Given sets A and B of positive integersWe are interested in counting the nu\ mber of Dyck paths whose peak-heights are never in A and valley-heights are never in B Below we give the quadratic equations satisfied by the generating function, \ as well as the expression in terms C=(1-sqrt(1-4*x))/(2*x), the generating function for the Catalan mumbers , a\ s well as the linear recurrence satisfied by the sequence and the value of, a(1000) for all sets A and B that are subsets of {1, 2, 3, 4, 5} ---------------------------- (A,B)= , {}, {} [-P^2*x+P-1, C, {(-n-1)*a(n)+(4*n-2)*a(n-1) = 0, a(1) = 1}, [1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420, 24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452, 18367353072152, 69533550916004, 263747951750360, 1002242216651368, 3814986502092304, 14544636039226909, 55534064877048198, 212336130412243110, 812944042149730764, 3116285494907301262, 11959798385860453492, 45950804324621742364, 176733862787006701400, 680425371729975800390, 2622127042276492108820, 10113918591637898134020, 39044429911904443959240, 150853479205085351660700, 583300119592996693088040, 2257117854077248073253720, 8740328711533173390046320, 33868773757191046886429490, 131327898242169365477991900, 509552245179617138054608572, 1978261657756160653623774456], 2046105521468021692\ 6425199829978272171792456423390579758445380995721760101918918639649680261564537\ 5244901575056942859509731816363437015463738066688288637520335965324339092971743\ 1080443509007504772912973142253209352126946839844796747697638537600100637918819\ 3265697309820830215380570877111762857779092758696486368748568059565800576731736\ 5566688700349394465016415339691092703740630179905258466361101689727289330553211\ 6292143271037140718751625839812072682464343153792956281748582435751481498598087\ 5869986039215775236574777757588999879540126410338706406654446516602460243181841\ 09046864244732001962029120] ---------------------------- (A,B)= , {}, {1} [P^2*x^3+2*P^2*x^2-3*P^2*x+P^2+3*P*x-2*P+1, -1/(C*x^2+x-1), {-(n-1)*n*a(n)+(n-1 )*(13*n-24)*a(n-1)+(-59*n^2+257*n-276)*a(n-2)+4*(28*n-73)*(n-3)*a(n-3)-2*(40*n-\ 129)*(n-4)*a(n-4)+(-3*n^2-51*n+228)*a(n-5)+6*(n-4)*(2*n-9)*a(n-6) = 0, a(1) = 1 , a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 58}, [1, 2, 4, 9, 22, 58, 163 , 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547, 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902, 23270147619699743008876442, 90093831591035950206998211, 349054331386847956567890747], 3289346391626539101813155177572627650945910687625\ 7280293061543499198850084245620127797199255923444911913880797074304561806787385\ 6833358462006718423451352159238438938096300049937145218583917590502626752228503\ 4926888559531903736341262514195381952881729901941796423040191760323852471411203\ 2741495691081086778367112337589506339674924288682609699359519898604413729795050\ 2989504863053048996896262986814038220065657454416551121987361549956867276657653\ 7672005908506328820762696090709573416126643680531141550140136744304118233012639\ 56441556987385331074176662063386923596445806146224162085175145927784775161] ---------------------------- (A,B)= , {}, {2} [P^2*x^3+6*P^2*x^2-2*P*x^3-5*P^2*x-7*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (C*x^ 2+x-1)/(C*x^2+2*x-1), {-n*(n-2)*a(n)+(16*n^2-59*n+42)*a(n-1)+(-101*n^2+535*n-\ 654)*a(n-2)+(317*n^2-2182*n+3648)*a(n-3)+(-506*n^2+4333*n-9174)*a(n-4)+(361*n^2 -3854*n+10212)*a(n-5)+(-70*n^2+1094*n-4056)*a(n-6)+(7*n^2-158*n+768)*a(n-7)+2*( n-8)*(2*n-15)*a(n-8) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a (6) = 97, a(7) = 276, a(8) = 805}, [1, 2, 5, 13, 35, 97, 276, 805, 2404, 7343, 22916, 72980, 236857, 782275, 2625265, 8938718, 30834165, 107608097, 379454447, 1350434278, 4845475311, 17512579630, 63703732426, 233063976059, 857067469749, 3166309373615, 11745982220846, 43736933794243, 163409819344676, 612415062653080 , 2301627415153461, 8672479097155517, 32755202434296043, 123984146212620561, 470251102237219228, 1786931561888319841, 6802111091955394040, 25935000481117133188, 99035202677825435351, 378714703735090725951, 1450161164914390585861, 5559907771213558938638, 21341984205122852560893, 82014231825056416720796, 315503776035235853259224, 1214944984225803265071151, 4682988152685541482167655, 18066884936114900040405865, 69761879491768621433998564, 269593873446659212331819465], 229485275428916687319\ 4745240744716696400162003604451471919349038871798708759985515980497399820654715\ 0060969824143252932008929597521566011492049908056876799309148452927276633725861\ 5159485764132310422370508440797246058226415190679318670046923534612412542454601\ 7351927882501324272614315282368024403215649010618328967673941022252336474830518\ 7253977578321308599177518955204412252535131569539025816113008149541208121560986\ 8582837353639148781278020621865080212450003366027924442848215597311601406989368\ 7991871039145110748048004169328308216003607981143848666627666052791798373189437\ 25965910838216803951755] ---------------------------- (A,B)= , {}, {3} [P^2*x^5-9*P^2*x^3+2*P*x^4+15*P^2*x^2+5*P*x^3-7*P^2*x-20*P*x^2+x^3+P^2+12*P*x+6 *x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^3-x^2)*C+x^2-3*x+1), {3*n*(n-3)*a(n)+(-59*n^ 2+273*n-208)*a(n-1)+(485*n^2-3015*n+4000)*a(n-2)+(-2155*n^2+16761*n-30368)*a(n-\ 3)+(5578*n^2-51990*n+117248)*a(n-4)+(-8411*n^2+91323*n-244240)*a(n-5)+(6902*n^2 -85860*n+265096)*a(n-6)+(-2486*n^2+36132*n-129880)*a(n-7)+(14*n^2-2568*n+18088) *a(n-8)+(174*n^2-1926*n+4296)*a(n-9)-2*(n-8)*(13*n-112)*a(n-10)+4*(2*n-19)*(n-\ 10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 41, a(6) = 123 , a(7) = 375, a(8) = 1158, a(9) = 3616, a(10) = 11408, a(11) = 36344}, [1, 2, 5 , 14, 41, 123, 375, 1158, 3616, 11408, 36344, 116887, 379425, 1242946, 4108608, 13702559, 46101320, 156443342, 535358524, 1847020480, 6422697809, 22503341559, 79416927946, 282201414414, 1009305302279, 3631928117088, 13144286287248, 47825317194305, 174880024092245, 642437035086245, 2370188361767701, 8779286888373549, 32638533007332596, 121752229459634305, 455603392106953800, 1709850976435435886, 6434232862104322508, 24272601426303701634, 91777909105927663749, 347768633099630523997, 1320406161293418332928, 5022614444437721823174, 19138279159863124583027, 73042742037287374175002, 279194686821542514498198, 1068690213380866135735911, 4096126734439159230090951, 15719447962188138773586787, 60396521751197338884445161, 232310207460223354533681003], 1695973929755398817913473977027133051778485561232\ 8593982293451343908263193657308658355594664612558312472959465687342034605208590\ 6779750720544164310609323939613641036345366831014365277446107240669709439425105\ 8233279007107476984899700986377774631381615160355208440639319526219481289982707\ 6734183574976936185408065781865802408704920258447365688322916117243192585018061\ 5589468762732897120370198668262558937739027073758760497628244890647107317941386\ 6868252510051904007476050444449655309633117208317681497309229663431704159644365\ 66441838307386123506779133238424569289782729081908763774889349348844443056] ---------------------------- (A,B)= , {}, {4} [4*P^2*x^5+11*P^2*x^4-4*P*x^5-34*P^2*x^3-5*P*x^4+x^5+28*P^2*x^2+38*P*x^3-9*P^2* x-42*P*x^2-9*x^3+P^2+16*P*x+15*x^2-2*P-7*x+1, ((x^3-x^2)*C+x^2-3*x+1)/((2*x^3-x ^2)*C+3*x^2-4*x+1), {-4*n*(n-4)*a(n)+(94*n^2-526*n+420)*a(n-1)+(-956*n^2+6854*n -9660)*a(n-2)+(5503*n^2-48013*n+92778)*a(n-3)+(-19667*n^2+201923*n-485814)*a(n-\ 4)+(44963*n^2-530825*n+1512678)*a(n-5)+(-65079*n^2+869841*n-2851662)*a(n-6)+( 56295*n^2-845901*n+3142962)*a(n-7)+(-24732*n^2+423684*n-1797096)*a(n-8)+(2509*n ^2-61855*n+350202)*a(n-9)+(956*n^2-12386*n+28452)*a(n-10)+(48*n^2-1488*n+10608) *a(n-11)+32*(n-12)*(2*n-23)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 42, a(6) = 131, a(7) = 418, a(8) = 1353, a(9) = 4423, a(10) = 14568, a(11) = 48280, a(12) = 160872}, [1, 2, 5, 14, 42, 131, 418, 1353, 4423, 14568, 48280, 160872, 538685, 1812191, 6123631, 20782695, 70836070, 242466683, 833467552, 2877157900, 9974226986, 34724685439, 121406810839, 426278478865, 1503093903193, 5322477108290, 18926241869271, 67580379602660, 242303623062953, 872276524844801, 3152608968407976, 11438505611967418, 41658987816653905, 152279424091775370, 558619530516786566, 2056268124281554911, 7594097859630318502, 28135063808496170674, 104552961942487462042, 389657056077668259551, 1456222389231035932025, 5456493349941828421167, 20496664183833830454779, 77175710997094175086346, 291240628260946913181321, 1101399930865589193449770, 4173591110874956120178709, 15845237296012016817071513, 60265132573773616513680070, 229598402746886565123775338], 1307737839072693407639253633132877948473935281350\ 4743197491050764601169580094334712087903383549704090149703076512430531624292338\ 6522586483357387986045723983222907951331746086116904400695165795823549651375039\ 2230638355913589811363025100838957526551530248947784574482385419991938500327778\ 1606668738303484667812612203640972767506602915540116800527261834917264388959226\ 3189896142331072975780066125821125993901167689224653808180753523287319127308791\ 9801024800627398139103924456985128491902277705189712262041475804808188026433295\ 01728316376767550127102100370382737469377799370134353505707090639214092603] ---------------------------- (A,B)= , {}, {5} [P^2*x^7-4*P^2*x^6-10*P^2*x^5+4*P*x^6+64*P^2*x^4-3*P*x^5-83*P^2*x^3-60*P*x^4+4* x^5+45*P^2*x^2+110*P*x^3+11*x^4-11*P^2*x-72*P*x^2-34*x^3+P^2+20*P*x+28*x^2-2*P-\ 9*x+1, ((-2*x^3+x^2)*C-3*x^2+4*x-1)/((x^4-3*x^3+x^2)*C+x^3-6*x^2+5*x-1), {5*n*( n-5)*a(n)+(-137*n^2+901*n-744)*a(n-1)+(1663*n^2-13535*n+19968)*a(n-2)+(-11767*n ^2+114005*n-231744)*a(n-3)+(53708*n^2-603022*n+1528824)*a(n-4)+(-165152*n^2+ 2107354*n-6326640)*a(n-5)+(346521*n^2-4952301*n+17061924)*a(n-6)+(-490448*n^2+ 7765912*n-30082260)*a(n-7)+(449609*n^2-7831861*n+33663564)*a(n-8)+(-242613*n^2+ 4647093*n-22053444)*a(n-9)+(57826*n^2-1260038*n+6765960)*a(n-10)+(4518*n^2-\ 42534*n-49008)*a(n-11)+(-4352*n^2+80128*n-349296)*a(n-12)+(559*n^2-11081*n+ 52716)*a(n-13)+(-64*n^2+1766*n-12168)*a(n-14)+8*(2*n-27)*(n-14)*a(n-15) = 0, a( 1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 42, a(6) = 132, a(7) = 428, a(8) = 1417, a(9) = 4758, a(10) = 16134, a(11) = 55099, a(12) = 189183, a(13) = 652347, a(14) = 2257473, a(15) = 7836258}, [1, 2, 5, 14, 42, 132, 428, 1417, 4758, 16134, 55099, 189183, 652347, 2257473, 7836258, 27277206, 95192585, 333008422, 1167651738, 4103448064, 14452528544, 51013762436, 180457302540, 639741208559, 2272894477581, 8092895729530, 28879165039014, 103282970001991, 370206629399041, 1329962001302928, 4788746379442237, 17282217967128657, 62514219405481402, 226655053310533856, 823689441933859510, 3000376814729480753, 10954771297051090152, 40090844257792464942, 147061391130370330002, 540703156801291401942, 1992594990689672404706, 7359869602023658416768, 27245901978664490885375, 101087928246029759621911, 375880330890256459364582, 1400668906606368486271026, 5230445691812287190048291, 19572192201909913033868389, 73386592660786308034545636, 275707261819816571342923109], 1041885347277881353639722706064229593536075746298\ 4309861654449107864596250963455771183211242998119119759331639254896118078253829\ 1650708337464110814028103155598099462050778880429001396937894834222034678018433\ 2921991772280278380051081025570459246902949484802103285976156719413737419401975\ 9008765806264239098150489411932755284728601854169616706678625375693031338756459\ 5772760940327207361160561471969954830048760050167020978956084306754354607927743\ 5199886693885760676624881802543262554309224604508169920127667827849852321140116\ 30406869905300489792423161456272953605807121226562297351614560672028157904] ---------------------------- (A,B)= , {}, {1, 2} [P^2*x^5+2*P^2*x^4+3*P^2*x^3-2*P^2*x^2-2*P^2*x+3*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x ^3+x^2+x-1), {-2*n*(n-2)*a(n)+(23*n-22)*(n-3)*a(n-1)-12*(7*n-13)*(n-4)*a(n-2)+( 77*n^2-685*n+1290)*a(n-3)+(123*n^2-669*n+774)*a(n-4)+(-180*n^2+1530*n-3156)*a(n -5)+(-42*n^2+300*n-540)*a(n-6)+(28*n^2-506*n+1788)*a(n-7)+(45*n^2-495*n+1374)*a (n-8)+6*(n-6)*(2*n-13)*a(n-9) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 90, a(8) = 227, a(9) = 610}, [1, 2, 4, 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412, 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621, 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881, 21251652820815936901293000, 82264384899019041597380619], 7472004740884143994679\ 7500115054143850894490808095492271517477755837141819565368378034042832799884183\ 5392913837686600373300932714162324198384339468904976189263445246123260400561472\ 0971176536316575409273226450456885738387261012234298147398550894624041521122725\ 8418065952000831868639452064522393808424009512510684880499929093707510695924259\ 0524343250041487619140308542239299828657104647707710891827879577545503633219684\ 0751414469909154932710321709382180009144619429722667562379640581778042866289048\ 4858649562563977617574024186871725418568036789598683993711545110993394332384635\ 337309261531230970400] ---------------------------- (A,B)= , {}, {1, 3} [P^2*x^5-2*P^2*x^4-P^2*x^3+2*P*x^4+7*P^2*x^2-P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P* x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^3-x^2)*C-2*x+1), {3*n*(n-3)*a(n)+(-49*n^2+ 231*n-176)*a(n-1)+(323*n^2-2049*n+2728)*a(n-2)+(-1101*n^2+8727*n-15912)*a(n-3)+ (2048*n^2-19536*n+44632)*a(n-4)+(-1943*n^2+22143*n-61336)*a(n-5)+(592*n^2-9246* n+33368)*a(n-6)+(382*n^2-3000*n+3488)*a(n-7)+(-334*n^2+3600*n-8600)*a(n-8)+(92* n^2-1212*n+3880)*a(n-9)-6*(3*n-28)*(n-10)*a(n-10)+4*(2*n-19)*(n-10)*a(n-11) = 0 , a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a(7) = 128, a(8 ) = 332, a(9) = 890, a(10) = 2467, a(11) = 7071}, [1, 2, 4, 9, 21, 51, 128, 332 , 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893, 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794, 15089579257931496563545286, 58295663546246877594396887], 4892069779579009411274\ 7017139328164654828763677680843602982257701455229505830004642802083317053346472\ 8927937577927648117368130058291771977686995588058038819207141347200917796949999\ 1721736098316703435056050693852383893132782659283939836242431460603596779379868\ 8357431316374277498718821819641893253386419900903916960970536472034361793943412\ 8149516439455922850762588236882112440889999928022631320191642665258125826217240\ 7360594395740783911211471870129555416229195900067034370608212234783745538953642\ 3960953677180616419353312387343263834447436139849821991238229034559503347731519\ 074517996563210755566] ---------------------------- (A,B)= , {}, {1, 4} [P^2*x^7+4*P^2*x^6+3*P^2*x^5-10*P^2*x^4+2*P*x^5-6*P^2*x^3+9*P*x^4+15*P^2*x^2+2* P*x^3-7*P^2*x-20*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^4+x^3 -x^2)*C+x^3+x^2-3*x+1), {4*n*(n-4)*a(n)+(-80*n^2+452*n-360)*a(n-1)+(672*n^2-\ 4884*n+6888)*a(n-2)+(-3057*n^2+27141*n-52698)*a(n-3)+(8021*n^2-84473*n+205722)* a(n-4)+(-11595*n^2+143499*n-421278)*a(n-5)+(6688*n^2-103042*n+372420)*a(n-6)+( 3342*n^2-33480*n+71280)*a(n-7)+(-5313*n^2+82011*n-311718)*a(n-8)+(-78*n^2-6042* n+52884)*a(n-9)+(1453*n^2-24541*n+102234)*a(n-10)+(148*n^2-562*n-7068)*a(n-11)+ (-158*n^2+3122*n-15372)*a(n-12)+(-10*n^2+112*n-24)*a(n-13)+4*(n-12)*(2*n-23)*a( n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 57, a(7) = 154, a(8) = 429, a(9) = 1224, a(10) = 3563, a(11) = 10559, a(12) = 31819, a(13) = 97436, a(14) = 303071}, [1, 2, 4, 9, 22, 57, 154, 429, 1224, 3563, 10559, 31819, 97436, 303071, 957243, 3069075, 9984422, 32941754, 110156492, 373079812, 1278724450, 4431688443, 15516802818, 54840480177, 195480007389, 702198168336, 2540097497458, 9246498530244, 33850900140822, 124562017355961, 460474583592852, 1709371196700818, 6369506596558392, 23815609325123664, 89324289694554085, 335977752850265854, 1267008137385093982, 4789422151612403024, 18144252231148972798, 68876940378596572617, 261952165825673090239, 997987334615151752363, 3808294605533813927184, 14554302536542119648365, 55701274128799764144116, 213458431913236298970108, 819032455039626187559624, 3146276070601256239493551, 12099615047608436225004151, 46579931850549476585985344], 34582724912631659802234557405510924739757049761870\ 8847117230561858204425178930696661227103895206723655315840496718716655987199804\ 5688504062187682812188420811310494324562670493359770146255377670218592900514299\ 4008702460535850170694824024229915296657559808732662030133786196497502884745866\ 8057442882961889695684367789976053383607820211289546444743256499842041753159442\ 6007104093665707568901908437658751381326161319990086402016016778731378093013689\ 4862827615945832288574708754132885767917257673277578746618971220330923534390270\ 456627514546396739728673161617909393360644088093486630243906050396212036] ---------------------------- (A,B)= , {}, {1, 5} [P^2*x^6+12*P^2*x^5+2*P^2*x^4-7*P*x^5-32*P^2*x^3+2*P*x^4+x^5+28*P^2*x^2+36*P*x^ 3-9*P^2*x-42*P*x^2-9*x^3+P^2+16*P*x+15*x^2-2*P-7*x+1, ((x^3-x^2)*C+x^2-3*x+1)/( (2*x^3-x^2)*C+x^3+3*x^2-4*x+1), {5*n*(n-5)*a(n)+(-119*n^2+787*n-648)*a(n-1)+( 1229*n^2-10087*n+14868)*a(n-2)+(-7197*n^2+70467*n-143460)*a(n-3)+(26143*n^2-\ 297479*n+757800)*a(n-4)+(-60249*n^2+783165*n-2374920)*a(n-5)+(85350*n^2-1256520 *n+4417836)*a(n-6)+(-64855*n^2+1091399*n-4430172)*a(n-7)+(11125*n^2-266597*n+ 1421844)*a(n-8)+(17186*n^2-281686*n+1129944)*a(n-9)+(-7979*n^2+157315*n-768168) *a(n-10)+(-1026*n^2+19878*n-95352)*a(n-11)+(305*n^2-7555*n+46716)*a(n-12)+14*(n -12)*(2*n-25)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a (6) = 58, a(7) = 162, a(8) = 472, a(9) = 1417, a(10) = 4346, a(11) = 13542, a( 12) = 42720, a(13) = 136145}, [1, 2, 4, 9, 22, 58, 162, 472, 1417, 4346, 13542, 42720, 136145, 437751, 1418948, 4634650, 15249652, 50539054, 168685877, 567008258, 1919280287, 6541888511, 22451967555, 77580651477, 269867121748, 944890787832, 3329458918299, 11804291862846, 42100187848741, 151008340323756, 544601614749250, 1974247386376834, 7192000368718769, 26321052896948679, 96748220827890322, 357068782147474374, 1322867613899216191, 4918439398728302329 , 18347657481720207130, 68655884590887466543, 257647589249638359845, 969480013556408583729, 3657087278888744591242, 13827399750833549472231, 52394426303080500649685, 198932176688402074701120, 756730782017972104817235, 2883632835635082873849820, 11006542020551426332304956, 42075419062584016863518513], 25802538835456992779112334180918114489430118999627\ 9915500726393595763977949643550693152931563661610405495614852356815347982777911\ 4649740778607199076974863492268655130923607607112080241124230049482565673245716\ 9738812803238395599693382335236455559989982149773835134264877298512775189041707\ 8610820412446987505476302869848750641075604569966549242234105847368781036870524\ 5709023898431447224606908260672962010743386074302580613227883700771698156613200\ 5128859231712070928037482908179839613635934951905772964302043838361029300108905\ 423149525258952230119063963748639705339054773820228889094440507740685260] ---------------------------- (A,B)= , {}, {2, 3} [P^2*x^5+2*P^2*x^4-2*P*x^5+6*P^2*x^3-4*P*x^4+x^5+P^2*x^2-9*P*x^3+2*x^4-4*P^2*x+ 2*P*x^2+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/(C*x^3+x^2+2*x-1), {-3 *n*(n-3)*a(n)+(44*n^2-210*n+160)*a(n-1)+(-240*n^2+1566*n-2100)*a(n-2)+(560*n^2-\ 4710*n+8800)*a(n-3)+(-328*n^2+3930*n-10004)*a(n-4)+(-669*n^2+6399*n-15576)*a(n-\ 5)+(695*n^2-8895*n+28456)*a(n-6)+(291*n^2-4023*n+13740)*a(n-7)+(-190*n^2+4578*n -24704)*a(n-8)+(-21*n^2+315*n-912)*a(n-9)+(102*n^2-2538*n+15216)*a(n-10)+10*(n-\ 11)*(5*n-56)*a(n-11)+12*(n-12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 241, a(8) = 653, a(9) = 1792, a(10) = 4987, a(11) = 14095, a(12) = 40524}, [1, 2, 5, 13, 34, 90, 241, 653, 1792, 4987, 14095, 40524, 118704, 354752, 1082769, 3376969, 10761563, 35018901, 116226782, 392839812, 1349763755, 4705693851, 16615763502, 59320991641, 213807939654, 776937598146, 2843138895879, 10467416747986, 38739912037692, 144033067963714, 537658194855348, 2014130218590035, 7568959247550506, 28523938056607085, 107767298248890123, 408099645698663151, 1548671737904672034, 5888310723215650335, 22428200241118864331, 85568291610046011852, 326960463062885016212, 1251112928797451595706, 4793762162991167716893, 18390735203605190395379, 70636930452546966380131, 271609657219882324575403, 1045472129155656754180415, 4028182163710258038445860, 15535051840334630402248686, 59965664889335184819981777], 4897005013158731887388\ 5358675123695751527307771028146913086189643681483391140575384484112520151221174\ 6367098041525546470940231535136713529006694575719925543894444996326928648203110\ 4491465282710778479591878762813554419354854776828418967802665456135567545437422\ 9369964670016656969361013432472612748632471897953443861221077408733509687134187\ 2078736367403766301289241881063687767065711689210527338904946202282852290661507\ 5331747146532094168606352685733617073562221576117430801763291328459372826050188\ 5210724156921456888221517281661820059628426709800368176505861354175689644438071\ 984759051084919923992] ---------------------------- (A,B)= , {}, {2, 4} [4*P^2*x^5-P^2*x^4-4*P*x^5-12*P^2*x^3+5*P*x^4+x^5+16*P^2*x^2+10*P*x^3-2*x^4-7*P ^2*x-22*P*x^2-x^3+P^2+12*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x+1)/((2*x^3-x^2)* C+x^2-3*x+1), {-4*n*(n-4)*a(n)+(80*n^2-452*n+360)*a(n-1)+(-678*n^2+4920*n-6936) *a(n-2)+(3169*n^2-27991*n+54222)*a(n-3)+(-8883*n^2+92355*n-223206)*a(n-4)+( 15103*n^2-181033*n+519942)*a(n-5)+(-14661*n^2+201351*n-671994)*a(n-6)+(6173*n^2 -102251*n+407694)*a(n-7)+(1258*n^2-8014*n-13596)*a(n-8)+(-1917*n^2+26523*n-\ 84402)*a(n-9)+(268*n^2-3502*n+8124)*a(n-10)+(16*n^2-256*n+912)*a(n-11)+32*(n-12 )*(2*n-23)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6 ) = 96, a(7) = 267, a(8) = 751, a(9) = 2134, a(10) = 6124, a(11) = 17751, a(12) = 51993}, [1, 2, 5, 13, 35, 96, 267, 751, 2134, 6124, 17751, 51993, 153983, 461455, 1400424, 4307259, 13435512, 42525951, 136629617, 445618655, 1475132271, 4954011514, 16867552635, 58176634850, 203060518029, 716527849673, 2553380347666 , 9179709093202, 33262470411787, 121368743742278, 445592810746904, 1644899158911866, 6101525651129273, 22729967823024401, 84999258587914927, 318940796715716508, 1200413047372199543, 4530489682839662216, 17141132011956589007, 65000274983999280171, 246994137137135270680, 940327786177410086516, 3586144644923302278327, 13698558699936326536726, 52404650094388000600858, 200755617030081174096130, 770066885511714233391397, 2957441586558685324496113, 11370998876971983013905993, 43766984250735263951047325], 32453504591510366120546120178072854340915666297102\ 4487765346804683958609877269258498770397872293549572038966291170025348077116054\ 1760434816610638976028794019637050599636531814612723582426856493778615204695394\ 3508553842637342435558763475116237351628617183413827667187720368965125621440840\ 8014191565768317357589521411215715854688080639720253552055848838781581290484327\ 9489003834319362255390916882131966003459823869498289335060511022120474755070369\ 1117682416033719820241547996826631080196799287975304809760027772712091162716161\ 652666296138962858781458092075537039950952808684913127108452901438061295] ---------------------------- (A,B)= , {}, {2, 5} [P^2*x^7+6*P^2*x^6-2*P*x^7+13*P^2*x^5-10*P*x^6+x^7-2*P^2*x^4-15*P*x^5+4*x^6-31* P^2*x^3+18*P*x^4+3*x^5+28*P^2*x^2+32*P*x^3-10*x^4-9*P^2*x-42*P*x^2-6*x^3+P^2+16 *P*x+15*x^2-2*P-7*x+1, ((x^4+x^3-x^2)*C+x^3+x^2-3*x+1)/((x^4+2*x^3-x^2)*C+x^3+3 *x^2-4*x+1), {-5*n*(n-5)*a(n)+(119*n^2-787*n+648)*a(n-1)+(-1229*n^2+10087*n-\ 14868)*a(n-2)+(7188*n^2-70386*n+143268)*a(n-3)+(-25969*n^2+295589*n-752496)*a(n -4)+(58857*n^2-765447*n+2317356)*a(n-5)+(-79450*n^2+1170074*n-4097448)*a(n-6)+( 50925*n^2-857919*n+3448764)*a(n-7)+(5824*n^2-64244*n+175152)*a(n-8)+(-23504*n^2 +455710*n-2207652)*a(n-9)+(2342*n^2-79642*n+564960)*a(n-10)+(4955*n^2-107083*n+ 577848)*a(n-11)+(26*n^2+11570*n-145464)*a(n-12)+(-2*n^2+190*n-1320)*a(n-13)+( 380*n^2-11584*n+87840)*a(n-14)+(170*n^2-5098*n+38208)*a(n-15)+12*(n-16)*(2*n-29 )*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6) = 97, a (7) = 275, a(8) = 794, a(9) = 2327, a(10) = 6906, a(11) = 20720, a(12) = 62777, a(13) = 191933, a(14) = 591913, a(15) = 1840948, a(16) = 5774118}, [1, 2, 5, 13 , 35, 97, 275, 794, 2327, 6906, 20720, 62777, 191933, 591913, 1840948, 5774118, 18265146, 58279725, 187606647, 609393990, 1997755271, 6610556342, 22080929845, 74452801203, 253393154024, 870339221721, 3016176488758, 10542952950116, 37157014109818, 131979589388003, 472236528641967, 1701335228452157, 6168583317752293, 22497587903920496, 82496845894519366, 304014782127434700, 1125445625065519077, 4183656358406354911, 15611036314088485222, 58453123667484094014, 219559949237586913775, 827083938623632921212, 3123852358413265169445, 11827148624886179991093, 44877878474021734872464, 170635853681309929377230, 650017412517916562610451, 2480473625200569794275597, 9480772646364577463665412, 36291304762406260027580438], 23133561043419660944535\ 6061286919621026527399277357490424731290040393828814199232109970765304411609927\ 2522129124004944055416190851785768355593308300313871851408526327818141883578128\ 6630253755302817477381472558011955037747247183948568777493258112311434028153863\ 3735256198835497810412469743969067263087499926743639131790809897070425262390754\ 2631757310342171817364553397204387617170422009006126050816253449160512349112927\ 2109756825955900049487363972878411807910240620863241830249034726745394869867266\ 1625732263629434546072101756515320124872263764366521243244922919264748651283526\ 87466971741769063956] ---------------------------- (A,B)= , {}, {3, 4} [P^2*x^7+2*P*x^6-9*P^2*x^4+2*P*x^5+6*P^2*x^3+5*P*x^4+x^5+8*P^2*x^2-14*P*x^3+2*x ^4-6*P^2*x-8*P*x^2+6*x^3+P^2+10*P*x+x^2-2*P-4*x+1, (-C*x^3-x^2-2*x+1)/((x^4-x^3 )*C+x^3-3*x+1), {4*n*(n-4)*a(n)+(-73*n^2+415*n-330)*a(n-1)+(536*n^2-3944*n+5568 )*a(n-2)+(-1973*n^2+17885*n-34914)*a(n-3)+(3510*n^2-38502*n+95244)*a(n-4)+(-\ 1425*n^2+22251*n-72426)*a(n-5)+(-4308*n^2+50100*n-146784)*a(n-6)+(5179*n^2-\ 70855*n+241638)*a(n-7)+(53*n^2-4427*n+32706)*a(n-8)+(-1692*n^2+33552*n-163896)* a(n-9)+(27*n^2-4599*n+39990)*a(n-10)+(288*n^2-6408*n+37560)*a(n-11)+(-42*n^2+ 2670*n-24492)*a(n-12)-12*(n-10)*(2*n-21)*a(n-13)-6*(n-11)*(n-14)*a(n-14)+12*(2* n-25)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 41, a (6) = 122, a(7) = 366, a(8) = 1104, a(9) = 3345, a(10) = 10177, a(11) = 31090, a(12) = 95378, a(13) = 293899, a(14) = 909919, a(15) = 2831556}, [1, 2, 5, 14, 41, 122, 366, 1104, 3345, 10177, 31090, 95378, 293899, 909919, 2831556, 8860433 , 27893562, 88389653, 282089890, 907205587, 2941666293, 9622133833, 31763826409 , 105860109943, 356267972792, 1210927380381, 4156709636026, 14408089873200, 50415991637325, 178019502020666, 634012419472639, 2276272642648568, 8233700437092204, 29988207989730182, 109908698773224907, 405124999930381458, 1501010510766965768, 5587206862419735611, 20884253147266505133, 78355977713482993482, 294977504703020921384, 1113837445014288687606, 4217355782293141659811, 16007698266066970705674, 60895656045712219495585, 232125786795597931186593, 886465558786317242824891, 3391040908173831757573474, 12992013444538257395582857, 49846992628576323168233250], 3464365543288424337058\ 1018578701861980718962786047724211316807658726721999926127532035730891370558783\ 0276871620381642871450391167872226550047159226261870464729757099426442003303286\ 8981713006280774948974200865013853518780446285569178607868621674204449978619165\ 6358866212746817188430695206664306058259488311089256562888949033536749582652385\ 5488836515467881643748464439670212450594435206020298021708515313390245700564180\ 6027327017630397638603122366628683429616259763089669156689167760225425562619411\ 8552737269064033240535971357931342348142694690079169710867749238733509815842413\ 424509026896362944042] ---------------------------- (A,B)= , {}, {3, 5} [P^2*x^7-6*P^2*x^6+8*P^2*x^5+4*P*x^6+16*P^2*x^4-13*P*x^5-39*P^2*x^3-8*P*x^4+4*x ^5+29*P^2*x^2+46*P*x^3-x^4-9*P^2*x-44*P*x^2-12*x^3+P^2+16*P*x+16*x^2-2*P-7*x+1, ((-2*x^3+x^2)*C-x^2+3*x-1)/((x^4-3*x^3+x^2)*C-3*x^2+4*x-1), {5*n*(n-5)*a(n)+(-\ 119*n^2+787*n-648)*a(n-1)+(1237*n^2-10145*n+14952)*a(n-2)+(-7369*n^2+71987*n-\ 146424)*a(n-3)+(27716*n^2-313846*n+797280)*a(n-4)+(-68194*n^2+878264*n-2646120) *a(n-5)+(109335*n^2-1581759*n+5485308)*a(n-6)+(-108162*n^2+1751526*n-6886884)*a (n-7)+(53779*n^2-1002671*n+4528836)*a(n-8)+(3131*n^2+26573*n-462708)*a(n-9)+(-\ 18510*n^2+309630*n-1269192)*a(n-10)+(8106*n^2-145614*n+637320)*a(n-11)+(-894*n^ 2+13830*n-42744)*a(n-12)+(-27*n^2+513*n-1788)*a(n-13)+(-56*n^2+1666*n-12216)*a( n-14)+8*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a (5) = 41, a(6) = 123, a(7) = 374, a(8) = 1147, a(9) = 3539, a(10) = 10971, a(11 ) = 34147, a(12) = 106670, a(13) = 334386, a(14) = 1051867, a(15) = 3320568}, [ 1, 2, 5, 14, 41, 123, 374, 1147, 3539, 10971, 34147, 106670, 334386, 1051867, 3320568, 10521210, 33466392, 106893515, 342941979, 1105502516, 3581986772, 11670182151, 38246323243, 126133068226, 418753556945, 1400005025373, 4714931793806, 15999451121506, 54713979976756, 188582424597473, 655124381561083 , 2293712297189415, 8092522016788098, 28764891506794058, 102979541808312151, 371193756494698581, 1346624614034074158, 4914867492520196355, 18039055878215296675, 66553209998972900452, 246715955708547763272, 918596795247536924548, 3433899155900615474763, 12883420249679136253323, 48496845608826517537269, 183106621195630851320724, 693240958101695036005920, 2631156964471804833597759, 10009104507533274796678229, 38154272002017704533703409], 23150994639397769228012262055289813223019369843492\ 7778731127167483088613727230617505401205294436596366980307043853834930291443493\ 1779278020408316441714416782606186763213542783386723219631039987289588079422503\ 0763272649586823375866123443789566749939605859876237677954165412518549294956015\ 0363299651340066198517850056747999946741669505264950917764707489282318569601291\ 4990306099098795039888033474171091823480557412066524201691224153177205950386765\ 0191492257600897209887160044042822497928933680529412921452357878161163359197832\ 605270290059663590467942816721677590812465823491128334946490365631316281] ---------------------------- (A,B)= , {}, {4, 5} [4*P^2*x^7+4*P^2*x^6-4*P*x^7+11*P^2*x^5-2*P*x^6+x^7-22*P^2*x^4-5*P*x^5-6*P^2*x^ 3+32*P*x^4+19*P^2*x^2-4*P*x^3-9*x^4-8*P^2*x-26*P*x^2+6*x^3+P^2+14*P*x+8*x^2-2*P -6*x+1, ((x^4-x^3)*C+x^3-3*x+1)/((2*x^4-x^3)*C+2*x^3+2*x^2-4*x+1), {-5*n*(n-5)* a(n)+(110*n^2-730*n+600)*a(n-1)+(-1020*n^2+8430*n-12420)*a(n-2)+(5118*n^2-50682 *n+103344)*a(n-3)+(-14625*n^2+169575*n-434244)*a(n-4)+(21685*n^2-293261*n+ 903456)*a(n-5)+(-6782*n^2+129982*n-514992)*a(n-6)+(-25837*n^2+367409*n-1310220) *a(n-7)+(31916*n^2-525460*n+2154936)*a(n-8)+(-2814*n^2+40248*n-135672)*a(n-9)+( -11204*n^2+253108*n-1401288)*a(n-10)+(2142*n^2-75318*n+563160)*a(n-11)+(510*n^2 -13056*n+78480)*a(n-12)+(196*n^2+7024*n-122328)*a(n-13)+(360*n^2-11688*n+93408) *a(n-14)+(112*n^2-3584*n+28512)*a(n-15)+96*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 42, a(6) = 131, a(7) = 417, a(8) = 1342, a(9) = 4346, a(10) = 14130, a(11) = 46069, a(12) = 150535, a(13) = 492836 , a(14) = 1616385, a(15) = 5310604, a(16) = 17478436}, [1, 2, 5, 14, 42, 131, 417, 1342, 4346, 14130, 46069, 150535, 492836, 1616385, 5310604, 17478436, 57628819, 190364762, 630063620, 2089697900, 6946121103, 23143399709, 77305687143, 258925947647, 869773460741, 2930861339298, 9909221357542, 33623178948173, 114523487806301, 391659249584942, 1345177345950401, 4640907268125956, 16086679052897044, 56033621880012507, 196162822058919888, 690277099714347688, 2441779158746813663, 8683321245954573000, 31043066579477461600, 111564871904649310706, 403034230817573800948, 1463387215192671312665, 5339690077769145096704, 19576555829094082551365, 72099717753758660314614, 266694159227482026708999, 990549415997556976378093, 3693330990693321949012521, 13820866823453778906050112, 51894752004121259182064543], 25863140282322621879047808824554576797625386859292\ 9108983141776554567471297895374904179656003364421651948952290614960213513703191\ 1995931437606294315418974927170748470801882887627419113133723908129949851952046\ 1816560063048085569603517356238311286105530761278436849489648004032903004000603\ 6688151598707214399043561497877182999294928718812952483636338372238000010313860\ 8659013894805337326164612769983845779756032542257682289148950416766642025872237\ 8754710440657481367633494976083698554837802491495244282501853923285957359358083\ 077726881588466415865188081666383075938287620907441196109474253107388573] ---------------------------- (A,B)= , {}, {1, 2, 3} [P^2*x^7+2*P^2*x^6+3*P^2*x^5+4*P^2*x^4-P^2*x^3-P^2*x^2+3*P*x^3-2*P^2*x+2*P*x^2+ P^2+2*P*x-2*P+1, -1/(C*x^4+x^3+x^2+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n -1)+(-126*n^2+852*n-1140)*a(n-2)+(151*n^2-1287*n+2360)*a(n-3)+(-6*n^2-42*n+228) *a(n-4)+(116*n^2-468*n-332)*a(n-5)+(-289*n^2+2793*n-6416)*a(n-6)+(-79*n^2+645*n -1244)*a(n-7)+(44*n^2-864*n+3352)*a(n-8)+(98*n^2-1680*n+6556)*a(n-9)+(108*n^2-\ 1458*n+4992)*a(n-10)+(45*n^2-675*n+2544)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 154, a(9) = 355, a(10) = 866, a(11) = 2251, a(12) = 6245}, [1, 2, 4, 8, 16, 33, 70, 154, 355, 866, 2251, 6245, 18414, 57213, 185405, 620629, 2129017, 7439673, 26367505, 94489799, 341625588, 1244174774, 4559060423, 16793971554, 62147298893 , 230913270440, 861080917988, 3221443510012, 12087494204050, 45476623926282, 171517584430018, 648354248106943, 2455977538768902, 9321340465911779, 35441752116509282, 134983876626973003, 514909491556427422, 1967067133445470167, 7525021790792224809, 28824459171118788381, 110547017150291455062, 424458971535679006492, 1631548699699498919233, 6277908484546161213133, 24180064675135846380835, 93219365568695176660551, 359700693295280978180857, 1389135191429884881412863, 5369066755275877444913157, 20767693084841114072336146], 18270849281318470214912861762091030576664958356801\ 0129264062424711012493441657007072129210899532853729992858632435666937175121298\ 9005174435890328672863062373682801309547034329605434688264358592183544867281876\ 4532050416309586232173179645270510734882714184238041449207630303650547150461402\ 2345382617648054402675470887885743221261902107344045379835548885693116082737985\ 2931504384044312900178074120869467929960755868706315510891559665788555667043497\ 9579782375863607251667976276196317498584505396406555204444903908198414034969230\ 658302915630544308490848126947454719775947885522262992406778996616227557] ---------------------------- (A,B)= , {}, {1, 2, 4} [P^2*x^7+2*P^2*x^6-P^2*x^5-4*P^2*x^4+2*P*x^5+3*P*x^4+7*P^2*x^2-2*P*x^3-5*P^2*x-\ 8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4+x^3-x^2)*C-2*x+1), {4 *n*(n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(442*n^2-3262*n+4596)*a(n-2)+(-1537*n^ 2+13837*n-26898)*a(n-3)+(2897*n^2-30977*n+75834)*a(n-4)+(-2607*n^2+33315*n-\ 99702)*a(n-5)+(210*n^2-6000*n+28080)*a(n-6)+(1202*n^2-17084*n+59568)*a(n-7)+(-\ 149*n^2+5735*n-34038)*a(n-8)+(-612*n^2+8076*n-24120)*a(n-9)+(49*n^2-1873*n+ 11322)*a(n-10)+(192*n^2-2778*n+9444)*a(n-11)-4*(n-10)*(4*n-69)*a(n-12)+(-2*n^2-\ 4*n+288)*a(n-13)+4*(n-12)*(2*n-23)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a (4) = 8, a(5) = 17, a(6) = 37, a(7) = 83, a(8) = 192, a(9) = 459, a(10) = 1138, a(11) = 2936, a(12) = 7903, a(13) = 22218, a(14) = 65175}, [1, 2, 4, 8, 17, 37, 83, 192, 459, 1138, 2936, 7903, 22218, 65175, 198917, 628959, 2050153, 6855128, 23407513, 81308699, 286415136, 1020573407, 3671355698, 13312909731, 48602478278 , 178470974146, 658671943652, 2441717945560, 9087149807600, 33937859020234, 127149240402589, 477734739086633, 1799671466679912, 6795752854498261, 25717969310894055, 97525337941110410, 370523153672322732, 1410174597352181001, 5375745505630004669, 20524218985491716861, 78472061035063120081, 300432029499383256603, 1151664168013067587651, 4420003754398851129803, 16982747435696406651124, 65321405484883956189121, 251501845646945413997161, 969265212111199370796234, 3738860493752034608391477, 14434840535757446981197818 ], 1178801996032309399573084554121706211782273360484517940588928071905489844676\ 3954036539328536354196274375170948255397324732937116715552815893004601441299597\ 4593993136387044780795241912148167810156328389991810634069786933216489267224874\ 2218095595501694211471799988010468684355599375850564204115426353464838558776367\ 5409762336773294951230151028987462925076268440508938761451564931451904629238495\ 7643135075416959486759254862140826265632451603988924433027074095057111777083149\ 2730601990132657376825668538896192626228111644226138976218072080909382553689115\ 9682454178109474509747342796144027641560751775] ---------------------------- (A,B)= , {}, {1, 2, 5} [P^2*x^9+4*P^2*x^8+7*P^2*x^7+6*P^2*x^6-7*P^2*x^5+2*P*x^6-7*P^2*x^4+9*P*x^5-6*P^ 2*x^3+6*P*x^4+15*P^2*x^2+2*P*x^3-7*P^2*x-20*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+ 1, (-C*x^2-2*x+1)/((x^5+x^4+x^3-x^2)*C+x^4+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-\ 101*n^2+673*n-552)*a(n-1)+(859*n^2-7127*n+10488)*a(n-2)+(-3968*n^2+39370*n-\ 80232)*a(n-3)+(10624*n^2-122942*n+314640)*a(n-4)+(-15950*n^2+212224*n-650352)*a (n-5)+(11035*n^2-167735*n+601104)*a(n-6)+(-965*n^2+11173*n-33768)*a(n-7)+(1755* n^2-4587*n-70416)*a(n-8)+(-6438*n^2+102900*n-399504)*a(n-9)+(690*n^2-23712*n+ 157416)*a(n-10)+(2191*n^2-44357*n+215136)*a(n-11)+(1402*n^2-23474*n+94080)*a(n-\ 12)+(-207*n^2+8667*n-66648)*a(n-13)+(-504*n^2+11334*n-63672)*a(n-14)+(-174*n^2+ 3906*n-21720)*a(n-15)+(-10*n^2+152*n-288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0 , a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 89, a(8) = 218, a(9) = 556, a(10) = 1470, a(11) = 4013, a(12) = 11275, a(13) = 32521, a( 14) = 96112, a(15) = 290606, a(16) = 897827, a(17) = 2830919}, [1, 2, 4, 8, 17, 38, 89, 218, 556, 1470, 4013, 11275, 32521, 96112, 290606, 897827, 2830919, 9098930, 29774040, 99059883, 334640449, 1146257578, 3975782350, 13945639708, 49408895435, 176620768917, 636376878693, 2309066465569, 8430761932916, 30953285631364, 114207776916400, 423259836801093, 1574868079479209, 5880797021621420, 22031016469313911, 82777020545806521, 311852258588739344, 1177749063971033930, 4457940705361997034, 16908946724946276385, 64258626916747353747, 244634862124262177676, 932874386620003596174, 3562849011483141326910, 13626912767314469639519, 52189599870436063466196, 200134161084621479103774, 768381386549554726346561, 2953393066647864114580047, 11363901330006054537113474], 82507813448679839868413892781781343186552558334984\ 1106741425275276031922567891086969615061061600775200746400300948167259825566018\ 7251600044885892551200828840980394802647682425239991112950617540708764515518065\ 4641488347805443443966984765533960944654035083796333909436842444956700775589079\ 7293304999414147232106779735861974227845932588599397242005841234853727821417923\ 2170438195906906805368060399081924584290744568102849346910388488270140933594371\ 9241390487956267723003364410182822583551942958648747238990932799675452822955728\ 71240720892412167480965306723634127719277197159590881430209723050136685] ---------------------------- (A,B)= , {}, {1, 3, 4} [P^2*x^7-3*P^2*x^5+2*P*x^6-4*P^2*x^4+2*P*x^5+9*P^2*x^3-P*x^4+x^5+P^2*x^2-12*P*x ^3+2*x^4-4*P^2*x+2*P*x^2+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^ 4-x^3)*C+x^3-x^2-2*x+1), {4*n*(n-4)*a(n)+(-59*n^2+341*n-270)*a(n-1)+(324*n^2-\ 2442*n+3444)*a(n-2)+(-743*n^2+7037*n-13854)*a(n-3)+(221*n^2-3785*n+10878)*a(n-4 )+(1892*n^2-19826*n+51444)*a(n-5)+(-2435*n^2+30713*n-95142)*a(n-6)+(-626*n^2+ 8576*n-30672)*a(n-7)+(2133*n^2-34551*n+140778)*a(n-8)+(-230*n^2+6944*n-42432)*a (n-9)+(-606*n^2+9906*n-41076)*a(n-10)+(140*n^2-4820*n+35928)*a(n-11)+(66*n^2-\ 426*n-3084)*a(n-12)-36*(2*n-25)*(n-14)*a(n-13)-6*(n-11)*(n-14)*a(n-14)+12*(2*n-\ 25)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a(7) = 121, a(8) = 297, a(9) = 740, a(10) = 1875, a(11) = 4844, a(12) = 12800, a(13) = 34712, a(14) = 96913, a(15) = 279240}, [1, 2, 4, 9, 21, 50, 121, 297, 740, 1875, 4844, 12800, 34712, 96913, 279240, 831417, 2557596, 8115651, 26491594, 88655882, 303076467, 1054726582, 3725047535, 13316579259, 48083008546 , 175057938265, 641757808827, 2366424216953, 8769548807303, 32638652865431, 121933486244840, 457045791049953, 1718252163858259, 6477025204905697, 24474706517765956, 92687381504787734, 351727164909999369, 1337225973712511973, 5092807194441420643, 19427199208179068085, 74219248039672152413, 283944943208220778187, 1087739814024004479727, 4172101943511854104294, 16021111877235430344520, 61589950540609183239607, 237017569592011560819886, 913021208105483296303901, 3520374635953704731240070, 13585772461438598674043386 ], 1095145136471159365209915760578929081186961754903785676518026272897090953855\ 2450695564934323590827787736682151310758389007538845782851189772828316017376884\ 7387118781020730209162201941592364130646346362606671742603287905635915156079280\ 1645207515846730336945608009121602951391189409490828781177564960584564725635702\ 5601056937968706603143723148082329999209851054923253815439107363765642473396804\ 9216900043211784506442012361889029183166868251841035678140911076900709031111698\ 0457479530098903117441545374785747328317671013385987824222531741816808182811075\ 1658181141448672275680012344259571913774331394] ---------------------------- (A,B)= , {}, {1, 3, 5} [P^2*x^6+8*P^2*x^5-8*P^2*x^4-5*P*x^5-10*P^2*x^3+10*P*x^4+x^5+16*P^2*x^2+8*P*x^3 -2*x^4-7*P^2*x-22*P*x^2-x^3+P^2+12*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x+1)/((2 *x^3-x^2)*C+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+(867*n^ 2-7185*n+10572)*a(n-2)+(-4107*n^2+40629*n-82740)*a(n-3)+(11585*n^2-133429*n+ 340968)*a(n-4)+(-19189*n^2+254357*n-778848)*a(n-5)+(15710*n^2-244288*n+889596)* a(n-6)+(647*n^2+18437*n-161772)*a(n-7)+(-11987*n^2+183007*n-689316)*a(n-8)+( 7188*n^2-126504*n+551376)*a(n-9)+(603*n^2-11379*n+55056)*a(n-10)+(-1270*n^2+ 27470*n-148440)*a(n-11)+(35*n^2-1225*n+9540)*a(n-12)+10*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a(7) = 127, a(8) = 323, a(9) = 836, a(10) = 2199, a(11) = 5876, a(12) = 15957, a(13) = 44079}, [1, 2, 4, 9, 21, 51, 127, 323, 836, 2199, 5876, 15957, 44079, 124012, 355832, 1042667, 3123363, 9570708, 30001199, 96155803, 314763098, 1050754591, 3570595954, 12327034026, 43153369179, 152902895938, 547446939788, 1977699248923 , 7199872364153, 26385961291553, 97255909086726, 360271175233058, 1340426783057376, 5006466732460601, 18763152277285370, 70535588722173141, 265891976935986804, 1004808055067032012, 3805789829702950516, 14444636763184381791, 54928274066054309597, 209242219970646205698, 798382288914271407836, 3050923073729894779242, 11675255773510615258620, 44738038096788747316665, 171643515907771180312682, 659304073511343242433124, 2535262399537368129283494, 9759158234763288683954452], 719079792812490876672042\ 3116326942575907516122358605052668625337985308106006428120313012156038346597206\ 3351463380538916603750254747179682287661320227669209476827336621650246479653491\ 5883838810980704749744039754700752040369811524365835621301432614616295093361753\ 1968516777660735839130464343000053222112739886035154158066531353436293802529191\ 1822553009461330542549605274416778883271132938744802989496153910284831168781109\ 7571310121399625337285555296732391405227275969826321476740096766192515115423496\ 3447409986149299186675311002135845882453763251409205242650377648760362693048433\ 347261378020418320] ---------------------------- (A,B)= , {}, {1, 4, 5} [P^2*x^9+4*P^2*x^8+6*P^2*x^7+3*P^2*x^6+2*P*x^7-10*P^2*x^5+6*P*x^6-12*P^2*x^4+11 *P*x^5+8*P^2*x^3+6*P*x^4+x^5+8*P^2*x^2-16*P*x^3+2*x^4-6*P^2*x-8*P*x^2+6*x^3+P^2 +10*P*x+x^2-2*P-4*x+1, (-C*x^3-x^2-2*x+1)/((x^5+x^4-x^3)*C+x^4+2*x^3-3*x+1), {5 *n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+(682*n^2-5714*n+8400)*a(n-2)+(-2524*n^ 2+25496*n-52080)*a(n-3)+(4369*n^2-52745*n+136872)*a(n-4)+(-842*n^2+18106*n-\ 66456)*a(n-5)+(-7731*n^2+104847*n-345216)*a(n-6)+(6224*n^2-105940*n+426408)*a(n -7)+(6720*n^2-100560*n+375552)*a(n-8)+(-5917*n^2+113705*n-533952)*a(n-9)+(-4787 *n^2+84727*n-375792)*a(n-10)+(1562*n^2-43954*n+282072)*a(n-11)+(2458*n^2-51374* n+269568)*a(n-12)+(561*n^2-3849*n-28488)*a(n-13)+(-452*n^2+13780*n-100824)*a(n-\ 14)+(-166*n^2+3338*n-15360)*a(n-15)+(124*n^2-3980*n+31440)*a(n-16)+(106*n^2-\ 3194*n+24048)*a(n-17)+12*(n-16)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 57, a(7) = 153, a(8) = 420, a(9) = 1170, a(10) = 3294, a(11) = 9354, a(12) = 26771, a(13) = 77213, a(14) = 224508, a(15) = 658527, a(16) = 1950247, a(17) = 5837328, a(18) = 17677231}, [1, 2, 4, 9, 22, 57, 153, 420, 1170, 3294, 9354, 26771, 77213, 224508, 658527, 1950247, 5837328, 17677231, 54220115, 168613652, 532090143, 1704951296, 5549063814, 18344739870, 61580776476, 209770958888, 724483658276, 2534162077495, 8967237984278, 32061544940419, 115692817062774, 420871048005106, 1541976674933452, 5684657947141671, 21071122978140612, 78475178946328823, 293484042059348624, 1101609580488281118, 4148373911379591789, 15666746896283486635, 59319549137475698758, 225124149252691548027, 856160641962419737101, 3262232124476800516234, 12451734656918179682822, 47603487728157723259241, 182258625671484213758142, 698764691669468864162448, 2682415687387699607071396, 10309483428127291026228634], 73065626082018664616641235332541158052174001845328\ 8521090648845294493092452900474040900359290451573692339874839979518375580414538\ 1646638323562821527085343107269583690345013077479880030849174516267747295025637\ 8260760156554443529427411328202735518069859258739314223865685246441859408360484\ 3346976703804417787031947481061437681913122655008415450060000868054946102864235\ 4420783554072670935863235697779194929553326546025806292993384507639733718898805\ 4374090124142644627113251797086633333921937012134818065430562700509038695601666\ 74263647049075081588694637898974790296401446904869384977253331887236029] ---------------------------- (A,B)= , {}, {2, 3, 4} [P^2*x^7+2*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6+x^7+7*P^2*x^4-6*P*x^5+2*x^6+P^2*x^ 3-11*P*x^4+3*x^5+2*P^2*x^2+4*x^4-4*P^2*x-x^3+P^2+6*P*x-x^2-2*P-2*x+1, (C*x^4+x^ 3+x^2+x-1)/(C*x^4+x^3+x^2+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-\ 330*n^2+2478*n-3492)*a(n-2)+(850*n^2-7822*n+15228)*a(n-3)+(-957*n^2+10239*n-\ 24714)*a(n-4)+(489*n^2-4683*n+10818)*a(n-5)+(-875*n^2+8891*n-22194)*a(n-6)+( 1067*n^2-15311*n+55302)*a(n-7)+(175*n^2-2101*n+5094)*a(n-8)+(160*n^2-1606*n+924 )*a(n-9)+(-305*n^2+9023*n-60102)*a(n-10)+(-47*n^2+269*n+3846)*a(n-11)+3*(39*n-\ 482)*(n-19)*a(n-12)+(298*n^2-9016*n+66936)*a(n-13)+9*(n-14)*(19*n-273)*a(n-14)+ 2*(53*n-722)*(n-15)*a(n-15)+20*(n-16)*(2*n-27)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 89, a(7) = 234, a(8) = 618, a(9) = 1640, a(10) = 4376, a(11) = 11752, a(12) = 31805, a(13) = 86879, a(14) = 239994, a(15 ) = 671919, a(16) = 1911312}, [1, 2, 5, 13, 34, 89, 234, 618, 1640, 4376, 11752 , 31805, 86879, 239994, 671919, 1911312, 5537980, 16384320, 49595470, 153808297 , 488931970, 1592361883, 5306105473, 18054278237, 62577136598, 220389610310, 786780957250, 2840855165618, 10354965921260, 38041445454095, 140670503797281, 523028023887384, 1953676315780755, 7326397420971408, 27567826880577652, 104039826868380965, 393667120433269252, 1493024594082266366, 5674283989661470077, 21606116405077256304, 82412420057944117817, 314846146756089219047, 1204597057512786076544, 4615063505097874544312, 17703793918692083113782, 67994323394431422554515, 261435923347769357720537, 1006273391466814251724309, 3877031727162363695188142, 14951755686860500250449014], 11802348120199277499039621056693700501067455124634\ 6429561309453363752772986871387655573227610670570079070482714091739913108589668\ 1169176534836225520021616964891669954944154133234384483659756173822703844998557\ 5435532582990351979111818771180133729393683317117900052581660979992252563770092\ 0526259586714898174083420346587944753573436235258644866875659916630305745481513\ 2206117399217165097853964391649973437959130831825997882694814503723410698028725\ 7654186172421402487223250711390857517368570079611231070056394021893842566354979\ 039221393963787989784428925370974367101836431532830271557057744641529635] ---------------------------- (A,B)= , {}, {2, 3, 5} [P^2*x^7+4*P^2*x^6-2*P*x^7+3*P^2*x^5-6*P*x^6+x^7-4*P^2*x^4-P*x^5+2*x^6-11*P^2*x ^3+10*P*x^4-x^5+16*P^2*x^2+8*P*x^3-4*x^4-7*P^2*x-22*P*x^2+P^2+12*P*x+7*x^2-2*P-\ 5*x+1, ((x^4+x^3-x^2)*C-2*x+1)/((x^4+2*x^3-x^2)*C+x^2-3*x+1), {-5*n*(n-5)*a(n)+ (101*n^2-673*n+552)*a(n-1)+(-867*n^2+7185*n-10572)*a(n-2)+(4112*n^2-40654*n+ 82740)*a(n-3)+(-11671*n^2+134027*n-341520)*a(n-4)+(19803*n^2-259773*n+787764)*a (n-5)+(-18082*n^2+269390*n-946272)*a(n-6)+(4765*n^2-84467*n+345084)*a(n-7)+( 4600*n^2-82412*n+368568)*a(n-8)+(-1640*n^2+44362*n-265932)*a(n-9)+(-1960*n^2+ 33368*n-138672)*a(n-10)+(483*n^2-16107*n+120408)*a(n-11)+(242*n^2-2074*n-11496) *a(n-12)+(-22*n^2+1442*n-14904)*a(n-13)+(92*n^2-2764*n+20736)*a(n-14)+(106*n^2-\ 3194*n+24048)*a(n-15)+12*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 240, a(8) = 644, a(9) = 1738, a(10 ) = 4717, a(11) = 12878, a(12) = 35386, a(13) = 97940, a(14) = 273330, a(15) = 770143, a(16) = 2194161}, [1, 2, 5, 13, 34, 90, 240, 644, 1738, 4717, 12878, 35386, 97940, 273330, 770143, 2194161, 6331628, 18539483, 55182440, 167242655, 516798830, 1629690101, 5245954060, 17231996374, 57708762071, 196763218447, 681880871089, 2397388112974, 8535603422782, 30721360529212, 111602251368495, 408632130037597, 1506283367753998, 5584249409005756, 20804112748123501, 77833202960663966, 292260103007861980, 1100940795552059260, 4158955220882593023 , 15750516185175923884, 59783704110837888204, 227380821577213283764, 866419092510525762598, 3307024286137331087053, 12642225438080968679409, 48398937702276512042298, 185536791218470561239545, 712142977900262891469944, 2736608751438730809705187, 10527752994920885563160395], 76369870954116129816719\ 3300263846163971090378275381036129843905271254802673937252563644949754971642904\ 2714090674924724099363102218797145064298513360389301143088027311513816066788437\ 2891880782951279542853206722482785364000347711334546638163794939497450818271141\ 9258854363975022793260635249047115542209530447707972131034287668297261160196229\ 6621024559999542006337410836545854500040941442918415821264563899244552884721919\ 7468679552483329787332187412429521217307550785287004226407312515194087587639896\ 0726496556341612053150899862297287134372573539719576491639360111293972257668060\ 5232354131129451601] ---------------------------- (A,B)= , {}, {2, 4, 5} [4*P^2*x^7+4*P^2*x^6-4*P*x^7-P^2*x^5-2*P*x^6+x^7-18*P^2*x^4+7*P*x^5+9*P^2*x^3+ 20*P*x^4-3*x^5+8*P^2*x^2-20*P*x^3-4*x^4-6*P^2*x-8*P*x^2+9*x^3+P^2+10*P*x+x^2-2* P-4*x+1, ((x^4-x^3)*C+x^3-x^2-2*x+1)/((2*x^4-x^3)*C+2*x^3-3*x+1), {-5*n*(n-5)*a (n)+(92*n^2-616*n+504)*a(n-1)+(-682*n^2+5714*n-8400)*a(n-2)+(2515*n^2-25415*n+ 51888)*a(n-3)+(-4210*n^2+51086*n-132360)*a(n-4)+(-285*n^2-4839*n+26112)*a(n-5)+ (11736*n^2-156960*n+518928)*a(n-6)+(-13178*n^2+203860*n-776592)*a(n-7)+(-3468*n ^2+56388*n-229704)*a(n-8)+(12212*n^2-235216*n+1122408)*a(n-9)+(-2286*n^2+67656* n-441792)*a(n-10)+(-2634*n^2+48750*n-217632)*a(n-11)+(-298*n^2-5488*n+103824)*a (n-12)+(196*n^2+3136*n-73464)*a(n-13)+(-24*n^2+1176*n-11424)*a(n-14)+(112*n^2-\ 3584*n+28512)*a(n-15)+96*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6) = 96, a(7) = 266, a(8) = 742, a(9) = 2080, a(10 ) = 5855, a(11) = 16546, a(12) = 46946, a(13) = 133776, a(14) = 383042, a(15) = 1102787, a(16) = 3195032}, [1, 2, 5, 13, 35, 96, 266, 742, 2080, 5855, 16546, 46946, 133776, 383042, 1102787, 3195032, 9324614, 27444921, 81570546, 245162913 , 746198434, 2303251972, 7218739098, 22995696446, 74502934191, 245545302210, 823028449086, 2803707906259, 9697132286230, 34009239204653, 120777015046409, 433690916953456, 1572457573476806, 5749329414114471, 21173332010212701, 78460613123406573, 292296476193466216, 1093910544258216425, 4110126779939374816 , 15495929302260218223, 58597758709538154020, 222171925697860143254, 844330089341034877678, 3215451191003308007522, 12268383908517960160431, 46889118358230697472564, 179486235535637924070744, 688032813872995752983291, 2640938766418051210552970, 10149327476531889759028619], 71991343213487870275577\ 3113904854371394935468963200308065655844412137574089080967124640416945712390215\ 1214111588539140545834170332879492416113559398477713063303372010437590850009555\ 2379761594382550963273463219993064576810832851204327834173292694602550819164717\ 8090156570607273239790529347348357219391150913266584198734568846431416859552512\ 8879525348077633452521686478124847988410390876436466960468912177769567463653956\ 0575960382134986011185563125010910953782639050993384983981974699761698235627696\ 7148227749828205546076999127099439863899504188309224895292199590883838134729185\ 0474405360309252130] ---------------------------- (A,B)= , {}, {3, 4, 5} [P^2*x^9+2*P*x^8+2*P*x^7-9*P^2*x^5+2*P*x^6+x^7+6*P^2*x^4+5*P*x^5+2*x^6-P^2*x^3-\ 14*P*x^4+3*x^5+9*P^2*x^2-2*P*x^3+7*x^4-6*P^2*x-10*P*x^2+x^3+P^2+10*P*x+2*x^2-2* P-4*x+1, (-C*x^4-x^3-x^2-2*x+1)/((x^5-x^4)*C+x^4-3*x+1), {5*n*(n-5)*a(n)+(-92*n ^2+616*n-504)*a(n-1)+(690*n^2-5772*n+8484)*a(n-2)+(-2689*n^2+26927*n-54840)*a(n -3)+(5746*n^2-66752*n+170196)*a(n-4)+(-6726*n^2+87198*n-261300)*a(n-5)+(5459*n^ 2-71845*n+231696)*a(n-6)+(-6992*n^2+94786*n-322692)*a(n-7)+(7743*n^2-118617*n+ 454800)*a(n-8)+(-2966*n^2+49642*n-205248)*a(n-9)+(1277*n^2-28465*n+156456)*a(n-\ 10)+(-1656*n^2+42066*n-261108)*a(n-11)+(68*n^2-10582*n+111288)*a(n-12)+(268*n^2 -3884*n+11328)*a(n-13)+(192*n^2-7008*n+61392)*a(n-14)+(-186*n^2+8310*n-80328)*a (n-15)-12*(n-12)*(2*n-25)*a(n-16)-3*(n-13)*(n-16)*a(n-17)+2*(n-12)*(n-11)*a(n-\ 18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a( 5) = 41, a(6) = 122, a(7) = 365, a(8) = 1095, a(9) = 3291, a(10) = 9906, a(11) = 29860, a(12) = 90139, a(13) = 272524, a(14) = 825325, a(15) = 2504107, a(16) = 7613578, a(17) = 23203628, a(18) = 70909160, a(19) = 217372163}, [1, 2, 5, 14 , 41, 122, 365, 1095, 3291, 9906, 29860, 90139, 272524, 825325, 2504107, 7613578, 23203628, 70909160, 217372163, 668754241, 2065990279, 6412988506, 20015541693, 62861302497, 198823424358, 633861263635, 2038637069341, 6620131719421, 21722119991826, 72064252939965, 241835031802392, 821128315184495 , 2821038012962747, 9804570963531065, 34458388420739228, 122392923125756051, 439038556597805780, 1589227678968304154, 5800166861861976317, 21325460781204971414, 78923259944577432331, 293783537781899745418, 1099160395664607643726, 4130781935363239506466, 15584724155150098183759, 58999764024825733909597, 224028267517975140986489, 852902834733413952653981, 3254663210995205894100008, 12445367150468933527552666], 82681860941127265345385\ 3572123358653351363324179211661584520195261606492397346337561330194658956726734\ 5352823660980023545436328516920701430105196818694977190777381635475830785197114\ 3960079768902999245860341876316906160608482055915005059918404294762938072950002\ 4502456581739229469868682066455209293570247977196448933786196377531494518254662\ 5062945030034296470440448085509385344769430670249093611998893424335921803231817\ 0466839006794196624921565711054293947221029574386045437822691580052551020281015\ 8145978473222820117665593077682824391712255860797157679036895658396031828675052\ 9984984988425002967] ---------------------------- (A,B)= , {}, {1, 2, 3, 4} [P^2*x^9+2*P^2*x^8+3*P^2*x^7+4*P^2*x^6+5*P^2*x^5+3*P*x^4-P^2*x^2+2*P*x^3-2*P^2* x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^5+x^4+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n -14)*(n-5)*a(n-1)+(-166*n^2+1288*n-1800)*a(n-2)+(194*n^2-1868*n+3612)*a(n-3)+( 48*n^2-390*n+708)*a(n-4)+(-98*n^2+1004*n-2412)*a(n-5)+(109*n^2-205*n-2250)*a(n-\ 6)+(-389*n^2+4133*n-10134)*a(n-7)+(-98*n^2+734*n-840)*a(n-8)+(88*n^2-1822*n+ 7788)*a(n-9)+(187*n^2-3391*n+14214)*a(n-10)+(216*n^2-3996*n+17616)*a(n-11)+(210 *n^2-3360*n+13668)*a(n-12)+(108*n^2-1890*n+8340)*a(n-13)+(45*n^2-855*n+4074)*a( n-14)+6*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a( 5) = 16, a(6) = 32, a(7) = 65, a(8) = 134, a(9) = 282, a(10) = 611, a(11) = 1378, a(12) = 3275, a(13) = 8292, a(14) = 22500, a(15) = 65341}, [1, 2, 4, 8, 16, 32, 65, 134, 282, 611, 1378, 3275, 8292, 22500, 65341, 201455, 651845, 2187847, 7543119, 26519421, 94583633, 341017117, 1239952405, 4539294348, 16711823254, 61822555131, 229659244691, 856292494810, 3203253362237, 12018532851992, 45215273264731, 170526589842616, 644592874641260, 2441683784318490, 9266951249132693, 35234519819758140, 134193243325649907, 511889180011863886, 1955514826230041651, 7480782788919437282, 28654853622141967629, 109896061247727156490, 421957940885499204655, 1621929868176638103697, 6240879457719243518243, 24037385459904596184298, 92669115301506445934079, 357576839677313940244819, 1380930954470929447332642, 5337350165136344044263246], 454778745534343144916429302152957167998078785741672\ 6289721143592384478763584230257078555225221323543110507003329223908588723410602\ 4516780130021090760199162033273140936877054964788035196407868201809365889940581\ 7261963243830412793875243076457555248482041999731332538957226354154229918424041\ 0604055188887897391453920307305051575432401326930717702098056967381235887357566\ 8937787857214247493467781058949505865196297342788543686775235300315934074546841\ 7149996695629009324505926245355380447256395042217772631332683220236056807484352\ 0582720834201135105702239537881400240637784022983429652119726023574103] ---------------------------- (A,B)= , {}, {1, 2, 3, 5} [P^2*x^9+2*P^2*x^8+3*P^2*x^7-3*P^2*x^5+2*P*x^6-3*P^2*x^4+3*P*x^5+2*P*x^4+7*P^2* x^2-2*P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x ^4+x^3-x^2)*C-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(561*n^2-4713* n+6912)*a(n-2)+(-1976*n^2+19834*n-40368)*a(n-3)+(3792*n^2-44442*n+114024)*a(n-4 )+(-3546*n^2+48336*n-150048)*a(n-5)+(631*n^2-11231*n+44400)*a(n-6)+(909*n^2-\ 16053*n+66648)*a(n-7)+(349*n^2-3605*n+5688)*a(n-8)+(-334*n^2+10232*n-61176)*a(n -9)+(-790*n^2+10556*n-28848)*a(n-10)+(185*n^2-4543*n+26064)*a(n-11)+8*(5*n-39)* (5*n-82)*a(n-12)+(221*n^2-3097*n+8880)*a(n-13)+(-44*n^2+1246*n-8376)*a(n-14)-4* (n-8)*(8*n-99)*a(n-15)+(-2*n^2+4*n+288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 147, a(9) = 320, a(10) = 715, a(11) = 1649, a(12) = 3952, a(13) = 9908, a(14) = 26122, a(15) = 72596, a(16) = 212402, a(17) = 651272}, [1, 2, 4, 8, 16, 33, 69, 147, 320, 715, 1649, 3952, 9908, 26122, 72596, 212402, 651272, 2078951, 6859036 , 23232680, 80333881, 282309044, 1004858284, 3613590744, 13104156806, 47852311735, 175774734974, 648951077410, 2406514270958, 8959027839046, 33469234042259, 125426961337087, 471376736511169, 1776103398291410, 6708060583160237, 25390560996288989, 96299088968958499, 365917290880149680, 1392829275594702133, 5310266795334291407, 20276487001682352175, 77532867201196924355, 296864607110700975502, 1138089729695437475333, 4368266291211731624260, 16785251831578212368121, 64566423757754459876209, 248611806066176361774471, 958188149452005158929549, 3696352842715421608164240], 2923602080902148548274913472677649165197656565726441855759556015671657967336276\ 5688745801985260628438117447344582469031799376866357701936053501185371119262727\ 9332494365773005298665490162069622384331666593686473939012151157567231561873132\ 8427900395076940802608521802992091287326900416963931357031048762515673159040289\ 7390241287990686660928289967708438791798769473394859864624231788840141467004283\ 3338186384212579452256325117847804630926264531049388746802721499838555942260765\ 4755963359014984051380481716512095690173760872460161045507346857900480857713664\ 734199993035006253050258982818437872483667] ---------------------------- (A,B)= , {}, {1, 2, 4, 5} [P^2*x^9+4*P^2*x^8+3*P^2*x^7-4*P^2*x^6+2*P*x^7-9*P^2*x^5+6*P*x^6-P^2*x^4+5*P*x^ 5+9*P^2*x^3-4*P*x^4+x^5+P^2*x^2-12*P*x^3+2*x^4-4*P^2*x+2*P*x^2+3*x^3+P^2+6*P*x-\ 2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^5+x^4-x^3)*C+x^4+x^3-x^2-2*x+1), {5*n*(n-\ 5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(408*n^2-3486*n+5100)*a(n-2)+(-935*n^2+9775* n-19968)*a(n-3)+(246*n^2-4356*n+12444)*a(n-4)+(2382*n^2-29112*n+84636)*a(n-5)+( -2309*n^2+35599*n-127668)*a(n-6)+(-2772*n^2+37890*n-128316)*a(n-7)+(3064*n^2-\ 55256*n+241032)*a(n-8)+(2752*n^2-41774*n+156348)*a(n-9)+(-1638*n^2+37494*n-\ 204096)*a(n-10)+(-2245*n^2+37823*n-154908)*a(n-11)+(140*n^2-9028*n+80040)*a(n-\ 12)+(916*n^2-17684*n+83112)*a(n-13)+(80*n^2+1400*n-29040)*a(n-14)+(-154*n^2+ 4466*n-32256)*a(n-15)+(76*n^2-2372*n+18336)*a(n-16)+(106*n^2-3194*n+24048)*a(n-\ 17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5 ) = 17, a(6) = 37, a(7) = 82, a(8) = 185, a(9) = 424, a(10) = 988, a(11) = 2346 , a(12) = 5696, a(13) = 14205, a(14) = 36573, a(15) = 97699, a(16) = 271842, a( 17) = 789306, a(18) = 2389891}, [1, 2, 4, 8, 17, 37, 82, 185, 424, 988, 2346, 5696, 14205, 36573, 97699, 271842, 789306, 2389891, 7522796, 24501659, 82124111 , 281774710, 985050732, 3495163321, 12549024839, 45485580954, 166146629622, 610778094607, 2257402509293, 8381659505933, 31245184554391, 116885236506634, 438623220708457, 1650597400318512, 6227208792418950, 23547852354057435, 89234245781007240, 338814544253774136, 1288782450630691486, 4910531553684053147 , 18739548942545759097, 71618812073183043040, 274089567034058198157, 1050314088797968321770, 4029715385489129096514, 15478474431124659298952, 59518665663920751259768, 229099625551964847926712, 882711221158165718983629, 3404197073455789201686862], 266813221635398947973789867024101768691061973128791\ 8049040594110671295532786383273592513082178574213878813731903906186101811575992\ 5844150145479084207855209574824758048874197760909328905582819827428451657496342\ 9435078927275354921066844658760594261604851848747062370684267347190770182635732\ 3489740838778449575179454619700673978010717665764088597260613583126444287190816\ 5623958755822546862797328288219184207594918001280073919258990081850352855391244\ 6969774563390631409597646333697741849232009478864148333400864822589259502913967\ 4893782529207991228611510651391904229814881799958924115933196334731192] ---------------------------- (A,B)= , {}, {1, 3, 4, 5} [P^2*x^9+2*P*x^8-3*P^2*x^6+2*P*x^7-5*P^2*x^5+2*P*x^6+x^7+6*P^2*x^4-P*x^5+2*x^6+ 3*P^2*x^3-12*P*x^4+3*x^5+2*P^2*x^2-2*P*x^3+4*x^4-4*P^2*x-x^3+P^2+6*P*x-x^2-2*P-\ 2*x+1, (-C*x^4-x^3-x^2-x+1)/((x^5-x^4)*C+x^4-x^2-2*x+1), {5*n*(n-5)*a(n)+(-74*n ^2+502*n-408)*a(n-1)+(416*n^2-3544*n+5184)*a(n-2)+(-1067*n^2+10945*n-22272)*a(n -3)+(1092*n^2-13212*n+34128)*a(n-4)+(-179*n^2+1879*n-5568)*a(n-5)+(953*n^2-9643 *n+25704)*a(n-6)+(-2724*n^2+38064*n-133008)*a(n-7)+(653*n^2-11383*n+46848)*a(n-\ 8)+(1033*n^2-16139*n+64368)*a(n-9)+36*(n-10)*(27*n-337)*a(n-10)+(-635*n^2+17851 *n-118464)*a(n-11)+(-578*n^2+9664*n-37560)*a(n-12)+(135*n^2-4539*n+37440)*a(n-\ 13)+(219*n^2-7647*n+65256)*a(n-14)+(-62*n^2+3742*n-40032)*a(n-15)-60*(2*n-31)*( n-18)*a(n-16)-3*(n-13)*(n-16)*a(n-17)+2*(n-12)*(n-11)*a(n-18)+20*(2*n-31)*(n-18 )*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a( 7) = 120, a(8) = 290, a(9) = 705, a(10) = 1725, a(11) = 4253, a(12) = 10585, a( 13) = 26659, a(14) = 68161, a(15) = 177605, a(16) = 473727, a(17) = 1299441, a( 18) = 3680886, a(19) = 10799808}, [1, 2, 4, 9, 21, 50, 120, 290, 705, 1725, 4253, 10585, 26659, 68161, 177605, 473727, 1299441, 3680886, 10799808, 32859470 , 103584670, 337384397, 1130870372, 3883304657, 13601302910, 48401007567, 174426550374, 634938718573, 2329926821964, 8605601145361, 31955593443173, 119195316680991, 446301356325085, 1676603205449662, 6316702200282965, 23859933267365213, 90334555378838236, 342729456828970283, 1302818148461732545, 4961175821622335030, 18923287359334229996, 72288571268933645817, 276541052673126381741, 1059319976344503527171, 4062908207419160335737, 15601174963337304694135, 59973465774042369315917, 230789566760098780778012, 889005102426789134490135, 3427687526356574711410197], 2668726220797119175346136\ 9679313773581053043089686171046818356060345938144890680493274682959272470676723\ 5241845032748506847092171644232631540714914118156699475120043714954799095365895\ 2574621748574991825032121911000639653395755263845732979827778604171437682242591\ 8827737556852035148626070426870867157530761387807796867448913344475506909796414\ 3642433449499725797495410845159998041506375672087454264094272137569961461057532\ 7882766165980781470219345318854365782284419182414627284564157852375436244583723\ 8419473349706691972893516944236222455364114276578429315347567130084836978973683\ 36866231836648052] ---------------------------- (A,B)= , {}, {2, 3, 4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9+3*P^2*x^7-4*P*x^8+x^9+4*P^2*x^6-6*P*x^7+2*x^8+8*P^2* x^5-8*P*x^6+3*x^7+2*P^2*x^4-13*P*x^5+4*x^6+2*P^2*x^3-2*P*x^4+5*x^5+2*P^2*x^2-2* P*x^3-4*P^2*x+P^2+6*P*x-x^2-2*P-2*x+1, (C*x^5+x^4+x^3+x^2+x-1)/(C*x^5+x^4+x^3+x ^2+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-416*n^2+3544*n-5184)*a( n-2)+(1072*n^2-10970*n+22272)*a(n-3)+(-1121*n^2+13429*n-34176)*a(n-4)+(18*n^2-\ 522*n+1368)*a(n-5)+(607*n^2-7301*n+22044)*a(n-6)+(-959*n^2+9967*n-23400)*a(n-7) +(1340*n^2-20944*n+82488)*a(n-8)+(359*n^2-4711*n+12072)*a(n-9)+(-96*n^2+4710*n-\ 38760)*a(n-10)+(-115*n^2+5255*n-44544)*a(n-11)+(-498*n^2+15876*n-118536)*a(n-12 )+(-100*n^2-214*n+23172)*a(n-13)+(198*n^2-8550*n+82104)*a(n-14)+(481*n^2-17183* n+150084)*a(n-15)+(666*n^2-23850*n+211272)*a(n-16)+2*(n-17)*(217*n-3768)*a(n-17 )+12*(25*n-416)*(n-18)*a(n-18)+18*(9*n-148)*(n-19)*a(n-19)+28*(n-20)*(2*n-33)*a (n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 89, a(7) = 233, a(8) = 611, a(9) = 1605, a(10) = 4224, a(11) = 11141, a(12) = 29463, a( 13) = 78173, a(14) = 208271, a(15) = 557792, a(16) = 1503856, a(17) = 4088977, a(18) = 11237370, a(19) = 31297375, a(20) = 88603528}, [1, 2, 5, 13, 34, 89, 233, 611, 1605, 4224, 11141, 29463, 78173, 208271, 557792, 1503856, 4088977, 11237370, 31297375, 88603528, 255788875, 755341293, 2287540115, 7117170853, 22761194392, 74767612512, 251799377800, 867090562178, 3043811760513, 10858648754042, 39255270404892, 143451061600809, 528801471074549, 1963077323643438, 7329311829935586, 27492979935158057, 103530014295780621, 391136640947213619, 1481838535231537105, 5627579546978685993, 21417241929097295523, 81663001730219716771, 311907177397335751989, 1193154765803529567903, 4570713639382664546916, 17532352137422402295828, 67332565442249954321648, 258883352446171022745882, 996429308647045988336912, 3839062021173636909077000], 292730264114707272024126196470607046613654091126032\ 1495614768777619706544231075073253262874828116615249591701672866324764056479235\ 0431195959925856211560296317889579306509526082195913037143610535977269766917276\ 2065145115710606645202978321942217122463711306861349138692187698531837246953189\ 7480660214460558446216617066159281602419160760376879653458422897528341445393684\ 8363620548128755103999765722568201667145841476724122734404350083450163177234146\ 2451740218315825678467218607801560582943540336446078565647478917461724917915294\ 1135727444226613096423228692133301214632701509699053820604717612577358] ---------------------------- (A,B)= , {}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+4*P^2*x^8+5*P^2*x^7+6*P^2*x^6+P^2*x^5+P^2*x^4+3* P*x^5+2*P*x^4-P^2*x^2+2*P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^6+x^5+x^ 4+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-206*n^2+1804*n-2604 )*a(n-2)+(240*n^2-2550*n+5112)*a(n-3)+(57*n^2-555*n+1140)*a(n-4)+(-55*n^2+905*n -2904)*a(n-5)+(-181*n^2+2201*n-6240)*a(n-6)+(120*n^2-186*n-3996)*a(n-7)+(-462*n ^2+5190*n-12732)*a(n-8)+(-81*n^2+153*n+2844)*a(n-9)+(177*n^2-3801*n+17652)*a(n-\ 10)+(330*n^2-6492*n+29688)*a(n-11)+(396*n^2-7848*n+37200)*a(n-12)+(391*n^2-7967 *n+39528)*a(n-13)+(360*n^2-6660*n+31368)*a(n-14)+(210*n^2-4200*n+21228)*a(n-15) +(108*n^2-2322*n+12552)*a(n-16)+(45*n^2-1035*n+5964)*a(n-17)+6*(n-12)*(2*n-25)* a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 32, a(7) = 64, a(8) = 129, a(9) = 262, a(10) = 538, a(11) = 1123, a(12) = 2402, a(13) = 5323, a(14) = 12388, a(15) = 30691, a(16) = 81715, a(17) = 234159, a(18) = 717047}, [1, 2, 4, 8, 16, 32, 64, 129, 262, 538, 1123, 2402, 5323, 12388, 30691 , 81715, 234159, 717047, 2317367, 7798557, 27016084, 95521996, 342683947, 1242490557, 4541368622, 16704667178, 61765704124, 229385437584, 855141808313, 3198677751940, 12000793545325, 45147315852711, 170267657524171, 643608351505397 , 2437941825805439, 9252721830691652, 35180359443385690, 133986861049626780, 511101780376671613, 1952506967758191430, 7469278723971421367, 28610802009151453231, 109727184384667360400, 421309819656682605368, 1619439865653501861160, 6231303529890607202332, 24000523342350803071037, 92527085429486836091848, 357029115778524917790586, 1378816931184201410131862], 1136992118786597565430934874629449463599945271513591513004317407835801384365535\ 5297656850818259338991594556138363306165741144585863136165926915274828009631079\ 8394321803220258519548589693870272961789572390495495576775112800186738844103545\ 6356165330117790581503644318082398025440688403040660472236318120865902257144500\ 5090233176221382661964087022345288970199519216332080990694450851908603198711063\ 9109742496459847877736636756021772146980389083458662651400192166904803529064570\ 0525668489883208346261493018628241174505745895436511744486559693578641392492311\ 031640053539714438157490020440052530264510] ---------------------------- (A,B)= , {1}, {} [P^2*x^2+2*P^2*x-2*P*x-P+1, -1/(C*x-x-1), {2*n*(n+1)*a(n)-9*(n-1)*n*a(n-1)+(3*n ^2-24*n+24)*a(n-2)+2*(2*n-3)*(n-2)*a(n-3) = 0, a(1) = 0, a(2) = 1, a(3) = 2}, [ 0, 1, 2, 6, 18, 57, 186, 622, 2120, 7338, 25724, 91144, 325878, 1174281, 4260282, 15548694, 57048048, 210295326, 778483932, 2892818244, 10786724388, 40347919626, 151355847012, 569274150156, 2146336125648, 8110508473252, 30711521221376, 116518215264492, 442862000693438, 1686062250699433, 6429286894263738, 24552388991392230, 93891870710425440, 359526085719652662, 1378379704593824300, 5290709340633314596, 20330047491994213884, 78201907647506243758, 301111732041234778316, 1160507655117628665252, 4476705468260134734384, 17283862221822154612428, 66784808491631598524136, 258257655550682547281952, 999430099263282762985884, 3870449306134945313530218, 14999162225528050786449636, 58164368008320657345771132, 225693938585648240354418720, 876283859585256206634677868], 90922863474084613811\ 9006645864490233245497787524729331138771392733502265170879059145479408003158199\ 1630628884894078589863816755856423465455809978902215379119222272899206264366066\ 1738219860229264584075049484558312893661402385456151254705137026134443810261770\ 3266589791137987227667649453725086178657723640682304936676145618817701399459040\ 7524775514493010776149916793192693983980293384686624135032669547056492248204325\ 3396628173067518855757419284616741919081257009771792519904344920280916114890472\ 4659647802283493725663812059143218537757870996540129074574272503589211097419555\ 473065190163315088837952] ---------------------------- (A,B)= , {1}, {1} [P^2*x^3-P^2*x+P^2+P*x-2*P+1, -1/(C*x^2-1), {-(n-1)*n*a(n)+(n-1)*(11*n-24)*a(n-\ 1)-(35*n-68)*(n-3)*a(n-2)+(28*n^2-172*n+252)*a(n-3)+(6*n^2-48)*a(n-4)+(-25*n^2+ 139*n-180)*a(n-5)+2*(n-4)*(2*n-9)*a(n-6) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4 ) = 3, a(5) = 7, a(6) = 20}, [0, 1, 1, 3, 7, 20, 59, 184, 593, 1964, 6642, 22845, 79667, 281037, 1001092, 3595865, 13009673, 47366251, 173415176, 638044203, 2357941142, 8748646386, 32576869203, 121701491701, 456012458965, 1713339737086, 6453584646837, 24364925260024, 92185136438942, 349479503542465, 1327356794933809, 5050158160587171, 19245314696271615, 73452022778386004, 280737995030041943, 1074436722483501092, 4117270194612416350, 15796330585442827899, 60672698187581069171, 233289290779975354221, 897918331924508326712, 3459372676013419366361, 13340001976871342146160, 51486513556851277778688, 198880620085923210073027, 768840737702048561014907, 2974472078222445356489939, 11515920169669695536463232, 44615853189158693861877815, 172969279353105613983379776], 167597830813578813555\ 5412396405303632928466859340501442364100837069866375756143830236932569333704797\ 9015224806115497203295903269871718920985319047714664531077680981828712839160760\ 0702405727245350713163761936957230946887613098777239190930272387763306487139398\ 1999037109914838987914425332911519447650360295622958355268349302968204433902311\ 8764602101042117356401358728921086755194576541917676873038090997926907658812227\ 4380394541948954208334944922113643192818049960628445612375357409687311691348023\ 0599918574454325396127287685991259538575058218293841337429219756301763767131838\ 53184855225615857545571] ---------------------------- (A,B)= , {1}, {2} [P^2*x^5+4*P^2*x^4+5*P^2*x^3-2*P*x^4-P^2*x^2-6*P*x^3-3*P^2*x-P*x^2+x^3+P^2+6*P* x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/((x^3+x^2)*C+x^2+x-1), {-2*n*(n-2)*a(n)+3*(n-1)* (9*n-26)*a(n-1)-(n-2)*(131*n-495)*a(n-2)+(255*n^2-2061*n+3894)*a(n-3)+(-81*n^2+ 1509*n-4782)*a(n-4)+(-274*n^2+1856*n-2184)*a(n-5)+(135*n^2-2067*n+6810)*a(n-6)+ (52*n^2+328*n-4680)*a(n-7)+(22*n^2+10*n-900)*a(n-8)+(140*n^2-2548*n+11544)*a(n-\ 9)+(106*n^2-1922*n+8700)*a(n-10)+12*(2*n-17)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 98, a(8) = 284, a(9) = 850, a(10) = 2620, a(11) = 8293}, [0, 1, 2, 5, 13, 35, 98, 284, 850, 2620, 8293 , 26877, 88936, 299676, 1025799, 3559492, 12497714, 44330844, 158647584, 572166049, 2077579863, 7589109818, 27869278312, 102828000679, 381007809398, 1417130631828, 5289097625745, 19802149582497, 74350387047977, 279891843176997, 1056189599282035, 3994453226478852, 15137872867151505, 57477842110994136, 218628547704482714, 832976248795730420, 3178566180991349186, 12146768306843537621, 46481796210474838449, 178099596815045645008, 683233366935639659604, 2624050448891200732295, 10088939818661762848852, 38829741478365531696370, 149591308856649193952303, 576833012997589208380935, 2226261950327047601573595, 8599372268040610226959593, 33243347424089143323088437, 128609955185016843047310376], 114139753627770432250\ 1846165018574658093008746969633152530782442531801600158366777839508577435630292\ 0695019644594097869985374901281581095971120517997478710630376820031294105661162\ 3787898061362972514686555699347011527264241585190397945112914488514772901166886\ 4419662943666594000705358359171728770903461342085988965538781117252578486118358\ 4575721126296298787082848035666996029467879715796943275620848149565815434485748\ 4985162528143656533505930304293260936392140452610058349350809093008510891263706\ 6115811618562866977262619596023882801081946332376920335459788381392885759470815\ 17266905083210887168687] ---------------------------- (A,B)= , {1}, {3} [P^2*x^4+6*P^2*x^3+4*P^2*x^2-7*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-\ 5*x+1, (C*x^2+2*x-1)/(C*x^2+x^2+2*x-1), {3*n*(n-3)*a(n)-3*(n-1)*(17*n-64)*a(n-1 )+(343*n^2-2241*n+3116)*a(n-2)+(-1131*n^2+9483*n-18348)*a(n-3)+(1754*n^2-18546* n+46480)*a(n-4)+(-667*n^2+10701*n-37592)*a(n-5)+(-1037*n^2+11055*n-28132)*a(n-6 )+(540*n^2-8268*n+30864)*a(n-7)+(281*n^2-4287*n+16432)*a(n-8)+14*(n-8)*(2*n-17) *a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 17, a(6) = 50, a(7) = 149, a(8) = 451, a(9) = 1384}, [0, 1, 2, 6, 17, 50, 149, 451, 1384, 4304, 13558, 43249, 139667, 456483, 1509481, 5048234, 17067581, 58306040, 201155836, 700458970, 2460412475, 8712624139, 31084824329, 111674811689, 403764870840, 1468386100971, 5368796940682, 19726080410121, 72803079212663, 269797259749920, 1003582253413544, 3745925624132301, 14025954685946514, 52669766655064486, 198310514572555933, 748505917379758534, 2831579104404478618, 10734283040562689634, 40772038261251727823, 155144876986061703829, 591349758862142733795, 2257536636545400498487, 8631068218830785406848, 33044078160089899042513, 126673466938629705994476, 486191506015163264821993, 1868221604347012672130835, 7186557237475538859444874, 27673195121037282387028316, 106664554234720190589801401], 829180343077821504218\ 0054202623311370559398563950076636906308678686442945671415102044235648359198239\ 2506095268341194736122776361002632708982676256260660151202765215411512117538125\ 7743778561575650020387033172251350644924415818435265615834474009486479311771254\ 5694884090386947053801656269971403210604757217987076162046752065052301009845161\ 5246207723580498252306010423188180223999100491548255913904341605963714284469971\ 2930466565627227839434812593655464060401695123174268944026790434409595803663481\ 1296841202455227482658635738541152684025152944541645340987912379482450855538658\ 8755877330840320361029] ---------------------------- (A,B)= , {1}, {4} [P^2*x^7+4*P^2*x^6-2*P*x^6-12*P^2*x^4-4*P*x^5+P^2*x^3+13*P*x^4+x^5+13*P^2*x^2+8 *P*x^3-7*P^2*x-28*P*x^2-9*x^3+P^2+14*P*x+15*x^2-2*P-7*x+1, ((x^3-x^2)*C+x^2-3*x +1)/((x^4+x^3-x^2)*C+x^3-3*x+1), {-4*n*(n-4)*a(n)+(n-1)*(83*n-390)*a(n-1)+(-719 *n^2+5321*n-7782)*a(n-2)+(3333*n^2-30447*n+61602)*a(n-3)+(-8699*n^2+95477*n-\ 244374)*a(n-4)+(11767*n^2-155389*n+488142)*a(n-5)+(-4337*n^2+84371*n-359826)*a( n-6)+(-7347*n^2+86169*n-231870)*a(n-7)+(6768*n^2-107844*n+417312)*a(n-8)+(1190* n^2-7334*n-18732)*a(n-9)+(-1942*n^2+29266*n-100260)*a(n-10)+(-260*n^2+2672*n-\ 3648)*a(n-11)+(-35*n^2+2729*n-26574)*a(n-12)+10*(n-10)*(5*n-51)*a(n-13)+(98*n^2 -2582*n+16980)*a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 18, a(6) = 56, a(7) = 177, a(8) = 566, a(9) = 1826, a(10) = 5935, a(11) = 19419, a(12) = 63931, a(13) = 211713, a(14) = 705110, a(15) = 2361524}, [0, 1, 2, 6, 18, 56, 177, 566, 1826, 5935, 19419, 63931, 211713, 705110, 2361524, 7952917, 26930454, 91692810, 313902796, 1080480284, 3739304742 , 13010772024, 45512759757, 160049302149, 565756939508, 2010104596238, 7177440639385, 25752836631693, 92836949123976, 336191818604393, 1222783118671961, 4466112654894502, 16377487697005922, 60286521499478894, 222723481073409009, 825662483998050904, 3070782205480387342, 11455826819982380502, 42860606336221297846, 160794425217486741666, 604775271737379925828, 2280134120745455237055, 8616018234930503557235, 32626673187939633684134, 123794873191695617954698, 470590832397100776946079, 1792032555318626251728427, 6835400438582019798841524, 26112883409367773181553459, 99903030740545296992518871], 6311919991860601663136\ 9091163740779773815845534385166955702553888619763309660599904814179814539251951\ 9697561482613267811403354184040295264020172042680275491255063122587510355804007\ 9947403212226099856013433595008159609313545147970668081005798192030564929919691\ 7397324132836281856230596473261695578008382396648862324932049660746824448605252\ 3290439020856321885462063995128865121241493824787727913093980505859702888458767\ 9750016994738179024129563690599631066331345325669375039195959242207564836271404\ 7004007937188762983822342114957183961375141456464983936601403346323374244047958\ 128475688301674608209] ---------------------------- (A,B)= , {1}, {5} [P^2*x^7+10*P^2*x^6+16*P^2*x^5-4*P*x^6-18*P^2*x^4-25*P*x^5-20*P^2*x^3+8*P*x^4+4 *x^5+26*P^2*x^2+54*P*x^3+11*x^4-9*P^2*x-54*P*x^2-34*x^3+P^2+18*P*x+28*x^2-2*P-9 *x+1, ((2*x^3-x^2)*C+3*x^2-4*x+1)/((x^4+2*x^3-x^2)*C+2*x^3+2*x^2-4*x+1), {-5*n* (n-5)*a(n)+3*(n-1)*(41*n-232)*a(n-1)+(-1307*n^2+10873*n-16548)*a(n-2)+(7807*n^2 -78035*n+164436)*a(n-3)+(-28450*n^2+333320*n-883008)*a(n-4)+(63506*n^2-860554*n +2737344)*a(n-5)+(-79413*n^2+1251027*n-4706460)*a(n-6)+(33604*n^2-698828*n+ 3340332)*a(n-7)+(37106*n^2-517420*n+1671120)*a(n-8)+(-42575*n^2+798625*n-\ 3678348)*a(n-9)+(-1454*n^2-30512*n+422112)*a(n-10)+(12070*n^2-244394*n+1228992) *a(n-11)+(190*n^2+5866*n-91368)*a(n-12)+(-741*n^2+17775*n-105732)*a(n-13)+(48*n ^2-1650*n+13368)*a(n-14)+8*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3 ) = 2, a(4) = 6, a(5) = 18, a(6) = 57, a(7) = 185, a(8) = 611, a(9) = 2041, a( 10) = 6873, a(11) = 23285, a(12) = 79269, a(13) = 270955, a(14) = 929494, a(15) = 3198999}, [0, 1, 2, 6, 18, 57, 185, 611, 2041, 6873, 23285, 79269, 270955, 929494, 3198999, 11043554, 38235841, 132757794, 462223519, 1613734380, 5649277441, 19830463436, 69799786522, 246355045637, 871889743945, 3094296695276 , 11012106328304, 39300160645413, 140650181124145, 504793238418927, 1816843510152254, 6557732701701101, 23736746700575535, 86162149896518561, 313641520500527404, 1144888817611737393, 4190771948504722709, 15381939333925890715, 56610523597814956816, 208897048853842711163, 772847994951216056686, 2866538981841166177940, 10658520536355550100013, 39726733397657323970816, 148417695594373242679061, 555743282521441547206911, 2085529412730629232432124, 7842944345580332314088284, 29554892550851351596870224, 111592138448142152724318401], 497851379781251344268\ 1321217968253281728383676694769450936200256634101364657859298643710703593443338\ 6823279040641818404964529891705137238781985539913699957190185307881731844974520\ 1760907337206399932772832560411295649958386928061301150084789951192841616051982\ 8397429245051450379672684569933263549140029264788592226087820667169081311293576\ 3218098569464020940811941744298813583063433296864878969541209257865452803444434\ 6527105820516026198327435578213253254015029703785300104911005266355406468733453\ 9019723240320233392445703298130200030144462219552535623711829667356795046983130\ 8960875814747366220854] ---------------------------- (A,B)= , {1}, {1, 2} [P^2*x^5+2*P^2*x^4-3*P^2*x^2+3*P*x^2+P^2-2*P+1, -1/(C*x^3+x^2-1), {-2*n*(n-2)*a (n)+6*(n-1)*(3*n-10)*a(n-1)-2*(n-2)*(17*n-90)*a(n-2)+(-57*n^2+267*n-270)*a(n-3) +(128*n^2-922*n+1548)*a(n-4)+(43*n^2-251*n+390)*a(n-5)+(-98*n^2+892*n-2064)*a(n -6)+(-46*n^2+326*n-540)*a(n-7)+3*(n-6)*(7*n-47)*a(n-8)+6*(n-6)*(2*n-13)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 23, a(8 ) = 64, a(9) = 191}, [0, 1, 1, 2, 4, 9, 23, 64, 191, 599, 1948, 6508, 22194, 76921, 270099, 958699, 3433841, 12394906, 45042074, 164642011, 604938541, 2232965570, 8276456989, 30790837634, 114937415514, 430361256871, 1615930514318, 6083172039808, 22954478946444, 86807407106172, 328949166304185, 1248882163375950, 4749841871072163, 18094713236195971, 69038884750550145, 263793556627774938, 1009312130495860923, 3866726896447161971, 14831562294610740000, 56954359015957128256, 218946131853219424616, 842545682854457000293, 3245435586350481740697, 12512815359874744138387, 48285890048233493203843, 186487887787147450650659, 720824372882141752217882, 2788310451132590455188226, 10793717234723256916153893, 41812443444966289857489007], 39127130361586173185096383771383755333162248315468\ 6158231309304911720473227516143393514601614909147333421991728796334664457387272\ 4477108108490662812418334736856586843709683084008320340869441608374880662673099\ 5891475522058302945188671740159504109872057574653519353656565004049735189105207\ 4362378552177978613987885362202780128165390322303570870533580769168570568014992\ 3534758306240094876196172049724395557982812195469651963074016638111982825962397\ 7801509837092950318029284374493265074194305487940984562153934731606704228135284\ 536298433583613646967490229065591435496404754331818817511555823344431927] ---------------------------- (A,B)= , {1}, {1, 3} [P^2*x^4+4*P^2*x^3-5*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (C*x^ 2+x-1)/(C*x^2+x^2+x-1), {3*n*(n-3)*a(n)-(n-1)*(41*n-160)*a(n-1)+(207*n^2-1401*n +1980)*a(n-2)+(-451*n^2+3975*n-7940)*a(n-3)+(284*n^2-3684*n+10480)*a(n-4)+(375* n^2-2925*n+4800)*a(n-5)+(-469*n^2+5607*n-16340)*a(n-6)+(-54*n^2+378*n-240)*a(n-\ 7)+(99*n^2-1569*n+6240)*a(n-8)+10*(n-8)*(2*n-17)*a(n-9) = 0, a(1) = 0, a(2) = 1 , a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 37, a(8) = 98, a(9) = 270}, [ 0, 1, 1, 3, 6, 15, 37, 98, 270, 779, 2337, 7263, 23265, 76464, 256789, 878056, 3047947, 10714661, 38069815, 136497271, 493230012, 1794334815, 6566208736, 24153329309, 89255685675, 331190450906, 1233451440396, 4609082396503, 17275176101662, 64927885164648, 244647425383540, 923980441097829, 3497196823184601, 13263059384947299, 50393245004293950, 191801032156093815, 731189792517550758, 2791677380300259939, 10673720262179411869, 40864398970172392252, 156646101921420328606, 601185610122249779803, 2309850885953856158922, 8884230893482206878910, 34205222729674099322932, 131819508946989067512545, 508465231586169870523773, 1962990692539327700488721, 7584606673177600805346771, 29328468295774307256478996], 25479179081034066322305\ 1354590015648237454735861851120457318327267160091297862669962930677828860481323\ 4336475242719188484349332254807903727376044502650755822063826409746111657762652\ 9887812219682543086073013328103481991757040429841837170159164938272392091542464\ 4087281110798153552604821668816276525312520284447283831755732810148396082546613\ 9613873130167981267351125457923948660895700576625885871859797435866575798147332\ 5827798043905691526140925287307457994918431776680987602564437823801043907756529\ 6215201410121590709331940966041545884348063997230889745997757067831321653961695\ 76994255312191047352] ---------------------------- (A,B)= , {1}, {1, 4} [P^2*x^7+2*P^2*x^6-5*P^2*x^5-6*P^2*x^4+2*P*x^5+9*P^2*x^3+7*P*x^4+4*P^2*x^2-10*P *x^3-5*P^2*x-10*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^4-x^2) *C+x^3-x^2-2*x+1), {4*n*(n-4)*a(n)-3*(n-1)*(23*n-110)*a(n-1)+(473*n^2-3581*n+ 5286)*a(n-2)+(-1585*n^2+15007*n-30990)*a(n-3)+(2358*n^2-28176*n+76284)*a(n-4)+( 100*n^2+6326*n-37716)*a(n-5)+(-4378*n^2+51730*n-147336)*a(n-6)+(3076*n^2-47224* n+173904)*a(n-7)+(2276*n^2-28598*n+89472)*a(n-8)+(-2310*n^2+36318*n-142668)*a(n -9)+(-429*n^2+5373*n-14634)*a(n-10)+(528*n^2-9006*n+38316)*a(n-11)+4*(5*n+72)*( n-10)*a(n-12)+(-18*n^2+324*n-1392)*a(n-13)+4*(2*n-23)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 19, a(7) = 52, a(8) = 147, a(9) = 424, a(10) = 1248, a(11) = 3743, a(12) = 11433, a(13) = 35547, a(14) = 112440}, [0, 1, 1, 3, 7, 19, 52, 147, 424, 1248, 3743, 11433, 35547, 112440, 361614, 1181566, 3919139, 13183571, 44931002, 154980359, 540470314, 1903668281, 6765759641, 24241406328, 87489777071, 317827159830, 1161363575818, 4266090289078, 15745167357475, 58360313122191, 217151532945093, 810823672452257 , 3037178265410328, 11409669228754690, 42976160870431614, 162270392993510417, 614078887879792493, 2328668657825009554, 8847558373977105030, 33675339388164956623, 128386707211628419626, 490229846903801636073, 1874596479330251176201, 7178026427856714813756, 27520477796909662829396, 105639947931117737336459, 405968299885833139441843, 1561783181300365447131284, 6014356871286608982005638, 23183266213572543997142208], 17945503337857064045090\ 2199616845673349684783003586376938667301860999652884184113838013214345351941314\ 4930073207584172916385648958770090672729333297848593501980138382219401501242263\ 9924045529889650675774729334119495536225042837919237786433897360156131325710752\ 9265171078250409003849968526040957139371715266364138787358103447457664864340061\ 6359346929016176562712751216233113295672176368977496405047750111599823897246312\ 7522444114440839355845668943319790339694399689511894211313391593874076897459963\ 1251849474106564976431732171743757117547338912264732875101074976896175280145375\ 49670942348719776420] ---------------------------- (A,B)= , {1}, {1, 5} [P^2*x^7+8*P^2*x^6+P^2*x^5-2*P*x^6-19*P^2*x^4-7*P*x^5+3*P^2*x^3+20*P*x^4+x^5+13 *P^2*x^2+6*P*x^3-7*P^2*x-28*P*x^2-9*x^3+P^2+14*P*x+15*x^2-2*P-7*x+1, ((x^3-x^2) *C+x^2-3*x+1)/((x^4+x^3-x^2)*C+2*x^3-3*x+1), {-5*n*(n-5)*a(n)+15*(n-1)*(7*n-40) *a(n-1)+(-923*n^2+7783*n-11904)*a(n-2)+(4345*n^2-44279*n+94272)*a(n-3)+(-11425* n^2+138119*n-373656)*a(n-4)+(14739*n^2-214953*n+721752)*a(n-5)+(-1012*n^2+58622 *n-349224)*a(n-6)+(-20413*n^2+286061*n-960096)*a(n-7)+(17262*n^2-302574*n+ 1286088)*a(n-8)+(5662*n^2-71516*n+200088)*a(n-9)+(-10440*n^2+192588*n-886920)*a (n-10)+(250*n^2-11264*n+89040)*a(n-11)+(1818*n^2-38016*n+196104)*a(n-12)+(-16*n ^2+1124*n-10920)*a(n-13)+(30*n^2-924*n+6960)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 20, a(7) = 58, a( 8) = 175, a(9) = 537, a(10) = 1672, a(11) = 5263, a(12) = 16726, a(13) = 53620, a(14) = 173316, a(15) = 564690}, [0, 1, 1, 3, 7, 20, 58, 175, 537, 1672, 5263, 16726, 53620, 173316, 564690, 1854276, 6136078, 20461213, 68749657, 232744442, 793817129, 2727378927, 9438280646, 32891794743, 115409363752, 407617170378, 1448806018534, 5180766358134, 18632746860962, 67379495697554, 244913938494431, 894542645941317, 3282155743666452, 12093724679204068, 44738404960042822, 166112660783689016, 618892548486949400, 2313199457272794197, 8671575399606729858, 32597071446142416495, 122848551847307148922, 464081263766805477330, 1757026742425415687092, 6665867269124953739559, 25337744423772398393079, 96484230595535886043360, 368019294800064553078383, 1405930215208039556161971, 5378892443053295881400314, 20607175210857344364376663], 13353628830036637858826140208820621159417684700345\ 1063854422496226759596862316472796828643111467124874081412362241882669232165365\ 3082752459641548944502900958604178342775340633730275350794750053320547687235437\ 6189288837630064214930558041120575878989425131262403502925039311888232208792324\ 7618256305393301869369640922105144799485542235115930290541025123111134882814156\ 1899156203317518374051519618507891338472755520692430220301070521839745494545831\ 7963544142649755063548458276954211374100965923736716298909785571192863293135382\ 298383095609957525378225530812916062544869654355086416890084350896187717] ---------------------------- (A,B)= , {1}, {2, 3} [P^2*x^7+4*P^2*x^6+8*P^2*x^5-2*P*x^6+9*P^2*x^4-6*P*x^5+2*P^2*x^3-10*P*x^4+x^5-4 *P^2*x^2-5*P*x^3+2*x^4-2*P^2*x+6*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+ x^2+x-1)/((x^4+x^3)*C+x^3+2*x^2+x-1), {-3*n*(n-3)*a(n)+36*(n-1)*(n-4)*a(n-1)+(-\ 137*n^2+981*n-1420)*a(n-2)+(102*n^2-1218*n+2808)*a(n-3)+(371*n^2-3141*n+6376)*a (n-4)+(-340*n^2+4968*n-16088)*a(n-5)+(-712*n^2+7008*n-16016)*a(n-6)+(243*n^2-\ 5865*n+27720)*a(n-7)+(660*n^2-8820*n+27216)*a(n-8)+(93*n^2+2799*n-31332)*a(n-9) +(-25*n^2+2757*n-22340)*a(n-10)+(444*n^2-10200*n+59160)*a(n-11)+(720*n^2-17316* n+103800)*a(n-12)+(521*n^2-12597*n+76060)*a(n-13)+(210*n^2-5190*n+31920)*a(n-14 )+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 197, a(9) = 523, a(10) = 1426, a(11) = 4002, a(12) = 11579, a(13) = 34559, a(14) = 106344, a(15) = 336837}, [0, 1, 2, 5, 12, 30, 76, 197, 523, 1426, 4002, 11579, 34559, 106344, 336837, 1095490, 3647443, 12393726, 42848989, 150321625, 533851945, 1915489237, 6932530223, 25274525040, 92723429331, 342008107834, 1267418081254, 4716199106469, 17613648049310, 65996718398603, 248010185861190, 934482008499612, 3529589434569754, 13361061169018843, 50680915887301144, 192604942373556600, 733247357929555155, 2796024491510877929, 10678044452815524872, 40837624899104840964, 156390032465999095308, 599657038437377335983, 2302028138288998647160, 8847151082633559721933, 34037299739496653931659, 131081515295140369740931, 505289499281222479690832, 1949534976820780288456193, 7528262098345286094362554, 29094691148903361976557993], 24804208186403277558123584761129177697404756923647\ 6392901625547339427447524094819164487588468807716377484072034347566085611835677\ 0512888601016002289132168909257191541517364292751247198211427430386262491712071\ 8139247056499234263040506765988021115386756479386783635194779044414531265908009\ 1860676331211940706227888964143038357995974452714545698588685937408056851403938\ 2171106242859278149235120041342536682089509558578173857745962393372774168573789\ 4945820186760265801762491059009874555048156173105852781595416725641626971763443\ 561772728027772170065717206245203823588555748160538676614892557798332262] ---------------------------- (A,B)= , {1}, {2, 4} [P^2*x^7+2*P^2*x^6-2*P^2*x^5-2*P*x^6-4*P^2*x^4+5*P^2*x^3+7*P*x^4+x^5+5*P^2*x^2-\ 4*P*x^3-2*x^4-5*P^2*x-12*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x +1)/((x^4+x^3-x^2)*C-x^2-2*x+1), {-4*n*(n-4)*a(n)+3*(n-1)*(23*n-110)*a(n-1)+(-\ 479*n^2+3617*n-5334)*a(n-2)+(1681*n^2-15751*n+32346)*a(n-3)+(-2959*n^2+33853*n-\ 89214)*a(n-4)+(1717*n^2-26563*n+92682)*a(n-5)+(1885*n^2-19351*n+44706)*a(n-6)+( -2561*n^2+37751*n-135714)*a(n-7)+(-302*n^2-622*n+21516)*a(n-8)+(1178*n^2-15566* n+44868)*a(n-9)+(-14*n^2+854*n-3156)*a(n-10)+(-214*n^2+1822*n+3132)*a(n-11)+(-\ 63*n^2+1605*n-10662)*a(n-12)+(-46*n^2+1330*n-9276)*a(n-13)+(34*n^2-934*n+6372)* a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 34, a(7) = 91, a(8) = 247, a(9) = 681, a(10) = 1907, a(11) = 5428, a(12) = 15718, a(13) = 46347, a(14) = 139272, a(15) = 426748}, [0, 1, 2, 5, 13, 34, 91, 247, 681, 1907, 5428, 15718, 46347, 139272, 426748, 1333664, 4250293, 13805223, 45657894, 153569996, 524567797, 1816971727, 6372216142, 22594381313, 80890377809, 292049393406, 1062225837492, 3888453391320, 14314983819285, 52961886704291, 196808227540431, 734203612075922, 2748535781897750, 10321500309893955, 38869429344234135, 146751794447595742, 555354360854344149, 2106119673076493515, 8002901073843351912, 30464775194547038080, 116165431297310622612, 443642393864998142203, 1696761182778079219593, 6498289469027695599245, 24919035857957156665334, 95671812608986483752464, 367728400202965746278139, 1414924467907835514891553, 5449756952682875978671227, 21010470258968648438683836], 16380664478016022115622\ 5381819900554870578007806391437170045758035879842303141133156234953966202847270\ 9282803474264071220282921881876134628000154958005687820421438077234660294506006\ 9913473179387130432090392245714351898619797384237369488244003802791166462658245\ 1043969067972264802353077525463363049181435236892747275973690805638043062043296\ 9829338668342179676769062441898845405188400158436157644649879097601931131927399\ 8821691882718801021916503834911231856841681744210057625108880856563330770245105\ 3536932620640570471115180218870720441258004626592001781011771129627910537499898\ 18928149375919915022] ---------------------------- (A,B)= , {1}, {2, 5} [P^2*x^9+6*P^2*x^8+14*P^2*x^7-2*P*x^8+11*P^2*x^6-10*P*x^7-11*P^2*x^5-16*P*x^6+x ^7-19*P^2*x^4+5*P*x^5+4*x^6+4*P^2*x^3+30*P*x^4+3*x^5+13*P^2*x^2+2*P*x^3-10*x^4-\ 7*P^2*x-28*P*x^2-6*x^3+P^2+14*P*x+15*x^2-2*P-7*x+1, ((x^4+x^3-x^2)*C+x^3+x^2-3* x+1)/((x^5+2*x^4+x^3-x^2)*C+x^4+2*x^3-3*x+1), {-5*n*(n-5)*a(n)+15*(n-1)*(7*n-40 )*a(n-1)+(-923*n^2+7783*n-11904)*a(n-2)+(4336*n^2-44198*n+94080)*a(n-3)+(-11286 *n^2+136524*n-369000)*a(n-4)+(13962*n^2-203616*n+681168)*a(n-5)+(549*n^2+25689* n-196452)*a(n-6)+(-18919*n^2+297647*n-1136700)*a(n-7)+(6687*n^2-170643*n+937884 )*a(n-8)+(16917*n^2-278127*n+1107936)*a(n-9)+(-5059*n^2+147029*n-933828)*a(n-10 )+(-10045*n^2+179819*n-753924)*a(n-11)+(-232*n^2-30148*n+360516)*a(n-12)+(1768* n^2-29372*n+73728)*a(n-13)+(-55*n^2+21143*n-271032)*a(n-14)+(851*n^2-21361*n+ 134964)*a(n-15)+(1776*n^2-55188*n+428976)*a(n-16)+(1145*n^2-36481*n+290376)*a(n -17)+(338*n^2-11014*n+89496)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 97, a(8) = 275, a(9) = 794, a(10) = 2328, a(11) = 6918, a(12) = 20811, a(13) = 63331, a(14) = 194892 , a(15) = 606408, a(16) = 1907768, a(17) = 6068771, a(18) = 19521847, a(19) = 63504467}, [0, 1, 2, 5, 13, 35, 97, 275, 794, 2328, 6918, 20811, 63331, 194892, 606408, 1907768, 6068771, 19521847, 63504467, 208902464, 694858958, 2336584207, 7940984546, 27265439825, 94536277956, 330831769179, 1167867779513, 4156245724821, 14902839531135, 53807010010542, 195506159236374, 714489002835577 , 2624948441263899, 9690121413053196, 35927843782421577, 133737757444091985, 499622443564723614, 1872641477469050026, 7039899921128383736, 26537815127838727606, 100288336103808165271, 379868118895466029827, 1441891728818084903274, 5483762336168145366724, 20893303774832795294274, 79737232100193171773184, 304782223880949048387246, 1166666205276907462953981, 4471886004196713839763979, 17162658969322451979388633], 11648326575987658323705\ 7468909054537112814208500548680844434811477848157712734443681692236315728113580\ 2913474651639084004384301217500019869110462829401816055086594225298826046864693\ 6808487967931970918223118783093379476093216375661648440562250892075102376057342\ 9822169371238288725958100794359575727210981608526327060944939591594108773278374\ 3565817142243924323840138278484177947765421970625940888374047114452121229524767\ 2703467027663888989339187573303684406428624481855893967031156577018514097555808\ 5794144896630944664397256157463318701240036147122081479221882253390432303195498\ 18966075162527262048] ---------------------------- (A,B)= , {1}, {3, 4} [P^2*x^5+6*P^2*x^4-2*P*x^5+10*P^2*x^3-7*P*x^4+x^5-P^2*x^2-16*P*x^3+2*x^4-4*P^2* x+6*x^3+P^2+8*P*x+x^2-2*P-4*x+1, (C*x^3+x^2+2*x-1)/(C*x^3+2*x^2+2*x-1), {-2*n*( n-4)*a(n)+(n-1)*(31*n-150)*a(n-1)+(-178*n^2+1378*n-2052)*a(n-2)+(417*n^2-4167*n +8850)*a(n-3)+(-86*n^2+2096*n-7464)*a(n-4)+(-1104*n^2+12318*n-33156)*a(n-5)+( 886*n^2-13219*n+46950)*a(n-6)+(1124*n^2-15884*n+55908)*a(n-7)+(-571*n^2+11134*n -52464)*a(n-8)+(-686*n^2+12602*n-57816)*a(n-9)+(-154*n^2+2764*n-12216)*a(n-10)+ (7*n^2-214*n+1512)*a(n-11)+2*(2*n-23)*(n-12)*a(n-12) = 0, a(1) = 0, a(2) = 1, a (3) = 2, a(4) = 6, a(5) = 17, a(6) = 49, a(7) = 142, a(8) = 414, a(9) = 1214, a (10) = 3581, a(11) = 10629, a(12) = 31760}, [0, 1, 2, 6, 17, 49, 142, 414, 1214 , 3581, 10629, 31760, 95591, 289996, 887416, 2741347, 8555550, 26996720, 86188908, 278556199, 911729527, 3022694147, 10150452657, 34516946593, 118806484618, 413656731106, 1455821096663, 5174683753013, 18560537090678, 67119820679293, 244511752038788, 896591085228928, 3306887931614849, 12259988046785376, 45661725435647356, 170758588249040863, 640892344166087224, 2413180024756832204, 9112740262192068662, 34501289871841643340, 130929785234605209267, 497923860020256455704, 1897256567786312055907, 7241957171056186458350, 27687893692805512542145, 106016411910696870258389, 406496936270197444160295, 1560629699674393442332812, 5998782416125909942284473, 23084121490396320109028995], 17159904736311140883112958213930078176573190289820\ 7336623893823331070694659886678426247674216293218963121092064200886628568103346\ 9535197595594663897171507469610986348319122631221266405436865466376766043630400\ 0794483017862994352232523697213409687129629108239797133057941219592173396700637\ 6581423080312020804186192583418993600532911687223807563367943866978837948126032\ 6702351698169091657080875151508032833917165322100908347359782851099996997437006\ 4101083681663380954299278234485723636867420049275270901875279707230821225247526\ 868298873877162428600464868606412418586381000315327895883478077152547996] ---------------------------- (A,B)= , {1}, {3, 5} [P^2*x^7+6*P^2*x^6+4*P^2*x^5-4*P*x^6-14*P^2*x^4-11*P*x^5-2*P^2*x^3+16*P*x^4+4*x ^5+14*P^2*x^2+14*P*x^3-x^4-7*P^2*x-30*P*x^2-12*x^3+P^2+14*P*x+16*x^2-2*P-7*x+1, ((2*x^3-x^2)*C+x^2-3*x+1)/((x^4+2*x^3-x^2)*C+x^3-3*x+1), {-5*n*(n-5)*a(n)+15*(n -1)*(7*n-40)*a(n-1)+(-931*n^2+7841*n-11988)*a(n-2)+(4495*n^2-45623*n+96924)*a(n -3)+(-12578*n^2+150388*n-403824)*a(n-4)+(19360*n^2-271868*n+888072)*a(n-5)+(-\ 10979*n^2+198625*n-822516)*a(n-6)+(-10556*n^2+127264*n-343188)*a(n-7)+(17766*n^ 2-298584*n+1230816)*a(n-8)+(-2861*n^2+75451*n-437700)*a(n-9)+(-6574*n^2+116516* n-508944)*a(n-10)+(1814*n^2-42946*n+248400)*a(n-11)+(982*n^2-18518*n+82584)*a(n -12)+(-67*n^2+2081*n-14940)*a(n-13)+(40*n^2-1262*n+9672)*a(n-14)+8*(2*n-27)*(n-\ 14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 17, a(6) = 50, a(7) = 148, a(8) = 442, a(9) = 1328, a(10) = 4012, a(11) = 12182, a(12) = 37173 , a(13) = 114002, a(14) = 351442, a(15) = 1089364}, [0, 1, 2, 6, 17, 50, 148, 442, 1328, 4012, 12182, 37173, 114002, 351442, 1089364, 3396454, 10655984, 33657232, 107076799, 343292999, 1109695450, 3618386656, 11906314980, 39549016690, 132645189890, 449258642541, 1536555537124, 5306281666068, 18497551356636, 65067771213966, 230862512031988, 825764767145136, 2976019295375403, 10800485649445701, 39448413655591989, 144927474103010739, 535271103104174842, 1986461247271141122, 7404018334098912142, 27704569174882222515, 104031530115703778320, 391884937206739230723, 1480466939097280051684, 5607470232330249834774, 21289162298761741774124, 80999245326227888813830, 308782407805895093570891, 1179237548926381377427547, 4510904807741232427246528, 17281580401463139284206656], 11438992989792343402228\ 3336396250208726993735263394615049214621656259555840073366872459327340784813306\ 1988987100744335810171715120213705799778381667584152179744680966467719501995716\ 0911412141764206607028024724484772250868431438387289920957615534347643937769924\ 2882217401143650193238656655472818000822957377660309018745505409710720185659266\ 1923728980397978619723090580069240713953655638787874999993549523523672027531616\ 5014903996787811787676613461852438434191118058759216567773890834811348635734233\ 0868855528801998045788741266591790881016247411807338037079651167086650931875359\ 24438758198691878663] ---------------------------- (A,B)= , {1}, {4, 5} [P^2*x^9+4*P^2*x^8+6*P^2*x^7-2*P*x^8-4*P*x^7-15*P^2*x^5-2*P*x^6+x^7-10*P^2*x^4+ 13*P*x^5+14*P^2*x^3+20*P*x^4+6*P^2*x^2-20*P*x^3-9*x^4-6*P^2*x-14*P*x^2+6*x^3+P^ 2+12*P*x+8*x^2-2*P-6*x+1, ((x^4-x^3)*C+x^3-3*x+1)/((x^5+x^4-x^3)*C+x^4+2*x^3-x^ 2-3*x+1), {-5*n*(n-5)*a(n)+24*(n-1)*(4*n-23)*a(n-1)+(-739*n^2+6305*n-9684)*a(n-\ 2)+(2798*n^2-29182*n+62832)*a(n-3)+(-4670*n^2+59998*n-168096)*a(n-4)+(-691*n^2-\ 4765*n+49224)*a(n-5)+(12472*n^2-172916*n+578064)*a(n-6)+(-8421*n^2+153705*n-\ 661716)*a(n-7)+(-12463*n^2+189887*n-711312)*a(n-8)+(10031*n^2-200263*n+977112)* a(n-9)+(8080*n^2-135320*n+548400)*a(n-10)+(-3391*n^2+86441*n-525348)*a(n-11)+(-\ 3190*n^2+55040*n-206520)*a(n-12)+(-279*n^2-7173*n+123072)*a(n-13)+(-78*n^2+7506 *n-92760)*a(n-14)+(-274*n^2+13190*n-131544)*a(n-15)+(138*n^2-3972*n+28992)*a(n-\ 16)+3*(109*n-1704)*(n-17)*a(n-17)+(186*n^2-6138*n+50472)*a(n-18)+20*(2*n-31)*(n -18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 18, a(6) = 56, a(7) = 176, a(8) = 557, a(9) = 1770, a(10) = 5642, a(11) = 18031, a(12) = 57762 , a(13) = 185468, a(14) = 596904, a(15) = 1925648, a(16) = 6227769, a(17) = 20194477, a(18) = 65667724, a(19) = 214179318}, [0, 1, 2, 6, 18, 56, 176, 557, 1770, 5642, 18031, 57762, 185468, 596904, 1925648, 6227769, 20194477, 65667724, 214179318, 700821849, 2301182142, 7584476399, 25099047376, 83421419248, 278561961970, 934815268327, 3153716539345, 10698898065722, 36508263514943, 125337414032646, 433003161824526, 1505510722865437, 5268614665962596, 18558385315569207, 65796065753089827, 234765619569870049, 842904615588225488, 3044700316698461581, 11061837685961391985, 40411634087438142401, 148405859638139516176, 547675717936970428096, 2030405622137816915026, 7559412872984372777350, 28255367347402578737278, 105995627520799937657902, 398953129545088385462637, 1506201368724045458906003, 5702428906176158225367617, 21644586773629261030300280], 12606207398222199749867519784307425309794284246700\ 8622035783130621446593703099541889676321818339353449649178953681588012889501234\ 9275926922220441646500620099742248836110155622773583670911993675179890599736725\ 4276105116069597657041450468995887579858094402273110073947704371932213577051649\ 5137085538558300926772716764674752101706272941169950146536658562998886047427207\ 2755681473397912998620184024907988261295516076780562340467074705963660042526484\ 5255582493244735095307179625754098332253990335821860431100819463820750343944079\ 026063898782524894220754941616377270860144327808716513976663747540104811] ---------------------------- (A,B)= , {1}, {1, 2, 3} [P^2*x^7+2*P^2*x^6+3*P^2*x^5+P^2*x^4-3*P^2*x^3-2*P^2*x^2+3*P*x^3+2*P*x^2+P^2-2* P+1, -1/(C*x^4+x^3+x^2-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)+(-49*n^2+ 393*n-596)*a(n-2)+(-53*n^2+363*n-544)*a(n-3)+(50*n^2-678*n+1768)*a(n-4)+(214*n^ 2-1770*n+3356)*a(n-5)+(5*n^2+231*n-1124)*a(n-6)+(-213*n^2+2313*n-6252)*a(n-7)+( -129*n^2+1341*n-3576)*a(n-8)+(-396*n+2316)*a(n-9)+2*(34*n-247)*(n-8)*a(n-10)+( 45*n^2-675*n+2544)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 0, a(2) = 1, a( 3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 28, a(9) = 72, a(10) = 204, a(11) = 619, a(12) = 1975}, [0, 1, 1, 2, 3, 6, 12, 28, 72, 204, 619, 1975, 6526, 22115, 76360, 267508, 948072, 3392274, 12235781, 44439090, 162367743, 596376357, 2200739691, 8155097310, 30333326624, 113210383786, 423832515490, 1591212457928, 5989446109497, 22598554236509, 85453795091376, 323793934453275, 1229221510645600, 4674762606276636, 17807641301400109, 67939912747228352, 259581591375448550, 993151322746176433, 3804654249823908926, 14592904222104524457, 56035875417681879055, 215408050417019098196, 828904623918092568194, 3192798018155131889726, 12309534942818751118285, 47500233680604887750073, 183449149714961631421099, 709062827916501592273286, 2742755708253448648324090, 10617158477341771971403615], 96299831672180469978041\ 2637830728758348179975927050724894715177862557079908980087015171094909520870864\ 4384942916897238808422132331954904857155579333298255662967523825727084139705790\ 9751125891856971316602906685976328732025416023862225820288126246796539969065782\ 9934471396733709390304916056695891802285369813023733914786521532506968682089035\ 2240914344119601313109599289937183088944230294503986268446283097709041699004291\ 3172896696434814462081519269235518866113840425612094816824988758045184452643394\ 1606300787712792065172941777857044634259971350631707509906320915195978178551271\ 1120298189192262571] ---------------------------- (A,B)= , {1}, {1, 2, 4} [P^2*x^7-3*P^2*x^5+2*P*x^5+5*P^2*x^3+P*x^4-6*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P* x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4-x^2)*C-x^2-x+1), {4*n*(n-4)*a(n)-5*(n-1)* (11*n-54)*a(n-1)+(281*n^2-2189*n+3270)*a(n-2)+(-619*n^2+6109*n-12954)*a(n-3)+( 344*n^2-5078*n+15648)*a(n-4)+(792*n^2-7686*n+17124)*a(n-5)+(-1018*n^2+13846*n-\ 45096)*a(n-6)+(-364*n^2+2656*n-1656)*a(n-7)+(852*n^2-11994*n+41400)*a(n-8)+(72* n^2+36*n-3768)*a(n-9)+(-365*n^2+5069*n-17010)*a(n-10)+(40*n^2-742*n+3516)*a(n-\ 11)+2*(25*n-117)*(n-10)*a(n-12)-2*(n-10)*(5*n-54)*a(n-13)+4*(2*n-23)*(n-12)*a(n -14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 18 , a(8) = 42, a(9) = 105, a(10) = 278, a(11) = 778, a(12) = 2288, a(13) = 7022, a(14) = 22335}, [0, 1, 1, 2, 4, 8, 18, 42, 105, 278, 778, 2288, 7022, 22335, 73153, 245364, 839015, 2914468, 10255741, 36479430, 130937377, 473622108, 1724605914, 6316322255, 23251500467, 85980295241, 319226224982, 1189523666626, 4447049015654, 16674992218991, 62696335959463, 236321740890602, 892820804031848 , 3380244869771577, 12822947859944372, 48733017557763520, 185524183431933688, 707409707484458395, 2701412489682712478, 10330478069571571524, 39557002864956395072, 151658500073513221882, 582130468764584121091, 2236950476984562392049, 8604969997363843431734, 33134145836011694296505, 127706760057167682982632, 492655743793197979418127, 1902155814723412333814161, 7350284277484973605957154], 620489324582715135226962385888421088122851136960667\ 9719451976928337800340288597957881052660622970433715519995247694811819742294567\ 0502892569607154765493770280515686139623365525764546118709224559782851908359858\ 9717839459635360013496141142810841750410132538518811196318931167288188369963327\ 6217989827441973995513210395381760438789429984573856003283200687648544000031040\ 8613405466112814732769006469908528812339533825133038756951641646951442240111229\ 3263383352277805063230035817995309349971843742514820255544537733905116084960218\ 1405649181697268405247155207529138017304712576222396818850878534347774] ---------------------------- (A,B)= , {1}, {1, 2, 5} [P^2*x^9+4*P^2*x^8+5*P^2*x^7-3*P^2*x^6-12*P^2*x^5+2*P*x^6-3*P^2*x^4+9*P*x^5+9*P ^2*x^3+4*P*x^4+4*P^2*x^2-10*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x +1, (-C*x^2-2*x+1)/((x^5+x^4-x^2)*C+x^4+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)-3*(n-1) *(29*n-168)*a(n-1)+(603*n^2-5181*n+7980)*a(n-2)+(-2048*n^2+21484*n-46476)*a(n-3 )+(3107*n^2-40021*n+113040)*a(n-4)+(-57*n^2+8595*n-48996)*a(n-5)+(-4796*n^2+ 67444*n-222588)*a(n-6)+(1095*n^2-31635*n+166248)*a(n-7)+(6133*n^2-93053*n+ 341652)*a(n-8)+(-904*n^2+28556*n-169188)*a(n-9)+(-4806*n^2+83478*n-356712)*a(n-\ 10)+(-713*n^2+4993*n+13500)*a(n-11)+(1966*n^2-39824*n+200040)*a(n-12)+(908*n^2-\ 15634*n+64488)*a(n-13)+(-166*n^2+4940*n-34344)*a(n-14)+(-166*n^2+3830*n-21984)* a(n-15)+(-10*n^2+152*n-288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a( 2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 22, a(8) = 57, a(9) = 154, a(10) = 430, a(11) = 1234, a(12) = 3629, a(13) = 10917, a(14) = 33552, a( 15) = 105235, a(16) = 336475, a(17) = 1095431}, [0, 1, 1, 2, 4, 9, 22, 57, 154, 430, 1234, 3629, 10917, 33552, 105235, 336475, 1095431, 3626655, 12193745, 41580232, 143605771, 501685154, 1770675909, 6306843001, 22647118031, 81912750024, 298182722100, 1091698263610, 4017416361830, 14851968872649, 55133164861773, 205427346701985, 768010622474861, 2880091979582878, 10830755739534572, 40833985546639391, 154313851312399221, 584424171929067221, 2217790596367420981, 8431770080248011449, 32111919681297027846, 122493299634984189352, 467962723415639823836, 1790283338152048012099, 6858141633658326772862, 26304574629019570673755, 101010204246685994321336, 388311256051356121799520, 1494340137996011966174850, 5756384321917573432299658] , 43391240201600435970814935636490355488708721582017637589157349212608755067263\ 7894576799527863733068733896071741410217326096586022662135040596815343708622007\ 8101416995021479506163577260736734263597613921404716059049912841997778943400638\ 2172744722287246134232190113152351078968973697709573769647615080972731376979542\ 3507171958151133839995860167954739721373031701045051899114830231748853670596879\ 6983664195351568015142434630688012986474054208592491775413006679292326660313992\ 4550172584380729402007671358900624826283511000196136808072998438137642794461751\ 60734218812209334834326534008697742341602590] ---------------------------- (A,B)= , {1}, {1, 3, 4} [P^2*x^5+6*P^2*x^4-2*P*x^5+5*P^2*x^3-7*P*x^4+x^5-4*P^2*x^2-8*P*x^3+2*x^4-2*P^2* x+6*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/(C*x^3+2*x^2+x-1), { -2*n*(n-4)*a(n)+24*(n-1)*(n-5)*a(n-1)+(-91*n^2+742*n-1128)*a(n-2)+(55*n^2-769*n +1902)*a(n-3)+(350*n^2-3272*n+7176)*a(n-4)+(-489*n^2+6090*n-17904)*a(n-5)+(-448 *n^2+5089*n-14346)*a(n-6)+(717*n^2-10932*n+41232)*a(n-7)+(347*n^2-4745*n+15678) *a(n-8)+(-285*n^2+5532*n-26700)*a(n-9)+(-126*n^2+2394*n-11328)*a(n-10)+(7*n^2-\ 214*n+1512)*a(n-11)+2*(2*n-23)*(n-12)*a(n-12) = 0, a(1) = 0, a(2) = 1, a(3) = 1 , a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 32, a(8) = 76, a(9) = 185, a(10) = 466, a(11) = 1218, a(12) = 3316}, [0, 1, 1, 3, 6, 14, 32, 76, 185, 466, 1218, 3316, 9418, 27891, 85896, 273938, 900193, 3032794, 10427843, 36451218, 129132412, 462478314, 1671269034, 6084917303, 22295393902, 82136376570, 304022213355, 1129991804278, 4215437445735, 15777563789937, 59228001756876, 222938649321806, 841226821993103, 3181429628955061, 12056914227034615, 45781189001463156, 174146652062057241, 663539814811313672, 2532181420022108541, 9677330285650673276, 37034824461819859246, 141913481749823671982, 544456844370736151050, 2091222702027717345991, 8040946138009183216340, 30949901738952691304276, 119243249883733732124915, 459843062181780624818938, 1774872835266646598060165, 6856279167347269776983231], 572699220373627344339757\ 3012260565769772699004211908281996119631171422413063886357458272781821503401521\ 8716979695368528337777484964128235745141578858746679104719175052243562175847755\ 3674960035800626074090879797508959011049960942749026241805715458197674463771776\ 2470076403119466212431493486200519068780691278258279794223420970164315548970703\ 1801425673317202816641460315706295867891852255002692183048990819410520497491440\ 6498133864425378527033448263970799939681888973678864941655201522004829621744337\ 8622778612443443902193962626321718393339896788621205373467291542813551390212296\ 747715798906539486] ---------------------------- (A,B)= , {1}, {1, 3, 5} [P^2*x^7+4*P^2*x^6-3*P^2*x^5-2*P*x^6-9*P^2*x^4-P*x^5+7*P^2*x^3+12*P*x^4+x^5+5*P ^2*x^2-6*P*x^3-2*x^4-5*P^2*x-12*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2 )*C-2*x+1)/((x^4+x^3-x^2)*C+x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168) *a(n-1)+(-611*n^2+5239*n-8064)*a(n-2)+(2165*n^2-22567*n+48672)*a(n-3)+(-3727*n^ 2+47117*n-131544)*a(n-4)+(1275*n^2-26589*n+109080)*a(n-5)+(5514*n^2-67944*n+ 196752)*a(n-6)+(-7091*n^2+110683*n-417720)*a(n-7)+(-560*n^2-1352*n+43200)*a(n-8 )+(5144*n^2-85966*n+357552)*a(n-9)+(-1398*n^2+29166*n-149856)*a(n-10)+(-1288*n^ 2+23414*n-104040)*a(n-11)+(362*n^2-7948*n+42600)*a(n-12)+(82*n^2-1490*n+6144)*a (n-13)+(22*n^2-632*n+4512)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2 ) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 36, a(8) = 91, a(9) = 233, a(10) = 612, a(11) = 1642, a(12) = 4512, a(13) = 12706, a(14) = 36713, a( 15) = 108904}, [0, 1, 1, 3, 6, 15, 36, 91, 233, 612, 1642, 4512, 12706, 36713, 108904, 331662, 1036295, 3317694, 10863200, 36300017, 123504384, 426869684, 1495616211, 5301823329, 18983880005, 68561367363, 249451777905, 913419731789, 3363320867033, 12444548414964, 46243658778469, 172495562390805, 645625008592617 , 2423877338940851, 9125194802708095, 34440248284105968, 130283454654607445, 493889278278502739, 1875926900187411939, 7138144653712746625, 27207096494778467197, 103862036970408387798, 397067929996401798914, 1520078894469732823642, 5826726640838888503597, 22361841380850430409531, 85918170980653492636403, 330468250020887924359552, 1272379627434307676829573, 4903689178637816213086412], 375738536732630804875144287282430058187933717825817\ 0493261973554152430386639330406633473963171441474810691039376444767344538606656\ 3567008029515479841106642283659421878288897946925428645211505415082008754125745\ 6890401895167369142589359742210220746375906004472833932052158616951340350027352\ 5641948340956206004734333406616750921925483493191359612448318241417037524999855\ 6557454708043378659838631036644200237881839804624983974134867696938024184618873\ 5721458732142679690827456497118000031257581381218321442551680851436930240216661\ 8871010398497246708857653978714788197976431439898356668825561010549493] ---------------------------- (A,B)= , {1}, {1, 4, 5} [P^2*x^9+2*P^2*x^8+P^2*x^7-6*P^2*x^6+2*P*x^7-10*P^2*x^5+4*P*x^6+5*P^2*x^4+7*P*x ^5+12*P^2*x^3-6*P*x^4+x^5-P^2*x^2-18*P*x^3+2*x^4-4*P^2*x+6*x^3+P^2+8*P*x+x^2-2* P-4*x+1, (-C*x^3-x^2-2*x+1)/((x^5-x^3)*C+x^4+x^3-2*x^2-2*x+1), {5*n*(n-5)*a(n)-\ 6*(n-1)*(13*n-76)*a(n-1)+(451*n^2-3947*n+6120)*a(n-2)+(-1048*n^2+11558*n-25656) *a(n-3)+(26*n^2-3478*n+15576)*a(n-4)+(3584*n^2-44218*n+127104)*a(n-5)+(-2650*n^ 2+44768*n-170988)*a(n-6)+(-5837*n^2+81643*n-280320)*a(n-7)+(4546*n^2-81668*n+ 354132)*a(n-8)+(5999*n^2-100363*n+421656)*a(n-9)+(-2375*n^2+49927*n-256932)*a(n -10)+(-3455*n^2+65923*n-314280)*a(n-11)+(-66*n^2-5364*n+66456)*a(n-12)+(910*n^2 -20120*n+113580)*a(n-13)+(202*n^2-1058*n-16632)*a(n-14)+(-137*n^2+4459*n-35148) *a(n-15)+(-10*n^2+110*n+360)*a(n-16)+10*(n-15)*(5*n-76)*a(n-17)+12*(2*n-29)*(n-\ 16)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 19, a (7) = 51, a(8) = 140, a(9) = 387, a(10) = 1080, a(11) = 3040, a(12) = 8638, a( 13) = 24796, a(14) = 71986, a(15) = 211607, a(16) = 630630, a(17) = 1907727, a( 18) = 5864537}, [0, 1, 1, 3, 7, 19, 51, 140, 387, 1080, 3040, 8638, 24796, 71986, 211607, 630630, 1907727, 5864537, 18336018, 58340049, 188923706, 622518317, 2085846988, 7099927060, 24521086061, 85812940818, 303868605477, 1087286898294, 3926170738932, 14290676647174, 52377399707360, 193129902102621, 715865711148902, 2665643931930309, 9965920785608520, 37391388975972411, 140731390104063893, 531164296782686502, 2009837894215373466, 7622224858197887909, 28966813219218713371, 110291049066971136139, 420661968476245606671, 1607019787471354500663, 6148271092673196542377, 23555020916854319469045, 90359264364732502831539, 347044301116588096763491, 1334406664355759837401644, 5136339419943293193969842], 380203321251998429409492\ 2630468137042793278077917895202372524485447424620987859186727484378765303610891\ 7791488319025645519728893760218669021678634210710944093121916326550570965158420\ 3205364039038118498880519505898328248689522336997525813763148572215222838323487\ 5258418662633576669957858093734742870661247744513244784844042166969289023175718\ 1967830584121111538706655115554103102193141834116678362807966055238595758787297\ 5672959769049124477174947417630205167145357043715459350978084238662431438879139\ 1926830332162164609920620654817168290737773222710555837474646211224563846787711\ 126449901876498022] ---------------------------- (A,B)= , {1}, {2, 3, 4} [P^2*x^9+4*P^2*x^8+8*P^2*x^7-2*P*x^8+12*P^2*x^6-6*P*x^7+13*P^2*x^5-10*P*x^6+x^7 +6*P^2*x^4-14*P*x^5+2*x^6-P^2*x^3-9*P*x^4+3*x^5-3*P^2*x^2+2*P*x^3+4*x^4-2*P^2*x +4*P*x^2-x^3+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^4+x^3+x^2+x-1)/((x^5+x^4)*C+x^4+2*x^ 3+2*x^2+x-1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)+(-188*n^2+1520*n-2304)*a(n -2)+(201*n^2-2217*n+5010)*a(n-3)+(212*n^2-2108*n+4560)*a(n-4)+(-23*n^2+1475*n-\ 6702)*a(n-5)+(-683*n^2+9923*n-34110)*a(n-6)+(-709*n^2+6169*n-8250)*a(n-7)+(517* n^2-11761*n+58146)*a(n-8)+(1327*n^2-21751*n+86382)*a(n-9)+(835*n^2-8179*n-1122) *a(n-10)+(-126*n^2+13026*n-122652)*a(n-11)+(-114*n^2+7170*n-62364)*a(n-12)+(864 *n^2-24372*n+173352)*a(n-13)+(1930*n^2-57070*n+419892)*a(n-14)+(2184*n^2-65256* n+486624)*a(n-15)+(1619*n^2-48755*n+366702)*a(n-16)+(866*n^2-26594*n+203388)*a( n-17)+(314*n^2-9914*n+77652)*a(n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 29, a(7) = 71, a(8) = 175, a(9) = 436, a(10) = 1100, a(11) = 2819, a(12) = 7364, a(13) = 19687, a(14) = 54083, a(15) = 153228, a(16) = 448888, a(17) = 1361154, a(18) = 4268915, a(19) = 13814641}, [0, 1, 2, 5, 12, 29, 71, 175, 436, 1100, 2819, 7364, 19687, 54083, 153228, 448888, 1361154, 4268915, 13814641, 45967967, 156646462, 544499265, 1923568895, 6885082110, 24906207731, 90873528565, 333906393499, 1234097456394, 4583637080683, 17096053273604, 63997480160967, 240335744383619, 905122469993341 , 3417459447312660, 12933072053836703, 49047207218289564, 186365748591603440, 709401995886299729, 2704809840208438792, 10328787897979672859, 39499000147095131644, 151254205422641407554, 579933060595273837806, 2226204982184659669631, 8555394706046791465363, 32913635869203088367749, 126750040770263974417923, 488578440950742254081864, 1885010171510784110862366, 7278923174234664444885874], 600302138502586527258945902786137234309584016316767\ 1267368947137841127190344431661621692768246661918322947956608191070214379757651\ 2516774705770526778323568517502274091443228220495499655127659005568634005358630\ 3712224786223970566868667055953480899700276511071306747899306837828278039104897\ 7213220427600799290310233335828821785544795130202903037306334393183485588262031\ 0525095218401649421014620233792819637491629371876018874043586864052215946902427\ 3788430830396677416858454276763139756881879507527110957161115947293306833257072\ 9082126532032327404828253994189396329999033055452347213279216459266375] ---------------------------- (A,B)= , {1}, {2, 3, 5} [P^2*x^9+4*P^2*x^8+6*P^2*x^7-2*P*x^8+P^2*x^6-6*P*x^7-7*P^2*x^5-4*P*x^6+x^7-5*P^ 2*x^4+7*P*x^5+2*x^6+6*P^2*x^3+10*P*x^4-x^5+5*P^2*x^2-6*P*x^3-4*x^4-5*P^2*x-12*P *x^2+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^4+x^3-x^2)*C-2*x+1)/((x^5+2*x^4+x^3-x^2)*C -x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)+(-611*n^2+5239*n-8064)* a(n-2)+(2170*n^2-22592*n+48672)*a(n-3)+(-3810*n^2+47700*n-132120)*a(n-4)+(1834* n^2-31616*n+117936)*a(n-5)+(3581*n^2-46795*n+145404)*a(n-6)+(-3651*n^2+65835*n-\ 280596)*a(n-7)+(-2687*n^2+34507*n-99396)*a(n-8)+(2851*n^2-59549*n+297912)*a(n-9 )+(2163*n^2-27813*n+62292)*a(n-10)+(-1071*n^2+28497*n-173412)*a(n-11)+(-1042*n^ 2+11906*n+5964)*a(n-12)+(-94*n^2-3406*n+50256)*a(n-13)+(-151*n^2+8003*n-82416)* a(n-14)+(-165*n^2+7167*n-68028)*a(n-15)+(270*n^2-8322*n+64368)*a(n-16)+(417*n^2 -13425*n+107928)*a(n-17)+(210*n^2-6870*n+56040)*a(n-18)+20*(2*n-31)*(n-18)*a(n-\ 19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 75, a(8) = 190, a(9) = 486, a(10) = 1257, a(11) = 3291, a(12) = 8737, a(13) = 23569, a(14) = 64759, a(15) = 181688, a(16) = 521741, a(17) = 1536534, a(18) = 4646630, a(19) = 14434275}, [0, 1, 2, 5, 12, 30, 75, 190, 486, 1257, 3291, 8737 , 23569, 64759, 181688, 521741, 1536534, 4646630, 14434275, 46029570, 150453142 , 502964294, 1715262424, 5951463787, 20955975009, 74710337176, 269137343019, 978041663003, 3580378421742, 13188602045199, 48839444844325, 181687498948676, 678583218186398, 2543282875006379, 9561533057488223, 36046199537466109, 136229729160185297, 516017952593434317, 1958633441172876371, 7448414467550813562, 28374837703120349798, 108269544671158737749, 413745848892037281599, 1583331721439879625511, 6067114849957780847810, 23277138662137288673699, 89409247504828746911666, 343804893712857452193807, 1323403463690074185725991, 5099165721879318929966230], 388112988351419434669095\ 1001138566138504824501730350425549774755021931227733853247574707519986542387767\ 1566468246386096876407440068770948782565579138897399743051359252580388437339820\ 6381048648303776228026287811085327959460114375182863106131854508641412316356499\ 8547348929186341389719954038382249317766647190435993483485474206017582427206832\ 7331985330795073076686658341558977467306463365083610275215734134461614298356054\ 2956908073010089702310878190807906426434431567716827627063229923324829424438060\ 0860234556374490839280158458734108066203661365550367182375751296342948096990223\ 949179509356988238] ---------------------------- (A,B)= , {1}, {2, 4, 5} [P^2*x^9+4*P^2*x^8+3*P^2*x^7-2*P*x^8-7*P^2*x^6-4*P*x^7-12*P^2*x^5+4*P*x^6+x^7+3 *P^2*x^4+15*P*x^5+13*P^2*x^3+2*P*x^4-3*x^5-P^2*x^2-22*P*x^3-4*x^4-4*P^2*x+9*x^3 +P^2+8*P*x+x^2-2*P-4*x+1, ((x^4-x^3)*C+x^3-x^2-2*x+1)/((x^5+x^4-x^3)*C+x^4+x^3-\ 2*x^2-2*x+1), {-5*n*(n-5)*a(n)+6*(n-1)*(13*n-76)*a(n-1)+(-451*n^2+3947*n-6120)* a(n-2)+(1039*n^2-11477*n+25464)*a(n-3)+2*(7*n+183)*(7*n-32)*a(n-4)+(-4190*n^2+ 52096*n-153144)*a(n-5)+(3733*n^2-61265*n+234300)*a(n-6)+(6150*n^2-85566*n+ 291048)*a(n-7)+(-7075*n^2+130001*n-581628)*a(n-8)+(-5840*n^2+86962*n-309324)*a( n-9)+(4953*n^2-102723*n+520548)*a(n-10)+(4012*n^2-62174*n+209952)*a(n-11)+(-\ 1074*n^2+26718*n-154164)*a(n-12)+(-1022*n^2+9382*n+39780)*a(n-13)+(-99*n^2-459* n+17736)*a(n-14)+(-474*n^2+17328*n-151812)*a(n-15)+(-290*n^2+9736*n-80760)*a(n-\ 16)+(183*n^2-5991*n+48888)*a(n-17)+(186*n^2-6138*n+50472)*a(n-18)+20*(2*n-31)*( n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 34 , a(7) = 90, a(8) = 240, a(9) = 644, a(10) = 1739, a(11) = 4727, a(12) = 12944, a(13) = 35744, a(14) = 99671, a(15) = 281099, a(16) = 803274, a(17) = 2330410, a(18) = 6877381, a(19) = 20683756}, [0, 1, 2, 5, 13, 34, 90, 240, 644, 1739, 4727, 12944, 35744, 99671, 281099, 803274, 2330410, 6877381, 20683756, 63488843 , 199088838, 637991007, 2088498982, 6976865526, 23747970022, 82210003002, 288858935282, 1028130120097, 3700033142198, 13441167817675, 49217215689908, 181433099813840, 672658860038421, 2506047328055234, 9375680653964146, 35204085250223486, 132605631790705216, 500895508472068258, 1896770216503336530, 7198692520554202735, 27376055865174743358, 104300887315259925194, 398050460532626714685, 1521471290664156755903, 5823914680849670820497, 22322775427180192431827, 85669215805879614994282, 329162655869269001109059, 1266119897025920692137858, 4875172776026093943076480], 364329888803803133540139\ 0206301352361488419720370162911887575823656467497263874175005909491667925695798\ 0282431380399122996296872122993331279048784641919956050279679062613126572217835\ 5489741236057491131106277288282063092154685239236806860423024197926472487531779\ 6000281496643638505451664641079957359945300521752131350683646471522856344270030\ 6857175266722559497454911556471855595524572528855043449985300988532491439288774\ 8143731705845267275802759428299125108679923616671937443291805483770264923883193\ 9721757728844015144089795831930133951271083960708323684414378306409571477145981\ 525992854166787251] ---------------------------- (A,B)= , {1}, {3, 4, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7+6*P^2*x^5-4*P*x^6+x^7+10*P^2*x^4-9*P*x^5+2*x^6+5*P^2 *x^3-16*P*x^4+3*x^5-6*P*x^3+7*x^4-4*P^2*x-2*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-4*x+1 , (C*x^4+x^3+x^2+2*x-1)/(C*x^4+x^3+2*x^2+2*x-1), {-5*n*(n-5)*a(n)+6*(n-1)*(13*n -76)*a(n-1)+(-459*n^2+4005*n-6204)*a(n-2)+(1191*n^2-12813*n+28104)*a(n-3)+(-\ 1002*n^2+13650*n-40296)*a(n-4)+(-585*n^2+7335*n-18972)*a(n-5)+(-413*n^2+2029*n+ 1596)*a(n-6)+(2457*n^2-39609*n+154848)*a(n-7)+(1338*n^2-19074*n+67848)*a(n-8)+( -960*n^2+20784*n-109200)*a(n-9)+(-2088*n^2+47718*n-268680)*a(n-10)+(-1626*n^2+ 35778*n-197232)*a(n-11)+(-538*n^2+11078*n-54984)*a(n-12)+(-21*n^2-1461*n+22764) *a(n-13)+(102*n^2-3354*n+27000)*a(n-14)+10*(n-15)*(5*n-76)*a(n-15)+12*(2*n-29)* (n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 17, a(6) = 49, a(7) = 141, a(8) = 407, a(9) = 1177, a(10) = 3411, a(11) = 9907, a(12) = 28844, a(13) = 84207, a(14) = 246596, a(15) = 724729, a(16) = 2138796}, [0, 1, 2, 6, 17, 49, 141, 407, 1177, 3411, 9907, 28844, 84207, 246596, 724729, 2138796 , 6342631, 18916094, 56789172, 171804240, 524376195, 1616697543, 5041201420, 15917611154, 50947138263, 165433036120, 545277599642, 1824676179552, 6197923001321, 21358318539892, 74608653562440, 263912111711432, 944207129736346 , 3412567849517952, 12444496087120070, 45736247603320789, 169230667611623481, 629840900737358872, 2355945801005582117, 8850775112729241267, 33375155720377554334, 126262982258005668989, 479026156795691669832, 1821890372965473362461, 6944474011918941391241, 26521954053045013244079, 101468842390932149235842, 388818467625373061410489, 1492057181788520887986432, 5733175443287729079671568], 410731782239378561089145140513086640345101156273669\ 8861612448161300275920492678066399025071664706829263639526541256097526481506726\ 1256401727603182097604945063158296015199472892633057590098367172638674744903851\ 4324437788602449990564704707473768527585433365088817091647353822502733192558382\ 2115620872729473417642509954011230892366302738284589139714626061544607540003626\ 1981687873770797151453759714248184934809372517874390563150893483966021685114219\ 6312236856621186532215058037401675908964976974495346265512177250832592917841389\ 9870936570977945925384183108201500338210456652271373567549512474708657] ---------------------------- (A,B)= , {1}, {1, 2, 3, 4} [P^2*x^9+2*P^2*x^8+3*P^2*x^7+4*P^2*x^6+2*P^2*x^5-2*P^2*x^4-2*P^2*x^3+3*P*x^4-2* P^2*x^2+2*P*x^3+2*P*x^2+P^2-2*P+1, -1/(C*x^5+x^4+x^3+x^2-1), {-4*n*(n-4)*a(n)+2 *(n-1)*(17*n-90)*a(n-1)+(-62*n^2+560*n-888)*a(n-2)+(-77*n^2+605*n-978)*a(n-3)+( 110*n^2-1214*n+2868)*a(n-4)+(119*n^2-1505*n+4206)*a(n-5)+(178*n^2-1360*n+1728)* a(n-6)+(-84*n^2+1536*n-5832)*a(n-7)+(-346*n^2+4246*n-12780)*a(n-8)+(-220*n^2+ 2566*n-7500)*a(n-9)+(-19*n^2-341*n+2946)*a(n-10)+(94*n^2-2212*n+10968)*a(n-11)+ (154*n^2-2716*n+11988)*a(n-12)+(108*n^2-1890*n+8340)*a(n-13)+(45*n^2-855*n+4074 )*a(n-14)+6*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2 , a(5) = 3, a(6) = 5, a(7) = 9, a(8) = 17, a(9) = 36, a(10) = 85, a(11) = 225, a(12) = 653, a(13) = 2029, a(14) = 6608, a(15) = 22222}, [0, 1, 1, 2, 3, 5, 9, 17, 36, 85, 225, 653, 2029, 6608, 22222, 76425, 267180, 945859, 3382268, 12195279, 44282011, 161769631, 594117051, 2192232448, 8123089814, 30212854440, 112756478728, 422120035569, 1584741991994, 5964959857080, 22505745315521, 85101482458685, 322454503118104, 1224121809552798, 4655318990276185, 17733409076900873, 67656143053172121, 258495483331979157, 988989441860986933, 3788688368393054799, 14531590052320470141, 55800168334286784153, 214501047986258270561, 825411213856622933788, 3179330788372813918614, 12257573902978720860312, 47299586775985745638876, 182673747109856394901440, 706064023534537080626284, 2731149728152038007632466], 2400851084577487923285837\ 2536210146971363083430004462039066624952688672023890189569495055754943071609865\ 3431726391578441424956670988789274836471406577888374267409308488085417352909772\ 6334975273533776261394593325484044292684383151608528010185807398985944313426870\ 8394864247964733467210943213432983129419290105334332786801254398176760972975711\ 4135965030480109094823036341699840786627580700987517855398871672078859152865169\ 9828617779399114274433689347188960365287760260242145804724180941075645387134921\ 6559443577164867918254470073302070389643791210695230397221816645338624472523195\ 56156300162360660] ---------------------------- (A,B)= , {1}, {1, 2, 3, 5} [P^2*x^9+2*P^2*x^8+P^2*x^7-3*P^2*x^6-4*P^2*x^5+2*P*x^6+P^2*x^4+3*P*x^5+5*P^2*x^ 3-6*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x^4 -x^2)*C-x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(355*n^2-3125*n+ 4860)*a(n-2)+(-790*n^2+8594*n-19044)*a(n-3)+(445*n^2-6887*n+22032)*a(n-4)+(1005 *n^2-11355*n+28860)*a(n-5)+(-1142*n^2+17926*n-65124)*a(n-6)+(-861*n^2+10197*n-\ 27456)*a(n-7)+(985*n^2-18377*n+81012)*a(n-8)+(906*n^2-12102*n+36756)*a(n-9)+(-\ 476*n^2+10492*n-53736)*a(n-10)+(-631*n^2+10391*n-40500)*a(n-11)+(-44*n^2-950*n+ 12144)*a(n-12)+(268*n^2-4970*n+22512)*a(n-13)+(86*n^2-1300*n+3864)*a(n-14)-24*( n-11)*(n-13)*a(n-15)+(-2*n^2+4*n+288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 50, a(10) = 118, a(11) = 298, a(12) = 807, a(13) = 2321, a(14) = 7028, a (15) = 22184, a(16) = 72375, a(17) = 242331}, [0, 1, 1, 2, 3, 6, 11, 23, 50, 118, 298, 807, 2321, 7028, 22184, 72375, 242331, 828178, 2876929, 10126784, 36035551, 129399388, 468248039, 1705661263, 6248967196, 23010129365, 85109096146, 316061379107, 1177959928845, 4404578093971, 16518280554003, 62115671945747, 234162075434391, 884760842720176, 3350071006990813, 12709665138661761, 48306606136291150, 183915257329151422, 701325478485433911, 2678357436642158878, 10242948584961814414, 39224103156182860084, 150390287411204209890, 577291596337676684547, 2218460864424414280959, 8534223499388024748548, 32863101155431059452495, 126667069929914508081114, 488663059523285908600411, 1886806205690713252311255], 1542906963630686267450218\ 8985118391381956923295048700829987985610131359642355242464763797938002743982283\ 4249411385689290256827837014226194197868273970034908584937466280738186094182318\ 0997153298060249599362080585947624985383497369146285933789568881074380813655693\ 1449373360813682017810296722659181105210311351112661719336894313144872605266246\ 6732106857636074275892537183223215802545062713210325688125410472508312241442993\ 2633441197903993835782473251670064842319758125020907664058871493627540383986537\ 3531893130482993821772720301409305651517845252700702723063218713778357580508073\ 70024575474656702] ---------------------------- (A,B)= , {1}, {1, 2, 4, 5} [P^2*x^9+2*P^2*x^8-2*P^2*x^7-7*P^2*x^6+2*P*x^7-2*P^2*x^5+4*P*x^6+9*P^2*x^4+P*x^ 5+5*P^2*x^3-10*P*x^4+x^5-4*P^2*x^2-8*P*x^3+2*x^4-2*P^2*x+6*P*x^2+3*x^3+P^2+4*P* x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^5-x^3)*C+x^4-2*x^2-x+1), {5*n*(n-5)*a(n )-60*(n-1)*(n-6)*a(n-1)+(227*n^2-2077*n+3276)*a(n-2)+(-127*n^2+1919*n-4944)*a(n -3)+(-912*n^2+9768*n-23400)*a(n-4)+(1087*n^2-15785*n+51228)*a(n-5)+(1941*n^2-\ 23697*n+69720)*a(n-6)+(-2351*n^2+38263*n-149208)*a(n-7)+(-2830*n^2+41132*n-\ 148356)*a(n-8)+(2168*n^2-41530*n+194316)*a(n-9)+(2766*n^2-46152*n+192108)*a(n-\ 10)+(-727*n^2+17513*n-102036)*a(n-11)+(-1443*n^2+25797*n-111516)*a(n-12)+(49*n^ 2-3905*n+39744)*a(n-13)+(322*n^2-6194*n+28440)*a(n-14)-(11*n-145)*(7*n-204)*a(n -15)+(-58*n^2+1718*n-12744)*a(n-16)+10*(n-15)*(5*n-76)*a(n-17)+12*(2*n-29)*(n-\ 16)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a( 7) = 17, a(8) = 37, a(9) = 83, a(10) = 193, a(11) = 467, a(12) = 1183, a(13) = 3150, a(14) = 8829, a(15) = 26001, a(16) = 80077, a(17) = 256267, a(18) = 846434}, [0, 1, 1, 2, 4, 8, 17, 37, 83, 193, 467, 1183, 3150, 8829, 26001, 80077, 256267, 846434, 2867389, 9910198, 34798560, 123744998, 444557595, 1610535495, 5875644906, 21563813404, 79547096722, 294761206226, 1096571498649, 4093914030191, 15332795906754, 57591019205644, 216884177206519, 818737739543095 , 3097576838331157, 11743198141556576, 44603904916705967, 169716430110249819, 646826515298902735, 2468984056704555466, 9437857924967319095, 36125621005971229071, 138455251814724924091, 531280996183245393025, 2040943780573551226799, 7848799960541537578741, 30214582233905841664204, 116425627125257788007594, 449033223860529513916981, 1733353040938806186698407], 1405818347259928999145066497892143275197544336909976391074897982576990854722215\ 7775099124159632553311059501886643126323282670138436271512505659901897568630707\ 1434217490073069800365002284708998300627122464475194566403719469918204066370712\ 6860152786901458557799435198098426634496108648300329136878363886528656361178620\ 3613751157729694511152584319892706533314146870666393456508344196995770323748557\ 9812408373108258725610679172106076636684021300745241985705595849540103960125437\ 1573842787954001936893049541688941960564333145933629426116776341906752643940044\ 729965544949871313184569625486418710175645] ---------------------------- (A,B)= , {1}, {1, 3, 4, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7+6*P^2*x^5-4*P*x^6+x^7+7*P^2*x^4-9*P*x^5+2*x^6+P^2*x^ 3-10*P*x^4+3*x^5-3*P^2*x^2+4*x^4-2*P^2*x+4*P*x^2-x^3+P^2+4*P*x-x^2-2*P-2*x+1, ( C*x^4+x^3+x^2+x-1)/(C*x^4+x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1 )+(-235*n^2+2135*n-3360)*a(n-2)+(237*n^2-2913*n+6936)*a(n-3)+(388*n^2-4040*n+ 8832)*a(n-4)+(-270*n^2+4686*n-15696)*a(n-5)+(-1198*n^2+16232*n-53364)*a(n-6)+(-\ 32*n^2-1916*n+13776)*a(n-7)+(1522*n^2-25892*n+109524)*a(n-8)+(1075*n^2-19145*n+ 85236)*a(n-9)+(-257*n^2+8791*n-62436)*a(n-10)+(-839*n^2+20431*n-123696)*a(n-11) +(-406*n^2+9410*n-54216)*a(n-12)+(-21*n^2-813*n+14340)*a(n-13)+(102*n^2-3354*n+ 27000)*a(n-14)+10*(n-15)*(5*n-76)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 31, a(8) = 71, a (9) = 163, a(10) = 381, a(11) = 906, a(12) = 2207, a(13) = 5537, a(14) = 14401, a(15) = 39043, a(16) = 110738}, [0, 1, 1, 3, 6, 14, 31, 71, 163, 381, 906, 2207 , 5537, 14401, 39043, 110738, 328796, 1019426, 3284414, 10928987, 37328148, 130147236, 461118935, 1654413089, 5994839725, 21895778274, 80493628410, 297517087704, 1104736154299, 4118424659243, 15407012934078, 57816548983077, 217568124383738, 820793917188676, 3103651247306551, 11760603117928904, 44651193484703667, 169832603675412301, 647051040067221343, 2469087454557603962, 9435630851036460043, 36107911167419691653, 138355015865402542392, 530781762345892317039, 2038618157482137670931, 7838399239185702828311, 30169316852890858015686, 116232389292961593487640, 448219973491146867479539, 1729967495441534417494119], 139691821340779599222361917462099985730329436296207\ 6927691687570429244487733693798501650609581715627407289379107599061775312296722\ 1829224570283888925995444818275369519223759847978788223247825495766156577336942\ 2438576993594410158695831393059553492861272213303648862490812529417950398298967\ 4816944803866184672128528351308419027504627825633368600565757793125686370246146\ 0294478796439979324585055730136062928589194244978402743707798381375808074344214\ 7433344992004039398789052607762203905920125058863688498242010630559599585232537\ 8673711508561488443658658689176086224651471510170689913449465533758825] ---------------------------- (A,B)= , {1}, {2, 3, 4, 5} [P^2*x^11+4*P^2*x^10+8*P^2*x^9-2*P*x^10+12*P^2*x^8-6*P*x^9+16*P^2*x^7-10*P*x^8+ x^9+17*P^2*x^6-14*P*x^7+2*x^8+10*P^2*x^5-18*P*x^6+3*x^7+3*P^2*x^4-13*P*x^5+4*x^ 6-2*P*x^4+5*x^5-3*P^2*x^2-2*P^2*x+4*P*x^2+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^5+x^4+x ^3+x^2+x-1)/((x^6+x^5)*C+x^5+2*x^4+2*x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)* (n-6)*a(n-1)+(-235*n^2+2135*n-3360)*a(n-2)+(242*n^2-2938*n+6936)*a(n-3)+(362*n^ 2-3838*n+8760)*a(n-4)+(-388*n^2+5708*n-18816)*a(n-5)+(-390*n^2+6690*n-24984)*a( n-6)+(-572*n^2+8308*n-29040)*a(n-7)+(-378*n^2-1074*n+31896)*a(n-8)+(1232*n^2-\ 26872*n+136800)*a(n-9)+(2041*n^2-34751*n+140196)*a(n-10)+(1439*n^2-17803*n+ 23328)*a(n-11)+(158*n^2+14696*n-192852)*a(n-12)+(-804*n^2+36576*n-325920)*a(n-\ 13)+(-238*n^2+8936*n-63252)*a(n-14)+(1585*n^2-57257*n+507024)*a(n-15)+(3725*n^2 -131467*n+1147548)*a(n-16)+(5152*n^2-182540*n+1610376)*a(n-17)+(5108*n^2-182392 *n+1626600)*a(n-18)+(3901*n^2-140465*n+1263360)*a(n-19)+(2434*n^2-89138*n+ 813384)*a(n-20)+(1211*n^2-45421*n+423084)*a(n-21)+(418*n^2-16094*n+153384)*a(n-\ 22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5 ) = 12, a(6) = 29, a(7) = 70, a(8) = 170, a(9) = 414, a(10) = 1013, a(11) = 2493, a(12) = 6182, a(13) = 15483, a(14) = 39287, a(15) = 101393, a(16) = 267394, a(17) = 724258, a(18) = 2024819, a(19) = 5866294, a(20) = 17651172, a( 21) = 55150847, a(22) = 178505328, a(23) = 596071099}, [0, 1, 2, 5, 12, 29, 70, 170, 414, 1013, 2493, 6182, 15483, 39287, 101393, 267394, 724258, 2024819, 5866294, 17651172, 55150847, 178505328, 596071099, 2043477872, 7157068761, 25496473615, 92047412299, 335791092399, 1235060246876, 4572401806716, 17017638817204, 63613976099475, 238673782877193, 898316446530641, 3390411629660757, 12827373974500687, 48638098740959786, 184790792783902144, 703356268009794115, 2681633524692654738, 10239977611344986082, 39158628212061401447, 149949041408486989906, 574924830208506993108, 2206971442911127619842, 8481465993555840258760, 32629219764021612201313, 125654871940807967879713, 484357716977211905832413, 1868729896934182923576886], 1490427864723137520303014645463267102452145827531331042941231373668697253062314\ 0313559950246954485369307699128046512612360447011374512357462273940871391246900\ 0874502749032917381125422316157519599323690051709382241513743542761178849489393\ 8500803180549517955569290876020427395488975968589846276432692637013114393553625\ 7963651185930459321087917813698774306362147484170220197339083240666474295150200\ 2770734384567247321893727654753387249074436369758189134122943326951898729618724\ 3167249740434006949479985400415357823542279462877657323273788442818978917131013\ 164657766544266393073421753872819649947145] ---------------------------- (A,B)= , {1}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+4*P^2*x^8+5*P^2*x^7+3*P^2*x^6-P^2*x^5-P^2*x^4+3* P*x^5-2*P^2*x^3+2*P*x^4-2*P^2*x^2+2*P*x^3+2*P*x^2+P^2-2*P+1, -1/(C*x^6+x^5+x^4+ x^3+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-75*n^2+753*n-1236)*a(n-2 )+(-98*n^2+880*n-1512)*a(n-3)+(130*n^2-1610*n+4032)*a(n-4)+(211*n^2-2507*n+6600 )*a(n-5)+(19*n^2-323*n+1128)*a(n-6)+(84*n^2+66*n-4212)*a(n-7)+(-182*n^2+3238*n-\ 13068)*a(n-8)+(-479*n^2+6439*n-20916)*a(n-9)+(-302*n^2+3742*n-11196)*a(n-10)+(-\ 20*n^2-758*n+6432)*a(n-11)+(157*n^2-3887*n+20604)*a(n-12)+(245*n^2-5635*n+29976 )*a(n-13)+(288*n^2-5760*n+28920)*a(n-14)+(210*n^2-4200*n+21228)*a(n-15)+(108*n^ 2-2322*n+12552)*a(n-16)+(45*n^2-1035*n+5964)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5, a(7) = 8, a(8) = 14, a(9) = 25, a(10) = 49, a(11) = 106, a(12) = 259, a(13) = 708, a(14) = 2118, a(15) = 6751, a(16) = 22448, a(17) = 76765, a(18) = 267622}, [0, 1, 1, 2, 3, 5, 8, 14, 25, 49, 106, 259, 708, 2118, 6751, 22448, 76765, 267622, 946141, 3381042, 12186871, 44244104, 161616811, 593526153, 2189986376, 8114611062, 30180923762, 112636260213, 421667074360, 1583033204944, 5958504061189, 22481317419545, 85008904954558, 322103104519190, 1222785975114423, 4650233400513264, 17714020689123286, 67582126577725696, 258212555282919903, 987906613705380060, 3784539259656885602, 14515673880754949780, 55739047571795639186, 214266093246998489346, 824507137751689074823, 3175848760615807047978, 12244150949364682677682, 47247797989123166201397, 182473770459808969761641, 705291229511655229169082], 60047696642070321183939129\ 6481789914835969830942664186761420609539698157176350363004749254838787803645884\ 4418970032386827291106310781148827496131019799057162421394725409079997777399970\ 0378072357129753628036255813086753346255590106427569417625807373622590718678711\ 0224322561358115914324291878836596479588175961955808867630206378947235297426283\ 6453433970928029503362297048932798497800518370054179188194913937179825455099913\ 5641835863417395399973725958423290388968058994262466797267637712208039443108552\ 3837129515595427497344418127259300246218597689662220368627147006916989610041697\ 347600604622027] ---------------------------- (A,B)= , {2}, {} [P^2-3*P+x+2, (C*x-x-1)/(C*x-1), {-n*a(n)+(4*n-6)*a(n-1) = 0, a(1) = 1, a(2) = 1}, [1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420, 24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452, 18367353072152, 69533550916004, 263747951750360, 1002242216651368, 3814986502092304, 14544636039226909, 55534064877048198, 212336130412243110, 812944042149730764, 3116285494907301262, 11959798385860453492, 45950804324621742364, 176733862787006701400, 680425371729975800390, 2622127042276492108820, 10113918591637898134020, 39044429911904443959240, 150853479205085351660700, 583300119592996693088040, 2257117854077248073253720, 8740328711533173390046320, 33868773757191046886429490, 131327898242169365477991900, 509552245179617138054608572], 51229405377425955836\ 2972111801106814506359401696197357133662490663268680890966422168317407249277190\ 1454389110355172645553815612301161892926508373060953630761788426454813208221982\ 2699448537181397640967636703238183128541115224728402812539674240562799863850378\ 8368259307920236258027800099771751391617605088924033394630230806037178021722568\ 6149459455971582278174881316427808815517028766512349295334236903877354174181211\ 6269019867638265619569221251923080418879627237287374638077314111736692848841562\ 6459630446598074332450038402866155063023175006229242447751399777865500335793470\ 023989772130248615305440] ---------------------------- (A,B)= , {2}, {1} [P^2*x^4-2*P^2*x^3+4*P^2*x^2-3*P^2*x-2*P*x^2+P^2+3*P*x-2*P+1, -1/(C*x^2-x^2+x-1 ), {-(n-1)*n*a(n)+(n-1)*(13*n-24)*a(n-1)-12*(n-2)*(5*n-11)*a(n-2)+6*(7*n-16)*(3 *n-8)*a(n-3)+(-135*n^2+705*n-840)*a(n-4)+2*n*(31*n-121)*a(n-5)+(-6*n^2-126*n+ 672)*a(n-6)+(-10*n^2+136*n-432)*a(n-7)+4*(2*n-11)*(n-6)*a(n-8) = 0, a(1) = 1, a (2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 36, a(7) = 106, a(8) = 327}, [1, 1, 2, 5, 13, 36, 106, 327, 1045, 3433, 11529, 39414, 136733, 480180, 1703807, 6099193, 22000823, 79890801, 291808480, 1071403389, 3952020216, 14638293671, 54424065467, 203034222400, 759790586108, 2851348853311, 10728474996286, 40463929597582, 152954346844120, 579360875031653, 2198706838568725, 8359108281762525, 31832900933458770, 121414387352480205, 463767198460804970, 1773894781707379869, 6793896919957722629, 26052030028473231638, 100015329095164501530, 384385629016815344827, 1478831105536752569398, 5695056470981344209128, 21952519511373386671936, 84695039144155916932505, 327039800428485491619329, 1263849346853594929350751, 4887944251701029342021731, 18918148640934696765014662, 73272101566469724180468725, 283983647534388214714032138], 2716559067884306025265354750689893774842105816701\ 5671232441695740532976573203173173495674132394884299744134657474029088218304735\ 6230922871649499617659594029148328728741174806892246467101855519316877966998377\ 7644776280751197274818375125087818631899370573740793761405516981153911153117758\ 4171465561780260269735937265127941779544417631094856831536605186676917359315048\ 4734763133916361607071057010590227341244862519238768730281248218604284185076755\ 9594482737042447155211937565663667893282217221251515879010243535681978756839055\ 40610340112746914925579418530104181876040866930676524056884695559209136547] ---------------------------- (A,B)= , {2}, {2} [P^2*x^3+2*P^2*x^2-2*P*x^3-3*P^2*x-P*x^2+x^3+P^2+4*P*x-2*P-x+1, (C*x^2-1)/(C*x^ 2+x-1), {-n*(n-2)*a(n)+(13*n^2-50*n+36)*a(n-1)+(-62*n^2+340*n-420)*a(n-2)+(134* n^2-937*n+1566)*a(n-3)+(-130*n^2+1145*n-2466)*a(n-4)+(39*n^2-528*n+1656)*a(n-5) +(3*n^2+75*n-570)*a(n-6)+(3*n^2-60*n+276)*a(n-7)+2*(n-8)*(2*n-15)*a(n-8) = 0, a (1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 22, a(7) = 58, a(8) = 163}, [1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547 , 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902, 23270147619699743008876442, 90093831591035950206998211], 82357463909330804674313115368562740897283051795794\ 4237550974624840788328349756578147875485355977686202305160933895834533672743815\ 5196363894430195515444556423287922490411765317109186012765328426039643336604286\ 1270492104227734088812128878359627984193174725382391018847746836173880541332079\ 8972986645123239969367421547007810421537137853822312894845637282612124195156089\ 5707635690970474740004302573499588506007411419224026939664440417936239506584737\ 1793189102574067212476704733263511681807501662953508855042919241503178521407326\ 841887707228176235698861560239121322675026376190683886301318521270485232] ---------------------------- (A,B)= , {2}, {3} [P^2*x^3-2*P*x^4+x^5+6*P^2*x^2-9*P*x^3+4*x^4-5*P^2*x-4*P*x^2+5*x^3+P^2+8*P*x-x^ 2-2*P-3*x+1, ((x^3+x^2)*C+x^2+x-1)/(C*x^2+2*x-1), {-3*n*(n-3)*a(n)+(49*n^2-231* n+176)*a(n-1)+(-318*n^2+2022*n-2688)*a(n-2)+(1031*n^2-8205*n+14896)*a(n-3)+(-\ 1684*n^2+16080*n-36272)*a(n-4)+(1098*n^2-12204*n+32112)*a(n-5)+(170*n^2-2556*n+ 10360)*a(n-6)+(-330*n^2+5454*n-22680)*a(n-7)+(6*n^2-240*n+1680)*a(n-8)+4*(2*n-\ 19)*(n-10)*a(n-9) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 97, a(8) = 276, a(9) = 805}, [1, 1, 2, 5, 13, 35, 97, 276, 805, 2404, 7343, 22916, 72980, 236857, 782275, 2625265, 8938718, 30834165, 107608097 , 379454447, 1350434278, 4845475311, 17512579630, 63703732426, 233063976059, 857067469749, 3166309373615, 11745982220846, 43736933794243, 163409819344676, 612415062653080, 2301627415153461, 8672479097155517, 32755202434296043, 123984146212620561, 470251102237219228, 1786931561888319841, 6802111091955394040, 25935000481117133188, 99035202677825435351, 378714703735090725951, 1450161164914390585861, 5559907771213558938638, 21341984205122852560893, 82014231825056416720796, 315503776035235853259224, 1214944984225803265071151, 4682988152685541482167655, 18066884936114900040405865, 69761879491768621433998564], 5745795992269380943940\ 5632928006766718230746937712435554960262041608051051189735542659849478438346446\ 8219685579304178356530528726554959187765576531052315855381189276320891299236376\ 7679945193516450379563817157611004524452025308392013778495067696813594601352958\ 2741481088080538063183440937127497492414448929327909677106840749698518636168010\ 8273009337239440684720885814785823047604460421448127559954135200817479723576571\ 8827202926621456860361954822842603666421635193761290442578029545068031867531457\ 3454772379743780609302713906587215239180466767760926401234663918507348337907227\ 754183116849281198112] ---------------------------- (A,B)= , {2}, {4} [P^2*x^5-9*P^2*x^3+5*P*x^4+15*P^2*x^2-2*P*x^3+x^4-7*P^2*x-18*P*x^2+6*x^3+P^2+12 *P*x+4*x^2-2*P-5*x+1, (-C*x^2-x^2-2*x+1)/((x^3-x^2)*C+x^2-3*x+1), {-4*n*(n-4)*a (n)+(80*n^2-452*n+360)*a(n-1)+(-670*n^2+4864*n-6840)*a(n-2)+(3035*n^2-26801*n+ 51618)*a(n-3)+(-7987*n^2+82729*n-197658)*a(n-4)+(12086*n^2-142862*n+400680)*a(n -5)+(-9448*n^2+124276*n-392004)*a(n-6)+(2329*n^2-32755*n+106818)*a(n-7)+(1058*n ^2-16634*n+67944)*a(n-8)+(-530*n^2+8756*n-36672)*a(n-9)+(-29*n^2+515*n-2274)*a( n-10)+10*(n-10)*(2*n-21)*a(n-11) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a (5) = 14, a(6) = 41, a(7) = 123, a(8) = 375, a(9) = 1158, a(10) = 3616, a(11) = 11408}, [1, 1, 2, 5, 14, 41, 123, 375, 1158, 3616, 11408, 36344, 116887, 379425 , 1242946, 4108608, 13702559, 46101320, 156443342, 535358524, 1847020480, 6422697809, 22503341559, 79416927946, 282201414414, 1009305302279, 3631928117088, 13144286287248, 47825317194305, 174880024092245, 642437035086245 , 2370188361767701, 8779286888373549, 32638533007332596, 121752229459634305, 455603392106953800, 1709850976435435886, 6434232862104322508, 24272601426303701634, 91777909105927663749, 347768633099630523997, 1320406161293418332928, 5022614444437721823174, 19138279159863124583027, 73042742037287374175002, 279194686821542514498198, 1068690213380866135735911, 4096126734439159230090951, 15719447962188138773586787, 60396521751197338884445161], 42463632313696296441588447806103869299577608153497\ 7265696945987283475676051658164406706089121486554509790708491632077184762150937\ 8396435366479020273698397791920177023761876097565777653539069797626903364411802\ 5906347138781226503069643230222361434193643610912805855840710931859455610828253\ 1096445501125586210163187737988001068112255019255925015253535495953651026914437\ 0633353246309591207086329563619083213494967753687382233125915990844568249033923\ 6027946385200677013945405620686550650605110118305924976235292798230735681378796\ 704310603625963046031288872683559728061836681727242065571003861679445444] ---------------------------- (A,B)= , {2}, {5} [4*P^2*x^5-4*P*x^6+x^7+11*P^2*x^4-13*P*x^5+4*x^6-34*P^2*x^3+16*P*x^4+28*P^2*x^2 +26*P*x^3-12*x^4-9*P^2*x-40*P*x^2+x^3+P^2+16*P*x+13*x^2-2*P-7*x+1, ((x^4+x^3-x^ 2)*C+x^3-3*x+1)/((2*x^3-x^2)*C+3*x^2-4*x+1), {-5*n*(n-5)*a(n)+(119*n^2-787*n+ 648)*a(n-1)+(-1226*n^2+10054*n-14784)*a(n-2)+(7144*n^2-69734*n+141144)*a(n-3)+( -25775*n^2+291073*n-733128)*a(n-4)+(59044*n^2-755180*n+2242752)*a(n-5)+(-83913* n^2+1194891*n-4039692)*a(n-6)+(66819*n^2-1041777*n+3888876)*a(n-7)+(-18890*n^2+ 308032*n-1161120)*a(n-8)+(-9518*n^2+195550*n-1032168)*a(n-9)+(6661*n^2-147311*n +822948)*a(n-10)+(-420*n^2+14382*n-112968)*a(n-11)+(-80*n^2+1456*n-5424)*a(n-12 )+32*(2*n-27)*(n-14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 14, a(6) = 42, a(7) = 131, a(8) = 418, a(9) = 1353, a(10) = 4423, a(11) = 14568, a(12) = 48280, a(13) = 160872}, [1, 1, 2, 5, 14, 42, 131, 418, 1353, 4423, 14568, 48280, 160872, 538685, 1812191, 6123631, 20782695, 70836070, 242466683, 833467552, 2877157900, 9974226986, 34724685439, 121406810839, 426278478865, 1503093903193, 5322477108290, 18926241869271, 67580379602660, 242303623062953, 872276524844801, 3152608968407976, 11438505611967418, 41658987816653905, 152279424091775370, 558619530516786566, 2056268124281554911, 7594097859630318502, 28135063808496170674, 104552961942487462042, 389657056077668259551, 1456222389231035932025, 5456493349941828421167, 20496664183833830454779, 77175710997094175086346, 291240628260946913181321, 1101399930865589193449770, 4173591110874956120178709, 15845237296012016817071513, 60265132573773616513680070], 3274325169023125670510\ 3620256466456034122493039006666963516925878660244570915402690135512619480730455\ 4567777409128465204566104217437405367997897025215802463341146311235402777153574\ 9120096603549212110488127753906652072946504920322014448537082305364579142846226\ 8413140142745813325331718980441329753380473814031833936337081860657259478287868\ 2665453843092493751821490155245598155408080996308692249793868437080893850226292\ 4692928515497194300428441533723405179415647097726772366706797626942486336879400\ 8824206869064236015873460606126949664153512774756050728764124887205279458464722\ 527030856676509382412] ---------------------------- (A,B)= , {2}, {1, 2} [P^2*x^5+P^2*x^3-2*P^2*x+P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^3+x-1), {-2*n*(n-2)*a(n )+(23*n-22)*(n-3)*a(n-1)+(-88*n^2+500*n-624)*a(n-2)+(121*n^2-881*n+1482)*a(n-3) +(-23*n^2+301*n-774)*a(n-4)+(-60*n^2+438*n-804)*a(n-5)+(42*n^2-300*n+564)*a(n-6 )+(-46*n^2+284*n-336)*a(n-7)+(23*n^2-217*n+498)*a(n-8)+2*(n-6)*(2*n-13)*a(n-9) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 18, a(7) = 45, a( 8) = 122, a(9) = 354}, [1, 1, 2, 4, 8, 18, 45, 122, 354, 1084, 3458, 11379, 38348, 131670, 458889, 1618872, 5769135, 20735878, 75078884, 273574534, 1002433018, 3691281207, 13652372422, 50693499962, 188904707823, 706214223856, 2647947813867, 9955284948941, 37521015246216, 141738728886746, 536563910351055, 2035201074293395, 7733694636843407, 29437940387316452, 112233005848500961, 428531883562050570, 1638534667812222057, 6273388130046401008, 24048604822003888486, 92297246294968796318, 354626435363335842458, 1363991102966831374763, 5251538613785139661020, 20238320779022837725116, 78064783120688319238391, 301376880397313514634004, 1164451568505634053256169, 4502704669354042720866647, 17424122849064922479420494, 67474503103694569472775918], 62246658593142010169795611041655457621908455055117\ 6497880799659573769285223128980827073518714135270392345849751636768423640301690\ 6093293144377611727352189003203467137255824578550520994706739911177644252059926\ 7205655045895572346289830562003471726756283277501406294958576571853593255569353\ 9333679647413531217655027321942880898984381819001184147131155564307214749367022\ 5956889373244976633590575865511904431275637530176464011411093243940205749536686\ 4260911265736714377282626780394266236518042017514891340432116148420242672134574\ 181271727609776306346643687990287171249859757642772031036959149732655837] ---------------------------- (A,B)= , {2}, {1, 3} [P^2*x^7-P^2*x^5+7*P^2*x^4-2*P*x^5-9*P^2*x^3-2*P*x^4+9*P^2*x^2+5*P*x^3-5*P^2*x-\ 10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/((x^4-x^3+x^2)*C+x^3-x^2+2* x-1), {-3*n*(n-3)*a(n)+(49*n^2-231*n+176)*a(n-1)+(-330*n^2+2076*n-2748)*a(n-2)+ (1208*n^2-9330*n+16684)*a(n-3)+(-2698*n^2+24252*n-52820)*a(n-4)+(3964*n^2-39810 *n+99092)*a(n-5)+(-4057*n^2+44457*n-121796)*a(n-6)+(2914*n^2-35472*n+108860)*a( n-7)+(-1362*n^2+20034*n-75696)*a(n-8)+(373*n^2-8457*n+44420)*a(n-9)+(-64*n^2+ 3756*n-27080)*a(n-10)+(50*n^2-2226*n+16192)*a(n-11)+(-8*n^2+276*n-1936)*a(n-12) -6*(n-9)*(n-12)*a(n-13)+12*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3 ) = 2, a(4) = 5, a(5) = 12, a(6) = 29, a(7) = 73, a(8) = 192, a(9) = 526, a(10) = 1498, a(11) = 4426, a(12) = 13529, a(13) = 42636, a(14) = 138016}, [1, 1, 2, 5, 12, 29, 73, 192, 526, 1498, 4426, 13529, 42636, 138016, 457227, 1544924, 5308200, 18498265, 65240584, 232450128, 835464067, 3025436257, 11027588277, 40425093583, 148938070149, 551187536315, 2047980374321, 7636777292564, 28569530488501, 107195430978137, 403290826865741, 1521010582928565, 5749535444642499, 21779339454006604, 82661132419459909, 314299138105948083, 1197062751292356715, 4566406615872851303, 17445076457528738765, 66737903522512876854, 255645373901888583950, 980474844019355316034, 3764768930687436748561, 14471589153705121506941, 55685871459744192713883, 214487281592775117336182, 826921700840294082678385, 3190903932078038482495298, 12323417755331246214844109, 47632087538429335800526696], 4068450362052385238863\ 9422833857233511201085801996507363425185940044351783841073225669225239098553743\ 1463894660791078874027930723194847544208423429962179864810011583313345924529259\ 0239450479660657381802220448361638092544076423659252255502847988134464351856676\ 3357818598637207901451189291940587411219306888834589218437113125528320670646477\ 5963114662028330102868879803070078425741496899717097486505713451044857228164141\ 0215178101414062811021724865161536524491430359737008246363057235265860451288018\ 5305087110050047904522694866782691842388632628346762559371935431550826569708188\ 508155692121325709821] ---------------------------- (A,B)= , {2}, {1, 4} [P^2*x^6-4*P^2*x^5+11*P^2*x^4-18*P^2*x^3-3*P*x^4+17*P^2*x^2+12*P*x^3-7*P^2*x-22 *P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^3-x^2)*C-x^3+2*x^2-3* x+1), {4*n*(n-4)*a(n)+(-80*n^2+452*n-360)*a(n-1)+(682*n^2-4936*n+6936)*a(n-2)+( -3246*n^2+28440*n-54624)*a(n-3)+(9510*n^2-97116*n+230664)*a(n-4)+(-17915*n^2+ 207149*n-575502)*a(n-5)+(22223*n^2-283865*n+887886)*a(n-6)+(-18575*n^2+256703*n -878418)*a(n-7)+(10760*n^2-158732*n+583704)*a(n-8)+(-4373*n^2+68375*n-267498)*a (n-9)+(1220*n^2-20318*n+84684)*a(n-10)-3*(n-9)*(65*n-602)*a(n-11)+6*(n-10)*(2*n -21)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 97, a(8) = 275, a(9) = 795, a(10) = 2340, a(11) = 7007, a(12) = 21336}, [1, 1, 2, 5, 13, 35, 97, 275, 795, 2340, 7007, 21336, 66041, 207728, 663731, 2153257, 7088374, 23661127, 80022427, 273964776, 948607312, 3318826310, 11721773971, 41757381378, 149915662384, 542005726822, 1971976439917, 7215516334423, 26537257557809, 98050389812546, 363792363702652, 1354869326416041, 5063250326105267, 18980857722922083, 71357331195209287, 268963435460332924, 1016218853148221856, 3848030358163765674, 14600707421480592470, 55504511390149678403, 211369987424701594448, 806244334288970167195, 3080003742555785301073, 11782962834388720907423, 45137548753218051934264, 173127746806690126527235, 664827225954642963863540, 2555849422189437123614681, 9836021487520148977252572, 37891080173986325257145915], 28726968176107081458958865012421358340130297792052\ 5043476467001366333907796100357547552497588094207644765371105069895121347493060\ 9753456116155543943765066979858488201723634944583344357194658665087780928942142\ 7662582098465340009869711616285729292194736634039111564363617714086675249831862\ 3077197859022783396863201219809433790031434052652745797355377845147504897693489\ 0410069925832318631934846562380764442607818409689108170606340781924681037923187\ 1260641430566277195419332364450609718208652772407304413388752752707628602609140\ 408329620971702244920073954884902946335085726488138498401725666160136225] ---------------------------- (A,B)= , {2}, {1, 5} [P^2*x^9-2*P^2*x^7+14*P^2*x^6-2*P*x^7-31*P^2*x^5+45*P^2*x^4+11*P*x^5-48*P^2*x^3 -28*P*x^4+x^5+30*P^2*x^2+50*P*x^3-9*P^2*x-44*P*x^2-9*x^3+P^2+16*P*x+15*x^2-2*P-\ 7*x+1, ((x^3-x^2)*C+x^2-3*x+1)/((x^5-x^4+2*x^3-x^2)*C+x^4-2*x^3+4*x^2-4*x+1), { -5*n*(n-5)*a(n)+(119*n^2-787*n+648)*a(n-1)+(-1242*n^2+10170*n-14952)*a(n-2)+( 7492*n^2-72830*n+147264)*a(n-3)+(-29035*n^2+325253*n-817032)*a(n-4)+(76277*n^2-\ 962173*n+2842032)*a(n-5)+(-140525*n^2+1957579*n-6559188)*a(n-6)+(186939*n^2-\ 2826915*n+10461492)*a(n-7)+(-185128*n^2+2997086*n-12004416)*a(n-8)+(139681*n^2-\ 2404865*n+10310832)*a(n-9)+(-79865*n^2+1470847*n-6779892)*a(n-10)+(33145*n^2-\ 669539*n+3406092)*a(n-11)+(-9148*n^2+219494*n-1316232)*a(n-12)+(1156*n^2-49244* n+412776)*a(n-13)+(108*n^2+9252*n-128016)*a(n-14)+(17*n^2-3559*n+43380)*a(n-15) +(-2*n^2+334*n-4200)*a(n-16)-2*(7*n-92)*(n-15)*a(n-17)+12*(2*n-29)*(n-16)*a(n-\ 18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 36, a(7) = 105, a(8) = 316, a(9) = 970, a(10) = 3020, a(11) = 9508, a(12) = 30219, a(13) = 96863, a(14) = 312954, a(15) = 1018846, a(16) = 3341662, a(17) = 11040722, a(18 ) = 36744061}, [1, 1, 2, 5, 13, 36, 105, 316, 970, 3020, 9508, 30219, 96863, 312954, 1018846, 3341662, 11040722, 36744061, 123172405, 415871209, 1414169381, 4842958467, 16701115523, 57989840579, 202704487251, 713182060371, 2525060681586 , 8994477777809, 32225715624216, 116100700828771, 420485905570051, 1530483368443395, 5596829472346355, 20557425991970749, 75820765389076248, 280726737968963964, 1043142826114269386, 3889213622453575312, 14545792388242480718, 54560232243819245875, 205206053274841898718, 773744030149371012739, 2924298486436523085612, 11076260480663135474241, 42038479961034365748094, 159854071105980132260615, 608931642336262979677058, 2323439097230278215594323, 8879036722948700590825663, 33980511964576852261284472], 21415341690647633624833207209268995766038304816222\ 1364088811998490879976072341921946315594274704230295948178501204427179245723663\ 2218593652067333842569430054110738072355470671757416628853450755378401584856749\ 3694688508653752422802900403818930704677240595545681874108347963198846137651125\ 5136955212018178732172926327420591133628137504590803202790337519680440676677354\ 6032445611368675170376235789201094441812092669569137252305698749114608689643519\ 4997955848512217850681395589236152457592738283758404984724256276229784034044666\ 957431246242021531698988304976118353815181140989201158578997150189564358] ---------------------------- (A,B)= , {2}, {2, 3} [P^2*x^5+2*P^2*x^4-2*P*x^5+3*P^2*x^3-4*P*x^4+x^5-2*P^2*x^2-3*P*x^3+2*x^4-2*P^2* x+6*P*x^2+P^2+2*P*x-3*x^2-2*P+1, (C*x^3+x^2-1)/(C*x^3+x^2+x-1), {-3*n*(n-3)*a(n )+2*(17*n-16)*(n-4)*a(n-1)-11*(11*n-20)*(n-5)*a(n-2)+(87*n^2-837*n+1512)*a(n-3) +(277*n^2-2409*n+5432)*a(n-4)+(-356*n^2+3954*n-10996)*a(n-5)+(-192*n^2+2034*n-\ 5208)*a(n-6)+(244*n^2-3966*n+15716)*a(n-7)+(46*n^2+66*n-3712)*a(n-8)+(-9*n^2+ 675*n-5232)*a(n-9)+(54*n^2-1314*n+7776)*a(n-10)+10*(n-11)*(5*n-56)*a(n-11)+12*( n-12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a (6) = 17, a(7) = 38, a(8) = 90, a(9) = 227, a(10) = 610, a(11) = 1740, a(12) = 5231}, [1, 1, 2, 4, 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412 , 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621, 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881, 21251652820815936901293000], 18708168091189010993914\ 8135649577368391614441217603533634725407719089545782877599211114407096526076058\ 6513234016776925523168655354615593581819668063417687413152298093068736380673981\ 2578573626391467516776551827135089134017451985442884132709448278723058817721593\ 9701878709766457286143490061430269890972199698366411961870115016774022599210654\ 6616507472715301073307819133122433361311133929925045281547060509474060587581344\ 7513997261612575399649318029506561812554586970930146801247511320270710538092770\ 9857882709580010321200176635270837074571026466673576705413751782685547993043591\ 87573879728806991965] ---------------------------- (A,B)= , {2}, {2, 4} [P^2*x^5-2*P^2*x^4-P^2*x^3+3*P*x^4+7*P^2*x^2-6*P*x^3+x^4-5*P^2*x-6*P*x^2+4*x^3+ P^2+8*P*x-2*P-3*x+1, (-C*x^2-x^2-x+1)/((x^3-x^2)*C-2*x+1), {-4*n*(n-4)*a(n)+(66 *n^2-378*n+300)*a(n-1)+(-440*n^2+3242*n-4548)*a(n-2)+(1511*n^2-13505*n+25914)*a (n-3)+(-2777*n^2+29039*n-68862)*a(n-4)+(2386*n^2-28522*n+78504)*a(n-5)+(-108*n^ 2+1740*n-2700)*a(n-6)+(-1227*n^2+17217*n-62334)*a(n-7)+(614*n^2-8798*n+31848)*a (n-8)+(48*n^2-1110*n+5868)*a(n-9)-9*(n-9)*(11*n-102)*a(n-10)+6*(n-10)*(2*n-21)* a(n-11) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 21, a(7) = 51, a(8) = 128, a(9) = 332, a(10) = 890, a(11) = 2467}, [1, 1, 2, 4, 9, 21, 51, 128, 332, 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893 , 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794, 15089579257931496563545286], 12248653325369132664223334809422170867677404255378\ 2025092110362649680370655540327243865839339192915284579092607436998126759764329\ 6612680884236902943698236067245552731535257861558892557757970647500617318181040\ 2752016984495687628823550242646461551051639841775001235116210843015296793922599\ 0607241515927821613684578650517354233179293359500040397810437958069274322095779\ 1008478127949256088923576248692824805178483435239246511885424674277095970547790\ 1284424911534915755290104877228465226764319270525983416767441689870179452431123\ 498049437560337525184020285060217486381666539848211143427426297974977923] ---------------------------- (A,B)= , {2}, {2, 5} [P^2*x^7+4*P^2*x^6-2*P*x^7+3*P^2*x^5-6*P*x^6+x^7-10*P^2*x^4+3*P*x^5+2*x^6-6*P^2 *x^3+22*P*x^4-5*x^5+15*P^2*x^2-8*P*x^3-6*x^4-7*P^2*x-18*P*x^2+9*x^3+P^2+12*P*x+ 4*x^2-2*P-5*x+1, ((x^4-x^2)*C+x^3-x^2-2*x+1)/((x^4+x^3-x^2)*C+x^3+x^2-3*x+1), { -5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+(-856*n^2+7094*n-10404)*a(n-2)+(3911 *n^2-38653*n+78084)*a(n-3)+(-10158*n^2+116496*n-292812)*a(n-4)+(13786*n^2-\ 180422*n+532968)*a(n-5)+(-4741*n^2+72089*n-229056)*a(n-6)+(-10654*n^2+169304*n-\ 687492)*a(n-7)+(10592*n^2-193960*n+883080)*a(n-8)+(2060*n^2-25222*n+58116)*a(n-\ 9)+(-4470*n^2+89946*n-452016)*a(n-10)+(-369*n^2-627*n+52488)*a(n-11)+(530*n^2-\ 10246*n+44520)*a(n-12)+(38*n^2+1262*n-22680)*a(n-13)+(108*n^2-3156*n+23136)*a(n -14)+(106*n^2-3194*n+24048)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 1, a (2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 22, a(7) = 57, a(8) = 154, a(9) = 429, a(10) = 1224, a(11) = 3563, a(12) = 10559, a(13) = 31819, a(14) = 97436, a (15) = 303071, a(16) = 957243}, [1, 1, 2, 4, 9, 22, 57, 154, 429, 1224, 3563, 10559, 31819, 97436, 303071, 957243, 3069075, 9984422, 32941754, 110156492, 373079812, 1278724450, 4431688443, 15516802818, 54840480177, 195480007389, 702198168336, 2540097497458, 9246498530244, 33850900140822, 124562017355961, 460474583592852, 1709371196700818, 6369506596558392, 23815609325123664, 89324289694554085, 335977752850265854, 1267008137385093982, 4789422151612403024 , 18144252231148972798, 68876940378596572617, 261952165825673090239, 997987334615151752363, 3808294605533813927184, 14554302536542119648365, 55701274128799764144116, 213458431913236298970108, 819032455039626187559624, 3146276070601256239493551, 12099615047608436225004151], 86587874419844602719534\ 3913552536783723027893537350237545763562086496181007717704971645028844366379699\ 3407142859584603354980628959353224812408348378294228606400112342094892666067522\ 0859706392775308991534407108653374543011733179564103477348920561916411247126359\ 8329039182558534061601393101028356210669197631536931738306102661115808538358622\ 4911664872303226799613219764796146203152428349056523404351204035954620335828757\ 9267909602367195920586217893716455436172974052144780228713365700176987448061448\ 2494602108963874271353524990744266005493487836314483085452045310868112885497349\ 5367603451386433317] ---------------------------- (A,B)= , {2}, {3, 4} [P^2*x^5-2*P*x^6+x^7+2*P^2*x^4-6*P*x^5+4*x^6+6*P^2*x^3-13*P*x^4+8*x^5+P^2*x^2-\ 10*P*x^3+9*x^4-4*P^2*x+4*P*x^2+2*x^3+P^2+6*P*x-4*x^2-2*P-2*x+1, ((x^4+x^3)*C+x^ 3+2*x^2+x-1)/(C*x^3+x^2+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-\ 322*n^2+2422*n-3396)*a(n-2)+(730*n^2-6796*n+13044)*a(n-3)+(-274*n^2+3430*n-7716 )*a(n-4)+(-1291*n^2+15343*n-45606)*a(n-5)+(991*n^2-13933*n+47238)*a(n-6)+(1066* n^2-17158*n+69228)*a(n-7)+(-321*n^2+7161*n-36666)*a(n-8)+(-572*n^2+12380*n-\ 67056)*a(n-9)+(-156*n^2+2604*n-10176)*a(n-10)+(96*n^2-2868*n+20568)*a(n-11)+(58 *n^2-1498*n+9684)*a(n-12)+12*(2*n-25)*(n-14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a (3) = 2, a(4) = 5, a(5) = 13, a(6) = 34, a(7) = 90, a(8) = 241, a(9) = 653, a( 10) = 1792, a(11) = 4987, a(12) = 14095, a(13) = 40524}, [1, 1, 2, 5, 13, 34, 90, 241, 653, 1792, 4987, 14095, 40524, 118704, 354752, 1082769, 3376969, 10761563, 35018901, 116226782, 392839812, 1349763755, 4705693851, 16615763502, 59320991641, 213807939654, 776937598146, 2843138895879, 10467416747986, 38739912037692, 144033067963714, 537658194855348, 2014130218590035, 7568959247550506, 28523938056607085, 107767298248890123, 408099645698663151, 1548671737904672034, 5888310723215650335, 22428200241118864331, 85568291610046011852, 326960463062885016212, 1251112928797451595706, 4793762162991167716893, 18390735203605190395379, 70636930452546966380131, 271609657219882324575403, 1045472129155656754180415, 4028182163710258038445860, 15535051840334630402248686], 12261022604188812084555808889627635905009551727516\ 0561095318912833320598483741113751400037463155273225858724434730780247442940785\ 6028957707655033681169348620960747986756451361468036896564978823025125450602113\ 9754580540482810919085626396984817622056411166511605172303213286396209405901638\ 5296810412295930912981940144529990817696008990257138229546218152806839176386819\ 8278437335620464270144907242586921205630998324250646729063311289484470788422351\ 0325494701074329556698798105326487631209424698617727844073326555166635645700451\ 161431876584130583231605562533365547461093886363310543399509790689849823] ---------------------------- (A,B)= , {2}, {3, 5} [4*P^2*x^5-4*P*x^6+x^7-P^2*x^4-3*P*x^5+2*x^6-12*P^2*x^3+12*P*x^4-2*x^5+16*P^2*x ^2+2*P*x^3-4*x^4-7*P^2*x-20*P*x^2+5*x^3+P^2+12*P*x+5*x^2-2*P-5*x+1, ((x^4+x^3-x ^2)*C-x^2-2*x+1)/((2*x^3-x^2)*C+x^2-3*x+1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552 )*a(n-1)+(-864*n^2+7152*n-10488)*a(n-2)+(4064*n^2-40018*n+80784)*a(n-3)+(-11369 *n^2+129295*n-324360)*a(n-4)+(18866*n^2-242482*n+714672)*a(n-5)+(-16605*n^2+ 237171*n-787788)*a(n-6)+(3495*n^2-54657*n+179580)*a(n-7)+(6156*n^2-105486*n+ 466320)*a(n-8)+(-4552*n^2+86180*n-414960)*a(n-9)+(315*n^2-9261*n+66204)*a(n-10) +2*(214*n-1511)*(n-12)*a(n-11)+(-112*n^2+2816*n-17712)*a(n-12)+32*(2*n-27)*(n-\ 14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 96, a(8) = 267, a(9) = 751, a(10) = 2134, a(11) = 6124, a(12) = 17751, a (13) = 51993}, [1, 1, 2, 5, 13, 35, 96, 267, 751, 2134, 6124, 17751, 51993, 153983, 461455, 1400424, 4307259, 13435512, 42525951, 136629617, 445618655, 1475132271, 4954011514, 16867552635, 58176634850, 203060518029, 716527849673, 2553380347666, 9179709093202, 33262470411787, 121368743742278, 445592810746904, 1644899158911866, 6101525651129273, 22729967823024401, 84999258587914927, 318940796715716508, 1200413047372199543, 4530489682839662216, 17141132011956589007, 65000274983999280171, 246994137137135270680, 940327786177410086516, 3586144644923302278327, 13698558699936326536726, 52404650094388000600858, 200755617030081174096130, 770066885511714233391397, 2957441586558685324496113, 11370998876971983013905993], 81256750461300350310011\ 7714631012577941062732162900020119308907598269093178797002080508838953064566775\ 4705946612834487661063288611012648326720833877442253835607729630326619390493564\ 2371228992675347333683534288662226550722458434095516926883424837988283873351494\ 0799048492911408440370874802465967482954186478506619732064295521925096986377257\ 0821308546886900364777203546418880786868522840260341600871390281505490223780197\ 5834932680179660582707454201370359925643999677043156636490689801481113076331137\ 4873189309759974621754273938980062965676544473571354327766742724580969803008180\ 0760924437447529517] ---------------------------- (A,B)= , {2}, {4, 5} [P^2*x^7+2*P*x^6-9*P^2*x^4+5*P*x^5+6*P^2*x^3+4*P*x^4+x^5+8*P^2*x^2-20*P*x^3+6*x ^4-6*P^2*x-6*P*x^2+10*x^3+P^2+10*P*x-x^2-2*P-4*x+1, (-C*x^3-2*x^2-2*x+1)/((x^4- x^3)*C+x^3-3*x+1), {5*n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+(679*n^2-5681*n+ 8316)*a(n-2)+(-2486*n^2+24946*n-50304)*a(n-3)+(4213*n^2-49637*n+124104)*a(n-4)+ (-680*n^2+11752*n-30432)*a(n-5)+(-7585*n^2+106295*n-370932)*a(n-6)+(7269*n^2-\ 112155*n+424920)*a(n-7)+(2412*n^2-46500*n+220584)*a(n-8)+(-4021*n^2+79211*n-\ 382884)*a(n-9)+(-132*n^2-708*n+16512)*a(n-10)+(268*n^2-6710*n+42168)*a(n-11)+( 348*n^2-5808*n+21864)*a(n-12)+(-42*n^2+894*n-4728)*a(n-13)-2*(n-12)*(13*n-164)* a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 14, a(6) = 41, a(7) = 122, a(8) = 366, a(9) = 1104, a(10) = 3345, a(11) = 10177, a(12) = 31090, a(13) = 95378, a(14) = 293899, a(15) = 909919}, [1, 1, 2, 5, 14, 41, 122, 366, 1104, 3345, 10177, 31090, 95378, 293899, 909919, 2831556, 8860433, 27893562, 88389653, 282089890, 907205587, 2941666293, 9622133833, 31763826409, 105860109943, 356267972792, 1210927380381, 4156709636026, 14408089873200, 50415991637325, 178019502020666, 634012419472639 , 2276272642648568, 8233700437092204, 29988207989730182, 109908698773224907, 405124999930381458, 1501010510766965768, 5587206862419735611, 20884253147266505133, 78355977713482993482, 294977504703020921384, 1113837445014288687606, 4217355782293141659811, 16007698266066970705674, 60895656045712219495585, 232125786795597931186593, 886465558786317242824891, 3391040908173831757573474, 12992013444538257395582857], 86740587785530410399133\ 5822492112537405420223166612111688435084947217875249938412883242068566485213509\ 0064574413767909936122588695313134351510930808971362415537505530214195232022478\ 0080764285630862584213037539130534974188253172600981663362285465954118090242492\ 3746935365885990822354486925032827235941953517884246339673465148046921146556078\ 1202939899274524353697572645038401136541097053020223965195112945087537442215387\ 5118278536872400918451263509461766414090179052296242248823399199654174301979386\ 3089601984104987929071810761719924979700955678753032389260126454138911288335309\ 4173051617826067583] ---------------------------- (A,B)= , {2}, {1, 2, 3} [P^2*x^7+2*P^2*x^6+3*P^2*x^4-3*P^2*x^3+P^2*x^2+3*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^4+x^3+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)+(-133*n^2+879*n-\ 1160)*a(n-2)+(225*n^2-1737*n+2976)*a(n-3)+(-250*n^2+1932*n-3536)*a(n-4)+(364*n^ 2-2868*n+5288)*a(n-5)+(-375*n^2+3429*n-7632)*a(n-6)+(194*n^2-1884*n+4696)*a(n-7 )+(-165*n^2+1719*n-4632)*a(n-8)+(42*n^2-864*n+3624)*a(n-9)+(34*n^2-330*n+704)*a (n-10)+3*(n-8)*(7*n-61)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 27, a(8) = 61, a(9) = 150, a (10) = 403, a(11) = 1169, a(12) = 3599}, [1, 1, 2, 4, 7, 13, 27, 61, 150, 403, 1169, 3599, 11583, 38512, 131156, 454808, 1599406, 5688009, 20415648, 73846144, 268886415, 984707531, 3624429705, 13400417688, 49743616734, 185320438006, 692673217903, 2596721440785, 9761212961994, 36784690629965, 138940976231430, 525918303654136, 1994637613858311, 7578926166859712, 28846663593991367, 109971293234561821, 419870252303286763, 1605325688219597732, 6145925314433550567, 23558867713766553985, 90413708492115390228, 347375421686049671367, 1336051622010117627803, 5143788865316981719561, 19822432663526460089890, 76458271313870619630230, 295166414614522725772103, 1140425444350935745380041, 4409690365449923031935746, 17063784798631395945896465], 15252075336337395324193628415535711454286980823254\ 2335018448355909761379520884513521092650467757162098367111690911632281166833513\ 7167317878833740934723432633921271384402850530504145899816362629260328453760837\ 0460962030903490402033500418896698196516446243886551237095968907556954712040906\ 9597068408479935229555857648940908498393302063893288888775799653746547470252661\ 8642264931494534278529036400012836094257039424944022704348700907480073077559002\ 8742352709958764234799412025555519429029731939301832811071890402949910293695962\ 248071120419556501079500459047645842496056224872653229775831055829162758] ---------------------------- (A,B)= , {2}, {1, 2, 4} [P^2*x^6-2*P^2*x^5+5*P^2*x^4-8*P^2*x^3-P*x^4+9*P^2*x^2+4*P*x^3-5*P^2*x-10*P*x^2 +x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^3-x^2)*C-x^3+x^2-2*x+1), {4*n* (n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(452*n^2-3314*n+4644)*a(n-2)+(-1692*n^2+ 14922*n-28524)*a(n-3)+(3862*n^2-39352*n+92592)*a(n-4)+(-5719*n^2+65269*n-178206 )*a(n-5)+(5783*n^2-71957*n+218646)*a(n-6)+(-4219*n^2+56023*n-183858)*a(n-7)+( 2346*n^2-32754*n+113916)*a(n-8)+(-1033*n^2+15079*n-54906)*a(n-9)+(338*n^2-5336* n+20952)*a(n-10)+(-57*n^2+1023*n-4578)*a(n-11)+2*(n-10)*(2*n-21)*a(n-12) = 0, a (1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 38, a(8) = 89, a(9) = 219, a(10) = 567, a(11) = 1544, a(12) = 4412}, [1, 1, 2, 4, 8, 17, 38, 89, 219, 567, 1544, 4412, 13175, 40895, 131187, 432527, 1458529, 5009761, 17469380, 61680972, 220057420, 791993908, 2871753329, 10480068162, 38460237997, 141839334507, 525382803249, 1953652695248, 7290224263389, 27290499622454, 102455358790677, 385658305170166, 1455196046735031, 5503114871839705, 20854076863065012, 79177883573982942, 301154590971969940, 1147349907439867799, 4378005978574823154, 16729718569582741970, 64016865421544748520, 245278093895870010409, 940913807360149602413, 3613586556042047775593, 13893057411465211566526, 53469150646260879508642, 205983329173927766868693, 794260845290712153275047, 3065328560898692481830317, 11840106459381307215693675 ], 9836262427798581485208248513645535651090233283953527118382649427471048321522\ 9783029277039152285217110351167772586425837109808613405417187796578811358708594\ 4065003795103782584414774238989997396275886698420281171912534556912019322213449\ 5817764251750282809909302817315418383292438441360246162080019460275414877885638\ 1288200511301380578081487619380350298470034470133092951334257053969379834231052\ 6583751713013810779920577412975648994430972326474201906418514684682709487097006\ 7483379155120451465971429067626703098228231099361418437094304521062705798679732\ 267866315956164851414446514628645098251804839] ---------------------------- (A,B)= , {2}, {1, 2, 5} [P^2*x^9+2*P^2*x^8-P^2*x^7+6*P^2*x^6-14*P^2*x^5+2*P*x^6+14*P^2*x^4+7*P*x^5-18*P ^2*x^3-6*P*x^4+17*P^2*x^2+12*P*x^3-7*P^2*x-22*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5* x+1, (-C*x^2-2*x+1)/((x^5+x^3-x^2)*C+x^4-x^3+2*x^2-3*x+1), {5*n*(n-5)*a(n)+(-\ 101*n^2+673*n-552)*a(n-1)+(872*n^2-7210*n+10572)*a(n-2)+(-4217*n^2+41383*n-\ 83484)*a(n-3)+(12620*n^2-142378*n+356364)*a(n-4)+(-24613*n^2+310625*n-909576)*a (n-5)+(32973*n^2-452097*n+1480872)*a(n-6)+(-33441*n^2+483303*n-1701096)*a(n-7)+ (28890*n^2-436572*n+1623792)*a(n-8)+(-20864*n^2+336832*n-1351548)*a(n-9)+(11324 *n^2-196996*n+864720)*a(n-10)+(-5222*n^2+96856*n-457596)*a(n-11)+(2062*n^2-\ 43550*n+229680)*a(n-12)+(-209*n^2+8509*n-64872)*a(n-13)+(-28*n^2-598*n+9912)*a( n-14)+(4*n^2+160*n-2448)*a(n-15)+(-18*n^2+396*n-2112)*a(n-16)+4*(2*n-27)*(n-14) *a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 18, a(7) = 44, a(8) = 113, a(9) = 302, a(10) = 834, a(11) = 2367, a(12) = 6883, a(13) = 20471, a(14) = 62196, a(15) = 192854, a(16) = 609724, a(17) = 1963547}, [1, 1, 2, 4, 8, 18, 44, 113, 302, 834, 2367, 6883, 20471, 62196, 192854, 609724, 1963547, 6433854, 21423888, 72404966, 248036608, 860164837, 3015985763, 10679608785, 38150244500, 137352593940, 497966636954, 1816589417796, 6663706272991, 24565364495512, 90961390152743, 338161541177226, 1261700204180872, 4722870563335500, 17731497136825880, 66751608817910271, 251916228318162078, 952887074342234557, 3611939428263940237, 13717807514722721561, 52193102808428906138, 198916622561888951863, 759293285198730060180, 2902581332034794421251, 11111064586036544634251, 42587993760932424810079, 163435350079987416258088, 627916762241897424167638, 2415060038577578316103038, 9298188503460077621866262], 688275176921782334440761\ 5100699874935669356667424234282041715319941922982516211989425102240216612329375\ 1164362090092547689270036285232239582512116785734834030487022023511267453643944\ 1781389453209542401203935937787589124142249091984349405390436519388798045548954\ 9184162798836916362389217115728935432238229859323554711017424274315355163021458\ 2448440070920636785344267179744644311515591811107630926703639147225952056724342\ 4555159023202561068012826754438685801802855067836467477648747493686306807241277\ 4256674958506743913757055400514184129283264740437813122022065829386692192311921\ 122850621351254037] ---------------------------- (A,B)= , {2}, {1, 3, 4} [P^2*x^9+2*P^2*x^7-P^2*x^6-2*P*x^7+7*P^2*x^5-2*P*x^6-5*P^2*x^4-4*P*x^5+3*P^2*x^ 3+3*P*x^4+x^5+3*P^2*x^2-8*P*x^3+2*x^4-4*P^2*x+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/((x^5-x^4+x^3)*C+x^4+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270 )*a(n-1)+(-334*n^2+2494*n-3492)*a(n-2)+(881*n^2-8015*n+15330)*a(n-3)+(-917*n^2+ 10007*n-23562)*a(n-4)+(-458*n^2+4034*n-10764)*a(n-5)+(2057*n^2-22967*n+65346)*a (n-6)+(-2095*n^2+22363*n-56694)*a(n-7)+(881*n^2-6575*n+1290)*a(n-8)+(350*n^2-\ 9716*n+54084)*a(n-9)+(-497*n^2+12929*n-77034)*a(n-10)+(142*n^2-4948*n+34188)*a( n-11)+(113*n^2-2585*n+19434)*a(n-12)+(-147*n^2+5055*n-39870)*a(n-13)+(191*n^2-\ 6749*n+54198)*a(n-14)+(-34*n^2+1066*n-8100)*a(n-15)+(85*n^2-2473*n+17922)*a(n-\ 16)+2*(n-10)*(n-9)*a(n-17)+20*(2*n-27)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 28, a(7) = 66, a(8) = 159, a(9) = 392, a( 10) = 991, a(11) = 2578, a(12) = 6927, a(13) = 19283, a(14) = 55705, a(15) = 166985, a(16) = 518492, a(17) = 1662273, a(18) = 5480484}, [1, 1, 2, 5, 12, 28, 66, 159, 392, 991, 2578, 6927, 19283, 55705, 166985, 518492, 1662273, 5480484, 18503509, 63718736, 223011204, 790954619, 2835991097, 10260388179, 37400884905, 137199412924, 506029762484, 1875154202017, 6977205499563, 26055772771267, 97619207128360, 366804568941668, 1381922606450304, 5218925433394038, 19753302033418076, 74917583780185664, 284673331154398165, 1083602555460027997, 4131437809015219080, 15775881336805265954, 60326094855564155586, 230992554825743161644, 885599743907887615576, 3399322242929641920805, 13062727737828666354054, 50249972024967362089840, 193496909634884697036076, 745806640390834650399707, 2877212257918334551660089, 11109434798293722686091616 ], 9119374305654674172484192444410612386436255490097077028458635887362016395674\ 8245776768163272188242818780643869789323139915563258314186491259679601236596377\ 6277740108179695654756729904762174338987280276557887312141307700716299445499056\ 3585224994699292163666527819865545836306799800984388417388518958769047850623899\ 1848886479528704943668844155688974452130873023030016711523171457439714158384548\ 9680305295442245295210798662673059434598263507636840832436912181157488225916284\ 2612310960775975339846226207781758054624214737641723045174590243119152704401638\ 056585897537310515855348782965595099256425420] ---------------------------- (A,B)= , {2}, {1, 3, 5} [P^2*x^9-2*P^2*x^8+4*P^2*x^7-2*P^2*x^6-2*P*x^7-5*P^2*x^5+4*P*x^6+15*P^2*x^4-3*P *x^5-22*P^2*x^3-4*P*x^4+x^5+18*P^2*x^2+18*P*x^3-2*x^4-7*P^2*x-24*P*x^2-x^3+P^2+ 12*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x+1)/((x^5-x^4+2*x^3-x^2)*C-x^3+2*x^2-3* x+1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+(-880*n^2+7268*n-10656)*a(n-2 )+(4356*n^2-42642*n+85992)*a(n-3)+(-13601*n^2+153031*n-383016)*a(n-4)+(28179*n^ 2-356091*n+1046256)*a(n-5)+(-39759*n^2+554181*n-1844652)*a(n-6)+(38481*n^2-\ 584721*n+2155380)*a(n-7)+(-24670*n^2+411212*n-1674336)*a(n-8)+(8211*n^2-167055* n+813480)*a(n-9)+(2085*n^2-783*n-167196)*a(n-10)+(-4599*n^2+51981*n-63636)*a(n-\ 11)+(3060*n^2-37302*n+54504)*a(n-12)+(-1278*n^2+16194*n-23184)*a(n-13)+(422*n^2 -7306*n+28248)*a(n-14)+(-219*n^2+5925*n-40476)*a(n-15)+(158*n^2-4654*n+34248)*a (n-16)-6*(13*n-188)*(n-15)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 1, a( 2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 29, a(7) = 72, a(8) = 183, a(9) = 474, a(10) = 1250, a(11) = 3358, a(12) = 9199, a(13) = 25730, a(14) = 73578, a( 15) = 215357, a(16) = 645654, a(17) = 1983180, a(18) = 6238326}, [1, 1, 2, 5, 12, 29, 72, 183, 474, 1250, 3358, 9199, 25730, 73578, 215357, 645654, 1983180, 6238326, 20075995, 65997748, 221213576, 754457444, 2612745571, 9169356015, 32551703277, 116709428859, 422020895856, 1537255954979, 5635237929683, 20771714688873, 76935428221454, 286169923841306, 1068453881930645, 4002633681789650, 15039922373460898, 56666805498739876, 214036171415320835, 810266328532169365, 3073758725651215788, 11682681364907775308, 44481968719371240299, 169644303481525275892, 647976914864380829319, 2478569370811051350719, 9493462910150512325270, 36407832981434369086260, 139791081494356185180050, 537340187078136231634076, 2067653208518857826890957, 7964162862244030669900568], 598633123723875513517525277140644490789488499099492\ 4914406584277974032621470059779131012045215675545905033719081778715914710452795\ 7852143091109937409680712958073626512223721374783373595958207126080251930826584\ 8681765210415212062000152502279441113187397139795503140124478139669904550237881\ 5136669914682602387092071262023384441726294440758382244101487252043741940543616\ 0805473175755665610313536960654596946546890550731347064389251809019854356835187\ 8767231373644848894500762148256130666973826412479545686556972713423327871302065\ 9056734232329588655679902990673577923337218210072660536479749778647724] ---------------------------- (A,B)= , {2}, {1, 4, 5} [P^2*x^7-2*P^2*x^6+2*P^2*x^5+2*P*x^6-3*P^2*x^4-P*x^5-2*P^2*x^3+4*P*x^4+x^5+10*P ^2*x^2-8*P*x^3+2*x^4-6*P^2*x-10*P*x^2+6*x^3+P^2+10*P*x+x^2-2*P-4*x+1, (-C*x^3-x ^2-2*x+1)/((x^4-x^3)*C+x^2-3*x+1), {5*n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+( 695*n^2-5797*n+8484)*a(n-2)+(-2750*n^2+27334*n-55056)*a(n-3)+(5937*n^2-68205*n+ 170256)*a(n-4)+(-6226*n^2+80666*n-233328)*a(n-5)+(943*n^2-13181*n+30852)*a(n-6) +(3795*n^2-58173*n+227376)*a(n-7)+(-3010*n^2+44078*n-161568)*a(n-8)+(1137*n^2-\ 11427*n+14868)*a(n-9)+(-306*n^2+282*n+23496)*a(n-10)+(-260*n^2+5914*n-32568)*a( n-11)+(248*n^2-4648*n+21144)*a(n-12)-4*(7*n-38)*(n-12)*a(n-13)-6*(3*n-40)*(n-14 )*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5 , a(5) = 13, a(6) = 35, a(7) = 96, a(8) = 266, a(9) = 743, a(10) = 2091, a(11) = 5929, a(12) = 16945, a(13) = 48845, a(14) = 142131, a(15) = 417913}, [1, 1, 2 , 5, 13, 35, 96, 266, 743, 2091, 5929, 16945, 48845, 142131, 417913, 1243070, 3744750, 11438302, 35461574, 111679165, 357472504, 1163217825, 3847339578, 12927689127, 44094981850, 152514404629, 534277103475, 1893248453271, 6777769136411, 24483949928893, 89147516292982, 326840614794207, 1205532826914224, 4469982329196522, 16650626091117385, 62274402353177874, 233741482239324676, 880103602010508834, 3323187863442398454, 12579774553886460172, 47728768299687751950, 181461764392175275893, 691207821737000447738, 2637440099543188409398, 10079704308319616954764, 38579131658057791484569, 147860123354346994147746, 567418361489687955042108, 2180085864520813023070105, 8385513597264572786298319], 607470982209038603052532\ 6026708378197914770369647076687246581813293485444796412624768209798082424567796\ 0697401536785144439712656498626961260933988221365212083424631053196366360156252\ 6999496403663093178715774893248425075908074074011004369074843254496815571194178\ 9498179834776731511440594986953829071201493777336021195230751576223717871287859\ 4966432394931230735162366751779782938789311483252232727272472791578043985653793\ 7361535082002298377364110227907178739475457630296217158030842946869842313418423\ 1867316217702049687807547455328738169389466425339109296695718796745685455780498\ 555844438891729580] ---------------------------- (A,B)= , {2}, {2, 3, 4} [P^2*x^7+2*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6+x^7+4*P^2*x^4-6*P*x^5+2*x^6-P^2*x^ 3-5*P*x^4+3*x^5-P^2*x^2+4*P*x^3+x^4-2*P^2*x+4*P*x^2-3*x^3+P^2+2*P*x-2*x^2-2*P+1 , (C*x^4+x^3+x^2-1)/(C*x^4+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n -1)+(-164*n^2+1268*n-1752)*a(n-2)+(177*n^2-1635*n+2898)*a(n-3)+(57*n^2-915*n+ 3138)*a(n-4)+(144*n^2-768*n+288)*a(n-5)+(-501*n^2+6345*n-20382)*a(n-6)+(-173*n^ 2+1565*n-2154)*a(n-7)+(161*n^2-3149*n+14670)*a(n-8)+(377*n^2-6731*n+29502)*a(n-\ 9)+(69*n^2+891*n-16422)*a(n-10)+(1266*n-13308)*a(n-11)+(49*n^2-997*n+5202)*a(n-\ 12)+(202*n^2-5968*n+43536)*a(n-13)+9*(n-14)*(19*n-273)*a(n-14)+2*(53*n-722)*(n-\ 15)*a(n-15)+20*(2*n-27)*(n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 16, a(7) = 33, a(8) = 70, a(9) = 154, a(10) = 355, a(11) = 866, a(12) = 2251, a(13) = 6245, a(14) = 18414, a(15) = 57213, a(16) = 185405 }, [1, 1, 2, 4, 8, 16, 33, 70, 154, 355, 866, 2251, 6245, 18414, 57213, 185405, 620629, 2129017, 7439673, 26367505, 94489799, 341625588, 1244174774, 4559060423 , 16793971554, 62147298893, 230913270440, 861080917988, 3221443510012, 12087494204050, 45476623926282, 171517584430018, 648354248106943, 2455977538768902, 9321340465911779, 35441752116509282, 134983876626973003, 514909491556427422, 1967067133445470167, 7525021790792224809, 28824459171118788381, 110547017150291455062, 424458971535679006492, 1631548699699498919233, 6277908484546161213133, 24180064675135846380835, 93219365568695176660551, 359700693295280978180857, 1389135191429884881412863, 5369066755275877444913157], 457460419744144038427389696912631284136362617812999\ 7471018810500995505585719521915929754868164744300246965543867515324264107123110\ 6877942403785422223920770342465403297244882862195979787592255564480806305391488\ 9071343717389190274558487648274784019632261028221767654444359529850687513307648\ 3386973055355352930869179407971865940197074076690253773607136501314410247536555\ 5288782419974293195779033555542308826106498505568010479098290796907429809924350\ 1631291589294861291518195865214238813055294633300672740589952769290486815245296\ 9985151375814877016581838221795967878514480960243259819114369395128608] ---------------------------- (A,B)= , {2}, {2, 3, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7-P^2*x^5-2*P*x^6+x^7-4*P^2*x^4+5*P*x^5+6*P*x^4-3*x^5+ 7*P^2*x^2-8*P*x^3-5*P^2*x-6*P*x^2+5*x^3+P^2+8*P*x-2*P-3*x+1, ((x^4-x^2)*C-x^2-x +1)/((x^4+x^3-x^2)*C-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-558*n ^2+4680*n-6828)*a(n-2)+(1929*n^2-19239*n+38580)*a(n-3)+(-3494*n^2+40252*n-99732 )*a(n-4)+(2554*n^2-33314*n+93744)*a(n-5)+(1231*n^2-18383*n+74136)*a(n-6)+(-2742 *n^2+46608*n-195228)*a(n-7)+(-4*n^2-4804*n+38352)*a(n-8)+(1502*n^2-26608*n+ 119004)*a(n-9)+(-72*n^2+5388*n-48000)*a(n-10)+(-437*n^2+6361*n-15528)*a(n-11)+( -46*n^2+326*n+1848)*a(n-12)+(10*n^2+514*n-8472)*a(n-13)+(-20*n^2+688*n-5664)*a( n-14)+6*(7*n-103)*(n-16)*a(n-15)+12*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a(8) = 83, a(9) = 192, a(10) = 459, a(11) = 1138, a(12) = 2936, a(13) = 7903, a(14) = 22218, a(15) = 65175, a(16) = 198917}, [1, 1, 2, 4, 8, 17, 37, 83, 192, 459, 1138, 2936, 7903, 22218, 65175, 198917, 628959, 2050153, 6855128, 23407513, 81308699, 286415136, 1020573407, 3671355698, 13312909731, 48602478278, 178470974146, 658671943652, 2441717945560, 9087149807600, 33937859020234, 127149240402589, 477734739086633, 1799671466679912, 6795752854498261, 25717969310894055, 97525337941110410, 370523153672322732, 1410174597352181001, 5375745505630004669, 20524218985491716861, 78472061035063120081, 300432029499383256603, 1151664168013067587651, 4420003754398851129803, 16982747435696406651124, 65321405484883956189121, 251501845646945413997161, 969265212111199370796234, 3738860493752034608391477], 295146147774975477640392951356524746446947972697008\ 3074630184477731694057297764345757973397449882066714252681540276808436710775848\ 1917916605551136738158243188384376062361233766707157571496138708634276213925775\ 3805267632829498853735055825428360643764350294107292265019688390502578124198584\ 3948135208971697006072637620321844723184565717547223209131568370558258188349076\ 1980731198735453196402429650793760053944877607127465507449246194580771462254627\ 7980341556628471643202543213977236763570929809315114610631162925500288446039119\ 9336826957034635425983612470212640942872162556681110256660968629816433] ---------------------------- (A,B)= , {2}, {2, 4, 5} [P^2*x^7-3*P^2*x^5+2*P*x^6-4*P^2*x^4+5*P*x^5+9*P^2*x^3-4*P*x^4+x^5+P^2*x^2-16*P *x^3+6*x^4-4*P^2*x+4*P*x^2+5*x^3+P^2+6*P*x-4*x^2-2*P-2*x+1, (-C*x^3-2*x^2-x+1)/ ((x^4-x^3)*C+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(405*n^ 2-3453*n+5016)*a(n-2)+(-893*n^2+9241*n-18360)*a(n-3)+(16*n^2-1184*n+1728)*a(n-4 )+(3025*n^2-37877*n+115272)*a(n-5)+(-3306*n^2+47142*n-161424)*a(n-6)+(-2183*n^2 +34573*n-137496)*a(n-7)+(4272*n^2-74904*n+324072)*a(n-8)+(174*n^2-864*n-2880)*a (n-9)+(-1490*n^2+28600*n-138600)*a(n-10)+(-240*n^2+3024*n-5232)*a(n-11)+(346*n^ 2-6572*n+30768)*a(n-12)+(30*n^2-510*n+1776)*a(n-13)-2*(n-12)*(13*n-164)*a(n-14) +4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 21, a(7) = 50, a(8) = 121, a(9) = 297, a(10) = 740, a(11) = 1875, a( 12) = 4844, a(13) = 12800, a(14) = 34712, a(15) = 96913}, [1, 1, 2, 4, 9, 21, 50, 121, 297, 740, 1875, 4844, 12800, 34712, 96913, 279240, 831417, 2557596, 8115651, 26491594, 88655882, 303076467, 1054726582, 3725047535, 13316579259, 48083008546, 175057938265, 641757808827, 2366424216953, 8769548807303, 32638652865431, 121933486244840, 457045791049953, 1718252163858259, 6477025204905697, 24474706517765956, 92687381504787734, 351727164909999369, 1337225973712511973, 5092807194441420643, 19427199208179068085, 74219248039672152413, 283944943208220778187, 1087739814024004479727, 4172101943511854104294, 16021111877235430344520, 61589950540609183239607, 237017569592011560819886, 913021208105483296303901, 3520374635953704731240070], 2742004374443242987817336408734145056738190686904609343865395881218445938070115\ 6562123254420747898857592146413664524640893779041107391796611566495338639021003\ 7670273714680222590080507088472147895386306462708789660788389068265933050407092\ 9486555393182803388286478691976073528563660119422196413102013132334052041885822\ 5678322465028830200074756527407815190893360135810179150750070629567846920417442\ 0523192190270196621885631289617589343804145158820467853080614612513702186001560\ 6205020119502557217962160819810911482810864365939683585553466751720021437456805\ 481867552069537047997139044343205065822884] ---------------------------- (A,B)= , {2}, {3, 4, 5} [P^2*x^7-2*P*x^8+x^9+2*P^2*x^6-6*P*x^7+4*x^8+3*P^2*x^5-10*P*x^6+8*x^7+7*P^2*x^4 -17*P*x^5+12*x^6+P^2*x^3-14*P*x^4+13*x^5+2*P^2*x^2-2*P*x^3+6*x^4-4*P^2*x+2*P*x^ 2-x^3+P^2+6*P*x-3*x^2-2*P-2*x+1, ((x^5+x^4)*C+x^4+2*x^3+2*x^2+x-1)/(C*x^4+x^3+x ^2+2*x-1), {5*n*(n-5)*a(n)+(-69*n^2+467*n-378)*a(n-1)+(344*n^2-2906*n+4186)*a(n -2)+(-695*n^2+6923*n-13420)*a(n-3)+(345*n^2-3427*n+6298)*a(n-4)+(31*n^2-2133*n+ 10610)*a(n-5)+(1132*n^2-15176*n+51114)*a(n-6)+(-345*n^2+6505*n-28206)*a(n-7)+(-\ 1165*n^2+21621*n-99832)*a(n-8)+(-1481*n^2+28069*n-133046)*a(n-9)+(-621*n^2+8605 *n-22652)*a(n-10)+(393*n^2-15347*n+126162)*a(n-11)+(794*n^2-24282*n+180110)*a(n -12)+(731*n^2-21571*n+158674)*a(n-13)+(391*n^2-11373*n+82720)*a(n-14)+(170*n^2-\ 5110*n+38300)*a(n-15)+20*(2*n-29)*(n-17)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 34, a(7) = 89, a(8) = 234, a(9) = 618, a(10) = 1640, a(11) = 4376, a(12) = 11752, a(13) = 31805, a(14) = 86879, a(15) = 239994 , a(16) = 671919}, [1, 1, 2, 5, 13, 34, 89, 234, 618, 1640, 4376, 11752, 31805, 86879, 239994, 671919, 1911312, 5537980, 16384320, 49595470, 153808297, 488931970, 1592361883, 5306105473, 18054278237, 62577136598, 220389610310, 786780957250, 2840855165618, 10354965921260, 38041445454095, 140670503797281, 523028023887384, 1953676315780755, 7326397420971408, 27567826880577652, 104039826868380965, 393667120433269252, 1493024594082266366, 5674283989661470077, 21606116405077256304, 82412420057944117817, 314846146756089219047, 1204597057512786076544, 4615063505097874544312, 17703793918692083113782, 67994323394431422554515, 261435923347769357720537, 1006273391466814251724309, 3877031727162363695188142], 295505258371791555046404\ 9139616565122075979684550977666142497508722433786124564556569265298227118996312\ 7723998598510108567755332465128504815940265525615762336142626536986911788120450\ 1747350825761959748727214276834146230228200903375956685945228446886866105230944\ 9885506974653897468545787336433051300271835741972595942331948026471500002027170\ 5410120559635814062157681583048645834600430302900484853247470149556187192105601\ 3235172907217583086504435019876453729702943661347630611883398197326211363994234\ 8351826280768564206631964799864567025554455407208540448606171636134477027709776\ 837645141658132469] ---------------------------- (A,B)= , {2}, {1, 2, 3, 4} [P^2*x^9+2*P^2*x^8+3*P^2*x^7+P^2*x^6+3*P^2*x^5-P^2*x^4-2*P^2*x^3+3*P*x^4+P^2*x^ 2+2*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^5+x^4+x^3+x-1), {-4*n*(n-4)*a(n)+3*( 15*n-14)*(n-5)*a(n-1)+(-176*n^2+1340*n-1848)*a(n-2)+(298*n^2-2632*n+4788)*a(n-3 )+(-292*n^2+2776*n-5880)*a(n-4)+(245*n^2-2753*n+7098)*a(n-5)+(51*n^2+405*n-3822 )*a(n-6)+(-309*n^2+2853*n-5586)*a(n-7)+(156*n^2-1464*n+3108)*a(n-8)+(-242*n^2+ 2768*n-7980)*a(n-9)+(53*n^2-1187*n+5334)*a(n-10)+(n-7)*(43*n-798)*a(n-11)+(112* n^2-1684*n+6468)*a(n-12)+2*(34*n-315)*(n-10)*a(n-13)+(45*n^2-855*n+4074)*a(n-14 )+6*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 12, a(7) = 22, a(8) = 43, a(9) = 89, a(10) = 199, a(11) = 489, a(12) = 1320, a(13) = 3863, a(14) = 12038, a(15) = 39267}, [1, 1, 2, 4, 7, 12, 22, 43 , 89, 199, 489, 1320, 3863, 12038, 39267, 132287, 455991, 1598304, 5673784, 20343821, 73542839, 267686519, 980091989, 3606898678, 13334197236, 49493987022, 184379650062, 689125267473, 2583325926409, 9710567591713, 36592927789344, 138213786605009, 523156545574172, 1984133380196938, 7538916560120257, 28694060698099858, 109388471251595904, 417641512049967120, 1596792538485238659, 6113216689830823539, 23433352696715628057, 89931551969803402988, 345521382792048530766, 1328915395848314747805, 5116296069670066605395, 19716421328792832107694, 76049149789044080843533, 293586246005214886433473, 1134317558393308450869438, 4386063781555660099763562], 379830832881001673493342\ 3869127300715681994875471693702528844554574546053779896051186276724816931566510\ 9954497770423391160580037793391830559246960396590620573755366339053206788741094\ 4361005245165498843533649084251971522658228049351050253384901310359103151851791\ 6488391701719604346665993248748078096114485138590022954107546034848942989902753\ 4939418039700065351531214129723832626623459027848463365350674094289595854732523\ 3788299645870565958462451767032819362299582224640653631743306505115189941353640\ 2191249349985706550363327519241552569961744575703727396258388233689195899712806\ 060784148747570453] ---------------------------- (A,B)= , {2}, {1, 2, 3, 5} [P^2*x^9+P^2*x^7-4*P^2*x^5+2*P*x^6+6*P^2*x^4+P*x^5-8*P^2*x^3-2*P*x^4+9*P^2*x^2+ 4*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x^3- x^2)*C-x^3+x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(574*n^2-4796 *n+6996)*a(n-2)+(-2179*n^2+21497*n-43068)*a(n-3)+(5072*n^2-57106*n+141396)*a(n-\ 4)+(-7753*n^2+96785*n-278496)*a(n-5)+(8371*n^2-112667*n+359952)*a(n-6)+(-6969*n ^2+99579*n-343800)*a(n-7)+(4544*n^2-70690*n+269040)*a(n-8)+(-1902*n^2+35226*n-\ 160332)*a(n-9)+(188*n^2-8212*n+58824)*a(n-10)+(328*n^2-1850*n-10308)*a(n-11)+(-\ 424*n^2+4748*n-7824)*a(n-12)+(n-5)*(311*n-3072)*a(n-13)+(-100*n^2+1922*n-9192)* a(n-14)+(34*n^2-782*n+4536)*a(n-15)-2*(n-12)*(5*n-64)*a(n-16)+4*(2*n-27)*(n-14) *a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 26, a(8) = 54, a(9) = 117, a(10) = 268, a(11) = 652, a(12) = 1687, a(13) = 4637, a(14) = 13475, a(15) = 41093, a(16) = 130425, a(17) = 427478}, [1, 1, 2, 4, 7, 13, 26, 54, 117, 268, 652, 1687, 4637, 13475, 41093, 130425, 427478, 1437250, 4930635, 17188722, 60702410, 216656984, 780139086, 2830162191, 10333050996, 37936537992, 139959962992, 518591894793, 1928960221705, 7199930041184, 26958629325212, 101229986394324, 381115098838947, 1438288570623603, 5439980487154131, 20617598271712315, 78289622408997766, 297809477755926494, 1134722545127728324, 4330234705847194541, 16548625080116975740, 63329072322356846937, 242661264615545751831, 930941287946991238195, 3575523769770534285297, 13747571470749398501446, 52912312978438561734864, 203849355708671931277012, 786072975934629695643072, 3033876758080496367094145], 244153439028429778449933789759391122120320761084518\ 3785451252491505288168821379309342621500393722109215653535428137967634384601344\ 2573054800472842826038477876689693149107544713867436641578033355031227909350899\ 7882473910052827951342318869219365193176281429811620176947405393489014178661661\ 1578558456083401225311636087579545896875584618886961880804141236464853752201709\ 1136599723124124433366592097031247185011344933621380865497004866876154372758104\ 9576933266099106761839316866254518274430815143049539954571302992346910339606701\ 5295505043509949297538828998825934726565997151798350717513968341658260] ---------------------------- (A,B)= , {2}, {1, 2, 4, 5} [P^2*x^7-2*P^2*x^6+P^2*x^5+2*P*x^6-2*P^2*x^4-P*x^5+3*P^2*x^3+x^5+3*P^2*x^2-8*P* x^3+2*x^4-4*P^2*x+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^4-x^3)* C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(421*n^2-3569*n+5184)*a(n-\ 2)+(-1115*n^2+11263*n-22392)*a(n-3)+(1158*n^2-13578*n+32568)*a(n-4)+(507*n^2-\ 6387*n+22848)*a(n-5)+(-1924*n^2+27356*n-96264)*a(n-6)+(981*n^2-13191*n+44160)*a (n-7)+(-2*n^2-4898*n+38112)*a(n-8)+(176*n^2+1070*n-21168)*a(n-9)+(114*n^2-3228* n+19416)*a(n-10)+(-364*n^2+6332*n-26376)*a(n-11)+(142*n^2-2468*n+10080)*a(n-12) +12*(n-14)*(n-13)*a(n-13)-6*(3*n-40)*(n-14)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a(8) = 82, a(9) = 186, a(10) = 433, a(11) = 1039, a(12) = 2584, a(13) = 6696, a(14) = 18152, a(15) = 51565}, [1, 1, 2, 4, 8, 17, 37, 82, 186, 433, 1039, 2584, 6696 , 18152, 51565, 153321, 475372, 1528579, 5066923, 17214964, 59650596, 209951256 , 748255824, 2693801231, 9778538369, 35741717652, 131404765448, 485540455923, 1801931823941, 6713140022548, 25096020740803, 94107601539230, 353881865788074, 1334128572430110, 5041385329040913, 19091240034160216, 72440189502950680, 275374441260657334, 1048601905059228392, 3999363240114171955, 15276347197461724764, 58432741527944795014, 223802257631502772857, 858244060404985713000, 3295071776395243025800, 12664814454181595735231, 48728954002853464886817, 187674862230624683741822, 723492694022599465851144, 2791586689978106527704504], 222705779438249737673701572417232675349189793669519\ 2173918805269465663684937761130425722730781354863524982342802064689523371944865\ 4461036443637860172644764087893832837097295487301664134259231507810413946184729\ 7109758628851015616355600430898162626614225224245652386931064230939792259021415\ 4289401425762178161112425381960981572809338643454465599336754201352027062709106\ 3537392690857500882419258857277606983325688156744641525226554397960111766017261\ 4054021028006406020814944171003908167892441430054214187670823833375244603975118\ 2964836099577340864913123501639846028049367511358761681487012275236141] ---------------------------- (A,B)= , {2}, {1, 3, 4, 5} [P^2*x^11+2*P^2*x^9+2*P^2*x^8-2*P*x^9-2*P*x^8+8*P^2*x^6-4*P*x^7-5*P^2*x^5-6*P*x ^6+x^7+7*P^2*x^4+P*x^5+2*x^6-3*P^2*x^3-10*P*x^4+3*x^5+4*P^2*x^2+2*P*x^3+4*x^4-4 *P^2*x-2*P*x^2-x^3+P^2+6*P*x-x^2-2*P-2*x+1, (C*x^4+x^3+x^2+x-1)/((x^6-x^5+x^4)* C+x^5+x^3+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-429*n^2+3627*n-\ 5268)*a(n-2)+(1247*n^2-12433*n+24696)*a(n-3)+(-2024*n^2+22600*n-54576)*a(n-4)+( 2364*n^2-27690*n+74796)*a(n-5)+(-3187*n^2+39227*n-117660)*a(n-6)+(4164*n^2-\ 54798*n+180036)*a(n-7)+(-4030*n^2+53816*n-177264)*a(n-8)+(3423*n^2-51231*n+ 191640)*a(n-9)+(-2270*n^2+42028*n-200928)*a(n-10)+(1476*n^2-31434*n+167952)*a(n -11)+(-791*n^2+24901*n-179592)*a(n-12)+(158*n^2-10804*n+106812)*a(n-13)+(-68*n^ 2+7366*n-77520)*a(n-14)+(247*n^2-13175*n+136728)*a(n-15)+(-132*n^2+6576*n-68184 )*a(n-16)+(388*n^2-15548*n+147264)*a(n-17)+(70*n^2-2192*n+17136)*a(n-18)+(131*n ^2-4675*n+41592)*a(n-19)+(142*n^2-4994*n+43800)*a(n-20)+(10*n^2-314*n+2496)*a(n -21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a( 5) = 12, a(6) = 28, a(7) = 65, a(8) = 152, a(9) = 359, a(10) = 857, a(11) = 2072, a(12) = 5091, a(13) = 12768, a(14) = 32852, a(15) = 87189, a(16) = 239869 , a(17) = 686515, a(18) = 2046814, a(19) = 6349486, a(20) = 20424034, a(21) = 67793132, a(22) = 230975133}, [1, 1, 2, 5, 12, 28, 65, 152, 359, 857, 2072, 5091, 12768, 32852, 87189, 239869, 686515, 2046814, 6349486, 20424034, 67793132 , 230975133, 803695271, 2843636444, 10194840019, 36933214143, 134920304091, 496226430117, 1835330018956, 6820168138479, 25446553626979, 95277073422950, 357844286172431, 1347727065510117, 5088550328749944, 19256271834326883, 73021906146844628, 277437722581657785, 1055959210721436883, 4025719462844642829 , 15371146221771491627, 58774941762463170839, 225041475932743918347, 862744648677873262560, 3311459883990906114312, 12724631786587927635729, 48947769305430099983899, 188476918564811474077907, 726438072681273889183062, 2802421615564373513719519], 222293842861263023211476706141967953297304444642563\ 5389962446411016879181479117856593828439997406350841418980601224480699293509242\ 7814414949388067435842695881581081558986945289644162727789291573199097292404044\ 2099405388383116447031428383383414137674823834601235073000097564355750562335250\ 0332758213622019932076147195562997445211094466879638861326878797443293226861579\ 2792356418291927991837334245295727289763179489642299471351625825630355188716805\ 4794920358561395303340614487373872100604818364226832298325723218229480661243081\ 0727783917659115191350620703668173803881805324172789703583318943021154] ---------------------------- (A,B)= , {2}, {2, 3, 4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9+3*P^2*x^7-4*P*x^8+x^9+4*P^2*x^6-6*P*x^7+2*x^8+5*P^2* x^5-8*P*x^6+3*x^7-7*P*x^5+4*x^6+2*P*x^4+2*x^5-P^2*x^2+2*P*x^3-2*x^4-2*P^2*x+4*P *x^2-2*x^3+P^2+2*P*x-2*x^2-2*P+1, (C*x^5+x^4+x^3+x^2-1)/(C*x^5+x^4+x^3+x^2+x-1) , {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-203*n^2+1771*n-2520)*a(n-2)+(208* n^2-2138*n+3864)*a(n-3)+(167*n^2-2107*n+6408)*a(n-4)+(-207*n^2+2733*n-8520)*a(n -5)+(90*n^2+192*n-4356)*a(n-6)+(-557*n^2+7537*n-26016)*a(n-7)+(-173*n^2+973*n+ 3948)*a(n-8)+(388*n^2-7868*n+38880)*a(n-9)+(400*n^2-7250*n+31344)*a(n-10)+(432* n^2-7542*n+29532)*a(n-11)+(50*n^2+3524*n-50232)*a(n-12)+(2346*n-28380)*a(n-13)+ (106*n^2-2942*n+21624)*a(n-14)+(309*n^2-10203*n+84084)*a(n-15)+(522*n^2-18306*n +159432)*a(n-16)+2*(n-17)*(217*n-3768)*a(n-17)+12*(25*n-416)*(n-18)*a(n-18)+18* (9*n-148)*(n-19)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a( 3) = 2, a(4) = 4, a(5) = 8, a(6) = 16, a(7) = 32, a(8) = 65, a(9) = 134, a(10) = 282, a(11) = 611, a(12) = 1378, a(13) = 3275, a(14) = 8292, a(15) = 22500, a( 16) = 65341, a(17) = 201455, a(18) = 651845, a(19) = 2187847, a(20) = 7543119}, [1, 1, 2, 4, 8, 16, 32, 65, 134, 282, 611, 1378, 3275, 8292, 22500, 65341, 201455, 651845, 2187847, 7543119, 26519421, 94583633, 341017117, 1239952405, 4539294348, 16711823254, 61822555131, 229659244691, 856292494810, 3203253362237 , 12018532851992, 45215273264731, 170526589842616, 644592874641260, 2441683784318490, 9266951249132693, 35234519819758140, 134193243325649907, 511889180011863886, 1955514826230041651, 7480782788919437282, 28654853622141967629, 109896061247727156490, 421957940885499204655, 1621929868176638103697, 6240879457719243518243, 24037385459904596184298, 92669115301506445934079, 357576839677313940244819, 1380930954470929447332642], 1138664038321731262723251787506740638726572111235936878959026144530479780937160\ 4604386938826389791877103203846098849590731372140794958161724272885350397067759\ 2904940255878092557812675819384026292798974907132396267782603283513592661804047\ 1006160740037843068393778912134138443495311211213922506291619411834838085760400\ 0348706687429519767116260959199265105437145825139116570197640696687388388359405\ 9173323858444868564175107169330627475716499539378128177462979432165778827189803\ 5041307603523006397559089210973510860688605370966875196357261621176755834981875\ 581735948728954157981072421473617823700634] ---------------------------- (A,B)= , {2}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+4*P^2*x^8+2*P^2*x^7+4*P^2*x^6-P^2*x^5+3*P*x^5-2* P^2*x^3+2*P*x^4+P^2*x^2+2*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^6+x^5+x^4+x^3+ x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+( 374*n^2-3688*n+6984)*a(n-3)+(-379*n^2+3995*n-8880)*a(n-4)+(387*n^2-4425*n+11304 )*a(n-5)+(-270*n^2+3216*n-8988)*a(n-6)+(330*n^2-2988*n+5016)*a(n-7)+(-553*n^2+ 6329*n-16260)*a(n-8)+(208*n^2-2294*n+5472)*a(n-9)+(-334*n^2+4166*n-12672)*a(n-\ 10)+(82*n^2-1988*n+9732)*a(n-11)+(88*n^2-2228*n+11904)*a(n-12)+(185*n^2-4093*n+ 21336)*a(n-13)+(238*n^2-4388*n+20664)*a(n-14)+(154*n^2-3332*n+18036)*a(n-15)+( 108*n^2-2322*n+12552)*a(n-16)+(45*n^2-1035*n+5964)*a(n-17)+6*(n-12)*(2*n-25)*a( n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 12, a(7) = 21, a(8) = 38, a(9) = 71, a(10) = 138, a(11) = 285, a(12) = 640, a(13) = 1585, a(14) = 4328, a(15) = 12853, a(16) = 40689, a(17) = 134739, a(18) = 460100}, [1 , 1, 2, 4, 7, 12, 21, 38, 71, 138, 285, 640, 1585, 4328, 12853, 40689, 134739, 460100, 1604713, 5681853, 20345691, 73499270, 267432905, 978979901, 3602440371, 13316957076, 49428344084, 184131323427, 688187982464, 2579789129378, 9697211957723, 36542433895636, 138022613974981, 522431675178596, 1981380747269312, 7528448182197094, 28654191694969584, 109236418622350045, 417060839955347823, 1594572186508923566, 6104716235086631659, 23400771410284743152, 89806532632924063028, 345041155073884427612, 1327068860750336724236, 5109189033251583525053, 19689042080188157106809, 75943580176756618515972, 293178843087036810982112, 1132744077486319589575102], 9497343340692014423196982773833476782234908039240873296357573359517502359563229\ 7976434814365987465284927645765558271024395718945121749513801463271306626766221\ 1787120959382548653431904249891622806924974997094356524906574510130663395323888\ 8606265882752554594451461596789717365141438043464486036448971403695125581771798\ 9729758105816052306544456220176048807992304668194055798335685815857954505681614\ 6576660964086684129573628965090872361161363758964828891703118027819755847305615\ 1219007666729088826344378182374967413103469915613483450364894956304026078886160\ 76158876053261246237385186301655852274997] ---------------------------- (A,B)= , {3}, {} [P^2*x^3+2*P^2*x^2-3*P^2*x+P^2+3*P*x-2*P+1, (-C*x+1)/((x^2-x)*C-x^2-x+1), {-(n-\ 1)*n*a(n)+(n-1)*(13*n-24)*a(n-1)+(-59*n^2+257*n-276)*a(n-2)+4*(28*n-73)*(n-3)*a (n-3)-2*(40*n-129)*(n-4)*a(n-4)+(-3*n^2-51*n+228)*a(n-5)+6*(n-4)*(2*n-9)*a(n-6) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 58}, [1, 2, 4, 9 , 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547, 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902, 23270147619699743008876442, 90093831591035950206998211, 349054331386847956567890747], 3289346391626539101813155177572627650945910687625\ 7280293061543499198850084245620127797199255923444911913880797074304561806787385\ 6833358462006718423451352159238438938096300049937145218583917590502626752228503\ 4926888559531903736341262514195381952881729901941796423040191760323852471411203\ 2741495691081086778367112337589506339674924288682609699359519898604413729795050\ 2989504863053048996896262986814038220065657454416551121987361549956867276657653\ 7672005908506328820762696090709573416126643680531141550140136744304118233012639\ 56441556987385331074176662063386923596445806146224162085175145927784775161] ---------------------------- (A,B)= , {3}, {1} [4*P^2*x^3-P^2*x^2-4*P^2*x+4*P*x^2+2*P^2+3*P*x-4*P+x+2, (-C*x+x+1)/((x^2-x)*C-2 *x^2+1), {4*(n-1)*n*a(n)-48*(n-1)*(n-2)*a(n-1)+(184*n^2-868*n+984)*a(n-2)-4*(58 *n-153)*(n-4)*a(n-3)+(-5*n^2-637*n+2292)*a(n-4)+2*(86*n+9)*(n-4)*a(n-5)+(-112*n ^2+1024*n-2352)*a(n-6)+32*(2*n-11)*(n-6)*a(n-7) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 12, a(6) = 28, a(7) = 71}, [1, 2, 3, 6, 12, 28, 71, 198, 590, 1852, 6034, 20212, 69130, 240304, 846199, 3011510, 10812934, 39118060, 142441962, 521636436, 1919889328, 7097773160, 26345351622, 98141092988, 366789122292, 1374910161496, 5167905898888, 19473365170016, 73547638424486, 278370123511384, 1055688444220663, 4010959924394198, 15265341843489414, 58191819199258700, 222162454677595266, 849362156342706436, 3251564649079343736, 12463384659905076904, 47829229493975283986, 183753953413247769652, 706708438118660927684, 2720698915094241226632, 10484203438240266444812, 40437554413742553627192, 156102552318959433853876, 603105534764807958175744, 2331946163900234562650902, 9023404346311540931705084, 34940957583639106671598876, 135393674133718197422744440], 128447104028075692293\ 1057115894762238229017197313797581290271601554025460862040052892432360329993731\ 8208896704984619017584307111020279257565332812319556931061533000106500821089221\ 8332766456848423039273041216413275400992775010210314733241177998409080064504072\ 9190917958793619546106284078488143856719914441572102387679068155291679179780044\ 4338421375829755587978927316446426512104027463699120815872866545979462799076287\ 6917661640476016360804442399759342913332753386720866058112914392492615238758625\ 9159534934056451709758716862809205215216796694522474788863299343955308915358289\ 05579609537565749656128] ---------------------------- (A,B)= , {3}, {2} [P^2*x^4-4*P^2*x^3-2*P*x^4+8*P^2*x^2+6*P*x^3+x^4-5*P^2*x-11*P*x^2-2*x^3+P^2+8*P *x+4*x^2-2*P-3*x+1, (C*x^2-x^2+x-1)/(C*x^2-x^2+2*x-1), {-n*(n-2)*a(n)+(16*n^2-\ 59*n+42)*a(n-1)+(-103*n^2+539*n-654)*a(n-2)+(344*n^2-2290*n+3732)*a(n-3)+(-637* n^2+5066*n-10032)*a(n-4)+(628*n^2-5582*n+12216)*a(n-5)+(-237*n^2+1713*n-1734)*a (n-6)+(-112*n^2+2426*n-11556)*a(n-7)+(160*n^2-2828*n+12408)*a(n-8)+(-67*n^2+ 1187*n-5250)*a(n-9)+6*(n-10)*(2*n-17)*a(n-10) = 0, a(1) = 1, a(2) = 2, a(3) = 4 , a(4) = 9, a(5) = 22, a(6) = 57, a(7) = 155, a(8) = 440, a(9) = 1298, a(10) = 3962}, [1, 2, 4, 9, 22, 57, 155, 440, 1298, 3962, 12461, 40223, 132773, 446749, 1528004, 5299797, 18603616, 65979816, 236099006, 851415959, 3091242095, 11290562201, 41456559495, 152938119308, 566591690929, 2107048789610, 7862710485679, 29432537157375, 110489958441106, 415866839015640, 1569029917443533, 5932984388350962, 22480646501920304, 85344246272779225, 324573031861542206, 1236436921157050594, 4717440731631842682, 18024941664983499519, 68966155510489869801, 264215374562573415351, 1013463817444256975141, 3891861142827649332972, 14961617559600486764155, 57576757142233591776232, 221789255900134849083907, 855140310663465160594027, 3300033036718577583727692, 12745740818820720511699360, 49267540498641881072013785, 190585541536045533327220276], 168341548168394727307\ 4805029628156486115974338397425167804457056145640942010801739433073376240752769\ 5593704223881342925438121966296374300784653064674058357440000188170724497130731\ 7807499875499924132061950891820614424673022660312147407305412037188362002396626\ 3404532112805971679437465744060340573353645057338948988156245673990321498784101\ 7250989948266666732340475764431958704867889998535647897889327220988652481440535\ 0794275322567831424317953781490542032205613237425173219033305485134112538935376\ 0678391901438350822264318134532843186019997019120208040446072203429743000573774\ 00359615497619938694873] ---------------------------- (A,B)= , {3}, {3} [P^2*x^5-2*P^2*x^4-P^2*x^3+2*P*x^4+7*P^2*x^2-P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P* x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^3-x^2)*C-2*x+1), {3*n*(n-3)*a(n)+(-49*n^2+ 231*n-176)*a(n-1)+(323*n^2-2049*n+2728)*a(n-2)+(-1101*n^2+8727*n-15912)*a(n-3)+ (2048*n^2-19536*n+44632)*a(n-4)+(-1943*n^2+22143*n-61336)*a(n-5)+(592*n^2-9246* n+33368)*a(n-6)+(382*n^2-3000*n+3488)*a(n-7)+(-334*n^2+3600*n-8600)*a(n-8)+(92* n^2-1212*n+3880)*a(n-9)-6*(3*n-28)*(n-10)*a(n-10)+4*(2*n-19)*(n-10)*a(n-11) = 0 , a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a(7) = 128, a(8 ) = 332, a(9) = 890, a(10) = 2467, a(11) = 7071}, [1, 2, 4, 9, 21, 51, 128, 332 , 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893, 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794, 15089579257931496563545286, 58295663546246877594396887], 4892069779579009411274\ 7017139328164654828763677680843602982257701455229505830004642802083317053346472\ 8927937577927648117368130058291771977686995588058038819207141347200917796949999\ 1721736098316703435056050693852383893132782659283939836242431460603596779379868\ 8357431316374277498718821819641893253386419900903916960970536472034361793943412\ 8149516439455922850762588236882112440889999928022631320191642665258125826217240\ 7360594395740783911211471870129555416229195900067034370608212234783745538953642\ 3960953677180616419353312387343263834447436139849821991238229034559503347731519\ 074517996563210755566] ---------------------------- (A,B)= , {3}, {4} [P^2*x^7+4*P^2*x^6+3*P^2*x^5-10*P^2*x^4+2*P*x^5-6*P^2*x^3+9*P*x^4+15*P^2*x^2+2* P*x^3-7*P^2*x-20*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^4+x^3 -x^2)*C+x^3+x^2-3*x+1), {4*n*(n-4)*a(n)+(-80*n^2+452*n-360)*a(n-1)+(672*n^2-\ 4884*n+6888)*a(n-2)+(-3057*n^2+27141*n-52698)*a(n-3)+(8021*n^2-84473*n+205722)* a(n-4)+(-11595*n^2+143499*n-421278)*a(n-5)+(6688*n^2-103042*n+372420)*a(n-6)+( 3342*n^2-33480*n+71280)*a(n-7)+(-5313*n^2+82011*n-311718)*a(n-8)+(-78*n^2-6042* n+52884)*a(n-9)+(1453*n^2-24541*n+102234)*a(n-10)+(148*n^2-562*n-7068)*a(n-11)+ (-158*n^2+3122*n-15372)*a(n-12)+(-10*n^2+112*n-24)*a(n-13)+4*(2*n-23)*(n-12)*a( n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 57, a(7) = 154, a(8) = 429, a(9) = 1224, a(10) = 3563, a(11) = 10559, a(12) = 31819, a(13) = 97436, a(14) = 303071}, [1, 2, 4, 9, 22, 57, 154, 429, 1224, 3563, 10559, 31819, 97436, 303071, 957243, 3069075, 9984422, 32941754, 110156492, 373079812, 1278724450, 4431688443, 15516802818, 54840480177, 195480007389, 702198168336, 2540097497458, 9246498530244, 33850900140822, 124562017355961, 460474583592852, 1709371196700818, 6369506596558392, 23815609325123664, 89324289694554085, 335977752850265854, 1267008137385093982, 4789422151612403024, 18144252231148972798, 68876940378596572617, 261952165825673090239, 997987334615151752363, 3808294605533813927184, 14554302536542119648365, 55701274128799764144116, 213458431913236298970108, 819032455039626187559624, 3146276070601256239493551, 12099615047608436225004151, 46579931850549476585985344], 34582724912631659802234557405510924739757049761870\ 8847117230561858204425178930696661227103895206723655315840496718716655987199804\ 5688504062187682812188420811310494324562670493359770146255377670218592900514299\ 4008702460535850170694824024229915296657559808732662030133786196497502884745866\ 8057442882961889695684367789976053383607820211289546444743256499842041753159442\ 6007104093665707568901908437658751381326161319990086402016016778731378093013689\ 4862827615945832288574708754132885767917257673277578746618971220330923534390270\ 456627514546396739728673161617909393360644088093486630243906050396212036] ---------------------------- (A,B)= , {3}, {5} [P^2*x^6+12*P^2*x^5+2*P^2*x^4-7*P*x^5-32*P^2*x^3+2*P*x^4+x^5+28*P^2*x^2+36*P*x^ 3-9*P^2*x-42*P*x^2-9*x^3+P^2+16*P*x+15*x^2-2*P-7*x+1, ((x^3-x^2)*C+x^2-3*x+1)/( (2*x^3-x^2)*C+x^3+3*x^2-4*x+1), {5*n*(n-5)*a(n)+(-119*n^2+787*n-648)*a(n-1)+( 1229*n^2-10087*n+14868)*a(n-2)+(-7197*n^2+70467*n-143460)*a(n-3)+(26143*n^2-\ 297479*n+757800)*a(n-4)+(-60249*n^2+783165*n-2374920)*a(n-5)+(85350*n^2-1256520 *n+4417836)*a(n-6)+(-64855*n^2+1091399*n-4430172)*a(n-7)+(11125*n^2-266597*n+ 1421844)*a(n-8)+(17186*n^2-281686*n+1129944)*a(n-9)+(-7979*n^2+157315*n-768168) *a(n-10)+(-1026*n^2+19878*n-95352)*a(n-11)+(305*n^2-7555*n+46716)*a(n-12)+14*(n -12)*(2*n-25)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a (6) = 58, a(7) = 162, a(8) = 472, a(9) = 1417, a(10) = 4346, a(11) = 13542, a( 12) = 42720, a(13) = 136145}, [1, 2, 4, 9, 22, 58, 162, 472, 1417, 4346, 13542, 42720, 136145, 437751, 1418948, 4634650, 15249652, 50539054, 168685877, 567008258, 1919280287, 6541888511, 22451967555, 77580651477, 269867121748, 944890787832, 3329458918299, 11804291862846, 42100187848741, 151008340323756, 544601614749250, 1974247386376834, 7192000368718769, 26321052896948679, 96748220827890322, 357068782147474374, 1322867613899216191, 4918439398728302329 , 18347657481720207130, 68655884590887466543, 257647589249638359845, 969480013556408583729, 3657087278888744591242, 13827399750833549472231, 52394426303080500649685, 198932176688402074701120, 756730782017972104817235, 2883632835635082873849820, 11006542020551426332304956, 42075419062584016863518513], 25802538835456992779112334180918114489430118999627\ 9915500726393595763977949643550693152931563661610405495614852356815347982777911\ 4649740778607199076974863492268655130923607607112080241124230049482565673245716\ 9738812803238395599693382335236455559989982149773835134264877298512775189041707\ 8610820412446987505476302869848750641075604569966549242234105847368781036870524\ 5709023898431447224606908260672962010743386074302580613227883700771698156613200\ 5128859231712070928037482908179839613635934951905772964302043838361029300108905\ 423149525258952230119063963748639705339054773820228889094440507740685260] ---------------------------- (A,B)= , {3}, {1, 2} [P^2*x^6-2*P^2*x^5+5*P^2*x^3-2*P^2*x^2-2*P*x^3-2*P^2*x+3*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^3-x^3+x^2+x-1), {-2*n*(n-2)*a(n)+(23*n-22)*(n-3)*a(n-1)-12*(7*n-13)*(n-\ 4)*a(n-2)+(74*n^2-688*n+1320)*a(n-3)+(157*n^2-743*n+594)*a(n-4)+(-294*n^2+2094* n-3348)*a(n-5)+(42*n^2-468*n+816)*a(n-6)+(133*n^2-863*n+1170)*a(n-7)+(-54*n^2+ 126*n+972)*a(n-8)+(10*n^2-62*n+36)*a(n-9)+(-10*n^2+176*n-744)*a(n-10)+4*(2*n-15 )*(n-8)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 12, a(6) = 27, a(7) = 65, a(8) = 170, a(9) = 476, a(10) = 1414, a(11) = 4402}, [1, 2, 3, 6 , 12, 27, 65, 170, 476, 1414, 4402, 14217, 47239, 160470, 554697, 1944429, 6894374, 24679227, 89056428, 323593154, 1182875890, 4346763457, 16047897424, 59494642961, 221391957005, 826635485088, 3095996467729, 11627999553452, 43785109077572, 165263075110456, 625136201372327, 2369480581679444, 8998064695282741, 34229987804891336, 130429508010142472, 497749807893531219, 1902266559894608027, 7279797339241753432, 27894639055580020246, 107014973343007643193, 411019170995750181084, 1580327248441487032549, 6082402342554517218958, 23432791399423074018674, 90359316461282626537899, 348740706582372659398031, 1347085844009079118750544, 5207558850390406044266742, 20146697747876572049909127, 77999143575202749660085632], 7126672999969147173875\ 7824389608686694067756863769964693846723855908432471546673529200633801223173442\ 1030624825877395397532809756787577348277163017054563413062058448754916936377510\ 6640767432124411986765039397483427289957650047173324077497698393680352724154666\ 6875954110373862133040063943768550865701048448806518549022691591439556721591645\ 2220789228174172271330933206078210754421486977465352366415149384686342619061976\ 1475610634358359406325360976379580632958079579332761379003085155426649941368518\ 2939950365157676226987832565533537353934806342411992461549451628233637896824989\ 666331732282690532838] ---------------------------- (A,B)= , {3}, {1, 3} [P^2*x^5-2*P^2*x^4+3*P^2*x^3+2*P*x^4+P^2*x^2-3*P*x^3-3*P^2*x+x^3+P^2+4*P*x-2*P- x+1, (-C*x^2+1)/((x^3-x^2)*C-x^2-x+1), {3*n*(n-3)*a(n)+(-39*n^2+189*n-144)*a(n-\ 1)+(185*n^2-1215*n+1624)*a(n-2)+(-377*n^2+3135*n-5800)*a(n-3)+(234*n^2-2706*n+ 6888)*a(n-4)+(271*n^2-1839*n+2504)*a(n-5)+(-466*n^2+4284*n-9272)*a(n-6)+(228*n^ 2-1938*n+3120)*a(n-7)+(-50*n^2+336*n+56)*a(n-8)+(10*n^2-246*n+1400)*a(n-9)+(-10 *n^2+216*n-1136)*a(n-10)+4*(2*n-19)*(n-10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3 ) = 3, a(4) = 6, a(5) = 11, a(6) = 23, a(7) = 49, a(8) = 114, a(9) = 282, a(10) = 752, a(11) = 2136}, [1, 2, 3, 6, 11, 23, 49, 114, 282, 752, 2136, 6419, 20177 , 65722, 220038, 752575, 2617356, 9225086, 32869376, 118173756, 428103561, 1561000315, 5724152972, 21094746474, 78081385891, 290153412992, 1082041532942, 4048096515461, 15188802201225, 57141764001633, 215499680826187, 814552975121593 , 3085305677072050, 11708946241510341, 44516367758971844, 169531911150654238, 646644715759725464, 2470129761807286018, 9448758120393904485, 36190556292498041169, 138787083316668900022, 532851896891188493414, 2048049696688358780055, 7879995339964975433358, 30348682834511739932672, 116993250695875320070539, 451407809934790174706267, 1743196191181198269424947, 6737136235927485251042663, 26057955616887299249838967], 22858069117388495978042\ 9508576070779340903817356065847728053695223212383027597041149512487256333551338\ 9809686781194166630013854475723014840505671185661510952230314128664860871357046\ 8925729474924360712412841892429128028751846793441884657821966558033603131046380\ 5087331542689085509790720006468689775269455785905446533651506620784051467941654\ 7997162659088997305460722247786066671762502014796829011738172830428397436977819\ 8037686511751619715386206003179313451341192726383647845686545015240833498635181\ 4870219188908495348143942441974072982672209724533613453373708720290580183904796\ 04312988111900205924] ---------------------------- (A,B)= , {3}, {1, 4} [4*P^2*x^7+8*P^2*x^6-10*P^2*x^5+4*P*x^6-13*P^2*x^4+12*P*x^5+12*P^2*x^3+3*P*x^4+ x^5+4*P^2*x^2-18*P*x^3+4*x^4-5*P^2*x-2*P*x^2+5*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((- x^3-x^2)*C-x^2-x+1)/((2*x^4-x^2)*C+2*x^3-x^2-2*x+1), {4*n*(n-4)*a(n)+(-66*n^2+ 378*n-300)*a(n-1)+(424*n^2-3154*n+4452)*a(n-2)+(-1259*n^2+11681*n-22962)*a(n-3) +(1223*n^2-15215*n+39966)*a(n-4)+(2237*n^2-20171*n+44802)*a(n-5)+(-5987*n^2+ 73757*n-223278)*a(n-6)+(1437*n^2-27687*n+115254)*a(n-7)+(6692*n^2-91664*n+ 318024)*a(n-8)+(-4265*n^2+73871*n-324234)*a(n-9)+(-2578*n^2+34288*n-100248)*a(n -10)+(2356*n^2-46912*n+239616)*a(n-11)+(-276*n^2+12564*n-103896)*a(n-12)+(-496* n^2+12760*n-82416)*a(n-13)+(464*n^2-11984*n+77472)*a(n-14)+96*(2*n-25)*(n-14)*a (n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 12, a(6) = 27, a(7) = 64, a(8) = 161, a(9) = 423, a(10) = 1156, a(11) = 3270, a(12) = 9548, a(13) = 28707, a(14) = 88679, a(15) = 280829}, [1, 2, 3, 6, 12, 27, 64, 161, 423, 1156, 3270, 9548, 28707, 88679, 280829, 909615, 3006510, 10117475, 34590114, 119906420, 420699046, 1491625011, 5337246223, 19250324469, 69918218727, 255509611890, 938809087515, 3466058862996, 12851622387877, 47835569399869, 178669271372940, 669441267850774, 2515449541238723, 9476588513789646, 35787214699168264, 135444299136083971, 513662199861347388, 1951703295647979674, 7428678446137002942, 28321691674149730823, 108140950942195190809, 413506712575506602631, 1583282099766787901441, 6069918110016233910538, 23298321680622777670689, 89527177883211187911962, 344387335333763614205117, 1326102723097091425257289, 5111195338444687226812758, 19717979685915931332499278], 15666175071463422553212040801022801780361208130606\ 5136485601098614671718024049477022001579042166161628592541936834129002304085491\ 7578030878595131174887040231059189774394780920775692005206044844640896277620819\ 3674833556330628337445787730893237902128162580802841352282438933022068302522706\ 2400909331510106985110208828894711045083996092377047192805456515445056541901984\ 7993909826646878634411618725908170029703223195655756317651909987400239847203226\ 7814660095851197415204995974463774191512798409751663280004701467691865563443251\ 588569956949997488099281259717828746106412649996636071108683570876169099] ---------------------------- (A,B)= , {3}, {1, 5} [P^2*x^7+14*P^2*x^6+2*P^2*x^5-26*P^2*x^4+9*P*x^5+5*P^2*x^3+20*P*x^4+13*P^2*x^2-\ 14*P*x^3+x^4-7*P^2*x-16*P*x^2+6*x^3+P^2+12*P*x+4*x^2-2*P-5*x+1, (-C*x^2-x^2-2*x +1)/((x^4+x^3-x^2)*C+3*x^3-3*x+1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+ (-843*n^2+7011*n-10320)*a(n-2)+(3671*n^2-36721*n+75024)*a(n-3)+(-8342*n^2+98980 *n-256344)*a(n-4)+(6636*n^2-100530*n+331104)*a(n-5)+(10243*n^2-117191*n+323220) *a(n-6)+(-24070*n^2+356654*n-1284084)*a(n-7)+(5857*n^2-116873*n+527820)*a(n-8)+ (19327*n^2-320327*n+1334700)*a(n-9)+(-10328*n^2+196660*n-934992)*a(n-10)+(-6106 *n^2+117422*n-564480)*a(n-11)+(2926*n^2-63986*n+347688)*a(n-12)+(735*n^2-17301* n+102012)*a(n-13)+18*(n-12)*(2*n-25)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 12, a(6) = 28, a(7) = 70, a(8) = 189, a(9) = 534, a(10) = 1562 , a(11) = 4679, a(12) = 14279, a(13) = 44243, a(14) = 138937}, [1, 2, 3, 6, 12, 28, 70, 189, 534, 1562, 4679, 14279, 44243, 138937, 441732, 1421018, 4623403, 15209230, 50571658, 169912684, 576649186, 1976035980, 6834189800, 23844287475, 83882469241, 297389006806, 1061989638706, 3817982541743, 13811728000779, 50251973940612, 183802141002789, 675544277103205, 2493959506887200, 9244792313836396, 34397762982095156, 128426437321957653, 481003193633392604, 1806759179340395394, 6804737957484396010, 25691595237454511614, 97220479498850881278, 368670091393579984144, 1400764431795071668051, 5331867668296163759319, 20329487165410382460706, 77634929699277212388942, 296911511730425930622373, 1137091918860331428702973, 4360396169063035225668812, 16741123085260250439411773], 11432025924630167511608861671390462791325316919955\ 1579845530036469704656745235770856804697319619391310738781254435804804112670108\ 4193983444085991747916225448973465664607629260890397036389097318556677248263062\ 5925803982182458290097678359320948671186610470663735861874866067050209577597459\ 5371558921436176048260150319825000282865552218919981056564508471474735496600267\ 5144177263213552609734300568389962206915490013356679287749490709154554673615842\ 8755004248190868893157174382259461144511114837123352993110701213301977678321242\ 823344910066052088826133167999444788528499146211751759886489517405974396] ---------------------------- (A,B)= , {3}, {2, 3} [P^2*x^5-2*P*x^5+2*P^2*x^3+x^5+3*P^2*x^2-3*P*x^3-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-\ 2*P-2*x+1, (C*x^3+x-1)/(C*x^3+2*x-1), {-3*n*(n-3)*a(n)+(44*n^2-210*n+160)*a(n-1 )+(-248*n^2+1602*n-2140)*a(n-2)+(664*n^2-5394*n+9920)*a(n-3)+(-810*n^2+8064*n-\ 18852)*a(n-4)+(239*n^2-3309*n+10312)*a(n-5)+(255*n^2-2451*n+5520)*a(n-6)+(-103* n^2+255*n+3364)*a(n-7)+(-28*n^2+1956*n-14192)*a(n-8)+(23*n^2-777*n+5344)*a(n-9) +(38*n^2-918*n+5392)*a(n-10)-2*(7*n-64)*(n-11)*a(n-11)+12*(n-12)*(2*n-21)*a(n-\ 12) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a(7) = 122, a(8) = 306, a(9) = 791, a(10) = 2113, a(11) = 5846, a(12) = 16771}, [1, 2, 4, 9, 21, 50, 122, 306, 791, 2113, 5846, 16771, 49876, 153504, 487519, 1591978, 5324476, 18171496, 63069941, 221986475, 790445897, 2841998505, 10301775073, 37601263462, 138060012164, 509524825867, 1888934355197, 7030645291110, 26261073585105, 98403782816684, 369794646019338, 1393304105852253, 5262236491077888, 19918169783223316, 75545593704365319, 287067662716664412, 1092740356493505916, 4166349056073952666, 15909407154506042038, 60837353528971386495, 232952231202124592486, 893119172343085321867, 3428204311381926584744, 13173772901216187255185, 50677321564141725370299, 195143036610856805912907, 752152995981311939369194, 2901700146246008655500753, 11203999604994417078068151, 43296243379246050131707978], 3672709737542087806253\ 9520747020104268409371771820615557213146594433915878330572336179531798007216107\ 1901221776972923827635758892993953342679686907326126699019805018543811272738900\ 0396087980507265175490694934639327762756875461213386346702468586061279854742958\ 4581195749762528738913580661947583212362517243694510426962148528111685629304133\ 6328736331660807387333543697409119875163593383832741846177028372932913413331966\ 4974306403628708083988236558488329275777962156636329040469154141671717618801254\ 2085943885526143783483475433337685141379726386185889049264820225828342718954808\ 526569644496358184365] ---------------------------- (A,B)= , {3}, {2, 4} [P^2*x^7-2*P^2*x^6-2*P*x^7-2*P^2*x^5+2*P*x^6+x^7+14*P^2*x^4+4*P*x^5-22*P^2*x^3-\ 19*P*x^4-x^5+18*P^2*x^2+28*P*x^3+7*x^4-7*P^2*x-26*P*x^2-9*x^3+P^2+12*P*x+9*x^2-\ 2*P-5*x+1, ((x^4-x^3+x^2)*C+x^3-x^2+2*x-1)/((x^4-2*x^3+x^2)*C+x^3-2*x^2+3*x-1), {-4*n*(n-4)*a(n)+(80*n^2-452*n+360)*a(n-1)+(-690*n^2+4992*n-7032)*a(n-2)+(3386* n^2-29672*n+57312)*a(n-3)+(-10520*n^2+107756*n-258624)*a(n-4)+(21809*n^2-254771 *n+721098)*a(n-5)+(-30917*n^2+404987*n-1309242)*a(n-6)+(29913*n^2-435453*n+ 1578090)*a(n-7)+(-18855*n^2+306879*n-1245486)*a(n-8)+(6672*n^2-130230*n+628476) *a(n-9)+(-856*n^2+36268*n-276624)*a(n-10)+(512*n^2-29504*n+265224)*a(n-11)+(-\ 1041*n^2+34407*n-264858)*a(n-12)+(584*n^2-17564*n+129936)*a(n-13)+(13*n^2-145*n -558)*a(n-14)+(-126*n^2+3594*n-25500)*a(n-15)+20*(n-16)*(2*n-27)*a(n-16) = 0, a (1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 56, a(7) = 146, a(8) = 388, a(9) = 1050, a(10) = 2894, a(11) = 8129, a(12) = 23290, a(13) = 68118, a( 14) = 203520, a(15) = 621386, a(16) = 1938660}, [1, 2, 4, 9, 22, 56, 146, 388, 1050, 2894, 8129, 23290, 68118, 203520, 621386, 1938660, 6177416, 20084831, 66545871, 224332590, 768159152, 2667204528, 9375466280, 33311774718, 119474093985, 432010812372, 1573273469160, 5765161679156, 21241421290398, 78639046428868, 292372481258252, 1091128183353795, 4085864555432173, 15346674634455609, 57801748015429791, 218250736013673002, 825970853159791176, 3132465478738057866, 11902792706721105397, 45309515270738319924, 172763543441472742379, 659761897817504187560, 2523192225552956239350, 9662766077325416488512, 37051393817881849745894, 142241691642391029221131, 546687086597433344017383, 2103357719438224545483964, 8100746454296964306853424, 31228541433982877138032390], 24236125263560595492363187959029531891428035372076\ 3971725341073878681412557329851719132450225448007430622504969316259520188040175\ 2283903329448117035493412914626717431418480470461859291194933582222849831620083\ 1369031551160110452494406706035670882009816725438792896155193667311807772869576\ 3947020281974179321206666537221180346703284855580602376908275637610798765111703\ 5312273290385428580315680722168191686418046533727504923897450611810138619495219\ 5726427042075223116604764190284048745560696008673457405332183127258234214305214\ 438972906152195839707746489222938983514065063448855856699412596928402953] ---------------------------- (A,B)= , {3}, {2, 5} [P^2*x^6-6*P^2*x^5-2*P*x^6+29*P^2*x^4+11*P*x^5+x^6-45*P^2*x^3-34*P*x^4-4*x^5+30 *P^2*x^2+58*P*x^3+11*x^4-9*P^2*x-46*P*x^2-18*x^3+P^2+16*P*x+17*x^2-2*P-7*x+1, ( (x^3-x^2)*C-x^3+2*x^2-3*x+1)/((2*x^3-x^2)*C-x^3+4*x^2-4*x+1), {-5*n*(n-5)*a(n)+ (119*n^2-787*n+648)*a(n-1)+(-1245*n^2+10203*n-15036)*a(n-2)+(7538*n^2-73510*n+ 149484)*a(n-3)+(-29260*n^2+330374*n-838896)*a(n-4)+(76214*n^2-977092*n+2941260) *a(n-5)+(-135528*n^2+1944696*n-6725892)*a(n-6)+(164291*n^2-2609803*n+10158768)* a(n-7)+(-133528*n^2+2327108*n-10043532)*a(n-8)+(70642*n^2-1337576*n+6313992)*a( n-9)+(-23399*n^2+473545*n-2397336)*a(n-10)+(4580*n^2-95782*n+499008)*a(n-11)+(-\ 414*n^2+8190*n-38376)*a(n-12)+(-10*n^2+392*n-3408)*a(n-13)+4*(n-14)*(2*n-27)*a( n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 57, a(7) = 154, a(8) = 429, a(9) = 1223, a(10) = 3551, a(11) = 10470, a(12) = 31293, a(13) = 94714, a(14) = 290146}, [1, 2, 4, 9, 22, 57, 154, 429, 1223, 3551, 10470, 31293, 94714, 290146, 899394, 2820864, 8951894, 28744625, 93390321, 306984971, 1020778943, 3432679847, 11669915365, 40090567152, 139101429881, 487176139338, 1721231901026, 6130810202314, 22001252694904, 79498717849542, 289067515580733, 1057116548482881, 3886026624229975, 14352943204797082, 53240210117216592, 198258305973109354, 740904390169229303, 2777757542739359536, 10444911617984792123, 39380717323725723630, 148844564602980019107, 563852582205825402010, 2140442589600015306940, 8140996019923606671307, 31018825081142068719957, 118383550493172816994245, 452507377322725018184023, 1732141358050247863157889, 6639323760345163971144185, 25480654190879579469745400], 17225403854916304579494086003369471483601377182215\ 7359849279881300195966153877492404516445658230939958933425537965039906087023007\ 4675289423346565363668360680017289476351878316392996537160712800204637369742492\ 6143819150478607423373259594373402671435708061412278964235105347204321000291288\ 4060725810970898765612389091006485473410323489896986826632002657806692747359165\ 9640458401972481473109538109451676304206001501974842819835317345175277670765480\ 5513240856360875178536681046676573591601807932172947072845034287372110228762400\ 594099441796846729464061414602568697975599488129338316242399179112807846] ---------------------------- (A,B)= , {3}, {3, 4} [P^2*x^7-3*P^2*x^5+2*P*x^6-4*P^2*x^4+2*P*x^5+9*P^2*x^3-P*x^4+x^5+P^2*x^2-12*P*x ^3+2*x^4-4*P^2*x+2*P*x^2+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^ 4-x^3)*C+x^3-x^2-2*x+1), {4*n*(n-4)*a(n)+(-59*n^2+341*n-270)*a(n-1)+(324*n^2-\ 2442*n+3444)*a(n-2)+(-743*n^2+7037*n-13854)*a(n-3)+(221*n^2-3785*n+10878)*a(n-4 )+(1892*n^2-19826*n+51444)*a(n-5)+(-2435*n^2+30713*n-95142)*a(n-6)+(-626*n^2+ 8576*n-30672)*a(n-7)+(2133*n^2-34551*n+140778)*a(n-8)+(-230*n^2+6944*n-42432)*a (n-9)+(-606*n^2+9906*n-41076)*a(n-10)+(140*n^2-4820*n+35928)*a(n-11)+(66*n^2-\ 426*n-3084)*a(n-12)-36*(2*n-25)*(n-14)*a(n-13)-6*(n-11)*(n-14)*a(n-14)+12*(2*n-\ 25)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a(7) = 121, a(8) = 297, a(9) = 740, a(10) = 1875, a(11) = 4844, a(12) = 12800, a(13) = 34712, a(14) = 96913, a(15) = 279240}, [1, 2, 4, 9, 21, 50, 121, 297, 740, 1875, 4844, 12800, 34712, 96913, 279240, 831417, 2557596, 8115651, 26491594, 88655882, 303076467, 1054726582, 3725047535, 13316579259, 48083008546 , 175057938265, 641757808827, 2366424216953, 8769548807303, 32638652865431, 121933486244840, 457045791049953, 1718252163858259, 6477025204905697, 24474706517765956, 92687381504787734, 351727164909999369, 1337225973712511973, 5092807194441420643, 19427199208179068085, 74219248039672152413, 283944943208220778187, 1087739814024004479727, 4172101943511854104294, 16021111877235430344520, 61589950540609183239607, 237017569592011560819886, 913021208105483296303901, 3520374635953704731240070, 13585772461438598674043386 ], 1095145136471159365209915760578929081186961754903785676518026272897090953855\ 2450695564934323590827787736682151310758389007538845782851189772828316017376884\ 7387118781020730209162201941592364130646346362606671742603287905635915156079280\ 1645207515846730336945608009121602951391189409490828781177564960584564725635702\ 5601056937968706603143723148082329999209851054923253815439107363765642473396804\ 9216900043211784506442012361889029183166868251841035678140911076900709031111698\ 0457479530098903117441545374785747328317671013385987824222531741816808182811075\ 1658181141448672275680012344259571913774331394] ---------------------------- (A,B)= , {3}, {3, 5} [P^2*x^6+8*P^2*x^5-8*P^2*x^4-5*P*x^5-10*P^2*x^3+10*P*x^4+x^5+16*P^2*x^2+8*P*x^3 -2*x^4-7*P^2*x-22*P*x^2-x^3+P^2+12*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x+1)/((2 *x^3-x^2)*C+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+(867*n^ 2-7185*n+10572)*a(n-2)+(-4107*n^2+40629*n-82740)*a(n-3)+(11585*n^2-133429*n+ 340968)*a(n-4)+(-19189*n^2+254357*n-778848)*a(n-5)+(15710*n^2-244288*n+889596)* a(n-6)+(647*n^2+18437*n-161772)*a(n-7)+(-11987*n^2+183007*n-689316)*a(n-8)+( 7188*n^2-126504*n+551376)*a(n-9)+(603*n^2-11379*n+55056)*a(n-10)+(-1270*n^2+ 27470*n-148440)*a(n-11)+(35*n^2-1225*n+9540)*a(n-12)+10*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a(7) = 127, a(8) = 323, a(9) = 836, a(10) = 2199, a(11) = 5876, a(12) = 15957, a(13) = 44079}, [1, 2, 4, 9, 21, 51, 127, 323, 836, 2199, 5876, 15957, 44079, 124012, 355832, 1042667, 3123363, 9570708, 30001199, 96155803, 314763098, 1050754591, 3570595954, 12327034026, 43153369179, 152902895938, 547446939788, 1977699248923 , 7199872364153, 26385961291553, 97255909086726, 360271175233058, 1340426783057376, 5006466732460601, 18763152277285370, 70535588722173141, 265891976935986804, 1004808055067032012, 3805789829702950516, 14444636763184381791, 54928274066054309597, 209242219970646205698, 798382288914271407836, 3050923073729894779242, 11675255773510615258620, 44738038096788747316665, 171643515907771180312682, 659304073511343242433124, 2535262399537368129283494, 9759158234763288683954452], 719079792812490876672042\ 3116326942575907516122358605052668625337985308106006428120313012156038346597206\ 3351463380538916603750254747179682287661320227669209476827336621650246479653491\ 5883838810980704749744039754700752040369811524365835621301432614616295093361753\ 1968516777660735839130464343000053222112739886035154158066531353436293802529191\ 1822553009461330542549605274416778883271132938744802989496153910284831168781109\ 7571310121399625337285555296732391405227275969826321476740096766192515115423496\ 3447409986149299186675311002135845882453763251409205242650377648760362693048433\ 347261378020418320] ---------------------------- (A,B)= , {3}, {4, 5} [P^2*x^9+4*P^2*x^8+6*P^2*x^7+3*P^2*x^6+2*P*x^7-10*P^2*x^5+6*P*x^6-12*P^2*x^4+11 *P*x^5+8*P^2*x^3+6*P*x^4+x^5+8*P^2*x^2-16*P*x^3+2*x^4-6*P^2*x-8*P*x^2+6*x^3+P^2 +10*P*x+x^2-2*P-4*x+1, (-C*x^3-x^2-2*x+1)/((x^5+x^4-x^3)*C+x^4+2*x^3-3*x+1), {5 *n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+(682*n^2-5714*n+8400)*a(n-2)+(-2524*n^ 2+25496*n-52080)*a(n-3)+(4369*n^2-52745*n+136872)*a(n-4)+(-842*n^2+18106*n-\ 66456)*a(n-5)+(-7731*n^2+104847*n-345216)*a(n-6)+(6224*n^2-105940*n+426408)*a(n -7)+(6720*n^2-100560*n+375552)*a(n-8)+(-5917*n^2+113705*n-533952)*a(n-9)+(-4787 *n^2+84727*n-375792)*a(n-10)+(1562*n^2-43954*n+282072)*a(n-11)+(2458*n^2-51374* n+269568)*a(n-12)+(561*n^2-3849*n-28488)*a(n-13)+(-452*n^2+13780*n-100824)*a(n-\ 14)+(-166*n^2+3338*n-15360)*a(n-15)+(124*n^2-3980*n+31440)*a(n-16)+(106*n^2-\ 3194*n+24048)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 57, a(7) = 153, a(8) = 420, a(9) = 1170, a(10) = 3294, a(11) = 9354, a(12) = 26771, a(13) = 77213, a(14) = 224508, a(15) = 658527, a(16) = 1950247, a(17) = 5837328, a(18) = 17677231}, [1, 2, 4, 9, 22, 57, 153, 420, 1170, 3294, 9354, 26771, 77213, 224508, 658527, 1950247, 5837328, 17677231, 54220115, 168613652, 532090143, 1704951296, 5549063814, 18344739870, 61580776476, 209770958888, 724483658276, 2534162077495, 8967237984278, 32061544940419, 115692817062774, 420871048005106, 1541976674933452, 5684657947141671, 21071122978140612, 78475178946328823, 293484042059348624, 1101609580488281118, 4148373911379591789, 15666746896283486635, 59319549137475698758, 225124149252691548027, 856160641962419737101, 3262232124476800516234, 12451734656918179682822, 47603487728157723259241, 182258625671484213758142, 698764691669468864162448, 2682415687387699607071396, 10309483428127291026228634], 73065626082018664616641235332541158052174001845328\ 8521090648845294493092452900474040900359290451573692339874839979518375580414538\ 1646638323562821527085343107269583690345013077479880030849174516267747295025637\ 8260760156554443529427411328202735518069859258739314223865685246441859408360484\ 3346976703804417787031947481061437681913122655008415450060000868054946102864235\ 4420783554072670935863235697779194929553326546025806292993384507639733718898805\ 4374090124142644627113251797086633333921937012134818065430562700509038695601666\ 74263647049075081588694637898974790296401446904869384977253331887236029] ---------------------------- (A,B)= , {3}, {1, 2, 3} [P^2*x^7+P^2*x^5+2*P^2*x^4+P^2*x^3-P^2*x^2+P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+ 1, -1/(C*x^4+x^2+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)+(-126*n^2+852* n-1140)*a(n-2)+(145*n^2-1269*n+2360)*a(n-3)+(58*n^2-390*n+596)*a(n-4)+(-92*n^2+ 1128*n-3124)*a(n-5)+(-119*n^2+1107*n-2488)*a(n-6)+(3*n^2-285*n+1308)*a(n-7)+( 108*n^2-1140*n+3168)*a(n-8)+(-42*n^2+120*n+684)*a(n-9)+(34*n^2-372*n+992)*a(n-\ 10)+(23*n^2-309*n+1024)*a(n-11)+2*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 22, a(7) = 45, a(8) = 99, a(9) = 233, a(10) = 594, a(11) = 1633, a(12) = 4803}, [1, 2, 3, 6, 11, 22, 45, 99, 233, 594 , 1633, 4803, 14920, 48340, 161624, 553208, 1927363, 6807517, 24307643, 87570150, 317828942, 1160855070, 4263256111, 15732283464, 58303199438, 216894143144, 809643878470, 3031737195989, 11384670991346, 42862433630526, 161759437788865, 611813168497384, 2318747584482650, 8804616219635255, 33491389848078440, 127605942762582704, 486942618794758493, 1860854093192209989, 7120931148239607510, 27284550133779393510, 104669685850656191960, 401994711278831614409, 1545569607672081819945, 5948414309014238018136, 22915837330131340388409, 88363169233952721905961, 341026822217351123195086, 1317254028019969106947587, 5092107479420028938028656, 19699583130770140383835857], 17436009229630571272379901020695411511260669852090\ 9818892025212102137093551191776222137027482611566149906963230321657586049536618\ 5555320322719471672086773704029667889857806545076803982847708580475581528566085\ 3391812674167044909862414889434033976826100465044780415074534044617907567008591\ 7556378306092405516325299727010444091488103366226878295912080494637265989730243\ 1282880506859505384632770589673906446400590261787356573385141017126639820446733\ 4546407480081588687304247077233043785442088966819039212932916316698681782297128\ 406343810503096736739365789531577040559241824973348853099810474606379914] ---------------------------- (A,B)= , {3}, {1, 2, 4} [P^2*x^9-5*P^2*x^7+5*P^2*x^6+7*P^2*x^5-2*P*x^6-12*P^2*x^4-2*P*x^5+2*P^2*x^3+9*P *x^4+7*P^2*x^2-4*P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-\ 1)/((x^5-x^4-x^3+x^2)*C+x^4-x^3+2*x-1), {-2*n*(n-4)*a(n)+(33*n^2-189*n+150)*a(n -1)+(-221*n^2+1631*n-2298)*a(n-2)+(764*n^2-6896*n+13428)*a(n-3)+(-1379*n^2+ 15017*n-37218)*a(n-4)+(877*n^2-13063*n+42846)*a(n-5)+(1215*n^2-10167*n+17058)*a (n-6)+(-2702*n^2+32852*n-96876)*a(n-7)+(1377*n^2-21207*n+77682)*a(n-8)+(990*n^2 -10188*n+22320)*a(n-9)+(-1372*n^2+18808*n-62172)*a(n-10)+(290*n^2-5552*n+26496) *a(n-11)+(202*n^2-1498*n-4476)*a(n-12)+(-81*n^2+795*n+498)*a(n-13)+(47*n^2-1469 *n+10626)*a(n-14)+(-44*n^2+1262*n-8820)*a(n-15)-3*(n-11)*(n-14)*a(n-16)+6*(2*n-\ 25)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 12, a(6) = 26, a(7) = 58, a(8) = 135, a(9) = 327, a(10) = 828, a(11) = 2195, a(12) = 6095, a(13) = 17697, a(14) = 53542, a(15) = 167995, a(16) = 543785, a(17) = 1806617}, [1, 2, 3, 6, 12, 26, 58, 135, 327, 828, 2195, 6095, 17697, 53542, 167995, 543785, 1806617, 6132298, 21184349, 74245305, 263323705, 943222092, 3406911015, 12393473028, 45361027556, 166911559346, 617055074660, 2290684639363 , 8535304032383, 31909779323996, 119658251172491, 449943414025492, 1696163449885848, 6408895780367382, 24267574976954768, 92072137340223121, 349967259635315557, 1332505961350259772, 5081644376075634249, 19408340429903436904, 74230336794992941140, 284280398281600801990, 1090063122046453212584, 4184709133843810494362, 16082737954926794628408, 61874287159557776097426, 238282633946317576214916, 918511898709906649302239, 3543784170762152050490459, 13684254968860450599580736], 11248139651606498647132\ 8448334680232191711634375200800755845635025840858942781436532752378212817598317\ 4512978371997166725180884765305049449574551947588935261700426224086051455394819\ 6038319955079147834563883556815288540370591711802127308722071653281358246690736\ 4744662271061997034864518632387670573732923079518670573296234277339285924475193\ 1216881662980867261124099606812653581125049892225244454168445617625924070067652\ 4375029961373741165336933847093690838018387969071347092444107509004670013909752\ 0150391380315547894540829554440235876070992561563706682822856631306543657795981\ 54993921443070830718] ---------------------------- (A,B)= , {3}, {1, 2, 5} [P^2*x^8-4*P^2*x^7+5*P^2*x^6+13*P^2*x^5-19*P^2*x^4-3*P*x^5-4*P^2*x^3+16*P*x^4+ 15*P^2*x^2-7*P^2*x-20*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^ 4+x^3-x^2)*C-x^4+2*x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+ (859*n^2-7127*n+10488)*a(n-2)+(-3956*n^2+39292*n-80136)*a(n-3)+(10395*n^2-\ 121071*n+311328)*a(n-4)+(-14133*n^2+194433*n-610248)*a(n-5)+(3342*n^2-80136*n+ 364188)*a(n-6)+(17353*n^2-226985*n+713700)*a(n-7)+(-20934*n^2+330390*n-1271244) *a(n-8)+(1802*n^2-44920*n+227616)*a(n-9)+(10547*n^2-180169*n+782484)*a(n-10)+(-\ 5263*n^2+95423*n-439812)*a(n-11)+(-587*n^2+14827*n-87588)*a(n-12)+(920*n^2-\ 19810*n+106392)*a(n-13)+(-243*n^2+5373*n-29676)*a(n-14)+6*(n-12)*(2*n-25)*a(n-\ 15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 12, a(6) = 27, a(7) = 64, a(8) = 161, a(9) = 422, a(10) = 1146, a(11) = 3204, a(12) = 9192, a(13) = 26998, a(14) = 81064, a(15) = 248556}, [1, 2, 3, 6, 12, 27, 64, 161, 422, 1146, 3204, 9192, 26998, 81064, 248556, 777513, 2478901, 8046800, 26564343, 89073444, 302976936, 1044041016, 3640152746, 12825963494, 45618374118, 163614820308, 591203465101, 2150431961107, 7868174652334, 28940490632277, 106949933890364, 396906365076039, 1478583587103489, 5527069411663136, 20725091768860113, 77934413666936864, 293823882348938544, 1110392462999808709, 4205475389692191095 , 15959890101995333154, 60681465837665903345, 231119056834149801372, 881692598542971446620, 3368634194098866039998, 12888541628224967759934, 49377491005085143387352, 189406606369557319299206, 727395692531326144510406, 2796579573583122352282675, 10763121940479726817873163], 78723082752792537988045\ 3705517594999231815739148341333513844473344208519851627050462833973217228268559\ 6917969516236911828583074366612333244882478890157277583209589539433285338248855\ 1209337340567780873868624048365502691786557955927894251766487029897932422802043\ 2615093900113991032493924699297828884235233827038911952240695424678059195792930\ 2829646861138056595056411521778500483157164104108598057972450022726053939809583\ 2090825257132989948868810123221189912132641998426910810512332102396981100936435\ 7027387100877107209201120711305845425982880647664098040066290129024841911470659\ 5997687290595749154] ---------------------------- (A,B)= , {3}, {1, 3, 4} [P^2*x^7-6*P^2*x^5+2*P*x^6+3*P^2*x^4+2*P*x^5+8*P^2*x^3-7*P*x^4+x^5-4*P^2*x^2-6* P*x^3+2*x^4-2*P^2*x+8*P*x^2+P^2+2*P*x-3*x^2-2*P+1, (-C*x^3-x^2+1)/((x^4-x^3)*C+ x^3-2*x^2-x+1), {4*n*(n-4)*a(n)-3*(15*n-14)*(n-5)*a(n-1)+(148*n^2-1180*n+1656)* a(n-2)+(19*n^2+197*n-546)*a(n-3)+(-872*n^2+8276*n-18720)*a(n-4)+(955*n^2-10969* n+29694)*a(n-5)+(1296*n^2-15324*n+46008)*a(n-6)+(-2317*n^2+31753*n-109242)*a(n-\ 7)+(-253*n^2+2143*n-1074)*a(n-8)+(1596*n^2-24168*n+91032)*a(n-9)+(-449*n^2+8861 *n-45138)*a(n-10)+(-160*n^2+1096*n+5784)*a(n-11)+(174*n^2-3954*n+23076)*a(n-12) +(-120*n^2+3324*n-22680)*a(n-13)-6*(n-11)*(n-14)*a(n-14)+12*(2*n-25)*(n-14)*a(n -15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 22, a(7) = 44, a(8) = 92, a(9) = 199, a(10) = 453, a(11) = 1092, a(12) = 2810, a(13) = 7727, a(14) = 22611, a(15) = 69796}, [1, 2, 3, 6, 11, 22, 44, 92, 199, 453, 1092, 2810, 7727, 22611, 69796, 224929, 749392, 2560469, 8916982, 31511811, 112644255, 406389837, 1477287845, 5404461255, 19879653246, 73472894809, 272686239878, 1015824145724, 3796895657767, 14234926328062, 53515569381517, 201697995078000, 761957593814166, 2884628738262102, 10942337418927269, 41584367615013862, 158305200139385622, 603609645578368823, 2304988255121612807, 8814397950423625054, 33751376119100868448, 129399302250227357014, 496687896900966249443, 1908615796059330195806, 7341944453696859418249, 28270772869770009285037, 108962344822605300404563, 420346233316909820304774, 1622972244672092636598619, 6271491178324200386838490], 529788961857815520544541\ 1424160111575586563013597198773522947455100790363395673518809652950077453139655\ 9510537482355359171247750027789483886151411486060363515528557478345271311684966\ 1656655178261564161278863084937180234200134430142763247277251476555167975592011\ 8768108346883809628493264223612344884539786037220907410810755367144015792129114\ 7960274221270328823857090464678901329217522024128137229390237672896048227815266\ 4874634135805742752375997710344778570402794170529933097756680526400464213501295\ 5839495581324338037416466441402032024542101466168006400241210778413137463690977\ 218928104667078626] ---------------------------- (A,B)= , {3}, {1, 3, 5} [P^2*x^7+8*P^2*x^6-4*P^2*x^5-14*P^2*x^4+7*P*x^5+9*P^2*x^3+8*P*x^4+5*P^2*x^2-14* P*x^3+x^4-5*P^2*x-4*P*x^2+4*x^3+P^2+8*P*x-2*P-3*x+1, (-C*x^2-x^2-x+1)/((x^4+x^3 -x^2)*C+2*x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-545*n^2+ 4597*n-6744)*a(n-2)+(1721*n^2-17551*n+35880)*a(n-3)+(-2170*n^2+27344*n-72480)*a (n-4)+(-1642*n^2+14120*n-28104)*a(n-5)+(7661*n^2-100789*n+319308)*a(n-6)+(-5040 *n^2+79788*n-299892)*a(n-7)+(-5913*n^2+87345*n-326076)*a(n-8)+(7727*n^2-132847* n+570972)*a(n-9)+(756*n^2-10572*n+33600)*a(n-10)+(-3290*n^2+64474*n-315240)*a(n -11)+(280*n^2-6524*n+36864)*a(n-12)+(313*n^2-7391*n+43716)*a(n-13)+14*(n-12)*(2 *n-25)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 23, a(7) = 48, a(8) = 107, a(9) = 245, a(10) = 587, a(11) = 1459, a(12) = 3782, a(13) = 10212, a(14) = 28743}, [1, 2, 3, 6, 11, 23, 48, 107, 245, 587, 1459, 3782, 10212, 28743, 84186, 255946, 804736, 2605823, 8652919, 29347128, 101301340, 354821171, 1257990117, 4505591518, 16275657753, 59221812353, 216838104832, 798253477270, 2952602997170, 10967014085029, 40887630408835, 152949858661183, 573877094630934, 2159141201175694, 8143889826033697, 30787995601918413, 116640904810191342, 442762601179394723, 1683759707594460177, 6413921921960292040, 24471047546062815240, 93502381319133838388, 357761946969290801965, 1370663467146802762267, 5257749053816116561789, 20191619846468292090640, 77627795831133694684974, 298753414580719676232063, 1150892536999740013240391, 4437736173589571968580929], 345493187617214994140557\ 0779899122398367743823392881182549527764731771022663031860456530134485760926547\ 9100883283352410454379074820177843878003981682395820728300838456523277465010951\ 3166624553982193815844881366751409694942537742323608831296139737497011164833610\ 8523043831013397571469368807404224074090388071533285673382053709741102745798447\ 7579013921371006103133227033941739008370805912926493682786542650211865784442043\ 2673055637258435937111415733727052401028123759392534370772254768399866276586059\ 5515359604505097003501402796219960884162575480943219242089153034807296975031750\ 833854512758224873] ---------------------------- (A,B)= , {3}, {1, 4, 5} [4*P^2*x^9+8*P^2*x^8+8*P^2*x^7+4*P*x^8-10*P^2*x^6+12*P*x^7-21*P^2*x^5+18*P*x^6+ x^7+4*P^2*x^4+7*P*x^5+4*x^6+14*P^2*x^3-20*P*x^4+8*x^5-P^2*x^2-16*P*x^3+9*x^4-4* P^2*x+6*P*x^2+2*x^3+P^2+6*P*x-4*x^2-2*P-2*x+1, ((-x^4-x^3)*C-x^3-2*x^2-x+1)/((2 *x^5-x^3)*C+2*x^4+2*x^3-2*x^2-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1 )+(392*n^2-3370*n+4932)*a(n-2)+(-722*n^2+7834*n-16128)*a(n-3)+(-731*n^2+6349*n-\ 13932)*a(n-4)+(3763*n^2-47447*n+138480)*a(n-5)+(-222*n^2+10398*n-47040)*a(n-6)+ (-9251*n^2+133879*n-481236)*a(n-7)+(2250*n^2-47046*n+217032)*a(n-8)+(13256*n^2-\ 224962*n+966312)*a(n-9)+(-1614*n^2+45750*n-284040)*a(n-10)+(-11028*n^2+222108*n -1137120)*a(n-11)+(-938*n^2-7484*n+196416)*a(n-12)+(4946*n^2-128170*n+850344)*a (n-13)+(648*n^2+4248*n-149568)*a(n-14)+(-2264*n^2+79840*n-676368)*a(n-15)+(-328 *n^2+11216*n-96864)*a(n-16)+(1416*n^2-44760*n+354144)*a(n-17)+(1040*n^2-33520*n +269760)*a(n-18)+160*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 12, a(6) = 27, a(7) = 63, a(8) = 154, a(9) = 386, a(10) = 990, a(11) = 2587, a(12) = 6887, a(13) = 18688, a(14) = 51769, a(15) = 146666, a(16) = 425704, a(17) = 1267623, a(18) = 3874966, a(19) = 12158144}, [1, 2, 3, 6, 12, 27, 63, 154, 386, 990, 2587, 6887, 18688, 51769, 146666, 425704, 1267623, 3874966, 12158144, 39115172, 128808901, 433209457, 1484311015, 5168244319, 18244540003, 65160135982, 235018487640, 854730713589, 3130504525183, 11534715974630, 42720865859501, 158933296359492, 593591179944534, 2224628476972199, 8362953138579106, 31525081215654568, 119132817838326847, 451218740667670228, 1712534699001981548, 6512019025632146058, 24805777402210941618, 94644531240755164329, 361655220478657955364, 1383907017289644067345, 5302650948123178245882, 20343141597308657840243, 78135808430344283141917, 300441876319947778733757, 1156439155783029674526792, 4455669853591127609694111], 338827873433133729635434640073961603583374867452055\ 8571718483991637518156534639493377027610089170679514722662531943821487497723253\ 7210691362892898790019278395796915898049730003383944983341452680617265020952389\ 7394822394420766177616707842099215887390608623603905720438997377026497596467295\ 8427906544893183038544535313657808733465013719135064308005975592909436709236686\ 7012205904872453801232725961035117716999877049072389207970490920895937612342780\ 5701419246277263634002231262615960366017426459198870617722082843050744841077527\ 4817406414288910945901023562999364525552384825432647528016833739891225] ---------------------------- (A,B)= , {3}, {2, 3, 4} [P^2*x^7+2*P^2*x^6-2*P*x^7-4*P*x^6+x^7+6*P^2*x^4+2*x^6-3*P^2*x^3-9*P*x^4+4*P^2* x^2+6*P*x^3+3*x^4-4*P^2*x-4*P*x^2-3*x^3+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^4+x^3+x-1 )/(C*x^4+x^3+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-342*n^2+2550* n-3588)*a(n-2)+(1007*n^2-9083*n+17598)*a(n-3)+(-1707*n^2+17721*n-42630)*a(n-4)+ (2069*n^2-23375*n+64746)*a(n-5)+(-2349*n^2+28407*n-86310)*a(n-6)+(2081*n^2-\ 27617*n+91722)*a(n-7)+(-1170*n^2+16026*n-53100)*a(n-8)+(678*n^2-10068*n+34800)* a(n-9)+(-186*n^2+4950*n-31260)*a(n-10)+(-16*n^2-332*n+6576)*a(n-11)+(53*n^2-635 *n+42)*a(n-12)+(158*n^2-5228*n+41352)*a(n-13)+9*(3*n-41)*(n-14)*a(n-14)+2*(53*n -722)*(n-15)*a(n-15)+20*(n-16)*(2*n-27)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 49, a(7) = 115, a(8) = 273, a(9) = 657, a(10) = 1607, a(11) = 4010, a(12) = 10255, a(13) = 27010, a(14) = 73609, a(15) = 208310 , a(16) = 613219}, [1, 2, 4, 9, 21, 49, 115, 273, 657, 1607, 4010, 10255, 27010 , 73609, 208310, 613219, 1876788, 5955932, 19516538, 65714091, 226264721, 793226584, 2821162402, 10149727427, 36855482938, 134842472046, 496434484408, 1837283029461, 6830257294658, 25490971465932, 95459591245880, 358568563315974, 1350547499219722, 5099419904665078, 19297926468727593, 73181081213013769, 278045248418912112, 1058277462496150965, 4034568919723606507, 15404951194487227274, 58904193109047796519, 225536153878163177944, 864639874350537431887, 3318728525606281628033, 12752537534977728284143, 49055012857597619925402, 188889464195687047996741, 728026549507873184877880, 2808543458302088492642226, 10844021707770021628060962], 88965917422523445856459\ 4625075329967693794233224616645763450737783631112942702286450847211068193124695\ 6779101176785471278101676784283530915103840432291925300967926229509976916532248\ 6984705916812760290564062367104869640684102562790856775206987879251214268145590\ 4189607044002399965855698544745474221834080408282076938870243644335694515543938\ 6159294794810259955597095106096075511695495678827436641928971461510900004502495\ 3127816704085601062884404935695619863877288017945083687965699514997687716786738\ 0632502106268848919343075141595234043561317972271637852517367019406692537769244\ 8199435901434382340] ---------------------------- (A,B)= , {3}, {2, 3, 5} [P^2*x^6-2*P^2*x^5-2*P*x^6+11*P^2*x^4+5*P*x^5+x^6-21*P^2*x^3-14*P*x^4-2*x^5+18* P^2*x^2+26*P*x^3+5*x^4-7*P^2*x-26*P*x^2-8*x^3+P^2+12*P*x+9*x^2-2*P-5*x+1, ((x^3 -x^2)*C-x^3+x^2-2*x+1)/((2*x^3-x^2)*C-x^3+2*x^2-3*x+1), {-5*n*(n-5)*a(n)+(101*n ^2-673*n+552)*a(n-1)+(-883*n^2+7301*n-10740)*a(n-2)+(4406*n^2-43306*n+88044)*a( n-3)+(-13940*n^2+158362*n-402480)*a(n-4)+(29388*n^2-378462*n+1141284)*a(n-5)+(-\ 42238*n^2+608138*n-2108892)*a(n-6)+(41671*n^2-663707*n+2592264)*a(n-7)+(-28158* n^2+490734*n-2122068)*a(n-8)+(13032*n^2-243834*n+1140480)*a(n-9)+(-4191*n^2+ 81105*n-392208)*a(n-10)+(920*n^2-17506*n+80880)*a(n-11)+(-112*n^2+1964*n-7344)* a(n-12)+(-2*n^2+100*n-960)*a(n-13)+4*(n-14)*(2*n-27)*a(n-14) = 0, a(1) = 1, a(2 ) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a(7) = 121, a(8) = 297, a(9) = 739, a(10) = 1865, a(11) = 4780, a(12) = 12466, a(13) = 33160, a(14) = 90208}, [1, 2, 4, 9, 21, 50, 121, 297, 739, 1865, 4780, 12466, 33160, 90208, 251635, 721426, 2129098, 6471931, 20251870, 65131206, 214761317, 723959980, 2487460464, 8686158508, 30746880029, 110078928871, 397855350802, 1449436997545, 5316048964553, 19609282694196, 72689222966206, 270603678395417, 1011172702904536, 3791044894550337, 14255446136321409, 53748056816319986, 203140564487113258, 769467610343190793, 2920549444775920362, 11105816246031690077, 42304623486507644663, 161407398061520680156, 616751259928458535485, 2359964262968364803994, 9042148117783913441393, 34687605643881205089397, 133223987814455042523913, 512233041725833615833618, 1971532257117620427160109, 7595695582344796697301277], 575086533658548384755255\ 1352604459558683783021270630389973420720105211787488686632895704890327388126807\ 4285276920627033028764058622110421698409938008662311345804236893278721887940592\ 5330254293585812630169132774372087763031016438117288030392172689711095544504754\ 2279415830770148902063981083792182529896408033753168846962359061562040181649084\ 6967639972170490440906775117310021844451472323449686699608530488546383720742182\ 6094913775446458342856030140144473364442284997778251973650486159497578067378970\ 1862363835507007886709672833370060459283008458366769195594755734820927597823305\ 782148401023349639] ---------------------------- (A,B)= , {3}, {2, 4, 5} [P^2*x^9-2*P^2*x^8-2*P*x^9+P^2*x^7+2*P*x^8+x^9-3*P^2*x^6-2*P*x^7+13*P^2*x^5+6*P *x^6+2*x^7-15*P^2*x^4-17*P*x^5-x^6+P^2*x^3+18*P*x^4+7*x^5+10*P^2*x^2-6*P*x^3-5* x^4-6*P^2*x-12*P*x^2+3*x^3+P^2+10*P*x+3*x^2-2*P-4*x+1, ((x^5-x^4+x^3)*C+x^4+2*x -1)/((x^5-2*x^4+x^3)*C+x^4-x^3-x^2+3*x-1), {-5*n*(n-5)*a(n)+(92*n^2-616*n+504)* a(n-1)+(-698*n^2+5830*n-8568)*a(n-2)+(2781*n^2-27831*n+56736)*a(n-3)+(-5956*n^2 +70124*n-180504)*a(n-4)+(5257*n^2-75893*n+242568)*a(n-5)+(4231*n^2-41417*n+ 96096)*a(n-6)+(-15230*n^2+209788*n-717264)*a(n-7)+(13962*n^2-207396*n+764184)*a (n-8)+(-2288*n^2+16258*n+36552)*a(n-9)+(-5065*n^2+125219*n-743280)*a(n-10)+( 3706*n^2-104534*n+699216)*a(n-11)+(-839*n^2+36421*n-320352)*a(n-12)+(-272*n^2+ 7732*n-46296)*a(n-13)+(1161*n^2-45993*n+415104)*a(n-14)+(-1615*n^2+59903*n-\ 537672)*a(n-15)+(1022*n^2-36334*n+320376)*a(n-16)+(-379*n^2+12731*n-106944)*a(n -17)+(246*n^2-8322*n+70008)*a(n-18)+(-182*n^2+6454*n-56784)*a(n-19)+28*(n-20)*( 2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 22, a(6) = 56, a(7) = 145, a(8) = 379, a(9) = 998, a(10) = 2647, a(11) = 7075, a(12) = 19074, a(13) = 51933, a(14) = 143026, a(15) = 399177, a(16) = 1131356, a(17) = 3263354, a(18) = 9600103, a(19) = 28855167, a(20) = 88730315}, [1, 2, 4, 9, 22, 56, 145, 379, 998, 2647, 7075, 19074, 51933, 143026, 399177, 1131356, 3263354, 9600103, 28855167, 88730315, 279306941, 899847952, 2964272977, 9968728145, 34155525108, 118965718318, 420299969721, 1503033889530, 5430499800583, 19791190334588, 72656528266482, 268385443074317, 996608069320269, 3717449343883960, 13920544693059050, 52304928769949744, 197118959024465321, 744850473570204599, 2821272742375346886, 10709183506534993042, 40730397963582078609, 155188721528097905485, 592269180918416620004, 2263820663774623662991, 8665266308277064759357, 33212183582434474551523, 127453500379005842447310, 489679573518889033530370, 1883425429374660298708472, 7251606591857475652090396], 539354944345429671655937954411814672385729697790706\ 6594760540411171308502692887442159912807396225818993828196464205965458723535767\ 0766395512101011677653007883071372727150731074218154512205382899024262886983604\ 6264519550638175447213069745721544357528816702169985936170116814696090083937577\ 6730023925607872362201043779602640343638329148922169588383511363094333734726077\ 5754143068202384080965032650209078101340469594189342178414503405865431406848330\ 2131325398094821021790014795706206093484660942906713371435401815626940193803354\ 2816283193282409286302839233685720014972067115772822523524791250461514] ---------------------------- (A,B)= , {3}, {3, 4, 5} [P^2*x^9+2*P*x^8-3*P^2*x^6+2*P*x^7-5*P^2*x^5+2*P*x^6+x^7+6*P^2*x^4-P*x^5+2*x^6+ 3*P^2*x^3-12*P*x^4+3*x^5+2*P^2*x^2-2*P*x^3+4*x^4-4*P^2*x-x^3+P^2+6*P*x-x^2-2*P-\ 2*x+1, (-C*x^4-x^3-x^2-x+1)/((x^5-x^4)*C+x^4-x^2-2*x+1), {5*n*(n-5)*a(n)+(-74*n ^2+502*n-408)*a(n-1)+(416*n^2-3544*n+5184)*a(n-2)+(-1067*n^2+10945*n-22272)*a(n -3)+(1092*n^2-13212*n+34128)*a(n-4)+(-179*n^2+1879*n-5568)*a(n-5)+(953*n^2-9643 *n+25704)*a(n-6)+(-2724*n^2+38064*n-133008)*a(n-7)+(653*n^2-11383*n+46848)*a(n-\ 8)+(1033*n^2-16139*n+64368)*a(n-9)+36*(n-10)*(27*n-337)*a(n-10)+(-635*n^2+17851 *n-118464)*a(n-11)+(-578*n^2+9664*n-37560)*a(n-12)+(135*n^2-4539*n+37440)*a(n-\ 13)+(219*n^2-7647*n+65256)*a(n-14)+(-62*n^2+3742*n-40032)*a(n-15)-60*(2*n-31)*( n-18)*a(n-16)-3*(n-13)*(n-16)*a(n-17)+2*(n-12)*(n-11)*a(n-18)+20*(2*n-31)*(n-18 )*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a( 7) = 120, a(8) = 290, a(9) = 705, a(10) = 1725, a(11) = 4253, a(12) = 10585, a( 13) = 26659, a(14) = 68161, a(15) = 177605, a(16) = 473727, a(17) = 1299441, a( 18) = 3680886, a(19) = 10799808}, [1, 2, 4, 9, 21, 50, 120, 290, 705, 1725, 4253, 10585, 26659, 68161, 177605, 473727, 1299441, 3680886, 10799808, 32859470 , 103584670, 337384397, 1130870372, 3883304657, 13601302910, 48401007567, 174426550374, 634938718573, 2329926821964, 8605601145361, 31955593443173, 119195316680991, 446301356325085, 1676603205449662, 6316702200282965, 23859933267365213, 90334555378838236, 342729456828970283, 1302818148461732545, 4961175821622335030, 18923287359334229996, 72288571268933645817, 276541052673126381741, 1059319976344503527171, 4062908207419160335737, 15601174963337304694135, 59973465774042369315917, 230789566760098780778012, 889005102426789134490135, 3427687526356574711410197], 2668726220797119175346136\ 9679313773581053043089686171046818356060345938144890680493274682959272470676723\ 5241845032748506847092171644232631540714914118156699475120043714954799095365895\ 2574621748574991825032121911000639653395755263845732979827778604171437682242591\ 8827737556852035148626070426870867157530761387807796867448913344475506909796414\ 3642433449499725797495410845159998041506375672087454264094272137569961461057532\ 7882766165980781470219345318854365782284419182414627284564157852375436244583723\ 8419473349706691972893516944236222455364114276578429315347567130084836978973683\ 36866231836648052] ---------------------------- (A,B)= , {3}, {1, 2, 3, 4} [P^2*x^9+2*P^2*x^8+3*P^2*x^6+3*P^2*x^5-2*P^2*x^4+2*P^2*x^3+3*P*x^4-P^2*x^2-2*P^ 2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^5+x^4+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-\ 14)*(n-5)*a(n-1)+(-166*n^2+1288*n-1800)*a(n-2)+(185*n^2-1823*n+3570)*a(n-3)+( 142*n^2-1072*n+1800)*a(n-4)+(-399*n^2+3825*n-8550)*a(n-5)+(345*n^2-2949*n+5190) *a(n-6)+(-194*n^2+1916*n-3720)*a(n-7)+(-280*n^2+2788*n-6960)*a(n-8)+(334*n^2-\ 4066*n+12660)*a(n-9)+(-68*n^2+356*n+240)*a(n-10)+(7*n^2-577*n+3630)*a(n-11)+( 154*n^2-2320*n+8880)*a(n-12)+(34*n^2-466*n+1500)*a(n-13)+3*(n-10)*(7*n-75)*a(n-\ 14)+6*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 21, a(7) = 40, a(8) = 79, a(9) = 162, a(10) = 351, a(11) = 814, a( 12) = 2044, a(13) = 5569, a(14) = 16342, a(15) = 50949}, [1, 2, 3, 6, 11, 21, 40, 79, 162, 351, 814, 2044, 5569, 16342, 50949, 166283, 561004, 1938274, 6813612, 24264126, 87280116, 316498358, 1155398430, 4241887255, 15650335371, 57991954595, 215716929631, 805197499047, 3014942155188, 11321181316093, 42622142555578, 160848762205353, 608356854550803, 2305610712272091, 8754613745660039, 33300801974585440, 126878527060344325, 484162706285685462, 1850217137156699280, 7080182032294104840, 27128267419522636782, 104069654768835208852, 399688571415683263236, 1536697502807698486685, 5914249589244499514836, 22784156887345817601494, 87855197049510875609242, 339065640758824018099152, 1309676288624411484094103, 5062805882907451156466533] , 43405756866872207303109684189933842933016052125655838453730382673956801048385\ 0247785294972449238305165284557081436951652196519932088582794764933029810620138\ 9451796234619811439764774863402700183981072275754625975206105146905113108002823\ 3449992372177135282675886644477964495483664445774429421901308632738251083981347\ 8696742104869988586607030360726853159829530078752237967510732755401530567653030\ 2581417405549656069079237212897660259967192927063566955735039297001131570443448\ 1178655929429638725167642170591792944975581735144380694631848667397659423630617\ 34433136843848781938751903342500314658419254] ---------------------------- (A,B)= , {3}, {1, 2, 3, 5} [P^2*x^8-2*P^2*x^7+3*P^2*x^6+5*P^2*x^5-11*P^2*x^4-P*x^5+2*P^2*x^3+8*P*x^4+7*P^2 *x^2-4*P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4+ x^3-x^2)*C-x^4+x^3-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(561*n^2-\ 4713*n+6912)*a(n-2)+(-1964*n^2+19756*n-40272)*a(n-3)+(3605*n^2-42889*n+111240)* a(n-4)+(-2381*n^2+36685*n-123336)*a(n-5)+(-3056*n^2+31654*n-73668)*a(n-6)+(6961 *n^2-96653*n+324876)*a(n-7)+(-3594*n^2+58206*n-226476)*a(n-8)+(-2260*n^2+34178* n-134088)*a(n-9)+(3239*n^2-55105*n+239268)*a(n-10)+(-925*n^2+15305*n-65244)*a(n -11)+(-327*n^2+7467*n-41316)*a(n-12)+(326*n^2-6724*n+34608)*a(n-13)+(-105*n^2+ 2283*n-12372)*a(n-14)+2*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 22, a(7) = 44, a(8) = 92, a(9) = 198, a(10) = 445, a(11) = 1047, a(12) = 2598, a(13) = 6819, a(14) = 18940, a(15) = 55471}, [ 1, 2, 3, 6, 11, 22, 44, 92, 198, 445, 1047, 2598, 6819, 18940, 55471, 170245, 543404, 1790475, 6050130, 20854517, 73026437, 258967448, 927841799, 3352716860, 12201925379, 44680301674, 164476866159, 608289904437, 2258929447305, 8419580577561, 31485779184411, 118097140903558, 444170142465457, 1674727262217896, 6329014231417049, 23968917019995936, 90952175751608275, 345755905759434081, 1316630313217888111, 5021658993840159921, 19181204049919446461, 73368575686877152038, 281004842631044406299, 1077591403117607012654, 4137146955802972422511, 15901083154251223622690, 61179516332069802066032, 235621851824072766470134, 908309158610133485526835, 3504615964028986139658846], 279031476917429898549607603561070600732309631865393\ 0866764747258359948191418868072699605656658287801113853326743558553241195792470\ 9256678421634140239851948197446862977165886688571965427139586818761942216989167\ 5720339652798990776982639100867319471866887011567439538529432014428068473521351\ 1791161641838393534406818816406011880598005243887011071330631518976470123899171\ 3717526540989192250113544283035080505367387135874419457205542791420269190462294\ 6368167320846802861034622979690944089074018857854551957131559395051246826859066\ 0759932898507903150170439511543283470632897174325365203597808104099780] ---------------------------- (A,B)= , {3}, {1, 2, 4, 5} [P^2*x^11-2*P^2*x^9-3*P^2*x^8+5*P^2*x^7-2*P*x^8+9*P^2*x^6-2*P*x^7-11*P^2*x^5-7* P^2*x^4+9*P*x^5+11*P^2*x^3+x^5+P^2*x^2-14*P*x^3+2*x^4-4*P^2*x+2*P*x^2+3*x^3+P^2 +6*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/((x^6-x^5-x^4+x^3)*C+x^5-2*x^3+x^2+2*x-\ 1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-408*n^2+3486*n-5100)*a(n-2)+( 923*n^2-9697*n+19872)*a(n-3)+(-80*n^2+2962*n-9924)*a(n-4)+(-3212*n^2+37648*n-\ 104628)*a(n-5)+(3899*n^2-55501*n+185616)*a(n-6)+(3082*n^2-37538*n+115308)*a(n-7 )+(-7860*n^2+120042*n-455640)*a(n-8)+(440*n^2-13006*n+72216)*a(n-9)+(6553*n^2-\ 111431*n+478464)*a(n-10)+(-2215*n^2+47735*n-259356)*a(n-11)+(-2604*n^2+46734*n-\ 207420)*a(n-12)+(1133*n^2-33001*n+234336)*a(n-13)+(552*n^2-5160*n-15372)*a(n-14 )+(-391*n^2+15323*n-134472)*a(n-15)+(47*n^2-6163*n+73176)*a(n-16)+(207*n^2-6969 *n+58092)*a(n-17)+(-86*n^2+3178*n-28272)*a(n-18)+(-91*n^2+2987*n-24456)*a(n-19) +2*(n-12)*(n-11)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 2, a( 3) = 3, a(4) = 6, a(5) = 12, a(6) = 26, a(7) = 57, a(8) = 128, a(9) = 292, a(10 ) = 680, a(11) = 1621, a(12) = 3976, a(13) = 10087, a(14) = 26605, a(15) = 73235, a(16) = 210743, a(17) = 633330, a(18) = 1980874, a(19) = 6415625, a(20) = 21395220, a(21) = 73067362}, [1, 2, 3, 6, 12, 26, 57, 128, 292, 680, 1621, 3976, 10087, 26605, 73235, 210743, 633330, 1980874, 6415625, 21395220, 73067362 , 254328277, 898757359, 3214711388, 11611209166, 42274454610, 154938379108, 571049727578, 2114840987610, 7865017197737, 29357823949875, 109944893517639, 412960736815181, 1555263320873750, 5871618223270166, 22216830342418426, 84236460488845309, 319996064018903620, 1217744877682504704, 4641756298251973771 , 17720479489579754511, 67747492694343754833, 259356550319937108900, 994151618617428071991, 3815291455509393107942, 14658634973845242698002, 56379795411628373335120, 217066700648303314635553, 836527388206380099290455, 3226737191442849662077761], 254614577078562512705463583137402701921714370703134\ 3136616895270504895356629215153857404983294842800419062335618284656539662790240\ 0600472671000139704638346106911484593058562533646988212276178692681408509995625\ 7731420785111640605726998566527740954185531756419066908833071866623100271911661\ 3211089236812697231755608622701368829946540214926881615035397570947371375161456\ 9943626482230248348091589629452642493653725198371672892773977546505374879206658\ 8103736611915449890876365946601758896889148395915548528976276306950045855297766\ 8685464073216007547785753445732609128760743525057219512201483694982850] ---------------------------- (A,B)= , {3}, {1, 3, 4, 5} [P^2*x^9+2*P*x^8-6*P^2*x^6+2*P*x^7-P^2*x^5+2*P*x^6+x^7+8*P^2*x^4-7*P*x^5+2*x^6+ 3*P^2*x^3-10*P*x^4+3*x^5-3*P^2*x^2+2*P*x^3+x^4-2*P^2*x+6*P*x^2-3*x^3+P^2+2*P*x-\ 2*x^2-2*P+1, (-C*x^4-x^3-x^2+1)/((x^5-x^4)*C+x^4-2*x^2-x+1), {5*n*(n-5)*a(n)-4* (14*n-13)*(n-6)*a(n-1)+(190*n^2-1688*n+2436)*a(n-2)+(-69*n^2+975*n-1992)*a(n-3) +(-590*n^2+6520*n-15804)*a(n-4)+(154*n^2-2942*n+8892)*a(n-5)+(1661*n^2-21751*n+ 70104)*a(n-6)+(-174*n^2+4020*n-16788)*a(n-7)+(-2505*n^2+38151*n-146856)*a(n-8)+ (-316*n^2+6308*n-30720)*a(n-9)+(1943*n^2-37531*n+183336)*a(n-10)+(636*n^2-10530 *n+40860)*a(n-11)+(-842*n^2+19708*n-118632)*a(n-12)+(-150*n^2+1278*n+6576)*a(n-\ 13)+(246*n^2-9486*n+84720)*a(n-14)+(62*n^2-826*n+264)*a(n-15)+(-216*n^2+7452*n-\ 63360)*a(n-16)-3*(n-13)*(n-16)*a(n-17)+2*(n-12)*(n-11)*a(n-18)+20*(2*n-31)*(n-\ 18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 22, a(7) = 43, a(8) = 87, a(9) = 177, a(10) = 370, a(11) = 794, a(12) = 1775, a(13) = 4174, a(14) = 10449, a(15) = 28015, a(16) = 80422, a(17) = 245388, a(18) = 787064, a(19) = 2622929}, [1, 2, 3, 6, 11, 22, 43, 87, 177, 370, 794, 1775, 4174, 10449, 28015, 80422, 245388, 787064, 2622929, 8991865, 31469803, 111831318, 402006751, 1458119125, 5326918332, 19576819267, 72310112239, 268257909653, 999021132982, 3733219414673, 13993620500814, 52600494662719, 198224234899971, 748754530391201, 2834381303532312, 10750856665205479, 40853729769619382, 155513742439920158, 592931550897442993, 2264093243499253950, 8657600113113159243, 33149534395898795870, 127086828684608751288, 487793756680820513886, 1874374898745060126901, 7210002654432396347017, 27761912318550677487965, 106998178866130347567945, 412758617375285382971890, 1593638612589564168546598], 130166430076293682787760735266460777139208246119394\ 4643475429629148798116436006887982625177358520222274239087120937098066704346206\ 4582898595819696045917077676096701861171850823815188430162110302099521963488385\ 1634690611595094708770812955219685532254234752954649414059472001091315091834390\ 4195661083261958883846544135899286189785868808850967389655685009356895080083207\ 5296804034195589864325000497901297750708300256145647411687394625584438442196631\ 4387776187181086873478034955444261154748533583558493291980314151775551926817741\ 6019748419906263588280380150978115751635572519960458576397050037867283] ---------------------------- (A,B)= , {3}, {2, 3, 4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9+3*P^2*x^7-4*P*x^8+x^9+P^2*x^6-6*P*x^7+2*x^8+6*P^2*x^ 5-2*P*x^6+3*x^7+P^2*x^4-9*P*x^5+x^6-2*P^2*x^3+3*x^5+4*P^2*x^2+4*P*x^3-x^4-4*P^2 *x-4*P*x^2-2*x^3+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^5+x^4+x^3+x-1)/(C*x^5+x^4+x^3+2* x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-432*n^2+3660*n-5352)*a(n-2)+ (1282*n^2-12914*n+26208)*a(n-3)+(-2133*n^2+24753*n-63216)*a(n-4)+(2176*n^2-\ 28724*n+88296)*a(n-5)+(-1323*n^2+21447*n-81168)*a(n-6)+(-325*n^2-835*n+21528)*a (n-7)+(1436*n^2-18244*n+54576)*a(n-8)+(-1041*n^2+13953*n-41112)*a(n-9)+(702*n^2 -10074*n+28776)*a(n-10)+(48*n^2-768*n+2088)*a(n-11)+(-106*n^2+6038*n-57288)*a(n -12)+(-6*n^2-1542*n+23928)*a(n-13)+(94*n^2-1802*n+7176)*a(n-14)+(242*n^2-9034*n +81624)*a(n-15)+(390*n^2-14322*n+129480)*a(n-16)+2*(121*n-2004)*(n-17)*a(n-17)+ 12*(25*n-416)*(n-18)*a(n-18)+18*(9*n-148)*(n-19)*a(n-19)+28*(n-20)*(2*n-33)*a(n -20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 49, a(7) = 114, a(8) = 266, a(9) = 624, a(10) = 1473, a(11) = 3504, a(12) = 8420, a(13) = 20507, a(14) = 50842, a(15) = 129001, a(16) = 337011, a(17) = 912046, a(18) = 2569768, a(19) = 7559509, a(20) = 23213772}, [1, 2, 4, 9, 21, 49, 114, 266, 624 , 1473, 3504, 8420, 20507, 50842, 129001, 337011, 912046, 2569768, 7559509, 23213772, 74186360, 245478791, 836032018, 2913544573, 10337372084, 37188953668, 135229261276, 495866776635, 1830424888017, 6793395144663, 25326202449392, 94777325531727, 355848823575822, 1339924134512876, 5058385865451526, 19140384900147209, 72578104565833159, 275740525046669996, 1049471024863141644, 4000909198995674121, 15276214194322381224, 58411400024862792881, 223647995914499884900, 857398125391615392522, 3290926031105832025531, 12645692590343317058227, 48644011058941310050791, 187306978415598780852197, 721927983495369615902003, 2785020472125605181163225], 2209332601842417204370851\ 3108481111158923229666707662695849866821004577880076027181227395323404034138148\ 9085317653212582291667334985642406978651835982114395004009094234383741813375631\ 2228949391257206705027070073570877821893143650122494104078912339241120257035720\ 3617216325251326709910383972644711963137569628139445096145975134693444946177352\ 9537846536514034629474258987000016638335822336810106118830592727611890871675744\ 1509219034942805344590597064809734528589371523703096209666686499034330541100726\ 9948099235858907546836455266618238020903825410567606319354417749318889197355794\ 14929285222066031] ---------------------------- (A,B)= , {3}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+P^2*x^8+3*P^2*x^7+5*P^2*x^6-P^2*x^5-P^2*x^4+3*P* x^5+2*P^2*x^3+2*P*x^4-P^2*x^2-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^6+x^5+x^ 4+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-206*n^2+1804*n-2604)*a( n-2)+(228*n^2-2472*n+5016)*a(n-3)+(181*n^2-1631*n+3132)*a(n-4)+(-449*n^2+5137*n -13104)*a(n-5)+(124*n^2-1748*n+5376)*a(n-6)+(382*n^2-3578*n+6708)*a(n-7)+(-630* n^2+7638*n-21432)*a(n-8)+(-113*n^2+517*n+1812)*a(n-9)+(445*n^2-6233*n+21552)*a( n-10)-2*(4*n-15)*(17*n-100)*a(n-11)+(66*n^2-1938*n+10932)*a(n-12)+(257*n^2-5227 *n+25704)*a(n-13)+(187*n^2-3071*n+12852)*a(n-14)+(112*n^2-2132*n+10284)*a(n-15) +2*(34*n-383)*(n-12)*a(n-16)+(45*n^2-1035*n+5964)*a(n-17)+6*(n-12)*(2*n-25)*a(n -18) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 21, a(7) = 39, a(8) = 74, a(9) = 142, a(10) = 280, a(11) = 571, a(12) = 1225, a(13) = 2811 , a(14) = 7001, a(15) = 19014, a(16) = 55929, a(17) = 175534, a(18) = 578062}, [1, 2, 3, 6, 11, 21, 39, 74, 142, 280, 571, 1225, 2811, 7001, 19014, 55929, 175534, 578062, 1969216, 6867731, 24350881, 87387185, 316489536, 1154593446, 4237415244, 15630821509, 57913547114, 215412636266, 804034719165, 3010528784101 , 11304472707768, 42558914476257, 160609360601579, 607449432951164, 2302166768754432, 8741524738119329, 33250986012960664, 126688667534866903, 483438135132833185, 1847448326759768985, 7069588371520162965, 27087687015129433480, 103914029078566485761, 399091097849137279603, 1534401315153371365034, 5905416204780872656949, 22750142802276054576656, 87724102626614938185492, 338559948559304225206641, 1307723978890202488406657], 1085223573375246054893024143541381605167354024883287953759905381085432501778278\ 5209457399200503856765497392811081182694960607018264789286142678569557979683438\ 4780176241018740406510200188314233692023632739049922342797466311788498831784729\ 1065081615319653363351322392302027615276931447698601485224007980004275998280997\ 6465893292120779739698477727087196364742364423207561389973513466940300911791443\ 6013477029505308421687460361927707558810291359303270485518529669087416265964127\ 4042308733050110603702016393587478429089820815863033576743677824666777072508814\ 208945970764687038547357623970394095727585] ---------------------------- (A,B)= , {4}, {} [P^2*x^3+6*P^2*x^2-2*P*x^3-5*P^2*x-7*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, ((x^2 -x)*C-x^2-x+1)/((2*x^2-x)*C-x^2-2*x+1), {-n*(n-2)*a(n)+(16*n^2-59*n+42)*a(n-1)+ (-101*n^2+535*n-654)*a(n-2)+(317*n^2-2182*n+3648)*a(n-3)+(-506*n^2+4333*n-9174) *a(n-4)+(361*n^2-3854*n+10212)*a(n-5)+(-70*n^2+1094*n-4056)*a(n-6)+(7*n^2-158*n +768)*a(n-7)+2*(n-8)*(2*n-15)*a(n-8) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6) = 97, a(7) = 276, a(8) = 805}, [1, 2, 5, 13, 35, 97, 276, 805, 2404, 7343, 22916, 72980, 236857, 782275, 2625265, 8938718, 30834165, 107608097, 379454447, 1350434278, 4845475311, 17512579630, 63703732426, 233063976059, 857067469749, 3166309373615, 11745982220846, 43736933794243, 163409819344676, 612415062653080, 2301627415153461, 8672479097155517, 32755202434296043, 123984146212620561, 470251102237219228, 1786931561888319841, 6802111091955394040, 25935000481117133188, 99035202677825435351, 378714703735090725951, 1450161164914390585861, 5559907771213558938638, 21341984205122852560893, 82014231825056416720796, 315503776035235853259224, 1214944984225803265071151, 4682988152685541482167655, 18066884936114900040405865, 69761879491768621433998564, 269593873446659212331819465], 2294852754289166873194745240744716696400162003604\ 4514719193490388717987087599855159804973998206547150060969824143252932008929597\ 5215660114920499080568767993091484529272766337258615159485764132310422370508440\ 7972460582264151906793186700469235346124125424546017351927882501324272614315282\ 3680244032156490106183289676739410222523364748305187253977578321308599177518955\ 2044122525351315695390258161130081495412081215609868582837353639148781278020621\ 8650802124500033660279244428482155973116014069893687991871039145110748048004169\ 32830821600360798114384866662766605279179837318943725965910838216803951755] ---------------------------- (A,B)= , {4}, {1} [P^2*x^5+2*P^2*x^4+3*P^2*x^3-2*P^2*x^2-2*P^2*x+3*P*x^2+P^2+2*P*x-2*P+1, (-C*x+1 )/((x^3+x^2-x)*C-x^3-x^2-x+1), {-2*n*(n-2)*a(n)+(23*n-22)*(n-3)*a(n-1)-12*(7*n-\ 13)*(n-4)*a(n-2)+(77*n^2-685*n+1290)*a(n-3)+(123*n^2-669*n+774)*a(n-4)+(-180*n^ 2+1530*n-3156)*a(n-5)+(-42*n^2+300*n-540)*a(n-6)+(28*n^2-506*n+1788)*a(n-7)+(45 *n^2-495*n+1374)*a(n-8)+6*(n-6)*(2*n-13)*a(n-9) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 90, a(8) = 227, a(9) = 610}, [1, 2, 4 , 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412, 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621, 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881, 21251652820815936901293000, 82264384899019041597380619], 7472004740884143994679\ 7500115054143850894490808095492271517477755837141819565368378034042832799884183\ 5392913837686600373300932714162324198384339468904976189263445246123260400561472\ 0971176536316575409273226450456885738387261012234298147398550894624041521122725\ 8418065952000831868639452064522393808424009512510684880499929093707510695924259\ 0524343250041487619140308542239299828657104647707710891827879577545503633219684\ 0751414469909154932710321709382180009144619429722667562379640581778042866289048\ 4858649562563977617574024186871725418568036789598683993711545110993394332384635\ 337309261531230970400] ---------------------------- (A,B)= , {4}, {2} [9*P^2*x^3+4*P^2*x^2-12*P*x^3-8*P^2*x-P*x^2+4*x^3+2*P^2+12*P*x-x^2-4*P-4*x+2, ( (x^2-x)*C-2*x^2+1)/((2*x^2-x)*C-3*x^2-x+1), {-8*n*(n-2)*a(n)+(116*n^2-436*n+312 )*a(n-1)+(-632*n^2+3448*n-4272)*a(n-2)+(1554*n^2-11274*n+19476)*a(n-3)+(-1470*n ^2+14778*n-35004)*a(n-4)+(-240*n^2-2736*n+19008)*a(n-5)+(815*n^2-4981*n+690)*a( n-6)+(-168*n^2+1686*n-3492)*a(n-7)+216*(n-8)*(2*n-15)*a(n-8) = 0, a(1) = 1, a(2 ) = 2, a(3) = 5, a(4) = 12, a(5) = 30, a(6) = 76, a(7) = 197, a(8) = 522}, [1, 2, 5, 12, 30, 76, 197, 522, 1418, 3956, 11354, 33554, 102104, 319608, 1027237, 3381714, 11371366, 38946892, 135505958, 477781296, 1703671604, 6132978608, 22256615602, 81327116484, 298938112816, 1104473254912, 4098996843500, 15272792557230, 57106723430892, 214202598271360, 805743355591301, 3038709078709154, 11486931162479046, 43516779411950476, 165186096907176718, 628187703779771768, 2393025135025821876, 9130530443915099368, 34889126031530007510, 133502232292984504044, 511510221504763404700, 1962248040156187477112, 7536275193435038885260, 28975767992475294332676, 111522620358280477892800, 429652446680256323752528, 1656823649834823861271490, 6394696841405144683690164, 24701868411656364250354460, 95496760418153983701530552], 82557032830347924665028954987383274486704385191611\ 0447919038734296673246029345850753529299469367112967284138024471505665016444206\ 5049874865315557073151770353860771141070891673617566762136968438459486023158041\ 1666890943189906182719638244570912942166212375225672690990180038347070519524623\ 7161165945823387584074678431488581747064156745488380067594255292020164284659653\ 1991752684838756363638400346812044850789999113939217431337154511866697202734382\ 2531587779183079508698066251693116362024607777595872150659418223185929479129838\ 524666563740016259543367992534520258272523945717669017371960609472567744] ---------------------------- (A,B)= , {4}, {3} [P^2*x^6-4*P^2*x^5+11*P^2*x^4+2*P*x^5-18*P^2*x^3-8*P*x^4+17*P^2*x^2+19*P*x^3+x^ 4-7*P^2*x-24*P*x^2-4*x^3+P^2+12*P*x+8*x^2-2*P-5*x+1, (-C*x^2+x^2-2*x+1)/((x^3-x ^2)*C-x^3+2*x^2-3*x+1), {3*n*(n-3)*a(n)+(-59*n^2+273*n-208)*a(n-1)+(493*n^2-\ 3051*n+4040)*a(n-2)+(-2292*n^2+17616*n-31704)*a(n-3)+(6532*n^2-59484*n+132032)* a(n-4)+(-11889*n^2+123747*n-320040)*a(n-5)+(14026*n^2-161226*n+463808)*a(n-6)+( -10660*n^2+129612*n-391424)*a(n-7)+(4899*n^2-57621*n+156960)*a(n-8)+(-886*n^2+ 3762*n+30112)*a(n-9)+(-435*n^2+12333*n-76440)*a(n-10)+(398*n^2-8754*n+47776)*a( n-11)-2*(71*n-752)*(n-11)*a(n-12)+12*(2*n-21)*(n-12)*a(n-13) = 0, a(1) = 1, a(2 ) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6) = 97, a(7) = 275, a(8) = 795, a(9) = 2340, a(10) = 7007, a(11) = 21336, a(12) = 66041, a(13) = 207728}, [1, 2, 5, 13, 35, 97, 275, 795, 2340, 7007, 21336, 66041, 207728, 663731, 2153257, 7088374, 23661127, 80022427, 273964776, 948607312, 3318826310, 11721773971, 41757381378, 149915662384, 542005726822, 1971976439917, 7215516334423, 26537257557809, 98050389812546, 363792363702652, 1354869326416041, 5063250326105267, 18980857722922083, 71357331195209287, 268963435460332924, 1016218853148221856, 3848030358163765674, 14600707421480592470, 55504511390149678403, 211369987424701594448, 806244334288970167195, 3080003742555785301073, 11782962834388720907423, 45137548753218051934264, 173127746806690126527235, 664827225954642963863540, 2555849422189437123614681, 9836021487520148977252572, 37891080173986325257145915, 146105088193977255653513995], 1147342094904386564018223076352433909237145685211\ 4328660017579986857050307931577342664496263184675439350042658889701122130767008\ 0441294959156303531097280698949390178400606688881619669102751112437005757775186\ 3398512554104621791523728961740646784913445929333744749335483692698601303466553\ 5370120945209754818254943205304878289056929900289994457383027762364304079614420\ 1397716072480838096323619343478902419073964974773303168048499884373613069854514\ 8772144875879563123437298714744299474910530721887549167245478875989037482981208\ 94258403582662247271975497401444683846802367963839592141801082379757088862] ---------------------------- (A,B)= , {4}, {4} [4*P^2*x^5-P^2*x^4-4*P*x^5-12*P^2*x^3+5*P*x^4+x^5+16*P^2*x^2+10*P*x^3-2*x^4-7*P ^2*x-22*P*x^2-x^3+P^2+12*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x+1)/((2*x^3-x^2)* C+x^2-3*x+1), {-4*n*(n-4)*a(n)+(80*n^2-452*n+360)*a(n-1)+(-678*n^2+4920*n-6936) *a(n-2)+(3169*n^2-27991*n+54222)*a(n-3)+(-8883*n^2+92355*n-223206)*a(n-4)+( 15103*n^2-181033*n+519942)*a(n-5)+(-14661*n^2+201351*n-671994)*a(n-6)+(6173*n^2 -102251*n+407694)*a(n-7)+(1258*n^2-8014*n-13596)*a(n-8)+(-1917*n^2+26523*n-\ 84402)*a(n-9)+(268*n^2-3502*n+8124)*a(n-10)+(16*n^2-256*n+912)*a(n-11)+32*(n-12 )*(2*n-23)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6 ) = 96, a(7) = 267, a(8) = 751, a(9) = 2134, a(10) = 6124, a(11) = 17751, a(12) = 51993}, [1, 2, 5, 13, 35, 96, 267, 751, 2134, 6124, 17751, 51993, 153983, 461455, 1400424, 4307259, 13435512, 42525951, 136629617, 445618655, 1475132271, 4954011514, 16867552635, 58176634850, 203060518029, 716527849673, 2553380347666 , 9179709093202, 33262470411787, 121368743742278, 445592810746904, 1644899158911866, 6101525651129273, 22729967823024401, 84999258587914927, 318940796715716508, 1200413047372199543, 4530489682839662216, 17141132011956589007, 65000274983999280171, 246994137137135270680, 940327786177410086516, 3586144644923302278327, 13698558699936326536726, 52404650094388000600858, 200755617030081174096130, 770066885511714233391397, 2957441586558685324496113, 11370998876971983013905993, 43766984250735263951047325], 32453504591510366120546120178072854340915666297102\ 4487765346804683958609877269258498770397872293549572038966291170025348077116054\ 1760434816610638976028794019637050599636531814612723582426856493778615204695394\ 3508553842637342435558763475116237351628617183413827667187720368965125621440840\ 8014191565768317357589521411215715854688080639720253552055848838781581290484327\ 9489003834319362255390916882131966003459823869498289335060511022120474755070369\ 1117682416033719820241547996826631080196799287975304809760027772712091162716161\ 652666296138962858781458092075537039950952808684913127108452901438061295] ---------------------------- (A,B)= , {4}, {5} [P^2*x^7+6*P^2*x^6-2*P*x^7+13*P^2*x^5-10*P*x^6+x^7-2*P^2*x^4-15*P*x^5+4*x^6-31* P^2*x^3+18*P*x^4+3*x^5+28*P^2*x^2+32*P*x^3-10*x^4-9*P^2*x-42*P*x^2-6*x^3+P^2+16 *P*x+15*x^2-2*P-7*x+1, ((x^4+x^3-x^2)*C+x^3+x^2-3*x+1)/((x^4+2*x^3-x^2)*C+x^3+3 *x^2-4*x+1), {-5*n*(n-5)*a(n)+(119*n^2-787*n+648)*a(n-1)+(-1229*n^2+10087*n-\ 14868)*a(n-2)+(7188*n^2-70386*n+143268)*a(n-3)+(-25969*n^2+295589*n-752496)*a(n -4)+(58857*n^2-765447*n+2317356)*a(n-5)+(-79450*n^2+1170074*n-4097448)*a(n-6)+( 50925*n^2-857919*n+3448764)*a(n-7)+(5824*n^2-64244*n+175152)*a(n-8)+(-23504*n^2 +455710*n-2207652)*a(n-9)+(2342*n^2-79642*n+564960)*a(n-10)+(4955*n^2-107083*n+ 577848)*a(n-11)+(26*n^2+11570*n-145464)*a(n-12)+(-2*n^2+190*n-1320)*a(n-13)+( 380*n^2-11584*n+87840)*a(n-14)+(170*n^2-5098*n+38208)*a(n-15)+12*(n-16)*(2*n-29 )*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6) = 97, a (7) = 275, a(8) = 794, a(9) = 2327, a(10) = 6906, a(11) = 20720, a(12) = 62777, a(13) = 191933, a(14) = 591913, a(15) = 1840948, a(16) = 5774118}, [1, 2, 5, 13 , 35, 97, 275, 794, 2327, 6906, 20720, 62777, 191933, 591913, 1840948, 5774118, 18265146, 58279725, 187606647, 609393990, 1997755271, 6610556342, 22080929845, 74452801203, 253393154024, 870339221721, 3016176488758, 10542952950116, 37157014109818, 131979589388003, 472236528641967, 1701335228452157, 6168583317752293, 22497587903920496, 82496845894519366, 304014782127434700, 1125445625065519077, 4183656358406354911, 15611036314088485222, 58453123667484094014, 219559949237586913775, 827083938623632921212, 3123852358413265169445, 11827148624886179991093, 44877878474021734872464, 170635853681309929377230, 650017412517916562610451, 2480473625200569794275597, 9480772646364577463665412, 36291304762406260027580438], 23133561043419660944535\ 6061286919621026527399277357490424731290040393828814199232109970765304411609927\ 2522129124004944055416190851785768355593308300313871851408526327818141883578128\ 6630253755302817477381472558011955037747247183948568777493258112311434028153863\ 3735256198835497810412469743969067263087499926743639131790809897070425262390754\ 2631757310342171817364553397204387617170422009006126050816253449160512349112927\ 2109756825955900049487363972878411807910240620863241830249034726745394869867266\ 1625732263629434546072101756515320124872263764366521243244922919264748651283526\ 87466971741769063956] ---------------------------- (A,B)= , {4}, {1, 2} [4*P^2*x^5+7*P^2*x^4+2*P^2*x^3-5*P^2*x^2+4*P*x^3-3*P^2*x+7*P*x^2+2*P^2+2*P*x-4* P+x+2, (-C*x+x+1)/((x^3+x^2-x)*C-2*x^3-2*x^2+1), {8*n*(n-2)*a(n)+(-86*n^2+346*n -252)*a(n-1)+(271*n^2-1631*n+2082)*a(n-2)+(-107*n^2+1219*n-2442)*a(n-3)+(-531*n ^2+3861*n-6930)*a(n-4)+(164*n^2-2752*n+8820)*a(n-5)+(604*n^2-5042*n+10044)*a(n-\ 6)+(95*n^2+779*n-6390)*a(n-7)-2*(154*n-857)*(n-6)*a(n-8)-48*(n+1)*(n-7)*a(n-9)+ 32*(n-8)*(2*n-15)*a(n-10) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 14, a(6) = 28, a(7) = 59, a(8) = 133, a(9) = 322, a(10) = 845}, [1, 2, 4, 7, 14 , 28, 59, 133, 322, 845, 2392, 7226, 22979, 75933, 258065, 895326, 3154560, 11247789, 40486499, 146867285, 536257124, 1969022613, 7265171330, 26922181418, 100147825155, 373827733379, 1399774910319, 5256299096874, 19789372972927, 74683115032122, 282468914105932, 1070546297432263, 4065026463828262, 15462784896272292, 58915222215635923, 224820984437203123, 859160083155224139, 3287770310999249178, 12597505035332687423, 48327221519691318346, 185607053690455106866, 713618298909758348535, 2746514573963667121695, 10580829564958805524967, 40799848308433864212050, 157463193250061754405543, 608223603271024481534490, 2351226534136598127149628, 9096138843689547199386175, 35215717003208231209790087], 32170567771426626356581465772517158045349297412161\ 9331536974269953933172915368262878560665518880756864869005684170485087250046669\ 3432632223795874654431670562367884061872397706889439757674962630673769686708239\ 2432291431525801747747173396251792626597047316343852108968247077543021311457005\ 3868459836328208620462247661962086323383179772254440753189861410272148325735417\ 4385615912812718128140804459296857813541996212772012891146743829935515515378765\ 9300760466051457330759982244129010792553106507797027456448145383274161326604050\ 407846828319860137504347614781257778428062750829376893743956039498363153] ---------------------------- (A,B)= , {4}, {1, 3} [P^2*x^6-2*P^2*x^5+5*P^2*x^4+2*P*x^5-8*P^2*x^3-4*P*x^4+9*P^2*x^2+9*P*x^3+x^4-5* P^2*x-12*P*x^2-2*x^3+P^2+8*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/((x^3-x^2)*C-x ^3+x^2-2*x+1), {3*n*(n-3)*a(n)+(-49*n^2+231*n-176)*a(n-1)+(331*n^2-2085*n+2768) *a(n-2)+(-1220*n^2+9480*n-17104)*a(n-3)+(2744*n^2-25068*n+55672)*a(n-4)+(-4005* n^2+41415*n-106488)*a(n-5)+(3940*n^2-44280*n+124472)*a(n-6)+(-2634*n^2+30222*n-\ 84480)*a(n-7)+(1115*n^2-10833*n+18328)*a(n-8)+(-176*n^2-1380*n+23696)*a(n-9)+(-\ 147*n^2+4533*n-29112)*a(n-10)+(158*n^2-3534*n+19552)*a(n-11)-6*(13*n-136)*(n-11 )*a(n-12)+12*(2*n-21)*(n-12)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 89, a(8) = 219, a(9) = 567, a(10) = 1544, a(11) = 4412, a(12) = 13175, a(13) = 40895}, [1, 2, 4, 8, 17, 38, 89, 219, 567, 1544, 4412, 13175, 40895, 131187, 432527, 1458529, 5009761, 17469380, 61680972, 220057420, 791993908, 2871753329, 10480068162, 38460237997, 141839334507, 525382803249, 1953652695248, 7290224263389, 27290499622454, 102455358790677, 385658305170166, 1455196046735031, 5503114871839705, 20854076863065012, 79177883573982942, 301154590971969940, 1147349907439867799, 4378005978574823154 , 16729718569582741970, 64016865421544748520, 245278093895870010409, 940913807360149602413, 3613586556042047775593, 13893057411465211566526, 53469150646260879508642, 205983329173927766868693, 794260845290712153275047, 3065328560898692481830317, 11840106459381307215693675, 45770119320688592071349511], 39285729341801563040249980793169137164095816284268\ 1426190486480151085763021990170984373686970636253578799625259887930972053584089\ 5980879375566756935332011422560380572515654399559740515326025766044949482543912\ 9318041035687151990640893272830224352622647183084447032408652432889374590567928\ 7049650737755556700217706528994049823230173982983043122630084918361382470994432\ 1017022132132704594396709343489856836320204957673744453079716653720792927338150\ 1211920298942447810328107439897968237253539453864159792730641167736460840046214\ 924837962057926012767101065912254213220545359776635267427601731398801619] ---------------------------- (A,B)= , {4}, {1, 4} [P^2*x^7+2*P^2*x^6-P^2*x^5-4*P^2*x^4+2*P*x^5+3*P*x^4+7*P^2*x^2-2*P*x^3-5*P^2*x-\ 8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4+x^3-x^2)*C-2*x+1), {4 *n*(n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(442*n^2-3262*n+4596)*a(n-2)+(-1537*n^ 2+13837*n-26898)*a(n-3)+(2897*n^2-30977*n+75834)*a(n-4)+(-2607*n^2+33315*n-\ 99702)*a(n-5)+(210*n^2-6000*n+28080)*a(n-6)+(1202*n^2-17084*n+59568)*a(n-7)+(-\ 149*n^2+5735*n-34038)*a(n-8)+(-612*n^2+8076*n-24120)*a(n-9)+(49*n^2-1873*n+ 11322)*a(n-10)+(192*n^2-2778*n+9444)*a(n-11)-4*(n-10)*(4*n-69)*a(n-12)+(-2*n^2-\ 4*n+288)*a(n-13)+4*(n-12)*(2*n-23)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a (4) = 8, a(5) = 17, a(6) = 37, a(7) = 83, a(8) = 192, a(9) = 459, a(10) = 1138, a(11) = 2936, a(12) = 7903, a(13) = 22218, a(14) = 65175}, [1, 2, 4, 8, 17, 37, 83, 192, 459, 1138, 2936, 7903, 22218, 65175, 198917, 628959, 2050153, 6855128, 23407513, 81308699, 286415136, 1020573407, 3671355698, 13312909731, 48602478278 , 178470974146, 658671943652, 2441717945560, 9087149807600, 33937859020234, 127149240402589, 477734739086633, 1799671466679912, 6795752854498261, 25717969310894055, 97525337941110410, 370523153672322732, 1410174597352181001, 5375745505630004669, 20524218985491716861, 78472061035063120081, 300432029499383256603, 1151664168013067587651, 4420003754398851129803, 16982747435696406651124, 65321405484883956189121, 251501845646945413997161, 969265212111199370796234, 3738860493752034608391477, 14434840535757446981197818 ], 1178801996032309399573084554121706211782273360484517940588928071905489844676\ 3954036539328536354196274375170948255397324732937116715552815893004601441299597\ 4593993136387044780795241912148167810156328389991810634069786933216489267224874\ 2218095595501694211471799988010468684355599375850564204115426353464838558776367\ 5409762336773294951230151028987462925076268440508938761451564931451904629238495\ 7643135075416959486759254862140826265632451603988924433027074095057111777083149\ 2730601990132657376825668538896192626228111644226138976218072080909382553689115\ 9682454178109474509747342796144027641560751775] ---------------------------- (A,B)= , {4}, {1, 5} [P^2*x^9+4*P^2*x^8+7*P^2*x^7+6*P^2*x^6-7*P^2*x^5+2*P*x^6-7*P^2*x^4+9*P*x^5-6*P^ 2*x^3+6*P*x^4+15*P^2*x^2+2*P*x^3-7*P^2*x-20*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+ 1, (-C*x^2-2*x+1)/((x^5+x^4+x^3-x^2)*C+x^4+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-\ 101*n^2+673*n-552)*a(n-1)+(859*n^2-7127*n+10488)*a(n-2)+(-3968*n^2+39370*n-\ 80232)*a(n-3)+(10624*n^2-122942*n+314640)*a(n-4)+(-15950*n^2+212224*n-650352)*a (n-5)+(11035*n^2-167735*n+601104)*a(n-6)+(-965*n^2+11173*n-33768)*a(n-7)+(1755* n^2-4587*n-70416)*a(n-8)+(-6438*n^2+102900*n-399504)*a(n-9)+(690*n^2-23712*n+ 157416)*a(n-10)+(2191*n^2-44357*n+215136)*a(n-11)+(1402*n^2-23474*n+94080)*a(n-\ 12)+(-207*n^2+8667*n-66648)*a(n-13)+(-504*n^2+11334*n-63672)*a(n-14)+(-174*n^2+ 3906*n-21720)*a(n-15)+(-10*n^2+152*n-288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0 , a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 89, a(8) = 218, a(9) = 556, a(10) = 1470, a(11) = 4013, a(12) = 11275, a(13) = 32521, a( 14) = 96112, a(15) = 290606, a(16) = 897827, a(17) = 2830919}, [1, 2, 4, 8, 17, 38, 89, 218, 556, 1470, 4013, 11275, 32521, 96112, 290606, 897827, 2830919, 9098930, 29774040, 99059883, 334640449, 1146257578, 3975782350, 13945639708, 49408895435, 176620768917, 636376878693, 2309066465569, 8430761932916, 30953285631364, 114207776916400, 423259836801093, 1574868079479209, 5880797021621420, 22031016469313911, 82777020545806521, 311852258588739344, 1177749063971033930, 4457940705361997034, 16908946724946276385, 64258626916747353747, 244634862124262177676, 932874386620003596174, 3562849011483141326910, 13626912767314469639519, 52189599870436063466196, 200134161084621479103774, 768381386549554726346561, 2953393066647864114580047, 11363901330006054537113474], 82507813448679839868413892781781343186552558334984\ 1106741425275276031922567891086969615061061600775200746400300948167259825566018\ 7251600044885892551200828840980394802647682425239991112950617540708764515518065\ 4641488347805443443966984765533960944654035083796333909436842444956700775589079\ 7293304999414147232106779735861974227845932588599397242005841234853727821417923\ 2170438195906906805368060399081924584290744568102849346910388488270140933594371\ 9241390487956267723003364410182822583551942958648747238990932799675452822955728\ 71240720892412167480965306723634127719277197159590881430209723050136685] ---------------------------- (A,B)= , {4}, {2, 3} [P^2*x^6-2*P^2*x^5-2*P*x^6-2*P^2*x^4+4*P*x^5+x^6+8*P^2*x^3+2*P*x^4-2*x^5+P^2*x^ 2-13*P*x^3-4*P^2*x+2*P*x^2+5*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (C*x^3-x^3+x^2+x-1) /(C*x^3-x^3+x^2+2*x-1), {-3*n*(n-3)*a(n)+(44*n^2-210*n+160)*a(n-1)+(-240*n^2+ 1566*n-2100)*a(n-2)+(554*n^2-4692*n+8800)*a(n-3)+(-251*n^2+3531*n-9628)*a(n-4)+ (-1014*n^2+8916*n-19632)*a(n-5)+(1290*n^2-14820*n+42828)*a(n-6)+(106*n^2+666*n-\ 10408)*a(n-7)+(-458*n^2+2934*n+6704)*a(n-8)+(92*n^2+108*n-9536)*a(n-9)+(-430*n^ 2+10482*n-61400)*a(n-10)+(364*n^2-9570*n+61256)*a(n-11)+(83*n^2-1611*n+7420)*a( n-12)-30*(5*n-56)*(n-13)*a(n-13)+20*(n-14)*(2*n-23)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 30, a(6) = 76, a(7) = 196, a(8) = 514, a(9) = 1373, a(10) = 3742, a(11) = 10426, a(12) = 29752, a(13) = 87086, a(14) = 261696 }, [1, 2, 5, 12, 30, 76, 196, 514, 1373, 3742, 10426, 29752, 87086, 261696, 807431, 2555966, 8289015, 27482898, 92940862, 319791198, 1116888067, 3950860734 , 14128046980, 50988324292, 185465049004, 679145765928, 2501311961383, 9258567716706, 34420517879081, 128458594486278, 481054319654005, 1806983106437704, 6806308426088146, 25701302199789156, 97272276871195240, 368919019011031974, 1401875040732260213, 5336555209243494622, 20348419988776644391, 77708604095430120002, 297188674886233010139, 1138100539807235944522, 4363938098664553626136, 16753046990996776621894, 64386810276477113055175, 247719989062791198338278, 954029137853856165114662, 3677698069373328675318548, 14190036857650660248435028, 54798005521619176233715600], 45385851548423662327714515043188396995982934073688\ 8660637608943105542048359001920623238655787754289438759953973020276401992528872\ 9085487273177261450488305179365658359871632793132903143528610239220427897292279\ 0040911652112803582156662595483441537865746693865704988715457169024370611564729\ 8112103895519172230438261881755225594800989133136093273029949891676196902580468\ 0672654665304752428121789033914513516803914478682520139360655205548727015563290\ 3075929034060234609036417461445154414842461965594021345961217165633241697888115\ 314849832794929442982722454171566869401690684273748262138771324911737464] ---------------------------- (A,B)= , {4}, {2, 4} [4*P^2*x^5-5*P^2*x^4-4*P*x^5+2*P^2*x^3+7*P*x^4+x^5+6*P^2*x^2-6*P*x^3-2*x^4-5*P^ 2*x-6*P*x^2+3*x^3+P^2+8*P*x+x^2-2*P-3*x+1, ((x^3-x^2)*C-x^2-x+1)/((2*x^3-x^2)*C -x^2-2*x+1), {-4*n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-1)+(-436*n^2+3226*n-4548)* a(n-2)+(1453*n^2-13159*n+25614)*a(n-3)+(-2445*n^2+26457*n-64914)*a(n-4)+(1413*n ^2-19419*n+59706)*a(n-5)+(1505*n^2-15227*n+38682)*a(n-6)+(-2809*n^2+34495*n-\ 105198)*a(n-7)+(1412*n^2-16544*n+42912)*a(n-8)+9*(n-9)*(17*n-354)*a(n-9)+(-356* n^2+6278*n-27372)*a(n-10)+(-16*n^2+592*n-4560)*a(n-11)+32*(n-12)*(2*n-23)*a(n-\ 12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 30, a(6) = 75, a(7) = 190, a(8) = 485, a(9) = 1251, a(10) = 3262, a(11) = 8616, a(12) = 23100}, [1, 2 , 5, 12, 30, 75, 190, 485, 1251, 3262, 8616, 23100, 63025, 175461, 499783, 1459921, 4380722, 13512623, 42830452, 139310396, 463965618, 1577989827, 5465275103, 19222998679, 68494070049, 246702161648, 896597370435, 3283099248822 , 12097990201057, 44819641700979, 166807600078644, 623286827463606, 2337054759204565, 8789886095435936, 33150274202706686, 125331784698739047, 474903697449799846, 1803164572503756106, 6859272977204023810, 26137913377688152475, 99760589614523603837, 381323934249422380225, 1459597876187605769179, 5594202442922047824396, 21467155425824117264561, 82472862623640003457868, 317190099233256001337417, 1221165109487736919116719, 4705998313742297668756618, 18152234258810706447892758], 14388046617892690545249\ 7402248833488230251850597261311161639649114849689449099324145326410823150904395\ 9743077246477990885995561943333880199722921320894665405292812092051372683102608\ 1225704444617688244688731673593139621757612749783230239283840676163634112447014\ 9705185923367535269407743920566021627587587591762987561583615187360973455478210\ 5905786232356895908556157536586285925507244188476733778047591834293298786563871\ 6088649671708142215900959503789948481108900640876386515179608748037269991942806\ 7186841887046686107665028223981236422502243670195256643314877095363145303340751\ 43310746844892022891] ---------------------------- (A,B)= , {4}, {2, 5} [9*P^2*x^7+24*P^2*x^6-12*P*x^7-2*P^2*x^5-28*P*x^6+4*x^7-32*P^2*x^4+17*P*x^5+8*x ^6+7*P^2*x^3+44*P*x^4-10*x^5+13*P^2*x^2-22*P*x^3-13*x^4-7*P^2*x-16*P*x^2+12*x^3 +P^2+12*P*x+4*x^2-2*P-5*x+1, ((2*x^4-x^2)*C+2*x^3-x^2-2*x+1)/((3*x^4+x^3-x^2)*C +3*x^3-3*x+1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+(-843*n^2+7011*n-\ 10320)*a(n-2)+(3653*n^2-36559*n+74640)*a(n-3)+(-8040*n^2+95670*n-246984)*a(n-4) +(4656*n^2-74838*n+246240)*a(n-5)+(16367*n^2-210595*n+681372)*a(n-6)+(-31460*n^ 2+497152*n-1934988)*a(n-7)+(1331*n^2-80107*n+550164)*a(n-8)+(37135*n^2-640343*n +2751996)*a(n-9)+(-16062*n^2+367854*n-2059368)*a(n-10)+(-16746*n^2+284370*n-\ 1106064)*a(n-11)+(6780*n^2-167196*n+1017984)*a(n-12)+(-35*n^2+43357*n-556668)*a (n-13)+(348*n^2-7302*n+35784)*a(n-14)+(3708*n^2-111852*n+843264)*a(n-15)+648*(n -16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 30, a(6) = 76, a(7) = 196, a(8) = 513, a(9) = 1362, a(10) = 3666, a(11) = 10003, a( 12) = 27675, a(13) = 77675, a(14) = 221319, a(15) = 640718, a(16) = 1886314}, [ 1, 2, 5, 12, 30, 76, 196, 513, 1362, 3666, 10003, 27675, 77675, 221319, 640718, 1886314, 5652301, 17250342, 53643522, 169991294, 548792880, 1803793902, 6030416944, 20481815957, 70576654445, 246380583356, 870141110274, 3104734925759 , 11178157999289, 40563962976380, 148219589410229, 544869330210079, 2013626173150906, 7476350968236128, 27873409812637254, 104299028603543341, 391552482310709332, 1474259843617613262, 5565550529284863170, 21061313080082471418, 79875529766390453202, 303537965590113722860, 1155615670723226544759, 4407108207846970654559, 16833711375515293450278, 64393794763541218893548, 246662689462008184711727, 946062847641808107781207, 3632948248991362043759920, 13966579734114481562151545], 98979396794478189575164\ 5433324469860317699083199205159456537021729865475344824404743419391278073232695\ 6735961070140261471759463530384223727977271033710712554756285820665573776667692\ 9814634725265145574660273525160278162825936052006633771384167270415717681617959\ 9896129523862659301512648414210283103281698197132479195350438430601331370354662\ 3029036549666948675818583353076796123417372204467227378985447691606199662111126\ 4562173513452930857699162881742922248050331746239377710074100710296735748084259\ 9213246165663575139338594040492063707706075036055372442534024671149309459526023\ 8309696411420814556] ---------------------------- (A,B)= , {4}, {3, 4} [P^2*x^7-2*P^2*x^6+2*P^2*x^5+2*P*x^6-3*P^2*x^4-2*P*x^5-2*P^2*x^3+3*P*x^4+x^5+10 *P^2*x^2-2*P*x^3-6*P^2*x-12*P*x^2+2*x^3+P^2+10*P*x+3*x^2-2*P-4*x+1, (-C*x^3-2*x +1)/((x^4-x^3)*C+x^2-3*x+1), {4*n*(n-4)*a(n)+(-73*n^2+415*n-330)*a(n-1)+(548*n^ 2-4016*n+5664)*a(n-2)+(-2169*n^2+19413*n-37722)*a(n-3)+(4778*n^2-50570*n+123060 )*a(n-4)+(-5497*n^2+67783*n-197466)*a(n-5)+(2166*n^2-33018*n+117060)*a(n-6)+( 1493*n^2-16013*n+40746)*a(n-7)+(-1877*n^2+21143*n-51906)*a(n-8)+(1014*n^2-7374* n-10188)*a(n-9)+(-499*n^2+2635*n+17730)*a(n-10)+(188*n^2-2564*n+7920)*a(n-11)+( -82*n^2+2350*n-16140)*a(n-12)+8*(n-12)*(11*n-149)*a(n-13)-2*(5*n-62)*(7*n-93)*a (n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6) = 96, a(7) = 266, a(8) = 743, a(9) = 2091, a(10) = 5929, a(11) = 16945, a(12) = 48845, a(13) = 142131, a(14) = 417913, a(15) = 1243070}, [1, 2 , 5, 13, 35, 96, 266, 743, 2091, 5929, 16945, 48845, 142131, 417913, 1243070, 3744750, 11438302, 35461574, 111679165, 357472504, 1163217825, 3847339578, 12927689127, 44094981850, 152514404629, 534277103475, 1893248453271, 6777769136411, 24483949928893, 89147516292982, 326840614794207, 1205532826914224, 4469982329196522, 16650626091117385, 62274402353177874, 233741482239324676, 880103602010508834, 3323187863442398454, 12579774553886460172, 47728768299687751950, 181461764392175275893, 691207821737000447738, 2637440099543188409398, 10079704308319616954764, 38579131658057791484569, 147860123354346994147746, 567418361489687955042108, 2180085864520813023070105, 8385513597264572786298319, 32288121590699951915401030], 24262073950296924425642505747487807801421760935108\ 2277701049312080340313122424598484504185515644748782784192562858000501467720329\ 0515088041037895790096075811374406110122585571214948830609252740166275325391415\ 3197723699899341345449763276150234831298879309629243184254869199886590660757374\ 2660525982742526267243484578429380878859760787442852147605315244747170437863712\ 3184666911916974098766723167285575449479507473541736483042903238727668297909347\ 4840061728614775969750356170354934926977696545277219436196407521719673484328080\ 294437417569772357477847627342823929965172958489458861948874381858585007] ---------------------------- (A,B)= , {4}, {3, 5} [P^2*x^9-2*P^2*x^8+2*P^2*x^7+2*P*x^8+9*P^2*x^6-4*P*x^7-30*P^2*x^5+x^7+51*P^2*x^ 4+23*P*x^5-2*x^6-53*P^2*x^3-56*P*x^4-2*x^5+31*P^2*x^2+70*P*x^3+14*x^4-9*P^2*x-\ 48*P*x^2-22*x^3+P^2+16*P*x+18*x^2-2*P-7*x+1, ((-x^4+2*x^3-x^2)*C-x^3+2*x^2-3*x+ 1)/((x^5-2*x^4+3*x^3-x^2)*C+x^4-2*x^3+4*x^2-4*x+1), {5*n*(n-5)*a(n)+(-119*n^2+ 787*n-648)*a(n-1)+(1253*n^2-10261*n+15120)*a(n-2)+(-7717*n^2+75083*n-152544)*a( n-3)+(31001*n^2-348283*n+881832)*a(n-4)+(-85888*n^2+1090814*n-3261960)*a(n-5)+( 169484*n^2-2393068*n+8170812)*a(n-6)+(-242923*n^2+3761669*n-14320452)*a(n-7)+( 255412*n^2-4291676*n+17905212)*a(n-8)+(-196313*n^2+3561127*n-16124748)*a(n-9)+( 107104*n^2-2118572*n+10488060)*a(n-10)+(-38063*n^2+876049*n-5030952)*a(n-11)+( 7032*n^2-263304*n+2111580)*a(n-12)+(-732*n^2+103926*n-1176456)*a(n-13)+(1157*n^ 2-74713*n+784272)*a(n-14)+(-881*n^2+38107*n-361212)*a(n-15)+(62*n^2-3652*n+ 40800)*a(n-16)+(251*n^2-7855*n+61344)*a(n-17)-30*(5*n-76)*(n-17)*a(n-18)+20*(2* n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a (6) = 97, a(7) = 274, a(8) = 784, a(9) = 2265, a(10) = 6596, a(11) = 19346, a( 12) = 57129, a(13) = 169854, a(14) = 508564, a(15) = 1534033, a(16) = 4664072, a(17) = 14302059, a(18) = 44260990, a(19) = 138334186}, [1, 2, 5, 13, 35, 97, 274, 784, 2265, 6596, 19346, 57129, 169854, 508564, 1534033, 4664072, 14302059, 44260990, 138334186, 436931997, 1395531827, 4509517904, 14748514171, 48829732862, 163661615684, 555213899199, 1905767186637, 6615319853642, 23207240222514, 82218410070061, 293931806338134, 1059516995427471, 3847782752275743, 14067827246130519, 51743013566555130, 191339481966444833, 710939962799108178, 2652841514160663789, 9936661147238313360, 37346121374839465047, 140790542182746648061, 532219984382875741303, 2016892095458277020474, 7660323068425583079988, 29153898097661320698651, 111161579249677212044807, 424574929459287829513670, 1624189918493385972405473, 6222292287847669172693600, 23869837857085447076733365], 16107107237896589672166\ 2420907285406410241271338163720940077341418856930526245850023023747387432563581\ 7001846210754198387469896331347336082197234147158984717980411015970830446116081\ 4070960535663909274717821838812623275738957774414629138959391889380915280932324\ 5918458923924881939013932869770807705401396801446736715888753516394959627659906\ 1312527759274867004555263521429958004030365944767661588373407799723695499328861\ 6579713240861341946091419960798539185371121925252261186965037200345233527031183\ 8534917797907697166373842576113676676410859163814764607866366304912437768222405\ 87413684611419980407] ---------------------------- (A,B)= , {4}, {4, 5} [4*P^2*x^7+4*P^2*x^6-4*P*x^7-P^2*x^5-2*P*x^6+x^7-18*P^2*x^4+7*P*x^5+9*P^2*x^3+ 20*P*x^4-3*x^5+8*P^2*x^2-20*P*x^3-4*x^4-6*P^2*x-8*P*x^2+9*x^3+P^2+10*P*x+x^2-2* P-4*x+1, ((x^4-x^3)*C+x^3-x^2-2*x+1)/((2*x^4-x^3)*C+2*x^3-3*x+1), {-5*n*(n-5)*a (n)+(92*n^2-616*n+504)*a(n-1)+(-682*n^2+5714*n-8400)*a(n-2)+(2515*n^2-25415*n+ 51888)*a(n-3)+(-4210*n^2+51086*n-132360)*a(n-4)+(-285*n^2-4839*n+26112)*a(n-5)+ (11736*n^2-156960*n+518928)*a(n-6)+(-13178*n^2+203860*n-776592)*a(n-7)+(-3468*n ^2+56388*n-229704)*a(n-8)+(12212*n^2-235216*n+1122408)*a(n-9)+(-2286*n^2+67656* n-441792)*a(n-10)+(-2634*n^2+48750*n-217632)*a(n-11)+(-298*n^2-5488*n+103824)*a (n-12)+(196*n^2+3136*n-73464)*a(n-13)+(-24*n^2+1176*n-11424)*a(n-14)+(112*n^2-\ 3584*n+28512)*a(n-15)+96*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6) = 96, a(7) = 266, a(8) = 742, a(9) = 2080, a(10 ) = 5855, a(11) = 16546, a(12) = 46946, a(13) = 133776, a(14) = 383042, a(15) = 1102787, a(16) = 3195032}, [1, 2, 5, 13, 35, 96, 266, 742, 2080, 5855, 16546, 46946, 133776, 383042, 1102787, 3195032, 9324614, 27444921, 81570546, 245162913 , 746198434, 2303251972, 7218739098, 22995696446, 74502934191, 245545302210, 823028449086, 2803707906259, 9697132286230, 34009239204653, 120777015046409, 433690916953456, 1572457573476806, 5749329414114471, 21173332010212701, 78460613123406573, 292296476193466216, 1093910544258216425, 4110126779939374816 , 15495929302260218223, 58597758709538154020, 222171925697860143254, 844330089341034877678, 3215451191003308007522, 12268383908517960160431, 46889118358230697472564, 179486235535637924070744, 688032813872995752983291, 2640938766418051210552970, 10149327476531889759028619], 71991343213487870275577\ 3113904854371394935468963200308065655844412137574089080967124640416945712390215\ 1214111588539140545834170332879492416113559398477713063303372010437590850009555\ 2379761594382550963273463219993064576810832851204327834173292694602550819164717\ 8090156570607273239790529347348357219391150913266584198734568846431416859552512\ 8879525348077633452521686478124847988410390876436466960468912177769567463653956\ 0575960382134986011185563125010910953782639050993384983981974699761698235627696\ 7148227749828205546076999127099439863899504188309224895292199590883838134729185\ 0474405360309252130] ---------------------------- (A,B)= , {4}, {1, 2, 3} [P^2*x^8-2*P^2*x^7+P^2*x^5+6*P^2*x^4-P^2*x^3-2*P*x^4-P^2*x^2+3*P*x^3-2*P^2*x+2* P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^4-x^4+x^3+x^2+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16) *(n-4)*a(n-1)+(-126*n^2+852*n-1140)*a(n-2)+(151*n^2-1287*n+2360)*a(n-3)+(-11*n^ 2-39*n+284)*a(n-4)+(170*n^2-654*n-620)*a(n-5)+(-466*n^2+3852*n-6872)*a(n-6)+(69 *n^2-591*n+564)*a(n-7)+(89*n^2-1509*n+5128)*a(n-8)+(224*n^2-1986*n+4408)*a(n-9) +(-79*n^2+141*n+2620)*a(n-10)+(-6*n^2+126*n-456)*a(n-11)+(10*n^2-102*n+200)*a(n -12)+(-10*n^2+216*n-1136)*a(n-13)+4*(2*n-19)*(n-10)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 14, a(6) = 28, a(7) = 58, a(8) = 127, a(9) = 294, a(10) = 729, a(11) = 1942, a(12) = 5538, a(13) = 16760, a(14) = 53216}, [1 , 2, 4, 7, 14, 28, 58, 127, 294, 729, 1942, 5538, 16760, 53216, 175331, 593941, 2054395, 7219601, 25686315, 92293301, 334306669, 1219157099, 4471852418, 16485357752, 61042243533, 226919164642, 846534172899, 3168126222404, 11891017372380, 44749215528567, 168813500228972, 638265492731242, 2418214483500458, 9179574300690808, 34908124118209735, 132970309349564866, 507294502550224149, 1938208698215237734, 7415447101712850039, 28407663973310286196, 108958991680637373927, 418399047205398663598, 1608390262980809369738, 6189285794878323202038, 23840487000417498292993, 91916619381190754223831, 354697150018517334443720, 1369896931298776830371996, 5295021117379856669658536, 20482423205801375090619007], 18056284295501234209184\ 5859387365046297004959630926683406545976532756146198370005618635469192028391146\ 9037480108375005483077681032309854067615401477404425095918578104560183822961401\ 2823966537119066505020523134398645784036604817051347582862714901783643758042624\ 0895476640723891814019015101550965072620083020480493944387623918339806981557911\ 8169452025987614402248032402924366994392174967905319305602704311298785394741606\ 4107792954665765092598838581546419937888075774187680631321528411403153950418756\ 7091066637356362726973675287613890338718029367716137555013329711679493233893983\ 55854509020247360879] ---------------------------- (A,B)= , {4}, {1, 2, 4} [P^2*x^7+2*P^2*x^6-P^2*x^5+2*P*x^5+2*P^2*x^3+P*x^4+P^2*x^2-2*P*x^3-3*P^2*x+x^3+ P^2+4*P*x-2*P-x+1, (-C*x^2+1)/((x^4+x^3-x^2)*C-x^3-x^2-x+1), {4*n*(n-4)*a(n)+(-\ 52*n^2+304*n-240)*a(n-1)+(248*n^2-1880*n+2640)*a(n-2)+(-515*n^2+4787*n-9318)*a( n-3)+(367*n^2-4255*n+10806)*a(n-4)+(189*n^2-1821*n+4290)*a(n-5)+(-272*n^2+3998* n-14076)*a(n-6)+(-156*n^2+630*n+2772)*a(n-7)+(337*n^2-3355*n+6534)*a(n-8)+(-100 *n^2+1528*n-5184)*a(n-9)+(-141*n^2+1665*n-4290)*a(n-10)+2*(26*n-225)*(n-10)*a(n -11)-2*(n-10)*(n-63)*a(n-12)+(6*n^2-168*n+1128)*a(n-13)+4*(n-12)*(2*n-23)*a(n-\ 14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 14, a(6) = 27, a(7) = 54, a(8) = 111, a(9) = 236, a(10) = 527, a(11) = 1247, a(12) = 3157, a(13) = 8576, a(14) = 24899}, [1, 2, 4, 7, 14, 27, 54, 111, 236, 527, 1247, 3157, 8576, 24899, 76547, 246333, 820802, 2806894, 9786244, 34623252, 123895734, 447387841, 1627578942, 5958172361, 21928526749, 81083380008, 301052805314, 1121886503612, 4194599719466, 15730138048695, 59150662645696, 222983158884014, 842525187172292 , 3190183067899766, 12103263252957433, 46002688142683698, 175147451611886254, 667906678806061876, 2550793400205333910, 9755344485423454217, 37357831062882227547, 143238405039507864393, 549852166959240764268, 2113067638033407097611, 8128986830344663633120, 31303403459411830392436, 120658285582156777263288, 465492976357271868599823, 1797384081062907278544031, 6945813549131703094433044], 587769388856645966919609750221166194757297731183247\ 5754005465600307016625747230203233306579276493643620994372538298987313165848756\ 3301131997084638201810863289511461553171434567113984575820026245902982414434778\ 2070283992729511569575649906527139166302101486727372665668474862373465675484939\ 6817771353309043821577280614588163459237540647989443705279896508193783898407727\ 2830564855950990788713413019089381683565665141333528848388116791315167778267894\ 7306848164051991520522795004850683004480221380295829560371514923954491966158906\ 8864829026662132569717214299335528014365751075125427291941052986171724] ---------------------------- (A,B)= , {4}, {1, 2, 5} [4*P^2*x^9+16*P^2*x^8+14*P^2*x^7-7*P^2*x^6+4*P*x^7-22*P^2*x^5+16*P*x^6-2*P^2*x^ 4+17*P*x^5+10*P^2*x^3-6*P*x^4+x^5+4*P^2*x^2-16*P*x^3+4*x^4-5*P^2*x-2*P*x^2+5*x^ 3+P^2+8*P*x-x^2-2*P-3*x+1, ((-x^3-x^2)*C-x^2-x+1)/((2*x^5+2*x^4-x^2)*C+2*x^4+x^ 3-x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(537*n^2-4539*n+6660)* a(n-2)+(-1615*n^2+16553*n-33828)*a(n-3)+(1723*n^2-21863*n+57480)*a(n-4)+(1799*n ^2-20623*n+58368)*a(n-5)+(-3886*n^2+62684*n-232548)*a(n-6)+(-4209*n^2+45441*n-\ 111588)*a(n-7)+(8289*n^2-139845*n+575940)*a(n-8)+(6036*n^2-78612*n+234600)*a(n-\ 9)+(-7967*n^2+160243*n-783480)*a(n-10)+(-8438*n^2+133510*n-507072)*a(n-11)+( 3701*n^2-95515*n+592092)*a(n-12)+(5554*n^2-104420*n+475440)*a(n-13)+(-164*n^2+ 22360*n-247680)*a(n-14)+(-1236*n^2+32340*n-211824)*a(n-15)+(800*n^2-25000*n+ 193056)*a(n-16)+48*(19*n-284)*(n-15)*a(n-17)+96*(n-16)*(2*n-29)*a(n-18) = 0, a( 1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 14, a(6) = 28, a(7) = 58, a(8) = 126, a(9) = 285, a(10) = 676, a(11) = 1682, a(12) = 4388, a(13) = 11985, a(14) = 34171, a(15) = 101324, a(16) = 311156, a(17) = 985312, a(18) = 3203932}, [1, 2, 4, 7, 14, 28, 58, 126, 285, 676, 1682, 4388, 11985, 34171, 101324, 311156, 985312, 3203932, 10657009, 36136548, 124547847, 435230231, 1538822731, 5495329619, 19793152200, 71819402280, 262272679359, 963163717590, 3554618241521 , 13176163757954, 49032482624230, 183106806247686, 685966617717913, 2577224963403075, 9708287463407202, 36658794799290824, 138731528059929947, 526089622655964087, 1998786754240655862, 7607415159188705195, 29001443558680550953, 110730476935954229953, 423387064454657468566, 1621035992740453901601, 6214378241807930802165, 23851792879450853017570, 91650276061879856627099, 352540823028070549104220, 1357449139643819587361848, 5231831811801298033760403], 400940640239539765583982572304074227719771853555773\ 1108994971989498054970768478034508954988787203493550056254163293009744243977977\ 3643010427025998670208644536562203835647978853961889819321702692295422854665225\ 4291638622038481540132653624748165947514416691497767779835125424908938780384934\ 5488650193520901159219480115532044419331994306776671477822622897430086308755966\ 7686213047484526485921305211353538086610240699204744231637308504620787815016301\ 7712181509349120214474954328910657413543532301241628113536923142111164792856427\ 3691891402880591984481144253878071876785375610542876875288226148817886] ---------------------------- (A,B)= , {4}, {1, 3, 4} [P^2*x^7-2*P^2*x^6+P^2*x^5+2*P*x^6-2*P^2*x^4-2*P*x^5+3*P^2*x^3+P*x^4+x^5+3*P^2* x^2-4*P*x^3-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (-C*x^3-x+1)/((x^4-x^3)*C-\ 2*x+1), {4*n*(n-4)*a(n)+(-59*n^2+341*n-270)*a(n-1)+(336*n^2-2514*n+3540)*a(n-2) +(-909*n^2+8343*n-16266)*a(n-3)+(1075*n^2-11995*n+29898)*a(n-4)+(-38*n^2+1988*n -8736)*a(n-5)+(-1035*n^2+11865*n-33558)*a(n-6)+(776*n^2-8642*n+22716)*a(n-7)+(-\ 303*n^2+141*n+16578)*a(n-8)+(294*n^2-348*n-17496)*a(n-9)+(-178*n^2+1678*n-1452) *a(n-10)+(44*n^2-1640*n+12912)*a(n-11)-6*(n-11)*(5*n-134)*a(n-12)+24*(n-12)*(3* n-38)*a(n-13)-2*(5*n-62)*(7*n-93)*a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 37, a(7) = 82, a(8) = 186, a(9) = 433, a(10) = 1039, a(11) = 2584, a(12) = 6696, a(13) = 18152, a(14) = 51565, a(15) = 153321}, [1, 2, 4, 8, 17, 37, 82, 186, 433, 1039, 2584, 6696, 18152, 51565, 153321, 475372, 1528579, 5066923, 17214964, 59650596, 209951256, 748255824, 2693801231, 9778538369, 35741717652, 131404765448, 485540455923, 1801931823941, 6713140022548, 25096020740803, 94107601539230, 353881865788074, 1334128572430110, 5041385329040913, 19091240034160216, 72440189502950680, 275374441260657334, 1048601905059228392, 3999363240114171955, 15276347197461724764, 58432741527944795014, 223802257631502772857, 858244060404985713000, 3295071776395243025800, 12664814454181595735231, 48728954002853464886817, 187674862230624683741822, 723492694022599465851144, 2791586689978106527704504, 10780486938273912569669841], 88947844907818027117765\ 8161657589445640944570234294021655583111292142777145322722960617917707560699849\ 9035694886143760284492065946501228433424888876420800787567541287027167633685376\ 4452223591901668446205449751229009515625711217258836686724120211023469324713031\ 9931451988910484960288003673635401174052912532787635865264304470001585846551521\ 0186896458126123244180316881861609984462534946084196623931179869931743066876126\ 4395911339090715334921881367903446357185644006648196536690224483942294080460914\ 1681083368991473024235006254295330592509394017675924118156776539310637343684781\ 3686033804546017265] ---------------------------- (A,B)= , {4}, {1, 3, 5} [P^2*x^9+P^2*x^7+2*P*x^8+4*P^2*x^6-12*P^2*x^5+x^7+17*P^2*x^4+11*P*x^5-22*P^2*x^ 3-22*P*x^4-x^5+18*P^2*x^2+28*P*x^3+7*x^4-7*P^2*x-26*P*x^2-9*x^3+P^2+12*P*x+9*x^ 2-2*P-5*x+1, ((-x^4+x^3-x^2)*C-x^3+x^2-2*x+1)/((x^5-x^4+2*x^3-x^2)*C+x^4-x^3+2* x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+(883*n^2-7301*n+10740)* a(n-2)+(-4413*n^2+43359*n-88140)*a(n-3)+(14072*n^2-159568*n+405168)*a(n-4)+(-\ 30435*n^2+389619*n-1170552)*a(n-5)+(46798*n^2-663614*n+2275800)*a(n-6)+(-53628* n^2+827664*n-3149820)*a(n-7)+(47682*n^2-790644*n+3267432)*a(n-8)+(-33023*n^2+ 588349*n-2621484)*a(n-9)+(17031*n^2-333705*n+1637940)*a(n-10)+(-6148*n^2+144140 *n-844980)*a(n-11)+(1415*n^2-54559*n+447216)*a(n-12)+(-200*n^2+24982*n-279012)* a(n-13)+(242*n^2-17788*n+191928)*a(n-14)+(-290*n^2+12808*n-122700)*a(n-15)+(94* n^2-3596*n+32736)*a(n-16)+(43*n^2-1427*n+11784)*a(n-17)-2*(11*n-156)*(n-17)*a(n -18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a( 5) = 17, a(6) = 38, a(7) = 88, a(8) = 210, a(9) = 515, a(10) = 1296, a(11) = 3346, a(12) = 8869, a(13) = 24163, a(14) = 67744, a(15) = 195616, a(16) = 581894, a(17) = 1782091, a(18) = 5611080, a(19) = 18125129}, [1, 2, 4, 8, 17, 38, 88, 210, 515, 1296, 3346, 8869, 24163, 67744, 195616, 581894, 1782091, 5611080, 18125129, 59913614, 202109685, 693882628, 2418376129, 8537345452, 30467734081, 109740065557, 398389346314, 1456066833132, 5352870019465, 19778618732992, 73407247245872, 273521776647716, 1022747326020558, 3836291491004355, 14430752806201092, 54423601509515379, 205735401999184210, 779416778777801330, 2958663989568045734, 11251795282583047393, 42863818353511035600, 163550411223037160510, 624968960761189849688, 2391498804678897695741, 9163252892730409371284, 35153073192843977156620, 135014498691594932343851, 519126290644304177360570, 1998092155939252741871421, 7698113913221966214387065], 582741809198428698955062092318638324737847919040517\ 3046759547324781309147133790562818802753426820260110206304669860923376563255140\ 7206012903797735298981984806239586101708083447299061911163118667063878779190906\ 7164828492672358368590808588086891442750650774176872401431767032030775209254706\ 2713858503832307123517427207779354182816332179565389930253977049504618840349413\ 2478028760485237308365808675656099655879305410799314496784836368154475568133925\ 7857413793465786861900982789734984502941321019215279738644477467273460637171801\ 3015336716304601945427571137961897044940808154665242500115852523820711] ---------------------------- (A,B)= , {4}, {1, 4, 5} [P^2*x^9+4*P^2*x^8+3*P^2*x^7-4*P^2*x^6+2*P*x^7-9*P^2*x^5+6*P*x^6-P^2*x^4+5*P*x^ 5+9*P^2*x^3-4*P*x^4+x^5+P^2*x^2-12*P*x^3+2*x^4-4*P^2*x+2*P*x^2+3*x^3+P^2+6*P*x-\ 2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^5+x^4-x^3)*C+x^4+x^3-x^2-2*x+1), {5*n*(n-\ 5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(408*n^2-3486*n+5100)*a(n-2)+(-935*n^2+9775* n-19968)*a(n-3)+(246*n^2-4356*n+12444)*a(n-4)+(2382*n^2-29112*n+84636)*a(n-5)+( -2309*n^2+35599*n-127668)*a(n-6)+(-2772*n^2+37890*n-128316)*a(n-7)+(3064*n^2-\ 55256*n+241032)*a(n-8)+(2752*n^2-41774*n+156348)*a(n-9)+(-1638*n^2+37494*n-\ 204096)*a(n-10)+(-2245*n^2+37823*n-154908)*a(n-11)+(140*n^2-9028*n+80040)*a(n-\ 12)+(916*n^2-17684*n+83112)*a(n-13)+(80*n^2+1400*n-29040)*a(n-14)+(-154*n^2+ 4466*n-32256)*a(n-15)+(76*n^2-2372*n+18336)*a(n-16)+(106*n^2-3194*n+24048)*a(n-\ 17)+12*(n-16)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5 ) = 17, a(6) = 37, a(7) = 82, a(8) = 185, a(9) = 424, a(10) = 988, a(11) = 2346 , a(12) = 5696, a(13) = 14205, a(14) = 36573, a(15) = 97699, a(16) = 271842, a( 17) = 789306, a(18) = 2389891}, [1, 2, 4, 8, 17, 37, 82, 185, 424, 988, 2346, 5696, 14205, 36573, 97699, 271842, 789306, 2389891, 7522796, 24501659, 82124111 , 281774710, 985050732, 3495163321, 12549024839, 45485580954, 166146629622, 610778094607, 2257402509293, 8381659505933, 31245184554391, 116885236506634, 438623220708457, 1650597400318512, 6227208792418950, 23547852354057435, 89234245781007240, 338814544253774136, 1288782450630691486, 4910531553684053147 , 18739548942545759097, 71618812073183043040, 274089567034058198157, 1050314088797968321770, 4029715385489129096514, 15478474431124659298952, 59518665663920751259768, 229099625551964847926712, 882711221158165718983629, 3404197073455789201686862], 266813221635398947973789867024101768691061973128791\ 8049040594110671295532786383273592513082178574213878813731903906186101811575992\ 5844150145479084207855209574824758048874197760909328905582819827428451657496342\ 9435078927275354921066844658760594261604851848747062370684267347190770182635732\ 3489740838778449575179454619700673978010717665764088597260613583126444287190816\ 5623958755822546862797328288219184207594918001280073919258990081850352855391244\ 6969774563390631409597646333697741849232009478864148333400864822589259502913967\ 4893782529207991228611510651391904229814881799958924115933196334731192] ---------------------------- (A,B)= , {4}, {2, 3, 4} [P^2*x^7-2*P*x^7+P^2*x^5+x^7+3*P^2*x^4-2*P*x^5+3*P^2*x^3-5*P*x^4+x^5+2*P^2*x^2-\ 4*P*x^3+2*x^4-4*P^2*x+x^3+P^2+6*P*x-x^2-2*P-2*x+1, (C*x^4+x^2+x-1)/(C*x^4+x^2+2 *x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-330*n^2+2478*n-3492)*a(n-2) +(840*n^2-7764*n+15144)*a(n-3)+(-827*n^2+9209*n-22662)*a(n-4)+(-115*n^2+1345*n-\ 4326)*a(n-5)+(273*n^2-4965*n+19926)*a(n-6)+(435*n^2-6243*n+22374)*a(n-7)+(25*n^ 2+1793*n-16374)*a(n-8)+(-184*n^2+718*n+9012)*a(n-9)+(-125*n^2+5555*n-44334)*a(n -10)+(41*n^2-1127*n+8334)*a(n-11)+(23*n^2-1283*n+12318)*a(n-12)+(72*n^2-2406*n+ 19140)*a(n-13)+3*(n-14)*(17*n-243)*a(n-14)-2*(11*n-134)*(n-15)*a(n-15)+20*(n-16 )*(2*n-27)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 30, a(6 ) = 75, a(7) = 189, a(8) = 479, a(9) = 1223, a(10) = 3149, a(11) = 8191, a(12) = 21570, a(13) = 57658, a(14) = 156922, a(15) = 436257, a(16) = 1242872}, [1, 2 , 5, 12, 30, 75, 189, 479, 1223, 3149, 8191, 21570, 57658, 156922, 436257, 1242872, 3638527, 10965878, 34045019, 108805053, 357274835, 1202026549, 4130436260, 14449031922, 51301700505, 184386296915, 669375114142, 2450047568012 , 9028629140357, 33459651456920, 124591597243819, 465823930037686, 1747761201756708, 6577787413246112, 24823457470693889, 93908515473742883, 356045282404128886, 1352624141630452358, 5148110513686688310, 19627046654087083882, 74945269399844679673, 286594715910000048513, 1097450183466892024289, 4207815569819657692659, 16152889327896087110080, 62077616685538723602633, 238827098975843427866373, 919752131591367644808747, 3545468519680746326710971, 13679523183121988656938723], 10953927172706631236043\ 3882275320816574658307063764905560953344441601552967835253790818653814814708919\ 4883713780284666209780475580769361477327485974191614835800255729944752363255058\ 6706214581790542448643499271978728476474938967968625575687296639485571575034654\ 4993451809095847845820200763945480809743992693850667444036316702273035124385908\ 3172805212109234857119454905964441087079379784548487497674699010839238756995127\ 6377202885282979351887453067896563758485351603138683330570808040670547244533798\ 5798855500479476936598973943385450682661752270939798854765153453949827365336172\ 53178435194657464906] ---------------------------- (A,B)= , {4}, {2, 3, 5} [P^2*x^9-2*P*x^9-7*P^2*x^7+x^9+3*P^2*x^6+12*P*x^7+17*P^2*x^5-8*P*x^6-5*x^7-14*P ^2*x^4-23*P*x^5+5*x^6-9*P^2*x^3+28*P*x^4+7*x^5+16*P^2*x^2+4*P*x^3-12*x^4-7*P^2* x-22*P*x^2+2*x^3+P^2+12*P*x+7*x^2-2*P-5*x+1, ((x^5-x^4-x^3+x^2)*C+x^4-x^3+2*x-1 )/((x^5-x^4-2*x^3+x^2)*C+x^4-x^3-x^2+3*x-1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+ 552)*a(n-1)+(-867*n^2+7185*n-10572)*a(n-2)+(4098*n^2-40548*n+82548)*a(n-3)+(-\ 11416*n^2+131648*n-336072)*a(n-4)+(17874*n^2-238536*n+729612)*a(n-5)+(-10266*n^ 2+170652*n-633948)*a(n-6)+(-13287*n^2+172857*n-576048)*a(n-7)+(27129*n^2-444693 *n+1833564)*a(n-8)+(-11837*n^2+248341*n-1286592)*a(n-9)+(-9046*n^2+115652*n-\ 239616)*a(n-10)+(8906*n^2-151774*n+577896)*a(n-11)+(-1181*n^2+50137*n-427356)*a (n-12)+(1535*n^2-82471*n+821028)*a(n-13)+(-1280*n^2+45862*n-397464)*a(n-14)+(-\ 2163*n^2+73713*n-619260)*a(n-15)+(1714*n^2-58352*n+495408)*a(n-16)+(494*n^2-\ 16558*n+138696)*a(n-17)+(-532*n^2+18572*n-161760)*a(n-18)-6*(5*n-76)*(n-19)*a(n -19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a (5) = 30, a(6) = 76, a(7) = 195, a(8) = 505, a(9) = 1319, a(10) = 3474, a(11) = 9231, a(12) = 24768, a(13) = 67191, a(14) = 184591, a(15) = 514533, a(16) = 1458231, a(17) = 4210932, a(18) = 12414658, a(19) = 37428417, a(20) = 115512725 }, [1, 2, 5, 12, 30, 76, 195, 505, 1319, 3474, 9231, 24768, 67191, 184591, 514533, 1458231, 4210932, 12414658, 37428417, 115512725, 365048061, 1180725465, 3903907476, 13171429219, 45251392945, 157951760100, 558932565564, 2001054211082 , 7235126930709, 26378817353000, 96856265977275, 357768185544857, 1328309498906924, 4953500268229295, 18543397657255559, 69650699881279535, 262393030805920825, 991129857785389511, 3752704073573172340, 14239544957435244688, 54138130813873195223, 206202991285920298618, 786701626675165667362, 3006043044661277869588, 11502799292331275400724, 44075129568870405420090, 169094067512376146493556, 649493303237138313426653, 2497483222634283492201877, 9613575303966635889053234], 708598065683876149000331\ 7937587751655686882622717936436253300397981135482512105316545728183809684706478\ 8512759968511106451060485650663568762510132767188533994944572508216479613713272\ 5143495785126583898520641663197049303731168301680112001833697088704912777369964\ 6337200628451781213259926818053242234494706247553690573801599778012346296825081\ 3197028535816646091130755358462959427813675727700157232504874815052302541932207\ 4188764513381643143163915127288805978521535189197835933686859714640113096926352\ 1072172768175709515097613215528494305511222936054911406495225805292528091259834\ 719615434197620132] ---------------------------- (A,B)= , {4}, {2, 4, 5} [4*P^2*x^7+4*P^2*x^6-4*P*x^7-13*P^2*x^5-2*P*x^6+x^7-6*P^2*x^4+19*P*x^5+16*P^2*x ^3-6*x^5-P^2*x^2-24*P*x^3+3*x^4-4*P^2*x+6*P*x^2+8*x^3+P^2+6*P*x-4*x^2-2*P-2*x+1 , ((x^4-x^3)*C+x^3-2*x^2-x+1)/((2*x^4-x^3)*C+2*x^3-2*x^2-2*x+1), {-5*n*(n-5)*a( n)+(74*n^2-502*n+408)*a(n-1)+(-392*n^2+3370*n-4932)*a(n-2)+(704*n^2-7672*n+ 15744)*a(n-3)+(1003*n^2-9197*n+21708)*a(n-4)+(-5285*n^2+65413*n-193272)*a(n-5)+ (3706*n^2-55586*n+196944)*a(n-6)+(8635*n^2-127247*n+466788)*a(n-7)+(-12272*n^2+ 209068*n-883368)*a(n-8)+(-2614*n^2+32984*n-89400)*a(n-9)+(9352*n^2-171524*n+ 782616)*a(n-10)+(-962*n^2+27058*n-177720)*a(n-11)+(-2066*n^2+33952*n-113328)*a( n-12)+(196*n^2-4208*n+20328)*a(n-13)+(-408*n^2+14040*n-116256)*a(n-14)+(112*n^2 -3584*n+28512)*a(n-15)+96*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 30, a(6) = 75, a(7) = 189, a(8) = 478, a(9) = 1214, a(10 ) = 3096, a(11) = 7933, a(12) = 20441, a(13) = 53032, a(14) = 138761, a(15) = 366960, a(16) = 983420}, [1, 2, 5, 12, 30, 75, 189, 478, 1214, 3096, 7933, 20441, 53032, 138761, 366960, 983420, 2679059, 7444794, 21178176, 61870822, 186075535, 576774827, 1842087943, 6051602547, 20393646105, 70264335224, 246650428250, 879255631277, 3173860462085, 11573323423690, 42548568390669, 157472540094754, 586004931831864, 2190659627233003, 8220857166377716, 30951973779630468, 116869519333363999, 442392338771361764, 1678373232621555540, 6380393329677924352, 24299901333859703188, 92702791789210171791, 354205633367780401388, 1355324931275312092815, 5192947520575041390870, 19921832323793722595529, 76516645421795100553417, 294214295642618644789535, 1132467265546056813102892, 4363318340122786485112143], 332069537654372877974527\ 0521568656209121219027209047047726879236416520782993280060207998450302867825677\ 7299780846886908306288821810232334840843737289948980828128663921086185761610808\ 3345365361052881305408877503242439599333385804137644827653776198479179934800825\ 1709650664300388494337551512668935378925129326295121092464399507448966640079124\ 9899676369746924525674574877048653609484400278781212703315181237493968956789252\ 0210585030655975872125208332132007271321475509007630792709684854224053869505308\ 2786137595718426951945209849309393435142675365944875060697005545396523354123333\ 949317433916738095] ---------------------------- (A,B)= , {4}, {3, 4, 5} [P^2*x^9-3*P^2*x^7+2*P*x^8+5*P^2*x^6+2*P*x^7-12*P^2*x^5-4*P*x^6+x^7+13*P^2*x^4+ 9*P*x^5+2*x^6-9*P^2*x^3-18*P*x^4+11*P^2*x^2+10*P*x^3+6*x^4-6*P^2*x-14*P*x^2-3*x ^3+P^2+10*P*x+4*x^2-2*P-4*x+1, (-C*x^4-x^3-2*x+1)/((x^5-x^4)*C+x^4-x^3+x^2-3*x+ 1), {5*n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+(706*n^2-5888*n+8652)*a(n-2)+(-\ 2953*n^2+29315*n-59592)*a(n-3)+(7495*n^2-85577*n+216996)*a(n-4)+(-12685*n^2+ 161033*n-478740)*a(n-5)+(16728*n^2-228066*n+756432)*a(n-6)+(-19818*n^2+286572*n -1028784)*a(n-7)+(19756*n^2-304616*n+1172760)*a(n-8)+(-15339*n^2+251469*n-\ 1028424)*a(n-9)+(10357*n^2-184649*n+823860)*a(n-10)+(-5581*n^2+112871*n-575388) *a(n-11)+(1768*n^2-44276*n+275820)*a(n-12)+(-298*n^2+11864*n-99468)*a(n-13)+( 137*n^2-9277*n+100464)*a(n-14)+(-166*n^2+8804*n-91356)*a(n-15)+(172*n^2-6032*n+ 51816)*a(n-16)-21*(n-16)*(7*n-115)*a(n-17)+2*(n-12)*(n-11)*a(n-18)+20*(2*n-31)* (n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 35, a(6) = 96, a(7) = 265, a(8) = 734, a(9) = 2039, a(10) = 5680, a(11) = 15868, a(12) = 44469, a(13) = 125066, a(14) = 353197, a(15) = 1002326, a(16) = 2860950, a(17) = 8222409, a(18) = 23825401, a(19) = 69707880}, [1, 2, 5, 13, 35, 96, 265, 734, 2039, 5680, 15868, 44469, 125066, 353197, 1002326, 2860950, 8222409, 23825401, 69707880, 206272897, 618417731, 1881748966, 5820819598, 18328562036, 58801280636, 192272811182, 640659342893, 2173604552911, 7499750432106, 26275960797125, 93320697217772, 335393993392636, 1217795181225052, 4460476055547759, 16458869751417559, 61113330271074573, 228124776256546589, 855388763024103247, 3219767478185921634, 12159686332370804000, 46053949653637868576, 174864889513764987271, 665429815781879548391, 2537236778770918262530, 9691523182437724212218, 37078566490620809216519, 142066838528452696145548, 545066635627005757276322, 2093867493446587651473659, 8052914600546553117396200], 583544755942345584175347720123646685399950925437717\ 8885638327500564086796032745173701518542582770840788891769418599244626847020882\ 8324708673530225907709119303941674825608491673328951583128209119647766746018249\ 7032615858607518319684186459561943694482091163561295269051313226457530703652137\ 3038315727617830898663494660866991211572074988197856390346004687240753213439121\ 5093423020845992593736796572586501746036124045181187691286301475742136593474866\ 0086383981167048618634035407355685456173335047572914774502977892041706294042153\ 3659212383505259253748488465490590052848150571175035055491646911914488] ---------------------------- (A,B)= , {4}, {1, 2, 3, 4} [P^2*x^9+P^2*x^7+2*P^2*x^6+3*P^2*x^5+2*P^2*x^4+P*x^4-P^2*x^2+2*P*x^3-2*P^2*x+2* P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^5+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-\ 5)*a(n-1)+(-166*n^2+1288*n-1800)*a(n-2)+(194*n^2-1868*n+3612)*a(n-3)+2*(20*n-59 )*(n-6)*a(n-4)+(-14*n^2+464*n-1812)*a(n-5)+(-161*n^2+2141*n-6630)*a(n-6)+(-171* n^2+1743*n-4170)*a(n-7)+(18*n^2-642*n+3120)*a(n-8)+(114*n^2-2100*n+8568)*a(n-9) +(213*n^2-2889*n+10218)*a(n-10)+(-8*n^2-640*n+4800)*a(n-11)+(70*n^2-1000*n+3636 )*a(n-12)+(34*n^2-508*n+1872)*a(n-13)+(23*n^2-401*n+1734)*a(n-14)+2*(n-10)*(2*n -21)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 14, a(6) = 27, a(7) = 53, a(8) = 107, a(9) = 221, a(10) = 476, a(11) = 1081, a(12) = 2622, a( 13) = 6852, a(14) = 19292, a(15) = 58066}, [1, 2, 4, 7, 14, 27, 53, 107, 221, 476, 1081, 2622, 6852, 19292, 58066, 184497, 610757, 2083225, 7260837, 25710035 , 92125526, 333173244, 1213914062, 4450226704, 16400317337, 60715113668, 225673716145, 841814231163, 3150268299606, 11823459559484, 44493463682810, 167844243771612, 634587410911031, 2404237855731448, 9126389252478116, 34705460660188216, 132197015695609581, 504340052299928859, 1926906827847894329, 7372161557239151262, 28241693054210407243, 108321908940611256072, 415951036179936906726, 1598974305922890938988, 6153033960353416719517, 23700788494265746971735, 91377813173889687145952, 352617279908981599512469, 1361861905603516348782146, 5263956124982590697036515], 449453520873782773258909\ 8530067487813344598653378102559287392802095146538766317255889321216218409507392\ 7891980283952436951659438475105837169179035943398187202273202854065754440294175\ 5096778451770603737286520982511813850085361663226063007302359465328108538596128\ 5763933015191862324395124571102858706342481839285225688425603921783423369474978\ 2867201401177582134713804270489104072259385033239842240012088037633713173177152\ 4118206062315466464145454169141978276746795376995106814934492286183467803398784\ 4266952645207892913692687854894791734560422021862141565962487404271502757291696\ 332426767306714073] ---------------------------- (A,B)= , {4}, {1, 2, 3, 5} [P^2*x^11-5*P^2*x^9+P^2*x^8+5*P^2*x^7+8*P^2*x^6-2*P*x^7-11*P^2*x^5-2*P*x^6-P^2* x^4+9*P*x^5+7*P^2*x^2-2*P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (C *x^2+x-1)/((x^6-x^5-x^4-x^3+x^2)*C+x^5-x^4+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559 *n+456)*a(n-1)+(-561*n^2+4713*n-6912)*a(n-2)+(1976*n^2-19834*n+40368)*a(n-3)+(-\ 3803*n^2+44509*n-114096)*a(n-4)+(3717*n^2-49683*n+152256)*a(n-5)+(-1692*n^2+ 21336*n-65784)*a(n-6)+(2437*n^2-20963*n+27144)*a(n-7)+(-5909*n^2+73519*n-210000 )*a(n-8)+(4607*n^2-71155*n+265704)*a(n-9)+(62*n^2+1736*n-28128)*a(n-10)+(439*n^ 2-1325*n-1872)*a(n-11)+(-2708*n^2+41146*n-158016)*a(n-12)+(1012*n^2-19316*n+ 91248)*a(n-13)+(430*n^2-2948*n-17472)*a(n-14)+(28*n^2-3512*n+36792)*a(n-15)+(-\ 86*n^2+1174*n-768)*a(n-16)+(46*n^2-1418*n+10752)*a(n-17)+(-88*n^2+2876*n-23040) *a(n-18)-6*(n-13)*(n-16)*a(n-19)+12*(n-16)*(2*n-29)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 14, a(6) = 28, a(7) = 57, a(8) = 120, a(9) = 259, a(10) = 578, a(11) = 1342, a(12) = 3261, a(13) = 8342, a(14) = 22533, a(15 ) = 64237, a(16) = 192505, a(17) = 602552, a(18) = 1955394, a(19) = 6532493, a( 20) = 22329475}, [1, 2, 4, 7, 14, 28, 57, 120, 259, 578, 1342, 3261, 8342, 22533, 64237, 192505, 602552, 1955394, 6532493, 22329475, 77715700, 274369921, 979788548, 3531643317, 12828600390, 46904556636, 172456384146, 637168097833, 2364203908962, 8805721755039, 32909617032932, 123371484403663, 463787088078846, 1747951598025942, 6603222209562373, 24998759127125875, 94830218811423728, 360394777492190622, 1372012503678073206, 5231613585699324687, 19978661195812776344, 76402868339607430524, 292569250326230775099, 1121734031417904656708, 4305887528882729647085, 16546988790148726119716, 63655068247393990633710, 245121262768857713764278, 944802527859742975220050, 3644961071039727712324826], 288934734852436277888416025442531816347024789909838\ 6327500164320121691897973608776135769138969763586392836911565454205074417667132\ 7419545331185224761553700393458094098702761238789205669961720554081468831513695\ 8125809599268497632055801000272988950943249888741197955484363738312045846079499\ 7738541937303598946437900025795055084151959182916289919508263434767239204012038\ 8621196086459790146698795473655931590120580976972241370669514272103486523448729\ 5014192165761130907787704783572473726005904722782057741703861582153106023017587\ 1392216904812259228730437800661730680871296170114905011317716041970494] ---------------------------- (A,B)= , {4}, {1, 2, 4, 5} [P^2*x^9+4*P^2*x^8-9*P^2*x^6+2*P*x^7-4*P^2*x^5+6*P*x^6+8*P^2*x^4-P*x^5+6*P^2*x^ 3-10*P*x^4+x^5-4*P^2*x^2-4*P*x^3+2*x^4-2*P^2*x+8*P*x^2+P^2+2*P*x-3*x^2-2*P+1, ( -C*x^3-x^2+1)/((x^5+x^4-x^3)*C+x^4-2*x^2-x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-6 )*a(n-1)+(182*n^2-1630*n+2352)*a(n-2)+(30*n^2+66*n-144)*a(n-3)+(-1003*n^2+11099 *n-27672)*a(n-4)+(668*n^2-9820*n+31176)*a(n-5)+(2317*n^2-30305*n+96480)*a(n-6)+ (-1644*n^2+28296*n-114312)*a(n-7)+(-3428*n^2+49924*n-180384)*a(n-8)+(1541*n^2-\ 30949*n+149424)*a(n-9)+(3385*n^2-54293*n+214320)*a(n-10)+(-636*n^2+15612*n-\ 91224)*a(n-11)+(-1810*n^2+31274*n-128448)*a(n-12)+(125*n^2-5557*n+47688)*a(n-13 )+(332*n^2-5692*n+20040)*a(n-14)+(-142*n^2+5162*n-43536)*a(n-15)+(28*n^2-764*n+ 5232)*a(n-16)+(106*n^2-3194*n+24048)*a(n-17)+12*(n-16)*(2*n-29)*a(n-18) = 0, a( 1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 14, a(6) = 27, a(7) = 53, a(8) = 106, a(9) = 214, a(10) = 442, a(11) = 938, a(12) = 2067, a(13) = 4789, a(14) = 11800, a(15) = 31167, a(16) = 88313, a(17) = 266716, a(18) = 849071}, [1, 2, 4, 7, 14, 27, 53, 106, 214, 442, 938, 2067, 4789, 11800, 31167, 88313, 266716, 849071, 2814799, 9615184, 33568787, 119084310, 427539322, 1549236806, 5655476684, 20771259404, 76681305208, 284344097663, 1058502570702, 3954082904863, 14816762552518, 55678483660046, 209768387445356, 792169789374719 , 2998065701077344, 11369398606451343, 43196076663860184, 164401365177643806, 626715623687036793, 2392733361611096871, 9148203342202957866, 35023364299735944093, 134253806851834219229, 515241845864732452776, 1979625698685104081914, 7614062679682674483529, 29314821239159439564434, 112972662006960365858008, 435766972606461976933796, 1682329721708325938801230], 1369682082550037619909389375123396772045089626508188461758446156358675854234059\ 5174774519831216543326689564311445121450852563752700142258337460068983711554013\ 8960278589359839674730538295406184378562440341262583066915382011698547687370244\ 8131469809874973447281911160353753752704024758176699906060074416678133398430259\ 7419228593530190087827468217404229609607845238675700631838457886150009823733905\ 8555526563231162399235626799276144826700052427892038637909011027627659267379852\ 2901425257369701430461492120258929332772482976877293847039463670797831631878535\ 970170840967850115730823016300318010010353] ---------------------------- (A,B)= , {4}, {1, 3, 4, 5} [P^2*x^9-3*P^2*x^7+2*P*x^8+2*P^2*x^6+2*P*x^7-6*P^2*x^5-4*P*x^6+x^7+9*P^2*x^4+3* P*x^5+2*x^6-3*P^2*x^3-12*P*x^4+4*P^2*x^2+6*P*x^3+3*x^4-4*P^2*x-4*P*x^2-3*x^3+P^ 2+6*P*x+x^2-2*P-2*x+1, (-C*x^4-x^3-x+1)/((x^5-x^4)*C+x^4-x^3-2*x+1), {5*n*(n-5) *a(n)+(-74*n^2+502*n-408)*a(n-1)+(432*n^2-3660*n+5352)*a(n-2)+(-1289*n^2+12967* n-26304)*a(n-3)+(2259*n^2-25863*n+65616)*a(n-4)+(-3068*n^2+37792*n-111072)*a(n-\ 5)+(4473*n^2-57993*n+186156)*a(n-6)+(-5579*n^2+77989*n-271440)*a(n-7)+(4831*n-\ 33447)*(n-8)*a(n-8)+(-4100*n^2+65650*n-261612)*a(n-9)+(3415*n^2-61835*n+282300) *a(n-10)+(-1603*n^2+34103*n-183288)*a(n-11)+(455*n^2-11065*n+65640)*a(n-12)+(-\ 199*n^2+5645*n-39060)*a(n-13)+(108*n^2-6732*n+71616)*a(n-14)+(-10*n^2+2588*n-\ 34260)*a(n-15)+(76*n^2-2600*n+21936)*a(n-16)-21*(n-16)*(7*n-115)*a(n-17)+2*(n-\ 12)*(n-11)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4 , a(4) = 8, a(5) = 17, a(6) = 37, a(7) = 81, a(8) = 179, a(9) = 400, a(10) = 905, a(11) = 2080, a(12) = 4880, a(13) = 11759, a(14) = 29309, a(15) = 76112, a (16) = 207154, a(17) = 592706, a(18) = 1781409, a(19) = 5600237}, [1, 2, 4, 8, 17, 37, 81, 179, 400, 905, 2080, 4880, 11759, 29309, 76112, 207154, 592706, 1781409, 5600237, 18294735, 61656457, 212931093, 749320601, 2675254098, 9658587353, 35178592683, 129035541665, 476058265299, 1764932381988, 6570687226196, 24551387911789, 92032511078879, 345986852857475, 1304098223363319, 4927109995501694, 18656034264130959, 70781074402179636, 269042416731818588, 1024407755044151954, 3906812182925368667, 14921903034760800598, 57073813028766733291, 218586567410179793365, 838205057580625337249, 3218004172988606203316, 12368139124913498696044, 47585844931622849062357, 183266533219234819542647, 706477984010943041108118, 2725862658152442803397494], 217331247352649416304688868822266835831710197465897\ 5727539992059825227865544700949036275018748925928986997992987341726777935073422\ 1136378625313012511779457613714092882163703387191766178566070128075802081970115\ 8903841550836943494822823811204991207959630268803616005740792954070965034181758\ 0968833121216770682231676340376948969254318441535061288137483384930216324795816\ 3385401182690953556617900737471831801917928259493990799244212824561756286488982\ 7334078720117675900458242455499062591197665738379529218776855372075268752529168\ 1806843022902912849910155103490220830598449919392115546611415586503628] ---------------------------- (A,B)= , {4}, {2, 3, 4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9-4*P*x^8+x^9+3*P^2*x^6+2*x^8+6*P^2*x^5-6*P*x^6-2*P^2* x^4-9*P*x^5+3*x^6+4*P^2*x^3+4*P*x^4+3*x^5+2*P^2*x^2-6*P*x^3-2*x^4-4*P^2*x+2*x^3 +P^2+6*P*x-x^2-2*P-2*x+1, (C*x^5+x^4+x^2+x-1)/(C*x^5+x^4+x^2+2*x-1), {-5*n*(n-5 )*a(n)+(74*n^2-502*n+408)*a(n-1)+(-416*n^2+3544*n-5184)*a(n-2)+(1058*n^2-10864* n+22080)*a(n-3)+(-938*n^2+11662*n-30024)*a(n-4)+(-842*n^2+9538*n-27552)*a(n-5)+ (2261*n^2-30145*n+100032)*a(n-6)+(-1748*n^2+23458*n-80040)*a(n-7)+(374*n^2-6502 *n+29352)*a(n-8)+(1321*n^2-17327*n+47184)*a(n-9)+(-1064*n^2+15916*n-50808)*a(n-\ 10)+(174*n^2-2310*n+1536)*a(n-11)+(-166*n^2+11132*n-110112)*a(n-12)+(186*n^2-\ 9900*n+100632)*a(n-13)+(-46*n^2+86*n+8616)*a(n-14)+(20*n^2-748*n+6864)*a(n-15)+ (492*n^2-17562*n+155208)*a(n-16)+2*(n-17)*(59*n-1236)*a(n-17)+12*(5*n-82)*(n-18 )*a(n-18)+18*(9*n-148)*(n-19)*a(n-19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 30, a(6) = 75, a(7) = 188, a(8) = 472, a( 9) = 1188, a(10) = 2999, a(11) = 7598, a(12) = 19336, a(13) = 49489, a(14) = 127596, a(15) = 332111, a(16) = 875047, a(17) = 2341688, a(18) = 6389290, a(19) = 17848480, a(20) = 51251398}, [1, 2, 5, 12, 30, 75, 188, 472, 1188, 2999, 7598 , 19336, 49489, 127596, 332111, 875047, 2341688, 6389290, 17848480, 51251398, 151764764, 464318640, 1467928568, 4787818477, 16062322679, 55215234144, 193703849084, 690872959322, 2496921984060, 9119643443323, 33587713518827, 124534065880760, 464246395829199, 1738373192543681, 6533630109137878, 24634382440790519, 93136253352828420, 352972722573828510, 1340584971043783330, 5101362676569735764, 19446487663679324552, 74249967588190545234, 283921367856921622043, 1087177943347759367998, 4168346676520070284531, 16001190229699663473200, 61494243708534374589622, 236582172047027568346382, 911106786308707113084261, 3512148766047028077094032], 2717806343695576794362937\ 8030528811459585323461198015676814510462724775537737641714603479741878533747201\ 4104389928773507863509955416280592725034880080203278418729328644974768532413962\ 1580163114091020319017024560323455823112559262630462524323332479118251201243933\ 0854837733123043666326968621802487670340436699235918787958567746123306149716818\ 0117539330121944486203283079426457109116459434220460124272199845650163991503183\ 1716321076683180417737121315159552538889213381128153678148793045769919305132204\ 8357218180040972540498500705598625570372055011365626618088956488451788397660274\ 25248858882690909] ---------------------------- (A,B)= , {4}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^8+3*P^2*x^7+4*P^2*x^6-P^2*x^5+3*P^2*x^4+3*P*x^5-P^ 2*x^2+2*P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^6+x^5+x^3+x^2+x-1), {-5* n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-206*n^2+1804*n-2604)*a(n-2)+(240*n^2-\ 2550*n+5112)*a(n-3)+(46*n^2-488*n+1068)*a(n-4)+(59*n^2-49*n-1200)*a(n-5)+(-544* n^2+6020*n-15384)*a(n-6)+(410*n^2-3868*n+6852)*a(n-7)+(-308*n^2+3052*n-5604)*a( n-8)+(43*n^2-1235*n+7116)*a(n-9)+(-120*n^2+414*n+1968)*a(n-10)+(544*n^2-8030*n+ 30300)*a(n-11)+(18*n^2-1404*n+9096)*a(n-12)+(136*n^2-3200*n+17040)*a(n-13)+(151 *n^2-2405*n+9708)*a(n-14)+(154*n^2-2936*n+14136)*a(n-15)+(34*n^2-602*n+2568)*a( n-16)+3*(n-12)*(7*n-89)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 14, a(6) = 27, a(7) = 52, a(8) = 102, a(9) = 201, a(10) = 403, a(11) = 828, a(12) = 1761, a(13) = 3937, a(14) = 9394, a(15) = 24205, a(16) = 67556, a(17) = 202798, a(18) = 645926}, [1, 2, 4, 7, 14, 27, 52, 102, 201, 403, 828, 1761, 3937, 9394, 24205, 67556, 202798, 645926, 2150310, 7386846, 25939137, 92512439, 333707691, 1214138802, 4447612704, 16383791041, 60640010004, 225366143619, 840608079544, 3145630550012, 11805786086634, 44426365991882, 167589796712317, 633622329633478, 2400574384777496, 9112466629327439, 34652481134467961, 131995145496948734, 503569839490522006, 1923964371448692612, 7360906409400261399, 28198589505574677585, 108156646718657138484, 415316712195304939714, 1596537030973535200138, 6143659776363143062412, 23664699178988005768304, 91238746943239366939800, 352080933680382759284270, 1359791607542849381494989], 1123688125378254250495650\ 2285959677668052732324973449266418477137821121902091140791143661467670687254774\ 1503720649313817719239507135915474656396402765467016593476812807256126291764579\ 8921860542342969175967607613028443135689570017380687100334243801382451884417715\ 8911878407718524357432485709565034087066840751988981105146619795093018391596312\ 0501426494526006303033084526510209002666350879413415629326805107759453630762347\ 9544793822830343177587184712265651088236510308322682659126147998683892821614967\ 3507701124553193316904342496557769273612739102695593127168600905001125074087550\ 91851180539243905] ---------------------------- (A,B)= , {5}, {} [P^2*x^5-9*P^2*x^3+2*P*x^4+15*P^2*x^2+5*P*x^3-7*P^2*x-20*P*x^2+x^3+P^2+12*P*x+6 *x^2-2*P-5*x+1, ((-2*x^2+x)*C+x^2+2*x-1)/((x^3-3*x^2+x)*C-x^3+3*x-1), {3*n*(n-3 )*a(n)+(-59*n^2+273*n-208)*a(n-1)+(485*n^2-3015*n+4000)*a(n-2)+(-2155*n^2+16761 *n-30368)*a(n-3)+(5578*n^2-51990*n+117248)*a(n-4)+(-8411*n^2+91323*n-244240)*a( n-5)+(6902*n^2-85860*n+265096)*a(n-6)+(-2486*n^2+36132*n-129880)*a(n-7)+(14*n^2 -2568*n+18088)*a(n-8)+(174*n^2-1926*n+4296)*a(n-9)-2*(n-8)*(13*n-112)*a(n-10)+4 *(2*n-19)*(n-10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 41, a(6) = 123, a(7) = 375, a(8) = 1158, a(9) = 3616, a(10) = 11408, a(11) = 36344}, [1, 2, 5, 14, 41, 123, 375, 1158, 3616, 11408, 36344, 116887, 379425, 1242946, 4108608, 13702559, 46101320, 156443342, 535358524, 1847020480, 6422697809, 22503341559, 79416927946, 282201414414, 1009305302279, 3631928117088, 13144286287248, 47825317194305, 174880024092245, 642437035086245 , 2370188361767701, 8779286888373549, 32638533007332596, 121752229459634305, 455603392106953800, 1709850976435435886, 6434232862104322508, 24272601426303701634, 91777909105927663749, 347768633099630523997, 1320406161293418332928, 5022614444437721823174, 19138279159863124583027, 73042742037287374175002, 279194686821542514498198, 1068690213380866135735911, 4096126734439159230090951, 15719447962188138773586787, 60396521751197338884445161, 232310207460223354533681003], 169597392975539881791\ 3473977027133051778485561232859398229345134390826319365730865835559466461255831\ 2472959465687342034605208590677975072054416431060932393961364103634536683101436\ 5277446107240669709439425105823327900710747698489970098637777463138161516035520\ 8440639319526219481289982707673418357497693618540806578186580240870492025844736\ 5688322916117243192585018061558946876273289712037019866826255893773902707375876\ 0497628244890647107317941386686825251005190400747605044444965530963311720831768\ 1497309229663431704159644365664418383073861235067791332384245692897827290819087\ 63774889349348844443056] ---------------------------- (A,B)= , {5}, {1} [P^2*x^5-2*P^2*x^4-P^2*x^3+2*P*x^4+7*P^2*x^2-P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P* x+2*x^2-2*P-3*x+1, ((x^2-x)*C-x^2-x+1)/((2*x^2-x)*C+x^3-x^2-2*x+1), {3*n*(n-3)* a(n)+(-49*n^2+231*n-176)*a(n-1)+(323*n^2-2049*n+2728)*a(n-2)+(-1101*n^2+8727*n-\ 15912)*a(n-3)+(2048*n^2-19536*n+44632)*a(n-4)+(-1943*n^2+22143*n-61336)*a(n-5)+ (592*n^2-9246*n+33368)*a(n-6)+(382*n^2-3000*n+3488)*a(n-7)+(-334*n^2+3600*n-\ 8600)*a(n-8)+(92*n^2-1212*n+3880)*a(n-9)-6*(3*n-28)*(n-10)*a(n-10)+4*(2*n-19)*( n-10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51 , a(7) = 128, a(8) = 332, a(9) = 890, a(10) = 2467, a(11) = 7071}, [1, 2, 4, 9, 21, 51, 128, 332, 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893, 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794, 15089579257931496563545286, 58295663546246877594396887], 4892069779579009411274\ 7017139328164654828763677680843602982257701455229505830004642802083317053346472\ 8927937577927648117368130058291771977686995588058038819207141347200917796949999\ 1721736098316703435056050693852383893132782659283939836242431460603596779379868\ 8357431316374277498718821819641893253386419900903916960970536472034361793943412\ 8149516439455922850762588236882112440889999928022631320191642665258125826217240\ 7360594395740783911211471870129555416229195900067034370608212234783745538953642\ 3960953677180616419353312387343263834447436139849821991238229034559503347731519\ 074517996563210755566] ---------------------------- (A,B)= , {5}, {2} [P^2*x^5+2*P^2*x^4-2*P*x^5+6*P^2*x^3-4*P*x^4+x^5+P^2*x^2-9*P*x^3+2*x^4-4*P^2*x+ 2*P*x^2+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^3+x^2-x)*C-x^3-x^2-x+1)/((x^3+2*x^ 2-x)*C-x^3-x^2-2*x+1), {-3*n*(n-3)*a(n)+(44*n^2-210*n+160)*a(n-1)+(-240*n^2+ 1566*n-2100)*a(n-2)+(560*n^2-4710*n+8800)*a(n-3)+(-328*n^2+3930*n-10004)*a(n-4) +(-669*n^2+6399*n-15576)*a(n-5)+(695*n^2-8895*n+28456)*a(n-6)+(291*n^2-4023*n+ 13740)*a(n-7)+(-190*n^2+4578*n-24704)*a(n-8)+(-21*n^2+315*n-912)*a(n-9)+(102*n^ 2-2538*n+15216)*a(n-10)+10*(n-11)*(5*n-56)*a(n-11)+12*(n-12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 241, a (8) = 653, a(9) = 1792, a(10) = 4987, a(11) = 14095, a(12) = 40524}, [1, 2, 5, 13, 34, 90, 241, 653, 1792, 4987, 14095, 40524, 118704, 354752, 1082769, 3376969, 10761563, 35018901, 116226782, 392839812, 1349763755, 4705693851, 16615763502, 59320991641, 213807939654, 776937598146, 2843138895879, 10467416747986, 38739912037692, 144033067963714, 537658194855348, 2014130218590035, 7568959247550506, 28523938056607085, 107767298248890123, 408099645698663151, 1548671737904672034, 5888310723215650335, 22428200241118864331, 85568291610046011852, 326960463062885016212, 1251112928797451595706, 4793762162991167716893, 18390735203605190395379, 70636930452546966380131, 271609657219882324575403, 1045472129155656754180415, 4028182163710258038445860, 15535051840334630402248686, 59965664889335184819981777], 48970050131587318873885358675123695751527307771028\ 1469130861896436814833911405753844841125201512211746367098041525546470940231535\ 1367135290066945757199255438944449963269286482031104491465282710778479591878762\ 8135544193548547768284189678026654561355675454374229369964670016656969361013432\ 4726127486324718979534438612210774087335096871341872078736367403766301289241881\ 0636877670657116892105273389049462022828522906615075331747146532094168606352685\ 7336170735622215761174308017632913284593728260501885210724156921456888221517281\ 661820059628426709800368176505861354175689644438071984759051084919923992] ---------------------------- (A,B)= , {5}, {3} [4*P^2*x^5-13*P^2*x^4+4*P^2*x^3+12*P*x^4+18*P^2*x^2-17*P*x^3-12*P^2*x-20*P*x^2+ 9*x^3+2*P^2+20*P*x+4*x^2-4*P-8*x+2, ((-2*x^2+x)*C+3*x^2+x-1)/((x^3-3*x^2+x)*C-2 *x^3+3*x^2+2*x-1), {12*n*(n-3)*a(n)+(-216*n^2+1008*n-768)*a(n-1)+(1576*n^2-9936 *n+13232)*a(n-2)+(-5896*n^2+46896*n-85856)*a(n-3)+(11528*n^2-112152*n+259648)*a (n-4)+(-9516*n^2+117060*n-340704)*a(n-5)+(-2380*n^2+3432*n+56056)*a(n-6)+(8624* n^2-89388*n+216640)*a(n-7)+(-3985*n^2+42447*n-96584)*a(n-8)+(692*n^2-9414*n+ 32560)*a(n-9)+(-496*n^2+10128*n-51152)*a(n-10)+96*(2*n-19)*(n-10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 40, a(6) = 116, a(7) = 339, a(8 ) = 998, a(9) = 2958, a(10) = 8828, a(11) = 26536}, [1, 2, 5, 14, 40, 116, 339, 998, 2958, 8828, 26536, 80372, 245414, 755928, 2350319, 7381086, 23427686, 75195628, 244175062, 802389604, 2668710992, 8983144952, 30596069818, 105399934868, 367043666692, 1291264748728, 4585833593142, 16428390997584, 59321271314258, 215743251790432, 789703451235071, 2907375748841214, 10759289518223974, 40001130312358220, 149332328661511678, 559550788024919988, 2103600205148093344, 7931940270410002680, 29988938823206096106, 113657284753019549140, 431709080488166062468, 1643078385246280421768, 6265050925253156389640, 23929039917712543348600, 91538378157990281116076, 350677614137099196375952, 1345225615411453193033302, 5166837126329969394114732, 19868337296232675011820924, 76484530500945170047061048], 5764038068134303069491\ 8639078470158099918015071094057513984844659719921378223199793076607719749401211\ 4304428569925444202468038791290998806705366765620694477246423580539032301199878\ 3685584244021227196797303188835709587841322992438300267451931275780127087170803\ 8236924895995373505868983794067034828233925170052897198848912208146133958417219\ 8568376639378921498557992319614142135918894554394190019902621189272260549418118\ 5051636063562381066999313158789597331226318790105316961052362085039923046896686\ 2282875391492446730918779730438976866009741179579908581517811729175949529181973\ 798776433446336869568] ---------------------------- (A,B)= , {5}, {4} [4*P^2*x^6-16*P^2*x^5-4*P*x^6+38*P^2*x^4+16*P*x^5+x^6-47*P^2*x^3-41*P*x^4-4*x^5 +30*P^2*x^2+60*P*x^3+11*x^4-9*P^2*x-46*P*x^2-18*x^3+P^2+16*P*x+17*x^2-2*P-7*x+1 , ((x^3-x^2)*C-x^3+2*x^2-3*x+1)/((2*x^3-x^2)*C-2*x^3+4*x^2-4*x+1), {-4*n*(n-4)* a(n)+(94*n^2-526*n+420)*a(n-1)+(-968*n^2+6926*n-9756)*a(n-2)+(5754*n^2-49932*n+ 96264)*a(n-3)+(-21906*n^2+222594*n-532500)*a(n-4)+(56083*n^2-650455*n+1831962)* a(n-5)+(-98745*n^2+1281045*n-4105638)*a(n-6)+(120190*n^2-1713424*n+6088008)*a(n -7)+(-99811*n^2+1533637*n-5886102)*a(n-8)+(53774*n^2-862232*n+3421080)*a(n-9)+( -15420*n^2+228960*n-759024)*a(n-10)+(-948*n^2+53460*n-470424)*a(n-11)+(2848*n^2 -74152*n+479568)*a(n-12)-16*(71*n-894)*(n-13)*a(n-13)+96*(n-14)*(2*n-25)*a(n-14 ) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 41, a(6) = 123, a(7) = 375, a(8) = 1157, a(9) = 3604, a(10) = 11319, a(11) = 35816, a(12) = 114133, a( 13) = 366200, a(14) = 1182938}, [1, 2, 5, 14, 41, 123, 375, 1157, 3604, 11319, 35816, 114133, 366200, 1182938, 3847169, 12597293, 41533929, 137897438, 461076069, 1552676807, 5266225159, 17989993302, 61895966247, 214467651512, 748305650406, 2628727138763, 9295565196201, 33080302514939, 118444130261382, 426564996054621, 1544737562087360, 5623258489365050, 20570727937503901, 75597019415387655, 279010708172130247, 1033880358602760205, 3845301483617545540 , 14351093884235339755, 53730983834426389484, 201765822833896899890, 759728687944690748239, 2867938285730498562693, 10851770379719018066825, 41150648648812445365162, 156361592007457787244321, 595248935899198990508754, 2269998402665733200841792, 8670797774848939815399567, 33170490801102538698632915, 127075250057175875513643005], 833989208537242953325\ 8397616370838218170764495268702942143243193931660338013922429275232067236324988\ 5587022985166731466382453081969126745684240570943044431146778014664030076268639\ 6664000807999963773784526529583538918831387013774554380300448586945330882784643\ 9525271730201189820739448496334034055341798930113563439690078541670317521861748\ 7223746330336964469126729191623272259268405605750759517165294331439346651349491\ 4852458095830456768533291014998361851326030904396625654423226494111877887264525\ 5508568696385265818035983955911395955209884191296423637430011680452898093212593\ 2574924802003578187970] ---------------------------- (A,B)= , {5}, {5} [P^2*x^7-6*P^2*x^6+8*P^2*x^5+4*P*x^6+16*P^2*x^4-13*P*x^5-39*P^2*x^3-8*P*x^4+4*x ^5+29*P^2*x^2+46*P*x^3-x^4-9*P^2*x-44*P*x^2-12*x^3+P^2+16*P*x+16*x^2-2*P-7*x+1, ((-2*x^3+x^2)*C-x^2+3*x-1)/((x^4-3*x^3+x^2)*C-3*x^2+4*x-1), {5*n*(n-5)*a(n)+(-\ 119*n^2+787*n-648)*a(n-1)+(1237*n^2-10145*n+14952)*a(n-2)+(-7369*n^2+71987*n-\ 146424)*a(n-3)+(27716*n^2-313846*n+797280)*a(n-4)+(-68194*n^2+878264*n-2646120) *a(n-5)+(109335*n^2-1581759*n+5485308)*a(n-6)+(-108162*n^2+1751526*n-6886884)*a (n-7)+(53779*n^2-1002671*n+4528836)*a(n-8)+(3131*n^2+26573*n-462708)*a(n-9)+(-\ 18510*n^2+309630*n-1269192)*a(n-10)+(8106*n^2-145614*n+637320)*a(n-11)+(-894*n^ 2+13830*n-42744)*a(n-12)+(-27*n^2+513*n-1788)*a(n-13)+(-56*n^2+1666*n-12216)*a( n-14)+8*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a (5) = 41, a(6) = 123, a(7) = 374, a(8) = 1147, a(9) = 3539, a(10) = 10971, a(11 ) = 34147, a(12) = 106670, a(13) = 334386, a(14) = 1051867, a(15) = 3320568}, [ 1, 2, 5, 14, 41, 123, 374, 1147, 3539, 10971, 34147, 106670, 334386, 1051867, 3320568, 10521210, 33466392, 106893515, 342941979, 1105502516, 3581986772, 11670182151, 38246323243, 126133068226, 418753556945, 1400005025373, 4714931793806, 15999451121506, 54713979976756, 188582424597473, 655124381561083 , 2293712297189415, 8092522016788098, 28764891506794058, 102979541808312151, 371193756494698581, 1346624614034074158, 4914867492520196355, 18039055878215296675, 66553209998972900452, 246715955708547763272, 918596795247536924548, 3433899155900615474763, 12883420249679136253323, 48496845608826517537269, 183106621195630851320724, 693240958101695036005920, 2631156964471804833597759, 10009104507533274796678229, 38154272002017704533703409], 23150994639397769228012262055289813223019369843492\ 7778731127167483088613727230617505401205294436596366980307043853834930291443493\ 1779278020408316441714416782606186763213542783386723219631039987289588079422503\ 0763272649586823375866123443789566749939605859876237677954165412518549294956015\ 0363299651340066198517850056747999946741669505264950917764707489282318569601291\ 4990306099098795039888033474171091823480557412066524201691224153177205950386765\ 0191492257600897209887160044042822497928933680529412921452357878161163359197832\ 605270290059663590467942816721677590812465823491128334946490365631316281] ---------------------------- (A,B)= , {5}, {1, 2} [P^2*x^7+2*P^2*x^6+3*P^2*x^5+4*P^2*x^4-P^2*x^3-P^2*x^2+3*P*x^3-2*P^2*x+2*P*x^2+ P^2+2*P*x-2*P+1, (-C*x+1)/((x^4+x^3+x^2-x)*C-x^4-x^3-x^2-x+1), {-3*n*(n-3)*a(n) +2*(17*n-16)*(n-4)*a(n-1)+(-126*n^2+852*n-1140)*a(n-2)+(151*n^2-1287*n+2360)*a( n-3)+(-6*n^2-42*n+228)*a(n-4)+(116*n^2-468*n-332)*a(n-5)+(-289*n^2+2793*n-6416) *a(n-6)+(-79*n^2+645*n-1244)*a(n-7)+(44*n^2-864*n+3352)*a(n-8)+(98*n^2-1680*n+ 6556)*a(n-9)+(108*n^2-1458*n+4992)*a(n-10)+(45*n^2-675*n+2544)*a(n-11)+6*(n-8)* (2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 154, a(9) = 355, a(10) = 866, a(11) = 2251, a(12) = 6245} , [1, 2, 4, 8, 16, 33, 70, 154, 355, 866, 2251, 6245, 18414, 57213, 185405, 620629, 2129017, 7439673, 26367505, 94489799, 341625588, 1244174774, 4559060423 , 16793971554, 62147298893, 230913270440, 861080917988, 3221443510012, 12087494204050, 45476623926282, 171517584430018, 648354248106943, 2455977538768902, 9321340465911779, 35441752116509282, 134983876626973003, 514909491556427422, 1967067133445470167, 7525021790792224809, 28824459171118788381, 110547017150291455062, 424458971535679006492, 1631548699699498919233, 6277908484546161213133, 24180064675135846380835, 93219365568695176660551, 359700693295280978180857, 1389135191429884881412863, 5369066755275877444913157, 20767693084841114072336146], 18270849281318470214912\ 8617620910305766649583568010129264062424711012493441657007072129210899532853729\ 9928586324356669371751212989005174435890328672863062373682801309547034329605434\ 6882643585921835448672818764532050416309586232173179645270510734882714184238041\ 4492076303036505471504614022345382617648054402675470887885743221261902107344045\ 3798355488856931160827379852931504384044312900178074120869467929960755868706315\ 5108915596657885556670434979579782375863607251667976276196317498584505396406555\ 2044449039081984140349692306583029156305443084908481269474547197759478855222629\ 92406778996616227557] ---------------------------- (A,B)= , {5}, {1, 3} [P^2*x^5-6*P^2*x^4+9*P^2*x^3+4*P*x^4+5*P^2*x^2-13*P*x^3-8*P^2*x-2*P*x^2+4*x^3+2 *P^2+12*P*x-x^2-4*P-4*x+2, ((x^2-x)*C-2*x^2+1)/((2*x^2-x)*C+x^3-3*x^2-x+1), {12 *n*(n-3)*a(n)+(-176*n^2+840*n-640)*a(n-1)+(984*n^2-6372*n+8520)*a(n-2)+(-2534*n ^2+20838*n-38560)*a(n-3)+(2519*n^2-26895*n+65428)*a(n-4)+(1105*n^2-4713*n-2428) *a(n-5)+(-3863*n^2+38361*n-93256)*a(n-6)+(1910*n^2-19758*n+47716)*a(n-7)+(112*n ^2-3858*n+22304)*a(n-8)+(-83*n^2+957*n-1888)*a(n-9)+(-56*n^2+1218*n-6448)*a(n-\ 10)+8*(2*n-19)*(n-10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 46, a(7) = 107, a(8) = 255, a(9) = 622, a(10) = 1563, a(11) = 4062 }, [1, 2, 4, 9, 20, 46, 107, 255, 622, 1563, 4062, 10968, 30853, 90489, 276265, 874878, 2860174, 9603569, 32957863, 115117083, 407823092, 1461389247, 5285675784, 19264958632, 70668437701, 260647351211, 965882136301, 3594006309188 , 13421752850063, 50285810384786, 188949929213940, 711860356803105, 2688369821167312, 10175193516974234, 38590502811427565, 146634501802348215, 558150623845661833, 2128012394940557180, 8125644421166953379, 31071376336942499926, 118971875300566791520, 456115553731061817383, 1750736946087607522807, 6727500289108715063429, 25878978032978241460082, 99649920831242068365133, 384079379605473419514976, 1481694507386167108549606, 5720987047783399981243277, 22107529343687375545170219], 18738991360123070823721\ 9018256915760019707606159655280927120678155993716521077695690247668263138456533\ 4800672056771575793777861047960369447396787339033718670294693558507739369372471\ 8015584816066016727895689012519896364845892699498053120057508733957389690469147\ 6398841376883663890676597571701525653886679101340368645216132477033140003630482\ 8886312884682573335932589131433941358291056715646751197945807700223221764152866\ 5393199745128710078495661709746830900069098794525069765950653967285190280880808\ 2789626900707425742072212987825651109634709846759641825174660305504361191969736\ 06174245208183247845] ---------------------------- (A,B)= , {5}, {1, 4} [P^2*x^8-3*P^2*x^6+8*P^2*x^5+2*P*x^6-P^2*x^4-4*P*x^5-15*P^2*x^3+P*x^4+17*P^2*x^ 2+16*P*x^3+x^4-7*P^2*x-24*P*x^2-4*x^3+P^2+12*P*x+8*x^2-2*P-5*x+1, (-C*x^2+x^2-2 *x+1)/((x^4+x^3-x^2)*C-x^4+2*x^2-3*x+1), {4*n*(n-4)*a(n)+(-80*n^2+452*n-360)*a( n-1)+(684*n^2-4956*n+6984)*a(n-2)+(-3268*n^2+28780*n-55704)*a(n-3)+(9540*n^2-\ 98868*n+238824)*a(n-4)+(-17329*n^2+207559*n-597282)*a(n-5)+(18601*n^2-257539*n+ 867738)*a(n-6)+(-9049*n^2+156451*n-644442)*a(n-7)+(-2493*n^2+8187*n+84198)*a(n-\ 8)+(5473*n^2-68671*n+184290)*a(n-9)+(-2124*n^2+27996*n-66744)*a(n-10)+(-231*n^2 +3609*n-23934)*a(n-11)+(266*n^2-1202*n-12324)*a(n-12)+(89*n^2-3851*n+31626)*a(n -13)-2*(31*n-382)*(n-15)*a(n-14)+(-30*n^2+714*n-4236)*a(n-15)+12*(n-14)*(2*n-25 )*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a( 7) = 128, a(8) = 331, a(9) = 880, a(10) = 2403, a(11) = 6737, a(12) = 19388, a( 13) = 57257, a(14) = 173425, a(15) = 538247, a(16) = 1709515}, [1, 2, 4, 9, 21, 51, 128, 331, 880, 2403, 6737, 19388, 57257, 173425, 538247, 1709515, 5547277, 18356919, 61827770, 211535193, 733814357, 2576597381, 9143080195, 32744158708, 118211297622, 429763186448, 1572065106270, 5781828426352, 21366997576104, 79300551464461, 295439131352248, 1104464912104291, 4141755729645572, 15575496081629382, 58724148998346221, 221929653271887880, 840534532862110215, 3189811534229427188, 12127732530581061258, 46189393604624023064, 176198401609744381640, 673151661008006520352, 2575335686253091830122, 9865688000821065416544, 37840737212673119988521, 145311361177597697533485, 558623335422448959887906, 2149771013433379738948172, 8281235970972242138398012, 31930521829669889805594067], 24901335632149455175400929248083341869477265265396\ 1259000689953018878457426016756833302679166787030143411722458391129643395071852\ 8936309925528888710766011208583415380322244662387205574621699820220978353030125\ 9285444266096344168297948438501131366383313514653720247011350525059374006343072\ 8777334944082225014355385389740376573109722496452797952697136200002571144967398\ 7904674757302838095983642173398453768198840732797208320468031607219687424363180\ 8493761410341444738494325027428574861891083073169820814942246833138812142040464\ 738044841284262873603228099534073583849180671196930430027780302558167557] ---------------------------- (A,B)= , {5}, {1, 5} [P^2*x^6+8*P^2*x^5-8*P^2*x^4-5*P*x^5-10*P^2*x^3+10*P*x^4+x^5+16*P^2*x^2+8*P*x^3 -2*x^4-7*P^2*x-22*P*x^2-x^3+P^2+12*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x+1)/((2 *x^3-x^2)*C+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+(867*n^ 2-7185*n+10572)*a(n-2)+(-4107*n^2+40629*n-82740)*a(n-3)+(11585*n^2-133429*n+ 340968)*a(n-4)+(-19189*n^2+254357*n-778848)*a(n-5)+(15710*n^2-244288*n+889596)* a(n-6)+(647*n^2+18437*n-161772)*a(n-7)+(-11987*n^2+183007*n-689316)*a(n-8)+( 7188*n^2-126504*n+551376)*a(n-9)+(603*n^2-11379*n+55056)*a(n-10)+(-1270*n^2+ 27470*n-148440)*a(n-11)+(35*n^2-1225*n+9540)*a(n-12)+10*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a(7) = 127, a(8) = 323, a(9) = 836, a(10) = 2199, a(11) = 5876, a(12) = 15957, a(13) = 44079}, [1, 2, 4, 9, 21, 51, 127, 323, 836, 2199, 5876, 15957, 44079, 124012, 355832, 1042667, 3123363, 9570708, 30001199, 96155803, 314763098, 1050754591, 3570595954, 12327034026, 43153369179, 152902895938, 547446939788, 1977699248923 , 7199872364153, 26385961291553, 97255909086726, 360271175233058, 1340426783057376, 5006466732460601, 18763152277285370, 70535588722173141, 265891976935986804, 1004808055067032012, 3805789829702950516, 14444636763184381791, 54928274066054309597, 209242219970646205698, 798382288914271407836, 3050923073729894779242, 11675255773510615258620, 44738038096788747316665, 171643515907771180312682, 659304073511343242433124, 2535262399537368129283494, 9759158234763288683954452], 719079792812490876672042\ 3116326942575907516122358605052668625337985308106006428120313012156038346597206\ 3351463380538916603750254747179682287661320227669209476827336621650246479653491\ 5883838810980704749744039754700752040369811524365835621301432614616295093361753\ 1968516777660735839130464343000053222112739886035154158066531353436293802529191\ 1822553009461330542549605274416778883271132938744802989496153910284831168781109\ 7571310121399625337285555296732391405227275969826321476740096766192515115423496\ 3447409986149299186675311002135845882453763251409205242650377648760362693048433\ 347261378020418320] ---------------------------- (A,B)= , {5}, {2, 3} [4*P^2*x^5+11*P^2*x^4-8*P*x^5+10*P^2*x^3-18*P*x^4+4*x^5-P^2*x^2-11*P*x^3+7*x^4-\ 7*P^2*x+8*P*x^2+2*x^3+2*P^2+10*P*x-5*x^2-4*P-3*x+2, ((x^3+x^2-x)*C-2*x^3-2*x^2+ 1)/((x^3+2*x^2-x)*C-2*x^3-3*x^2-x+1), {-6*n*(n-3)*a(n)+(83*n^2-399*n+304)*a(n-1 )+(-412*n^2+2721*n-3656)*a(n-2)+(792*n^2-6825*n+12840)*a(n-3)+(-68*n^2+1800*n-\ 5464)*a(n-4)+(-1237*n^2+13866*n-38528)*a(n-5)+(108*n^2-5073*n+26280)*a(n-6)+( 1149*n^2-15858*n+54564)*a(n-7)+(164*n^2+3132*n-36380)*a(n-8)+(-231*n^2+4758*n-\ 23448)*a(n-9)+(388*n^2-9318*n+54644)*a(n-10)+(560*n^2-12432*n+68944)*a(n-11)+96 *(n-12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 33, a(6) = 85, a(7) = 220, a(8) = 573, a(9) = 1504, a(10) = 3983, a(11) = 10662 , a(12) = 28912}, [1, 2, 5, 13, 33, 85, 220, 573, 1504, 3983, 10662, 28912, 79621, 223303, 639597, 1875802, 5644301, 17444781, 55382907, 180423790, 601977949, 2051804634, 7124322288, 25130104131, 89819909643, 324565524811, 1183481195978, 4347855256479, 16073109861038, 59731332492312, 222965440201717, 835472967219565, 3141004736484793, 11843250562914333, 44771059935864124, 169641311612970693, 644135461019773886, 2450491603202240292, 9338797200333443783, 35647688556856463643, 136277225036629316605, 521701102558815102346, 1999802346746634677103, 7675096279384350954816, 29490371819428245067074, 113435142215763340110159, 436777126758282613046605, 1683423081231120737321153, 6494205326082247173444864, 25074834878053044244767713], 20681424134926104382221929866606651856023562280698\ 3013168152551809615605827701639232133330240350361390630629377616582242876956200\ 5252306352872462508303522502909770159985352889314925934167692151332708915978030\ 5363804890130425587730096410433715315177844709954562495974922152430780984881344\ 1388517595455575391825719950238238265739041111252637523605849081297092303061165\ 4283945984631075629776807541990463481540570149059858586308702288723194787897449\ 7516379919687367613900909073512010523273550584362065005704332483079201737360069\ 415974168185796731918919343332574730682835560489016983206506958241494443] ---------------------------- (A,B)= , {5}, {2, 4} [4*P^2*x^6-8*P^2*x^5-4*P*x^6+18*P^2*x^4+8*P*x^5+x^6-23*P^2*x^3-19*P*x^4-2*x^5+ 18*P^2*x^2+28*P*x^3+5*x^4-7*P^2*x-26*P*x^2-8*x^3+P^2+12*P*x+9*x^2-2*P-5*x+1, (( x^3-x^2)*C-x^3+x^2-2*x+1)/((2*x^3-x^2)*C-2*x^3+2*x^2-3*x+1), {-4*n*(n-4)*a(n)+( 80*n^2-452*n+360)*a(n-1)+(-690*n^2+4992*n-7032)*a(n-2)+(3390*n^2-29688*n+57312) *a(n-3)+(-10588*n^2+108160*n-258984)*a(n-4)+(22293*n^2-258513*n+726870)*a(n-5)+ (-32821*n^2+422701*n-1345398)*a(n-6)+(34526*n^2-484040*n+1692792)*a(n-7)+(-\ 26037*n^2+387195*n-1435722)*a(n-8)+(13622*n^2-203876*n+739440)*a(n-9)+(-4068*n^ 2+49752*n-95520)*a(n-10)+(-396*n^2+22572*n-199272)*a(n-11)+(1152*n^2-30456*n+ 199536)*a(n-12)-48*(13*n-162)*(n-13)*a(n-13)+96*(n-14)*(2*n-25)*a(n-14) = 0, a( 1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 241, a(8) = 652, a(9) = 1782, a(10) = 4923, a(11) = 13759, a(12) = 38946, a(13) = 111795, a (14) = 325890}, [1, 2, 5, 13, 34, 90, 241, 652, 1782, 4923, 13759, 38946, 111795, 325890, 966068, 2915879, 8969633, 28136629, 90013382, 293569918, 975258053, 3296134649, 11317018027, 39410202932, 138974174247, 495490609664, 1783578082772, 6473649179627, 23665805351991, 87054516144155, 321962023567248, 1196360925377977, 4463882261271390, 16716498486296846, 62803352970513489, 236633407555877852, 893920188089647622, 3384881870991101359, 12844538232635020083, 48836503265387631879, 186017206551890158072, 709715524958134782061, 2711974080691982722638, 10377919957621040798820, 39766494522463726809883, 152570137057727998705077, 586048768857939119306461, 2253616139496745515015950, 8675226970888908433822277, 33428095632400909258363560], 25612447305141589168169456581188062605689930995572\ 0302836516063817071490607983586726068153155360211176899262156399051523512843914\ 0557826537809180917409452134555926978740585042560756723707672439775958335583436\ 6911340767666610990530942612359448286211260869110950933934330057959563802447989\ 2916519081726298693518286372402560697650421575004975154094093216067690178424675\ 5962403340976351039022708444577305114118446221497430790489282778336304986680352\ 4078567283103353120624512770728391944912359670646915891765977680362136442835881\ 235525749938593504051652194578779299544831405478716234916171171297284169] ---------------------------- (A,B)= , {5}, {2, 5} [P^2*x^7+4*P^2*x^6-2*P*x^7+3*P^2*x^5-6*P*x^6+x^7-4*P^2*x^4-P*x^5+2*x^6-11*P^2*x ^3+10*P*x^4-x^5+16*P^2*x^2+8*P*x^3-4*x^4-7*P^2*x-22*P*x^2+P^2+12*P*x+7*x^2-2*P-\ 5*x+1, ((x^4+x^3-x^2)*C-2*x+1)/((x^4+2*x^3-x^2)*C+x^2-3*x+1), {-5*n*(n-5)*a(n)+ (101*n^2-673*n+552)*a(n-1)+(-867*n^2+7185*n-10572)*a(n-2)+(4112*n^2-40654*n+ 82740)*a(n-3)+(-11671*n^2+134027*n-341520)*a(n-4)+(19803*n^2-259773*n+787764)*a (n-5)+(-18082*n^2+269390*n-946272)*a(n-6)+(4765*n^2-84467*n+345084)*a(n-7)+( 4600*n^2-82412*n+368568)*a(n-8)+(-1640*n^2+44362*n-265932)*a(n-9)+(-1960*n^2+ 33368*n-138672)*a(n-10)+(483*n^2-16107*n+120408)*a(n-11)+(242*n^2-2074*n-11496) *a(n-12)+(-22*n^2+1442*n-14904)*a(n-13)+(92*n^2-2764*n+20736)*a(n-14)+(106*n^2-\ 3194*n+24048)*a(n-15)+12*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 240, a(8) = 644, a(9) = 1738, a(10 ) = 4717, a(11) = 12878, a(12) = 35386, a(13) = 97940, a(14) = 273330, a(15) = 770143, a(16) = 2194161}, [1, 2, 5, 13, 34, 90, 240, 644, 1738, 4717, 12878, 35386, 97940, 273330, 770143, 2194161, 6331628, 18539483, 55182440, 167242655, 516798830, 1629690101, 5245954060, 17231996374, 57708762071, 196763218447, 681880871089, 2397388112974, 8535603422782, 30721360529212, 111602251368495, 408632130037597, 1506283367753998, 5584249409005756, 20804112748123501, 77833202960663966, 292260103007861980, 1100940795552059260, 4158955220882593023 , 15750516185175923884, 59783704110837888204, 227380821577213283764, 866419092510525762598, 3307024286137331087053, 12642225438080968679409, 48398937702276512042298, 185536791218470561239545, 712142977900262891469944, 2736608751438730809705187, 10527752994920885563160395], 76369870954116129816719\ 3300263846163971090378275381036129843905271254802673937252563644949754971642904\ 2714090674924724099363102218797145064298513360389301143088027311513816066788437\ 2891880782951279542853206722482785364000347711334546638163794939497450818271141\ 9258854363975022793260635249047115542209530447707972131034287668297261160196229\ 6621024559999542006337410836545854500040941442918415821264563899244552884721919\ 7468679552483329787332187412429521217307550785287004226407312515194087587639896\ 0726496556341612053150899862297287134372573539719576491639360111293972257668060\ 5232354131129451601] ---------------------------- (A,B)= , {5}, {3, 4} [P^2*x^8-4*P^2*x^7+5*P^2*x^6+2*P*x^7+5*P^2*x^5-6*P*x^6-17*P^2*x^4+2*P*x^5+x^6+8 *P^2*x^3+17*P*x^4-2*x^5+8*P^2*x^2-18*P*x^3-2*x^4-6*P^2*x-8*P*x^2+8*x^3+P^2+10*P *x+x^2-2*P-4*x+1, (-C*x^3+x^3-x^2-2*x+1)/((x^4-x^3)*C-x^4+2*x^3-3*x+1), {4*n*(n -4)*a(n)+(-73*n^2+415*n-330)*a(n-1)+(536*n^2-3944*n+5568)*a(n-2)+(-1963*n^2+ 17827*n-34830)*a(n-3)+(3348*n^2-37272*n+92904)*a(n-4)+(-397*n^2+12691*n-50154)* a(n-5)+(-7463*n^2+84689*n-241734)*a(n-6)+(9585*n^2-127335*n+423546)*a(n-7)+(-\ 835*n^2+15439*n-69198)*a(n-8)+(-5844*n^2+80070*n-258864)*a(n-9)+(3894*n^2-54318 *n+171996)*a(n-10)+(-1186*n^2+27694*n-168444)*a(n-11)+(917*n^2-34613*n+278034)* a(n-12)+(-331*n^2+15475*n-139614)*a(n-13)+(-562*n^2+13390*n-79020)*a(n-14)+(629 *n^2-17201*n+117330)*a(n-15)+(-254*n^2+7226*n-51180)*a(n-16)+20*(2*n-27)*(n-16) *a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 40, a(6) = 116, a (7) = 339, a(8) = 997, a(9) = 2948, a(10) = 8762, a(11) = 26178, a(12) = 78637, a(13) = 237592, a(14) = 722363, a(15) = 2211267, a(16) = 6819672, a(17) = 21204093}, [1, 2, 5, 14, 40, 116, 339, 997, 2948, 8762, 26178, 78637, 237592, 722363, 2211267, 6819672, 21204093, 66514922, 210653986, 674004646, 2180001028, 7131139456, 23600020152, 79028491372, 267767371699, 917777848426, 3180912754390 , 11142048933740, 39417920245295, 140741287417221, 506775628812539, 1838827082346034, 6718468295739854, 24699838215188624, 91311429703018097, 339235767620688885, 1265868021956735982, 4742163817558613249, 17827147935979248178, 67226905150721287304, 254225836533096277326, 963805210660801307126, 3662230180636124237430, 13944293143110319381430, 53193874513440415795098, 203268970383049736731183, 777971749265308512949202, 2981853698542387674729194, 11444360798776321703393668, 43978245838014584336378625], 31494117364949902794913209758481111027062284694693\ 1887525520584653425722172976599603047333780397871602019284784446711383678710401\ 0262829315571562240466383719179513802860524649225082059630255417216945161425579\ 1219370630541457654865648212635070216653785438218636892694733050551147112772176\ 3263984546336721070244205092696808880945943258181840471193456952860146283591577\ 0872721143512499170693715816410297218157532117056770804070903849085070751974532\ 8637918279730253344042709908693799667200052122593765810205001804215624404346078\ 502636399658172319065686488192896510882184050313594058917764802531042742] ---------------------------- (A,B)= , {5}, {3, 5} [P^2*x^7-6*P^2*x^6+14*P^2*x^5+4*P*x^6-10*P^2*x^4-15*P*x^5-7*P^2*x^3+16*P*x^4+4* x^5+15*P^2*x^2+2*P*x^3-5*x^4-7*P^2*x-20*P*x^2+2*x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, ((-2*x^3+x^2)*C+x^2+2*x-1)/((x^4-3*x^3+x^2)*C-x^3+3*x-1), {5*n*(n-5)*a(n)+(-101 *n^2+673*n-552)*a(n-1)+(859*n^2-7127*n+10488)*a(n-2)+(-3973*n^2+39395*n-80232)* a(n-3)+(10670*n^2-123280*n+314832)*a(n-4)+(-15884*n^2+211906*n-648120)*a(n-5)+( 8749*n^2-144893*n+540228)*a(n-6)+(9942*n^2-120090*n+359868)*a(n-7)+(-21089*n^2+ 312745*n-1156380)*a(n-8)+(14109*n^2-217665*n+826452)*a(n-9)+(-1600*n^2+7868*n+ 70512)*a(n-10)+(-3132*n^2+72792*n-417840)*a(n-11)+(1782*n^2-39354*n+216456)*a(n -12)+(-269*n^2+5287*n-24228)*a(n-13)+(-48*n^2+1470*n-11016)*a(n-14)+8*(2*n-27)* (n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 40, a(6) = 116, a(7) = 338, a(8) = 989, a(9) = 2902, a(10) = 8538, a(11) = 25183, a(12) = 74471, a(13) = 220833, a(14) = 656825, a(15) = 1960160}, [1, 2, 5, 14, 40, 116, 338, 989, 2902, 8538, 25183, 74471, 220833, 656825, 1960160, 5871846, 17665379, 53407326, 162372996, 496829512, 1531309852, 4758723796, 14925017990, 47288928407, 151503874763, 491199947694, 1612649354638, 5363516019171, 18074116196211, 61704276498412, 213336179680203, 746529041769049, 2641960717459036, 9447464190186852, 34103367185439492, 124151054414541129, 455370271882136876, 1681336752060341946, 6244071105959135654, 23307088634106429762, 87384957304627911462, 328905654421928647352, 1242175713255073459655, 4705360281474102902203, 17870984646228578322380, 68033110939203686205990, 259536528068791141628303, 991949546627384135083681, 3797643112286089830967388, 14561441712986827784502805], 99073522736731950226266\ 5665298936717692467987807857908305252065172084168196153123410094001097359859800\ 6447189301191555404706010464546640871305594262114428596753930952241677665033640\ 1945721008179878150084660507038949331176478065142382828466775361965775605048433\ 8470515861858208185281038252940484847843642453840442502209028701619778746722915\ 1550713707209628524458006948347824462992768156264900875949480082409209276555468\ 4495892332029616206588655062285534028434077886520323657128703343490948646073529\ 4134740700930636310071160361037398791036267221129700331897075333015574774272397\ 2035446005006681712] ---------------------------- (A,B)= , {5}, {4, 5} [4*P^2*x^7-4*P^2*x^6-4*P*x^7+7*P^2*x^5+6*P*x^6+x^7-2*P^2*x^4-7*P*x^5-2*x^6-18*P ^2*x^3+8*P*x^4+2*x^5+21*P^2*x^2+16*P*x^3-3*x^4-8*P^2*x-30*P*x^2-2*x^3+P^2+14*P* x+10*x^2-2*P-6*x+1, ((x^4-x^3)*C+x^2-3*x+1)/((2*x^4-x^3)*C+3*x^2-4*x+1), {-5*n* (n-5)*a(n)+(110*n^2-730*n+600)*a(n-1)+(-1036*n^2+8546*n-12588)*a(n-2)+(5438*n^2 -53542*n+109008)*a(n-3)+(-17301*n^2+197907*n-504180)*a(n-4)+(33733*n^2-440393*n +1334304)*a(n-5)+(-37848*n^2+559860*n-1964616)*a(n-6)+(17997*n^2-314001*n+ 1293468)*a(n-7)+(7150*n^2-82142*n+208464)*a(n-8)+(-14006*n^2+207928*n-744600)*a (n-9)+(7952*n^2-100024*n+215928)*a(n-10)+(-2384*n^2+9628*n+176736)*a(n-11)+(-82 *n^2+12428*n-139104)*a(n-12)+(-36*n^2+3912*n-43512)*a(n-13)+(520*n^2-15512*n+ 115296)*a(n-14)+(-400*n^2+11648*n-84768)*a(n-15)+96*(n-16)*(2*n-29)*a(n-16) = 0 , a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 14, a(5) = 41, a(6) = 123, a(7) = 374, a (8) = 1146, a(9) = 3529, a(10) = 10907, a(11) = 33812, a(12) = 105105, a(13) = 327583, a(14) = 1023704, a(15) = 3207948, a(16) = 10082128}, [1, 2, 5, 14, 41, 123, 374, 1146, 3529, 10907, 33812, 105105, 327583, 1023704, 3207948, 10082128, 31786625, 100558887, 319313055, 1018094607, 3260672842, 10494496768, 33958724067, 110531197141, 362054276842, 1194059638251, 3966791391582, 13279824897698, 44816360143423, 152506736722430, 523390382961784, 1811663559676966, 6324530120154292, 22264632139545885, 79019490633813162, 282645534749848743, 1018513939147293619, 3695850825862082917, 13498207663245732254, 49594903952803704405, 183223999623716766819, 680303158559297228936, 2537449285014460813536, 9503405508194099644998, 35725184404973788197117, 134748598845161808763189, 509782428838774102984215, 1933869586820256766797809, 7354209062124205414329707, 28029079744207407414159984], 17257603151695203910698269144301535890202697812220\ 4340280663641446073417139106818197440385956563854116393663851431722292251938633\ 5280970813917620696943443432346919606749741453572045083544128126672101767112614\ 1315219392307789845264612476689107099748065855283083576938639650303986913685317\ 7758096345661715288681187480617132630475381597429491601279674435513050938144882\ 0451268407612597846586974719255152617691291680327035968859861974233764026028389\ 2256333122900566394090948247195963187654508750467064479295104513363802825381923\ 409299475292936673907879777897176978074818936123784363434421791791760257] ---------------------------- (A,B)= , {5}, {1, 2, 3} [4*P^2*x^7+7*P^2*x^6+10*P^2*x^5+5*P^2*x^4-2*P^2*x^3+4*P*x^4-4*P^2*x^2+7*P*x^3-3 *P^2*x+6*P*x^2+2*P^2+2*P*x-4*P+x+2, (-C*x+x+1)/((x^4+x^3+x^2-x)*C-2*x^4-2*x^3-2 *x^2+1), {12*n*(n-3)*a(n)+(-126*n^2+630*n-480)*a(n-1)+(392*n^2-2718*n+3640)*a(n -2)+(-197*n^2+1929*n-3580)*a(n-3)+(-466*n^2+4626*n-10592)*a(n-4)+(-315*n^2+1695 *n-1128)*a(n-5)+(561*n^2-8187*n+27348)*a(n-6)+(1104*n^2-10698*n+24504)*a(n-7)+( 274*n^2-708*n-5764)*a(n-8)+(-424*n^2+9018*n-38960)*a(n-9)+(-801*n^2+11271*n-\ 39552)*a(n-10)+(-372*n^2+4890*n-15120)*a(n-11)-48*(n-1)*(n-9)*a(n-12)+32*(2*n-\ 19)*(n-10)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 15, a(6) = 30, a(7) = 60, a(8) = 123, a(9) = 260, a(10) = 576, a(11) = 1353, a(12) = 3414, a(13) = 9299}, [1, 2, 4, 8, 15, 30, 60, 123, 260, 576, 1353, 3414, 9299, 27237, 84842, 277206, 937975, 3254194, 11494205, 41135353, 148685640, 541647456 , 1985765605, 7319114133, 27100854405, 100752048313, 375903380499, 1406992344708, 5281639345892, 19879050801346, 75002612785017, 283613804359119, 1074669865219100, 4079946166677756, 15516989296058097, 59112891049866479, 225544315608521627, 861815397599822037, 3297546589909774309, 12633597863184286882, 48460812935366476846, 186102703943522601944, 715461391164685939075, 2753382658577360634623, 10606473704443663018358, 40895778710700520273683, 157822690697428663812081, 609573082276546152485437, 2356300292728041706543200, 9115244072722850473745587], 805540465092721672925199\ 8352617739135689833129294305307514019892020628387475289113073562203038891252221\ 1142760672266442400591007787667243402159017231491277059107119652553776635139749\ 5169315224569351288472232327363374882262846410483947630809432210601949554217009\ 2724262986292774753701833879216571759026372700565817704089382252351380660133271\ 9703403049860875993727762705907747442109909460783470227529265938207527176068352\ 8507373384438005019348380389458432416544953425193716861340331803586705619296507\ 8081124516510308372471523073952525189580488880504403291067869182283150401846912\ 328420501608378308] ---------------------------- (A,B)= , {5}, {1, 2, 4} [P^2*x^8+2*P^2*x^7-P^2*x^6+2*P^2*x^5+2*P*x^6+P^2*x^4-7*P^2*x^3-P*x^4+9*P^2*x^2+ 8*P*x^3+x^4-5*P^2*x-12*P*x^2-2*x^3+P^2+8*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/ ((x^4+x^3-x^2)*C-x^4-x^3+x^2-2*x+1), {4*n*(n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1) +(454*n^2-3334*n+4692)*a(n-2)+(-1718*n^2+15254*n-29508)*a(n-3)+(3978*n^2-41298* n+99660)*a(n-4)+(-5875*n^2+69985*n-200622)*a(n-5)+(5455*n^2-74293*n+247446)*a(n -6)+(-2783*n^2+45161*n-178110)*a(n-7)+(159*n^2-9249*n+61086)*a(n-8)+(841*n^2-\ 6451*n-5142)*a(n-9)+(-638*n^2+5498*n+4788)*a(n-10)+(151*n^2-1393*n-4386)*a(n-11 )+(76*n^2-532*n-696)*a(n-12)+(-23*n^2-163*n+4362)*a(n-13)+(-46*n^2+1186*n-7596) *a(n-14)+(34*n^2-934*n+6372)*a(n-15)+12*(n-14)*(2*n-25)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 153, a(9) = 347, a(10) = 823, a(11) = 2055, a(12) = 5426, a(13) = 15161, a(14) = 44681, a (15) = 138004, a(16) = 443244}, [1, 2, 4, 8, 16, 33, 70, 153, 347, 823, 2055, 5426, 15161, 44681, 138004, 443244, 1469012, 4990282, 17282338, 60766762, 216260393, 777216512, 2815926675, 10272048284, 37689576194, 138988674665, 514831174039, 1914524472548, 7144778226864, 26748430652482, 100429694630204, 378068746436101, 1426688783902958, 5395783166996272, 20449058849172310, 77646319483472414, 295351576599156598, 1125321850192701567, 4294242836518371813 , 16410683961629879631, 62799872204858591681, 240629036965101503540, 923129708842075315901, 3545469491431293282502, 13631837386041406664139, 52466256155921400871040, 202128757135830643452328, 779430710882714118258196, 3008214948269344319893345, 11619946147539134939510819], 96681815612818587069971\ 0322951762350184809286609226029729283305271893496253471795456119278651837583961\ 1607867275253033471972543197932837792383546130848547103820973333727701239101746\ 6683359528304432523048803541313657039355750498805190954070972335710945649093240\ 4125774772672003204761392960954613916356173544704264948517008030580772698010411\ 9354977998527906599777493033662290308531157187177307119544282439909346017457805\ 6492831940660865076113943171136449889948249788669162059036587084325290259237370\ 6776452908802479810183243703447753393517785365520615800467758154101628932428941\ 8286407737796717975] ---------------------------- (A,B)= , {5}, {1, 2, 5} [P^2*x^9+2*P^2*x^8+3*P^2*x^7-3*P^2*x^5+2*P*x^6-3*P^2*x^4+3*P*x^5+2*P*x^4+7*P^2* x^2-2*P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x ^4+x^3-x^2)*C-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(561*n^2-4713* n+6912)*a(n-2)+(-1976*n^2+19834*n-40368)*a(n-3)+(3792*n^2-44442*n+114024)*a(n-4 )+(-3546*n^2+48336*n-150048)*a(n-5)+(631*n^2-11231*n+44400)*a(n-6)+(909*n^2-\ 16053*n+66648)*a(n-7)+(349*n^2-3605*n+5688)*a(n-8)+(-334*n^2+10232*n-61176)*a(n -9)+(-790*n^2+10556*n-28848)*a(n-10)+(185*n^2-4543*n+26064)*a(n-11)+8*(5*n-39)* (5*n-82)*a(n-12)+(221*n^2-3097*n+8880)*a(n-13)+(-44*n^2+1246*n-8376)*a(n-14)-4* (n-8)*(8*n-99)*a(n-15)+(-2*n^2+4*n+288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 147, a(9) = 320, a(10) = 715, a(11) = 1649, a(12) = 3952, a(13) = 9908, a(14) = 26122, a(15) = 72596, a(16) = 212402, a(17) = 651272}, [1, 2, 4, 8, 16, 33, 69, 147, 320, 715, 1649, 3952, 9908, 26122, 72596, 212402, 651272, 2078951, 6859036 , 23232680, 80333881, 282309044, 1004858284, 3613590744, 13104156806, 47852311735, 175774734974, 648951077410, 2406514270958, 8959027839046, 33469234042259, 125426961337087, 471376736511169, 1776103398291410, 6708060583160237, 25390560996288989, 96299088968958499, 365917290880149680, 1392829275594702133, 5310266795334291407, 20276487001682352175, 77532867201196924355, 296864607110700975502, 1138089729695437475333, 4368266291211731624260, 16785251831578212368121, 64566423757754459876209, 248611806066176361774471, 958188149452005158929549, 3696352842715421608164240], 2923602080902148548274913472677649165197656565726441855759556015671657967336276\ 5688745801985260628438117447344582469031799376866357701936053501185371119262727\ 9332494365773005298665490162069622384331666593686473939012151157567231561873132\ 8427900395076940802608521802992091287326900416963931357031048762515673159040289\ 7390241287990686660928289967708438791798769473394859864624231788840141467004283\ 3338186384212579452256325117847804630926264531049388746802721499838555942260765\ 4755963359014984051380481716512095690173760872460161045507346857900480857713664\ 734199993035006253050258982818437872483667] ---------------------------- (A,B)= , {5}, {1, 3, 4} [P^2*x^8-4*P^2*x^7+7*P^2*x^6+2*P*x^7-2*P^2*x^5-6*P*x^6-10*P^2*x^4+6*P*x^5+x^6+ 11*P^2*x^3+7*P*x^4-2*x^5+P^2*x^2-16*P*x^3-4*P^2*x+2*P*x^2+5*x^3+P^2+6*P*x-2*x^2 -2*P-2*x+1, (-C*x^3+x^3-x^2-x+1)/((x^4-x^3)*C-x^4+2*x^3-x^2-2*x+1), {4*n*(n-4)* a(n)+(-59*n^2+341*n-270)*a(n-1)+(324*n^2-2442*n+3444)*a(n-2)+(-733*n^2+6979*n-\ 13770)*a(n-3)+(83*n^2-2723*n+8826)*a(n-4)+(2590*n^2-26428*n+67128)*a(n-5)+(-\ 3908*n^2+47276*n-141936)*a(n-6)+(-34*n^2-1028*n+7548)*a(n-7)+(4496*n^2-60530*n+ 201876)*a(n-8)+(-3496*n^2+47734*n-156528)*a(n-9)+(497*n^2-9755*n+54006)*a(n-10) +(172*n^2+10256*n-130104)*a(n-11)+(-50*n^2-11134*n+133332)*a(n-12)+(681*n^2-\ 12669*n+53898)*a(n-13)+(-1066*n^2+27598*n-178692)*a(n-14)+(725*n^2-19937*n+ 136818)*a(n-15)+(-254*n^2+7226*n-51180)*a(n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 46, a(7) = 107, a(8) = 254, a(9) = 614, a(10) = 1518, a(11) = 3850, a(12) = 10060, a(13) = 27185, a( 14) = 76204, a(15) = 221914, a(16) = 671079, a(17) = 2102648}, [1, 2, 4, 9, 20, 46, 107, 254, 614, 1518, 3850, 10060, 27185, 76204, 221914, 671079, 2102648, 6801231, 22612490, 76934316, 266761774, 939351685, 3349477418, 12066140699, 43834638481, 160366577562, 590177957624, 2182998856104, 8110212230182, 30247169557888, 113193417003753, 424898765687705, 1599365238343086, 6035288290594174, 22826686844569983, 86516979659182685, 328551099934454410, 1249929843721879353, 4763153830856017874, 18179457589764987132, 69486546571798664462, 265958894121196325779, 1019263640740833398935, 3910968090355715147821, 15023741399981837274368, 57775124569767272564319, 222406640843255170236445, 856990025263426423690456, 3305246063261264175291341, 12758872080117060009554873], 10374244429473324273104415678786203848910790553303\ 2154374211067265116663683587775012650739819340368722811173330716841721857451681\ 9451068589685706154104583133150209322703838327816623352000667853286452924689354\ 0535769697193591171668626081821557699608825199769268075308197414495240400056098\ 8031833198175940943437221181976174916720628745539399810240487794018529854881926\ 5984086282773833176124945555120946496583100304452528278804607656671452597786292\ 4099121746038955469263054846119577851564695474130696262323061153469955307267390\ 449052668296978360205870204556583974580424187072459827902380415971925272] ---------------------------- (A,B)= , {5}, {1, 3, 5} [P^2*x^6+4*P^2*x^5-10*P^2*x^4-3*P*x^5+4*P^2*x^3+10*P*x^4+x^5+6*P^2*x^2-8*P*x^3-\ 2*x^4-5*P^2*x-6*P*x^2+3*x^3+P^2+8*P*x+x^2-2*P-3*x+1, ((x^3-x^2)*C-x^2-x+1)/((2* x^3-x^2)*C+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(553*n^2-\ 4655*n+6828)*a(n-2)+(-1851*n^2+18705*n-38124)*a(n-3)+(2997*n^2-35997*n+93216)*a (n-4)+(-861*n^2+16161*n-57576)*a(n-5)+(-4616*n^2+57406*n-175620)*a(n-6)+(6705*n ^2-96657*n+343764)*a(n-7)+(-2067*n^2+30843*n-112860)*a(n-8)+(-2514*n^2+47286*n-\ 221784)*a(n-9)+(2209*n^2-44729*n+226152)*a(n-10)+(-402*n^2+9606*n-56664)*a(n-11 )+(-75*n^2+1473*n-6996)*a(n-12)+6*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 46, a(7) = 106, a(8) = 248, a(9) = 585 , a(10) = 1398, a(11) = 3386, a(12) = 8344, a(13) = 20993}, [1, 2, 4, 9, 20, 46 , 106, 248, 585, 1398, 3386, 8344, 20993, 54179, 144106, 396778, 1134492, 3372854, 10416457, 33318810, 109912439, 372134971, 1287108433, 4528870701, 16155858906, 58270138156, 212038953567, 777201205222, 2865907363557, 10621626994744, 39536985497082, 147724475234666, 553785735988981, 2082157277586931, 7849433727341760, 29662543712687182, 112339545601718599, 426317501056829781, 1620848109662412588, 6173066946653858471, 23548157413413894467, 89962945618805860881, 344175191698347334240, 1318460477439084734023, 5056993284497953119739, 19418893592926109138888, 74650936916619222178343, 287275720861430739681060, 1106602803384344125367448, 4266698565993486187301449], 331814654923404515143620781626715259119205382319346\ 9432473669377836213980750153974249236139748389221323754867871243499763348838244\ 7338773330967644919338038469430025984619840619682187837144083629617746953795103\ 9961945829303046910973707386553207728940727733493409041835735150617011957664629\ 9664026873111414112420178684499212799100582784578693908786703612949489265896275\ 8940798624921814473928465144315219976963965639488061211916097885424665001408101\ 0794834742970892301931753609678860852804452521335408602062386232736092670331201\ 6015195800243148879665550313793991248320580345562830565198799406836276] ---------------------------- (A,B)= , {5}, {1, 4, 5} [P^2*x^9+2*P^2*x^8+P^2*x^6+2*P*x^7+2*P*x^6-8*P^2*x^4+P*x^5+6*P*x^4+x^5+10*P^2*x ^2-4*P*x^3-6*P^2*x-12*P*x^2+2*x^3+P^2+10*P*x+3*x^2-2*P-4*x+1, (-C*x^3-2*x+1)/(( x^5+x^4-x^3)*C+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+(698* n^2-5830*n+8568)*a(n-2)+(-2788*n^2+27884*n-56832)*a(n-3)+(6089*n^2-71329*n+ 183192)*a(n-4)+(-6296*n^2+86824*n-271224)*a(n-5)+(37*n^2-9569*n+56304)*a(n-6)+( 5546*n^2-81130*n+289896)*a(n-7)+(-2748*n^2+47736*n-201336)*a(n-8)+(-1531*n^2+ 24107*n-94704)*a(n-9)+(1143*n^2-15555*n+45408)*a(n-10)+(-334*n^2-694*n+43296)*a (n-11)+(60*n^2-2508*n+16608)*a(n-12)+(317*n^2-2641*n-10104)*a(n-13)+(-36*n^2+ 1116*n-7752)*a(n-14)+(-62*n^2+1162*n-4848)*a(n-15)-4*(5*n-66)*(n-14)*a(n-16)+6* (7*n-103)*(n-16)*a(n-17)+12*(n-16)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a( 3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a(7) = 127, a(8) = 322, a(9) = 828, a( 10) = 2156, a(11) = 5683, a(12) = 15173, a(13) = 41083, a(14) = 113001, a(15) = 316369, a(16) = 903457, a(17) = 2636841, a(18) = 7878183}, [1, 2, 4, 9, 21, 51, 127, 322, 828, 2156, 5683, 15173, 41083, 113001, 316369, 903457, 2636841, 7878183, 24119935, 75690846, 243321591, 800233678, 2687407848, 9195274310, 31981106224, 112805800035, 402689828130, 1452149991245, 5281660387736, 19349773898313, 71327348383412, 264317020562951, 983939626246590, 3677303952089355, 13791088607944863, 51880358029662607, 195704072328576512, 740065051939848727, 2804868483532217529, 10652270022840250855, 40530830090374242204, 154482380209662100075, 589748768993613105413, 2254763217978179221164, 8632515473399694977716, 33093118640371118039255, 127018585219707182909705, 488084268781522919974918, 1877551900785151400394210, 7229909526803156962354642], 539311399920158488744044649778210321270548734796291\ 0436838113597278843811899375978454691676966296087787359739031519445179943721347\ 3195401662553192501445266132948344449522866623787749962400720053721291986493356\ 0120697160229584367569146384783302737644747097311724906628479614047055548969653\ 7321845491204408697816853556984519280829370420688673007682588804957776364619682\ 1309731052659984693098583737687595958364025022104194043915394134739671369496920\ 0277969882047940053295611432055722320412065993922101552474984923482745465965024\ 4225839300037351016801632631488457944120368880265667863979426325929021] ---------------------------- (A,B)= , {5}, {2, 3, 4} [P^2*x^8-2*P^2*x^7-2*P*x^8+4*P*x^7+x^8-P^2*x^5-2*x^7+9*P^2*x^4+P^2*x^3-15*P*x^4 +x^5+2*P^2*x^2+6*x^4-4*P^2*x-x^3+P^2+6*P*x-x^2-2*P-2*x+1, (C*x^4-x^4+x^3+x^2+x-\ 1)/(C*x^4-x^4+x^3+x^2+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-330* n^2+2478*n-3492)*a(n-2)+(850*n^2-7822*n+15228)*a(n-3)+(-965*n^2+10271*n-24714)* a(n-4)+(592*n^2-5320*n+11448)*a(n-5)+(-1345*n^2+12757*n-28638)*a(n-6)+(1934*n^2 -24098*n+74748)*a(n-7)+(-291*n^2+2769*n-4326)*a(n-8)+(104*n^2+4510*n-50148)*a(n -9)+(-455*n^2-793*n+56814)*a(n-10)+(-222*n^2+10692*n-94656)*a(n-11)+(410*n^2-\ 11726*n+82716)*a(n-12)+(-847*n^2+26137*n-196350)*a(n-13)+(566*n^2-18716*n+ 151104)*a(n-14)+(-158*n^2+4586*n-33156)*a(n-15)+4*(67*n-888)*(n-16)*a(n-16)-6*( 37*n-522)*(n-17)*a(n-17)+28*(n-18)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a( 3) = 5, a(4) = 13, a(5) = 33, a(6) = 85, a(7) = 220, a(8) = 572, a(9) = 1496, a (10) = 3938, a(11) = 10446, a(12) = 27966, a(13) = 75709, a(14) = 207729, a(15) = 579176, a(16) = 1645495, a(17) = 4776876, a(18) = 14203340}, [1, 2, 5, 13, 33 , 85, 220, 572, 1496, 3938, 10446, 27966, 75709, 207729, 579176, 1645495, 4776876, 14203340, 43329184, 135721198, 436374114, 1438267105, 4849190192, 16680862293, 58382906079, 207351401755, 745465164798, 2707293019838, 9914469363003, 36560253052553, 135598810989487, 505373732341964, 1891318394736931, 7103325290743544, 26761117218272702, 101095492801711677, 382837190573057646, 1452928818029749094, 5525017859300883838, 21047841050538280287, 80316074161213000890, 306947297746547419172, 1174746262352939041225, 4501958778780224890926, 17274248528990073883721, 66359636389027663092751, 255203321232066595396759, 982469944386909135922897, 3785980918826673824668250, 14602978385632758941396407], 11580900760437706106585\ 2653283157534103596998903250806691881819893114501100292322484842738551865338382\ 6781253400198088589034661211023007173208936328271549559253823455048030874509333\ 6804951193021874684419566690194198169865702199999841960119417744003883041906123\ 4850403723591969401133486376389652554285580305147691111570480537719810766645924\ 2503485835555064856706564172370278986028583681962483259941207175272271714714128\ 9860088602153936835706948311306703091854809125222320679122283741533436821857836\ 4737438903663070529471677840136884689559926550861750385646727386038626164063974\ 91932983935941054316] ---------------------------- (A,B)= , {5}, {2, 3, 5} [P^2*x^7+4*P^2*x^6-2*P*x^7+P^2*x^5-6*P*x^6+x^7-2*P^2*x^4+P*x^5+2*x^6+P^2*x^3+2* P*x^4-x^5+6*P^2*x^2-4*P*x^3-5*P^2*x-6*P*x^2+2*x^3+P^2+8*P*x+x^2-2*P-3*x+1, ((x^ 4+x^3-x^2)*C-x^3-x^2-x+1)/((x^4+2*x^3-x^2)*C-x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+( 83*n^2-559*n+456)*a(n-1)+(-553*n^2+4655*n-6828)*a(n-2)+(1870*n^2-18836*n+38316) *a(n-3)+(-3271*n^2+38435*n-98184)*a(n-4)+(2383*n^2-32585*n+99684)*a(n-5)+(556*n ^2-6524*n+20784)*a(n-6)+(-1543*n^2+24941*n-98484)*a(n-7)+(-114*n^2-3138*n+31032 )*a(n-8)+(1192*n^2-15506*n+43452)*a(n-9)+(-376*n^2+8576*n-48528)*a(n-10)+(-287* n^2+2875*n+4176)*a(n-11)+(6*n^2-474*n+4584)*a(n-12)+(-60*n^2+1836*n-13824)*a(n-\ 13)+(52*n^2-1496*n+10800)*a(n-14)+(106*n^2-3194*n+24048)*a(n-15)+12*(n-16)*(2*n -29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 33, a(6) = 85 , a(7) = 219, a(8) = 566, a(9) = 1467, a(10) = 3814, a(11) = 9952, a(12) = 26081, a(13) = 68715, a(14) = 182245, a(15) = 487372, a(16) = 1316958}, [1, 2, 5, 13, 33, 85, 219, 566, 1467, 3814, 9952, 26081, 68715, 182245, 487372, 1316958, 3604826, 10024521, 28411149, 82327082, 244599801, 746672046, 2344140647, 7566249963, 25070200480, 85064507209, 294682233184, 1038993557120, 3717320409300, 13460312291359, 49217044752603, 181391359329453, 672859620577827 , 2509233501621928, 9398926143984120, 35337363696035076, 133282663544400071, 504095099179449591, 1911194070291761114, 7261627142608459210, 27644284712334787695, 105424424175478250280, 402695414808926245661, 1540482504221096599201, 5901119050708137694282, 22634378716679570854274, 86920743006016256271549, 334169681203419181660985, 1286088597983188147038496, 4954607292233363773414862], 375855175085471620324320798300525205523621488946313\ 8489219193296468850509062577824706648872293556659813796377089050651225462481111\ 1010090521379890613275800122224851553766979124168750486802508958160101367511314\ 2086734374949191771597997339588036959045222277516898003536819272799612381051546\ 9151531306879962929763129231989849933951581928912415637400483360091781677454893\ 6059710829975486238433976290332289849819880139685417348098630353036435386581263\ 4812547269509280220085295616412934192959095475405798220452715927750195806052679\ 6801800880495743061978236547225519816298381919457092985956362736139016] ---------------------------- (A,B)= , {5}, {2, 4, 5} [4*P^2*x^7-4*P^2*x^6-4*P*x^7+3*P^2*x^5+6*P*x^6+x^7-6*P^2*x^4-3*P*x^5-2*x^6-P^2* x^3+8*P*x^4+x^5+10*P^2*x^2-4*P*x^3-2*x^4-6*P^2*x-12*P*x^2+3*x^3+P^2+10*P*x+3*x^ 2-2*P-4*x+1, ((x^4-x^3)*C-2*x+1)/((2*x^4-x^3)*C+x^2-3*x+1), {-5*n*(n-5)*a(n)+( 92*n^2-616*n+504)*a(n-1)+(-698*n^2+5830*n-8568)*a(n-2)+(2793*n^2-27909*n+56832) *a(n-3)+(-6160*n^2+71828*n-183624)*a(n-4)+(6665*n^2-90169*n+276408)*a(n-5)+(-\ 794*n^2+18238*n-75048)*a(n-6)+(-5638*n^2+79568*n-282504)*a(n-7)+(5632*n^2-79760 *n+279576)*a(n-8)+(-2956*n^2+26648*n-5808)*a(n-9)+(1478*n^2-1612*n-126528)*a(n-\ 10)+(56*n^2-11536*n+120264)*a(n-11)+(-570*n^2+9276*n-31776)*a(n-12)+(-100*n^2+ 5912*n-59544)*a(n-13)+(392*n^2-11224*n+80352)*a(n-14)+(-400*n^2+11648*n-84768)* a(n-15)+96*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13 , a(5) = 34, a(6) = 90, a(7) = 240, a(8) = 643, a(9) = 1730, a(10) = 4674, a(11 ) = 12683, a(12) = 34582, a(13) = 94816, a(14) = 261655, a(15) = 727638, a(16) = 2042109}, [1, 2, 5, 13, 34, 90, 240, 643, 1730, 4674, 12683, 34582, 94816, 261655, 727638, 2042109, 5793901, 16651044, 48574062, 144139369, 435942494, 1345975451, 4246710333, 13696631282, 45136851932, 151815915977, 520299422989, 1813336582257, 6413234950553, 22969532074923, 83152235600320, 303744518356150, 1117961171109222, 4140971666679463, 15420609434842411, 57686123207294782, 216633516886939424, 816268859178351765, 3084657848040282607, 11686783008416370603, 44378535206953454565, 168864612050956859261, 643734837654669941798, 2458140569287954239304, 9401069441133878016444, 36005333401181272900097, 138079947355244007018319, 530187432682829364313842, 2038115410992156997971559, 7843284621083108185338567], 575677720675284784593208\ 8362787421730015907179881127988572540599681429080784814833428442744133862906072\ 3412118030135542936403132040453833251691813806669058916638592550838128509098049\ 9021340630799737512388334382999614216681450780543924258811098567079963372832234\ 9596752185799464639211605758878828776309613890408702865807551444266411915517275\ 9075486120160168358035452708583888276667138213780323416482774016063553299753950\ 2174794667699192756185394437238642466277484449548756006130448708164103443433462\ 4050298141995616768243555666253762421114374939723782937912467691004067471848504\ 893519748415123387] ---------------------------- (A,B)= , {5}, {3, 4, 5} [P^2*x^9-2*P^2*x^8+2*P^2*x^7+2*P*x^8-2*P*x^7-3*P^2*x^5+2*P*x^6+x^7-2*P^2*x^4+3* P*x^5+P^2*x^3-2*P*x^4+x^5+9*P^2*x^2-6*P*x^3+3*x^4-6*P^2*x-10*P*x^2+3*x^3+P^2+10 *P*x+2*x^2-2*P-4*x+1, (-C*x^4-x^2-2*x+1)/((x^5-x^4)*C+x^3-3*x+1), {5*n*(n-5)*a( n)+(-92*n^2+616*n-504)*a(n-1)+(690*n^2-5772*n+8484)*a(n-2)+(-2675*n^2+26821*n-\ 54648)*a(n-3)+(5516*n^2-64594*n+165252)*a(n-4)+(-5226*n^2+70530*n-215580)*a(n-5 )+(567*n^2-9477*n+34200)*a(n-6)+(1188*n^2-21654*n+90324)*a(n-7)+(1371*n^2-21681 *n+88104)*a(n-8)+(-574*n^2+17498*n-108480)*a(n-9)+(-1441*n^2+9893*n+37248)*a(n-\ 10)+(1022*n^2-1060*n-98460)*a(n-11)+(-394*n^2-1684*n+64920)*a(n-12)+(120*n^2-\ 2712*n+19008)*a(n-13)+24*(3*n-28)*(n-10)*a(n-14)+(-2*n^2+1018*n-14256)*a(n-15)+ (-162*n^2+4734*n-34608)*a(n-16)+(197*n^2-6217*n+48960)*a(n-17)+(-126*n^2+4098*n -33192)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a (4) = 14, a(5) = 40, a(6) = 116, a(7) = 338, a(8) = 988, a(9) = 2894, a(10) = 8493, a(11) = 24970, a(12) = 73554, a(13) = 217116, a(14) = 642354, a(15) = 1905391, a(16) = 5668708, a(17) = 16922869, a(18) = 50721671, a(19) = 152730580 }, [1, 2, 5, 14, 40, 116, 338, 988, 2894, 8493, 24970, 73554, 217116, 642354, 1905391, 5668708, 16922869, 50721671, 152730580, 462381507, 1408614828, 4322351254, 13373294540, 41766170867, 131813394143, 420825259240, 1360374723623 , 4456097206207, 14798080525573, 49830717920785, 170129549110856, 588669956766841, 2062901294367267, 7315041323036917, 26220847530560285, 94907482703258389, 346504154247736187, 1274734189289849454, 4720796302715454328 , 17583968916359961384, 65824835885929272560, 247481403479094475534, 933952840171097205037, 3536094349166057149127, 13426384712675500318634, 51106832021898760296257, 194964702771147798867839, 745217618317630446018012, 2853450187517385559379281, 10943132027540042323150629], 75330871491818956925740\ 6541666596057801891601647219103878401939039094030488726167875937788249171630829\ 3642557071672076601812079438118712151792025540197146531246357325903448334153925\ 3444031070627441733844940632440136810851936379550819984691020346443712601511281\ 6903842413487247841818583851552551545885222972878622277307716279264871867526676\ 5939774157423115729420277468429331894049903989226538036230535504957956418229166\ 1801929543004407006972200292439228247434510225904702841934128827971710819408691\ 4948788322162429795818085274680464226374009381870262727415797591149677703739296\ 5271000865519947784] ---------------------------- (A,B)= , {5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^9+P^2*x^7+2*P^2*x^6+7*P^2*x^5-2*P*x^5+3*P*x^4-P^2*x^2+2*P*x^3 -2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^5-x^5+x^4+x^3+x^2+x-1), {-4*n*(n-4)*a (n)+3*(15*n-14)*(n-5)*a(n-1)+(-166*n^2+1288*n-1800)*a(n-2)+(194*n^2-1868*n+3612 )*a(n-3)+(48*n^2-390*n+708)*a(n-4)-3*(35*n-129)*(n-6)*a(n-5)+(183*n^2-543*n-\ 2670)*a(n-6)+(-628*n^2+5818*n-10980)*a(n-7)+(96*n^2-1116*n+2076)*a(n-8)+(192*n^ 2-2862*n+9804)*a(n-9)+(175*n^2-3475*n+15054)*a(n-10)+(345*n^2-3933*n+11910)*a(n -11)+(-84*n^2-234*n+7068)*a(n-12)+(n^2-79*n+966)*a(n-13)+(-6*n^2+150*n-732)*a(n -14)+(10*n^2-142*n+444)*a(n-15)+(-10*n^2+256*n-1608)*a(n-16)+4*(2*n-23)*(n-12)* a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 15, a(6) = 30, a(7) = 60, a(8) = 122, a(9) = 254, a(10) = 548, a(11) = 1237, a(12) = 2962, a(13) = 7599, a(14) = 20962, a(15) = 61898, a(16) = 193625, a(17) = 633588}, [1, 2, 4, 8, 15, 30, 60, 122, 254, 548, 1237, 2962, 7599, 20962, 61898, 193625, 633588, 2143733, 7431442, 26220579, 93734824, 338462989, 1231866895, 4512621655, 16621005307, 61505956472, 228536204619, 852256969444, 3188608752183, 11964977976977, 45018204641870, 169797677096938, 641884926810703, 2431585165349883, 9229163830197761, 35092698434225853, 133659516426492651, 509875578613478520, 1947900793462214701, 7451931529807621151, 28545318014222136125, 109479454679366062209, 420370770663783290211, 1615873678251514536062, 6217736927802151469121, 23948829361875501957895, 92329812904784585479676, 356275220680518898236809, 1375931993077317693673870, 5318130422995119122843186], 453436572185560346347327231207421155687380658857187\ 8778544319045384227452643397235093707281623769915787921299994930338600217676847\ 9436908879724838030879158557554484452209801196042934577935288232103502446715732\ 0122797702109448807967395554363427314684522952993102638439466251156576493141707\ 2831613140846976821510704714260698625834899891171889954636623827105225276254574\ 7805551662322620714471055239132087416953086482839707516842432359346277213503254\ 7029994910514027748092341224275213927404899403527981037531054377593591544865469\ 5664663069172156246609317282100502960093856664182029861035424473506172] ---------------------------- (A,B)= , {5}, {1, 2, 3, 5} [P^2*x^9+2*P^2*x^8+3*P^2*x^7+P^2*x^5+2*P*x^6-P^2*x^4+P*x^5+2*P^2*x^3+2*P*x^4+P^ 2*x^2-2*P*x^3-3*P^2*x+x^3+P^2+4*P*x-2*P-x+1, (-C*x^2+1)/((x^5+x^4+x^3-x^2)*C-x^ 4-x^3-x^2-x+1), {5*n*(n-5)*a(n)+(-65*n^2+445*n-360)*a(n-1)+(311*n^2-2671*n+3888 )*a(n-2)+(-650*n^2+6700*n-13584)*a(n-3)+(458*n^2-5776*n+15240)*a(n-4)+(332*n^2-\ 3562*n+9216)*a(n-5)+(-681*n^2+9033*n-29400)*a(n-6)+(381*n^2-4857*n+15360)*a(n-7 )+(-147*n^2+159*n+7584)*a(n-8)+(226*n^2-800*n-8904)*a(n-9)+(-104*n^2+1486*n-\ 3912)*a(n-10)+(-181*n^2+2723*n-8472)*a(n-11)+(-48*n^2+60*n+2544)*a(n-12)+(23*n^ 2-367*n+1368)*a(n-13)+(-24*n^2+750*n-5304)*a(n-14)+(-18*n^2+306*n-1032)*a(n-15) +(6*n^2-192*n+1488)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 15, a(6) = 30, a(7) = 59, a(8) = 118, a(9) = 238, a( 10) = 490, a(11) = 1033, a(12) = 2259, a(13) = 5185, a(14) = 12660, a(15) = 33180, a(16) = 93523, a(17) = 281717}, [1, 2, 4, 8, 15, 30, 59, 118, 238, 490, 1033, 2259, 5185, 12660, 33180, 93523, 281717, 896438, 2974638, 10177719, 35598073, 126509570, 454938600, 1650886488, 6034038997, 22185386713, 81977665345, 304227918561, 1133317180496, 4236170354264, 15882487679024, 59712402818617, 225064745121617, 850271324303856, 3219114131655759, 12211667612608129, 46410055065748480, 176682287656630134, 673703307544352514, 2572733618946932473, 9838556200477652831, 37674016036059959532, 144441926511892385802, 554440671582517056114, 2130588171834331388733, 8195981608455754687712, 31559919522722042989884, 121641694433869908958073, 469267555373185258385499, 1811888133302051621876374], 1481577500493013087792541\ 4555307923811161752418027453371168718269509319281000896328698124012248742802493\ 8786811559004266314560427244968573545799694141545118860141500672083035880018972\ 0234867131889532484814141436484943113918828468543549162178644649774466343461373\ 7574394084602880687874838109794849132094416433774314946236461851482887293265509\ 1877003038922351505840806455561269898515672844912133690075521572476512061622313\ 9399287553351508828663133268374021142685062793080800484953467134703322974738246\ 1419478581310533057021843398572797275720381069908914946793590174802452886357855\ 90814024586975481] ---------------------------- (A,B)= , {5}, {1, 2, 4, 5} [P^2*x^9+2*P^2*x^8-P^2*x^7-2*P^2*x^6+2*P*x^7-P^2*x^5+2*P*x^6-P^2*x^4-P*x^5+3*P^ 2*x^3+x^5+3*P^2*x^2-4*P*x^3-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (-C*x^3-x+ 1)/((x^5+x^4-x^3)*C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(424*n^2 -3602*n+5268)*a(n-2)+(-1157*n^2+11797*n-24000)*a(n-3)+(1384*n^2-16766*n+43452)* a(n-4)+(-86*n^2+2476*n-10020)*a(n-5)+(-1123*n^2+15617*n-52284)*a(n-6)+(448*n^2-\ 7130*n+28092)*a(n-7)+(130*n^2-3590*n+19440)*a(n-8)+(128*n^2-2950*n+15012)*a(n-9 )+(336*n^2-936*n-19320)*a(n-10)+(-409*n^2+5627*n-14148)*a(n-11)+(-200*n^2+1540* n+4680)*a(n-12)+(162*n^2-2682*n+9960)*a(n-13)+(68*n^2-1096*n+3648)*a(n-14)-6*(7 *n-103)*(n-16)*a(n-15)-36*(n-14)*(n-16)*a(n-16)+6*(7*n-103)*(n-16)*a(n-17)+12*( n-16)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 146, a(9) = 314, a(10) = 689, a(11) = 1550, a(12) = 3600, a(13) = 8703, a(14) = 22074, a(15) = 59091, a(16) = 167310, a(17) = 499849, a(18) = 1566040}, [1, 2, 4, 8, 16, 33, 69, 146, 314, 689, 1550, 3600, 8703, 22074, 59091, 167310, 499849, 1566040, 5103965, 17163135, 59123779, 207458235, 738313745, 2656652956, 9643452950, 35255412437, 129657007753, 479243575206, 1779145434842, 6630260582610, 24792993595069, 92994112641198, 349771253826894, 1318889044246928, 4984668513429430, 18879418290266722, 71646580607060673, 272392528744553659, 1037368126628674157, 3956940075536723833 , 15115785519282651343, 57823810921598121350, 221488516235362612332, 849437134740982435756, 3261494611020340231449, 12536602946509304616877, 48238688849880209458141, 185797630448897469067134, 716295669689546229690882, 2763961537390733069713870], 220877538426991254160411908921166478988030828160739\ 6534223207297506171106234007389582946171999003984550442145087116849091724059282\ 7117262356443251958477000956932283014294280512816350357068968718272620312941090\ 7194873748933300359893546596879944501046718568591520151366770068478836549938250\ 4754491880654813053871723456251531615812049759375772196049564206211248277744351\ 8354520661522779096905998694839968783083920815948832065792610396635752363848962\ 1846695912549013131205867667051749838888462609610382254828202458948925357654911\ 8197975083092160384028727218836991730840065300529844636282691712028630] ---------------------------- (A,B)= , {5}, {1, 3, 4, 5} [P^2*x^9-2*P^2*x^8+2*P^2*x^7+2*P*x^8-P^2*x^6-2*P*x^7-3*P^2*x^5+2*P*x^6+x^7+P*x^ 5+5*P^2*x^3-4*P*x^4+x^5+2*P^2*x^2-6*P*x^3+2*x^4-4*P^2*x+x^3+P^2+6*P*x-x^2-2*P-2 *x+1, (-C*x^4-x^2-x+1)/((x^5-x^4)*C+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+ 502*n-408)*a(n-1)+(416*n^2-3544*n+5184)*a(n-2)+(-1053*n^2+10839*n-22080)*a(n-3) +(898*n^2-11378*n+29904)*a(n-4)+(823*n^2-9347*n+25392)*a(n-5)+(-1347*n^2+19845* n-67872)*a(n-6)+(-778*n^2+10394*n-35760)*a(n-7)+(995*n^2-18325*n+81792)*a(n-8)+ (939*n^2-10329*n+19848)*a(n-9)+(-888*n^2+7140*n+12216)*a(n-10)+(129*n^2+4335*n-\ 56568)*a(n-11)+(-70*n^2+1844*n-16080)*a(n-12)+(-15*n^2-2541*n+34752)*a(n-13)+( 89*n^2-2629*n+20616)*a(n-14)+(50*n^2-478*n-3288)*a(n-15)+(-194*n^2+5878*n-44568 )*a(n-16)+(197*n^2-6217*n+48960)*a(n-17)+(-126*n^2+4098*n-33192)*a(n-18)+20*(2* n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a( 6) = 46, a(7) = 106, a(8) = 247, a(9) = 579, a(10) = 1370, a(11) = 3275, a(12) = 7935, a(13) = 19555, a(14) = 49249, a(15) = 127434, a(16) = 340684, a(17) = 945660, a(18) = 2734325, a(19) = 8242072}, [1, 2, 4, 9, 20, 46, 106, 247, 579, 1370, 3275, 7935, 19555, 49249, 127434, 340684, 945660, 2734325, 8242072, 25850814, 84024495, 281545401, 967196220, 3389333458, 12064354077, 43472851857, 158173007893, 579965665740, 2139926305507, 7936940067963, 29567382823361, 110563047340213, 414798137966414, 1560735774734897, 5887837491298908, 22264235222236691, 84371305603554720, 320361186039722308, 1218644164445908885, 4643528010520703946, 17721581382736819538, 67732156223998585742, 259229767735025037707, 993426906066549097051, 3811667663606042633326, 14641722380788754494173, 56304086178424628623139, 216737038254515431855614, 835119693770595677458519, 3220812100366705283368754], 2529885009202271642259146\ 4825969426735307315036303293005714204202398966210275237240726128090867287216458\ 0883602961348156880551515996651421636268408565039144110128009079034477619137115\ 7171002711779500648201680595933336408448067896743611918575460394917691190529479\ 5915997109225939595892563855520955006051589431696623053928388120823788187525716\ 6522606798603346861200176573994142618550877341595082846893870367199745531839941\ 0078473997244516075801801183052101011028940318753374946225636160208936418339053\ 0452414607728500747161542512572152775382206972179327429164482866029804893889811\ 88830548135306056] ---------------------------- (A,B)= , {5}, {2, 3, 4, 5} [P^2*x^9-2*P*x^9+P^2*x^7+x^9+2*P^2*x^6-2*P*x^7+4*P^2*x^5-4*P*x^6+x^7+4*P^2*x^4-\ 7*P*x^5+2*x^6+2*P^2*x^3-6*P*x^4+3*x^5+2*P^2*x^2-2*P*x^3+2*x^4-4*P^2*x+P^2+6*P*x -x^2-2*P-2*x+1, (C*x^5+x^3+x^2+x-1)/(C*x^5+x^3+x^2+2*x-1), {-5*n*(n-5)*a(n)+(74 *n^2-502*n+408)*a(n-1)+(-416*n^2+3544*n-5184)*a(n-2)+(1072*n^2-10970*n+22272)*a (n-3)+(-1133*n^2+13513*n-34320)*a(n-4)+(174*n^2-1950*n+4632)*a(n-5)+(-119*n^2+ 865*n-1044)*a(n-6)+(423*n^2-8523*n+39048)*a(n-7)+(598*n^2-9074*n+34056)*a(n-8)+ (71*n^2+101*n-7560)*a(n-9)+(-208*n^2+8678*n-66912)*a(n-10)+(-363*n^2+3099*n+ 11808)*a(n-11)+(-294*n^2+12228*n-107472)*a(n-12)+(48*n^2-2694*n+29388)*a(n-13)+ (60*n^2-2424*n+22848)*a(n-14)+(99*n^2-4497*n+45588)*a(n-15)+(154*n^2-6050*n+ 57432)*a(n-16)+84*(n-17)*(n-20)*a(n-17)+12*(7*n-116)*(n-18)*a(n-18)-6*(5*n-76)* (n-19)*a(n-19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a( 4) = 13, a(5) = 33, a(6) = 85, a(7) = 219, a(8) = 565, a(9) = 1461, a(10) = 3786, a(11) = 9837, a(12) = 25642, a(13) = 67111, a(14) = 176546, a(15) = 467476, a(16) = 1248218, a(17) = 3368577, a(18) = 9213722, a(19) = 25624460, a( 20) = 72714866}, [1, 2, 5, 13, 33, 85, 219, 565, 1461, 3786, 9837, 25642, 67111 , 176546, 467476, 1248218, 3368577, 9213722, 25624460, 72714866, 211273625, 630413299, 1935806358, 6121869483, 19924636984, 66606146209, 228028484456, 796806507031, 2832255613695, 10208742667409, 37213652750226, 136885554809140, 507185945849786, 1890287760770854, 7079032752865762, 26616295500643639, 100409458157217637, 379877529154435183, 1440755991470538705, 5476287745274400620, 20855881181302199344, 79567268878632758112, 304043682403923829565, 1163526873786633393683, 4458694282797493643680, 17107576719905435849638, 65717771425324127872647, 252731260208102829315927, 972945808199269278512524, 3749268251801249681971441], 2872632079573384528337390\ 5205743324894762507237328986025092845010768300536958211407967083774649987970672\ 7478820102261776586110119883700577319799850485009356411695435082048449005775152\ 6831863379579044104481175155846551905628246370102026993768748671946613944286208\ 8612050408585019243491112661667583588442628155606454941985484974641517777077756\ 6731452237450392797371380550031816083250820427603883867862967844384028884730936\ 8271719360520955632705736772310276227538887029319446455516491951054651485553340\ 0199306362349236498794519390495740335104660785657549165226038580816037364957021\ 18063222515729247] ---------------------------- (A,B)= , {5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^9+2*P^2*x^8+3*P^2*x^7+4*P^2*x^6+3*P^2*x^5+P^2*x^4+P*x^5+2*P*x^4 -P^2*x^2+2*P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^6+x^4+x^3+x^2+x-1), { -5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-206*n^2+1804*n-2604)*a(n-2)+(240*n^2 -2550*n+5112)*a(n-3)+(57*n^2-555*n+1140)*a(n-4)+(-65*n^2+955*n-2904)*a(n-5)+(-\ 77*n^2+1429*n-5352)*a(n-6)+(-212*n^2+3034*n-10308)*a(n-7)+(-196*n^2+2000*n-4332 )*a(n-8)+(65*n^2-1741*n+8628)*a(n-9)+(221*n^2-4273*n+18996)*a(n-10)+(282*n^2-\ 5520*n+25392)*a(n-11)+(366*n^2-6006*n+25536)*a(n-12)+(65*n^2-2401*n+15240)*a(n-\ 13)+(136*n^2-2408*n+10944)*a(n-14)+(70*n^2-1280*n+5916)*a(n-15)+(34*n^2-644*n+ 3024)*a(n-16)+(23*n^2-493*n+2628)*a(n-17)+2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 15, a(6) = 30, a(7) = 59, a(8) = 117, a (9) = 234, a(10) = 475, a(11) = 982, a(12) = 2091, a(13) = 4642, a(14) = 10904, a(15) = 27462, a(16) = 74677, a(17) = 218719, a(18) = 682744}, [1, 2, 4, 8, 15, 30, 59, 117, 234, 475, 982, 2091, 4642, 10904, 27462, 74677, 218719, 682744, 2239536, 7616253, 26569727, 94365950, 339491823, 1233084844, 4511976820, 16608288484, 61437866975, 228240162019, 851064069718, 3183959873827, 11947139358736, 44950236584873, 169539451150925, 640904596259490, 2427862147468849, 9215012276756116, 35038845165656082, 133454321749304166, 509092728147148568, 1944910286059080468, 7440493537699271920, 28501517958739345736, 109311536089783969953, 419726303206167143954, 1613397622351176710387, 6208214296933686011213, 23912171158091150173170, 92188564108951425098690, 355730491999191113043507, 1373829468093065782533735], 1133638981924448487307727016023312977468312728819003834527318015788739662209625\ 1525317150462504241474186188898190321242174253257788104613533526416401992875089\ 1911434171645838199128331865384652754566813252432240328475694201440820153028657\ 9344582180331183701102132448172875165009934429768800063714841567406195173524665\ 9264210010910694606505752691261639219095331236323374631064305169861924199013912\ 2827805317715292703842679588773643282596418809365434211034443649757208786860570\ 8741873762492231300515017636885358425479882477970881592548600519051106210564346\ 747847741342825000526132056916243036903791] ---------------------------- (A,B)= , {1, 2}, {} [P^2*x^3+2*P^2*x^2+3*P^2*x-2*P*x^2+P^2-4*P*x-3*P+x+2, (C*x-x-1)/((x^2+x)*C-x^2- x-1), {5*(n-1)*n*a(n)-(n-1)*(7*n-36)*a(n-1)-54*(n-2)*(n-1)*a(n-2)+(-9*n^2-99*n+ 348)*a(n-3)+(54*n^2-558*n+1224)*a(n-4)+10*(n-4)*(5*n-21)*a(n-5)+12*(2*n-7)*(n-5 )*a(n-6) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 6, a(6) = 19}, [0, 0, 1, 2, 6, 19, 61, 202, 683, 2348, 8184, 28855, 102731, 368813, 1333684, 4853436, 17761181, 65320691, 241300829, 894958140, 3331323651, 12441078958, 46601721324, 175040968111, 659136721385, 2487852579751, 9410480922018, 35667266269063, 135437338519384, 515185187633072, 1962888995885257, 7490161337785610, 28622617684287782, 109525065687923287, 419633448379599729, 1609712400708367719, 6181869221288227590, 23766138410960724427, 91461996710839705220, 352325235554247008286, 1358461203781110949095, 5242422512475231564943, 20247914731362280357935, 78266428782266936507914, 302762581270996091283485, 1172049337968363646029502, 4540389106303823332882930, 17600745181071853504438211, 68272835148377794652881905, 264991860266036223754203505], 2707402735309983135132830930008358711802938857520\ 7012485318801219508287535171407529801835354037773759869173064442964192609860604\ 7758954855603776260802139196665011447091534183152254540755715211290601502853353\ 8118042316594340362095907181262581463733389867106522904048397840452453634970960\ 9917963287498962973685459633493553526857701207800782982809987725714307229012736\ 6063572652145962396833622225088784882762841822576350218931037575091380182170523\ 9424552610367168661296086653401250057857184414981984454071957672076561465920959\ 21533970170689602983909737460379987708317254240843965933699045560577715111] ---------------------------- (A,B)= , {1, 2}, {1} [P^2*x^4+2*P^2*x^2-P^2*x-2*P*x^2+P^2+P*x-2*P+1, -1/(C*x^2-x^2-1), {-(n-1)*n*a(n )+(n-1)*(11*n-24)*a(n-1)-12*(n-2)*(3*n-8)*a(n-2)+(42*n^2-180*n+168)*a(n-3)+(-39 *n^2+153*n-24)*a(n-4)+(-2*n^2+98*n-336)*a(n-5)+(-8*n^2-52*n+360)*a(n-6)-2*(n-4) *(n-6)*a(n-7)+4*(2*n-11)*(n-6)*a(n-8) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 15, a(7) = 46, a(8) = 146}, [0, 0, 1, 2, 5, 15, 46, 146, 478, 1601, 5461, 18909, 66295, 234888, 839737, 3025492, 10974568, 40046366, 146902283, 541422759, 2003906815, 7445135351, 27756686458, 103807556637, 389349890556, 1464193789255, 5519683723137, 20854841660142, 78959675239316, 299533749880137, 1138336932329736, 4333401093001624, 16522403592329745, 63090132533494558, 241243118828748442, 923673494818488466, 3540950348475963099, 13590311612165945101, 52217972121007012825, 200847538188863335557, 773296015328349147198, 2980137669614948639803, 11495246258475141466602, 44378553292960824810679, 171468243965767544390977, 663031119303227639217856, 2565717239190465482223020, 9935605158824222769022949, 38501476193668571146615422, 149295132998886263447343568], 145934110405503787859\ 0661433818194709926483197855691409550477860693417350767855210086176057831769184\ 3341038232628929965117600557286676918760547016984156402522203166929928095101610\ 0276129088149744901964530742174876243797040536935913292184677138727533668459813\ 6656312309520095533790705704605794139507926994477686139780531759766001128230358\ 8207883399639145014498623280498243537480230428272861059538063150438146219331706\ 5232109329881045908822597514896288617986920747675355194123495825729997427272586\ 3670553837016313871566103225359234089001106220929249590551580493606221963063175\ 41933289894907704741021] ---------------------------- (A,B)= , {1, 2}, {2} [P^2*x^5+2*P^2*x^4+P^2*x^3-2*P*x^4-P^2*x^2-2*P*x^3-P^2*x+P*x^2+x^3+P^2+2*P*x-2* P-x+1, (C*x^2-1)/(-1+(x^3+x^2)*C), {-2*n*(n-2)*a(n)+3*(n-1)*(7*n-22)*a(n-1)-(n-\ 2)*(67*n-279)*a(n-2)+(53*n^2-475*n+954)*a(n-3)+(41*n^2-181*n+30)*a(n-4)+(-44*n^ 2+502*n-1308)*a(n-5)+(-27*n^2-189*n+2070)*a(n-6)+(-20*n^2+220*n-1056)*a(n-7)-6* (n-7)*(n-46)*a(n-8)+12*(n-10)^2*a(n-9)+6*(7*n-61)*(n-10)*a(n-10)+12*(2*n-17)*(n -10)*a(n-11) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 8, a (7) = 22, a(8) = 66, a(9) = 205, a(10) = 659, a(11) = 2176}, [0, 0, 1, 1, 3, 8, 22, 66, 205, 659, 2176, 7338, 25175, 87600, 308438, 1096911, 3934501, 14217444, 51708228, 189133701, 695297272, 2567616546, 9520266637, 35428877301, 132284362787, 495422056737, 1860573539727, 7005279613890, 26437786566157, 99992915080063, 378956804646499, 1438883017044266, 5472952555956802, 20851091190855195, 79561319082442868, 304018865290849340, 1163288347203209907, 4456856253381250449, 17095950391798323577, 65652723572933964935, 252395084938660470309, 971300228995806201252, 3741520875601046917843, 14425943213758424529359, 55670150878817854299637, 215013056879130310699040, 831103042156988533520420, 3214970394931431167196982, 12445622846771068646936049 , 48212567692099479691344384], 451382275546012666007407818937034126166033681785\ 7156196805239383541327668765963201036446242767162378729335963151166140131240054\ 5712820015156118841383477070595454198940423764258796637926208092052388346115603\ 8884643142368985562802064954467796368781104049709070325684127353021038010178619\ 4509537067113662456127527366723479270300436904011211442668362293097746750575688\ 8355026177880796898706729984770811849711495821631669256445757269550209209391052\ 3800548340051436167123060538596806656341882820415509882685213479256384506512944\ 29429776485825802020259605443993836237101230129896285528341200209777585695] ---------------------------- (A,B)= , {1, 2}, {3} [P^2*x^7+4*P^2*x^6+7*P^2*x^5-2*P*x^6+8*P^2*x^4-8*P*x^5+2*P^2*x^3-12*P*x^4+x^5-P ^2*x^2-7*P*x^3+4*x^4-3*P^2*x+2*P*x^2+5*x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((x^3+x^2)* C+x^2+x-1)/((x^4+x^3+x^2)*C+x^3+x^2+x-1), {-3*n*(n-3)*a(n)+(n-1)*(41*n-160)*a(n -1)-2*(n-2)*(101*n-485)*a(n-2)+3*(n-3)*(133*n-780)*a(n-3)+(-144*n^2+1782*n-4812 )*a(n-4)+(-260*n^2+4026*n-13720)*a(n-5)+(-314*n^2+1272*n+4052)*a(n-6)+(461*n^2-\ 7833*n+31720)*a(n-7)+(373*n^2-3243*n+308)*a(n-8)+(-62*n^2+5052*n-38452)*a(n-9)+ (-66*n^2+2040*n-11016)*a(n-10)+(450*n^2-11136*n+67500)*a(n-11)+(762*n^2-18264*n +108960)*a(n-12)+(571*n^2-13611*n+81068)*a(n-13)+6*(39*n-448)*(n-13)*a(n-14)+20 *(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 39, a(8) = 112, a(9) = 331, a(10) = 1003, a(11) = 3113, a(12) = 9880, a(13) = 32007, a(14) = 105643, a(15) = 354601}, [0, 0, 1, 2, 5, 14, 39, 112, 331, 1003, 3113, 9880, 32007, 105643, 354601, 1208270, 4172354, 14578744, 51472674, 183406782, 658819553, 2383534682, 8678142939, 31774394509, 116925650784, 432212510494, 1604145435618, 5975566548178, 22333444386343, 83723006547708, 314726753793068, 1186105004777076, 4480492656499292, 16961491394066725, 64338208448100174, 244500043517071602, 930762180316270792, 3548939683198484178, 13552322454810838673, 51825486807352871879, 198449795762758093347, 760854900862694020424, 2920560190280451957851, 11223166249899416762856, 43174132726635235650792, 166252031914223582615760, 640801284676451642582017, 2472136619352932700165419, 9545426611759688346702318, 36887094187222154415663760], 31293749737903669336591659136316152508135821432536\ 5954559959737458821874566716300598214501341213648061371129245860838071837801047\ 4387962875547772534485431509375959630335114273688977198720971369951768955144322\ 9426937576139617936922025123926075511626557967108734208644113809202067794957224\ 9224461651934503113033137834183273758662225517770674336786136790748887548140622\ 4405986821062585234980135508939133835703676475182621102683976688246028134524852\ 4210903181664893313236791107876203675486754333062742665195897189489069665365205\ 008162074604230082384103671969651460851593546987678647685779524326801658] ---------------------------- (A,B)= , {1, 2}, {4} [P^2*x^6+2*P^2*x^5+6*P^2*x^4-2*P*x^5+4*P^2*x^3-7*P*x^4+4*P^2*x^2-10*P*x^3+x^4-5 *P^2*x-8*P*x^2+6*x^3+P^2+10*P*x+4*x^2-2*P-5*x+1, (C*x^2+x^2+2*x-1)/(C*x^2+x^3+x ^2+2*x-1), {-4*n*(n-4)*a(n)+3*(n-1)*(23*n-110)*a(n-1)-3*(n-2)*(157*n-873)*a(n-2 )+(1577*n^2-14765*n+30090)*a(n-3)+(-2513*n^2+28193*n-72402)*a(n-4)+(1272*n^2-\ 16248*n+48648)*a(n-5)+(308*n^2-8222*n+39972)*a(n-6)+(1001*n^2-10469*n+22758)*a( n-7)-8*(25*n-214)*(4*n-39)*a(n-8)+(-649*n^2+12793*n-59994)*a(n-9)+(-506*n^2+ 8894*n-39204)*a(n-10)+(-132*n^2+2220*n-8976)*a(n-11)+(-18*n^2+324*n-1392)*a(n-\ 12)+4*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 6, a(6) = 18, a(7) = 54, a(8) = 165, a(9) = 510, a(10) = 1594, a(11) = 5036, a(12) = 16077, a(13) = 51851}, [0, 0, 1, 2, 6, 18, 54, 165, 510, 1594, 5036, 16077, 51851, 168916, 555750, 1846340, 6192752, 20965025, 71619014, 246800351, 857618327, 3004036971, 10602311957, 37687196624, 134863778150, 485640864615, 1759003423608, 6405726320001, 23444799220332, 86205763588062, 318333902802102, 1180162808061101, 4391164075109607, 16393545842457554, 61391548438488174, 230559688143840263, 868166484502884655, 3277039840584326998, 12397711008093512323, 47001480463443540785, 178536687476623323503, 679408344120934575886, 2589814399417179511089, 9887635897788209161925, 37805794760270361035634, 144752566284025850977027, 554957298927577848512330, 2130221677136105197602092, 8186369189670492119092329, 31494233275052492447162322], 23023122792626764703214634415821719797816469507058\ 8450702734357918793402762604675105199911408710969294586641059412508100863664381\ 2544103730984055835586861942603443160289140534944096718202720160035265874579874\ 5994642444725654139690080781346567373995867124599330866224837151361630146642013\ 3468116998296104060572119804231585396148200904395134264366269500710743729679625\ 9867538380967597057856523764806216455423445567387560632932110652332098178213081\ 3808788053853696215021543618357243078408243490448884531843846012338891175247176\ 720827153769975087052676702317761724073507271527087971559181060064926025] ---------------------------- (A,B)= , {1, 2}, {5} [P^2*x^9+4*P^2*x^8+4*P^2*x^7-2*P*x^8+P^2*x^6-8*P*x^7-11*P^2*x^5-4*P*x^6+x^7-2*P ^2*x^4+11*P*x^5+4*x^6-P^2*x^3+14*P*x^4+13*P^2*x^2-12*x^4-7*P^2*x-26*P*x^2+x^3+P ^2+14*P*x+13*x^2-2*P-7*x+1, ((x^4+x^3-x^2)*C+x^3-3*x+1)/((x^5+x^4+x^3-x^2)*C+x^ 4-3*x+1), {-5*n*(n-5)*a(n)+15*(n-1)*(7*n-40)*a(n-1)-10*(n-2)*(92*n-591)*a(n-2)+ (4312*n^2-43718*n+92316)*a(n-3)+(-11420*n^2+135526*n-358884)*a(n-4)+(16203*n^2-\ 220101*n+692100)*a(n-5)+(-9611*n^2+141457*n-491436)*a(n-6)+(1119*n^2+9639*n-\ 142968)*a(n-7)+(-6105*n^2+60471*n-73800)*a(n-8)+(8422*n^2-142562*n+596628)*a(n-\ 9)+(710*n^2+3152*n-120144)*a(n-10)+(-1061*n^2+25153*n-115176)*a(n-11)+(-2083*n^ 2+29459*n-64764)*a(n-12)+(-106*n^2-3724*n+47616)*a(n-13)+(-205*n^2+12185*n-\ 126096)*a(n-14)+(-195*n^2+9345*n-92940)*a(n-15)+(228*n^2-7098*n+55536)*a(n-16)+ (419*n^2-13279*n+105120)*a(n-17)+6*(39*n-604)*(n-17)*a(n-18)+20*(2*n-31)*(n-18) *a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 6, a(6) = 19, a(7) = 60, a(8) = 193, a(9) = 627, a(10) = 2052, a(11) = 6759, a(12) = 22390, a(13) = 74559, a(14) = 249518, a(15) = 839043, a(16) = 2834659, a(17) = 9621098, a(18 ) = 32805098, a(19) = 112368548}, [0, 0, 1, 2, 6, 19, 60, 193, 627, 2052, 6759, 22390, 74559, 249518, 839043, 2834659, 9621098, 32805098, 112368548, 386663818, 1336621249, 4641624139, 16192629094, 56747464295, 199778595677, 706498985935, 2509662456965, 8954378256586, 32087881479277, 115476961049451, 417307225939437, 1514171570169495, 5515699969472531, 20168626367541165, 74018909236569534, 272607475312739357, 1007390535757038203, 3734722101546949359, 13888456968113265514, 51798863567064980780, 193728304894236079919, 726457030020504192566, 2730925706763068191204, 10290442745484478869470, 38862062026255490586893, 147072357685025911490931, 557696725225597566296578, 2118741532716534935381384, 8063514666315938603441837, 30739273279376559538472701], 17692528012975747717822008935128968385489801773160\ 2586914577221933480436984017318777316068976303804634034796104073666156919084195\ 2805053348307866328751405568265392313907108815177824006650477647758974344726012\ 3564040289299620350119245713439191644927406982250866043864747873660069517685245\ 3789561050472913674075453792090986322249143163077046759266569862232679207777746\ 7913021869503343100275010694436769674195245783627748945975936585496853796864251\ 6073636123970395176284161116029311825126859803115853254442929542593853641740495\ 182625395300906291105282178842447424857873834681412776862421758979706325] ---------------------------- (A,B)= , {1, 2}, {1, 2} [P^2*x^5-P^2*x^2+P*x^2+P^2-2*P+1, -1/(C*x^3-1), {-2*n*(n-2)*a(n)+6*(n-1)*(3*n-\ 10)*a(n-1)-2*(n-2)*(19*n-90)*a(n-2)+(-19*n^2+89*n-90)*a(n-3)+(44*n^2-310*n+516) *a(n-4)-(n+10)*(n-3)*a(n-5)+(14*n^2-28*n-96)*a(n-6)-20*(n-2)*(2*n-9)*a(n-7)-(n-\ 6)*(n-5)*a(n-8)+2*(n-6)*(2*n-13)*a(n-9) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 16, a(8) = 47, a(9) = 147}, [0, 0, 1, 1, 2, 6, 16, 47, 147, 474, 1571, 5320, 18320, 63959, 225858, 805288, 2894978, 10481813, 38188689, 139900745, 515022101, 1904268957, 7068660708, 26332347288, 98411323603, 368876938837, 1386411201970, 5223754679581, 19727431926834, 74658894271982, 283106506738357, 1075514699721380, 4092869254151080, 15600423307021455, 59552275236927296, 227653447212526208, 871420802686936680, 3339846072865676390, 12815618765240368717, 49231098122250491458, 189321828105034543909, 728785049049539355168, 2808109024308660976339, 10829888021922197120471, 41803307838090854444121, 161494045398902514237262, 624374642382038008176993, 2415803790451841926514643, 9353873465893289201102842, 36242774239804797958500012], 34226634653202472637875921091411244688655320614640\ 7070406668413278548522764793980587477943083506233385517164158425958107759068650\ 5479346665061038797265714766247988442470318375758813360907912625076779274375374\ 0653762782514874846475376727134296023957005116353524562171608314807124522699060\ 0716588438018589572523177775112280595809724655569505565275418724930273742793034\ 3929352123156195613442524923025553453213101779081413927976856585717838635930093\ 7514274901469687126544828629788069831393613631203479993974040836646483321969948\ 516670526338922630236876610493268839119807893482794616985587252996313030] ---------------------------- (A,B)= , {1, 2}, {1, 3} [P^2*x^7+2*P^2*x^6+2*P^2*x^5+4*P^2*x^4-2*P*x^5-2*P^2*x^3-4*P*x^4+2*P^2*x^2+P*x^ 3-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/((x^4+x^2)*C+x^3+x -1), {-3*n*(n-3)*a(n)+(n-1)*(41*n-160)*a(n-1)-2*(n-2)*(107*n-500)*a(n-2)+6*(n-3 )*(91*n-480)*a(n-3)+(-767*n^2+7257*n-16744)*a(n-4)+(761*n^2-7227*n+17080)*a(n-5 )+(-744*n^2+7128*n-16080)*a(n-6)+(497*n^2-6027*n+18352)*a(n-7)+(-156*n^2+2514*n -11760)*a(n-8)+(94*n^2-1434*n+5888)*a(n-9)+(-6*n^2+942*n-6912)*a(n-10)+(41*n^2-\ 1383*n+9352)*a(n-11)+(46*n^2-1038*n+5840)*a(n-12)+10*(n-11)*(5*n-56)*a(n-13)+12 *(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 10, a(7) = 26, a(8) = 70, a(9) = 198, a(10) = 585, a(11) = 1794, a(12) = 5682, a(13) = 18496, a(14) = 61606}, [0, 0, 1, 2, 4, 10, 26, 70, 198, 585, 1794 , 5682, 18496, 61606, 209164, 721600, 2523063, 8922183, 31855926, 114680772, 415804234, 1517014488, 5565023934, 20513969345, 75946943648, 282264619872, 1052747110708, 3938874368542, 14780141749768, 55607978476380, 209727026043475, 792771888548585, 3002933712585489, 11396775221585703, 43331014836915472, 165022888664810368, 629463976518012220, 2404563984933323197, 9198179024896314292, 35231585375229945103, 135112369882088509220, 518753599047669114002, 1993898804948113275792, 7671779707292573659022, 29547253729401190908639, 113905528809688886239751, 439500558846907577586004, 1697237709966100087258932, 6559601798359977145719824, 25371605723457628620489818], 22267639816163305937009917535092379235013800298221\ 5907158350487643435568867967300531896529418367139969685465064281562571465718532\ 8891201684909589686169961258947023483307827744189416137732490589774694668441269\ 9711861647872601002299976785351182591319085367860565625159919329621459998115897\ 5970010949670209242177736290873238925392021279655590793666996522866398466208182\ 4033002442752681004331481221978675552728169015211496082160188678011013689610928\ 0716091357483655990376459344446955035194217960410857997492869924316354744137625\ 786943811635558926155892197213276750828406454917441895244490748790433373] ---------------------------- (A,B)= , {1, 2}, {1, 4} [P^2*x^6+5*P^2*x^4-P^2*x^3-5*P*x^4+6*P^2*x^2-5*P^2*x-12*P*x^2+x^3+P^2+10*P*x+6* x^2-2*P-5*x+1, (C*x^2+2*x-1)/(C*x^2+x^3+2*x-1), {4*n*(n-4)*a(n)-3*(n-1)*(23*n-\ 110)*a(n-1)+21*(n-2)*(23*n-127)*a(n-2)+(-1756*n^2+16192*n-32760)*a(n-3)+(3533*n ^2-38291*n+96474)*a(n-4)+(-3992*n^2+48344*n-141144)*a(n-5)+(2947*n^2-36043*n+ 108570)*a(n-6)+(-2359*n^2+29179*n-87570)*a(n-7)+(1539*n^2-21897*n+77934)*a(n-8) +(-433*n^2+5437*n-16710)*a(n-9)+(340*n^2-5530*n+22740)*a(n-10)-5*(n-10)*(n-9)*a (n-11)+10*(n-10)*(2*n-21)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 39, a(8) = 111, a(9) = 323, a(10) = 958, a(11) = 2895, a(12) = 8910}, [0, 0, 1, 2, 5, 14, 39, 111, 323, 958, 2895, 8910, 27914, 88966, 288254, 948666, 3168319, 10727013, 36779073, 127564155, 447101171, 1581961057, 5645337430, 20300737381, 73505458874, 267797105094, 981062284926, 3612008218628, 13358196004202, 49602653132769, 184864634045909, 691271160154903 , 2592746559076254, 9751587411266656, 36770033997889216, 138972069666242023, 526377199202762494, 1997710534210004475, 7595762671100897864, 28930600908612049455, 110367281406513616372, 421671843835902160960, 1613314803881340605609, 6180684894450509227297, 23707902365373227792887, 91045346035594199486027, 350027489491273367214933, 1347101656497171770314645, 5189535984536062061287650, 20010807912193379618361601], 15673816741464469441396\ 6902280355107001862847624657191445678083938423012998608865273861274499215768634\ 3601741821496421547216494786203581299090725494683415579590584490315636926045609\ 6440599565065320047472992676773279791049645000922289146892829560016770736549706\ 6792723850692269142628368631793600768531100899805579150720088792873707221469939\ 4985971387063618813422898517508761073870880594522639185581933341154400461637459\ 6042927750126322645083607884382152546511479086391631141910623762978554739123696\ 7133378201347908265232638932651855772858104193239747677951134580419872742663169\ 18792924898938388699] ---------------------------- (A,B)= , {1, 2}, {1, 5} [P^2*x^9+2*P^2*x^8-P^2*x^7+3*P^2*x^6-2*P*x^7-12*P^2*x^5-2*P*x^6+10*P^2*x^4+11*P *x^5-11*P^2*x^3-10*P*x^4+x^5+15*P^2*x^2+20*P*x^3-7*P^2*x-30*P*x^2-9*x^3+P^2+14* P*x+15*x^2-2*P-7*x+1, ((x^3-x^2)*C+x^2-3*x+1)/((x^5+x^3-x^2)*C+x^4-x^3+x^2-3*x+ 1), {-5*n*(n-5)*a(n)+15*(n-1)*(7*n-40)*a(n-1)-18*(n-2)*(52*n-333)*a(n-2)+(4616* n^2-46462*n+97812)*a(n-3)+(-13808*n^2+161230*n-423492)*a(n-4)+(26176*n^2-344426 *n+1064388)*a(n-5)+(-33274*n^2+475790*n-1645416)*a(n-6)+(32782*n^2-487382*n+ 1784256)*a(n-7)+(-29597*n^2+454867*n-1726644)*a(n-8)+(22144*n^2-363926*n+ 1485300)*a(n-9)+(-12059*n^2+213991*n-963528)*a(n-10)+(6218*n^2-117328*n+574332) *a(n-11)+(-2780*n^2+58672*n-315072)*a(n-12)+(437*n^2-15853*n+120336)*a(n-13)+(-\ 156*n^2+7536*n-68520)*a(n-14)+(28*n^2-1520*n+14832)*a(n-15)+(4*n^2+100*n-2064)* a(n-16)+6*(7*n-103)*(n-16)*a(n-17)+12*(n-16)*(2*n-29)*a(n-18) = 0, a(1) = 0, a( 2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 15, a(7) = 45, a(8) = 137, a(9) = 424, a(10) = 1327, a(11) = 4193, a(12) = 13367, a(13) = 42972, a(14) = 139269, a(15) = 454956, a(16) = 1497915, a(17) = 4970257, a(18) = 16619590}, [0, 0, 1, 2, 5, 15, 45, 137, 424, 1327, 4193, 13367, 42972, 139269, 454956, 1497915, 4970257, 16619590, 55999646, 190125499, 650341638, 2240949642, 7777524786, 27182227053, 95645698664, 338745394867, 1207229678259, 4328011342722, 15604040486861, 56558936913373, 206037119349751, 754111490422344, 2772299813653013, 10233691779703849, 37921912599022620, 141025690455232663, 526195641052344263, 1969404894704783692, 7392072126808194720, 27819690571821417154, 104957012555091178097, 396888224992508142937, 1504018285954542568051, 5710871595154098163110, 21724888656260779496923, 82787544750007339128597, 315991660488595558119029, 1207937421665052483235411, 4624132188012288352591235, 17725368262490787155296695], 11657965660483404088647\ 0528646459596778071891604571713521707516322522074491549775377931822907691970201\ 6166853743930129461789235116699025797715414413919491118893397950030357965435991\ 0662941580602411067793199543286890825692041343680260256944835739879578652179978\ 5043863915388824491928660002617191491467251262853850606894356792066006337665772\ 1725812971426285839022526794188184193376445266571386001837561355603401603020957\ 9301164175561479812086332217695364514661044108685820942682137048946649493643745\ 7661265316727401349762664309808719663337136696334334070542689014321225163487529\ 21639329111657375188] ---------------------------- (A,B)= , {1, 2}, {2, 3} [P^2*x^7+4*P^2*x^6+5*P^2*x^5-2*P*x^6+2*P^2*x^4-6*P*x^5-3*P^2*x^3-4*P*x^4+x^5-3* P^2*x^2+3*P*x^3+2*x^4+6*P*x^2+P^2-3*x^2-2*P+1, (C*x^3+x^2-1)/((x^4+x^3)*C+x^3+x ^2-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-2*(n-2)*(22*n-139)*a(n-2)-9*(n -3)*(11*n-48)*a(n-3)+(146*n^2-1704*n+4516)*a(n-4)+(292*n^2-2538*n+5204)*a(n-5)+ (-134*n^2+2448*n-9604)*a(n-6)+(-405*n^2+4173*n-8940)*a(n-7)+(-103*n^2-897*n+ 11740)*a(n-8)+(113*n^2-1311*n+1048)*a(n-9)+(-32*n^2+3336*n-28624)*a(n-10)+(-40* n^2+1830*n-13988)*a(n-11)+(244*n^2-5808*n+34592)*a(n-12)+(377*n^2-9069*n+54460) *a(n-13)+(210*n^2-5190*n+31920)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 11, a(8) = 28, a(9) = 77, a(10) = 224, a(11) = 688, a(12) = 2200, a(13) = 7255, a(14) = 24504, a(15 ) = 84319}, [0, 0, 1, 1, 2, 5, 11, 28, 77, 224, 688, 2200, 7255, 24504, 84319, 294476, 1040883, 3716054, 13378544, 48512663, 177012658, 649413575, 2394043787, 8863575974, 32942820245, 122864103287, 459687083563, 1724852880079, 6489170852919, 24472682307596, 92501292574483, 350360970820539, 1329599922753833, 5054822974793704, 19249471186971324, 73419725265094013, 280443530345322305, 1072700040766713563, 4108433443828803177, 15754593400909587801, 60484166383669498909, 232462397215714488307, 894366090145575503118, 3444344135360268702424, 13277156320133799245201, 51226088155024732950326, 197809245146262244472367, 764459000541777347302046, 2956637893906242047018498, 11443623748054987052930088], 10326233048713148358626\ 0961062218843507204440422998253183705505547310296769796911260492169908614958825\ 1603259539344504651267502003028621741339674437840551766984814783216142467532798\ 6058517695381760959853523899590343238854930557205627526072551357934567857303656\ 9333875077042131232358931228289133395547643732784632616194646598337979621009893\ 1346771449174734768390488186054582708069779249875054577970052233029505134728597\ 5210154632347189485556263744734823009010108860543560759738765888359706533611386\ 3220276138119023190685404467645090721649826301818272128024146659781481875730676\ 99385402224861503097] ---------------------------- (A,B)= , {1, 2}, {2, 4} [P^2*x^6+2*P^2*x^5+4*P^2*x^4-2*P*x^5+2*P^2*x^3-5*P*x^4-6*P*x^3+x^4-3*P^2*x+4*x^ 3+P^2+6*P*x-2*P-3*x+1, (C*x^2+x^2+x-1)/(C*x^2+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+5* (n-1)*(11*n-54)*a(n-1)-9*(n-2)*(31*n-179)*a(n-2)+(607*n^2-5875*n+12150)*a(n-3)+ (-395*n^2+4727*n-12438)*a(n-4)+(-292*n^2+4132*n-13968)*a(n-5)+(-16*n^2-1874*n+ 12756)*a(n-6)+(549*n^2-7893*n+28014)*a(n-7)+144*(n-1)*(n-9)*a(n-8)+(-91*n^2+ 2839*n-16806)*a(n-9)-2*(19*n-166)*(5*n-51)*a(n-10)+(-86*n^2+1466*n-6036)*a(n-11 )+(-10*n^2+160*n-552)*a(n-12)+4*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0 , a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 7, a(7) = 17, a(8) = 44, a(9) = 117, a( 10) = 324, a(11) = 931, a(12) = 2771, a(13) = 8522}, [0, 0, 1, 1, 3, 7, 17, 44, 117, 324, 931, 2771, 8522, 26992, 87741, 291695, 988552, 3405291, 11893453, 42028846, 150008287, 539992782, 1958186408, 7146498259, 26227645340, 96730813676, 358319268667, 1332519770337, 4972840066697, 18617303020566, 69901256245816, 263148191087700, 993043199896199, 3755821891862338, 14234343324412825, 54050567032809988, 205605751753747474, 783412176866330432, 2989637378401829909, 11425559349933368101, 43724893597522874234, 167547299582381078584, 642793663215189472976, 2468891649847095008196, 9492967062184654913193, 36538167906886980496742, 140771156187248152509768, 542852312417059359306298, 2095228275818752810871310, 8093652871757245874026564] , 67514017743518278782500335283871892011357948544547827872296876229500191271312\ 6307386391855455213365715438529985831172156238248561034878181319902968497643252\ 8805472431265683781177955117943942573140936754157199613100142871950578381062175\ 3020765096313310421471348769064089642054557499263189604803342971477272943677745\ 8911258395240071193373024877574900643572069585059553929884613546545456141066087\ 3204491692298525558718625499864000713215093701130450594316148758241061837399426\ 9768494689899130731209887312056408858095332908791273980519888299865491757150393\ 62477220218120929733516715405141343569366594] ---------------------------- (A,B)= , {1, 2}, {2, 5} [P^2*x^9+4*P^2*x^8+2*P^2*x^7-2*P*x^8-5*P^2*x^6-6*P*x^7-10*P^2*x^5+4*P*x^6+x^7+2 *P^2*x^4+15*P*x^5+2*x^6+7*P^2*x^3+4*P*x^4-5*x^5+4*P^2*x^2-16*P*x^3-6*x^4-5*P^2* x-8*P*x^2+9*x^3+P^2+10*P*x+4*x^2-2*P-5*x+1, ((x^4-x^2)*C+x^3-x^2-2*x+1)/((x^5+x ^4-x^2)*C+x^4-x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)-12*(n-2)*( 50*n-329)*a(n-2)+(2011*n^2-20939*n+44688)*a(n-3)+(-2974*n^2+37046*n-100152)*a(n -4)+(126*n^2-3918*n+13872)*a(n-5)+(3420*n^2-57486*n+228924)*a(n-6)+(1293*n^2-\ 2007*n-59196)*a(n-7)+(-5883*n^2+97107*n-394704)*a(n-8)+(-1583*n^2+12277*n+22212 )*a(n-9)+(3846*n^2-71838*n+315336)*a(n-10)+(2527*n^2-35327*n+101160)*a(n-11)+(-\ 1079*n^2+20905*n-86676)*a(n-12)+(-836*n^2+6916*n+36648)*a(n-13)+(-205*n^2+4637* n-30168)*a(n-14)+(-417*n^2+15675*n-139164)*a(n-15)+(-242*n^2+7894*n-63840)*a(n-\ 16)+(225*n^2-7185*n+57240)*a(n-17)+(210*n^2-6870*n+56040)*a(n-18)+20*(2*n-31)*( n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 8, a(7) = 21, a(8) = 59, a(9) = 168, a(10) = 488, a(11) = 1444, a(12) = 4345, a(13 ) = 13292, a(14) = 41324, a(15) = 130521, a(16) = 418658, a(17) = 1363103, a(18 ) = 4502237, a(19) = 15074771}, [0, 0, 1, 1, 3, 8, 21, 59, 168, 488, 1444, 4345 , 13292, 41324, 130521, 418658, 1363103, 4502237, 15074771, 51126732, 175486580 , 609040461, 2135301270, 7556051218, 26963823444, 96954820823, 351022899018, 1278746569040, 4684355334685, 17246160849383, 63782162505784, 236854257663930, 882817611796317, 3301571978124249, 12385112377040547, 46590046386356171, 175710724291944873, 664239784278354587, 2516475329691685958, 9552788539922688330, 36330681694309293974, 138409443965890514340, 528147756287979219398, 2018350304895132584090, 7724090749439444123173, 29598531527067464470112, 113561377712323118602653, 436211992299215048800120, 1677422575090659262758542, 6457124713857772326883525], 476815184553592467700189\ 8135080311163861472161165041926634638695844901416893713060858936895710280496016\ 9958781445826946893089860387828240545960449446989013658289001677559425185663297\ 0269542884298147403607178221376831440209072739089555868444509910508378137447566\ 7363570887760286079688846835288213429413969744960384807586363266552782781378875\ 9539734037318962872218581985535004992223111540578649924404378524630590143597267\ 9911848947425143475079717830990812808529383948486753284794206227289404760042390\ 8478317348208956019411486745595572707600259485563875308017594770306165294984071\ 404565523139745610] ---------------------------- (A,B)= , {1, 2}, {3, 4} [P^2*x^9+4*P^2*x^8+10*P^2*x^7-2*P*x^8+15*P^2*x^6-8*P*x^7+16*P^2*x^5-18*P*x^6+x^ 7+8*P^2*x^4-24*P*x^5+4*x^6-17*P*x^4+8*x^5-4*P^2*x^2-2*P*x^3+9*x^4-2*P^2*x+8*P*x ^2+2*x^3+P^2+4*P*x-4*x^2-2*P-2*x+1, ((x^4+x^3)*C+x^3+2*x^2+x-1)/((x^5+x^4+x^3)* C+x^4+2*x^3+2*x^2+x-1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)-12*(n-2)*(15*n-\ 92)*a(n-2)+(111*n^2-1395*n+3174)*a(n-3)+(524*n^2-5636*n+14304)*a(n-4)+(-235*n^2 +4573*n-17502)*a(n-5)+(-1160*n^2+16940*n-59448)*a(n-6)+(-778*n^2+5470*n+876)*a( n-7)+(1284*n^2-27696*n+137712)*a(n-8)+(2279*n^2-36155*n+135582)*a(n-9)+(888*n^2 +396*n-90288)*a(n-10)+(-913*n^2+35707*n-271938)*a(n-11)+(-517*n^2+13561*n-79026 )*a(n-12)+(1852*n^2-56224*n+417984)*a(n-13)+(3845*n^2-112475*n+817122)*a(n-14)+ (3972*n^2-116316*n+850632)*a(n-15)+(2650*n^2-78730*n+584316)*a(n-16)+(1212*n^2-\ 36900*n+279960)*a(n-17)+6*(59*n-846)*(n-17)*a(n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 13, a(7) = 34, a( 8) = 90, a(9) = 242, a(10) = 662, a(11) = 1845, a(12) = 5249, a(13) = 15270, a( 14) = 45483, a(15) = 138811, a(16) = 434084, a(17) = 1389927, a(18) = 4550831, a(19) = 15208012}, [0, 0, 1, 2, 5, 13, 34, 90, 242, 662, 1845, 5249, 15270, 45483, 138811, 434084, 1389927, 4550831, 15208012, 51762759, 179047152, 628048078, 2229655600, 7997299556, 28937138290, 105492488012, 387061361027, 1428065949966, 5294334326001, 19710997447778, 73658737834916, 276171529443884, 1038537641022087, 3915863777722740, 14800869347460561, 56067210173991692, 212820320570339496, 809338801126629025, 3083188025602540883, 11764363481735924194, 44956037524313214325, 172034778923217009617, 659196549456384612126, 2529004315139438757766, 9713795197590867817981, 37351203907595500167574, 143770763370450772266060, 553940419562907299481808, 2136289697032999490388238, 8245968446597785756788597], 670964776797915543347831\ 4278010562827722043478976654316187759945863534207661830897440330644399901594094\ 4265557747033254037826401242577441528989533301281796020383007310540376520883668\ 3432185361028526913795153154608628475063631158536264619160747910022590058050123\ 5616824343808240181679974489442550588601942052706014403766024678149555379365760\ 0402619555822623849064419082647255645312030700411318778933827922430563039893896\ 5064500216545229879025461081435235042101589710760501480294521395413282968983571\ 2976320615547028364732085894730057622359679660897978655062443738036141215269030\ 548493735718981716] ---------------------------- (A,B)= , {1, 2}, {3, 5} [P^2*x^9+2*P^2*x^8+2*P^2*x^7-2*P*x^8-P^2*x^6-4*P*x^7-3*P^2*x^5+x^7+2*P^2*x^4+5* P*x^5+2*x^6+3*P^2*x^3+2*P*x^4-2*x^5+5*P^2*x^2-8*P*x^3-4*x^4-5*P^2*x-10*P*x^2+5* x^3+P^2+10*P*x+5*x^2-2*P-5*x+1, ((x^4+x^3-x^2)*C-x^2-2*x+1)/((x^5+x^4+x^3-x^2)* C-x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)-38*(n-2)*(16*n-105 )*a(n-2)+(2142*n^2-22128*n+47076)*a(n-3)+(-3806*n^2+46144*n-123252)*a(n-4)+( 2595*n^2-35925*n+112452)*a(n-5)+(553*n^2-11915*n+57396)*a(n-6)+(169*n^2+6649*n-\ 61872)*a(n-7)+(-2033*n^2+32143*n-123552)*a(n-8)+(-300*n^2-876*n+32604)*a(n-9)+( 1092*n^2-16338*n+51144)*a(n-10)+(293*n^2-1417*n-19224)*a(n-11)+(-135*n^2+1035*n +16524)*a(n-12)+(-286*n^2+1568*n+20424)*a(n-13)+(-57*n^2+117*n+6888)*a(n-14)+(-\ 129*n^2+4611*n-39660)*a(n-15)+(-14*n^2+592*n-5616)*a(n-16)+(107*n^2-3535*n+ 29088)*a(n-17)+2*(53*n-828)*(n-17)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 38, a(8) = 105, a(9) = 294, a(10) = 832, a(11) = 2382, a(12) = 6903, a(13) = 20263, a(14) = 60298, a(15) = 182054, a(16) = 558123, a(17) = 1738445, a(18) = 5503834, a(19) = 17713123}, [0, 0, 1, 2, 5, 14, 38, 105, 294, 832, 2382, 6903, 20263, 60298, 182054, 558123, 1738445, 5503834, 17713123, 57939050, 192524486, 649406304, 2221519779, 7698622530, 26995996653, 95674959239, 342306108020, 1235048397972, 4489329779126, 16425795046393, 60448046511279, 223591506788414, 830789218371870 , 3099340859645196, 11603846140577280, 43583941110178300, 164173667140380192, 620030197036044980, 2347203571174539269, 8904863698985250222, 33850420026380250337, 128911776694552248354, 491759378769064262021, 1878845407530373486803, 7188869148398771939855, 27543501539496751543852, 105664487152371228540991, 405841391857999605645794, 1560523626162158773148275, 6006801086699458417925049], 444257171921019243061793121027018671418648132685523\ 3160731864283673423874087413290987118350020717588819232963446581493800431153690\ 4259913986929120027694771771726962706585477306388597331941522414618197475517335\ 5641433465663453257757901327716367940079966883709841356127729348598240163692399\ 5121293387075227250611099373750656167867159749518395738105170439992243643850313\ 3098626578691074537521709754917569606824036646557043769218979628919359491152558\ 2577818406579008743388923197047199991950955460466329656286995474515535180270589\ 9795792446632363681118415174399022170923899962805440749489680849997554] ---------------------------- (A,B)= , {1, 2}, {4, 5} [P^2*x^6+6*P^2*x^5+10*P^2*x^4-7*P*x^5+8*P^2*x^3-16*P*x^4+x^5-P^2*x^2-18*P*x^3+6 *x^4-4*P^2*x+2*P*x^2+10*x^3+P^2+8*P*x-x^2-2*P-4*x+1, (C*x^3+2*x^2+2*x-1)/(C*x^3 +x^3+2*x^2+2*x-1), {5*n*(n-5)*a(n)-6*(n-1)*(13*n-76)*a(n-1)+2*(n-2)*(224*n-1509 )*a(n-2)+(-1030*n^2+11180*n-24240)*a(n-3)+(131*n^2-3205*n+10332)*a(n-4)+(2582*n ^2-35056*n+112536)*a(n-5)+(-810*n^2+17652*n-80052)*a(n-6)+(-3844*n^2+64550*n-\ 262440)*a(n-7)+(-1400*n^2+15436*n-30816)*a(n-8)+(2748*n^2-58860*n+305520)*a(n-9 )+(3544*n^2-72428*n+368472)*a(n-10)+(1670*n^2-35770*n+191688)*a(n-11)+(353*n^2-\ 8083*n+46356)*a(n-12)+14*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 6, a(6) = 18, a(7) = 53, a(8) = 158, a(9) = 473, a(10) = 1422, a(11) = 4295, a(12) = 13034, a(13) = 39753}, [0, 0, 1, 2, 6, 18, 53, 158, 473, 1422, 4295, 13034, 39753, 121900, 375988, 1167092, 3647913, 11488300, 36476244, 116835664, 377749675, 1233444512, 4069147048, 13566971600, 45721753564, 155747151058, 536170964789, 1864821502542, 6549850867855, 23219392399410, 83028880538809, 299282472718746, 1086713574475926, 3972295827358566, 14607724308159185, 54010253563460478, 200669148520748933, 748816595865070966, 2805191902265372911, 10545453881599383454, 39767399425753228878, 150387123649011105434, 570157579547259421507, 2166577602393578518866, 8250044462210066491474, 31474600770206031410464, 120286079378731048039870, 460425883874485782774256, 1764976220104101884064439, 6774929396776327336228742], 471908880887094754733006771965255976383961988859014\ 5721811969957776311726889869495973468465624745878953212167153797305233373432762\ 2008260963944586782031502089950788143437343229047021324594804696884142693576054\ 7277459464778387029322195916438523782869592958180135320587987735399477169424332\ 9107714732547668640456062095833281864789258341572397253657090268114188672417051\ 7138801514078753418190138421872957138948899084611943516161513135066595682381075\ 0674215602190461770581848106527234692203157504115730607305059112735738664548951\ 0182911770038545715445790463452561150667920582837078248723564395623008] ---------------------------- (A,B)= , {1, 2}, {1, 2, 3} [P^2*x^7+2*P^2*x^6-3*P^2*x^3+3*P*x^3+P^2-2*P+1, -1/(C*x^4+x^3-1), {-3*n*(n-3)*a (n)+2*(n-1)*(13*n-56)*a(n-1)-28*(n-2)*(2*n-11)*a(n-2)+9*n*(n-3)*a(n-3)+(-81*n^2 +459*n-504)*a(n-4)+(180*n^2-1458*n+2664)*a(n-5)-6*n*(n-3)*a(n-6)+(58*n^2-402*n+ 728)*a(n-7)+(-122*n^2+1296*n-3568)*a(n-8)-28*(n-2)*(2*n-11)*a(n-9)-6*(n-8)*(n-7 )*a(n-10)+3*(n-8)*(7*n-61)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 17, a(9) = 49, a( 10) = 150, a(11) = 477, a(12) = 1570}, [0, 0, 1, 1, 1, 3, 7, 17, 49, 150, 477, 1570, 5295, 18186, 63381, 223548, 796354, 2860966, 10353329, 37705065, 138082740, 508188210, 1878562129, 6971850354, 25967264026, 97032486568, 363661294167, 1366651480242, 5148778548688, 19442514691816, 73574598978324, 278974255159262, 1059745405651914, 4032613334772625, 15369894596127077, 58669267286071620, 224267378703912521, 858422202828815147, 3289894831699053032, 12623475549896993891, 48491298530581161026, 186470838852935590179, 717788594354972885401, 2765659826083874049083, 10665892896330477983346, 41169258849037869574629, 159040852610725914492006, 614876365305751674696694, 2379003582596798800616626, 9211202161118828412538771], 843318153163069957036043\ 6788891046271772694627024250948745738581410935149343030885927847975656839076360\ 4086127455679599893400217611298681639705470905905819482039791408609449527388606\ 7369085054326263214611104984968101229631486285586266673103804284631675223242204\ 3416730271078552540957555897812417103395821160894216913285908201819273768477433\ 8522660155296672359037867758937264242323276962572555406863564777832268927402762\ 4663655492695537808730563253875798522982495114454596881810637272929556195844789\ 1118368371724676834808897218894494407547147748763212029550821009386924518898974\ 158408898978520182] ---------------------------- (A,B)= , {1, 2}, {1, 2, 4} [P^2*x^6+3*P^2*x^4-P^2*x^3-3*P*x^4+2*P^2*x^2-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^ 2-2*P-3*x+1, (C*x^2+x-1)/(C*x^2+x^3+x-1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n -1)+3*(n-2)*(97*n-553)*a(n-2)+(-756*n^2+7080*n-14424)*a(n-3)+(1055*n^2-11369*n+ 28446)*a(n-4)+(-934*n^2+10498*n-28548)*a(n-5)+(851*n^2-9263*n+24114)*a(n-6)+(-\ 777*n^2+9417*n-27750)*a(n-7)+(421*n^2-5407*n+17538)*a(n-8)+(-225*n^2+2793*n-\ 8430)*a(n-9)+(116*n^2-1898*n+7860)*a(n-10)-3*(n-10)*(n-9)*a(n-11)+6*(n-10)*(2*n -21)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a (7) = 11, a(8) = 27, a(9) = 71, a(10) = 196, a(11) = 570, a(12) = 1732}, [0, 0, 1, 1, 2, 5, 11, 27, 71, 196, 570, 1732, 5458, 17727, 59012, 200434, 692073, 2422350, 8575284, 30649041, 110441344, 400778540, 1463322748, 5371746225, 19813592823, 73393891126, 272908388009, 1018294571033, 3811460874314, 14307094850734, 53845471689909, 203138959554352, 768073690873381, 2910091262729481, 11046903992144296, 42009515207560426, 160020827233860313, 610493072943104698, 2332482336051578389, 8923828547524276587, 34185703043579505938, 131119249962326410873, 503486567298962603250, 1935450298030274359873, 7447734460264926296609, 28687426365236587398145, 110602044980174160604642, 426795025731346435484453, 1648321843243830524237183, 6371097647932480899046697], 543253535670944614363283111480304969818629432107628\ 1453343985273262485965278027352658399652576437192117570304915104689979547124098\ 9715005983487771216304685303151070721529869661211503889251240845378312254953068\ 5445219149542307142620291374453418988292046494225168248145273147582230937197804\ 9761336339788317433271349781072662434576104312268690646455454095681593850469630\ 4483186323134618283650323597697013948553080679832034668527689878630397273157303\ 9742941359643335245726293369283921769727478939099287338330552625787954002148056\ 4926201168894688226396143446667677229034681150702347972945869250268850] ---------------------------- (A,B)= , {1, 2}, {1, 2, 5} [P^2*x^9+2*P^2*x^8-3*P^2*x^7-P^2*x^6-7*P^2*x^5+2*P*x^6+8*P^2*x^4+7*P*x^5-P^2*x^ 3-8*P*x^4+6*P^2*x^2-5*P^2*x-12*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2* x+1)/((x^5-x^2)*C+x^4-x^3-2*x+1), {5*n*(n-5)*a(n)-3*(n-1)*(29*n-168)*a(n-1)+56* (n-2)*(11*n-72)*a(n-2)+(-2273*n^2+23317*n-49464)*a(n-3)+(4678*n^2-55526*n+ 146808)*a(n-4)+(-5643*n^2+73299*n-222840)*a(n-5)+(5497*n^2-69869*n+214056)*a(n-\ 6)+(-7147*n^2+93713*n-295584)*a(n-7)+(7094*n^2-105568*n+386040)*a(n-8)+(-3479*n ^2+54187*n-215424)*a(n-9)+(2892*n^2-45126*n+184488)*a(n-10)+(-2744*n^2+48064*n-\ 213744)*a(n-11)+(482*n^2-11668*n+67344)*a(n-12)+(-74*n^2+3724*n-29784)*a(n-13)+ (262*n^2-6008*n+34344)*a(n-14)+(12*n^2+84*n-2712)*a(n-15)+(-18*n^2+396*n-2112)* a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 15, a(8) = 40, a(9) = 112, a(10) = 319, a(11) = 930, a(12) = 2774, a(13) = 8450, a(14) = 26269, a(15) = 83270, a(16) = 268860, a(17) = 883176}, [0, 0, 1, 1, 2, 6, 15, 40, 112, 319, 930, 2774, 8450, 26269, 83270, 268860, 883176, 2947814, 9984090, 34268333, 119038799, 417983159, 1481855049, 5298772108, 19092336854, 69261875211, 252790363584, 927634854427, 3420569748011 , 12668074812829, 47100654009684, 175745657187789, 657871966149976, 2469862272974538, 9297567365133235, 35086082700611127, 132704087599670109, 502970070515961916, 1910034776639280195, 7266440786004113185, 27690436378309634058, 105685919575377132082, 403961634336849465945, 1546177283146291545330, 5925687946221552797881, 22737668307775797033769, 87347584817779229709230, 335912659587916635527323, 1293145046037540923990856, 4982994446142952998947570], 379843217622596954264647542600719920480404412039439\ 7465239854114135113208163171798219558953887952647108677351192372313321634034115\ 8213423181112645027095755503363892984249848155584657353866808499306016675152407\ 7789611467909244108626745425471557039237102525487042818064731932092657815593284\ 5763116504447540273181103472231107622488395087902231796278096635666315404857318\ 8500498914141765804886974367455860428119473242036207732475613538713135350752397\ 2504715122947361192331904012915083978629343690163959303040977843007247330200559\ 5672592940843101151242551619199751783749645940629180501665689824348461] ---------------------------- (A,B)= , {1, 2}, {1, 3, 4} [P^2*x^9+2*P^2*x^8+5*P^2*x^7+5*P^2*x^6-2*P*x^7+7*P^2*x^5-4*P*x^6+P^2*x^4-8*P*x^ 5+P^2*x^3-3*P*x^4+x^5-2*P^2*x^2-4*P*x^3+2*x^4-2*P^2*x+4*P*x^2+3*x^3+P^2+4*P*x-2 *x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/((x^5+x^3)*C+x^4+x^3+x^2+x-1), {-4*n*(n-4)*a(n) +48*(n-1)*(n-5)*a(n-1)-192*(n-2)*(n-6)*a(n-2)+(230*n^2-2402*n+5124)*a(n-3)+(228 *n^2-2184*n+5232)*a(n-4)+(-497*n^2+6191*n-19026)*a(n-5)+(64*n^2+710*n-6084)*a(n -6)+(-333*n^2+1017*n+9342)*a(n-7)+(245*n^2-4151*n+17586)*a(n-8)+(447*n^2-7743*n +29730)*a(n-9)+(226*n^2-406*n-17112)*a(n-10)+(52*n^2+1784*n-22740)*a(n-11)+(24* n^2+180*n-948)*a(n-12)+(115*n^2-3397*n+25530)*a(n-13)+(340*n^2-10354*n+76632)*a (n-14)+(312*n^2-8910*n+63324)*a(n-15)+(259*n^2-7399*n+52782)*a(n-16)+2*(53*n-\ 722)*(n-15)*a(n-17)+20*(2*n-27)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 50, a(9) = 123, a(10) = 315, a(11) = 842, a(12) = 2353, a(13) = 6872, a(14) = 20917, a(15) = 66058, a(16) = 215306, a(17) = 720399, a(18) = 2462503}, [0, 0, 1, 2, 4, 9, 21, 50, 123, 315, 842, 2353, 6872, 20917, 66058, 215306, 720399, 2462503, 8564337, 30205921, 107757170, 388045813, 1408405329, 5145840844, 18908578032, 69824856745, 258969459698, 964186999263, 3602234768590, 13499980494830, 50736376191965, 191171689042953, 722025623382812, 2732910500849646, 10365030949243086, 39384468573867529, 149910575535765881, 571533955295804674, 2182272271488806152, 8344339927346747741, 31948762042496645783, 122478892664532922240, 470091884122212147967, 1806301560810946073297, 6947967661190783295717, 26752318885076830136666, 103104855722507291762464, 397731906783735050912428, 1535594151385591077102020, 5933618148407943370716884], 500856450694938072654998\ 3101605041661039221650371555981024957611060147116969230146182086726785575220773\ 3257045593410566454447084435822707499285902985337223769957273225105162230761870\ 7609957676624681313472377334043999058393393877652933441340615139534977374624818\ 6368277350544153203843971480042590693069362018178389298373931105527624278686713\ 3181070597674113996355837153191240325830665203433225420270623584322650373929435\ 2200354577653409440042097982743216289754832679988585931099996089781319276396667\ 4710385228547159943015867246042706302068474222012649394366419130137630925768763\ 802222837944571622] ---------------------------- (A,B)= , {1, 2}, {1, 3, 5} [P^2*x^9+P^2*x^7-P^2*x^6-2*P*x^7-2*P^2*x^5+2*P*x^6+4*P^2*x^4+P*x^5-3*P^2*x^3-2* P*x^4+x^5+7*P^2*x^2+4*P*x^3-2*x^4-5*P^2*x-14*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x +1, ((x^3-x^2)*C-2*x+1)/((x^5+x^3-x^2)*C-x^3-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*( 29*n-168)*a(n-1)-6*(n-2)*(104*n-679)*a(n-2)+(2390*n^2-24400*n+51660)*a(n-3)+(-\ 5318*n^2+62788*n-165636)*a(n-4)+(7152*n^2-94290*n+290340)*a(n-5)+(-6352*n^2+ 88808*n-298176)*a(n-6)+(4734*n^2-67926*n+235608)*a(n-7)+(-3001*n^2+48467*n-\ 190692)*a(n-8)+(684*n^2-17826*n+103644)*a(n-9)+(443*n^2+329*n-45504)*a(n-10)+(-\ 464*n^2+1882*n+27276)*a(n-11)+(478*n^2-3962*n-6864)*a(n-12)+(-327*n^2+3387*n+ 1152)*a(n-13)+(76*n^2-1124*n+2664)*a(n-14)+(-72*n^2+1908*n-12864)*a(n-15)+(36*n ^2-1032*n+7440)*a(n-16)+(-22*n^2+614*n-4272)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 10, a(7) = 25, a( 8) = 63, a(9) = 163, a(10) = 432, a(11) = 1172, a(12) = 3260, a(13) = 9308, a( 14) = 27298, a(15) = 82242, a(16) = 254392, a(17) = 806911, a(18) = 2619898}, [ 0, 0, 1, 2, 4, 10, 25, 63, 163, 432, 1172, 3260, 9308, 27298, 82242, 254392, 806911, 2619898, 8688433, 29361786, 100877262, 351573849, 1240469844, 4423263230, 15916040646, 57718216142, 210725016798, 773858151496, 2856471800055 , 10591472270369, 39429257176059, 147309327593293, 552120218101361, 2075365792244977, 7821648445215524, 29549174316191630, 111879267589946658, 424458928814926643, 1613381781527690166, 6143208666796167152, 23429213396237059671, 89490648269628713770, 342304823358494997646, 1311069768789442348438, 5027841334403649367881, 19304073584175765296687, 74199230026965409490434, 285500367585363167003717, 1099630372862056973478384, 4239331824950774567765378], 328559173343357211406271111421789528382426508945607\ 3948597300328732703391625789294686485820024261685858978641740314677226995956427\ 7219476875533239901867859866520144321779863978757357503778698587332678800852173\ 2633102631185619052461271804643001261950880020642564673391180577190884398319509\ 2088720708930688939953898571261201592671463677200081406409599900764003349268639\ 2113952081986266366814771640703797645998137544003688547865812296784612022764582\ 1349675283799467790618771494439858540910681992342982425024867880909567100271206\ 7166694156590224401894505454145088674570717146214687391433105896687438] ---------------------------- (A,B)= , {1, 2}, {1, 4, 5} [P^2*x^6+4*P^2*x^5+6*P^2*x^4-5*P*x^5+4*P^2*x^3-8*P*x^4+x^5+P^2*x^2-10*P*x^3+2*x ^4-4*P^2*x-2*P*x^2+6*x^3+P^2+8*P*x+x^2-2*P-4*x+1, (C*x^3+x^2+2*x-1)/(C*x^3+x^3+ x^2+2*x-1), {5*n*(n-5)*a(n)-6*(n-1)*(13*n-76)*a(n-1)+2*(n-2)*(232*n-1551)*a(n-2 )+(-1250*n^2+13216*n-28368)*a(n-3)+(1211*n^2-15373*n+41724)*a(n-4)+(556*n^2-\ 7826*n+27048)*a(n-5)+(-660*n^2+13602*n-61356)*a(n-6)+(-1278*n^2+20712*n-80352)* a(n-7)+(-518*n^2+4474*n-984)*a(n-8)+(920*n^2-19888*n+102864)*a(n-9)+(1236*n^2-\ 24816*n+124104)*a(n-10)+(644*n^2-13660*n+72576)*a(n-11)+(171*n^2-3909*n+22380)* a(n-12)+10*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 38, a(8) = 104, a(9) = 288, a(10) = 804, a(11) = 2265, a(12) = 6446, a(13) = 18550}, [0, 0, 1, 2, 5, 14, 38, 104, 288, 804, 2265 , 6446, 18550, 54044, 159610, 478452, 1457459, 4516046, 14243431, 45739086, 149525402, 497341904, 1681548431, 5772464626, 20091853460, 70804983792, 252276306620, 907557069104, 3292469120583, 12032148552854, 44250873587521, 163643569762154, 608091042859149, 2269194734206158, 8499429526711110, 31940248641818128, 120382050733172648, 454913124914640524, 1723164137630409605, 6541250860132078702, 24879919569653624859, 94802622052758883942, 361837350149301146091, 1383165888216609151230, 5294873401239995249884, 20296228696967359490972, 77896181916724408205931, 299312287924925117916770, 1151357792889736267907646, 4433494243885138266881532], 332229690148509341521521\ 3894556035615260325379398405070628747057588667417656583129757703591863248670702\ 4933162106332216189343259138793034368490507026387010896968029538464568125425276\ 9261247635413393431878806433036012849773462377029935923867934484432628208710658\ 2792424545860543785904612646154455489068271686110764395311319232416249985877939\ 4143527926992698269941883285119407007116416842275809449188809726233205741629928\ 9045287993570930453555317689415704918597421016763048429742837345816928885613609\ 2380243082735170531439575826143728429959856938945399239311648488012199024944600\ 853594219299489806] ---------------------------- (A,B)= , {1, 2}, {2, 3, 4} [P^2*x^9+4*P^2*x^8+8*P^2*x^7-2*P*x^8+9*P^2*x^6-6*P*x^7+5*P^2*x^5-10*P*x^6+x^7-2 *P^2*x^4-8*P*x^5+2*x^6-5*P^2*x^3+P*x^4+3*x^5-2*P^2*x^2+8*P*x^3+x^4+4*P*x^2-3*x^ 3+P^2-2*x^2-2*P+1, (C*x^4+x^3+x^2-1)/((x^5+x^4)*C+x^4+2*x^3+x^2-1), {-4*n*(n-4) *a(n)+2*(n-1)*(17*n-90)*a(n-1)-60*(n-2)*(n-7)*a(n-2)+(-80*n^2+740*n-1512)*a(n-3 )+(14*n^2-650*n+2508)*a(n-4)+(415*n^2-4873*n+13710)*a(n-5)+(340*n^2-2740*n+3864 )*a(n-6)-3*(13*n-83)*(11*n-114)*a(n-7)+(-1013*n^2+13331*n-41418)*a(n-8)+(-500*n ^2+2948*n+10104)*a(n-9)+(466*n^2-11164*n+59916)*a(n-10)+(553*n^2-5503*n-6870)*a (n-11)+(7*n^2+9509*n-109170)*a(n-12)+(-75*n^2+7419*n-78126)*a(n-13)+(687*n^2-\ 18237*n+122862)*a(n-14)+(1428*n^2-41736*n+305064)*a(n-15)+(1427*n^2-42731*n+ 319542)*a(n-16)+(866*n^2-26594*n+203388)*a(n-17)+(314*n^2-9914*n+77652)*a(n-18) +28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 17, a(9) = 39, a(10) = 97, a(11) = 261, a(12) = 755, a(13) = 2317, a(14) = 7441, a(15) = 24719, a(16) = 84197, a(17) = 292216, a(18) = 1028876, a(19) = 3664056}, [0, 0, 1, 1, 2, 4, 8, 17, 39, 97, 261, 755, 2317, 7441, 24719, 84197, 292216, 1028876, 3664056, 13169690, 47701587, 173913516, 637664219, 2349658138, 8696110589, 32310976110, 120478479463, 450669936840, 1690725655151, 6359828479077, 23981769314233, 90635379659805, 343258806175772, 1302530053942249, 4951509293690913, 18854664670958988, 71909146323975631, 274657069688597721, 1050509327271551150, 4023241784554998400 , 15427199863460581617, 59224745502436709237, 227613076541290811845, 875677242019137656597, 3372256781922483846299, 12998868161965952255513, 50150924683989137988254, 193652204755066390076371, 748374389430424501446357, 2894359013449270255804565], 252923609588275386249600074617976227145180321840328\ 1091805261887864109106641892062701796454590894241241952348588177340207480424691\ 5232441957990145080147367496030647747112204278038870504020662164194509904370836\ 3523752598981570698257175238710450027980519387839033033794157886454052262327048\ 8077917933157116336096378798128976059063306052753392348579271918769894141768274\ 9064931274807058033095066727383264901029035639837285998705774278566159855169899\ 2164373702233809032760614103736687009239471031727204034734242884825761320648221\ 8821177168369144746238609123086823539337646989802186767001927060187156] ---------------------------- (A,B)= , {1, 2}, {2, 3, 5} [P^2*x^9+2*P^2*x^8-2*P*x^8-3*P^2*x^6-2*P*x^7-2*P^2*x^5+4*P*x^6+x^7+4*P^2*x^4+5* P*x^5+3*P^2*x^3-4*P*x^4-3*x^5-8*P*x^3-3*P^2*x+5*x^3+P^2+6*P*x-2*P-3*x+1, ((x^4- x^2)*C-x^2-x+1)/((x^5+x^4-x^2)*C-x^3-x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-\ 136)*a(n-1)-4*(n-2)*(88*n-597)*a(n-2)+(763*n^2-8171*n+17616)*a(n-3)+(-412*n^2+ 5516*n-15096)*a(n-4)+(-694*n^2+9998*n-34272)*a(n-5)+(136*n^2-6014*n+34116)*a(n-\ 6)+(1459*n^2-20765*n+71940)*a(n-7)+(-125*n^2+5989*n-40512)*a(n-8)+(-1303*n^2+ 20849*n-79044)*a(n-9)+(-340*n^2+2696*n+2976)*a(n-10)+(691*n^2-10499*n+29832)*a( n-11)+(343*n^2-3917*n+5148)*a(n-12)+(-130*n^2+830*n+10656)*a(n-13)+(-13*n^2-\ 2551*n+35136)*a(n-14)+(-73*n^2+2327*n-19140)*a(n-15)+(-140*n^2+4672*n-38592)*a( n-16)+(-23*n^2+655*n-4632)*a(n-17)+(82*n^2-2726*n+22584)*a(n-18)+20*(2*n-31)*(n -18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a (7) = 10, a(8) = 23, a(9) = 55, a(10) = 136, a(11) = 355, a(12) = 972, a(13) = 2788, a(14) = 8352, a(15) = 25994, a(16) = 83588, a(17) = 276218, a(18) = 933441, a(19) = 3212705}, [0, 0, 1, 1, 2, 5, 10, 23, 55, 136, 355, 972, 2788, 8352, 25994, 83588, 276218, 933441, 3212705, 11224294, 39701142, 141872925, 511375059, 1856795838, 6784678040, 24927469729, 92028278882, 341208890414, 1269922253820, 4742692489824, 17767328434689, 66749350053319, 251416911056765, 949232761218676, 3591709304122298, 13617854569354767, 51728753451420773, 196840592839108938, 750249946911264876, 2863916055115203302, 10948038121808810841, 41907961727374067365, 160622676348416291972, 616362307500265356319, 2367857763150906428807, 9106242870244299842804, 35056032271809849354150, 135083995363702024424552, 521005138284601946454286, 2011212504637621836998232], 163126734117302199070573497216265911177848026427827\ 9009698102676550255100336955542208618198554612270082550574487738277516611347074\ 6965274413364487850489352816176804190590205690995566269616622440306084017745512\ 4268282689991900682245189853313077263332820544114299870093310682855525242780757\ 3908751886187832982482809200970560026195209754288963951981853707926244371310614\ 8704287114424367242584351820860008876001701673425400363963487726069765484849264\ 9672660271842898274362812791222391687073053969332071704317375032309242252589035\ 5926475529134145328503781267733383451580993675772094712788938928658074] ---------------------------- (A,B)= , {1, 2}, {2, 4, 5} [P^2*x^6+6*P^2*x^5+8*P^2*x^4-7*P*x^5+3*P^2*x^3-14*P*x^4+x^5-4*P^2*x^2-8*P*x^3+6 *x^4-2*P^2*x+8*P*x^2+5*x^3+P^2+4*P*x-4*x^2-2*P-2*x+1, (C*x^3+2*x^2+x-1)/(C*x^3+ x^3+2*x^2+x-1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+28*(n-2)*(8*n-57)*a(n-2)+ (-105*n^2+1557*n-3696)*a(n-3)+(-911*n^2+10447*n-27552)*a(n-4)+(858*n^2-13278*n+ 46128)*a(n-5)+(1898*n^2-26488*n+89532)*a(n-6)+(-963*n^2+20589*n-98112)*a(n-7)+( -2790*n^2+47022*n-195744)*a(n-8)+(-675*n^2+7053*n-8508)*a(n-9)+(1623*n^2-34749* n+184128)*a(n-10)+(1280*n^2-27796*n+150864)*a(n-11)+(329*n^2-7567*n+43596)*a(n-\ 12)+14*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5 ) = 3, a(6) = 7, a(7) = 16, a(8) = 39, a(9) = 95, a(10) = 237, a(11) = 606, a( 12) = 1592, a(13) = 4316}, [0, 0, 1, 1, 3, 7, 16, 39, 95, 237, 606, 1592, 4316, 12107, 35199, 106065, 330705, 1063741, 3516457, 11898382, 41048985, 143899574, 511099925, 1834940352, 6646546243, 24254285655, 89062956417, 328795958425, 1219447387222, 4541045383167, 16970762929890, 63625718611377, 239227485904074, 901819665867253, 3407682513042695, 12904576362080961, 48966514856127108, 186148804537524328, 708874464240108163, 2703804118570891967, 10328377915862399539, 39509253197349457716, 151334554971055441671, 580385023232382907947, 2228447155984350353543, 8565809685069017171752, 32960111179147782488652, 126951952773640281191605, 489439178471509836765565, 1888628408653443521516413], 151295806501396062293222681240517117577409570405472\ 2395059513025702837501366175656895910994404190923253731591212385579399373343403\ 6717391968822801086055448633455721423224225813969062012243474168059927006012448\ 7844025399996414522687607660617771364743425873950099753953981659679060711123488\ 0422178089218845850555797998222496715090059501655891952139009777638757841089322\ 3140448684449360854388209513592642404040150735450297888474341032584823136636569\ 4928524929912174646638159458740878048098457255403985563593864034826095232846899\ 6030960922473285771626150984815087786114241476306655906608126032709005] ---------------------------- (A,B)= , {1, 2}, {3, 4, 5} [P^2*x^11+4*P^2*x^10+10*P^2*x^9-2*P*x^10+18*P^2*x^8-8*P*x^9+24*P^2*x^7-18*P*x^8 +x^9+25*P^2*x^6-30*P*x^7+4*x^8+16*P^2*x^5-36*P*x^6+8*x^7+6*P^2*x^4-29*P*x^5+12* x^6-3*P^2*x^3-12*P*x^4+13*x^5-3*P^2*x^2+4*P*x^3+6*x^4-2*P^2*x+6*P*x^2-x^3+P^2+4 *P*x-3*x^2-2*P-2*x+1, ((x^5+x^4)*C+x^4+2*x^3+2*x^2+x-1)/((x^6+x^5+x^4)*C+x^5+2* x^4+3*x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-2*(n-2)*(116*n-819 )*a(n-2)+(229*n^2-2657*n+5880)*a(n-3)+(247*n^2-3329*n+9684)*a(n-4)+(339*n^2-\ 2493*n+3036)*a(n-5)+(-1172*n^2+18826*n-70524)*a(n-6)-32*(10*n-63)*(5*n-43)*a(n-\ 7)+(-469*n^2-3547*n+58968)*a(n-8)+(3057*n^2-66843*n+349668)*a(n-9)+(4910*n^2-\ 90712*n+407964)*a(n-10)+(3072*n^2-31080*n-27720)*a(n-11)+(-1542*n^2+83886*n-\ 766248)*a(n-12)+(-4258*n^2+135974*n-1022376)*a(n-13)+(-1859*n^2+39763*n-174576) *a(n-14)+(4558*n^2-173702*n+1575888)*a(n-15)+(10915*n^2-382121*n+3304356)*a(n-\ 16)+(13623*n^2-472689*n+4086756)*a(n-17)+(12104*n^2-423496*n+3702408)*a(n-18)+( 8199*n^2-291387*n+2586528)*a(n-19)+(4314*n^2-156654*n+1417752)*a(n-20)+(1709*n^ 2-63619*n+588420)*a(n-21)+6*(79*n-1364)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-\ 23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 13, a(7) = 33 , a(8) = 85, a(9) = 220, a(10) = 573, a(11) = 1505, a(12) = 3992, a(13) = 10716 , a(14) = 29185, a(15) = 80872, a(16) = 228689, a(17) = 661835, a(18) = 1964992 , a(19) = 5994771, a(20) = 18802150, a(21) = 60586759, a(22) = 200234523, a(23) = 677043252}, [0, 0, 1, 2, 5, 13, 33, 85, 220, 573, 1505, 3992, 10716, 29185, 80872, 228689, 661835, 1964992, 5994771, 18802150, 60586759, 200234523, 677043252, 2335398396, 8193956677, 29161651348, 105015270653, 381867993109, 1399760014383, 5165075462133, 19164954551327, 71444950942805, 267406079855598, 1004319280689759, 3783427100919476, 14290938063046187, 54109646358130209, 205317355994870197, 780600492905346565, 2973120126368311372, 11342667483087016675, 43339504277548639839, 165833485432374826573, 635388099037154390115, 2437518962104368175706, 9361949843459353832742, 35996850198880390903139, 138552963192408643147486, 533821270185943789176451, 2058649180725194379918537], 161885412250747140163436904794050216132165955466794\ 6264038205823241246186441857720375662277889512056090844993350650038422790665469\ 9414953160099872914713376225938718517868299516569730325042121726688433369509805\ 9125925571201455922231710844232139999064400606580186776929857417645287950499984\ 7800471806087753560098881767526574985236067620648296673153775578140178686391949\ 1675167357928299762350051007442780302400775683215006796021701206975916020016314\ 0973717254176028062075031729811798871113813091315013401538275598481418862396407\ 6612032477832079881013346967906577809085921888276267225133590016067444] ---------------------------- (A,B)= , {1, 2}, {1, 2, 3, 4} [P^2*x^9+2*P^2*x^8+3*P^2*x^7+P^2*x^6-3*P^2*x^4-2*P^2*x^3+3*P*x^4+2*P*x^3+P^2-2* P+1, -1/(C*x^5+x^4+x^3-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-36*(n-2)*( 2*n-13)*a(n-2)+(9*n^2-45*n+42)*a(n-3)+(-66*n^2+534*n-948)*a(n-4)+(63*n^2-945*n+ 2886)*a(n-5)+(222*n^2-2040*n+3984)*a(n-6)+(39*n^2-435*n+1230)*a(n-7)+(10*n^2+ 266*n-1740)*a(n-8)+(-238*n^2+2992*n-9588)*a(n-9)+(-153*n^2+1863*n-5934)*a(n-10) +(-79*n^2+685*n-1062)*a(n-11)+(56*n^2-1040*n+4788)*a(n-12)+2*(34*n-315)*(n-10)* a(n-13)+(45*n^2-855*n+4074)*a(n-14)+6*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 0, a( 2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 8, a(9) = 19, a(10) = 52, a(11) = 154, a(12) = 483, a(13) = 1578, a(14) = 5301, a(15) = 18171 }, [0, 0, 1, 1, 1, 2, 4, 8, 19, 52, 154, 483, 1578, 5301, 18171, 63262, 222992, 794077, 2852090, 10319460, 37577087, 137601246, 506379469, 1871767996, 6946310606, 25871142820, 96670204315, 362293715333, 1361480707941, 5129196552560, 19368239140985, 73292433487786, 277900738957320, 1055655291666494, 4017008513085441, 15310279921293543, 58441236593323266, 223394096288689672, 855073983817318965, 3277043497243173412, 12574097219918315285, 48301384064339609136, 185739709984269963848, 714971341287117619199, 2754794653039134944891, 10623954668921591056207, 41007252954655917926059, 158414549698322576187299, 612453343789842911439889, 2369622856656736157230159], 210305143535709156112462988199968754791588895721363\ 2153215278613098146190480291488287967586208511076256567604025937219317326779224\ 5968335229154184764810383407764239035818518936937518531784116535203746840383116\ 5243958976695783131519365448837297119372577563575663621263158002095802181976050\ 2217490440481043603983041537037122034004219854290804652447959353223304113559207\ 8677176554976810106052134236566450276350291304401605088129138015195130484952906\ 6824640747434397913303468364745116890174786308548621075373854621379417632581147\ 9698900151279480959780614331884176382982195998292190036148080349049805] ---------------------------- (A,B)= , {1, 2}, {1, 2, 3, 5} [P^2*x^9-P^2*x^7-P^2*x^6-P^2*x^5+2*P*x^6+4*P^2*x^4+P*x^5-P^2*x^3-4*P*x^4+2*P^2* x^2-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5-x^2)*C-x^ 3-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+8*(n-2)*(46*n-309)*a(n-2)+(-\ 969*n^2+10077*n-21480)*a(n-3)+(1384*n^2-16352*n+42888)*a(n-4)+(-1315*n^2+16067* n-45816)*a(n-5)+(1439*n^2-17359*n+49248)*a(n-6)+(-1533*n^2+21171*n-70488)*a(n-7 )+(740*n^2-12430*n+51864)*a(n-8)+(-211*n^2+4091*n-21624)*a(n-9)+(346*n^2-6608*n +32136)*a(n-10)+(4*n^2+1720*n-14376)*a(n-11)+(-256*n^2+2954*n-5832)*a(n-12)+(66 *n^2-720*n+768)*a(n-13)+(-18*n^2+360*n-1848)*a(n-14)+(42*n^2-858*n+4272)*a(n-15 )-2*(n-12)*(5*n-64)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 12, a(9) = 29, a(10) = 74, a(11) = 199, a(12) = 571, a(13) = 1722, a(14) = 5403, a(15) = 17514, a(16) = 58266, a(17) = 197903}, [0, 0, 1, 1, 1, 3, 6, 12, 29, 74, 199, 571, 1722, 5403, 17514, 58266, 197903, 683554, 2393588, 8477375, 30312348, 109271297, 396671328, 1448770469, 5319750097, 19626401321, 72715433412, 270434590840, 1009226155998, 3778058141312, 14183527021174, 53386570559190, 201428689723650, 761679230689009, 2886113084232418, 10956747796783502, 41669695454037824, 158737041368219064, 605632875501509021, 2314046327662347418, 8853768139984538981, 33919005988163338458, 130102402640187342491, 499603795059816734757, 1920603344554011794214, 7390887642154122368203, 28469497096905751020787, 109765603626521030851290, 423581081312135522432631, 1635959558578764491563809], 135144937511835439319527073094004408786971213470848\ 0545113002696677155794848674839862966407091074569423888873678500298224961322701\ 0955543907176472107298424529023068632864984301103762055092096325408095674950971\ 2631410443644918369297933558834870555049431339678785722521659195654984285382820\ 8807704918816163109215019678544435323556141989298069296433112342904219057205431\ 8216058096449770001745150338501892032562469689926736232277748327142028392482918\ 9591982879501934307162984824809575817145506427623982812795016865011729942328594\ 6590902525571456123566246820988410038079336014282429267766100687230643] ---------------------------- (A,B)= , {1, 2}, {1, 2, 4, 5} [P^2*x^6+4*P^2*x^5+4*P^2*x^4-5*P*x^5+P^2*x^3-6*P*x^4+x^5-2*P^2*x^2-4*P*x^3+2*x^ 4-2*P^2*x+4*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/(C*x^3+x^3+x ^2+x-1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+240*(n-2)*(n-7)*a(n-2)+(-283*n^2 +3227*n-7104)*a(n-3)+(-299*n^2+3379*n-9072)*a(n-4)+(486*n^2-7638*n+27240)*a(n-5 )+(574*n^2-7556*n+23412)*a(n-6)+(-161*n^2+5143*n-28560)*a(n-7)+(-906*n^2+14778* n-58944)*a(n-8)+(-441*n^2+6099*n-19356)*a(n-9)+(343*n^2-7541*n+40608)*a(n-10)+( 398*n^2-8590*n+46392)*a(n-11)+(147*n^2-3393*n+19620)*a(n-12)+10*(n-12)*(2*n-25) *a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 10, a(8) = 22, a(9) = 51, a(10) = 121, a(11) = 302, a(12) = 794, a(13) = 2198 }, [0, 0, 1, 1, 2, 5, 10, 22, 51, 121, 302, 794, 2198, 6402, 19525, 61947, 203058, 683303, 2347769, 8201236, 29030007, 103864996, 374906214, 1363271790, 4988481461, 18352939460, 67841722225, 251826828537, 938261856496, 3507510839691 , 13151897837088, 49450881426706, 186403402141544, 704269703436487, 2666561649817112, 10116327178563091, 38449574960440740, 146387164201499918, 558223552742405395, 2131880076060143351, 8153175418105066400, 31222222537622141876, 119712827717279953573, 459543986199294130996, 1766018331496098583253, 6793905378051028607290, 26162328648095144935914, 100842630154496773982243, 389047529333719310079155, 1502218871096945913381754], 1231034413864321248989031304099201072130677100922923679449881368618004110719987\ 6272921417394299954765626162790206267415678608107898288283709441844389223634550\ 1076378523554311609086666634946664656786876655981361743528546820155277411796682\ 2108353507186018771670671052829168780956476874114174079253294175689369836134810\ 1306057944499176570795358180241524204226500044060715909251416397311021557138895\ 6561509248004682160085429120842750417128770250707421516595305522293415781493826\ 4599403863338054213024348493768867607169513025174415770874274698256016144275159\ 739583655251020078979991100216914240540089] ---------------------------- (A,B)= , {1, 2}, {1, 3, 4, 5} [P^2*x^11+2*P^2*x^10+5*P^2*x^9+8*P^2*x^8-2*P*x^9+9*P^2*x^7-4*P*x^8+11*P^2*x^6-8 *P*x^7+4*P^2*x^5-12*P*x^6+x^7+4*P^2*x^4-7*P*x^5+2*x^6-3*P^2*x^3-8*P*x^4+3*x^5-P ^2*x^2+4*P*x^3+4*x^4-2*P^2*x+2*P*x^2-x^3+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^4+x^3+x^ 2+x-1)/((x^6+x^4)*C+x^5+x^4+2*x^3+x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n -1)-2*(n-2)*(124*n-861)*a(n-2)+(393*n^2-4221*n+9096)*a(n-3)+(-245*n^2+2515*n-\ 5820)*a(n-4)+(605*n^2-6211*n+14964)*a(n-5)+(-1172*n^2+15826*n-52284)*a(n-6)+( 323*n^2-3133*n+7152)*a(n-7)+(-888*n^2+8844*n-14328)*a(n-8)+(1249*n^2-24311*n+ 117072)*a(n-9)+(546*n^2-10164*n+41160)*a(n-10)+(1120*n^2-16730*n+48708)*a(n-11) +(87*n^2+9135*n-114420)*a(n-12)+(-222*n^2+11016*n-96984)*a(n-13)+(-180*n^2+6990 *n-51456)*a(n-14)+(415*n^2-17453*n+168540)*a(n-15)+(936*n^2-32706*n+281880)*a(n -16)+(1309*n^2-45911*n+397692)*a(n-17)+(1124*n^2-38506*n+329016)*a(n-18)+(808*n ^2-27908*n+240744)*a(n-19)+(436*n^2-15212*n+132384)*a(n-20)+18*(9*n-148)*(n-19) *a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2 , a(5) = 4, a(6) = 9, a(7) = 20, a(8) = 45, a(9) = 103, a(10) = 240, a(11) = 573, a(12) = 1411, a(13) = 3607, a(14) = 9630, a(15) = 26957, a(16) = 79176, a( 17) = 243352, a(18) = 778592, a(19) = 2576205, a(20) = 8757837, a(21) = 30411894, a(22) = 107368115}, [0, 0, 1, 2, 4, 9, 20, 45, 103, 240, 573, 1411, 3607, 9630, 26957, 79176, 243352, 778592, 2576205, 8757837, 30411894, 107368115 , 383985350, 1387331289, 5053584716, 18532304298, 68342620492, 253236095946, 942224507684, 3518525955460, 13181677690257, 49526991730518, 186576147282075, 704551903617497, 2666407840342938, 10111654324416246, 38417971300926007, 146219506967504489, 557420975363496936, 2128247805223925235, 8137300519725218168, 31154452843793417095, 119428312743524506779, 458364170282572652704, 1761171644568909490894, 6774140176208914231211, 26082190088224417856796, 100519216635901434365691, 387747277613918926169815, 1497007617708563133959568], 122187663883953265324565572650288265329404686405576\ 9067197305942063642069490465137237556680729445485468033836027830804166317845832\ 7402829809242288298660678969229850000108783860210565629966177277385536884754035\ 8828152229950952613574061276858347734555471858929718406182199323603814255379793\ 7465101646570913250951797227071632502569917078259850052755397143535591757961572\ 6046631815643728982629003582955755086034155408323292829648012487799550435901612\ 5497729145033614759337093752631467160172976742915936538985237135479546759500552\ 0195133550125297096029967542953786623560894811474350532611140447582906] ---------------------------- (A,B)= , {1, 2}, {2, 3, 4, 5} [P^2*x^11+4*P^2*x^10+8*P^2*x^9-2*P*x^10+12*P^2*x^8-6*P*x^9+13*P^2*x^7-10*P*x^8+ x^9+9*P^2*x^6-14*P*x^7+2*x^8+P^2*x^5-12*P*x^6+3*x^7-4*P^2*x^4-3*P*x^5+4*x^6-4*P ^2*x^3+6*P*x^4+2*x^5-2*P^2*x^2+6*P*x^3-2*x^4+4*P*x^2-2*x^3+P^2-2*x^2-2*P+1, (C* x^5+x^4+x^3+x^2-1)/((x^6+x^5)*C+x^5+2*x^4+2*x^3+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1 )*(7*n-44)*a(n-1)-72*(n-2)*(n-8)*a(n-2)+(-110*n^2+1120*n-2400)*a(n-3)+(77*n^2-\ 1321*n+4320)*a(n-4)+(337*n^2-4685*n+14568)*a(n-5)+(468*n^2-5538*n+15684)*a(n-6) +(-43*n^2+3635*n-23184)*a(n-7)+(-1099*n^2+18545*n-76248)*a(n-8)+(-1501*n^2+ 20939*n-66936)*a(n-9)+(-630*n^2+2910*n+26820)*a(n-10)+(905*n^2-23899*n+144540)* a(n-11)+(1645*n^2-30431*n+123924)*a(n-12)+(1014*n^2-5100*n-98580)*a(n-13)+(79*n ^2+20311*n-282984)*a(n-14)+(143*n^2+9251*n-155796)*a(n-15)+(1509*n^2-44511*n+ 333732)*a(n-16)+(3242*n^2-110014*n+935208)*a(n-17)+(4104*n^2-144276*n+1267992)* a(n-18)+(3661*n^2-131273*n+1175664)*a(n-19)+(2434*n^2-89138*n+813384)*a(n-20)+( 1211*n^2-45421*n+423084)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*(2*n-35)*( n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 7, a(8) = 14, a(9) = 28, a(10) = 59, a(11) = 134, a(12) = 329, a(13) = 880, a(14) = 2546, a(15) = 7856, a(16) = 25453, a(17) = 85420, a(18) = 293948, a(19) = 1030027, a(20) = 3658334, a(21) = 13129329, a(22) = 47514571, a(23) = 173144786}, [0, 0, 1, 1, 2, 4, 7, 14, 28, 59, 134, 329, 880, 2546, 7856, 25453, 85420, 293948, 1030027, 3658334, 13129329, 47514571, 173144786, 634653127, 2338115827, 8652299012, 32145374411, 119853378842, 448310143528, 1681809849665, 6326101839764, 23854011106267, 90150718223952, 341417496028107, 1295524459815570, 4924817638263514, 18752829577606769, 71520112076618664, 273169001060520396, 1044810581407933811, 4001392671495528470, 15343338037080902817, 58902527699544097094, 226373797250483356681, 870906300904048379992, 3353872956029451976163, 12927967958561973025860, 49877257629555497315376, 192595032816089338657516, 744287411565077288557337], 6298108281001479252616675130338206770982349842302943565261155978629550913371112\ 7575329769410040720664054551888894193739168466127001540074045389407925421755055\ 2806163999896544394493578739281352689586183645679603765319255690355829769507689\ 8746874487964138592172218691906859122924537445563812860862162067352483101402638\ 5238218036669265389918723401406822639741401476400864289901618822187765097592357\ 3531147517757937863735525624649385170111380409776413799459593589740638278181858\ 3648620718559963441627890190458691799721000593939874669526048487050420614935056\ 33959125078491536198212268625082447662109] ---------------------------- (A,B)= , {1, 2}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+4*P^2*x^8+2*P^2*x^7+P^2*x^6-3*P^2*x^5-2*P^2*x^4+ 3*P*x^5-2*P^2*x^3+2*P*x^4+2*P*x^3+P^2-2*P+1, -1/(C*x^6+x^5+x^4+x^3-1), {-5*n*(n -5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+(12*n^2-78*n+96)*a(n-\ 3)+(-91*n^2+839*n-1632)*a(n-4)+(137*n^2-1681*n+4536)*a(n-5)+(62*n^2-1120*n+4020 )*a(n-6)+(338*n^2-3556*n+8040)*a(n-7)+(-56*n^2+946*n-3720)*a(n-8)+(-72*n^2+1650 *n-7752)*a(n-9)+(-405*n^2+5817*n-21000)*a(n-10)+(-268*n^2+3746*n-13524)*a(n-11) +(-151*n^2+1733*n-4692)*a(n-12)+(39*n^2-1761*n+11784)*a(n-13)+(166*n^2-3488*n+ 18216)*a(n-14)+(154*n^2-3332*n+18036)*a(n-15)+(108*n^2-2322*n+12552)*a(n-16)+( 45*n^2-1035*n+5964)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 3, a(8) = 5, a(9) = 10, a(10) = 22, a(11) = 56, a(12) = 160, a(13) = 492, a(14) = 1591, a(15) = 5319, a(16) = 18192, a(17) = 63269, a(18) = 222905}, [0, 0, 1, 1, 1, 2, 3, 5, 10, 22, 56, 160 , 492, 1591, 5319, 18192, 63269, 222905, 793568, 2849882, 10310686, 37543377, 137473559, 505898698, 1869961703, 6939526202, 25845643498, 96574251059, 361932122810, 1360115927119, 5124037014452, 19348701887867, 73218335039736, 277619271203005, 1054584514637733, 4012929123869290, 15294717006449687, 58381785423709589, 223166702829714857, 854203182930427568, 3273704936446405373, 12561283461702785275, 48252151895914840428, 185550363987896066785, 714242423357690445266, 2751985999477000155333, 10613122947957594286903, 40965444877820701184897, 158253050279413440607776, 611829012268434386633457], 5260300338724193486243082168107034556611822159677331109552179635355936280706183\ 1974693546118900238724690720121671247047086262216607402116322082615796900267549\ 6242377731647259191862596258607554428187887613550873458037857276275473199740099\ 8853555518143279118116769498286955684937969087445841571960295134949664765426341\ 4976847610111205144508416223316295165137676784148070770105071191535946748372703\ 8512078161904185553130162950417855598634859654627291871407777732971804383074158\ 2349101951852726678921776634667618288658359676801937257658192289759134248911129\ 49913131954093831530333620624996187436892] ---------------------------- (A,B)= , {1, 3}, {} [P^2*x^3-P^2*x+P^2+P*x-2*P+1, (C*x-1)/(C*x+x^2-1), {-(n-1)*n*a(n)+(n-1)*(11*n-\ 24)*a(n-1)-(35*n-68)*(n-3)*a(n-2)+(28*n^2-172*n+252)*a(n-3)+(6*n^2-48)*a(n-4)+( -25*n^2+139*n-180)*a(n-5)+2*(n-4)*(2*n-9)*a(n-6) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 20}, [0, 1, 1, 3, 7, 20, 59, 184, 593, 1964, 6642, 22845, 79667, 281037, 1001092, 3595865, 13009673, 47366251, 173415176, 638044203, 2357941142, 8748646386, 32576869203, 121701491701, 456012458965, 1713339737086, 6453584646837, 24364925260024, 92185136438942, 349479503542465, 1327356794933809, 5050158160587171, 19245314696271615, 73452022778386004, 280737995030041943, 1074436722483501092, 4117270194612416350, 15796330585442827899, 60672698187581069171, 233289290779975354221, 897918331924508326712, 3459372676013419366361, 13340001976871342146160, 51486513556851277778688, 198880620085923210073027, 768840737702048561014907, 2974472078222445356489939, 11515920169669695536463232, 44615853189158693861877815, 172969279353105613983379776], 167597830813578813555\ 5412396405303632928466859340501442364100837069866375756143830236932569333704797\ 9015224806115497203295903269871718920985319047714664531077680981828712839160760\ 0702405727245350713163761936957230946887613098777239190930272387763306487139398\ 1999037109914838987914425332911519447650360295622958355268349302968204433902311\ 8764602101042117356401358728921086755194576541917676873038090997926907658812227\ 4380394541948954208334944922113643192818049960628445612375357409687311691348023\ 0599918574454325396127287685991259538575058218293841337429219756301763767131838\ 53184855225615857545571] ---------------------------- (A,B)= , {1, 3}, {1} [P^2*x^3-2*P^2*x^2+2*P*x^2+2*P^2-P*x-4*P+x+2, (C*x-x-1)/(C*x+x^2-x-1), {2*(n-1) *n*a(n)-4*(n-1)*(5*n-12)*a(n-1)+(46*n^2-262*n+336)*a(n-2)+n*(19*n-49)*a(n-3)+(-\ 50*n^2+206*n-96)*a(n-4)+(26*n^2-152*n+216)*a(n-5)-3*(3*n-16)*(n-6)*a(n-6)+2*(2* n-11)*(n-6)*a(n-7) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 2, a(6) = 9, a(7) = 22}, [0, 1, 0, 2, 2, 9, 22, 74, 232, 778, 2626, 9060, 31630, 111753 , 398550, 1433158, 5190096, 18912718, 69295912, 255137020, 943471148, 3502549274, 13049036148, 48772095520, 182827568336, 687199651108, 2589414721302 , 9779462403016, 37012590353750, 140358730917545, 533243967477926, 2029345686786822, 7735382621632608, 29529756141571958, 112888774984360752, 432134085905621036, 1656266644367225404, 6355588891343667406, 24415601763725286068, 93894386962663405404, 361450493183041352560, 1392750107219046816780, 5371462595520658716868, 20734239816579748120120, 80101827144453811138828, 309698568315317765305706, 1198293634274787973705628, 4639812010509677554759452, 17977831228712652534267520, 69704614314456966306902588], 67854101504108707591640193467874240392045919574499\ 2556118727724737671834126739382703795348063833413960066103126977223457551269946\ 3077471352705523112543348801616626268675974368000990922447182276470492618758027\ 2183658457911139267228973497942073360485952392264795791458239050112545162990005\ 1732985797100721954384355341518559818524633219288353834051909360663547048446761\ 9438753598792277976907732372035926685044519846210663855495310782562224906957336\ 2937070701609922292482696718013575100007358000776271301847618287517533941884611\ 735159970054020087693489443767877378927693999356948986337634773033938624] ---------------------------- (A,B)= , {1, 3}, {2} [P^2*x^6-P^2*x^4-2*P*x^5+4*P^2*x^3+2*P*x^4+P^2*x^2-2*P*x^3+x^4-3*P^2*x-5*P*x^2-\ 2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, (C*x^2-x^2+x-1)/((x^3+x^2)*C-x^3+x-1), {-2*n*( n-2)*a(n)+3*(n-1)*(9*n-26)*a(n-1)-45*(n-2)*(3*n-11)*a(n-2)+(n-3)*(301*n-1370)*a (n-3)+(-246*n^2+2712*n-6864)*a(n-4)+(-114*n^2-198*n+3636)*a(n-5)+(231*n^2-1053* n-2106)*a(n-6)+(34*n^2-1778*n+12012)*a(n-7)+(-108*n^2+1968*n-10968)*a(n-8)+(-91 *n^2+2255*n-11346)*a(n-9)+2*(n-9)*(89*n-1174)*a(n-10)+(-15*n^2+459*n-2970)*a(n-\ 11)+(-46*n^2+866*n-4020)*a(n-12)+20*(2*n-19)*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 19, a(7) = 53, a(8) = 156, a(9) = 477 , a(10) = 1508, a(11) = 4899, a(12) = 16280, a(13) = 55129}, [0, 1, 1, 3, 7, 19 , 53, 156, 477, 1508, 4899, 16280, 55129, 189649, 661132, 2330903, 8297651, 29785736, 107699618, 391908558, 1434158331, 5274485986, 19485187782, 72272833878, 269044392261, 1004861782855, 3764404797567, 14141119790146, 53256419718082, 201036660038813, 760532393393439, 2882913315927835, 10948539431247633, 41652106983716884, 158717469106915234, 605724149680170418, 2314978601186313442, 8859396466026199283, 33947881513707723828, 130239210037669914331, 500222286654283321641, 1923315167916670984535, 7402526322134063493846, 28518673057077928059507, 109970936494478056303588, 424430586300784339606777, 1639448553808039723538960, 6337744541111831936124443, 24518959846029836109263323, 94926026452180270795486446], 8664238487677463458326\ 6989543240113187724399153480457147251136877178982608588609931935744436976228349\ 0413725400451256740853678521529952235014056889477385098309472127959543515506932\ 8696539778532971084302229159114180410380150036361120359689839091693229861561851\ 3650025319165851474125242083362726967011209213377125673127049568052587167494538\ 5472502684271363190853724432572401808368452885176610632382006250818588888964984\ 2703094821356732463224527578442715769131446042413929632881267925907635354969227\ 0282689845172642452475495672363792935576731699603366807629919610174838915505572\ 467070458096047678143] ---------------------------- (A,B)= , {1, 3}, {3} [P^2*x^4+4*P^2*x^3-5*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (C*x^ 2+x-1)/(C*x^2+x^2+x-1), {3*n*(n-3)*a(n)-(n-1)*(41*n-160)*a(n-1)+(207*n^2-1401*n +1980)*a(n-2)+(-451*n^2+3975*n-7940)*a(n-3)+(284*n^2-3684*n+10480)*a(n-4)+(375* n^2-2925*n+4800)*a(n-5)+(-469*n^2+5607*n-16340)*a(n-6)+(-54*n^2+378*n-240)*a(n-\ 7)+(99*n^2-1569*n+6240)*a(n-8)+10*(n-8)*(2*n-17)*a(n-9) = 0, a(1) = 0, a(2) = 1 , a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 37, a(8) = 98, a(9) = 270}, [ 0, 1, 1, 3, 6, 15, 37, 98, 270, 779, 2337, 7263, 23265, 76464, 256789, 878056, 3047947, 10714661, 38069815, 136497271, 493230012, 1794334815, 6566208736, 24153329309, 89255685675, 331190450906, 1233451440396, 4609082396503, 17275176101662, 64927885164648, 244647425383540, 923980441097829, 3497196823184601, 13263059384947299, 50393245004293950, 191801032156093815, 731189792517550758, 2791677380300259939, 10673720262179411869, 40864398970172392252, 156646101921420328606, 601185610122249779803, 2309850885953856158922, 8884230893482206878910, 34205222729674099322932, 131819508946989067512545, 508465231586169870523773, 1962990692539327700488721, 7584606673177600805346771, 29328468295774307256478996], 25479179081034066322305\ 1354590015648237454735861851120457318327267160091297862669962930677828860481323\ 4336475242719188484349332254807903727376044502650755822063826409746111657762652\ 9887812219682543086073013328103481991757040429841837170159164938272392091542464\ 4087281110798153552604821668816276525312520284447283831755732810148396082546613\ 9613873130167981267351125457923948660895700576625885871859797435866575798147332\ 5827798043905691526140925287307457994918431776680987602564437823801043907756529\ 6215201410121590709331940966041545884348063997230889745997757067831321653961695\ 76994255312191047352] ---------------------------- (A,B)= , {1, 3}, {4} [P^2*x^7+2*P^2*x^6-5*P^2*x^5-6*P^2*x^4+2*P*x^5+9*P^2*x^3+7*P*x^4+4*P^2*x^2-10*P *x^3-5*P^2*x-10*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^4-x^2) *C+x^3-x^2-2*x+1), {4*n*(n-4)*a(n)-3*(n-1)*(23*n-110)*a(n-1)+(473*n^2-3581*n+ 5286)*a(n-2)+(-1585*n^2+15007*n-30990)*a(n-3)+(2358*n^2-28176*n+76284)*a(n-4)+( 100*n^2+6326*n-37716)*a(n-5)+(-4378*n^2+51730*n-147336)*a(n-6)+(3076*n^2-47224* n+173904)*a(n-7)+(2276*n^2-28598*n+89472)*a(n-8)+(-2310*n^2+36318*n-142668)*a(n -9)+(-429*n^2+5373*n-14634)*a(n-10)+(528*n^2-9006*n+38316)*a(n-11)+4*(5*n+72)*( n-10)*a(n-12)+(-18*n^2+324*n-1392)*a(n-13)+4*(2*n-23)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 19, a(7) = 52, a(8) = 147, a(9) = 424, a(10) = 1248, a(11) = 3743, a(12) = 11433, a(13) = 35547, a(14) = 112440}, [0, 1, 1, 3, 7, 19, 52, 147, 424, 1248, 3743, 11433, 35547, 112440, 361614, 1181566, 3919139, 13183571, 44931002, 154980359, 540470314, 1903668281, 6765759641, 24241406328, 87489777071, 317827159830, 1161363575818, 4266090289078, 15745167357475, 58360313122191, 217151532945093, 810823672452257 , 3037178265410328, 11409669228754690, 42976160870431614, 162270392993510417, 614078887879792493, 2328668657825009554, 8847558373977105030, 33675339388164956623, 128386707211628419626, 490229846903801636073, 1874596479330251176201, 7178026427856714813756, 27520477796909662829396, 105639947931117737336459, 405968299885833139441843, 1561783181300365447131284, 6014356871286608982005638, 23183266213572543997142208], 17945503337857064045090\ 2199616845673349684783003586376938667301860999652884184113838013214345351941314\ 4930073207584172916385648958770090672729333297848593501980138382219401501242263\ 9924045529889650675774729334119495536225042837919237786433897360156131325710752\ 9265171078250409003849968526040957139371715266364138787358103447457664864340061\ 6359346929016176562712751216233113295672176368977496405047750111599823897246312\ 7522444114440839355845668943319790339694399689511894211313391593874076897459963\ 1251849474106564976431732171743757117547338912264732875101074976896175280145375\ 49670942348719776420] ---------------------------- (A,B)= , {1, 3}, {5} [P^2*x^7+8*P^2*x^6+P^2*x^5-2*P*x^6-19*P^2*x^4-7*P*x^5+3*P^2*x^3+20*P*x^4+x^5+13 *P^2*x^2+6*P*x^3-7*P^2*x-28*P*x^2-9*x^3+P^2+14*P*x+15*x^2-2*P-7*x+1, ((x^3-x^2) *C+x^2-3*x+1)/((x^4+x^3-x^2)*C+2*x^3-3*x+1), {-5*n*(n-5)*a(n)+15*(n-1)*(7*n-40) *a(n-1)+(-923*n^2+7783*n-11904)*a(n-2)+(4345*n^2-44279*n+94272)*a(n-3)+(-11425* n^2+138119*n-373656)*a(n-4)+(14739*n^2-214953*n+721752)*a(n-5)+(-1012*n^2+58622 *n-349224)*a(n-6)+(-20413*n^2+286061*n-960096)*a(n-7)+(17262*n^2-302574*n+ 1286088)*a(n-8)+(5662*n^2-71516*n+200088)*a(n-9)+(-10440*n^2+192588*n-886920)*a (n-10)+(250*n^2-11264*n+89040)*a(n-11)+(1818*n^2-38016*n+196104)*a(n-12)+(-16*n ^2+1124*n-10920)*a(n-13)+(30*n^2-924*n+6960)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 20, a(7) = 58, a( 8) = 175, a(9) = 537, a(10) = 1672, a(11) = 5263, a(12) = 16726, a(13) = 53620, a(14) = 173316, a(15) = 564690}, [0, 1, 1, 3, 7, 20, 58, 175, 537, 1672, 5263, 16726, 53620, 173316, 564690, 1854276, 6136078, 20461213, 68749657, 232744442, 793817129, 2727378927, 9438280646, 32891794743, 115409363752, 407617170378, 1448806018534, 5180766358134, 18632746860962, 67379495697554, 244913938494431, 894542645941317, 3282155743666452, 12093724679204068, 44738404960042822, 166112660783689016, 618892548486949400, 2313199457272794197, 8671575399606729858, 32597071446142416495, 122848551847307148922, 464081263766805477330, 1757026742425415687092, 6665867269124953739559, 25337744423772398393079, 96484230595535886043360, 368019294800064553078383, 1405930215208039556161971, 5378892443053295881400314, 20607175210857344364376663], 13353628830036637858826140208820621159417684700345\ 1063854422496226759596862316472796828643111467124874081412362241882669232165365\ 3082752459641548944502900958604178342775340633730275350794750053320547687235437\ 6189288837630064214930558041120575878989425131262403502925039311888232208792324\ 7618256305393301869369640922105144799485542235115930290541025123111134882814156\ 1899156203317518374051519618507891338472755520692430220301070521839745494545831\ 7963544142649755063548458276954211374100965923736716298909785571192863293135382\ 298383095609957525378225530812916062544869654355086416890084350896187717] ---------------------------- (A,B)= , {1, 3}, {1, 2} [P^2*x^6-2*P^2*x^5+2*P^2*x^4+2*P^2*x^3-3*P^2*x^2-2*P*x^3+3*P*x^2+P^2-2*P+1, -1/ (C*x^3-x^3+x^2-1), {-n*(n-2)*a(n)+3*(n-1)*(3*n-10)*a(n-1)-(n-2)*(17*n-90)*a(n-2 )+(-30*n^2+132*n-120)*a(n-3)+(79*n^2-500*n+708)*a(n-4)+(-13*n^2+83*n+30)*a(n-5) +(-70*n^2+470*n-804)*a(n-6)+(41*n^2-163*n-174)*a(n-7)+(-4*n^2-88*n+576)*a(n-8)+ (n^2-41*n+234)*a(n-9)+(-5*n^2+88*n-372)*a(n-10)+2*(2*n-15)*(n-8)*a(n-11) = 0, a (1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 2, a(6) = 8, a(7) = 18, a(8) = 57 , a(9) = 170, a(10) = 550, a(11) = 1804}, [0, 1, 0, 2, 2, 8, 18, 57, 170, 550, 1804, 6086, 20864, 72619, 255754, 909915, 3265104, 11803486, 42946018, 157144099, 577903650, 2134816772, 7917993004, 29474710388, 110082443988, 412376788463, 1549057802398, 5833663627325, 22020639442216, 83302362793845, 315759098350500, 1199126437710154, 4561736062123934, 17382100045325788, 66334086077444166, 253508921382459453, 970141121944233626, 3717304232495677427, 14260738200801874774, 54770703007564951031, 210581870437219978356, 810468169208581556880, 3122274238514465513506, 12039422124543181018007, 46464433215970565456574, 179472653801135675579630, 693780380982773039530140, 2683962185107447956513580, 10390752250457851923086840, 40255043687252971275645831], 37805822493320919568782694718077359641941994906236\ 9054662656504320722682449293908275735944304327830680135973621306771330765728459\ 0717224164077744559363715344829571640604630245818763480036968728521706403054701\ 4157406273827898756391935285658258836954695785020747997965435824964682700163852\ 9353435277732349264295754012484982019980931150390162730900098091808225191761347\ 9042848063755338188879099990454722131173380397172581411429481681280263329569279\ 5186315940863106269700375544884593116001547764342875619428034244964239985591662\ 168907174630060408088347240167352621253989503794807592641326895267051130] ---------------------------- (A,B)= , {1, 3}, {1, 3} [P^2*x^4+2*P^2*x^3-2*P^2*x^2-3*P*x^3-P^2*x+2*P*x^2+x^3+P^2+2*P*x-2*P-x+1, (C*x^ 2-1)/(C*x^2+x^2-1), {3*n*(n-3)*a(n)-(n-1)*(31*n-128)*a(n-1)+(95*n^2-693*n+1012) *a(n-2)+(-41*n^2+549*n-1348)*a(n-3)+(-196*n^2+1476*n-2552)*a(n-4)+(217*n^2-2151 *n+5144)*a(n-5)+(55*n^2-489*n+1124)*a(n-6)+(-108*n^2+1440*n-4848)*a(n-7)+(-3*n^ 2-27*n+384)*a(n-8)+6*(n-8)*(2*n-17)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a (4) = 2, a(5) = 1, a(6) = 6, a(7) = 9, a(8) = 31, a(9) = 78}, [0, 1, 0, 2, 1, 6 , 9, 31, 78, 248, 762, 2501, 8313, 28339, 97987, 343550, 1217433, 4354660, 15699284, 56987858, 208104463, 763965651, 2817762767, 10436617705, 38802374494, 144758682359, 541732046820, 2033112192169, 7650202948049, 28855557628540, 109081558009484, 413207106928657, 1568251121393864, 5962633163695974, 22708275673843813, 86617897528567574, 330877061839712498, 1265677714535194810, 4847773262390942107, 18590555056113792649, 71374673414607317109, 274328422074524524783, 1055474257259096431986, 4064918241799309163505, 15669753830391743794822, 60458743289302088692317, 233466419414313213183665, 902279599683331286903190, 3489743052180209865344784, 13507239380962117314137837 ], 1219096231684756082671077990014337909693283669940245250334712549160130740223\ 5259867523250056786202870872549641723109694227793345919728599609301640454930327\ 6483963443549674005573885015742383325039432568881977018860176850331546801326355\ 6929477072476557730346954820887289353724071209818002744142950409557654874096685\ 8110453005471967997616945030266952383718556047785792195052640599497943005111680\ 4229490938707319573201864260265046444355830441881059481797183774778995831054538\ 3786203911671510307235805386120407321722213293201499284686335746921765897080701\ 4620371957644286643221643483306266126425693201] ---------------------------- (A,B)= , {1, 3}, {1, 4} [P^2*x^7-8*P^2*x^5+2*P*x^6+4*P^2*x^4+4*P*x^5+11*P^2*x^3-7*P*x^4+x^5-3*P^2*x^2-\ 16*P*x^3+4*x^4-3*P^2*x+4*P*x^2+5*x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((-x^3-x^2)*C-x^2 -x+1)/((x^4-x^3-x^2)*C+x^3-2*x^2-x+1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n-1) +(263*n^2-2081*n+3126)*a(n-2)+(-389*n^2+4271*n-9522)*a(n-3)+(-683*n^2+5117*n-\ 8550)*a(n-4)+(2441*n^2-27635*n+75042)*a(n-5)+(-499*n^2+10069*n-40014)*a(n-6)+(-\ 4033*n^2+53071*n-176514)*a(n-7)+(2330*n^2-36566*n+145308)*a(n-8)+(2294*n^2-\ 35498*n+136476)*a(n-9)+(-1598*n^2+27530*n-119700)*a(n-10)+(-32*n^2-1828*n+23256 )*a(n-11)+(267*n^2-5505*n+29502)*a(n-12)+(-174*n^2+4722*n-31740)*a(n-13)+2*(n-\ 10)*(n-9)*a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 2, a(6) = 8, a(7) = 17, a(8) = 50, a(9) = 134, a(10) = 391, a( 11) = 1151, a(12) = 3515, a(13) = 10983, a(14) = 35186, a(15) = 115112}, [0, 1, 0, 2, 2, 8, 17, 50, 134, 391, 1151, 3515, 10983, 35186, 115112, 383881, 1301742 , 4479506, 15613018, 55027644, 195833984, 702867276, 2541438491, 9249498493, 33857797046, 124571919986, 460429387913, 1708765449813, 6365059473140, 23788731161201, 89177913336975, 335232345712998, 1263387999913026, 4772451328575118, 18066838115205653, 68531365235896604, 260436228350919350, 991431812677095550, 3780280173460978154, 14435768797439555306, 55203928916268923136, 211386511295660184943, 810453529093295872451, 3110941004787464502734, 11954738022568274854356, 45988271959652911275491, 177087951011100551253141, 682564690153774955894216, 2633244240968172146919215, 10167451549133824575769895], 83409877208219747568543808931897754619285769012060\ 8497346535699487958461850142624126599974865869323507271488910690224518761296291\ 5678530342977194429538864373833184694998039932909166526822209305076685342535337\ 8781561958786387649795809982604583854817699287990434109587694490111052892715668\ 7127442527920556531859650725828524065898393898699164816843446785056983448702293\ 9508917877744988417428319628025286031660610525024407503811864625980167348238150\ 2882612653493900646168763022937870546779872257334610972583604303750273256945266\ 10902622694581576886027087188557721824660411657928002211524224325778149] ---------------------------- (A,B)= , {1, 3}, {1, 5} [P^2*x^7+6*P^2*x^6-12*P^2*x^5-8*P^2*x^4+7*P*x^5+16*P^2*x^3+8*P*x^4+2*P^2*x^2-22 *P*x^3+x^4-5*P^2*x-6*P*x^2+6*x^3+P^2+10*P*x+4*x^2-2*P-5*x+1, (-C*x^2-x^2-2*x+1) /((x^4-x^2)*C+2*x^3-2*x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)+(-\ 587*n^2+5065*n-7812)*a(n-2)+(1795*n^2-19187*n+41892)*a(n-3)+(-1548*n^2+23166*n-\ 70992)*a(n-4)+(-4526*n^2+48334*n-118800)*a(n-5)+(10575*n^2-147297*n+488004)*a(n -6)+(-590*n^2+22342*n-118284)*a(n-7)+(-14446*n^2+226268*n-885552)*a(n-8)+(7141* n^2-123467*n+533364)*a(n-9)+(6116*n^2-112162*n+511032)*a(n-10)+(-4138*n^2+81122 *n-395568)*a(n-11)+(-282*n^2+5730*n-30408)*a(n-12)+(257*n^2-6019*n+35316)*a(n-\ 13)+14*(n-12)*(2*n-25)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5 ) = 2, a(6) = 9, a(7) = 21, a(8) = 67, a(9) = 193, a(10) = 593, a(11) = 1811, a (12) = 5645, a(13) = 17757, a(14) = 56586}, [0, 1, 0, 2, 2, 9, 21, 67, 193, 593 , 1811, 5645, 17757, 56586, 182337, 594338, 1958763, 6525850, 21970757, 74721792, 256600243, 889346780, 3109358872, 10960445169, 38932335867, 139278843112, 501561397228, 1817217676577, 6621002241239, 24248044390131, 89223963879194, 329736920612849, 1223427498802121, 4555859697027389, 17022119986969600, 63795500724922685, 239768815747568771, 903493584447821359, 3412715383904109296, 12919303600775584415, 49008483334872640400, 186265541056423628340, 709193923013981647989, 2704682945476724928212, 10330923320183274751077, 39517572575497012735691, 151366775374307738756106, 580529577419824881042280, 2229148807175688659219718, 8569290963493167474685565] , 60792579128842629282318696265416504989181868138340387621095713645663526018383\ 2117280384813066502014897000286188658875876141125091920952513029671026653508654\ 1866192402946392650372896175452620512597502725740215524477476261298223907363292\ 3615158742338018927640756466928130886491106016972856236025150730022482790189405\ 5091877350583815120772104746689112577324419481631717723188173425013769468168866\ 7985220454302625274383413696616197523256513460186073487351911076227819761467073\ 6341750590161180979778879776856868058478538454393912477333909358584430075552706\ 49153694001094555411925025443810353942233006] ---------------------------- (A,B)= , {1, 3}, {2, 3} [P^2*x^7+2*P^2*x^6+2*P^2*x^5-2*P*x^6+3*P^2*x^4-2*P*x^5+2*P^2*x^3-2*P*x^4+x^5-2* P^2*x^2-3*P*x^3-2*P^2*x+2*P*x^2+x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3+x-1)/((x^4+x^3) *C+x^2+x-1), {-3*n*(n-3)*a(n)+36*(n-1)*(n-4)*a(n-1)-(145*n-292)*(n-5)*a(n-2)+( 186*n^2-1806*n+3816)*a(n-3)+(121*n^2-651*n+416)*a(n-4)+(-310*n^2+3438*n-9128)*a (n-5)+(-106*n^2+678*n-464)*a(n-6)+(181*n^2-2523*n+8768)*a(n-7)+(82*n^2-1902*n+ 9920)*a(n-8)+(-33*n^2+1509*n-12060)*a(n-9)+(9*n^2+1203*n-11436)*a(n-10)+(76*n^2 -1860*n+11696)*a(n-11)+(102*n^2-2730*n+17808)*a(n-12)+3*(n-12)*(27*n-355)*a(n-\ 13)+(82*n^2-2070*n+12992)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2 ) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 33, a(8) = 83, a(9) = 219, a(10) = 609, a(11) = 1777, a(12) = 5415, a(13) = 17125, a(14) = 55858, a( 15) = 186852}, [0, 1, 1, 3, 6, 14, 33, 83, 219, 609, 1777, 5415, 17125, 55858, 186852, 637946, 2214412, 7791021, 27717882, 99530269, 360210360, 1312419563, 4809660040, 17716035881, 65549901333, 243510660159, 907874894637, 3395822977041 , 12739307309086, 47919990340187, 180701038417692, 682955604705898, 2586646693887401, 9815850915956066, 37316902515973384, 142107430174189758, 542017920602407692, 2070393480287506408, 7919454777966436962, 30332284617083209273, 116318777876042516592, 446580330172393591698, 1716433724026828269580, 6603999026634490875941, 25434093226717234893012, 98046784400272840294200, 378301804733002080048649, 1460874767439934105120743, 5645987704110928026442328, 21837517073737344692385078], 19164207621679781399235\ 1306590189085658463321637869256108986911849524525628941794064651570657065012650\ 6049147899690060391123505076117337707756278911068892756751004311601838326804340\ 9366654237197010136005165725881087842490942677526301337450671021645587943857526\ 1030849940546690824972590568148627108807409939842039096717678144830679748463252\ 8433380026831720513580201696586179486869170800607427679452095655604654522688619\ 2226980582954318072272259887473313862232350310650073633150765361187373725250788\ 9474116640794405078661356727684481510693450643471655774454405263585083955680626\ 15717187959099330601] ---------------------------- (A,B)= , {1, 3}, {2, 4} [P^2*x^9+2*P^2*x^8-2*P^2*x^7-2*P*x^8+P^2*x^6-2*P*x^7+8*P^2*x^5+4*P*x^6+x^7-5*P^ 2*x^4-10*P*x^5-P^2*x^3-P*x^4-x^5+7*P^2*x^2+10*P*x^3+7*x^4-5*P^2*x-16*P*x^2-9*x^ 3+P^2+10*P*x+9*x^2-2*P-5*x+1, ((x^4-x^3+x^2)*C+x^3-x^2+2*x-1)/((x^5-x^3+x^2)*C+ x^4+2*x-1), {-4*n*(n-4)*a(n)+3*(n-1)*(23*n-110)*a(n-1)+(-491*n^2+3689*n-5430)*a (n-2)+(1866*n^2-17220*n+35100)*a(n-3)+(-4070*n^2+44828*n-115500)*a(n-4)+(4920*n ^2-64950*n+205320)*a(n-5)+(-2209*n^2+42355*n-179670)*a(n-6)+(-2319*n^2+14211*n+ 18558)*a(n-7)+(4145*n^2-46859*n+102078)*a(n-8)+(-1756*n^2+23002*n-45636)*a(n-9) +(-944*n^2+11012*n-42516)*a(n-10)+(703*n^2-895*n-59682)*a(n-11)+(679*n^2-23797* n+190818)*a(n-12)+(-605*n^2+14945*n-98874)*a(n-13)+(-358*n^2+11434*n-88284)*a(n -14)+(694*n^2-20932*n+158016)*a(n-15)+(-25*n^2+553*n-2466)*a(n-16)+(-158*n^2+ 4850*n-37068)*a(n-17)+(122*n^2-3914*n+31140)*a(n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 18, a(7) = 46, a( 8) = 121, a(9) = 326, a(10) = 902, a(11) = 2563, a(12) = 7482, a(13) = 22436, a (14) = 69061, a(15) = 217936, a(16) = 703843, a(17) = 2321528, a(18) = 7802906, a(19) = 26665809}, [0, 1, 1, 3, 7, 18, 46, 121, 326, 902, 2563, 7482, 22436, 69061, 217936, 703843, 2321528, 7802906, 26665809, 92459087, 324640076, 1152311147, 4128660012, 14913208788, 54248976211, 198554726889, 730650527854, 2701500289774, 10030780061899, 37385491884006, 139811834983015, 524463348078919 , 1972852284903873, 7440061700862098, 28123479964732681, 106534820719422366, 404364621150152797, 1537626819874919920, 5856916585658853701, 22344848473444338301, 85375082488859578917, 326655270334164914694, 1251458071877211834372, 4800402740248712818467, 18435009208361552721601, 70873768581778805165726, 272758722453695889879801, 1050749618016811593751420, 4051591502658120253411409, 15636439360726214199428420], 12612723593676554185648\ 3194800307377653547845075552695342747960464347124140685941396629455167899495862\ 9435591304024032363615818216528556168248008884311683448051337315389535561656476\ 7497743629519969894335552018618036639646974216824333633432029437337142584087303\ 9725805123952313276805946831444314408793380354155949726245202321687069778040796\ 9192128526046945836486407110132976496317696677102729863372572565770823418082791\ 1950866053674984871584394813834573723459187975689198908416203176220569290991404\ 5326425734593626283154407970554999265972283308687915576205968548021159620259853\ 92936135687437986510] ---------------------------- (A,B)= , {1, 3}, {2, 5} [P^2*x^8-2*P^2*x^7+P^2*x^6-2*P*x^7+10*P^2*x^5+6*P*x^6-12*P^2*x^4-11*P*x^5+x^6-6 *P^2*x^3+2*P*x^4-4*x^5+15*P^2*x^2+24*P*x^3+11*x^4-7*P^2*x-32*P*x^2-18*x^3+P^2+ 14*P*x+17*x^2-2*P-7*x+1, ((x^3-x^2)*C-x^3+2*x^2-3*x+1)/((x^4+x^3-x^2)*C-x^4+x^3 +x^2-3*x+1), {-5*n*(n-5)*a(n)+15*(n-1)*(7*n-40)*a(n-1)+(-939*n^2+7899*n-12072)* a(n-2)+(4642*n^2-46970*n+99672)*a(n-3)+(-13689*n^2+162693*n-435768)*a(n-4)+( 23761*n^2-329333*n+1068720)*a(n-5)+(-20404*n^2+343076*n-1361496)*a(n-6)+(-1520* n^2-45584*n+446328)*a(n-7)+(20043*n^2-286971*n+965784)*a(n-8)+(-15250*n^2+ 262622*n-1089912)*a(n-9)+(349*n^2-15425*n+76248)*a(n-10)+(4832*n^2-86872*n+ 412104)*a(n-11)+(-1947*n^2+31575*n-120480)*a(n-12)+(-286*n^2+12614*n-111480)*a( n-13)+(282*n^2-8118*n+59112)*a(n-14)+(76*n^2-2264*n+16704)*a(n-15)+(-86*n^2+ 2518*n-18432)*a(n-16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 19, a(7) = 52, a(8) = 147, a(9) = 423, a(10) = 1238, a(11) = 3677, a(12) = 11075, a(13) = 33812, a(14) = 104615, a(15) = 328000, a(16) = 1042034, a(17) = 3354084}, [0, 1, 1, 3, 7, 19, 52, 147, 423, 1238, 3677, 11075, 33812, 104615, 328000, 1042034, 3354084, 10936391, 36113092, 120721065, 408340352, 1396807914, 4828916476, 16860229037, 59411245973, 211131765708, 756157218861, 2727406821294, 9901228694347, 36155215526276, 132726514862820, 489590236547953, 1813846148152837, 6746600605000406, 25184259099469833, 94317605537280427, 354283526037994738, 1334420672036751870, 5038711288276981877, 19069674312672718390, 72324581744727623785, 274838540754642669292, 1046299405477135741080, 3989927887919487351379, 15238934833876969988240, 58288038992686066489443, 223253719873574280875953, 856200374688579863344342, 3287577530099262769187266, 12637754481156327051941895 ], 8947891276781247630048276007843366546557238322203032062979655816610641134901\ 3615010325794805627113791504125503362298222528847300379191066851675300232489777\ 1867127297961500558550112162276594376446466270387170732959377262733135094438776\ 3704974368423711981127835844402782500362760747334789673924650136624868504706312\ 7005227842049326760762641073803501041585389283019048031357671131568550711620914\ 9296405701076581023345822011493595911293297593586813483307335054712193743481333\ 8617295222056843900076462051359904537616403982325512297508470524855706094273573\ 823551885973023047981968572494521826726988961] ---------------------------- (A,B)= , {1, 3}, {3, 4} [P^2*x^5+6*P^2*x^4-2*P*x^5+5*P^2*x^3-7*P*x^4+x^5-4*P^2*x^2-8*P*x^3+2*x^4-2*P^2* x+6*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/(C*x^3+2*x^2+x-1), { -2*n*(n-4)*a(n)+24*(n-1)*(n-5)*a(n-1)+(-91*n^2+742*n-1128)*a(n-2)+(55*n^2-769*n +1902)*a(n-3)+(350*n^2-3272*n+7176)*a(n-4)+(-489*n^2+6090*n-17904)*a(n-5)+(-448 *n^2+5089*n-14346)*a(n-6)+(717*n^2-10932*n+41232)*a(n-7)+(347*n^2-4745*n+15678) *a(n-8)+(-285*n^2+5532*n-26700)*a(n-9)+(-126*n^2+2394*n-11328)*a(n-10)+(7*n^2-\ 214*n+1512)*a(n-11)+2*(2*n-23)*(n-12)*a(n-12) = 0, a(1) = 0, a(2) = 1, a(3) = 1 , a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 32, a(8) = 76, a(9) = 185, a(10) = 466, a(11) = 1218, a(12) = 3316}, [0, 1, 1, 3, 6, 14, 32, 76, 185, 466, 1218, 3316, 9418, 27891, 85896, 273938, 900193, 3032794, 10427843, 36451218, 129132412, 462478314, 1671269034, 6084917303, 22295393902, 82136376570, 304022213355, 1129991804278, 4215437445735, 15777563789937, 59228001756876, 222938649321806, 841226821993103, 3181429628955061, 12056914227034615, 45781189001463156, 174146652062057241, 663539814811313672, 2532181420022108541, 9677330285650673276, 37034824461819859246, 141913481749823671982, 544456844370736151050, 2091222702027717345991, 8040946138009183216340, 30949901738952691304276, 119243249883733732124915, 459843062181780624818938, 1774872835266646598060165, 6856279167347269776983231], 572699220373627344339757\ 3012260565769772699004211908281996119631171422413063886357458272781821503401521\ 8716979695368528337777484964128235745141578858746679104719175052243562175847755\ 3674960035800626074090879797508959011049960942749026241805715458197674463771776\ 2470076403119466212431493486200519068780691278258279794223420970164315548970703\ 1801425673317202816641460315706295867891852255002692183048990819410520497491440\ 6498133864425378527033448263970799939681888973678864941655201522004829621744337\ 8622778612443443902193962626321718393339896788621205373467291542813551390212296\ 747715798906539486] ---------------------------- (A,B)= , {1, 3}, {3, 5} [P^2*x^7+4*P^2*x^6-3*P^2*x^5-2*P*x^6-9*P^2*x^4-P*x^5+7*P^2*x^3+12*P*x^4+x^5+5*P ^2*x^2-6*P*x^3-2*x^4-5*P^2*x-12*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2 )*C-2*x+1)/((x^4+x^3-x^2)*C+x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168) *a(n-1)+(-611*n^2+5239*n-8064)*a(n-2)+(2165*n^2-22567*n+48672)*a(n-3)+(-3727*n^ 2+47117*n-131544)*a(n-4)+(1275*n^2-26589*n+109080)*a(n-5)+(5514*n^2-67944*n+ 196752)*a(n-6)+(-7091*n^2+110683*n-417720)*a(n-7)+(-560*n^2-1352*n+43200)*a(n-8 )+(5144*n^2-85966*n+357552)*a(n-9)+(-1398*n^2+29166*n-149856)*a(n-10)+(-1288*n^ 2+23414*n-104040)*a(n-11)+(362*n^2-7948*n+42600)*a(n-12)+(82*n^2-1490*n+6144)*a (n-13)+(22*n^2-632*n+4512)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2 ) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 36, a(8) = 91, a(9) = 233, a(10) = 612, a(11) = 1642, a(12) = 4512, a(13) = 12706, a(14) = 36713, a( 15) = 108904}, [0, 1, 1, 3, 6, 15, 36, 91, 233, 612, 1642, 4512, 12706, 36713, 108904, 331662, 1036295, 3317694, 10863200, 36300017, 123504384, 426869684, 1495616211, 5301823329, 18983880005, 68561367363, 249451777905, 913419731789, 3363320867033, 12444548414964, 46243658778469, 172495562390805, 645625008592617 , 2423877338940851, 9125194802708095, 34440248284105968, 130283454654607445, 493889278278502739, 1875926900187411939, 7138144653712746625, 27207096494778467197, 103862036970408387798, 397067929996401798914, 1520078894469732823642, 5826726640838888503597, 22361841380850430409531, 85918170980653492636403, 330468250020887924359552, 1272379627434307676829573, 4903689178637816213086412], 375738536732630804875144287282430058187933717825817\ 0493261973554152430386639330406633473963171441474810691039376444767344538606656\ 3567008029515479841106642283659421878288897946925428645211505415082008754125745\ 6890401895167369142589359742210220746375906004472833932052158616951340350027352\ 5641948340956206004734333406616750921925483493191359612448318241417037524999855\ 6557454708043378659838631036644200237881839804624983974134867696938024184618873\ 5721458732142679690827456497118000031257581381218321442551680851436930240216661\ 8871010398497246708857653978714788197976431439898356668825561010549493] ---------------------------- (A,B)= , {1, 3}, {4, 5} [P^2*x^9+2*P^2*x^8+P^2*x^7-6*P^2*x^6+2*P*x^7-10*P^2*x^5+4*P*x^6+5*P^2*x^4+7*P*x ^5+12*P^2*x^3-6*P*x^4+x^5-P^2*x^2-18*P*x^3+2*x^4-4*P^2*x+6*x^3+P^2+8*P*x+x^2-2* P-4*x+1, (-C*x^3-x^2-2*x+1)/((x^5-x^3)*C+x^4+x^3-2*x^2-2*x+1), {5*n*(n-5)*a(n)-\ 6*(n-1)*(13*n-76)*a(n-1)+(451*n^2-3947*n+6120)*a(n-2)+(-1048*n^2+11558*n-25656) *a(n-3)+(26*n^2-3478*n+15576)*a(n-4)+(3584*n^2-44218*n+127104)*a(n-5)+(-2650*n^ 2+44768*n-170988)*a(n-6)+(-5837*n^2+81643*n-280320)*a(n-7)+(4546*n^2-81668*n+ 354132)*a(n-8)+(5999*n^2-100363*n+421656)*a(n-9)+(-2375*n^2+49927*n-256932)*a(n -10)+(-3455*n^2+65923*n-314280)*a(n-11)+(-66*n^2-5364*n+66456)*a(n-12)+(910*n^2 -20120*n+113580)*a(n-13)+(202*n^2-1058*n-16632)*a(n-14)+(-137*n^2+4459*n-35148) *a(n-15)+(-10*n^2+110*n+360)*a(n-16)+10*(n-15)*(5*n-76)*a(n-17)+12*(2*n-29)*(n-\ 16)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 19, a (7) = 51, a(8) = 140, a(9) = 387, a(10) = 1080, a(11) = 3040, a(12) = 8638, a( 13) = 24796, a(14) = 71986, a(15) = 211607, a(16) = 630630, a(17) = 1907727, a( 18) = 5864537}, [0, 1, 1, 3, 7, 19, 51, 140, 387, 1080, 3040, 8638, 24796, 71986, 211607, 630630, 1907727, 5864537, 18336018, 58340049, 188923706, 622518317, 2085846988, 7099927060, 24521086061, 85812940818, 303868605477, 1087286898294, 3926170738932, 14290676647174, 52377399707360, 193129902102621, 715865711148902, 2665643931930309, 9965920785608520, 37391388975972411, 140731390104063893, 531164296782686502, 2009837894215373466, 7622224858197887909, 28966813219218713371, 110291049066971136139, 420661968476245606671, 1607019787471354500663, 6148271092673196542377, 23555020916854319469045, 90359264364732502831539, 347044301116588096763491, 1334406664355759837401644, 5136339419943293193969842], 380203321251998429409492\ 2630468137042793278077917895202372524485447424620987859186727484378765303610891\ 7791488319025645519728893760218669021678634210710944093121916326550570965158420\ 3205364039038118498880519505898328248689522336997525813763148572215222838323487\ 5258418662633576669957858093734742870661247744513244784844042166969289023175718\ 1967830584121111538706655115554103102193141834116678362807966055238595758787297\ 5672959769049124477174947417630205167145357043715459350978084238662431438879139\ 1926830332162164609920620654817168290737773222710555837474646211224563846787711\ 126449901876498022] ---------------------------- (A,B)= , {1, 3}, {1, 2, 3} [P^2*x^7+P^2*x^5+P^2*x^4-P^2*x^3-2*P^2*x^2+P*x^3+2*P*x^2+P^2-2*P+1, -1/(C*x^4+x ^2-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)+(-49*n^2+393*n-596)*a(n-2)+(-\ 59*n^2+381*n-544)*a(n-3)+(104*n^2-984*n+2104)*a(n-4)+6*(17*n-54)*(n-5)*a(n-5)+( -65*n^2+777*n-2212)*a(n-6)+(-99*n^2+975*n-2484)*a(n-7)+(35*n^2-267*n+544)*a(n-8 )+(-28*n^2+36*n+700)*a(n-9)+(-6*n^2+48*n-48)*a(n-10)+(23*n^2-309*n+1024)*a(n-11 )+2*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 5, a(7) = 7, a(8) = 23, a(9) = 57, a(10) = 179, a(11) = 552, a(12) = 1814}, [0, 1, 0, 2, 1, 5, 7, 23, 57, 179, 552, 1814, 6060, 20733, 71966, 253115 , 899512, 3225291, 11652471, 42376623, 155001663, 569847648, 2104512262, 7803888773, 29044535615, 108458351666, 406235837120, 1525801983573, 5745458155322, 21685585476875, 82027771132662, 310903498503124, 1180603625903006, 4490983990761897, 17111507630942935, 65297959756683890, 249536936955007872, 954897853906243914, 3658743933453792940, 14035540959614419361, 53903864164733118499, 207242142341197138341, 797589701271939736005, 3072571369293596283828, 11847445833544720962597, 45722357601324192213121, 176602074856895638576015, 682668215694459529338547, 2640917102047184028234105, 10223899824642847234387706], 93074863379851865357324\ 9389821254860656743159906910096269988997664669843181618319817107623412844029022\ 2763371031874748827537270284065459195126485484369359522998908245229151435881480\ 4666070132142268905127428297945782516389335286482103183657357693017975519521864\ 7139544952574582838071421108721060286047270693377261841170350328905599654749202\ 2981614475090628860613478296923240625703919780301852668096810915012905353216098\ 3271731067764970842523668172181158662528987163347833350645691340316624376451255\ 3171013535740716279587200640649741278704019278007580602881876793394087826498503\ 3976692554836776633] ---------------------------- (A,B)= , {1, 3}, {1, 2, 4} [P^2*x^9-3*P^2*x^7+7*P^2*x^6-P^2*x^5-2*P*x^6-6*P^2*x^4-2*P*x^5+7*P^2*x^3+7*P*x^ 4-8*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/((x^5-x^4+ x^2)*C+x^4-x^3+x^2+x-1), {-4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)+(-281*n^2+ 2189*n-3270)*a(n-2)+(610*n^2-6064*n+12912)*a(n-3)+(-221*n^2+4235*n-14394)*a(n-4 )+(-1420*n^2+13054*n-27612)*a(n-5)+(2445*n^2-28347*n+79242)*a(n-6)+(-705*n^2+ 10641*n-35142)*a(n-7)+(-2047*n^2+24127*n-73314)*a(n-8)+(2434*n^2-31036*n+97848) *a(n-9)+(-587*n^2+7985*n-27894)*a(n-10)+(-686*n^2+9164*n-25824)*a(n-11)+(518*n^ 2-7262*n+22404)*a(n-12)+(-138*n^2+3126*n-17916)*a(n-13)+(84*n^2-3108*n+24336)*a (n-14)-24*(n-12)*(2*n-35)*a(n-15)-6*(n-11)*(n-14)*a(n-16)+12*(2*n-25)*(n-14)*a( n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 2, a(6) = 7, a(7) = 13, a(8) = 35, a(9) = 86, a(10) = 239, a(11) = 680, a(12) = 2047, a(13) = 6377, a(14) = 20545, a(15) = 67917, a(16) = 229432, a(17) = 788724}, [0, 1, 0, 2, 2, 7, 13, 35, 86, 239, 680, 2047, 6377, 20545, 67917, 229432, 788724, 2750925, 9710501, 34624425, 124520415, 451118152, 1644782795, 6030467501, 22219492610, 82228466416, 305503984748, 1139068731105, 4260663749354, 15983596602847, 60122017973943, 226704289393856, 856780821977739, 3244813611477319, 12312723346695195, 46806279390848785, 178232554585773445, 679759568597954216, 2596366609417034954, 9930704365917397955, 38033114783450629036, 145840809808710049886, 559888867019275884234, 2151804830068795418152, 8278603163049012955430, 31881679921997960284756, 122894890429386122078131, 474149263508412640103181, 1830907944128537046117088, 7075725135827985940818635] , 59967431894565129364588961368380536383790647883344786416354999975298355209146\ 2374070230331135899626760234248005733660101529558063076921258394852806751630153\ 4375137895428449845912018093215006372462467887693364566904805652830026528065390\ 6872577843902116590969478265020788897194758992360579854129910633143975257816891\ 5608101514125713222700981067858281999964613236031227192173548573306618631551066\ 7189068719213981636951561542433698635335396916012682958954338344094940770485868\ 2759865708439363316595790447069011973293520754590281564384566829841962984884054\ 72103836021761541484973825364865164136265654] ---------------------------- (A,B)= , {1, 3}, {1, 2, 5} [P^2*x^8-4*P^2*x^7+8*P^2*x^6-2*P^2*x^5-13*P^2*x^4-3*P*x^5+11*P^2*x^3+14*P*x^4+4 *P^2*x^2-12*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+ 1)/((x^4-x^2)*C-x^4+2*x^3-x^2-2*x+1), {5*n*(n-5)*a(n)-3*(n-1)*(29*n-168)*a(n-1) +(603*n^2-5181*n+7980)*a(n-2)+(-2036*n^2+21406*n-46380)*a(n-3)+(2900*n^2-38320* n+110016)*a(n-4)+(1372*n^2-5534*n-16932)*a(n-5)+(-9704*n^2+124156*n-377352)*a(n -6)+(9074*n^2-138394*n+506508)*a(n-7)+(3914*n^2-51664*n+176592)*a(n-8)+(-11171* n^2+179569*n-732588)*a(n-9)+(5240*n^2-86146*n+363600)*a(n-10)+(1528*n^2-34034*n +179064)*a(n-11)+(-2467*n^2+50771*n-259776)*a(n-12)+(1090*n^2-22874*n+119976)*a (n-13)+(-219*n^2+4857*n-26916)*a(n-14)+6*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 2, a(6) = 8, a(7) = 17, a(8) = 50, a(9) = 133, a(10) = 383, a(11) = 1104, a(12) = 3283, a(13) = 9938, a(14) = 30749, a(15 ) = 96979}, [0, 1, 0, 2, 2, 8, 17, 50, 133, 383, 1104, 3283, 9938, 30749, 96979 , 311682, 1019368, 3388737, 11435360, 39119545, 135487397, 474483543, 1678229881, 5988573265, 21538518969, 78010550710, 284317737962, 1042020215857, 3838088184131, 14200313133998, 52751056566844, 196673392723935, 735687992399917 , 2760236066403439, 10384606678394996, 39167471758047967, 148069216783912831, 560957449921461968, 2129373121072445375, 8097828999460130410, 30847869223335106772, 117698747872028190642, 449742444817228042011, 1720920506959480468088, 6593650634182754896621, 25294484656184560225594, 97147142026733502676054, 373517199589848769515011, 1437612884651386753961962, 5538606690970952688359874], 419339510580231871510435461897181769448569615093223\ 4807613636850511357393796956245438441823314547663011164501755401752180453201978\ 2468204204064939777162953967020284791688796794758318221558203055215914094609743\ 5662075361495587503910942143200571339968190421177755424124399754548072031732872\ 6235501255042932406501963858019450648317111162100949843996217856405299200945485\ 3165439498917659249102841870972850958293964877596867578736731783694657847177768\ 8540165952757040873897952223915086313560339338104755184351351606431852940672525\ 8595807440974152185797879882377112144758905931439196607902702414649077] ---------------------------- (A,B)= , {1, 3}, {1, 3, 4} [P^2*x^5+6*P^2*x^4-2*P*x^5-7*P*x^4+x^5-5*P^2*x^2+2*x^4+8*P*x^2+P^2-3*x^2-2*P+1, (C*x^3+x^2-1)/(C*x^3+2*x^2-1), {-2*n*(n-4)*a(n)+(n-1)*(17*n-90)*a(n-1)+(-22*n^2 +226*n-372)*a(n-2)-(11*n-30)*(11*n-59)*a(n-3)+(228*n^2-2442*n+5940)*a(n-4)+(284 *n^2-2930*n+7500)*a(n-5)+(-592*n^2+7639*n-24342)*a(n-6)+(-264*n^2+3216*n-9540)* a(n-7)+(529*n^2-8266*n+32160)*a(n-8)+(84*n^2-1146*n+3480)*a(n-9)-2*(n-10)*(49*n -522)*a(n-10)+(7*n^2-214*n+1512)*a(n-11)+2*(2*n-23)*(n-12)*a(n-12) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 5, a(7) = 6, a(8) = 18, a(9) = 36, a(10) = 101, a(11) = 271, a(12) = 820}, [0, 1, 0, 2, 1, 5, 6, 18, 36, 101 , 271, 820, 2551, 8320, 27824, 95195, 331006, 1166404, 4154206, 14927871, 54047469, 196954715, 721784405, 2658315333, 9833829760, 36522067926, 136124051295, 508998276877, 1908863109906, 7177971548521, 27058402245986, 102233294946052, 387077786043977, 1468431998980596, 5580847047287752, 21246337862207591, 81013600102277044, 309370149943353512, 1183058528378408876, 4530077370403535524, 17367763089276628017, 66663956676877021868, 256164956913176034717, 985381632363561287710, 3794215170936308978779, 14623475250305165813345, 56411852068430055622965, 217802400705516636966448, 841608707277165556042481, 3254594790932063954227111], 2831057910161071711883919\ 1948018847314372398712223467963319509142998463963104845874639400305202812403373\ 9482082668222541185489732229031325911277451380924318167090569622163163615431275\ 8954924910558507768675847846200528545839610895580619520679192674494723027005081\ 3682983105528539521113825628550288863998588725595731060989470712355443915188035\ 7730706622018789244891519084082007640579824749156942708930940873141353560404654\ 2046686690047426383068979068107052870507367177503632332875672915536833669544621\ 7396026007073672331468405519283038236916237695527389877277935126426922371411870\ 45486951420275524] ---------------------------- (A,B)= , {1, 3}, {1, 3, 5} [P^2*x^7+2*P^2*x^6-8*P^2*x^5+5*P*x^5+10*P^2*x^3-2*P^2*x^2-14*P*x^3+x^4-3*P^2*x+ 2*P*x^2+4*x^3+P^2+6*P*x-2*P-3*x+1, (-C*x^2-x^2-x+1)/((x^4-x^2)*C+x^3-2*x^2-x+1) , {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)+(-339*n^2+3009*n-4692)*a(n-2)+(579 *n^2-6663*n+15180)*a(n-3)+(568*n^2-4178*n+5664)*a(n-4)+(-3008*n^2+36604*n-\ 103656)*a(n-5)+(1789*n^2-27887*n+99708)*a(n-6)+(4014*n^2-56058*n+194820)*a(n-7) +(-4578*n^2+73608*n-294144)*a(n-8)+(-1381*n^2+23075*n-96276)*a(n-9)+(2980*n^2-\ 54350*n+246600)*a(n-10)+(-338*n^2+6514*n-30336)*a(n-11)+(-450*n^2+9330*n-48840) *a(n-12)+5*(n-12)*(7*n-89)*a(n-13)+10*(n-12)*(2*n-25)*a(n-14) = 0, a(1) = 0, a( 2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 6, a(7) = 8, a(8) = 26, a(9) = 54, a(10) = 152, a(11) = 390, a(12) = 1117, a(13) = 3226, a(14) = 9814}, [0, 1, 0, 2, 1, 6, 8, 26, 54, 152, 390, 1117, 3226, 9814, 30668, 98930, 326776, 1102704, 3786207, 13193199, 46540106, 165887996, 596526150, 2161349554, 7882354666, 28910770269, 106570622176, 394586317148, 1466783962892, 5471862060606, 20478597440840, 76865890969168, 289284436621691, 1091385597592033, 4126755715221085, 15636598748165331, 59362585809055800, 225767527761929762, 860073547851014400, 3281615873226038411, 12539352825625436120, 47979853863939589327, 183824691287160159640, 705143806861587197650, 2708014648612006168076, 10411103206274783809686, 40067297948457429726695, 154350482153450015740283, 595154010718056857910672, 2296860141453378715823340], 1845508449338930449326875265785359809078590936438063988221647367630914230614513\ 5362452410960768048136126657161506116701072834411914969501615762167859344575770\ 8845393154558877057181061426899198731245323024164288341004979616232136015392312\ 5413113011413090330896488516453459094862912378056692832864852270425328070455717\ 6766811823010706894708822139368819533822669691269767829934474380704177802164407\ 6456113430241763878581328756460845123658489505919289348404883978402104517656163\ 1476589452262842677014164606644166934346670689142476691645316063423066786980362\ 627156832505943568940570587123300032568503] ---------------------------- (A,B)= , {1, 3}, {1, 4, 5} [P^2*x^9-2*P^2*x^7+2*P*x^8-8*P^2*x^6+4*P*x^7+P^2*x^5+2*P*x^6+x^7+16*P^2*x^4-11* P*x^5+4*x^6+6*P^2*x^3-24*P*x^4+8*x^5-6*P^2*x^2-8*P*x^3+9*x^4-2*P^2*x+10*P*x^2+2 *x^3+P^2+4*P*x-4*x^2-2*P-2*x+1, ((-x^4-x^3)*C-x^3-2*x^2-x+1)/((x^5-x^4-x^3)*C+x ^4-3*x^2-x+1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+(211*n^2-1961*n+3108)*a(n-\ 2)+(42*n^2+330*n-1728)*a(n-3)+(-1394*n^2+15442*n-38064)*a(n-4)+(807*n^2-13335*n +45048)*a(n-5)+(4368*n^2-58188*n+189360)*a(n-6)+(-2359*n^2+41603*n-169836)*a(n-\ 7)+(-8003*n^2+129703*n-527904)*a(n-8)+(1547*n^2-33067*n+169032)*a(n-9)+(7512*n^ 2-146928*n+725088)*a(n-10)+(1113*n^2-19179*n+79884)*a(n-11)+(-2624*n^2+58954*n-\ 337704)*a(n-12)+(-593*n^2+5485*n+22800)*a(n-13)+(758*n^2-24634*n+201000)*a(n-14 )+(144*n^2-2040*n+3072)*a(n-15)+(-330*n^2+11244*n-94608)*a(n-16)-(97*n-1512)*(n -17)*a(n-17)+(26*n^2-778*n+5832)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 2, a(6) = 8, a(7) = 16, a(8) = 45, a(9) = 110, a(10) = 294, a(11) = 775, a(12) = 2118, a(13) = 5888, a(14) = 16840, a( 15) = 49430, a(16) = 149261, a(17) = 463265, a(18) = 1476584, a(19) = 4823418}, [0, 1, 0, 2, 2, 8, 16, 45, 110, 294, 775, 2118, 5888, 16840, 49430, 149261, 463265, 1476584, 4823418, 16109305, 54859960, 189991363, 667467976, 2373480544, 8526606542, 30896745155, 112778656045, 414242378134, 1529740267271, 5675560405722, 21143469127904, 79052115158825, 296516796170402, 1115425683248487, 4206946112914899, 15904705923845781, 60259934242488228, 228770338618722889, 870106177110931843, 3315031877323755817, 12650107994859066532, 48344338247533901592, 185012241812612126360, 708959587345310784234, 2720037693404198951878, 10447927189764249889810, 40175303557645300317153, 154645193181810643960991, 595852032673299089190705, 2297965701029347587603700], 180631437286599003458478255438415586629156226663127\ 8634783606019152339147986018209858218905491675072838103909887104233273209445731\ 0885803444102674217780290876802125897813144420659933950357415810694787968843479\ 4093688248422786309751197524411016898658266197472825034405984508325078251541207\ 2989727491716640647745752863561816025262703858436346572562780935382843524870011\ 6749386546907596828135239129976693143826468806921707525867437266073997930773104\ 2129608928631750211873703342918947278642108283375153521323408257293433818477412\ 3470770170336410787648724972952666748631401078963162231877325813319795] ---------------------------- (A,B)= , {1, 3}, {2, 3, 4} [P^2*x^9+4*P^2*x^8+5*P^2*x^7-2*P*x^8+5*P^2*x^6-6*P*x^7+6*P^2*x^5-4*P*x^6+x^7+P^ 2*x^4-6*P*x^5+2*x^6-P^2*x^3-3*P*x^4-P^2*x^2+4*P*x^3+3*x^4-2*P^2*x-3*x^3+P^2+4*P *x+x^2-2*P-2*x+1, (C*x^4+x^3+x-1)/((x^5+x^4)*C+x^4+x^3+x^2+x-1), {-4*n*(n-4)*a( n)+48*(n-1)*(n-5)*a(n-1)+(-200*n^2+1592*n-2400)*a(n-2)+(326*n^2-3266*n+7044)*a( n-3)+(-168*n^2+2112*n-6384)*a(n-4)+(120*n^2-1512*n+5256)*a(n-5)+(-132*n^2+3090* n-13884)*a(n-6)+(-427*n^2+3523*n-3726)*a(n-7)+(176*n^2-2258*n+5484)*a(n-8)+(179 *n^2-5081*n+32802)*a(n-9)+(197*n^2-2939*n+4758)*a(n-10)+(163*n^2+1577*n-34530)* a(n-11)+(44*n^2+2014*n-26964)*a(n-12)+(41*n^2+253*n-7794)*a(n-13)+(501*n^2-\ 14949*n+111642)*a(n-14)+(710*n^2-21956*n+168984)*a(n-15)+(679*n^2-20743*n+ 158094)*a(n-16)+(626*n^2-19226*n+146940)*a(n-17)+(314*n^2-9914*n+77652)*a(n-18) +28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 13, a(7) = 28, a(8) = 63, a(9) = 146, a(10) = 352, a(11) = 889, a(12) = 2366, a(13) = 6647, a(14) = 19670, a(15) = 60978, a(16) = 196589, a(17) = 654143, a(18) = 2231372, a(19) = 7759945}, [0, 1, 1, 3, 6, 13, 28, 63, 146, 352 , 889, 2366, 6647, 19670, 60978, 196589, 654143, 2231372, 7759945, 27395855, 97874826, 353020850, 1283285662, 4695499756, 17276406742, 63872237485, 237137909789, 883717041982, 3304298545565, 12392463881100, 46604579391212, 175707119118556, 663973780599233, 2514406181089575, 9540567899497055, 36266561386232957, 138094859107204371, 526670296401078086, 2011621835179254866, 7694143019126568688, 29467575855624873069, 112996724194199400151, 433804902656324955642, 1667257170471262045842, 6414530469443439555899, 24703465824008174974252, 95226982200003098846602, 367410243617973145208643, 1418773408779988997655300, 5483124483976263142828826], 465700096006265996924236\ 5298692665606212737816663891713541471356449481612612849786333991553020333848739\ 7197358810795783129036528627753182919963027497043090619535568662869343218032993\ 1543301662611732335159729229812558722049775680338021399304208153935650054514932\ 4536392704041110216129384074418340697799763354162162664029480274844940829038152\ 3819043108713793266938963537638271529569803106152180814153645525677532520349849\ 5496074691317067649515029721046235096198765168410063172653151303466498310128065\ 4069228703756037825379554592687085753659875743725298720160236226028412329330130\ 687393343004430320] ---------------------------- (A,B)= , {1, 3}, {2, 3, 5} [P^2*x^8+P^2*x^6-2*P*x^7+4*P^2*x^5+2*P*x^6-6*P^2*x^4-5*P*x^5+x^6+2*P*x^4-2*x^5+ 7*P^2*x^2+8*P*x^3+5*x^4-5*P^2*x-16*P*x^2-8*x^3+P^2+10*P*x+9*x^2-2*P-5*x+1, ((x^ 3-x^2)*C-x^3+x^2-2*x+1)/((x^4+x^3-x^2)*C-x^4-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*( 29*n-168)*a(n-1)+(-627*n^2+5355*n-8232)*a(n-2)+(2420*n^2-24892*n+53352)*a(n-3)-\ 3*(1781*n-7353)*(n-8)*a(n-4)+(6385*n^2-92045*n+309168)*a(n-5)+(-2420*n^2+51004* n-234120)*a(n-6)+(-3624*n^2+39180*n-80568)*a(n-7)+(5365*n^2-80345*n+287736)*a(n -8)+(-2288*n^2+39376*n-159096)*a(n-9)+(-643*n^2+11495*n-63336)*a(n-10)+(1078*n^ 2-19430*n+96264)*a(n-11)+(-407*n^2+4963*n-8160)*a(n-12)+(-94*n^2+4370*n-39720)* a(n-13)+(102*n^2-2922*n+21288)*a(n-14)+(12*n^2-444*n+3840)*a(n-15)+(-22*n^2+614 *n-4272)*a(n-16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 32, a(8) = 76, a(9) = 184, a(10) = 458, a (11) = 1173, a(12) = 3102, a(13) = 8490, a(14) = 24088, a(15) = 70862, a(16) = 215876, a(17) = 679307}, [0, 1, 1, 3, 6, 14, 32, 76, 184, 458, 1173, 3102, 8490 , 24088, 70862, 215876, 679307, 2200423, 7309023, 24801212, 85670730, 300348182 , 1065992867, 3822320642, 13823747533, 50359018128, 184596709650, 680297787984, 2518873125053, 9364921706513, 34945697503634, 130830607195265, 491260331508090, 1849618739856709, 6981024623739332, 26407934075454558, 100103909039963168, 380190547132888248, 1446522969550939606, 5512768116584929104, 21041984723958082894, 80432815283378529783, 307872278368918193165, 1179949465988045432138, 4527720962086593487099, 17393621584933862549119, 66890993683087542487280, 257506309331857754913088, 992265683728235831733163, 3827074836291156944746636], 300840638376655463518317930108720957643164857467892\ 6845676833522037963703466769493870055671849078025086205843448273726001530756794\ 7833996910038367822504995120885272576571773858874888339593182308407396881684463\ 2825340356771598989896394406559634017683722885452695617031160423288724797227273\ 8728161599299945533993351710182765080977233702989399178027909130556449337786463\ 1297084571990362019792244014058324590757895916744664487814469735981417275956513\ 3931807202716226607950451030489286386845627427836298907648152732762930929522218\ 2016717437944681693900771473451051633425141875819653782992569335743550] ---------------------------- (A,B)= , {1, 3}, {2, 4, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-2*P*x^10-P^2*x^8-2*P*x^9+2*P^2*x^7-2*P*x^8+x^9+9*P ^2*x^6-2*P^2*x^5-8*P*x^6+2*x^7-6*P^2*x^4-7*P*x^5-x^6+9*P^2*x^3+12*P*x^4+7*x^5+P ^2*x^2-12*P*x^3-5*x^4-4*P^2*x-4*P*x^2+3*x^3+P^2+8*P*x+3*x^2-2*P-4*x+1, ((x^5-x^ 4+x^3)*C+x^4+2*x-1)/((x^6-x^4+x^3)*C+x^5+x^4-x^3+x^2+2*x-1), {-5*n*(n-5)*a(n)+6 *(n-1)*(13*n-76)*a(n-1)+(-467*n^2+4063*n-6288)*a(n-2)+(1261*n^2-13541*n+29688)* a(n-3)+(-988*n^2+14612*n-44760)*a(n-4)+(-2388*n^2+25272*n-61728)*a(n-5)+(5528*n ^2-75730*n+250476)*a(n-6)+(-1950*n^2+35400*n-151056)*a(n-7)+(-4919*n^2+69829*n-\ 244164)*a(n-8)+(5410*n^2-89846*n+368628)*a(n-9)+(276*n^2+4668*n-62556)*a(n-10)+ (-2886*n^2+47922*n-187752)*a(n-11)+(466*n^2-11318*n+59088)*a(n-12)+(473*n^2-\ 1873*n-47244)*a(n-13)+(268*n^2-8258*n+76188)*a(n-14)+(27*n^2-11307*n+158412)*a( n-15)+(-446*n^2+16198*n-154404)*a(n-16)+(152*n^2-3262*n+15540)*a(n-17)+(669*n^2 -26457*n+257676)*a(n-18)+(140*n^2-5398*n+51972)*a(n-19)+(-42*n^2+1794*n-18480)* a(n-20)+(123*n^2-4593*n+42804)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-\ 35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 7, a(6) = 18, a(7) = 45, a(8) = 114, a(9) = 291, a(10) = 752, a(11) = 1969, a(12) = 5235, a(13) = 14166, a(14) = 39120, a(15) = 110542, a(16) = 320374, a(17) = 953970, a(18) = 2920827, a(19) = 9192921, a(20) = 29703954, a(21) = 98325988, a (22) = 332562346, a(23) = 1146043157}, [0, 1, 1, 3, 7, 18, 45, 114, 291, 752, 1969, 5235, 14166, 39120, 110542, 320374, 953970, 2920827, 9192921, 29703954, 98325988, 332562346, 1146043157, 4012846699, 14240705000, 51107225499, 185139929339, 675961879324, 2484339897774, 9181925186963, 34099099451129, 127162474657732, 475944115953020, 1787104034773223, 6729600970560879, 25406730713149839, 96144142498840149, 364604507915535778, 1385382707589805892, 5273509058963947861, 20107307553065417094, 76785893460851399246, 293654747047969661278, 1124553907430728079564, 4311961914415246733185, 16553436615303427932697, 63619508537857777972116, 244767778273914465919144, 942660267444725099100802, 3633878829302023459127518], 2812480435657507206729294\ 7581690944254228409634958148410065680450864446681932317467752937854491549560856\ 8732914597663113894186361189330202188834761860907753069721123038650910780473533\ 1595044296742415885231085744338358923403224543412269363033709059763439115047430\ 4917849970994950049300440666460667823008866933757734183127924720290660365995043\ 1668281786620074857576687911144278353202576114080514157666434526915926820947243\ 0845905908023860893695992404934341822077874117885923335531446370091242914359812\ 8012791141682820301912902718261197702218307956856533079028553028894669984724886\ 38495234742494635] ---------------------------- (A,B)= , {1, 3}, {3, 4, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7+6*P^2*x^5-4*P*x^6+x^7+7*P^2*x^4-9*P*x^5+2*x^6+P^2*x^ 3-10*P*x^4+3*x^5-3*P^2*x^2+4*x^4-2*P^2*x+4*P*x^2-x^3+P^2+4*P*x-x^2-2*P-2*x+1, ( C*x^4+x^3+x^2+x-1)/(C*x^4+x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1 )+(-235*n^2+2135*n-3360)*a(n-2)+(237*n^2-2913*n+6936)*a(n-3)+(388*n^2-4040*n+ 8832)*a(n-4)+(-270*n^2+4686*n-15696)*a(n-5)+(-1198*n^2+16232*n-53364)*a(n-6)+(-\ 32*n^2-1916*n+13776)*a(n-7)+(1522*n^2-25892*n+109524)*a(n-8)+(1075*n^2-19145*n+ 85236)*a(n-9)+(-257*n^2+8791*n-62436)*a(n-10)+(-839*n^2+20431*n-123696)*a(n-11) +(-406*n^2+9410*n-54216)*a(n-12)+(-21*n^2-813*n+14340)*a(n-13)+(102*n^2-3354*n+ 27000)*a(n-14)+10*(n-15)*(5*n-76)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 31, a(8) = 71, a (9) = 163, a(10) = 381, a(11) = 906, a(12) = 2207, a(13) = 5537, a(14) = 14401, a(15) = 39043, a(16) = 110738}, [0, 1, 1, 3, 6, 14, 31, 71, 163, 381, 906, 2207 , 5537, 14401, 39043, 110738, 328796, 1019426, 3284414, 10928987, 37328148, 130147236, 461118935, 1654413089, 5994839725, 21895778274, 80493628410, 297517087704, 1104736154299, 4118424659243, 15407012934078, 57816548983077, 217568124383738, 820793917188676, 3103651247306551, 11760603117928904, 44651193484703667, 169832603675412301, 647051040067221343, 2469087454557603962, 9435630851036460043, 36107911167419691653, 138355015865402542392, 530781762345892317039, 2038618157482137670931, 7838399239185702828311, 30169316852890858015686, 116232389292961593487640, 448219973491146867479539, 1729967495441534417494119], 139691821340779599222361917462099985730329436296207\ 6927691687570429244487733693798501650609581715627407289379107599061775312296722\ 1829224570283888925995444818275369519223759847978788223247825495766156577336942\ 2438576993594410158695831393059553492861272213303648862490812529417950398298967\ 4816944803866184672128528351308419027504627825633368600565757793125686370246146\ 0294478796439979324585055730136062928589194244978402743707798381375808074344214\ 7433344992004039398789052607762203905920125058863688498242010630559599585232537\ 8673711508561488443658658689176086224651471510170689913449465533758825] ---------------------------- (A,B)= , {1, 3}, {1, 2, 3, 4} [P^2*x^9+2*P^2*x^8+3*P^2*x^6-2*P^2*x^4+3*P*x^4-2*P^2*x^2+2*P*x^2+P^2-2*P+1, -1/ (C*x^5+x^4+x^2-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)+(-62*n^2+560*n-888 )*a(n-2)+(-86*n^2+650*n-1020)*a(n-3)+(188*n^2-1796*n+3816)*a(n-4)+(-35*n^2+41*n +690)*a(n-5)+(60*n^2-222*n-1044)*a(n-6)+48*(3*n-10)*(n-5)*a(n-7)+(-322*n^2+3460 *n-9264)*a(n-8)+(16*n^2+140*n-1080)*a(n-9)+(-10*n^2-278*n+2004)*a(n-10)+(-115*n ^2+1207*n-3018)*a(n-11)+(98*n^2-1676*n+7200)*a(n-12)+(34*n^2-466*n+1500)*a(n-13 )+3*(n-10)*(7*n-75)*a(n-14)+6*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 4, a(7) = 4, a(8) = 12, a(9) = 23, a(10) = 66, a(11) = 182, a(12) = 569, a(13) = 1824, a(14) = 6087, a(15) = 20727}, [0, 1 , 0, 2, 1, 4, 4, 12, 23, 66, 182, 569, 1824, 6087, 20727, 71872, 252510, 896956 , 3215012, 11612920, 42226316, 154434928, 567716285, 2096503547, 7773783694, 28931258788, 108031557670, 404625392684, 1519715615645, 5722419097583, 21598236200202, 81696085396795, 309642116638109, 1175799713160802, 4472663066547863, 17041543096706316, 65030436478195562, 248512763221976150, 950972395997805300, 3643681717998189996, 13977685081294138614, 53681407416228995995, 206385965306309746014, 794291455959504283427, 3059854323447653364736, 11798371217272447975014, 45532826976613270178148, 175869521993468575004305, 679834725245319024468542, 2629949425630937854231473], 2320616172491146148623644063391504737825977955648152791515986810766262971957606\ 0780720153602590478172968148195305963657867663522495844637992189195591864094588\ 3330176253156489640024347613397941000420268946325488438119807123426308539721216\ 4724259846411521506709777015516688462115232647417585524188197715144445634280819\ 3360054594573720901294574961697667176641330210313473967297835179243045584086022\ 2239350344758729049712197850224214630396860490984861428107133565932740817900928\ 5087297750740757035152764119135824419139069499729688398851611306829576604982133\ 943619254577237375397678799116541066005072] ---------------------------- (A,B)= , {1, 3}, {1, 2, 3, 5} [P^2*x^8-2*P^2*x^7+4*P^2*x^6-2*P^2*x^5-5*P^2*x^4-P*x^5+7*P^2*x^3+6*P*x^4-8*P*x^ 3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4-x^2)*C-x^4+ x^3-x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(355*n^2-3125*n+4860)*a (n-2)+(-778*n^2+8516*n-18948)*a(n-3)+(280*n^2-5504*n+19536)*a(n-4)+(1858*n^2-\ 20012*n+48924)*a(n-5)+(-3118*n^2+41426*n-130800)*a(n-6)+(648*n^2-11472*n+45036) *a(n-7)+(2766*n^2-40668*n+152016)*a(n-8)+(-2799*n^2+43965*n-176508)*a(n-9)+(598 *n^2-7808*n+26568)*a(n-10)+(690*n^2-14604*n+74232)*a(n-11)+(-699*n^2+13923*n-\ 69072)*a(n-12)+(352*n^2-7076*n+35472)*a(n-13)+(-81*n^2+1767*n-9612)*a(n-14)+2*( n-12)*(2*n-25)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a (6) = 5, a(7) = 6, a(8) = 18, a(9) = 35, a(10) = 95, a(11) = 241, a(12) = 692, a(13) = 2036, a(14) = 6331, a(15) = 20296}, [0, 1, 0, 2, 1, 5, 6, 18, 35, 95, 241, 692, 2036, 6331, 20296, 67046, 226362, 778372, 2715835, 9591289, 34215452, 123103842, 446161560, 1627275521, 5968089739, 21995496973, 81418449711, 302556409572, 1128282709284, 4220996908736, 15837061533683, 59578504571560, 224680961740459, 849223571962365, 3216501265555727, 12206360233875490, 46405679019935695, 176720211969130327, 674037794254856627, 2574675364606299582, 9848318981629678537, 37719661526874662868, 144646264251336630156, 555329599231079527865, 2134378367940351634209, 8211905895853938656368, 31626081765901028912974, 121914210475174294564356, 470382326344861355112542, 1816423066951475433071090], 149132158559446156444117923455989629857757780318780\ 9682953282389460148497308112592007365297984444765171727116640056590675878152579\ 9179750343005911714258243336173060499321969846790411138916433635918710063666415\ 0463999195967478138331601100182305647843093650678203007771690579576168878800292\ 6103721783775116227590285423509799878622857377490606504741701017103610804383805\ 7608756769983964689988049138730032151494288035392409820443329958955939723558402\ 9539572351681831518405294844700642613783271844688934978140101038974369351222452\ 8967894409342619655471145384137534609611887626430196748703577849057058] ---------------------------- (A,B)= , {1, 3}, {1, 2, 4, 5} [P^2*x^11-P^2*x^8+6*P^2*x^7-2*P*x^8+2*P^2*x^6-2*P*x^7-8*P^2*x^5-2*P*x^6+5*P^2*x ^4+5*P*x^5+7*P^2*x^3-6*P*x^4+x^5-4*P^2*x^2-10*P*x^3+2*x^4-2*P^2*x+6*P*x^2+3*x^3 +P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/((x^6-x^5+x^3)*C+x^5-x^3+2*x^2+x-1) , {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-227*n^2+2077*n-3276)*a(n-2)+(115*n^2 -1841*n+4848)*a(n-3)+(1056*n^2-10992*n+25632)*a(n-4)+(-1643*n^2+21661*n-65268)* a(n-5)+(-1509*n^2+17337*n-49212)*a(n-6)+(4159*n^2-59501*n+209712)*a(n-7)+(-83*n ^2+1627*n-4296)*a(n-8)+(-4298*n^2+68350*n-274968)*a(n-9)+(2133*n^2-34299*n+ 137916)*a(n-10)+(1708*n^2-28862*n+117000)*a(n-11)+(-1666*n^2+34250*n-181560)*a( n-12)+(-87*n^2-2931*n+47820)*a(n-13)+(406*n^2-10772*n+76824)*a(n-14)+(-95*n^2+ 7519*n-79656)*a(n-15)+(-75*n^2+75*n+10536)*a(n-16)+(162*n^2-6354*n+57888)*a(n-\ 17)+(-24*n^2+948*n-8760)*a(n-18)-3*(n-13)*(n-16)*a(n-19)+2*(n-12)*(n-11)*a(n-20 )+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 2, a(6) = 7, a(7) = 12, a(8) = 30, a(9) = 64, a(10) = 156, a(11) = 379, a(12) = 988, a(13) = 2684, a(14) = 7704, a(15) = 23145, a(16) = 72538, a(17) = 235361 , a(18) = 785717, a(19) = 2682972, a(20) = 9327607, a(21) = 32895441}, [0, 1, 0 , 2, 2, 7, 12, 30, 64, 156, 379, 988, 2684, 7704, 23145, 72538, 235361, 785717, 2682972, 9327607, 32895441, 117355858, 422632104, 1533970248, 5604532158, 20593034764, 76039213698, 281989618462, 1049776273580, 3921522695656, 14694718186165, 55219499741651, 208037650394490, 785628776796697, 2973295479251106, 11275423943854451, 42838942763016664, 163041973317795689, 621533453740366850, 2372950173942774902, 9072578274773917371, 34733903443807369753, 133144529258363607723, 510985953698834803150, 1963279516638719573805, 7551214262127390498851, 29072939488250946752546, 112040862620712518803641, 432174169668141408030102, 1668464771103887976941436], 1358718383924798049583654705919343985703835299909658649800748674031931506539566\ 2290606537527006708339670942503760503941669314987423025465297675940362484256354\ 9457058402197641817464835954103290864394311493502706663835976911399701019010052\ 7545106612415838419338213497666703261699621871108933849659754853286856614331880\ 6042466301186577218167575229576192864514727163283046827134582680306479629569503\ 2864006525329046356311233292622910399324751568734795912196580878034407200417848\ 6122304104706538098821895536874354638603887911035934391514747716191315237654649\ 182048218918404254108750651060324267551105] ---------------------------- (A,B)= , {1, 3}, {1, 3, 4, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7+6*P^2*x^5-4*P*x^6+x^7+4*P^2*x^4-9*P*x^5+2*x^6-3*P^2* x^3-4*P*x^4+3*x^5-4*P^2*x^2+6*P*x^3+x^4+6*P*x^2-3*x^3+P^2-2*x^2-2*P+1, (C*x^4+x ^3+x^2-1)/(C*x^4+x^3+2*x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-59*n^ 2+637*n-1068)*a(n-2)-3*(3*n-8)*(25*n-167)*a(n-3)+(282*n^2-3618*n+9384)*a(n-4)+( 803*n^2-9709*n+28020)*a(n-5)+(-343*n^2+5831*n-21516)*a(n-6)+(-1625*n^2+24277*n-\ 90144)*a(n-7)-2*(5*n-28)*(37*n-273)*a(n-8)+(1328*n^2-25504*n+121776)*a(n-9)+( 974*n^2-18160*n+84048)*a(n-10)+(-116*n^2+5356*n-45408)*a(n-11)-2*(n-12)*(137*n-\ 2227)*a(n-12)+(-21*n^2-165*n+5916)*a(n-13)+(102*n^2-3354*n+27000)*a(n-14)+10*(n -15)*(5*n-76)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 5, a(7) = 5, a(8) = 15, a(9) = 23, a(10) = 59, a(11) = 125, a(12) = 336, a(13) = 909, a(14) = 2740, a(15) = 8591, a(16) = 28248}, [0, 1, 0, 2, 1, 5, 5, 15, 23, 59, 125, 336, 909, 2740, 8591, 28248, 95409, 329566, 1156322, 4108004, 14737785, 53302847, 194098192, 710938954, 2617323125, 9679160384, 35938582958, 133921486104, 500675001179, 1877369284228, 7058635985140, 26605562126544, 100512417461608, 380528799512804, 1443474541743042, 5485609474541693, 20882442920877285, 79621466937385004, 304038029158278577, 1162612383496790395, 4451591105938812396, 17066166788556820649, 65503874485293642538, 251698500173317940849, 968169633786830898377, 3727829189839632783491, 14367214334037285640842, 55421854400335381716017, 213974880658807017230214, 826799944759538630826172], 6959001128112872331399396359543301519869201027960463073596337641566608102534950\ 1840969195171670081432064743675816558873396649174539996401472481621975325072676\ 8037722450078662961588883128678947425604086461255243875072260278119371286073964\ 5003490393733393273204809965896812532490249030931715673332525460756547843345918\ 3351800030200599525728477055295781072786600158650749522919785941779368518246345\ 5617020472577140509764474055211167113435902187848586421641095761028992966979177\ 2795989501947723999513064893593252232546094453857390649917359967402471299450022\ 32875656799954529416039590899324986023529] ---------------------------- (A,B)= , {1, 3}, {2, 3, 4, 5} [P^2*x^11+4*P^2*x^10+8*P^2*x^9-2*P*x^10+9*P^2*x^8-6*P*x^9+8*P^2*x^7-10*P*x^8+x^ 9+9*P^2*x^6-8*P*x^7+2*x^8+4*P^2*x^5-8*P*x^6+3*x^7-2*P^2*x^4-7*P*x^5+x^6+4*P*x^4 +3*x^5-P^2*x^2+2*P*x^3-x^4-2*P^2*x-2*x^3+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^5+x^4+x^ 3+x-1)/((x^6+x^5)*C+x^5+2*x^4+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n -1)+(-251*n^2+2251*n-3528)*a(n-2)+(408*n^2-4530*n+10248)*a(n-3)+(-142*n^2+2330* n-8208)*a(n-4)+(-214*n^2+1796*n-2160)*a(n-5)+(502*n^2-5168*n+12084)*a(n-6)+(-\ 688*n^2+10670*n-40008)*a(n-7)+(-413*n^2+2647*n+3996)*a(n-8)+(432*n^2-7032*n+ 27720)*a(n-9)+(90*n^2-4452*n+35892)*a(n-10)+(539*n^2-11245*n+51240)*a(n-11)+( 680*n^2-6712*n-16824)*a(n-12)+(250*n^2+3772*n-84312)*a(n-13)+(30*n^2+6714*n-\ 89364)*a(n-14)+(250*n^2-4328*n+15528)*a(n-15)+(1218*n^2-40932*n+346284)*a(n-16) +(2171*n^2-78037*n+698460)*a(n-17)+(2627*n^2-94447*n+847404)*a(n-18)+(2649*n^2-\ 94857*n+847992)*a(n-19)+(2146*n^2-78410*n+713520)*a(n-20)+(1211*n^2-45421*n+ 423084)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0 , a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 13, a(7) = 27, a(8) = 58, a(9) = 126, a(10) = 279, a(11) = 632, a(12) = 1479, a(13) = 3609, a(14) = 9265, a(15) = 25177, a(16) = 72530, a(17) = 220686, a(18) = 703863, a(19) = 2331811, a(20) = 7954411, a(21) = 27738897, a(22) = 98341866, a(23) = 353032547 }, [0, 1, 1, 3, 6, 13, 27, 58, 126, 279, 632, 1479, 3609, 9265, 25177, 72530, 220686, 703863, 2331811, 7954411, 27738897, 98341866, 353032547, 1279632128, 4673926553, 17178674059, 63469381483, 235546866438, 877564708284, 3280759985283 , 12302869813181, 46264307355897, 174415510697921, 659069393749709, 2495768128063718, 9469660864422105, 35996474266400147, 137064796279888756, 522736884150520437, 1996583104988561046, 7636576079513118059, 29246959943836551373, 112150310925023752141, 430554104507725591973, 1654759193384709951686, 6366434076732921069647, 24518202265122101156217, 94512724837388802441793, 364654174773959260534327, 1408130011612826559914702], 1157395517935496976127382654718713039557585839944587914559570994169700038130423\ 4676583427113335825051736758153719689865773401292051663958602888475891268941859\ 5547508615167928400168561288257489436123098681037649983458884590131726672385291\ 8010299242524045156779328118020801517799639340190622619196063268961692926801119\ 0928950706226301586525548544856454468309694656106529432010761928736764008363645\ 7423199877831054345469434200501260028037299568785709892850237506726947001845907\ 2067543332384449291454492879910852594164025427090556035129022154104633680895428\ 250794515139681567732894199295427480228543] ---------------------------- (A,B)= , {1, 3}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+P^2*x^8+3*P^2*x^7+2*P^2*x^6-3*P^2*x^5-P^2*x^4+3* P*x^5+2*P*x^4-2*P^2*x^2+2*P*x^2+P^2-2*P+1, -1/(C*x^6+x^5+x^4+x^2-1), {-5*n*(n-5 )*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-75*n^2+753*n-1236)*a(n-2)+(-110*n^2+958*n-1608 )*a(n-3)+(232*n^2-2516*n+5736)*a(n-4)+3*(n-5)*(5*n-64)*a(n-5)+(-144*n^2+1488*n-\ 3720)*a(n-6)+(382*n^2-3974*n+8988)*a(n-7)+(-70*n^2+1454*n-6432)*a(n-8)+(-465*n^ 2+5919*n-18060)*a(n-9)+(76*n^2-932*n+3288)*a(n-10)+(-126*n^2+1536*n-5232)*a(n-\ 11)+(-173*n^2+2023*n-5664)*a(n-12)+(111*n^2-2895*n+16152)*a(n-13)+(115*n^2-2171 *n+10404)*a(n-14)+(112*n^2-2132*n+10284)*a(n-15)+2*(34*n-383)*(n-12)*a(n-16)+( 45*n^2-1035*n+5964)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 4, a(7) = 3, a(8) = 9, a(9) = 12, a(10) = 32, a(11) = 69, a(12) = 199, a(13) = 580, a(14) = 1858, a(15) = 6117, a(16) = 20791, a(17) = 71914, a(18) = 252498}, [0, 1, 0, 2, 1, 4, 3, 9, 12, 32, 69, 199 , 580, 1858, 6117, 20791, 71914, 252498, 896464, 3212640, 11602905, 42187192, 154285307, 567150940, 2094375828, 7765787596, 28901203252, 107918483652, 404199430361, 1518108554256, 5716346358405, 21575251587246, 81608952158385, 309311283690864, 1174541684208997, 4467872296692470, 17023273573110031, 64960672623333555, 248246022445300706, 949951270614659118, 3639768127533408340, 13962669045796724529, 53623731187276377338, 206164207321715854917, 793437996696030042384, 3056566648960135290264, 11785695290827955761776, 45483912334277295514244, 175680613861233606542463, 679104595170402177123605], 5804197544655219834356226873207992739780944740960973963228260996262132877827577\ 9638260412058927427910923522131256054832752344532881573742642907183137074141918\ 9997955721954403003533346574402488105040892232459773837061040978090058627375296\ 9507190170606617336345031954654286326244942668070065649634326954157264387241439\ 9781043325751881339661399982280397133749102619713387050312868487910476415000132\ 6076467896513359598411092413131999312055314706081144976030196250929136629769501\ 7813595588704381803049855108755152925516077446908153308024319005237079711881577\ 36012513536479309409099495516183883249986] ---------------------------- (A,B)= , {1, 4}, {} [P^2*x^5+4*P^2*x^4+5*P^2*x^3-2*P*x^4-P^2*x^2-6*P*x^3-3*P^2*x-P*x^2+x^3+P^2+6*P* x+2*x^2-2*P-3*x+1, ((x^2-x)*C-x^2-x+1)/((x^3+x^2-x)*C-x^3-2*x^2-x+1), {-2*n*(n-\ 2)*a(n)+3*(n-1)*(9*n-26)*a(n-1)-(n-2)*(131*n-495)*a(n-2)+(255*n^2-2061*n+3894)* a(n-3)+(-81*n^2+1509*n-4782)*a(n-4)+(-274*n^2+1856*n-2184)*a(n-5)+(135*n^2-2067 *n+6810)*a(n-6)+(52*n^2+328*n-4680)*a(n-7)+(22*n^2+10*n-900)*a(n-8)+(140*n^2-\ 2548*n+11544)*a(n-9)+(106*n^2-1922*n+8700)*a(n-10)+12*(2*n-17)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 98, a(8 ) = 284, a(9) = 850, a(10) = 2620, a(11) = 8293}, [0, 1, 2, 5, 13, 35, 98, 284, 850, 2620, 8293, 26877, 88936, 299676, 1025799, 3559492, 12497714, 44330844, 158647584, 572166049, 2077579863, 7589109818, 27869278312, 102828000679, 381007809398, 1417130631828, 5289097625745, 19802149582497, 74350387047977, 279891843176997, 1056189599282035, 3994453226478852, 15137872867151505, 57477842110994136, 218628547704482714, 832976248795730420, 3178566180991349186, 12146768306843537621, 46481796210474838449, 178099596815045645008, 683233366935639659604, 2624050448891200732295, 10088939818661762848852, 38829741478365531696370, 149591308856649193952303, 576833012997589208380935, 2226261950327047601573595, 8599372268040610226959593, 33243347424089143323088437, 128609955185016843047310376], 114139753627770432250\ 1846165018574658093008746969633152530782442531801600158366777839508577435630292\ 0695019644594097869985374901281581095971120517997478710630376820031294105661162\ 3787898061362972514686555699347011527264241585190397945112914488514772901166886\ 4419662943666594000705358359171728770903461342085988965538781117252578486118358\ 4575721126296298787082848035666996029467879715796943275620848149565815434485748\ 4985162528143656533505930304293260936392140452610058349350809093008510891263706\ 6115811618562866977262619596023882801081946332376920335459788381392885759470815\ 17266905083210887168687] ---------------------------- (A,B)= , {1, 4}, {1} [P^2*x^5+2*P^2*x^4-3*P^2*x^2+3*P*x^2+P^2-2*P+1, (-C*x+1)/((x^3-x)*C-x^3-x^2+1), {-2*n*(n-2)*a(n)+6*(n-1)*(3*n-10)*a(n-1)-2*(n-2)*(17*n-90)*a(n-2)+(-57*n^2+267* n-270)*a(n-3)+(128*n^2-922*n+1548)*a(n-4)+(43*n^2-251*n+390)*a(n-5)+(-98*n^2+ 892*n-2064)*a(n-6)+(-46*n^2+326*n-540)*a(n-7)+3*(n-6)*(7*n-47)*a(n-8)+6*(n-6)*( 2*n-13)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 23, a(8) = 64, a(9) = 191}, [0, 1, 1, 2, 4, 9, 23, 64, 191, 599, 1948, 6508, 22194, 76921, 270099, 958699, 3433841, 12394906, 45042074, 164642011, 604938541, 2232965570, 8276456989, 30790837634, 114937415514, 430361256871, 1615930514318, 6083172039808, 22954478946444, 86807407106172, 328949166304185, 1248882163375950, 4749841871072163, 18094713236195971, 69038884750550145, 263793556627774938, 1009312130495860923, 3866726896447161971, 14831562294610740000, 56954359015957128256, 218946131853219424616, 842545682854457000293, 3245435586350481740697, 12512815359874744138387, 48285890048233493203843, 186487887787147450650659, 720824372882141752217882, 2788310451132590455188226, 10793717234723256916153893, 41812443444966289857489007], 39127130361586173185096383771383755333162248315468\ 6158231309304911720473227516143393514601614909147333421991728796334664457387272\ 4477108108490662812418334736856586843709683084008320340869441608374880662673099\ 5891475522058302945188671740159504109872057574653519353656565004049735189105207\ 4362378552177978613987885362202780128165390322303570870533580769168570568014992\ 3534758306240094876196172049724395557982812195469651963074016638111982825962397\ 7801509837092950318029284374493265074194305487940984562153934731606704228135284\ 536298433583613646967490229065591435496404754331818817511555823344431927] ---------------------------- (A,B)= , {1, 4}, {2} [4*P^2*x^5+11*P^2*x^4+6*P^2*x^3-8*P*x^4-6*P^2*x^2-10*P*x^3-4*P^2*x+7*P*x^2+4*x^ 3+2*P^2+8*P*x-x^2-4*P-4*x+2, ((x^2-x)*C-2*x^2+1)/((x^3+x^2-x)*C-2*x^3-3*x^2+1), {-4*n*(n-2)*a(n)+48*(n-1)*(n-3)*a(n-1)-4*(n-2)*(47*n-192)*a(n-2)+(202*n^2-1970* n+4116)*a(n-3)+(276*n^2-1224*n+288)*a(n-4)+(-458*n^2+4594*n-10740)*a(n-5)+(-188 *n^2-662*n+9492)*a(n-6)+(151*n^2-779*n-3282)*a(n-7)+(-115*n^2+4004*n-22788)*a(n -8)+(212*n^2-3910*n+18312)*a(n-9)+(496*n^2-9200*n+42480)*a(n-10)+96*(2*n-17)*(n -10)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 10, a(6) = 23, a(7) = 58, a(8) = 150, a(9) = 408, a(10) = 1160, a(11) = 3444}, [0, 1, 2, 4, 10 , 23, 58, 150, 408, 1160, 3444, 10634, 33974, 111715, 376194, 1291686, 4505904, 15923326, 56875644, 204969288, 744249036, 2719820498, 9994877756, 36908521036, 136880187392, 509583600638, 1903622805352, 7133342429958, 26805820937406, 100991106028339, 381384530823490, 1443405396269990, 5473785617955936, 20796889126834150, 79152354225664364, 301740585442953000, 1152026955565964396, 4404630890803945634, 16863088358412329900, 64641512756461904468, 248085699882753602256, 953189835014090198632, 3666219504792425839320, 14115456213920445400404, 54398462018260051081148, 209832658274103833378910, 810093806811338307830548, 3130081681242684697800380, 12103688710335388342231712 , 46838851378016248111841364], 420514696363405171247439197375725219297641330869\ 2839476091576903548711188160088575067721744000015138192671343965646939810326102\ 6660801205749878030303567635888086464942090343950544345849265713512946038603023\ 7114820500831171740866206566708395118655682071098835663213658356664810860498185\ 0516639341483250943191776959435083898239389325787407173309689702188554017457419\ 2594020952637895638462944806482144497182492196010447858996150344442510890573442\ 5883918742770812516997202517443299093961158332595961970223786572359303572218827\ 32543447411688907180480147874583099805696021568557473968403358939651142208] ---------------------------- (A,B)= , {1, 4}, {3} [P^2*x^3+6*P^2*x^2+3*P*x^3+x^4-5*P^2*x-14*P*x^2-4*x^3+P^2+10*P*x+8*x^2-2*P-5*x+ 1, (C*x^2-x^2+2*x-1)/(C*x^2+2*x-1), {-n*(n-3)*a(n)+(n-1)*(17*n-64)*a(n-1)+(-117 *n^2+759*n-1052)*a(n-2)+(416*n^2-3414*n+6524)*a(n-3)+(-801*n^2+8001*n-19304)*a( n-4)+(778*n^2-9306*n+27300)*a(n-5)+(-272*n^2+3990*n-14336)*a(n-6)+(-33*n^2+375* n-944)*a(n-7)+2*(n-8)*(2*n-17)*a(n-8) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 97, a(8) = 276}, [0, 1, 2, 5, 13, 35, 97, 276, 805, 2404, 7343, 22916, 72980, 236857, 782275, 2625265, 8938718, 30834165, 107608097, 379454447, 1350434278, 4845475311, 17512579630, 63703732426, 233063976059, 857067469749, 3166309373615, 11745982220846, 43736933794243, 163409819344676, 612415062653080, 2301627415153461, 8672479097155517, 32755202434296043, 123984146212620561, 470251102237219228, 1786931561888319841, 6802111091955394040, 25935000481117133188, 99035202677825435351, 378714703735090725951, 1450161164914390585861, 5559907771213558938638, 21341984205122852560893, 82014231825056416720796, 315503776035235853259224, 1214944984225803265071151, 4682988152685541482167655, 18066884936114900040405865, 69761879491768621433998564], 5745795992269380943940\ 5632928006766718230746937712435554960262041608051051189735542659849478438346446\ 8219685579304178356530528726554959187765576531052315855381189276320891299236376\ 7679945193516450379563817157611004524452025308392013778495067696813594601352958\ 2741481088080538063183440937127497492414448929327909677106840749698518636168010\ 8273009337239440684720885814785823047604460421448127559954135200817479723576571\ 8827202926621456860361954822842603666421635193761290442578029545068031867531457\ 3454772379743780609302713906587215239180466767760926401234663918507348337907227\ 754183116849281198112] ---------------------------- (A,B)= , {1, 4}, {4} [P^2*x^7+2*P^2*x^6-2*P^2*x^5-2*P*x^6-4*P^2*x^4+5*P^2*x^3+7*P*x^4+x^5+5*P^2*x^2-\ 4*P*x^3-2*x^4-5*P^2*x-12*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x +1)/((x^4+x^3-x^2)*C-x^2-2*x+1), {-4*n*(n-4)*a(n)+3*(n-1)*(23*n-110)*a(n-1)+(-\ 479*n^2+3617*n-5334)*a(n-2)+(1681*n^2-15751*n+32346)*a(n-3)+(-2959*n^2+33853*n-\ 89214)*a(n-4)+(1717*n^2-26563*n+92682)*a(n-5)+(1885*n^2-19351*n+44706)*a(n-6)+( -2561*n^2+37751*n-135714)*a(n-7)+(-302*n^2-622*n+21516)*a(n-8)+(1178*n^2-15566* n+44868)*a(n-9)+(-14*n^2+854*n-3156)*a(n-10)+(-214*n^2+1822*n+3132)*a(n-11)+(-\ 63*n^2+1605*n-10662)*a(n-12)+(-46*n^2+1330*n-9276)*a(n-13)+(34*n^2-934*n+6372)* a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 34, a(7) = 91, a(8) = 247, a(9) = 681, a(10) = 1907, a(11) = 5428, a(12) = 15718, a(13) = 46347, a(14) = 139272, a(15) = 426748}, [0, 1, 2, 5, 13, 34, 91, 247, 681, 1907, 5428, 15718, 46347, 139272, 426748, 1333664, 4250293, 13805223, 45657894, 153569996, 524567797, 1816971727, 6372216142, 22594381313, 80890377809, 292049393406, 1062225837492, 3888453391320, 14314983819285, 52961886704291, 196808227540431, 734203612075922, 2748535781897750, 10321500309893955, 38869429344234135, 146751794447595742, 555354360854344149, 2106119673076493515, 8002901073843351912, 30464775194547038080, 116165431297310622612, 443642393864998142203, 1696761182778079219593, 6498289469027695599245, 24919035857957156665334, 95671812608986483752464, 367728400202965746278139, 1414924467907835514891553, 5449756952682875978671227, 21010470258968648438683836], 16380664478016022115622\ 5381819900554870578007806391437170045758035879842303141133156234953966202847270\ 9282803474264071220282921881876134628000154958005687820421438077234660294506006\ 9913473179387130432090392245714351898619797384237369488244003802791166462658245\ 1043969067972264802353077525463363049181435236892747275973690805638043062043296\ 9829338668342179676769062441898845405188400158436157644649879097601931131927399\ 8821691882718801021916503834911231856841681744210057625108880856563330770245105\ 3536932620640570471115180218870720441258004626592001781011771129627910537499898\ 18928149375919915022] ---------------------------- (A,B)= , {1, 4}, {5} [P^2*x^9+6*P^2*x^8+14*P^2*x^7-2*P*x^8+11*P^2*x^6-10*P*x^7-11*P^2*x^5-16*P*x^6+x ^7-19*P^2*x^4+5*P*x^5+4*x^6+4*P^2*x^3+30*P*x^4+3*x^5+13*P^2*x^2+2*P*x^3-10*x^4-\ 7*P^2*x-28*P*x^2-6*x^3+P^2+14*P*x+15*x^2-2*P-7*x+1, ((x^4+x^3-x^2)*C+x^3+x^2-3* x+1)/((x^5+2*x^4+x^3-x^2)*C+x^4+2*x^3-3*x+1), {-5*n*(n-5)*a(n)+15*(n-1)*(7*n-40 )*a(n-1)+(-923*n^2+7783*n-11904)*a(n-2)+(4336*n^2-44198*n+94080)*a(n-3)+(-11286 *n^2+136524*n-369000)*a(n-4)+(13962*n^2-203616*n+681168)*a(n-5)+(549*n^2+25689* n-196452)*a(n-6)+(-18919*n^2+297647*n-1136700)*a(n-7)+(6687*n^2-170643*n+937884 )*a(n-8)+(16917*n^2-278127*n+1107936)*a(n-9)+(-5059*n^2+147029*n-933828)*a(n-10 )+(-10045*n^2+179819*n-753924)*a(n-11)+(-232*n^2-30148*n+360516)*a(n-12)+(1768* n^2-29372*n+73728)*a(n-13)+(-55*n^2+21143*n-271032)*a(n-14)+(851*n^2-21361*n+ 134964)*a(n-15)+(1776*n^2-55188*n+428976)*a(n-16)+(1145*n^2-36481*n+290376)*a(n -17)+(338*n^2-11014*n+89496)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 97, a(8) = 275, a(9) = 794, a(10) = 2328, a(11) = 6918, a(12) = 20811, a(13) = 63331, a(14) = 194892 , a(15) = 606408, a(16) = 1907768, a(17) = 6068771, a(18) = 19521847, a(19) = 63504467}, [0, 1, 2, 5, 13, 35, 97, 275, 794, 2328, 6918, 20811, 63331, 194892, 606408, 1907768, 6068771, 19521847, 63504467, 208902464, 694858958, 2336584207, 7940984546, 27265439825, 94536277956, 330831769179, 1167867779513, 4156245724821, 14902839531135, 53807010010542, 195506159236374, 714489002835577 , 2624948441263899, 9690121413053196, 35927843782421577, 133737757444091985, 499622443564723614, 1872641477469050026, 7039899921128383736, 26537815127838727606, 100288336103808165271, 379868118895466029827, 1441891728818084903274, 5483762336168145366724, 20893303774832795294274, 79737232100193171773184, 304782223880949048387246, 1166666205276907462953981, 4471886004196713839763979, 17162658969322451979388633], 11648326575987658323705\ 7468909054537112814208500548680844434811477848157712734443681692236315728113580\ 2913474651639084004384301217500019869110462829401816055086594225298826046864693\ 6808487967931970918223118783093379476093216375661648440562250892075102376057342\ 9822169371238288725958100794359575727210981608526327060944939591594108773278374\ 3565817142243924323840138278484177947765421970625940888374047114452121229524767\ 2703467027663888989339187573303684406428624481855893967031156577018514097555808\ 5794144896630944664397256157463318701240036147122081479221882253390432303195498\ 18966075162527262048] ---------------------------- (A,B)= , {1, 4}, {1, 2} [4*P^2*x^5+3*P^2*x^4-4*P^2*x^3-5*P^2*x^2+4*P*x^3+P^2*x+5*P*x^2+2*P^2-2*P*x-4*P+ x+2, (-C*x+x+1)/((x^3-x)*C-2*x^3-x^2+x+1), {8*n*(n-2)*a(n)-6*(n-1)*(11*n-38)*a( n-1)+(n-2)*(85*n-531)*a(n-2)+(291*n^2-1779*n+2634)*a(n-3)+(-231*n^2+2109*n-4314 )*a(n-4)+(-524*n^2+3640*n-5748)*a(n-5)+(122*n^2-1792*n+5736)*a(n-6)+(421*n^2-\ 3083*n+4902)*a(n-7)+(-36*n^2+990*n-4740)*a(n-8)+(-80*n^2+880*n-2256)*a(n-9)+32* (2*n-15)*(n-8)*a(n-10) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 3, a (6) = 4, a(7) = 11, a(8) = 28, a(9) = 81, a(10) = 254}, [0, 1, 1, 1, 3, 4, 11, 28, 81, 254, 822, 2753, 9407, 32673, 114952, 408697, 1465981, 5298255, 19274280 , 70519905, 259325242, 957937952, 3552936219, 13225832347, 49396554425, 185046425506, 695126631433, 2617874436666, 9882102251006, 37384300939921, 141710047107905, 538173976705681, 2047391080093075, 7801636859635036, 29773705989808931, 113789405461216498, 435467422464498558, 1668632724404421755, 6401566365107711791, 24586904115525624181, 94533880752699480764, 363842254576132014099, 1401711288966509586436, 5405093560377919410714, 20860656277971699799043, 80577736799065046647809, 311492767770048883131299, 1205067134788705712989876, 4665417009857772751132095, 18074743828423958146816186], 16993013642498371265474564363365541573915143240673\ 5062117998309286343403140189646764754618700017417652975934184438342668644449913\ 8668577804535385177486585986974710021350165097366828055520444274124298210179131\ 1711007009274471335546138323324220464530962058214746819604225120019827235808152\ 1364547082320087380196663192875102541818911085057983431981553556943476168610096\ 3726143984735489187509232607307641978667867115653474361953550268327286375176396\ 9562524471537319162009625424930499904453253481936991750179941097997573840648161\ 667967861176488560062272576204355732249878314742893229814987175496257217] ---------------------------- (A,B)= , {1, 4}, {1, 3} [P^2*x^3+2*P^2*x^2+P*x^3+x^4-3*P^2*x-6*P*x^2-2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, ( C*x^2-x^2+x-1)/(C*x^2+x-1), {-3*n*(n-3)*a(n)+(n-1)*(41*n-160)*a(n-1)+(-215*n^2+ 1437*n-2020)*a(n-2)+(550*n^2-4632*n+9020)*a(n-3)+(-717*n^2+7413*n-18456)*a(n-4) +(410*n^2-5334*n+16780)*a(n-5)+(-8*n^2+570*n-3328)*a(n-6)+(-65*n^2+855*n-2752)* a(n-7)+2*(n-8)*(2*n-17)*a(n-8) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5 ) = 4, a(6) = 9, a(7) = 22, a(8) = 58}, [0, 1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141 , 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547, 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902, 23270147619699743008876442], 20620394747288742061669319910103934085903345618329\ 1715378965578360799240733272707344702709064202535007494570512648907314563828535\ 8843475138072822037848253305286123250568424029693759751379935200728863416320039\ 5140724567853271620588615540166760404039743906059955415955497107994889893445576\ 3470830014136519759929559203359598727848957753017155858006502959082978373945675\ 1199691579148822616939932632495214989071950133678784121932827450101813972043823\ 8584645774044796309691669916911826585844374075524013987511018537974151041464543\ 193319955651139624307621041190230809646893587328043840209190795261172632] ---------------------------- (A,B)= , {1, 4}, {1, 4} [P^2*x^7-3*P^2*x^5+2*P*x^5+5*P^2*x^3+P*x^4-6*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P* x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4-x^2)*C-x^2-x+1), {4*n*(n-4)*a(n)-5*(n-1)* (11*n-54)*a(n-1)+(281*n^2-2189*n+3270)*a(n-2)+(-619*n^2+6109*n-12954)*a(n-3)+( 344*n^2-5078*n+15648)*a(n-4)+(792*n^2-7686*n+17124)*a(n-5)+(-1018*n^2+13846*n-\ 45096)*a(n-6)+(-364*n^2+2656*n-1656)*a(n-7)+(852*n^2-11994*n+41400)*a(n-8)+(72* n^2+36*n-3768)*a(n-9)+(-365*n^2+5069*n-17010)*a(n-10)+(40*n^2-742*n+3516)*a(n-\ 11)+2*(25*n-117)*(n-10)*a(n-12)-2*(n-10)*(5*n-54)*a(n-13)+4*(2*n-23)*(n-12)*a(n -14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 18 , a(8) = 42, a(9) = 105, a(10) = 278, a(11) = 778, a(12) = 2288, a(13) = 7022, a(14) = 22335}, [0, 1, 1, 2, 4, 8, 18, 42, 105, 278, 778, 2288, 7022, 22335, 73153, 245364, 839015, 2914468, 10255741, 36479430, 130937377, 473622108, 1724605914, 6316322255, 23251500467, 85980295241, 319226224982, 1189523666626, 4447049015654, 16674992218991, 62696335959463, 236321740890602, 892820804031848 , 3380244869771577, 12822947859944372, 48733017557763520, 185524183431933688, 707409707484458395, 2701412489682712478, 10330478069571571524, 39557002864956395072, 151658500073513221882, 582130468764584121091, 2236950476984562392049, 8604969997363843431734, 33134145836011694296505, 127706760057167682982632, 492655743793197979418127, 1902155814723412333814161, 7350284277484973605957154], 620489324582715135226962385888421088122851136960667\ 9719451976928337800340288597957881052660622970433715519995247694811819742294567\ 0502892569607154765493770280515686139623365525764546118709224559782851908359858\ 9717839459635360013496141142810841750410132538518811196318931167288188369963327\ 6217989827441973995513210395381760438789429984573856003283200687648544000031040\ 8613405466112814732769006469908528812339533825133038756951641646951442240111229\ 3263383352277805063230035817995309349971843742514820255544537733905116084960218\ 1405649181697268405247155207529138017304712576222396818850878534347774] ---------------------------- (A,B)= , {1, 4}, {1, 5} [P^2*x^9+4*P^2*x^8+5*P^2*x^7-3*P^2*x^6-12*P^2*x^5+2*P*x^6-3*P^2*x^4+9*P*x^5+9*P ^2*x^3+4*P*x^4+4*P^2*x^2-10*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x +1, (-C*x^2-2*x+1)/((x^5+x^4-x^2)*C+x^4+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)-3*(n-1) *(29*n-168)*a(n-1)+(603*n^2-5181*n+7980)*a(n-2)+(-2048*n^2+21484*n-46476)*a(n-3 )+(3107*n^2-40021*n+113040)*a(n-4)+(-57*n^2+8595*n-48996)*a(n-5)+(-4796*n^2+ 67444*n-222588)*a(n-6)+(1095*n^2-31635*n+166248)*a(n-7)+(6133*n^2-93053*n+ 341652)*a(n-8)+(-904*n^2+28556*n-169188)*a(n-9)+(-4806*n^2+83478*n-356712)*a(n-\ 10)+(-713*n^2+4993*n+13500)*a(n-11)+(1966*n^2-39824*n+200040)*a(n-12)+(908*n^2-\ 15634*n+64488)*a(n-13)+(-166*n^2+4940*n-34344)*a(n-14)+(-166*n^2+3830*n-21984)* a(n-15)+(-10*n^2+152*n-288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a( 2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 22, a(8) = 57, a(9) = 154, a(10) = 430, a(11) = 1234, a(12) = 3629, a(13) = 10917, a(14) = 33552, a( 15) = 105235, a(16) = 336475, a(17) = 1095431}, [0, 1, 1, 2, 4, 9, 22, 57, 154, 430, 1234, 3629, 10917, 33552, 105235, 336475, 1095431, 3626655, 12193745, 41580232, 143605771, 501685154, 1770675909, 6306843001, 22647118031, 81912750024, 298182722100, 1091698263610, 4017416361830, 14851968872649, 55133164861773, 205427346701985, 768010622474861, 2880091979582878, 10830755739534572, 40833985546639391, 154313851312399221, 584424171929067221, 2217790596367420981, 8431770080248011449, 32111919681297027846, 122493299634984189352, 467962723415639823836, 1790283338152048012099, 6858141633658326772862, 26304574629019570673755, 101010204246685994321336, 388311256051356121799520, 1494340137996011966174850, 5756384321917573432299658] , 43391240201600435970814935636490355488708721582017637589157349212608755067263\ 7894576799527863733068733896071741410217326096586022662135040596815343708622007\ 8101416995021479506163577260736734263597613921404716059049912841997778943400638\ 2172744722287246134232190113152351078968973697709573769647615080972731376979542\ 3507171958151133839995860167954739721373031701045051899114830231748853670596879\ 6983664195351568015142434630688012986474054208592491775413006679292326660313992\ 4550172584380729402007671358900624826283511000196136808072998438137642794461751\ 60734218812209334834326534008697742341602590] ---------------------------- (A,B)= , {1, 4}, {2, 3} [P^2*x^8-3*P^2*x^6-2*P*x^7+P^2*x^5+2*P*x^6+9*P^2*x^4+4*P*x^5+x^6+4*P^2*x^3-8*P* x^4-2*x^5-4*P^2*x^2-9*P*x^3-2*P^2*x+6*P*x^2+5*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C *x^3-x^3+x^2+x-1)/((x^4+x^3)*C-x^4+2*x^2+x-1), {-3*n*(n-3)*a(n)+36*(n-1)*(n-4)* a(n-1)+(-137*n^2+981*n-1420)*a(n-2)+(96*n^2-1200*n+2808)*a(n-3)+(434*n^2-3510*n +6832)*a(n-4)+(-523*n^2+6723*n-20144)*a(n-5)+(-717*n^2+5451*n-6912)*a(n-6)+(731 *n^2-9543*n+28732)*a(n-7)+(569*n^2-3417*n-6212)*a(n-8)+(-99*n^2-1773*n+26880)*a (n-9)+(185*n^2-6993*n+45472)*a(n-10)+(-403*n^2+13029*n-93764)*a(n-11)+(-514*n^2 +12552*n-73724)*a(n-12)+(436*n^2-12906*n+92552)*a(n-13)+(323*n^2-8139*n+51172)* a(n-14)+(-190*n^2+5262*n-36176)*a(n-15)+(-70*n^2+1806*n-11480)*a(n-16)+28*(2*n-\ 25)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 10, a(6) = 23, a(7) = 57, a(8) = 144, a(9) = 378, a(10) = 1030, a(11) = 2917, a(12) = 8584, a(13) = 26193, a(14) = 82611, a(15) = 268238, a(16) = 892933, a(17) = 3035326}, [0, 1, 2, 4, 10, 23, 57, 144, 378, 1030, 2917, 8584, 26193, 82611, 268238, 892933, 3035326, 10498902, 36841130, 130828848, 469239052, 1697138420, 6181949514, 22655919931, 83470859006, 308958666130, 1148272894190, 4283276521719, 16029939315635, 60169417980735, 226459853966802, 854432032833162 , 3231076643723090, 12244014674760701, 46487877273678785, 176821448376511438, 673683705357182121, 2570721655239374970, 9824009693248066636, 37593966271214525374, 144048146777671722514, 552618024382159198142, 2122465896864448878118, 8160703983806502586038, 31409489107284189015787, 121008961285182336517854, 466634051603838338415106, 1801017569868018250843112, 6957030598682360053712671, 26895363335207725278067185], 23178712200325925288326\ 3272649385016593539651858730752093024293597630988815009290654659436165169833787\ 7673677407466828661707306207878561325808190476658987389681414535767556636000505\ 6536058436784459326148198870201249107287072916495102513543822748321114151300826\ 6641030015754108703700040987069490166399935265733289317027727621341864851929602\ 4067867017628021939662350124343886947722742994170574004988113263987597100414012\ 3700394403291918064232346939162202258541587964756070756395049426063232057263270\ 5040766780258456004287979607516742927393785634197072058085434678980209024473047\ 26100829614998200058] ---------------------------- (A,B)= , {1, 4}, {2, 4} [P^2*x^7+2*P^2*x^6-2*P*x^6+2*P^2*x^4+5*P^2*x^3+P*x^4+x^5-P^2*x^2-8*P*x^3-2*x^4-\ 3*P^2*x+3*x^3+P^2+6*P*x+x^2-2*P-3*x+1, ((x^3-x^2)*C-x^2-x+1)/((x^4+x^3-x^2)*C-x ^3-2*x^2-x+1), {-4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)+(-275*n^2+2153*n-3222) *a(n-2)+(551*n^2-5537*n+11838)*a(n-3)+(-95*n^2+2333*n-8502)*a(n-4)+(-1045*n^2+ 11563*n-30834)*a(n-5)+(769*n^2-11299*n+40002)*a(n-6)+(675*n^2-8361*n+25422)*a(n -7)-2*(n-6)*(301*n-2263)*a(n-8)+(-44*n^2+1916*n-14712)*a(n-9)+(162*n^2-1038*n-\ 3444)*a(n-10)+(-62*n^2+278*n+4524)*a(n-11)+(-37*n^2+175*n+2334)*a(n-12)+(-22*n^ 2+550*n-3396)*a(n-13)+(34*n^2-934*n+6372)*a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 10, a(6) = 22, a(7) = 53, a(8 ) = 126, a(9) = 310, a(10) = 779, a(11) = 2019, a(12) = 5409, a(13) = 15033, a( 14) = 43412, a(15) = 130236}, [0, 1, 2, 4, 10, 22, 53, 126, 310, 779, 2019, 5409, 15033, 43412, 130236, 405055, 1301470, 4301524, 14559260, 50254832, 176266982, 626360874, 2249587629, 8150637859, 29747863248, 109244765806, 403309570957, 1495763511639, 5569659161540, 20813099147967, 78023226613129, 293328269677520, 1105635309425414, 4177339246649316, 15817316668017089, 60011896345987908, 228112244178557378, 868578817694550906, 3312594025457438794, 12652601061586681798, 48395265046665384900, 185353231654168290175, 710784393052625567583, 2728884985305952846028, 10488515936014194565318, 40355105160266339455347, 155422824484927724073695, 599157606441096982853236, 2311836283710095859888731, 8927791424539796805234341], 737249510768227197444896\ 0881224623145826623611098100983789324128025346086554966817315826627802477813562\ 9205890176951444068035122307954073786348922846395941325498987037659191737942391\ 9934650035685713061131087815588775808398905613156320614371638651715414397618945\ 7646711335080506542867809249466507249242860349825437266993629083271623320474634\ 1680511819746503843943522439782218093987408077756833847109175510742411730268062\ 0047088334382344556519710966063738424454352660948822515792001430998273311620471\ 2344467610259284304000405471659899626239868838862979028559049969525466644260742\ 086428338377339251] ---------------------------- (A,B)= , {1, 4}, {2, 5} [4*P^2*x^9+20*P^2*x^8+27*P^2*x^7-8*P*x^8-6*P^2*x^6-28*P*x^7-34*P^2*x^5-8*P*x^6+ 4*x^7-6*P^2*x^4+43*P*x^5+8*x^6+18*P^2*x^3+20*P*x^4-10*x^5+2*P^2*x^2-30*P*x^3-13 *x^4-5*P^2*x-6*P*x^2+12*x^3+P^2+10*P*x+4*x^2-2*P-5*x+1, ((2*x^4-x^2)*C+2*x^3-x^ 2-2*x+1)/((2*x^5+3*x^4-x^2)*C+2*x^4+2*x^3-2*x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1 )*(29*n-168)*a(n-1)+(-587*n^2+5065*n-7812)*a(n-2)+(1777*n^2-19025*n+41508)*a(n-\ 3)+(-1316*n^2+20446*n-62928)*a(n-4)+(-5452*n^2+62960*n-173880)*a(n-5)+(10793*n^ 2-165955*n+606156)*a(n-6)+(5910*n^2-49626*n+45756)*a(n-7)+(-24598*n^2+409868*n-\ 1679376)*a(n-8)+(-3067*n^2-31435*n+507732)*a(n-9)+(29630*n^2-529696*n+2302128)* a(n-10)+(3386*n^2+36758*n-720024)*a(n-11)+(-16522*n^2+293774*n-1135128)*a(n-12) +(-2621*n^2-33401*n+771948)*a(n-13)+(-2508*n^2+111234*n-1083768)*a(n-14)+(-6708 *n^2+239148*n-2045760)*a(n-15)+(3400*n^2-102056*n+769152)*a(n-16)+(8672*n^2-\ 277648*n+2219616)*a(n-17)+(4192*n^2-137216*n+1119744)*a(n-18)+320*(2*n-31)*(n-\ 18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 10, a(6) = 23, a(7) = 57, a(8) = 143, a(9) = 369, a(10) = 975, a(11) = 2637, a(12) = 7301, a( 13) = 20691, a(14) = 60032, a(15) = 178315, a(16) = 542132, a(17) = 1686165, a( 18) = 5360220, a(19) = 17394651}, [0, 1, 2, 4, 10, 23, 57, 143, 369, 975, 2637, 7301, 20691, 60032, 178315, 542132, 1686165, 5360220, 17394651, 57536754, 193660833, 662130422, 2295602046, 8057210715, 28585729849, 102376378148, 369672090556, 1344464483053, 4920515311749, 18107971950985, 66964653365474, 248713155303773, 927311336773987, 3469383686710543, 13020579751218880, 49004016909348009, 184903854537060681, 699322147582982705, 2650586266612571484, 10066222285684888743, 38298894475362543498, 145963308861126937654, 557170054695598935209, 2129966050920963904230, 8153748608465330341813, 31253924709715285286085, 119944625187374323000596, 460845592553697514350584, 1772558652416327072927260, 6824813687214232781598261], 506636322091628632569277\ 8955625530417664053429031674239465077873102215960771913007337310803158389484868\ 4180961624030186263187221328962489816795731202689711250567120481197735797546843\ 3537842552609634927664676259712199651705307600427515415069514876091032350760123\ 6652145288405200936514929999288763690991171394077043789365684465038345454129528\ 2998891876345825410028603168522203245925230781608014618162048879402081276515421\ 4488546527061291283340775396213118406545319988020063003092415822184527245653586\ 1183377994988475114648282859696177385295972786283708222611502625632110912409819\ 555385811621000254] ---------------------------- (A,B)= , {1, 4}, {3, 4} [P^2*x^5+2*P^2*x^4-2*P*x^5+6*P^2*x^3-P*x^4+x^5+P^2*x^2-8*P*x^3-4*P^2*x-4*P*x^2+ 2*x^3+P^2+8*P*x+3*x^2-2*P-4*x+1, (C*x^3+2*x-1)/(C*x^3+x^2+2*x-1), {-2*n*(n-4)*a (n)+(n-1)*(31*n-150)*a(n-1)+(-184*n^2+1414*n-2100)*a(n-2)+(499*n^2-4825*n+10086 )*a(n-3)+(-488*n^2+6140*n-17208)*a(n-4)+(-335*n^2+2819*n-4866)*a(n-5)+(774*n^2-\ 10341*n+33594)*a(n-6)+(23*n^2-215*n+342)*a(n-7)+(-215*n^2+4466*n-21888)*a(n-8)+ (-140*n^2+2444*n-10668)*a(n-9)+(-33*n^2+465*n-1326)*a(n-10)+(3*n^2-84*n+564)*a( n-11)+2*(2*n-23)*(n-12)*a(n-12) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a( 5) = 13, a(6) = 34, a(7) = 90, a(8) = 241, a(9) = 653, a(10) = 1792, a(11) = 4987, a(12) = 14095}, [0, 1, 2, 5, 13, 34, 90, 241, 653, 1792, 4987, 14095, 40524, 118704, 354752, 1082769, 3376969, 10761563, 35018901, 116226782, 392839812, 1349763755, 4705693851, 16615763502, 59320991641, 213807939654, 776937598146, 2843138895879, 10467416747986, 38739912037692, 144033067963714, 537658194855348, 2014130218590035, 7568959247550506, 28523938056607085, 107767298248890123, 408099645698663151, 1548671737904672034, 5888310723215650335, 22428200241118864331, 85568291610046011852, 326960463062885016212, 1251112928797451595706, 4793762162991167716893, 18390735203605190395379, 70636930452546966380131, 271609657219882324575403, 1045472129155656754180415, 4028182163710258038445860, 15535051840334630402248686], 12261022604188812084555808889627635905009551727516\ 0561095318912833320598483741113751400037463155273225858724434730780247442940785\ 6028957707655033681169348620960747986756451361468036896564978823025125450602113\ 9754580540482810919085626396984817622056411166511605172303213286396209405901638\ 5296810412295930912981940144529990817696008990257138229546218152806839176386819\ 8278437335620464270144907242586921205630998324250646729063311289484470788422351\ 0325494701074329556698798105326487631209424698617727844073326555166635645700451\ 161431876584130583231605562533365547461093886363310543399509790689849823] ---------------------------- (A,B)= , {1, 4}, {3, 5} [4*P^2*x^5+4*P*x^6+x^7-P^2*x^4-5*P*x^5-2*x^6-12*P^2*x^3-12*P*x^4-2*x^5+16*P^2*x ^2+34*P*x^3+14*x^4-7*P^2*x-34*P*x^2-22*x^3+P^2+14*P*x+18*x^2-2*P-7*x+1, ((-x^4+ 2*x^3-x^2)*C-x^3+2*x^2-3*x+1)/((2*x^3-x^2)*C+x^2-3*x+1), {5*n*(n-5)*a(n)-15*(n-\ 1)*(7*n-40)*a(n-1)+(947*n^2-7957*n+12156)*a(n-2)+(-4799*n^2+48367*n-102420)*a(n -3)+(14991*n^2-176349*n+469080)*a(n-4)+(-29702*n^2+400798*n-1274472)*a(n-5)+( 36648*n^2-562860*n+2085504)*a(n-6)+(-25499*n^2+451129*n-1943100)*a(n-7)+(5912*n ^2-141982*n+783384)*a(n-8)+(4120*n^2-56804*n+164400)*a(n-9)+(-2941*n^2+53243*n-\ 232260)*a(n-10)+2*(182*n-1135)*(n-12)*a(n-11)+(16*n^2-320*n+1488)*a(n-12)+32*(2 *n-27)*(n-14)*a(n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a (6) = 35, a(7) = 96, a(8) = 267, a(9) = 751, a(10) = 2134, a(11) = 6124, a(12) = 17751, a(13) = 51993}, [0, 1, 2, 5, 13, 35, 96, 267, 751, 2134, 6124, 17751, 51993, 153983, 461455, 1400424, 4307259, 13435512, 42525951, 136629617, 445618655, 1475132271, 4954011514, 16867552635, 58176634850, 203060518029, 716527849673, 2553380347666, 9179709093202, 33262470411787, 121368743742278, 445592810746904, 1644899158911866, 6101525651129273, 22729967823024401, 84999258587914927, 318940796715716508, 1200413047372199543, 4530489682839662216 , 17141132011956589007, 65000274983999280171, 246994137137135270680, 940327786177410086516, 3586144644923302278327, 13698558699936326536726, 52404650094388000600858, 200755617030081174096130, 770066885511714233391397, 2957441586558685324496113, 11370998876971983013905993], 81256750461300350310011\ 7714631012577941062732162900020119308907598269093178797002080508838953064566775\ 4705946612834487661063288611012648326720833877442253835607729630326619390493564\ 2371228992675347333683534288662226550722458434095516926883424837988283873351494\ 0799048492911408440370874802465967482954186478506619732064295521925096986377257\ 0821308546886900364777203546418880786868522840260341600871390281505490223780197\ 5834932680179660582707454201370359925643999677043156636490689801481113076331137\ 4873189309759974621754273938980062965676544473571354327766742724580969803008180\ 0760924437447529517] ---------------------------- (A,B)= , {1, 4}, {4, 5} [P^2*x^9+4*P^2*x^8+3*P^2*x^7-2*P*x^8-7*P^2*x^6-4*P*x^7-12*P^2*x^5+4*P*x^6+x^7+3 *P^2*x^4+15*P*x^5+13*P^2*x^3+2*P*x^4-3*x^5-P^2*x^2-22*P*x^3-4*x^4-4*P^2*x+9*x^3 +P^2+8*P*x+x^2-2*P-4*x+1, ((x^4-x^3)*C+x^3-x^2-2*x+1)/((x^5+x^4-x^3)*C+x^4+x^3-\ 2*x^2-2*x+1), {-5*n*(n-5)*a(n)+6*(n-1)*(13*n-76)*a(n-1)+(-451*n^2+3947*n-6120)* a(n-2)+(1039*n^2-11477*n+25464)*a(n-3)+2*(7*n+183)*(7*n-32)*a(n-4)+(-4190*n^2+ 52096*n-153144)*a(n-5)+(3733*n^2-61265*n+234300)*a(n-6)+(6150*n^2-85566*n+ 291048)*a(n-7)+(-7075*n^2+130001*n-581628)*a(n-8)+(-5840*n^2+86962*n-309324)*a( n-9)+(4953*n^2-102723*n+520548)*a(n-10)+(4012*n^2-62174*n+209952)*a(n-11)+(-\ 1074*n^2+26718*n-154164)*a(n-12)+(-1022*n^2+9382*n+39780)*a(n-13)+(-99*n^2-459* n+17736)*a(n-14)+(-474*n^2+17328*n-151812)*a(n-15)+(-290*n^2+9736*n-80760)*a(n-\ 16)+(183*n^2-5991*n+48888)*a(n-17)+(186*n^2-6138*n+50472)*a(n-18)+20*(2*n-31)*( n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 34 , a(7) = 90, a(8) = 240, a(9) = 644, a(10) = 1739, a(11) = 4727, a(12) = 12944, a(13) = 35744, a(14) = 99671, a(15) = 281099, a(16) = 803274, a(17) = 2330410, a(18) = 6877381, a(19) = 20683756}, [0, 1, 2, 5, 13, 34, 90, 240, 644, 1739, 4727, 12944, 35744, 99671, 281099, 803274, 2330410, 6877381, 20683756, 63488843 , 199088838, 637991007, 2088498982, 6976865526, 23747970022, 82210003002, 288858935282, 1028130120097, 3700033142198, 13441167817675, 49217215689908, 181433099813840, 672658860038421, 2506047328055234, 9375680653964146, 35204085250223486, 132605631790705216, 500895508472068258, 1896770216503336530, 7198692520554202735, 27376055865174743358, 104300887315259925194, 398050460532626714685, 1521471290664156755903, 5823914680849670820497, 22322775427180192431827, 85669215805879614994282, 329162655869269001109059, 1266119897025920692137858, 4875172776026093943076480], 364329888803803133540139\ 0206301352361488419720370162911887575823656467497263874175005909491667925695798\ 0282431380399122996296872122993331279048784641919956050279679062613126572217835\ 5489741236057491131106277288282063092154685239236806860423024197926472487531779\ 6000281496643638505451664641079957359945300521752131350683646471522856344270030\ 6857175266722559497454911556471855595524572528855043449985300988532491439288774\ 8143731705845267275802759428299125108679923616671937443291805483770264923883193\ 9721757728844015144089795831930133951271083960708323684414378306409571477145981\ 525992854166787251] ---------------------------- (A,B)= , {1, 4}, {1, 2, 3} [P^2*x^8-2*P^2*x^7+3*P^2*x^5+3*P^2*x^4-3*P^2*x^3-2*P*x^4-2*P^2*x^2+3*P*x^3+2*P* x^2+P^2-2*P+1, -1/(C*x^4-x^4+x^3+x^2-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n -1)+(-49*n^2+393*n-596)*a(n-2)+(-53*n^2+363*n-544)*a(n-3)+(45*n^2-675*n+1824)*a (n-4)+(260*n^2-1944*n+3148)*a(n-5)+(-93*n^2+909*n-1668)*a(n-6)+(-267*n^2+2631*n -6420)*a(n-7)+(-53*n^2+345*n-952)*a(n-8)+(196*n^2-1662*n+3080)*a(n-9)+(7*n^2-\ 573*n+3476)*a(n-10)+(-30*n^2+234*n+24)*a(n-11)+(10*n^2-102*n+200)*a(n-12)+(-10* n^2+216*n-1136)*a(n-13)+4*(2*n-19)*(n-10)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 4, a(7) = 10, a(8) = 24, a(9) = 64, a(10) = 190 , a(11) = 588, a(12) = 1905, a(13) = 6349, a(14) = 21624}, [0, 1, 1, 1, 3, 4, 10, 24, 64, 190, 588, 1905, 6349, 21624, 74903, 262932, 933132, 3342080, 12063546, 43838514, 160246829, 588808912, 2173506473, 8056375883, 29973201701, 111889452614, 418963812028, 1573189665731, 5922471021593, 22348794080787, 84519441407750, 320288382570955, 1216034305350784, 4625033834321766, 17619692506695165, 67228083742185422, 256880423981973502, 982882772823904166, 3765552472398487899, 14443773654935671182, 55466266098081246636, 213229392274834943021, 820560755630255806692, 3160803179502625019109, 12186707045585529657843, 47028179784853685920195, 181633054385886486639039, 702068997252603238246646, 2715796964046769228900933, 10513149100823707356392978 ], 9547681950548430782785452463282739128485070913173399498743800297378867912994\ 7845852916247456433058866938702486384006306841043919886443458162392919226925327\ 9186878798069455576391203060095278038036074261552050244128827554412749778202157\ 7065908203409180357473396084803063544902851799971684095771586399802440166166399\ 7515985867181092101733254625038760902380433983185570015638678537789002902634235\ 7168255965328284894889355917026352607108612848680687783059528799581910100831431\ 3987732531747664519960854906596413076513096256197512615767257492878089388758406\ 673027269501952842036523286796193098952757257] ---------------------------- (A,B)= , {1, 4}, {1, 2, 4} [P^2*x^7-P^2*x^5+2*P^2*x^4+2*P*x^5+P^2*x^3-P*x^4-2*P^2*x^2-2*P*x^3-P^2*x+2*P*x^ 2+x^3+P^2+2*P*x-2*P-x+1, (-C*x^2+1)/((x^4-x^2)*C-x^3-x^2+1), {4*n*(n-4)*a(n)-(n -1)*(41*n-210)*a(n-1)+(125*n^2-1037*n+1590)*a(n-2)-(5*n-17)*(11*n-114)*a(n-3)+( -234*n^2+2196*n-4620)*a(n-4)+(166*n^2-2320*n+7368)*a(n-5)+(266*n^2-2498*n+5184) *a(n-6)+(-254*n^2+2978*n-8268)*a(n-7)+(-80*n^2+974*n-3288)*a(n-8)+(176*n^2-1988 *n+5208)*a(n-9)+(-57*n^2+729*n-2178)*a(n-10)+(-32*n^2+314*n-180)*a(n-11)+8*(2*n -9)*(n-10)*a(n-12)-2*(n-10)*(n-12)*a(n-13)+4*(2*n-23)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 3, a(7) = 8, a(8) = 15, a(9 ) = 36, a(10) = 96, a(11) = 271, a(12) = 831, a(13) = 2647, a(14) = 8736}, [0, 1, 1, 1, 3, 3, 8, 15, 36, 96, 271, 831, 2647, 8736, 29534, 101718, 355503, 1257209, 4489774, 16166985, 58628970, 213929507, 784835105, 2893128640, 10710641599, 39804610976, 148443421486, 555341564344, 2083585859599, 7838088552795, 29557296419165, 111710488232359, 423083309502424, 1605448171531868, 6103058958546782, 23239560765429851, 88632001168714461, 338526823823290014, 1294782927311225794, 4958690922814577279, 19013898449730661406, 72992776987233920185, 280521467159322775693, 1079207263494549111822, 4155976830301982816296, 16019522043317607993509, 61803689504077242265039, 238643329007216320987104, 922225566390953240170758, 3566662800255064157187232], 311220626414076945019211589958501314757520330835481\ 1410225014645093143788773855899341114765116180831850814715669448744792461846892\ 7214845185397431424713820135451158981048047894248627792776038643134530198116145\ 7610801355618914272531977457146129901106286324814967787721981702388612589545171\ 1976457889531807533992043447372240072878156386865870696612851359132211708775561\ 0554625475776320291665220011811419962816988265794029791568250413768520474623239\ 8823244742145864523978538271794606501050458514253005925347224611525314669112728\ 1836058989573933666719528922867038359547466752090448807588416481078128] ---------------------------- (A,B)= , {1, 4}, {1, 2, 5} [4*P^2*x^9+12*P^2*x^8-P^2*x^7-20*P^2*x^6+4*P*x^7-11*P^2*x^5+14*P*x^6+13*P^2*x^4 +9*P*x^5+9*P^2*x^3-16*P*x^4+x^5-3*P^2*x^2-14*P*x^3+4*x^4-3*P^2*x+4*P*x^2+5*x^3+ P^2+6*P*x-x^2-2*P-3*x+1, ((-x^3-x^2)*C-x^2-x+1)/((2*x^5+x^4-x^3-x^2)*C+2*x^4-2* x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(331*n^2-2951*n+4608)*a(n-2 )+(-495*n^2+5841*n-13440)*a(n-3)+(-753*n^2+6975*n-14328)*a(n-4)+(2239*n^2-30917 *n+96840)*a(n-5)+(1834*n^2-15860*n+26088)*a(n-6)+(-6267*n^2+94683*n-346032)*a(n -7)+(-3480*n^2+37920*n-89544)*a(n-8)+(9376*n^2-162254*n+692328)*a(n-9)+(6352*n^ 2-90644*n+312312)*a(n-10)+(-7976*n^2+154210*n-747792)*a(n-11)+(-6110*n^2+101632 *n-396264)*a(n-12)+(3068*n^2-71728*n+426696)*a(n-13)+(2282*n^2-39148*n+141936)* a(n-14)+(-1044*n^2+33984*n-266376)*a(n-15)+(-8*n^2-248*n+4512)*a(n-16)+(688*n^2 -20576*n+153888)*a(n-17)+96*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 1, a( 3) = 1, a(4) = 1, a(5) = 3, a(6) = 4, a(7) = 10, a(8) = 23, a(9) = 57, a(10) = 154, a(11) = 427, a(12) = 1240, a(13) = 3720, a(14) = 11502, a(15) = 36538, a( 16) = 118834, a(17) = 394582, a(18) = 1333963}, [0, 1, 1, 1, 3, 4, 10, 23, 57, 154, 427, 1240, 3720, 11502, 36538, 118834, 394582, 1333963, 4580457, 15940710, 56122949, 199583731, 715952102, 2587797137, 9415739584, 34459734374, 126768656730, 468498378258, 1738565650706, 6475627310482, 24200617249987, 90717665256893, 341006374149384, 1285101138291874, 4854310391402698, 18376162921936142, 69702708379489112, 264880532708607779, 1008325000044086846, 3844601176000576663, 14681058173687286538, 56140726631163766100, 214969247215652985392, 824173402642671635917, 3163545081683896118503, 12156664435314784066480, 46764240640507589416875, 180072973965918730256367, 694058939041865966265486, 2677546075439013513705397], 2122022689257067595131061\ 0449126196280182040492432883560580158610343371138824776426055562193759678153318\ 8023041166128870074793902196536849476411251139247744606357069041112945675272930\ 0999507524049194566504914575743379890035262323680098116906866004086784710142438\ 3901561822898744697430814126433763251395587026093443605890443991949603549068930\ 8763104418869753985806763891823286709126232917804646498211916007715235886413111\ 5299234400440061165591912010598882237966462105026772747307921083461216992154674\ 3709077029405659638598790395785056815833091723531671749809968947225121463268779\ 53774962239458517] ---------------------------- (A,B)= , {1, 4}, {1, 3, 4} [P^2*x^5+2*P^2*x^4-2*P*x^5+3*P^2*x^3-P*x^4+x^5-2*P^2*x^2-4*P*x^3-2*P^2*x+2*P*x^ 2+x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3+x-1)/(C*x^3+x^2+x-1), {-2*n*(n-4)*a(n)+24*(n-\ 1)*(n-5)*a(n-1)-(97*n-196)*(n-6)*a(n-2)+(122*n^2-1316*n+2940)*a(n-3)+(116*n^2-\ 848*n+1224)*a(n-4)+(-320*n^2+3695*n-10134)*a(n-5)+(17*n^2-422*n+1884)*a(n-6)+( 181*n^2-2938*n+11604)*a(n-7)+(39*n^2-225*n-702)*a(n-8)+(-39*n^2+858*n-4584)*a(n -9)+(-21*n^2+327*n-1158)*a(n-10)+(3*n^2-84*n+564)*a(n-11)+2*(2*n-23)*(n-12)*a(n -12) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 17 , a(8) = 38, a(9) = 90, a(10) = 227, a(11) = 610, a(12) = 1740}, [0, 1, 1, 2, 4 , 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412, 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621, 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881] , 46840987835805305680295385762215144598061585908475603325882180608923163497273\ 4667329093549734419118488704610512897673924502920932589570988767191668999598853\ 9425445407475960011725308818856302399341343285405766891034005982192093822979842\ 2429184449853917505668145383462037188011564376288723186561651677339596514460868\ 7363972870028595271952148534558548051394556757430400989971895532616395727871778\ 3416054665099795742302666983381216788163807080657469623190031379528019611724700\ 7463621545240230632062467074703593889981272051107076554738379445709912032073126\ 17661846193052878372376369912293942104239910] ---------------------------- (A,B)= , {1, 4}, {1, 3, 5} [P^2*x^5+2*P*x^6+x^7-2*P^2*x^4-3*P*x^5-P^2*x^3-4*P*x^4-x^5+7*P^2*x^2+10*P*x^3+7 *x^4-5*P^2*x-16*P*x^2-9*x^3+P^2+10*P*x+9*x^2-2*P-5*x+1, ((-x^4+x^3-x^2)*C-x^3+x ^2-2*x+1)/((x^3-x^2)*C-2*x+1), {5*n*(n-5)*a(n)-3*(n-1)*(29*n-168)*a(n-1)+(627*n ^2-5355*n+8232)*a(n-2)+(-2427*n^2+24945*n-53448)*a(n-3)+(5456*n^2-65854*n+ 178848)*a(n-4)+(-7119*n^2+100077*n-330696)*a(n-5)+(4878*n^2-81804*n+328968)*a(n -6)+(-866*n^2+24184*n-139248)*a(n-7)+(-1138*n^2+13814*n-31824)*a(n-8)+(936*n^2-\ 15546*n+62136)*a(n-9)+(-262*n^2+4664*n-19464)*a(n-10)+(26*n^2-478*n+2016)*a(n-\ 11)+(-10*n^2+296*n-2160)*a(n-12)+4*(2*n-27)*(n-14)*a(n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 51, a(9) = 128, a(10) = 332, a(11) = 890, a(12) = 2467, a(13) = 7071}, [0, 1, 1, 2, 4, 9, 21, 51, 128, 332, 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893 , 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794], 306679469566240334367148\ 4777113292042887572261123698166688311117565853502080141229961447995887370912605\ 9060464412778905033502472843352890197379660708567085519003331858373649974017027\ 6878803804394932936877846444701013478209448766365778447466727614031124079379399\ 8017566229379442319489102385022660113589581205443104963380179049611048050350227\ 9946264698496276660460795676764446611029565236455527428462848676689782408754658\ 0776376843160823889844207534936440582693983525585787081538641834036562014660944\ 3711995399425384417643311563273346478989690689445329076104745819030209228449660\ 527708313868202742] ---------------------------- (A,B)= , {1, 4}, {1, 4, 5} [P^2*x^9+2*P^2*x^8-2*P^2*x^7-7*P^2*x^6+2*P*x^7-2*P^2*x^5+4*P*x^6+9*P^2*x^4+P*x^ 5+5*P^2*x^3-10*P*x^4+x^5-4*P^2*x^2-8*P*x^3+2*x^4-2*P^2*x+6*P*x^2+3*x^3+P^2+4*P* x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^5-x^3)*C+x^4-2*x^2-x+1), {5*n*(n-5)*a(n )-60*(n-1)*(n-6)*a(n-1)+(227*n^2-2077*n+3276)*a(n-2)+(-127*n^2+1919*n-4944)*a(n -3)+(-912*n^2+9768*n-23400)*a(n-4)+(1087*n^2-15785*n+51228)*a(n-5)+(1941*n^2-\ 23697*n+69720)*a(n-6)+(-2351*n^2+38263*n-149208)*a(n-7)+(-2830*n^2+41132*n-\ 148356)*a(n-8)+(2168*n^2-41530*n+194316)*a(n-9)+(2766*n^2-46152*n+192108)*a(n-\ 10)+(-727*n^2+17513*n-102036)*a(n-11)+(-1443*n^2+25797*n-111516)*a(n-12)+(49*n^ 2-3905*n+39744)*a(n-13)+(322*n^2-6194*n+28440)*a(n-14)-(11*n-145)*(7*n-204)*a(n -15)+(-58*n^2+1718*n-12744)*a(n-16)+10*(n-15)*(5*n-76)*a(n-17)+12*(2*n-29)*(n-\ 16)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a( 7) = 17, a(8) = 37, a(9) = 83, a(10) = 193, a(11) = 467, a(12) = 1183, a(13) = 3150, a(14) = 8829, a(15) = 26001, a(16) = 80077, a(17) = 256267, a(18) = 846434}, [0, 1, 1, 2, 4, 8, 17, 37, 83, 193, 467, 1183, 3150, 8829, 26001, 80077, 256267, 846434, 2867389, 9910198, 34798560, 123744998, 444557595, 1610535495, 5875644906, 21563813404, 79547096722, 294761206226, 1096571498649, 4093914030191, 15332795906754, 57591019205644, 216884177206519, 818737739543095 , 3097576838331157, 11743198141556576, 44603904916705967, 169716430110249819, 646826515298902735, 2468984056704555466, 9437857924967319095, 36125621005971229071, 138455251814724924091, 531280996183245393025, 2040943780573551226799, 7848799960541537578741, 30214582233905841664204, 116425627125257788007594, 449033223860529513916981, 1733353040938806186698407], 1405818347259928999145066497892143275197544336909976391074897982576990854722215\ 7775099124159632553311059501886643126323282670138436271512505659901897568630707\ 1434217490073069800365002284708998300627122464475194566403719469918204066370712\ 6860152786901458557799435198098426634496108648300329136878363886528656361178620\ 3613751157729694511152584319892706533314146870666393456508344196995770323748557\ 9812408373108258725610679172106076636684021300745241985705595849540103960125437\ 1573842787954001936893049541688941960564333145933629426116776341906752643940044\ 729965544949871313184569625486418710175645] ---------------------------- (A,B)= , {1, 4}, {2, 3, 4} [P^2*x^9+2*P^2*x^8+2*P^2*x^7-2*P*x^8+4*P^2*x^6-2*P*x^7+7*P^2*x^5-2*P*x^6+x^7+6* P^2*x^4-6*P*x^5+P^2*x^3-7*P*x^4+x^5-3*P^2*x^2-2*P*x^3+2*x^4-2*P^2*x+4*P*x^2+x^3 +P^2+4*P*x-x^2-2*P-2*x+1, (C*x^4+x^2+x-1)/((x^5+x^4)*C+x^3+2*x^2+x-1), {-4*n*(n -4)*a(n)+48*(n-1)*(n-5)*a(n-1)+(-188*n^2+1520*n-2304)*a(n-2)+(191*n^2-2159*n+ 4926)*a(n-3)+(316*n^2-2980*n+6384)*a(n-4)+(-327*n^2+4983*n-16638)*a(n-5)+(-667* n^2+8167*n-24102)*a(n-6)+(-5*n^2-2707*n+18726)*a(n-7)+(755*n^2-11999*n+45750)*a (n-8)+(597*n^2-7689*n+22050)*a(n-9)+(-21*n^2+873*n-5586)*a(n-10)+(-212*n^2+6548 *n-48480)*a(n-11)+(20*n^2+2812*n-33264)*a(n-12)+(184*n^2-4756*n+33144)*a(n-13)+ (354*n^2-11994*n+98052)*a(n-14)+(426*n^2-13830*n+110652)*a(n-15)+(269*n^2-8429* n+65922)*a(n-16)+(138*n^2-4338*n+33996)*a(n-17)+(122*n^2-3914*n+31140)*a(n-18)+ 28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 10, a(6) = 22, a(7) = 52, a(8) = 122, a(9) = 293, a(10) = 718, a(11) = 1806, a( 12) = 4688, a(13) = 12618, a(14) = 35351, a(15) = 103260, a(16) = 314217, a(17) = 992983, a(18) = 3243732, a(19) = 10895441}, [0, 1, 2, 4, 10, 22, 52, 122, 293 , 718, 1806, 4688, 12618, 35351, 103260, 314217, 992983, 3243732, 10895441, 37437996, 131005170, 465113696, 1670522599, 6056055655, 22122219428, 81321608563, 300533520643, 1115731032517, 4158607693447, 15554409677500, 58359404943261, 219575547794959, 828246011310051, 3131416009186049, 11864395427708859, 45040392939837571, 171296136742691394, 652568680727028296, 2489938727901074326, 9514600063954958492, 36407589964411931202, 139494379235203946233, 535121052414484740467, 2055171040643407037614, 7901637636397916588305, 30411251817577541756587, 117159196440354447314542, 451774804455641668923641, 1743618240156753356654003, 6735134254341237261905392] , 56159218520147359575178221367113728545682341081153432271883910044419836186210\ 3195759941416124237898533788057444408098890043326625079537772336756332410692478\ 0084893911907357267396880058941468545794544610951357544988771795502330053238676\ 5357548994440811067653724548030183445936460733439808306446749096036904526467188\ 0522430822022364889189975524094022274602896246948507901762024169375374083732258\ 9634414184185752157450920916895943077659204943357536685860902075018650195353327\ 8148573004018295525196700254055844648509142723950269853734181077398240722408814\ 53291934497479045907914661843531393703975032] ---------------------------- (A,B)= , {1, 4}, {2, 3, 5} [P^2*x^11+2*P^2*x^10-4*P^2*x^9-2*P*x^10-7*P^2*x^8-2*P*x^9+8*P^2*x^7+10*P*x^8+x^ 9+14*P^2*x^6+2*P*x^7-9*P^2*x^5-22*P*x^6-5*x^7-11*P^2*x^4+P*x^5+5*x^6+8*P^2*x^3+ 24*P*x^4+7*x^5+5*P^2*x^2-10*P*x^3-12*x^4-5*P^2*x-12*P*x^2+2*x^3+P^2+10*P*x+7*x^ 2-2*P-5*x+1, ((x^5-x^4-x^3+x^2)*C+x^4-x^3+2*x-1)/((x^6-2*x^4-x^3+x^2)*C+x^5-x^3 +x^2+2*x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)+(-611*n^2+5239*n-8064)* a(n-2)+(2156*n^2-22486*n+48480)*a(n-3)+(-3593*n^2+45631*n-127296)*a(n-4)+(535*n ^2-16649*n+75312)*a(n-5)+(7184*n^2-96460*n+314928)*a(n-6)+(-7280*n^2+131542*n-\ 565344)*a(n-7)+(-5976*n^2+59838*n-86880)*a(n-8)+(11807*n^2-197071*n+793464)*a(n -9)+(1296*n^2+19422*n-289212)*a(n-10)+(-8360*n^2+114280*n-235476)*a(n-11)+(-68* n^2-8390*n+33372)*a(n-12)+(1557*n^2+28635*n-590736)*a(n-13)+(2107*n^2-75887*n+ 689940)*a(n-14)+(2741*n^2-112327*n+1029060)*a(n-15)+(-3461*n^2+123481*n-1093560 )*a(n-16)+(-3004*n^2+103268*n-880008)*a(n-17)+(2477*n^2-89563*n+807852)*a(n-18) +(1617*n^2-56577*n+495000)*a(n-19)+(-936*n^2+34704*n-320184)*a(n-20)+(-477*n^2+ 17667*n-162756)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n-\ 23) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 10, a(6) = 23, a(7) = 56, a(8) = 137, a(9) = 341, a(10) = 863, a(11) = 2224, a(12) = 5852, a(13) = 15762, a(14) = 43575, a(15) = 123932, a(16) = 363190, a(17) = 1097286, a(18) = 3415574, a(19) = 10934964, a(20) = 35915227, a(21) = 120655207, a(22) = 413302775, a(23) = 1439322508}, [0, 1, 2, 4, 10, 23, 56, 137, 341, 863, 2224, 5852, 15762, 43575, 123932, 363190, 1097286, 3415574, 10934964, 35915227, 120655207, 413302775, 1439322508, 5082316704, 18154684525, 65480761809, 238101546939, 871744136911, 3210374873692, 11882551957256, 44173949722627, 164851860442620, 617309362059814, 2318655457270939, 8732982264593313, 32973948427144995, 124786215125492316, 473225254669954057, 1798058754152981511, 6844036123685793254, 26093853554598760726, 99639796056582115763, 381024108860687176966, 1459008576180050972199, 5593885044171995552740, 21472735014963757522440, 82518253725298301754403, 317449575705856953355920, 1222466529543792640496087, 4712095964460644741733863], 363003456772111582041728\ 0279787819722826905951780030724606235180692053547912290712537290549176265418502\ 9303950338400966913497994691245998631408846368767044812330269713804452688897720\ 9497842582601226467880440087770081361091426794757981382976839091944748784743342\ 5360350408415675050790911714238925076378301833512948912713626572957695988343575\ 6702690872504675575184130306491397039579859284811977245003840956236929250731478\ 3011988831783875386213606444412735549612698739545371525189817720149679639938400\ 5641840933833388901666530760532525364549092144268080897496739308675975260717394\ 123249991434566858] ---------------------------- (A,B)= , {1, 4}, {2, 4, 5} [P^2*x^9+4*P^2*x^8-2*P*x^8-12*P^2*x^6-4*P*x^7-5*P^2*x^5+10*P*x^6+x^7+14*P^2*x^4 +13*P*x^5+8*P^2*x^3-16*P*x^4-6*x^5-6*P^2*x^2-16*P*x^3+3*x^4-2*P^2*x+10*P*x^2+8* x^3+P^2+4*P*x-4*x^2-2*P-2*x+1, ((x^4-x^3)*C+x^3-2*x^2-x+1)/((x^5+x^4-x^3)*C+x^4 -3*x^2-x+1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-211*n^2+1961*n-3108)*a(n-\ 2)+(-60*n^2-168*n+1344)*a(n-3)+(1596*n^2-17700*n+44544)*a(n-4)+(-1463*n^2+22219 *n-75408)*a(n-5)+(-4406*n^2+57118*n-179832)*a(n-6)+(5351*n^2-90127*n+366564)*a( n-7)+(6609*n^2-95157*n+334944)*a(n-8)+(-7261*n^2+135353*n-622560)*a(n-9)+(-6180 *n^2+97920*n-372672)*a(n-10)+(4229*n^2-81175*n+374676)*a(n-11)+(2810*n^2-42904* n+130920)*a(n-12)-3*(n+3)*(189*n-2512)*a(n-13)+(130*n^2-13946*n+159336)*a(n-14) +(-378*n^2+12066*n-97632)*a(n-15)+(-654*n^2+21156*n-170592)*a(n-16)+(39*n^2-\ 1311*n+10872)*a(n-17)+(186*n^2-6138*n+50472)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 10, a(6) = 22, a(7) = 52, a (8) = 121, a(9) = 286, a(10) = 682, a(11) = 1647, a(12) = 4042, a(13) = 10120, a(14) = 25982, a(15) = 68764, a(16) = 188551, a(17) = 537645, a(18) = 1596838, a(19) = 4935422}, [0, 1, 2, 4, 10, 22, 52, 121, 286, 682, 1647, 4042, 10120, 25982, 68764, 188551, 537645, 1596838, 4935422, 15823227, 52375498, 178045709, 618442364, 2185284718, 7826866234, 28334213575, 103452816729, 380345094622, 1406339274131, 5224944928888, 19491713360350, 72972818913733, 274050826160836, 1032078255452783, 3896595796620707, 14745154626724655, 55913941415228212, 212434635357327227, 808541280844603357, 3082447254946451623, 11769471173765526548, 45003118320059673244, 172311234048265627226, 660594054658728884392, 2535559673068412435802, 9743208257944070358648, 37479386077917712553969, 144318112725416201156371, 556243064386836515717701, 2145868065561401050581034], 170358133642418022550491343021815786256938491324079\ 3926189829547355790148120198211903924155444138915734321224335055114296134005569\ 6086813875827562933796146663134098439053560570666125662133520441687543933154945\ 3218660390245454679794289566473542100008328682797102079490582856486569823178858\ 5333470431025708915391552994265821502529718231599381663708836348159473531173134\ 9326601115826943397327465411245080646865572237407998640988611235365297880957638\ 6707558291641999397236658856802502075893615756405846951012786590174319553200281\ 6059850814518244438690079580165956487560655982276989040021059252377353] ---------------------------- (A,B)= , {1, 4}, {3, 4, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6+x^7+7*P^2*x^4-3*P*x^5+2*x^6+P^2*x^ 3-12*P*x^4+2*P^2*x^2+2*P*x^3+6*x^4-4*P^2*x-6*P*x^2-3*x^3+P^2+8*P*x+4*x^2-2*P-4* x+1, (C*x^4+x^3+2*x-1)/(C*x^4+x^3+x^2+2*x-1), {-5*n*(n-5)*a(n)+6*(n-1)*(13*n-76 )*a(n-1)+(-475*n^2+4121*n-6372)*a(n-2)+(1411*n^2-14849*n+32232)*a(n-3)+(-2107*n ^2+26075*n-72336)*a(n-4)+(1762*n^2-23864*n+78612)*a(n-5)+(-2022*n^2+27024*n-\ 91512)*a(n-6)+(2530*n^2-38690*n+146196)*a(n-7)+(-736*n^2+13082*n-56760)*a(n-8)+ (460*n^2-7808*n+32928)*a(n-9)+(-803*n^2+19867*n-118692)*a(n-10)+(-513*n^2+10419 *n-52884)*a(n-11)+(-206*n^2+4630*n-25416)*a(n-12)+(-9*n^2-1197*n+17196)*a(n-13) +(54*n^2-1746*n+13896)*a(n-14)+10*(n-15)*(5*n-76)*a(n-15)+12*(2*n-29)*(n-16)*a( n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 34, a(7) = 89, a(8) = 234, a(9) = 618, a(10) = 1640, a(11) = 4376, a(12) = 11752, a(13) = 31805, a(14) = 86879, a(15) = 239994, a(16) = 671919}, [0, 1, 2, 5, 13, 34, 89, 234, 618, 1640, 4376, 11752, 31805, 86879, 239994, 671919, 1911312, 5537980, 16384320, 49595470, 153808297, 488931970, 1592361883, 5306105473, 18054278237, 62577136598, 220389610310, 786780957250, 2840855165618, 10354965921260, 38041445454095, 140670503797281, 523028023887384, 1953676315780755, 7326397420971408, 27567826880577652, 104039826868380965, 393667120433269252, 1493024594082266366, 5674283989661470077, 21606116405077256304, 82412420057944117817, 314846146756089219047, 1204597057512786076544, 4615063505097874544312, 17703793918692083113782, 67994323394431422554515, 261435923347769357720537, 1006273391466814251724309, 3877031727162363695188142] , 29550525837179155504640491396165651220759796845509776661424975087224337861245\ 6455656926529822711899631277239985985101085677553324651285048159402655256157623\ 3614262653698691178812045017473508257619597487272142768341462302282009033759566\ 8594522844688686610523094498855069746538974685457873364330513002718357419725959\ 4233194802647150000202717054101205596358140621576815830486458346004303029004848\ 5324747014955618719210560132351729072175830865044350198764537297029436613476306\ 1188339819732621136399423483518262807685642066319647998645670255544554072085404\ 48606171636134477027709776837645141658132469] ---------------------------- (A,B)= , {1, 4}, {1, 2, 3, 4} [P^2*x^9+P^2*x^7+2*P^2*x^6+2*P^2*x^5-2*P^2*x^3+P*x^4-2*P^2*x^2+2*P*x^3+2*P*x^2+ P^2-2*P+1, -1/(C*x^5+x^3+x^2-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)+(-62 *n^2+560*n-888)*a(n-2)+(-77*n^2+605*n-978)*a(n-3)+(102*n^2-1182*n+2868)*a(n-4)+ (189*n^2-1971*n+4746)*a(n-5)+(38*n^2-44*n-888)*a(n-6)+(-182*n^2+2426*n-7788)*a( n-7)-2*(n-6)*(97*n-595)*a(n-8)+(-56*n^2+338*n-60)*a(n-9)+(123*n^2-1659*n+5934)* a(n-10)+(14*n^2-800*n+4872)*a(n-11)+(14*n^2-356*n+1956)*a(n-12)+(34*n^2-508*n+ 1872)*a(n-13)+(23*n^2-401*n+1734)*a(n-14)+2*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 3, a(7) = 7, a(8) = 13, a(9) = 28, a(10) = 73, a(11) = 200, a(12) = 607, a(13) = 1932, a(14) = 6384, a(15) = 21656}, [0, 1, 1, 1, 3, 3, 7, 13, 28, 73, 200, 607, 1932, 6384, 21656, 74837, 262392, 930580, 3331586, 12022577, 43682025, 159655070, 586580739, 2165129000, 8024878295, 29854683316, 111442950883, 417279251643, 1566824318597, 5898380529150, 22257476305340, 84172753884066, 318970201201972, 1211015002060522, 4605894868633927, 17546616464813437, 66948708498277491, 255811042868341825, 978784650534974416, 3749829950221643684, 14383389562244246658, 55234118011138960809, 212336024677738369493, 817119640886568671424, 3147536740793400377962, 12135517750382547183263, 46830502019124525657569, 180869085727846712901472, 699114263852920864083377, 2704360997393590629656879], 238037591845028688491788301195617326487967211370878\ 8583611807276143890005755389064489568131852515887823837161963099501051718727453\ 1036024598260968417690931537197543441504030101474695500253596301605368884931470\ 8934802978639212117809320948556326786795398145173165307956815394503238306230247\ 0472370522035590200877443331756247493425175571201563178439262033779923392285519\ 6475707764490165227484152081443522777968802890159082082487512698588777688556039\ 4934431653422784928332953685238803844665699010446352942372754065221973264764373\ 3049287745201044241554480040823819902000666641047902975287476070954982] ---------------------------- (A,B)= , {1, 4}, {1, 2, 3, 5} [P^2*x^11-5*P^2*x^9+3*P^2*x^8+7*P^2*x^7-P^2*x^6-2*P*x^7-10*P^2*x^5-2*P*x^6+3*P^ 2*x^4+9*P*x^5+5*P^2*x^3-2*P*x^4-6*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P -3*x+1, (C*x^2+x-1)/((x^6-x^5-x^4+x^2)*C+x^5-x^4+x^2+x-1), {-5*n*(n-5)*a(n)+3*( n-1)*(23*n-136)*a(n-1)+(-355*n^2+3125*n-4860)*a(n-2)+(790*n^2-8594*n+19044)*a(n -3)+(-456*n^2+6954*n-22104)*a(n-4)+(-854*n^2+10156*n-26892)*a(n-5)+(364*n^2-\ 10436*n+49308)*a(n-6)+(2662*n^2-30368*n+77928)*a(n-7)+(-2465*n^2+37627*n-135444 )*a(n-8)+(-1818*n^2+23358*n-72204)*a(n-9)+(1898*n^2-32854*n+131028)*a(n-10)+( 2143*n^2-28943*n+99900)*a(n-11)+(-2091*n^2+32601*n-123576)*a(n-12)+(-632*n^2+ 9730*n-34716)*a(n-13)+(680*n^2-9334*n+21576)*a(n-14)+(187*n^2-3899*n+19440)*a(n -15)+(-120*n^2+1344*n+2088)*a(n-16)+(70*n^2-2366*n+19128)*a(n-17)+(-88*n^2+2876 *n-23040)*a(n-18)-6*(n-13)*(n-16)*a(n-19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 4, a(7) = 9, a(8) = 19, a(9 ) = 42, a(10) = 104, a(11) = 269, a(12) = 747, a(13) = 2190, a(14) = 6721, a(15 ) = 21424, a(16) = 70362, a(17) = 236673, a(18) = 811401, a(19) = 2824886, a(20 ) = 9959340}, [0, 1, 1, 1, 3, 4, 9, 19, 42, 104, 269, 747, 2190, 6721, 21424, 70362, 236673, 811401, 2824886, 9959340, 35480899, 127519376, 461758295, 1682928464, 6168382554, 22721640345, 84067742114, 312275837590, 1164114726938, 4353671163953, 16330224128430, 61418069218773, 231564615182625, 875056827309838 , 3313706297651984, 12573012563653745, 47791777279626359, 181971122890284571, 693967989183218625, 2650457485906103805, 10136953483307713350, 38820716684842855332, 148852627647481403779, 571421332358141236940, 2196018284592426438988, 8448308555967966173921, 32533786011373377913016, 125403291520475442847551, 483807736523186280897043, 1868132637871907610274822], 1529742724849739698562127085163744539894858906043078756907180640451297789902708\ 8927736399448462213404831965175579580662115801231822407300491148203252924304696\ 2931184386630446723464535848131250559876391089191244657084746192445863054326567\ 0514312498477865711972189309741678732488688603989802735403510948520093274123131\ 3282301520226406968072816970651514881228855859085515378777263222501275783300483\ 2708974804454146169475676146588954229653918259784020168047705024155524632245200\ 3518099973088672488230551000429913958799535404047333730875615594417221106597910\ 300621184819895010149082498139286342691975] ---------------------------- (A,B)= , {1, 4}, {1, 2, 4, 5} [P^2*x^9+2*P^2*x^8-5*P^2*x^7-6*P^2*x^6+2*P*x^7+6*P^2*x^5+4*P*x^6+9*P^2*x^4-5*P* x^5-2*P^2*x^3-10*P*x^4+x^5-5*P^2*x^2+2*P*x^3+2*x^4+8*P*x^2+P^2-3*x^2-2*P+1, (-C *x^3-x^2+1)/((x^5-x^3)*C+x^4-x^3-2*x^2+1), {5*n*(n-5)*a(n)-6*(n-1)*(7*n-44)*a(n -1)+(51*n^2-579*n+984)*a(n-2)+(302*n^2-2836*n+5544)*a(n-3)+(-452*n^2+5776*n-\ 15624)*a(n-4)+(-1100*n^2+12502*n-33504)*a(n-5)+(1320*n^2-19614*n+68388)*a(n-6)+ (2463*n^2-33117*n+109632)*a(n-7)+(-1836*n^2+31434*n-131004)*a(n-8)+(-3347*n^2+ 51691*n-199104)*a(n-9)+(1289*n^2-24505*n+116124)*a(n-10)+(2493*n^2-42633*n+ 179064)*a(n-11)+(-522*n^2+10944*n-58440)*a(n-12)+(-798*n^2+13656*n-51420)*a(n-\ 13)+(226*n^2-6218*n+43272)*a(n-14)+(-17*n^2+1627*n-18396)*a(n-15)+(-106*n^2+ 3326*n-25848)*a(n-16)+10*(n-15)*(5*n-76)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0 , a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 3, a(7) = 7, a(8) = 12, a(9) = 23, a(10) = 52, a(11) = 120, a(12) = 318, a(13) = 904, a(14) = 2752, a(15) = 8807, a(16) = 29178, a(17) = 99203, a(18) = 343705}, [0, 1, 1, 1, 3, 3, 7, 12, 23, 52, 120, 318, 904, 2752, 8807, 29178, 99203, 343705, 1208218, 4296203, 15419926, 55779253, 203121376, 743950764, 2738612273, 10126615854, 37595702441, 140080556848, 523642630988, 1963279453154, 7380889058448, 27817498107205, 105081274213178, 397791319548279, 1508832846236144, 5733542964002249, 21824660818739989, 83208195100716326, 317713126978777626, 1214828593940437973, 4651248288478573347, 17830590646803196219, 68434235864202619067, 262944973046566978935, 1011380463057420265361, 3894026869833148378903, 15007082184611006028147, 57887707429589060250137, 223486090905258828408212, 863517825091339479395886], 72560172780506001865002584\ 1176150102758873626309738131106760989985756079325592220594665599442333926685454\ 3401349344607069629208659535154923159332217896277629579978047162734238725788217\ 5446933122367193616847868464875902539178749849185376918216564711953235921455694\ 8506137345115845659849595639218696406560377794303337848981851885439339635756651\ 3183294711866819682175100944992152579538507221134676612894168600103238718292642\ 0203014821099957505057297346629590466770305071447515273740303645396461087172733\ 6290886827029821604123129137096991921227025971799540362861064486393843896071162\ 748464393057668] ---------------------------- (A,B)= , {1, 4}, {1, 3, 4, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6+x^7+4*P^2*x^4-3*P*x^5+2*x^6-P^2*x^ 3-6*P*x^4-P^2*x^2+4*P*x^3+3*x^4-2*P^2*x-3*x^3+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^4+x ^3+x-1)/(C*x^4+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-251*n^2+ 2251*n-3528)*a(n-2)+(415*n^2-4583*n+10344)*a(n-3)+(-249*n^2+3285*n-10296)*a(n-4 )+(381*n^2-4425*n+13824)*a(n-5)+(-880*n^2+11858*n-39348)*a(n-6)+(260*n^2-4432*n +17592)*a(n-7)+(29*n^2-811*n+4764)*a(n-8)+(572*n^2-11122*n+53772)*a(n-9)+(104*n ^2-64*n-10008)*a(n-10)+(-134*n^2+3760*n-25548)*a(n-11)+(-106*n^2+2978*n-20232)* a(n-12)+(-9*n^2-549*n+8772)*a(n-13)+(54*n^2-1746*n+13896)*a(n-14)+10*(n-15)*(5* n-76)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4 ) = 2, a(5) = 4, a(6) = 8, a(7) = 16, a(8) = 33, a(9) = 70, a(10) = 154, a(11) = 355, a(12) = 866, a(13) = 2251, a(14) = 6245, a(15) = 18414, a(16) = 57213}, [0, 1, 1, 2, 4, 8, 16, 33, 70, 154, 355, 866, 2251, 6245, 18414, 57213, 185405, 620629, 2129017, 7439673, 26367505, 94489799, 341625588, 1244174774, 4559060423 , 16793971554, 62147298893, 230913270440, 861080917988, 3221443510012, 12087494204050, 45476623926282, 171517584430018, 648354248106943, 2455977538768902, 9321340465911779, 35441752116509282, 134983876626973003, 514909491556427422, 1967067133445470167, 7525021790792224809, 28824459171118788381, 110547017150291455062, 424458971535679006492, 1631548699699498919233, 6277908484546161213133, 24180064675135846380835, 93219365568695176660551, 359700693295280978180857, 1389135191429884881412863], 1145378355778772308910067555335048356091685312865246844429414299682139139920614\ 8898599411579759995466451685977773171469574003163885426613362884949925574181887\ 5964047843014065822101239792997469157251993754030421427733720236438320988692319\ 0730649727392698695963184789394349360091839818570143547180733035007697789367211\ 7570341486333973991522203319527465829595680826552220965296361187163129364139939\ 6967739456614724850558563468510620096360235672410897928717695121321582285203276\ 4118566139741430418829127399990395226872821907624991509636221851358065213549032\ 979738560493821461887587725838024404873596] ---------------------------- (A,B)= , {1, 4}, {2, 3, 4, 5} [P^2*x^11+4*P^2*x^10+5*P^2*x^9-2*P*x^10+5*P^2*x^8-6*P*x^9+9*P^2*x^7-4*P*x^8+x^9 +10*P^2*x^6-6*P*x^7+2*x^8+4*P^2*x^5-12*P*x^6+3*P^2*x^4-5*P*x^5+3*x^6+2*P^2*x^3+ 3*x^5-3*P^2*x^2-4*P*x^3-2*x^4-2*P^2*x+4*P*x^2+2*x^3+P^2+4*P*x-x^2-2*P-2*x+1, (C *x^5+x^4+x^2+x-1)/((x^6+x^5)*C+x^5+x^4+x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1 )*(n-6)*a(n-1)+(-235*n^2+2135*n-3360)*a(n-2)+(228*n^2-2832*n+6744)*a(n-3)+(507* n^2-5295*n+12288)*a(n-4)-6*(15*n-76)*(9*n-79)*a(n-5)+(-397*n^2+4835*n-12708)*a( n-6)+(583*n^2-8099*n+27792)*a(n-7)+(-360*n^2+1254*n+12684)*a(n-8)+(295*n^2-8663 *n+49032)*a(n-9)+(1244*n^2-15904*n+34584)*a(n-10)+(355*n^2-4955*n+18936)*a(n-11 )+(-237*n^2+6927*n-56604)*a(n-12)+(-235*n^2+18521*n-197172)*a(n-13)+(194*n^2-\ 1294*n-5112)*a(n-14)+(655*n^2-25337*n+234900)*a(n-15)+(820*n^2-30968*n+284784)* a(n-16)+(1614*n^2-59466*n+543192)*a(n-17)+(2063*n^2-75841*n+695028)*a(n-18)+( 1445*n^2-53215*n+489660)*a(n-19)+(1030*n^2-38126*n+351552)*a(n-20)+(875*n^2-\ 32869*n+306444)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*(2*n-35)*(n-22)*a(n -23) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 10, a(6) = 22, a(7) = 51, a(8) = 117, a(9) = 271, a(10) = 633, a(11) = 1494, a(12) = 3578, a(13) = 8733, a(14) = 21852, a(15) = 56423, a(16) = 151315, a(17) = 423667, a(18) = 1241692, a(19) = 3806610, a(20) = 12160485, a(21) = 40246938, a(22) = 137110349 , a(23) = 477870344}, [0, 1, 2, 4, 10, 22, 51, 117, 271, 633, 1494, 3578, 8733, 21852, 56423, 151315, 423667, 1241692, 3806610, 12160485, 40246938, 137110349, 477870344, 1695143910, 6095194808, 22147029461, 81134568880, 299186935219, 1109185769914, 4130553980253, 15440789681806, 57912342948032, 217843523607098, 821591493385186, 3105959479349582, 11767208203596607, 44669596523614092, 169881247884105924, 647166515961586092, 2469295258438648529, 9435636850236470423, 36105232717382845939, 138335397373428805834, 530673821250912155229, 2038088623489237179842, 7835956332465377806806, 30158466651302884121396, 116185412349395401669653, 448020245761336851873297, 1729129705885639957894201], 139470224632640544363916102902560505417560873899179\ 0796464964920414452991495127942307566696762896279736470458223946824098816196887\ 8510839549624436582261672810593532002635116382333068077795071726094421512519078\ 3830531025206583392730935629352094131360221700137582640861787368304857148311071\ 7987769017771891884684206257408192045126805218441443663467764177240947754789791\ 2869062287952381994001252582702022628134232285123306048216670124537834054515572\ 3667161622337531125145265864069810081529256411760718616130587704699941018289193\ 5781025826435812964187668772742368882321642741985101936935975923806297] ---------------------------- (A,B)= , {1, 4}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^8+3*P^2*x^7+P^2*x^6-P^2*x^5+P^2*x^4+3*P*x^5-2*P^2* x^3-2*P^2*x^2+2*P*x^3+2*P*x^2+P^2-2*P+1, -1/(C*x^6+x^5+x^3+x^2-1), {-5*n*(n-5)* a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-75*n^2+753*n-1236)*a(n-2)+(-98*n^2+880*n-1512)*a (n-3)+(119*n^2-1543*n+3960)*a(n-4)+(305*n^2-3313*n+8064)*a(n-5)+(-163*n^2+1715* n-3960)*a(n-6)+(-56*n^2+1618*n-8436)*a(n-7)+(14*n^2+410*n-3372)*a(n-8)+(-169*n^ 2+2093*n-5364)*a(n-9)+(-366*n^2+4236*n-12000)*a(n-10)+(176*n^2-2458*n+9180)*a(n -11)+(91*n^2-2279*n+11724)*a(n-12)+(-10*n^2-868*n+7488)*a(n-13)+(79*n^2-1505*n+ 7260)*a(n-14)+(154*n^2-2936*n+14136)*a(n-15)+(34*n^2-602*n+2568)*a(n-16)+3*(n-\ 12)*(7*n-89)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 3, a(7) = 6, a(8) = 10, a(9) = 17, a(10) = 37, a( 11) = 83, a(12) = 219, a(13) = 635, a(14) = 1974, a(15) = 6452, a(16) = 21751, a(17) = 74962, a(18) = 262474}, [0, 1, 1, 1, 3, 3, 6, 10, 17, 37, 83, 219, 635, 1974, 6452, 21751, 74962, 262474, 930263, 3329386, 12012626, 43641906, 159499965, 585991445, 2162906243, 8016516409, 29823241089, 111324649612, 416833627287, 1565143312467, 5892029495459, 22233443037226, 84081663403300, 318624411725589, 1209700354246107, 4600889424726090, 17527531727490919, 66875844252668986, 255532493701251069, 977718488188271203, 3745744360730440384, 14367715814476108880, 55173923675176332119, 212104614704736605303, 816229144189976564620, 3144106792601318585513, 12122294748307345535499, 46779481710876008913790, 180672065512384988792372, 698352854360308288243950], 5953586049120367778644255746342416462629908045637743187562171270695410129400457\ 2123377528284448237648360331591493323831409616283738852373506823828251306172600\ 3771558370632372553928374705128059125740650832471220154398342766970845477299920\ 1692899786557891851422186671076187716620847404529782102287888872135663136692499\ 6703784338957134129402636951909288536664594149690898391383569810876448268485604\ 0046930946087229940308367007257336633468034458528232618332909504291354810914419\ 6285018322920695315509975793821465551762844170011047848728342224682922129187934\ 73795328987643676457115497905684019256944] ---------------------------- (A,B)= , {1, 5}, {} [P^2*x^4+6*P^2*x^3+4*P^2*x^2-7*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-\ 5*x+1, ((2*x^2-x)*C-x^2-2*x+1)/((x^3+2*x^2-x)*C-2*x^2-2*x+1), {3*n*(n-3)*a(n)-3 *(n-1)*(17*n-64)*a(n-1)+(343*n^2-2241*n+3116)*a(n-2)+(-1131*n^2+9483*n-18348)*a (n-3)+(1754*n^2-18546*n+46480)*a(n-4)+(-667*n^2+10701*n-37592)*a(n-5)+(-1037*n^ 2+11055*n-28132)*a(n-6)+(540*n^2-8268*n+30864)*a(n-7)+(281*n^2-4287*n+16432)*a( n-8)+14*(n-8)*(2*n-17)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 17, a(6) = 50, a(7) = 149, a(8) = 451, a(9) = 1384}, [0, 1, 2, 6, 17, 50, 149 , 451, 1384, 4304, 13558, 43249, 139667, 456483, 1509481, 5048234, 17067581, 58306040, 201155836, 700458970, 2460412475, 8712624139, 31084824329, 111674811689, 403764870840, 1468386100971, 5368796940682, 19726080410121, 72803079212663, 269797259749920, 1003582253413544, 3745925624132301, 14025954685946514, 52669766655064486, 198310514572555933, 748505917379758534, 2831579104404478618, 10734283040562689634, 40772038261251727823, 155144876986061703829, 591349758862142733795, 2257536636545400498487, 8631068218830785406848, 33044078160089899042513, 126673466938629705994476, 486191506015163264821993, 1868221604347012672130835, 7186557237475538859444874, 27673195121037282387028316, 106664554234720190589801401], 829180343077821504218\ 0054202623311370559398563950076636906308678686442945671415102044235648359198239\ 2506095268341194736122776361002632708982676256260660151202765215411512117538125\ 7743778561575650020387033172251350644924415818435265615834474009486479311771254\ 5694884090386947053801656269971403210604757217987076162046752065052301009845161\ 5246207723580498252306010423188180223999100491548255913904341605963714284469971\ 2930466565627227839434812593655464060401695123174268944026790434409595803663481\ 1296841202455227482658635738541152684025152944541645340987912379482450855538658\ 8755877330840320361029] ---------------------------- (A,B)= , {1, 5}, {1} [P^2*x^4+4*P^2*x^3-5*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, ((x^2 -x)*C-x^2-x+1)/((x^3+x^2-x)*C-2*x^2-x+1), {3*n*(n-3)*a(n)-(n-1)*(41*n-160)*a(n-\ 1)+(207*n^2-1401*n+1980)*a(n-2)+(-451*n^2+3975*n-7940)*a(n-3)+(284*n^2-3684*n+ 10480)*a(n-4)+(375*n^2-2925*n+4800)*a(n-5)+(-469*n^2+5607*n-16340)*a(n-6)+(-54* n^2+378*n-240)*a(n-7)+(99*n^2-1569*n+6240)*a(n-8)+10*(n-8)*(2*n-17)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 37, a(8) = 98, a(9) = 270}, [0, 1, 1, 3, 6, 15, 37, 98, 270, 779, 2337, 7263, 23265, 76464 , 256789, 878056, 3047947, 10714661, 38069815, 136497271, 493230012, 1794334815 , 6566208736, 24153329309, 89255685675, 331190450906, 1233451440396, 4609082396503, 17275176101662, 64927885164648, 244647425383540, 923980441097829 , 3497196823184601, 13263059384947299, 50393245004293950, 191801032156093815, 731189792517550758, 2791677380300259939, 10673720262179411869, 40864398970172392252, 156646101921420328606, 601185610122249779803, 2309850885953856158922, 8884230893482206878910, 34205222729674099322932, 131819508946989067512545, 508465231586169870523773, 1962990692539327700488721, 7584606673177600805346771, 29328468295774307256478996], 25479179081034066322305\ 1354590015648237454735861851120457318327267160091297862669962930677828860481323\ 4336475242719188484349332254807903727376044502650755822063826409746111657762652\ 9887812219682543086073013328103481991757040429841837170159164938272392091542464\ 4087281110798153552604821668816276525312520284447283831755732810148396082546613\ 9613873130167981267351125457923948660895700576625885871859797435866575798147332\ 5827798043905691526140925287307457994918431776680987602564437823801043907756529\ 6215201410121590709331940966041545884348063997230889745997757067831321653961695\ 76994255312191047352] ---------------------------- (A,B)= , {1, 5}, {2} [P^2*x^7+4*P^2*x^6+8*P^2*x^5-2*P*x^6+9*P^2*x^4-6*P*x^5+2*P^2*x^3-10*P*x^4+x^5-4 *P^2*x^2-5*P*x^3+2*x^4-2*P^2*x+6*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, ((x^3+x ^2-x)*C-x^3-x^2-x+1)/((x^4+2*x^3+x^2-x)*C-x^4-2*x^3-2*x^2-x+1), {-3*n*(n-3)*a(n )+36*(n-1)*(n-4)*a(n-1)+(-137*n^2+981*n-1420)*a(n-2)+(102*n^2-1218*n+2808)*a(n-\ 3)+(371*n^2-3141*n+6376)*a(n-4)+(-340*n^2+4968*n-16088)*a(n-5)+(-712*n^2+7008*n -16016)*a(n-6)+(243*n^2-5865*n+27720)*a(n-7)+(660*n^2-8820*n+27216)*a(n-8)+(93* n^2+2799*n-31332)*a(n-9)+(-25*n^2+2757*n-22340)*a(n-10)+(444*n^2-10200*n+59160) *a(n-11)+(720*n^2-17316*n+103800)*a(n-12)+(521*n^2-12597*n+76060)*a(n-13)+(210* n^2-5190*n+31920)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a (3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 197, a(9) = 523, a( 10) = 1426, a(11) = 4002, a(12) = 11579, a(13) = 34559, a(14) = 106344, a(15) = 336837}, [0, 1, 2, 5, 12, 30, 76, 197, 523, 1426, 4002, 11579, 34559, 106344, 336837, 1095490, 3647443, 12393726, 42848989, 150321625, 533851945, 1915489237, 6932530223, 25274525040, 92723429331, 342008107834, 1267418081254, 4716199106469, 17613648049310, 65996718398603, 248010185861190, 934482008499612 , 3529589434569754, 13361061169018843, 50680915887301144, 192604942373556600, 733247357929555155, 2796024491510877929, 10678044452815524872, 40837624899104840964, 156390032465999095308, 599657038437377335983, 2302028138288998647160, 8847151082633559721933, 34037299739496653931659, 131081515295140369740931, 505289499281222479690832, 1949534976820780288456193, 7528262098345286094362554, 29094691148903361976557993], 24804208186403277558123\ 5847611291776974047569236476392901625547339427447524094819164487588468807716377\ 4840720343475660856118356770512888601016002289132168909257191541517364292751247\ 1982114274303862624917120718139247056499234263040506765988021115386756479386783\ 6351947790444145312659080091860676331211940706227888964143038357995974452714545\ 6985886859374080568514039382171106242859278149235120041342536682089509558578173\ 8577459623933727741685737894945820186760265801762491059009874555048156173105852\ 7815954167256416269717634435617727280277721700657172062452038235885557481605386\ 76614892557798332262] ---------------------------- (A,B)= , {1, 5}, {3} [P^2*x^5+8*P^2*x^4+16*P^2*x^3-6*P*x^4-25*P*x^3-8*P^2*x-4*P*x^2+9*x^3+2*P^2+16*P *x+4*x^2-4*P-8*x+2, ((2*x^2-x)*C-3*x^2-x+1)/((x^3+2*x^2-x)*C-x^3-4*x^2-x+1), {-\ 6*n*(n-3)*a(n)+4*(n-1)*(23*n-88)*a(n-1)+(-530*n^2+3546*n-4984)*a(n-2)+(1324*n^2 -11676*n+23264)*a(n-3)+(-860*n^2+11676*n-33616)*a(n-4)+(-1833*n^2+16029*n-32928 )*a(n-5)+(2218*n^2-28950*n+92216)*a(n-6)+(975*n^2-9627*n+20196)*a(n-7)+(-854*n^ 2+14766*n-62656)*a(n-8)+(-290*n^2+4194*n-14440)*a(n-9)+(37*n^2-894*n+5072)*a(n-\ 10)+6*(2*n-19)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 16, a(6) = 45, a(7) = 126, a(8) = 358, a(9) = 1026, a(10) = 2974, a(11) = 8720}, [0, 1, 2, 6, 16, 45, 126, 358, 1026, 2974, 8720, 25892, 77924, 237925, 737590, 2323046, 7435592, 24188206, 79946556, 268319344, 913690232, 3153537210, 11019345356, 38936669124, 138962591726, 500365891920, 1815845871484, 6635378476616, 24394241270364, 90162929782117, 334821900341646, 1248558210236646, 4673155856695568, 17548692635331606, 66094253812789068, 249597157044998420, 944850249771561792, 3584587641189125798, 13626564694281344388, 51895920216796721748, 197978182322376005412, 756456367439114333156, 2894572241289351518384, 11091130064502316525464, 42551967924917398121096, 163448694164389356981602, 628535958595204608312932, 2419566344399323652965932, 9323481314588883041890656, 35960731184740465869095372], 28662172805380389834889272049973318910446625001782\ 9600134987693857399620253663874761663409128604734974620447742900833334559057993\ 6659150306480527524069836606992768324835453479831555722751739162025887515062783\ 4571691881562557624873112318643968693705358392263985142723527875277641279268295\ 8518628395695072711287785207272617050005366972978824045716826665698881648001852\ 7430630563876035566251128591709054486333129633507496245001359852224326439367280\ 8663838595935934473378685415191426933645493684361270746982728978092039965605660\ 705923570206804348905697007819073683669917171135824953658437857648887872] ---------------------------- (A,B)= , {1, 5}, {4} [P^2*x^8-P^2*x^6-2*P*x^7+7*P^2*x^5+4*P*x^6-5*P^2*x^4-6*P*x^5+x^6-8*P^2*x^3-5*P* x^4-4*x^5+15*P^2*x^2+26*P*x^3+11*x^4-7*P^2*x-32*P*x^2-18*x^3+P^2+14*P*x+17*x^2-\ 2*P-7*x+1, ((x^3-x^2)*C-x^3+2*x^2-3*x+1)/((x^4+x^3-x^2)*C-x^4+x^2-3*x+1), {-4*n *(n-4)*a(n)+(n-1)*(83*n-390)*a(n-1)+(-731*n^2+5393*n-7878)*a(n-2)+(3552*n^2-\ 32154*n+64752)*a(n-3)+(-10331*n^2+111083*n-280686)*a(n-4)+(18090*n^2-227112*n+ 688644)*a(n-5)+(-17557*n^2+259549*n-934302)*a(n-6)+(5787*n^2-121995*n+577746)*a (n-7)+(5338*n^2-47512*n+35544)*a(n-8)+(-5937*n^2+73899*n-177114)*a(n-9)+(1164*n ^2-5490*n-80460)*a(n-10)+(964*n^2-22570*n+156324)*a(n-11)+(-313*n^2+1291*n+ 12066)*a(n-12)+(-425*n^2+14693*n-113538)*a(n-13)+(308*n^2-9254*n+68340)*a(n-14) +(15*n^2-135*n-810)*a(n-15)+(-70*n^2+1870*n-12420)*a(n-16)+20*(2*n-27)*(n-16)*a (n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 17, a(6) = 50, a(7) = 149, a(8) = 450, a(9) = 1374, a(10) = 4238, a(11) = 13198, a(12) = 41488, a( 13) = 131632, a(14) = 421522, a(15) = 1362423, a(16) = 4444815, a(17) = 14637116}, [0, 1, 2, 6, 17, 50, 149, 450, 1374, 4238, 13198, 41488, 131632, 421522, 1362423, 4444815, 14637116, 48653307, 163229264, 552664164, 1888096980, 6507025318, 22615522402, 79240240538, 279789598600, 995136486953, 3563769220115 , 12844560545990, 46571375297809, 169793207516970, 622215725359829, 2290908832498289, 8471448491265338, 31451290805472255, 117195099211662380, 438168539100846070, 1643294201830713715, 6180505680621332333, 23306084785031031554, 88097284778445814521, 333751580390654383620, 1267007459901350501796, 4819083637727635858614, 18361997747966936690698, 70079656090428666613156, 267874907122825597240382, 1025406731863923468102722, 3930469557584459139809739, 15084834929981675185844327, 57963084788362667927938420], 40977655051976977926594201002378163409705459015273\ 0520465713528827236653445259415667090605204655303481841190752297319444433828972\ 0285805905894528354800486952001786485037305003867333039770699687545730725241181\ 2360972293602379396251255690541047385457355862930267981816631739574447469372029\ 1715184963828993289305980994093281746531284680166864118119192978369427297944464\ 9466431286794307791764890760810923642533920241713101759907223899431709931977004\ 3720828848190082441356486432191583404833118052831858471756958795656503726347309\ 549661843935546531388374698213940733853652384523477857219746539986487140] ---------------------------- (A,B)= , {1, 5}, {5} [P^2*x^7+6*P^2*x^6+4*P^2*x^5-4*P*x^6-14*P^2*x^4-11*P*x^5-2*P^2*x^3+16*P*x^4+4*x ^5+14*P^2*x^2+14*P*x^3-x^4-7*P^2*x-30*P*x^2-12*x^3+P^2+14*P*x+16*x^2-2*P-7*x+1, ((2*x^3-x^2)*C+x^2-3*x+1)/((x^4+2*x^3-x^2)*C+x^3-3*x+1), {-5*n*(n-5)*a(n)+15*(n -1)*(7*n-40)*a(n-1)+(-931*n^2+7841*n-11988)*a(n-2)+(4495*n^2-45623*n+96924)*a(n -3)+(-12578*n^2+150388*n-403824)*a(n-4)+(19360*n^2-271868*n+888072)*a(n-5)+(-\ 10979*n^2+198625*n-822516)*a(n-6)+(-10556*n^2+127264*n-343188)*a(n-7)+(17766*n^ 2-298584*n+1230816)*a(n-8)+(-2861*n^2+75451*n-437700)*a(n-9)+(-6574*n^2+116516* n-508944)*a(n-10)+(1814*n^2-42946*n+248400)*a(n-11)+(982*n^2-18518*n+82584)*a(n -12)+(-67*n^2+2081*n-14940)*a(n-13)+(40*n^2-1262*n+9672)*a(n-14)+8*(2*n-27)*(n-\ 14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 17, a(6) = 50, a(7) = 148, a(8) = 442, a(9) = 1328, a(10) = 4012, a(11) = 12182, a(12) = 37173 , a(13) = 114002, a(14) = 351442, a(15) = 1089364}, [0, 1, 2, 6, 17, 50, 148, 442, 1328, 4012, 12182, 37173, 114002, 351442, 1089364, 3396454, 10655984, 33657232, 107076799, 343292999, 1109695450, 3618386656, 11906314980, 39549016690, 132645189890, 449258642541, 1536555537124, 5306281666068, 18497551356636, 65067771213966, 230862512031988, 825764767145136, 2976019295375403, 10800485649445701, 39448413655591989, 144927474103010739, 535271103104174842, 1986461247271141122, 7404018334098912142, 27704569174882222515, 104031530115703778320, 391884937206739230723, 1480466939097280051684, 5607470232330249834774, 21289162298761741774124, 80999245326227888813830, 308782407805895093570891, 1179237548926381377427547, 4510904807741232427246528, 17281580401463139284206656], 11438992989792343402228\ 3336396250208726993735263394615049214621656259555840073366872459327340784813306\ 1988987100744335810171715120213705799778381667584152179744680966467719501995716\ 0911412141764206607028024724484772250868431438387289920957615534347643937769924\ 2882217401143650193238656655472818000822957377660309018745505409710720185659266\ 1923728980397978619723090580069240713953655638787874999993549523523672027531616\ 5014903996787811787676613461852438434191118058759216567773890834811348635734233\ 0868855528801998045788741266591790881016247411807338037079651167086650931875359\ 24438758198691878663] ---------------------------- (A,B)= , {1, 5}, {1, 2} [P^2*x^7+2*P^2*x^6+3*P^2*x^5+P^2*x^4-3*P^2*x^3-2*P^2*x^2+3*P*x^3+2*P*x^2+P^2-2* P+1, (-C*x+1)/((x^4+x^3-x)*C-x^4-x^3-x^2+1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56) *a(n-1)+(-49*n^2+393*n-596)*a(n-2)+(-53*n^2+363*n-544)*a(n-3)+(50*n^2-678*n+ 1768)*a(n-4)+(214*n^2-1770*n+3356)*a(n-5)+(5*n^2+231*n-1124)*a(n-6)+(-213*n^2+ 2313*n-6252)*a(n-7)+(-129*n^2+1341*n-3576)*a(n-8)+(-396*n+2316)*a(n-9)+2*(34*n-\ 247)*(n-8)*a(n-10)+(45*n^2-675*n+2544)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 28, a(9) = 72, a(10) = 204, a(11) = 619, a(12) = 1975}, [0, 1, 1, 2, 3, 6, 12, 28, 72, 204, 619, 1975, 6526, 22115, 76360, 267508, 948072, 3392274, 12235781, 44439090, 162367743, 596376357, 2200739691, 8155097310, 30333326624, 113210383786, 423832515490, 1591212457928, 5989446109497, 22598554236509, 85453795091376, 323793934453275, 1229221510645600, 4674762606276636, 17807641301400109, 67939912747228352, 259581591375448550, 993151322746176433, 3804654249823908926, 14592904222104524457, 56035875417681879055, 215408050417019098196, 828904623918092568194, 3192798018155131889726, 12309534942818751118285, 47500233680604887750073, 183449149714961631421099, 709062827916501592273286, 2742755708253448648324090, 10617158477341771971403615 ], 9629983167218046997804126378307287583481799759270507248947151778625570799089\ 8008701517109490952087086443849429168972388084221323319549048571555793332982556\ 6296752382572708413970579097511258918569713166029066859763287320254160238622258\ 2028812624679653996906578299344713967337093903049160566958918022853698130237339\ 1478652153250696868208903522409143441196013131095992899371830889442302945039862\ 6844628309770904169900429131728966964348144620815192692355188661138404256120948\ 1682498875804518445264339416063007877127920651729417778570446342599713506317075\ 099063209151959781785512711120298189192262571] ---------------------------- (A,B)= , {1, 5}, {1, 3} [P^2*x^5+6*P^2*x^4+7*P^2*x^3-4*P*x^4-5*P^2*x^2-11*P*x^3-4*P^2*x+6*P*x^2+4*x^3+2 *P^2+8*P*x-x^2-4*P-4*x+2, ((x^2-x)*C-2*x^2+1)/((x^3+x^2-x)*C-x^3-3*x^2+1), {-12 *n*(n-3)*a(n)+144*(n-1)*(n-4)*a(n-1)+(-572*n^2+4032*n-5800)*a(n-2)+(642*n^2-\ 6582*n+14256)*a(n-3)+(939*n^2-6207*n+8772)*a(n-4)+(-2015*n^2+21183*n-54124)*a(n -5)+(-285*n^2+279*n+7368)*a(n-6)+(1410*n^2-18186*n+57852)*a(n-7)+(168*n^2-270*n -7584)*a(n-8)+(-139*n^2+2229*n-8528)*a(n-9)+(40*n^2-942*n+5264)*a(n-10)+8*(2*n-\ 19)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 12, a(7) = 25, a(8) = 60, a(9) = 145, a(10) = 380, a(11) = 1046}, [0, 1, 1, 3 , 5, 12, 25, 60, 145, 380, 1046, 3057, 9365, 29897, 98572, 333421, 1150459, 4032315, 14310562, 51304591, 185476792, 675275270, 2473360203, 9106730965, 33684449831, 125101683978, 466313022737, 1743879881676, 6541052912022, 24601239207881, 92756816657753, 350532225861915, 1327478165789409, 5037057044897968, 19147693663789011, 72910913712169488, 278071726522490986, 1062100920359420927, 4062374096972310725, 15558342056976279093, 59659997661012675234, 229039133894226803089, 880268577855459574994, 3386682306551772856160, 13042599220919823740755, 50276231741164006342167, 193976987763725550743485, 749045336195057032437788, 2894804118927942598513219, 11196116482103123114644992], 98120085325338950402771702954502885918748874005580\ 8408367295109970682758328915985460823542329907457444539646270838119704396583837\ 2528272448384360469427560073894567392271022361933324628741399404230604862315104\ 1552539431565939590035845474802604807721050836096370966229255457840501297231041\ 3345276390855315548931976552900201329907994160382140112875446618918032968650920\ 1682307840920562677594349493708173172976778925723147602072248254337975194244352\ 3528588264663551607661626999204705777904336247870052058347665329211637725915777\ 45174345700087763302459259187984100608499360037376761411115599473661419] ---------------------------- (A,B)= , {1, 5}, {1, 4} [P^2*x^8-2*P^2*x^7+2*P^2*x^6+3*P^2*x^5+2*P*x^6-9*P^2*x^4-6*P*x^5+4*P^2*x^3+9*P* x^4+6*P^2*x^2+x^4-5*P^2*x-14*P*x^2-4*x^3+P^2+10*P*x+8*x^2-2*P-5*x+1, (-C*x^2+x^ 2-2*x+1)/((x^4-x^2)*C-x^4+x^3-2*x+1), {4*n*(n-4)*a(n)-3*(n-1)*(23*n-110)*a(n-1) +(485*n^2-3653*n+5382)*a(n-2)+(-1764*n^2+16434*n-33660)*a(n-3)+(3374*n^2-38282* n+100452)*a(n-4)+(-2513*n^2+38063*n-131082)*a(n-5)+(-2073*n^2+14205*n-5238)*a(n -6)+(5394*n^2-65784*n+190536)*a(n-7)+(-3062*n^2+42578*n-135756)*a(n-8)+(-919*n^ 2+12493*n-55134)*a(n-9)+(1742*n^2-23024*n+77832)*a(n-10)+(-564*n^2+2952*n+19680 )*a(n-11)+(-94*n^2+5230*n-43740)*a(n-12)+(34*n^2-850*n+5580)*a(n-13)+(108*n^2-\ 2760*n+17520)*a(n-14)+(-86*n^2+2174*n-13740)*a(n-15)+12*(2*n-25)*(n-14)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 37, a( 8) = 97, a(9) = 262, a(10) = 734, a(11) = 2123, a(12) = 6333, a(13) = 19438, a( 14) = 61247, a(15) = 197609, a(16) = 651184}, [0, 1, 1, 3, 6, 15, 37, 97, 262, 734, 2123, 6333, 19438, 61247, 197609, 651184, 2186193, 7460080, 25819353, 90464236, 320352435, 1144957881, 4125182861, 14967541576, 54643774078, 200585970288, 739885780663, 2740990249398, 10193807368763, 38044011361274, 142434341135590, 534808361919855, 2013395721266844, 7598245172161517, 28738736103736500, 108922793475510436, 413619796882259946, 1573464636888257541, 5995611551752731430, 22881460670517048605, 87451089294305669169, 334687396547468699501, 1282540444388640564198, 4920716556117051485227, 18900875078350620020745, 72678321007304011465702, 279751585194908604229093, 1077859452419112522494153, 4156737155341719410653900, 16044431799702215527229454], 12988804552962506633405451465216484535977808482512\ 1553955126029202857729763777749145019348920352204216662006497884020126041228805\ 7149542132619260983585005526766381614324492965084107752193968237171533220117734\ 7716115330770972208932683563877614970206319778556949191632294478532576867362842\ 0556084510217277817405442457462418239642322453005433577207399379243323800529916\ 0942242025700253516995996139005407120410227281446659345166478962488327999040657\ 8198067828751493151096624792306422261032545913929032216780554681459867628747049\ 123089141162770916790505377309088539141169223825147623908168111303692073] ---------------------------- (A,B)= , {1, 5}, {1, 5} [P^2*x^7+4*P^2*x^6-3*P^2*x^5-2*P*x^6-9*P^2*x^4-P*x^5+7*P^2*x^3+12*P*x^4+x^5+5*P ^2*x^2-6*P*x^3-2*x^4-5*P^2*x-12*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2 )*C-2*x+1)/((x^4+x^3-x^2)*C+x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168) *a(n-1)+(-611*n^2+5239*n-8064)*a(n-2)+(2165*n^2-22567*n+48672)*a(n-3)+(-3727*n^ 2+47117*n-131544)*a(n-4)+(1275*n^2-26589*n+109080)*a(n-5)+(5514*n^2-67944*n+ 196752)*a(n-6)+(-7091*n^2+110683*n-417720)*a(n-7)+(-560*n^2-1352*n+43200)*a(n-8 )+(5144*n^2-85966*n+357552)*a(n-9)+(-1398*n^2+29166*n-149856)*a(n-10)+(-1288*n^ 2+23414*n-104040)*a(n-11)+(362*n^2-7948*n+42600)*a(n-12)+(82*n^2-1490*n+6144)*a (n-13)+(22*n^2-632*n+4512)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2 ) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 36, a(8) = 91, a(9) = 233, a(10) = 612, a(11) = 1642, a(12) = 4512, a(13) = 12706, a(14) = 36713, a( 15) = 108904}, [0, 1, 1, 3, 6, 15, 36, 91, 233, 612, 1642, 4512, 12706, 36713, 108904, 331662, 1036295, 3317694, 10863200, 36300017, 123504384, 426869684, 1495616211, 5301823329, 18983880005, 68561367363, 249451777905, 913419731789, 3363320867033, 12444548414964, 46243658778469, 172495562390805, 645625008592617 , 2423877338940851, 9125194802708095, 34440248284105968, 130283454654607445, 493889278278502739, 1875926900187411939, 7138144653712746625, 27207096494778467197, 103862036970408387798, 397067929996401798914, 1520078894469732823642, 5826726640838888503597, 22361841380850430409531, 85918170980653492636403, 330468250020887924359552, 1272379627434307676829573, 4903689178637816213086412], 375738536732630804875144287282430058187933717825817\ 0493261973554152430386639330406633473963171441474810691039376444767344538606656\ 3567008029515479841106642283659421878288897946925428645211505415082008754125745\ 6890401895167369142589359742210220746375906004472833932052158616951340350027352\ 5641948340956206004734333406616750921925483493191359612448318241417037524999855\ 6557454708043378659838631036644200237881839804624983974134867696938024184618873\ 5721458732142679690827456497118000031257581381218321442551680851436930240216661\ 8871010398497246708857653978714788197976431439898356668825561010549493] ---------------------------- (A,B)= , {1, 5}, {2, 3} [4*P^2*x^7+15*P^2*x^6+24*P^2*x^5-8*P*x^6+17*P^2*x^4-22*P*x^5-P^2*x^3-22*P*x^4+4 *x^5-9*P^2*x^2-P*x^3+7*x^4-3*P^2*x+14*P*x^2+2*x^3+2*P^2+6*P*x-5*x^2-4*P-3*x+2, ((x^3+x^2-x)*C-2*x^3-2*x^2+1)/((x^4+2*x^3+x^2-x)*C-2*x^4-4*x^3-3*x^2+1), {-12*n *(n-3)*a(n)+2*(n-1)*(67*n-272)*a(n-1)+(-438*n^2+3228*n-4728)*a(n-2)+(61*n^2-\ 1815*n+5180)*a(n-3)+(1481*n^2-13935*n+31156)*a(n-4)+(-85*n^2+6987*n-32564)*a(n-\ 5)+(-3035*n^2+36027*n-103564)*a(n-6)+(-1354*n^2+1104*n+53968)*a(n-7)+(2433*n^2-\ 43005*n+175236)*a(n-8)+(1608*n^2-1104*n-118536)*a(n-9)+(-786*n^2+40338*n-303936 )*a(n-10)+(1536*n^2-32916*n+185712)*a(n-11)+(5942*n^2-142782*n+856168)*a(n-12)+ (6264*n^2-151884*n+919152)*a(n-13)+(3104*n^2-76800*n+472864)*a(n-14)+320*(2*n-\ 23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 11, a(6) = 27, a(7) = 64, a(8) = 156, a(9) = 386, a(10) = 976, a(11) = 2533, a(12) = 6781, a(13) = 18802, a(14) = 54156, a(15) = 162177}, [0, 1, 2, 5, 11, 27, 64, 156, 386, 976, 2533, 6781, 18802, 54156, 162177, 504248, 1622558, 5379388, 18287186, 63452133, 223815267, 799918734, 2889233046, 10525071827, 38610481288, 142466885684, 528276812593, 1967192590653, 7352482148031, 27569894013793, 103680798151595, 390929755861784, 1477514861595519, 5596405460944560, 21240004452395410, 80761069450121680, 307605112979487832, 1173485545773400837, 4483414484896122305, 17153231218309403448, 65713087806652265718, 252053734303713661427, 967919387902504038054, 3721021160268396841862, 14319782548230144512819, 55161813835087970475039, 212689878172542121211161, 820807388887319889150233, 3170321460602534202970389, 12255068430094771093678640 ], 1053369051495355224191681392178159015449296696647912478915512463454259799840\ 8131043544321517166704615138462289455682609196364601095517479580846542007295556\ 5687569861161997915680130129480081935165818488650489305513577578273948221545956\ 8738260758826223331789573901524395475169257002245183193203674000608178680112975\ 6602860111207128699676701470863639352069983170800761510179373701142511552821639\ 2346968758563920624054792996568732006066476760627200123391591762936359682007831\ 7288877305857721209895418616493978031805927505916632010272416774036149007514225\ 1275538871230279105709671218900552811629162415] ---------------------------- (A,B)= , {1, 5}, {2, 4} [P^2*x^8+2*P^2*x^7+P^2*x^6-2*P*x^7+3*P^2*x^5-P^2*x^4-2*P*x^5+x^6-2*P^2*x^3-3*P* x^4-2*x^5+7*P^2*x^2+10*P*x^3+5*x^4-5*P^2*x-16*P*x^2-8*x^3+P^2+10*P*x+9*x^2-2*P-\ 5*x+1, ((x^3-x^2)*C-x^3+x^2-2*x+1)/((x^4+x^3-x^2)*C-x^4-x^3-2*x+1), {-4*n*(n-4) *a(n)+3*(n-1)*(23*n-110)*a(n-1)+(-491*n^2+3689*n-5430)*a(n-2)+(1870*n^2-17236*n +35100)*a(n-3)+(-4135*n^2+45211*n-115830)*a(n-4)+(5352*n^2-68250*n+210240)*a(n-\ 5)+(-3725*n^2+56321*n-207150)*a(n-6)+(667*n^2-17455*n+91146)*a(n-7)+(1082*n^2-\ 10364*n+13560)*a(n-8)+(-929*n^2+10235*n-17058)*a(n-9)+(284*n^2+982*n-39372)*a(n -10)+(72*n^2-4494*n+46044)*a(n-11)+(-165*n^2+2403*n-10782)*a(n-12)+(-7*n^2+1279 *n-13494)*a(n-13)+(102*n^2-3096*n+23112)*a(n-14)+(7*n-114)*(n-19)*a(n-15)+(58*n ^2-1762*n+13260)*a(n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a( 3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 196, a(9) = 515, a(10 ) = 1381, a(11) = 3786, a(12) = 10631, a(13) = 30624, a(14) = 90595, a(15) = 275325, a(16) = 859160, a(17) = 2749395}, [0, 1, 2, 5, 12, 30, 76, 196, 515, 1381, 3786, 10631, 30624, 90595, 275325, 859160, 2749395, 9005544, 30122583, 102638453, 355387718, 1247616329, 4431646136, 15899862213, 57533730484, 209708740233, 769187885785, 2836649215499, 10510804382123, 39108896353111, 146055799157884, 547260290492623, 2056631320453400, 7749680133265215, 29273264325629470, 110822585114110669, 420413566487454985, 1597893701088745805, 6083889768634733527, 23201898152507215853, 88618964725363399356, 338959654628885441253, 1298222055823231734198, 4978456683322088430149, 19114088556912625074360, 73467743893654797777646, 282681679289571797033098, 1088760236544806276303125, 4197378993254475084695124, 16196266140888442641888429], 12992757516632071584455864300548661351230676016613\ 2912152098272202107440091513179561656059746331462270716725352226370573943661935\ 9411352912457224235786854058202914665431939131592834216245358122658579146038732\ 9005828814387793572830092147567380115539456791072501284549571061289036097047436\ 1294890724685963617674037402588816987435652081049347935462114613770575534739655\ 8164570737998582192604088088853409136655979339274788082752932982562694004503415\ 8240440886724268636117942650568833440930271506782574227053367158605572371970620\ 382306507763735158985866310857419286948384316066439689848331066108726844] ---------------------------- (A,B)= , {1, 5}, {2, 5} [P^2*x^9+4*P^2*x^8+6*P^2*x^7-2*P*x^8+P^2*x^6-6*P*x^7-7*P^2*x^5-4*P*x^6+x^7-5*P^ 2*x^4+7*P*x^5+2*x^6+6*P^2*x^3+10*P*x^4-x^5+5*P^2*x^2-6*P*x^3-4*x^4-5*P^2*x-12*P *x^2+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^4+x^3-x^2)*C-2*x+1)/((x^5+2*x^4+x^3-x^2)*C -x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)+(-611*n^2+5239*n-8064)* a(n-2)+(2170*n^2-22592*n+48672)*a(n-3)+(-3810*n^2+47700*n-132120)*a(n-4)+(1834* n^2-31616*n+117936)*a(n-5)+(3581*n^2-46795*n+145404)*a(n-6)+(-3651*n^2+65835*n-\ 280596)*a(n-7)+(-2687*n^2+34507*n-99396)*a(n-8)+(2851*n^2-59549*n+297912)*a(n-9 )+(2163*n^2-27813*n+62292)*a(n-10)+(-1071*n^2+28497*n-173412)*a(n-11)+(-1042*n^ 2+11906*n+5964)*a(n-12)+(-94*n^2-3406*n+50256)*a(n-13)+(-151*n^2+8003*n-82416)* a(n-14)+(-165*n^2+7167*n-68028)*a(n-15)+(270*n^2-8322*n+64368)*a(n-16)+(417*n^2 -13425*n+107928)*a(n-17)+(210*n^2-6870*n+56040)*a(n-18)+20*(2*n-31)*(n-18)*a(n-\ 19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 75, a(8) = 190, a(9) = 486, a(10) = 1257, a(11) = 3291, a(12) = 8737, a(13) = 23569, a(14) = 64759, a(15) = 181688, a(16) = 521741, a(17) = 1536534, a(18) = 4646630, a(19) = 14434275}, [0, 1, 2, 5, 12, 30, 75, 190, 486, 1257, 3291, 8737 , 23569, 64759, 181688, 521741, 1536534, 4646630, 14434275, 46029570, 150453142 , 502964294, 1715262424, 5951463787, 20955975009, 74710337176, 269137343019, 978041663003, 3580378421742, 13188602045199, 48839444844325, 181687498948676, 678583218186398, 2543282875006379, 9561533057488223, 36046199537466109, 136229729160185297, 516017952593434317, 1958633441172876371, 7448414467550813562, 28374837703120349798, 108269544671158737749, 413745848892037281599, 1583331721439879625511, 6067114849957780847810, 23277138662137288673699, 89409247504828746911666, 343804893712857452193807, 1323403463690074185725991, 5099165721879318929966230], 388112988351419434669095\ 1001138566138504824501730350425549774755021931227733853247574707519986542387767\ 1566468246386096876407440068770948782565579138897399743051359252580388437339820\ 6381048648303776228026287811085327959460114375182863106131854508641412316356499\ 8547348929186341389719954038382249317766647190435993483485474206017582427206832\ 7331985330795073076686658341558977467306463365083610275215734134461614298356054\ 2956908073010089702310878190807906426434431567716827627063229923324829424438060\ 0860234556374490839280158458734108066203661365550367182375751296342948096990223\ 949179509356988238] ---------------------------- (A,B)= , {1, 5}, {3, 4} [P^2*x^6-4*P^2*x^5-2*P*x^6+2*P^2*x^4+6*P*x^5+x^6+12*P^2*x^3+P*x^4-2*x^5-P^2*x^2 -20*P*x^3-2*x^4-4*P^2*x+8*x^3+P^2+8*P*x+x^2-2*P-4*x+1, (C*x^3-x^3+x^2+2*x-1)/(C *x^3-x^3+2*x^2+2*x-1), {-2*n*(n-4)*a(n)+(n-1)*(31*n-150)*a(n-1)+(-178*n^2+1378* n-2052)*a(n-2)+(412*n^2-4138*n+8808)*a(n-3)+(-18*n^2+1560*n-6408)*a(n-4)+(-1431 *n^2+15591*n-41334)*a(n-5)+(1464*n^2-20526*n+69876)*a(n-6)+(1244*n^2-15674*n+ 48888)*a(n-7)+(-1804*n^2+27928*n-108312)*a(n-8)-6*(37*n-285)*(n-10)*a(n-9)+(322 *n^2-4096*n+8640)*a(n-10)+(-64*n^2+232*n+5280)*a(n-11)+(112*n^2-2692*n+16200)*a (n-12)+(-67*n^2+1723*n-11070)*a(n-13)+6*(2*n-25)*(n-14)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 16, a(6) = 45, a(7) = 126, a(8) = 357, a(9 ) = 1018, a(10) = 2927, a(11) = 8486, a(12) = 24829, a(13) = 73374, a(14) = 219216}, [0, 1, 2, 6, 16, 45, 126, 357, 1018, 2927, 8486, 24829, 73374, 219216, 662804, 2030089, 6304662, 19868224, 63568812, 206554195, 681572802, 2283116560, 7759058012, 26729036808, 93241429308, 329005828809, 1172931643902, 4220189908243, 15308199709094, 55927980442053, 205622114248666, 760173932773906 , 2824021460360896, 10536193267928893, 39458853334443686, 148274197731604593, 558842420618888706, 2111937295978890187, 8000648318847392406, 30375457843455733266, 115554983623138293992, 440401637727248112583, 1681277513323270533762, 6428416999565145733022, 24614644116942067176348, 94376623100286667384826, 362308058975850744967444, 1392514483221905735355547, 5357949736504083548905390, 20637011488872908852824217], 15689021807462292671764\ 7772523608574233023379821760818772292258265966920452055226206809388968565605416\ 3788653281199517727268568404467021118125364030662391270733544381036213128319046\ 8160540199967756832317901464648928072470308605870207443483521575372465816106186\ 5766069010124382493825397670625533040287843331055706790074263123478812471604448\ 7476368980228895463885513334310933348808583607855920902257367933806898973718096\ 8376017731944353649558975473241135334534690018314648542497967249484536330790896\ 6591601899510022414258204562757190437170225429292780709133664688791228603941390\ 71907855178480509410] ---------------------------- (A,B)= , {1, 5}, {3, 5} [P^2*x^7+4*P^2*x^6-4*P*x^6-6*P^2*x^4-5*P*x^5+8*P^2*x^3+12*P*x^4+4*x^5+4*P^2*x^2 -10*P*x^3-5*x^4-5*P^2*x-10*P*x^2+2*x^3+P^2+10*P*x+6*x^2-2*P-5*x+1, ((2*x^3-x^2) *C-x^2-2*x+1)/((x^4+2*x^3-x^2)*C-2*x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-\ 168)*a(n-1)+(-603*n^2+5181*n-7980)*a(n-2)+(2053*n^2-21509*n+46476)*a(n-3)+(-\ 3150*n^2+40344*n-113256)*a(n-4)+(24*n^2-8532*n+47760)*a(n-5)+(6173*n^2-81631*n+ 261012)*a(n-6)+(-5936*n^2+93376*n-360084)*a(n-7)+(-1226*n^2+15424*n-45456)*a(n-\ 8)+(4207*n^2-71489*n+302940)*a(n-9)+(-1354*n^2+29084*n-153216)*a(n-10)+(-904*n^ 2+13964*n-45888)*a(n-11)+4*(31*n-272)*(2*n-27)*a(n-12)+(23*n^2-97*n-2004)*a(n-\ 13)+(32*n^2-970*n+7224)*a(n-14)+8*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 16, a(6) = 45, a(7) = 125, a(8) = 351, a(9) = 987 , a(10) = 2789, a(11) = 7911, a(12) = 22545, a(13) = 64575, a(14) = 186042, a( 15) = 539579}, [0, 1, 2, 6, 16, 45, 125, 351, 987, 2789, 7911, 22545, 64575, 186042, 539579, 1577050, 4650401, 13853346, 41748255, 127452680, 394696505, 1241315732, 3968126866, 12900090357, 42652014319, 143375151076, 489635764764, 1696985251313, 5961239865269, 21195758768467, 76174205213158, 276331184031177, 1010592101053003, 3721887055026189, 13790162901887444, 51360758812248669, 192150342079407885, 721671260198812663, 2719627270413767008, 10279459029340386327, 38955720992177534906, 147974343429118440508, 563261766762133436503, 2148097473736947502060, 8206205071544443369355, 31398676968140786786063, 120311171613843228663502, 461613671283914926893080, 1773323942442949785213198, 6820212183908474879545329], 494662421817981983631527\ 0443626190414310165848937301485736629924802190870425090324663872960776799160639\ 5212647767200316820105261719112164452341604981314887362862536448949560566817835\ 5763859322609881197910644339934631862699397207352507448640678135640455692434366\ 8305232034732268092245766776151350261809520676551129286473836920525097736404237\ 2415952346066208049127295595356829372103621544019867980433628926921524020883320\ 1270709861110203988779256262319036401648034699882721116192604589383212446570480\ 8730596274303958747712108894004629135728330552639304966098640677609136456004691\ 797175856761542878] ---------------------------- (A,B)= , {1, 5}, {4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^8-3*P^2*x^5+2*P*x^6+x^7-8*P^2*x^4-P*x^5-2*x^6+6*P^2*x^ 3+12*P*x^4+2*x^5+8*P^2*x^2-4*P*x^3-3*x^4-6*P^2*x-18*P*x^2-2*x^3+P^2+12*P*x+10*x ^2-2*P-6*x+1, ((x^4-x^3)*C+x^2-3*x+1)/((x^5+x^4-x^3)*C+x^3-3*x+1), {-5*n*(n-5)* a(n)+24*(n-1)*(4*n-23)*a(n-1)+(-755*n^2+6421*n-9852)*a(n-2)+(3074*n^2-31690*n+ 67872)*a(n-3)+(-6550*n^2+80546*n-220248)*a(n-4)+(5501*n^2-84445*n+293400)*a(n-5 )+(3614*n^2-37102*n+78984)*a(n-6)+(-9093*n^2+140373*n-527484)*a(n-7)+(1995*n^2-\ 40011*n+190464)*a(n-8)+(3521*n^2-62593*n+279696)*a(n-9)+(-1160*n^2+18100*n-\ 70104)*a(n-10)+(111*n^2+10347*n-125196)*a(n-11)+(-40*n^2-1726*n+35880)*a(n-12)+ (-311*n^2-1517*n+61440)*a(n-13)+(-106*n^2+5114*n-52584)*a(n-14)+(28*n^2+820*n-\ 16248)*a(n-15)+(-8*n^2+214*n-1440)*a(n-16)+(-49*n^2+1505*n-11496)*a(n-17)+(58*n ^2-1994*n+17016)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a( 3) = 2, a(4) = 6, a(5) = 17, a(6) = 50, a(7) = 148, a(8) = 441, a(9) = 1320, a( 10) = 3967, a(11) = 11967, a(12) = 36236, a(13) = 110150, a(14) = 336219, a(15) = 1030851, a(16) = 3176009, a(17) = 9837545, a(18) = 30651052, a(19) = 96120362 }, [0, 1, 2, 6, 17, 50, 148, 441, 1320, 3967, 11967, 36236, 110150, 336219, 1030851, 3176009, 9837545, 30651052, 96120362, 303579112, 966272160, 3101574025 , 10045955119, 32852755367, 108524773807, 362255258643, 1222132567471, 4167343886187, 14361051172271, 50001111656983, 175816776479494, 624022208985682 , 2234266461785994, 8064527403185488, 29324872713975568, 107352475970729937, 395386654607703328, 1464189603809930911, 5448656589842567367, 20364417387792783052, 76408457589705133937, 287684578755727988798, 1086519219071931100389, 4114939080681753120803, 15623261417806511073367, 59450445826182658727309, 226683713708250380889981, 865936469856410783174572, 3313457640972381196122849, 12698273497574274961015712], 85343705293758577820700\ 0018973158309686532840326608041864434803752600209732297422239165232892369786353\ 7947869551403823339095384776447788840515390661564029696613590246522838641147034\ 4978116668596146871683739896461158594050553507068729282833188175049943391924627\ 1172299072944797267240853119438645507385499270778056448460495638392422776020737\ 0113381693960694956059251465054040133720867013750961505106111880532697165454980\ 2760072961164460663628585745349901149977021609699313823379771892426073797507522\ 7329998345724184474485761058025375572125851082275330125274796816782232078351514\ 2536666914283146938] ---------------------------- (A,B)= , {1, 5}, {1, 2, 3} [4*P^2*x^7+7*P^2*x^6+6*P^2*x^5-2*P^2*x^4-7*P^2*x^3+4*P*x^4-4*P^2*x^2+7*P*x^3+P^ 2*x+4*P*x^2+2*P^2-2*P*x-4*P+x+2, (-C*x+x+1)/((x^4+x^3-x)*C-2*x^4-2*x^3-x^2+x+1) , {12*n*(n-3)*a(n)-2*(n-1)*(47*n-208)*a(n-1)+(110*n^2-1008*n+1600)*a(n-2)+(370* n^2-2898*n+5096)*a(n-3)+(-48*n^2+1254*n-3792)*a(n-4)+(-867*n^2+8505*n-19824)*a( n-5)+(-714*n^2+5328*n-7920)*a(n-6)+(555*n^2-7527*n+24792)*a(n-7)+(1098*n^2-\ 11976*n+32184)*a(n-8)+(522*n^2-3294*n+336)*a(n-9)+(-305*n^2+5619*n-24520)*a(n-\ 10)+(-340*n^2+4842*n-16880)*a(n-11)-48*(n-1)*(n-9)*a(n-12)+32*(2*n-19)*(n-10)*a (n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 2, a(6) = 5, a(7) = 7, a(8) = 16, a(9) = 35, a(10) = 95, a(11) = 274, a(12) = 864, a(13) = 2832}, [ 0, 1, 1, 2, 2, 5, 7, 16, 35, 95, 274, 864, 2832, 9589, 33121, 116175, 412257, 1476886, 5332820, 19386683, 70892425, 260578634, 962207431, 3567631858, 13276871396, 49575218175, 185676226708, 697360646040, 2625843687280, 9910676255616, 37487233224475, 142082429639166, 539526471369039, 2052321221404847, 7819668885646257, 29839864763998826, 114032847383986267, 436365646847743499, 1671955343184109054, 6413886461767016164, 24632689151312101650, 94704391682776210185, 364478534649677483947, 1404090124182031702803, 5414003128688176103621, 20894082322172355657783, 80703343308118183633800, 311965487508233240717374, 1206848807129849685719041, 4672141429228713337735903], 425489557295350528761051957349965687787510090659631\ 3579629748393803326622576095494968468979663251356360748556283752245082569979457\ 3740275290591176260918311431769751087200481827158578151362991848947112711237607\ 9740329298802776058521832169682417067312915601495893756810458676812158847913987\ 3605327701780283808166994290801095272656879223704716378109502068743798569885106\ 0517362019974138995378313389000338262792161109775885130333338174380999933630700\ 1868217555964758613371889452179910534920565091031642416491712225390234065953063\ 1602443610316183918049393259830174624900437493847494846919678081438367] ---------------------------- (A,B)= , {1, 5}, {1, 2, 4} [P^2*x^8+P^2*x^5+2*P*x^6-3*P^2*x^4-2*P*x^5+2*P^2*x^3+3*P*x^4+2*P^2*x^2+x^4-3*P^ 2*x-6*P*x^2-2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/((x^4-x^2)*C-x^4- x+1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n-1)+(293*n^2-2261*n+3366)*a(n-2)+(-\ 768*n^2+7314*n-15228)*a(n-3)+(1000*n^2-11728*n+31752)*a(n-4)+(-357*n^2+6735*n-\ 26298)*a(n-5)+(-725*n^2+6377*n-10638)*a(n-6)+(1056*n^2-12450*n+34164)*a(n-7)+(-\ 492*n^2+5664*n-12144)*a(n-8)+(-53*n^2+1763*n-14274)*a(n-9)+(174*n^2-1884*n+5952 )*a(n-10)+(-112*n^2-176*n+10416)*a(n-11)+(26*n^2+694*n-9612)*a(n-12)+(26*n^2-\ 674*n+4380)*a(n-13)-4*(n-10)*(n-9)*a(n-14)+(-22*n^2+526*n-3132)*a(n-15)+12*(2*n -25)*(n-14)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 27, a(9) = 66, a(10) = 176, a(11) = 503, a(12) = 1521, a (13) = 4803, a(14) = 15679, a(15) = 52506, a(16) = 179373}, [0, 1, 1, 2, 3, 6, 12, 27, 66, 176, 503, 1521, 4803, 15679, 52506, 179373, 622583, 2188949, 7778711, 27892006, 100781941, 366577764, 1341118776, 4931618042, 18217412700, 67569793886, 251542883667, 939539694823, 3519917714804, 13223659780078, 49805135331471, 188023946503413, 711364197074390, 2696760136036314, 10242430826376308, 38969007016618370, 148505252729083017, 566794705464757279, 2166360366260360966, 8291243243577678957, 31773053360116810164, 121903939288825245516, 468239131408583409017, 1800457181015297973616, 6930091855511612389120, 26700173503125866705219, 102964499442798887969994, 397411287984600790214878, 1535162682987108976765828, 5934902852898352809662481] , 50987315897627265313853382338445524198536940866995607191404239454675979870991\ 8043353083548062754499312714745123146566182743851567591019674717030330606754323\ 0783049095177063342037161133328124321319065896967656886703915234284039291210171\ 5982940583756952647917441954484313969200221971526840982808857370461314732859318\ 7988489152195683335939512190206705731211295743569256637657745097805232977263372\ 9113065130545605585792329143550609995669291252347629128431087869225312443461958\ 8025330315857384971905567067340908691159021026966014241562391904824613485272617\ 57487818084731303439857835440494691376733816] ---------------------------- (A,B)= , {1, 5}, {1, 2, 5} [P^2*x^9+2*P^2*x^8+P^2*x^7-3*P^2*x^6-4*P^2*x^5+2*P*x^6+P^2*x^4+3*P*x^5+5*P^2*x^ 3-6*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x^4 -x^2)*C-x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(355*n^2-3125*n+ 4860)*a(n-2)+(-790*n^2+8594*n-19044)*a(n-3)+(445*n^2-6887*n+22032)*a(n-4)+(1005 *n^2-11355*n+28860)*a(n-5)+(-1142*n^2+17926*n-65124)*a(n-6)+(-861*n^2+10197*n-\ 27456)*a(n-7)+(985*n^2-18377*n+81012)*a(n-8)+(906*n^2-12102*n+36756)*a(n-9)+(-\ 476*n^2+10492*n-53736)*a(n-10)+(-631*n^2+10391*n-40500)*a(n-11)+(-44*n^2-950*n+ 12144)*a(n-12)+(268*n^2-4970*n+22512)*a(n-13)+(86*n^2-1300*n+3864)*a(n-14)-24*( n-11)*(n-13)*a(n-15)+(-2*n^2+4*n+288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 50, a(10) = 118, a(11) = 298, a(12) = 807, a(13) = 2321, a(14) = 7028, a (15) = 22184, a(16) = 72375, a(17) = 242331}, [0, 1, 1, 2, 3, 6, 11, 23, 50, 118, 298, 807, 2321, 7028, 22184, 72375, 242331, 828178, 2876929, 10126784, 36035551, 129399388, 468248039, 1705661263, 6248967196, 23010129365, 85109096146, 316061379107, 1177959928845, 4404578093971, 16518280554003, 62115671945747, 234162075434391, 884760842720176, 3350071006990813, 12709665138661761, 48306606136291150, 183915257329151422, 701325478485433911, 2678357436642158878, 10242948584961814414, 39224103156182860084, 150390287411204209890, 577291596337676684547, 2218460864424414280959, 8534223499388024748548, 32863101155431059452495, 126667069929914508081114, 488663059523285908600411, 1886806205690713252311255], 1542906963630686267450218\ 8985118391381956923295048700829987985610131359642355242464763797938002743982283\ 4249411385689290256827837014226194197868273970034908584937466280738186094182318\ 0997153298060249599362080585947624985383497369146285933789568881074380813655693\ 1449373360813682017810296722659181105210311351112661719336894313144872605266246\ 6732106857636074275892537183223215802545062713210325688125410472508312241442993\ 2633441197903993835782473251670064842319758125020907664058871493627540383986537\ 3531893130482993821772720301409305651517845252700702723063218713778357580508073\ 70024575474656702] ---------------------------- (A,B)= , {1, 5}, {1, 3, 4} [P^2*x^6-4*P^2*x^5-2*P*x^6+4*P^2*x^4+6*P*x^5+x^6+7*P^2*x^3-3*P*x^4-2*x^5-4*P^2* x^2-12*P*x^3-2*P^2*x+6*P*x^2+5*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3-x^3+x^2+x-\ 1)/(C*x^3-x^3+2*x^2+x-1), {-2*n*(n-4)*a(n)+24*(n-1)*(n-5)*a(n-1)+(-91*n^2+742*n -1128)*a(n-2)+(50*n^2-740*n+1860)*a(n-3)+(406*n^2-3724*n+8088)*a(n-4)+(-681*n^2 +8094*n-23112)*a(n-5)+(-348*n^2+3408*n-7956)*a(n-6)+(1251*n^2-17025*n+57954)*a( n-7)+(-273*n^2+4230*n-16632)*a(n-8)+(-542*n^2+8312*n-30780)*a(n-9)+(213*n^2-\ 2295*n+1542)*a(n-10)+(-80*n^2+1190*n-3372)*a(n-11)+(128*n^2-3164*n+19560)*a(n-\ 12)+(-67*n^2+1723*n-11070)*a(n-13)+6*(2*n-25)*(n-14)*a(n-14) = 0, a(1) = 0, a(2 ) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 12, a(7) = 25, a(8) = 59, a(9) = 139, a(10) = 350, a(11) = 918, a(12) = 2544, a(13) = 7395, a(14) = 22499}, [0, 1, 1, 3, 5, 12, 25, 59, 139, 350, 918, 2544, 7395, 22499, 71155, 232473, 779763 , 2671273, 9306708, 32867241, 117359758, 422887801, 1535461144, 5611304971, 20621083555, 76150446593, 282421003119, 1051429558266, 3927819574701, 14718628004962, 55310177163359, 208381495572482, 786933274445167, 2978248844408807, 11294252803474923, 42910600201054360, 163315017289540862, 622575152395790771, 2376929265581385603, 9087795876191722963, 34792169212641485502, 133367870254975852003, 511842977544150366483, 1966571581754852402643, 7563872601566586980258, 29121658678935899950760, 112228544005389285419869, 432897811433543629445029, 1671257260672298705325311, 6457426097227062899460724], 543539668410415892024981493946887162602812572896388\ 4904201244950978880335902843599458220929690091951970917940827756556631792099330\ 6695752596751452522817324707853214900463579962898919273227582360287273927105607\ 7867260079748846922226363110303371940271802334466738627201867383541304130091224\ 9534450966265312922528401356722362759837938802650198418460004015843043746145669\ 8768389833911081111432854856113856500662907574407911500164036111322262313689377\ 7605381931986882926990594425293839057080204051341435298622692419094760953239245\ 8082032802174200265035192808125186514768748203420842730588169081883624] ---------------------------- (A,B)= , {1, 5}, {1, 3, 5} [P^2*x^7+2*P^2*x^6-3*P^2*x^5-2*P*x^6-P^2*x^4+P*x^5+7*P^2*x^3+4*P*x^4+x^5-P^2*x^ 2-10*P*x^3-2*x^4-3*P^2*x+3*x^3+P^2+6*P*x+x^2-2*P-3*x+1, ((x^3-x^2)*C-x^2-x+1)/( (x^4+x^3-x^2)*C-2*x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)+(-347*n^ 2+3067*n-4776)*a(n-2)+(687*n^2-7641*n+17112)*a(n-3)+(47*n^2+1451*n-8160)*a(n-4) +(-2071*n^2+24689*n-68880)*a(n-5)+(2076*n^2-30342*n+105888)*a(n-6)+(1185*n^2-\ 15345*n+48552)*a(n-7)+(-2610*n^2+41826*n-167016)*a(n-8)+(480*n^2-9426*n+45216)* a(n-9)+(980*n^2-16216*n+65544)*a(n-10)+(-434*n^2+8176*n-36960)*a(n-11)+(-126*n^ 2+2088*n-8136)*a(n-12)+(20*n^2-268*n+312)*a(n-13)+2*(7*n-96)*(n-14)*a(n-14)+4*( 2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a (6) = 12, a(7) = 24, a(8) = 55, a(9) = 121, a(10) = 284, a(11) = 677, a(12) = 1698, a(13) = 4438, a(14) = 12216, a(15) = 35294}, [0, 1, 1, 3, 5, 12, 24, 55, 121, 284, 677, 1698, 4438, 12216, 35294, 106868, 337066, 1100477, 3694689, 12683402, 44311267, 156974695, 562311448, 2032598319, 7402418348, 27128640650, 99958348682, 370030593906, 1375427875214, 5131218313706, 19205321896059, 72094787887841, 271363182598562, 1023912516564328, 3872157524220870, 14673902202202700, 55715218238261844, 211923126291178613, 807432486029450782, 3081129285420566907, 11774612650440066350, 45058587039472401850, 172650370621759306148, 662345138411364857427, 2543892260717874552763, 9781009102423087497804, 37645617967899356990297, 145033451556547738464415, 559272956473335289670512, 2158548460031387023767003], 1739824018860431372815210\ 7178947491594022832194002220925317738759672627754475948827775588790468983069213\ 4327356151415267269021987958669226530065987160282397988378503648541870408571435\ 0715821128791351389537372271230683093008767586244549542986390580301882034294087\ 5839583984103557234872014054354211885126926547247078822831723804364317443216153\ 5850760414804204916378876728655607369786891534466406085023531950608739407144116\ 8028917498954992687782599994105589439617245303720976601442461564417869461550864\ 9224320795932164321479223493314071197805071344118580176680976221740029875608159\ 97332498317115093] ---------------------------- (A,B)= , {1, 5}, {1, 4, 5} [P^2*x^9-P^2*x^7+2*P*x^7-4*P^2*x^5-P^2*x^4+P*x^5+8*P^2*x^3+2*P*x^4+x^5+P^2*x^2-\ 10*P*x^3-4*P^2*x-4*P*x^2+2*x^3+P^2+8*P*x+3*x^2-2*P-4*x+1, (-C*x^3-2*x+1)/((x^5- x^3)*C+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)-6*(n-1)*(13*n-76)*a(n-1)+(467*n^2-4063*n +6288)*a(n-2)+(-1268*n^2+13594*n-29784)*a(n-3)+(1102*n^2-15662*n+47136)*a(n-4)+ (1674*n^2-17496*n+40704)*a(n-5)+(-3480*n^2+49602*n-167556)*a(n-6)+(-127*n^2-\ 2731*n+25056)*a(n-7)+(3008*n^2-47242*n+183468)*a(n-8)+(-625*n^2+8849*n-28608)*a (n-9)-(61*n-681)*(11*n-124)*a(n-10)+(215*n^2-1651*n-1704)*a(n-11)+(-326*n^2+ 1612*n+19152)*a(n-12)+(76*n^2-1586*n+8532)*a(n-13)+(116*n^2-1012*n-4272)*a(n-14 )+(-9*n^2+99*n+132)*a(n-15)+(-26*n^2+778*n-5832)*a(n-16)-2*(7*n-92)*(n-15)*a(n-\ 17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5 ) = 6, a(6) = 15, a(7) = 36, a(8) = 90, a(9) = 227, a(10) = 584, a(11) = 1529, a(12) = 4087, a(13) = 11175, a(14) = 31333, a(15) = 90263, a(16) = 267509, a(17 ) = 815912, a(18) = 2559382}, [0, 1, 1, 3, 6, 15, 36, 90, 227, 584, 1529, 4087, 11175, 31333, 90263, 267509, 815912, 2559382, 8243542, 27200137, 91689989, 314871271, 1098556035, 3884371611, 13890005841, 50140382750, 182445501165, 668366181020, 2462670937984, 9119364981080, 33916382472133, 126623090111218, 474337000713306, 1782280408943642, 6715054199017609, 25362795728949219, 96011801844415278, 364209125056950234, 1384220142523957331, 5270184505576548458 , 20098249016312980469, 76763345854977083911, 293609099841676473719, 1124517285991549444064, 4312296482382627606955, 16556367437342949850664, 63636522029336778784796, 244853446447079632754198, 943061662253021731006048, 3635680210141008577851400], 281882302511663323140744693880099532813597976672753\ 5102486947102500140383866499594939229766246730935134619546741031982407312550411\ 1616134827623729024799705628874872861006399778361993021306408990573982403812772\ 8551581008045322566194135225467651259989135872107937166255238485322555002885733\ 4927081720750888733145952822642753629998379341800585327381460534960974265636726\ 4937227747565868212615627155936662020089685190163372322959070107772553907466785\ 7469628932116613436204881972341427730746247631895814886937537826680826403701601\ 7754561118749158260597543167618763049435186760165463667359245910442735] ---------------------------- (A,B)= , {1, 5}, {2, 3, 4} [P^2*x^10-3*P^2*x^8-2*P*x^9-P^2*x^7+2*P*x^8+6*P^2*x^6+4*P*x^7+x^8+13*P^2*x^5-2* P*x^6-2*x^7+8*P^2*x^4-12*P*x^5-P^2*x^3-13*P*x^4+x^5-3*P^2*x^2+2*P*x^3+6*x^4-2*P ^2*x+4*P*x^2-x^3+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^4-x^4+x^3+x^2+x-1)/((x^5+x^4)*C- x^5+2*x^3+2*x^2+x-1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)+(-188*n^2+1520*n-\ 2304)*a(n-2)+(201*n^2-2217*n+5010)*a(n-3)+(204*n^2-2076*n+4560)*a(n-4)+(60*n^2+ 906*n-5952)*a(n-5)+(-923*n^2+12431*n-40278)*a(n-6)+(-699*n^2+4473*n+2322)*a(n-7 )+(1036*n^2-17638*n+71952)*a(n-8)+(1545*n^2-19875*n+53106)*a(n-9)+(346*n^2+2024 *n-47364)*a(n-10)+(-566*n^2+5732*n+10476)*a(n-11)+(170*n^2-11990*n+107964)*a(n-\ 12)+(552*n^2-11514*n+54720)*a(n-13)+(-725*n^2+28079*n-247050)*a(n-14)+(-1021*n^ 2+30271*n-220050)*a(n-15)+(139*n^2-9097*n+106686)*a(n-16)+(689*n^2-22955*n+ 190602)*a(n-17)+(274*n^2-8410*n+63780)*a(n-18)+(-261*n^2+8967*n-76338)*a(n-19)+ (-94*n^2+3082*n-24876)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 11, a(6) = 27, a(7) = 64, a(8) = 155, a(9) = 380, a(10) = 946, a(11) = 2401, a(12) = 6240, a(13) = 16678, a(14) = 46041, a(15) = 131702, a(16) = 391000, a(17) = 1204231, a(18) = 3838566, a(19) = 12616111, a( 20) = 42565076, a(21) = 146761335}, [0, 1, 2, 5, 11, 27, 64, 155, 380, 946, 2401, 6240, 16678, 46041, 131702, 391000, 1204231, 3838566, 12616111, 42565076, 146761335, 515032853, 1833267283, 6600427393, 23983996131, 87808998918, 323490053077, 1197995239745, 4456439356855, 16641770182835, 62356818828703, 234356022122758, 883163757094861, 3336319088120240, 12631680253995361, 47922742741898171, 182154518551824226, 693578342449787238, 2645179422765832927, 10103491776627586855, 38645800117820247144, 148016293657183661599, 567621395905924299412, 2179308694295209783335, 8376469451884403896051, 32229936264456734845215, 124133818580795004903621, 478554011845953426991479, 1846552346789984671048945, 7131210523405051160816629], 590242724749730495278555\ 7641713665768143060389288258907617201072436783513361576409470882911340270091990\ 7470916336729025887125586699430637910820072834439849533581154476655537857892597\ 1438880301514053016245863223301711766995942955660429757383630952951181083102365\ 4616890776463773006779256191210564684843871235276109887574939967941751244983443\ 1244997896103580752488794827851625704690504636885254802124808030459553152355201\ 9325751633185236702656680078717237561143310435965282514301345935131367325064313\ 1128339112312809977518080253578121845818775187947373967489394902182853949789380\ 987655046075561162] ---------------------------- (A,B)= , {1, 5}, {2, 3, 5} [P^2*x^9+4*P^2*x^8+6*P^2*x^7-2*P*x^8+3*P^2*x^6-6*P*x^7+P^2*x^5-4*P*x^6+x^7+3*P^ 2*x^4+P*x^5+2*x^6+4*P^2*x^3-2*P*x^4-x^5-P^2*x^2-6*P*x^3-3*P^2*x+2*x^3+P^2+6*P*x +x^2-2*P-3*x+1, ((x^4+x^3-x^2)*C-x^3-x^2-x+1)/((x^5+2*x^4+x^3-x^2)*C-x^4-2*x^3-\ 2*x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)+(-347*n^2+3067*n-4776)*a (n-2)+(706*n^2-7772*n+17304)*a(n-3)+(-186*n^2+3564*n-12528)*a(n-4)-2*(541*n-\ 2472)*(n-8)*a(n-5)+(563*n^2-9853*n+39324)*a(n-6)+(961*n^2-13937*n+49428)*a(n-7) +(-331*n^2+6263*n-28572)*a(n-8)+(-547*n^2+5549*n-7440)*a(n-9)+(439*n^2-4925*n+ 2412)*a(n-10)+(347*n^2+1091*n-48852)*a(n-11)+(-218*n^2+4870*n-21588)*a(n-12)+(-\ 244*n^2+1100*n+24528)*a(n-13)+(-113*n^2+709*n+9744)*a(n-14)+(21*n^2-1263*n+ 13884)*a(n-15)+(326*n^2-10414*n+83088)*a(n-16)+(417*n^2-13425*n+107928)*a(n-17) +(210*n^2-6870*n+56040)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 11, a(6) = 27, a(7) = 63, a(8) = 151, a(9) = 362, a(10) = 876, a(11) = 2140, a(12) = 5295, a(13) = 13313, a(14) = 34164, a( 15) = 89920, a(16) = 243976, a(17) = 685469, a(18) = 2000319, a(19) = 6068353}, [0, 1, 2, 5, 11, 27, 63, 151, 362, 876, 2140, 5295, 13313, 34164, 89920, 243976 , 685469, 2000319, 6068353, 19110404, 62259460, 208865199, 717938746, 2516703137, 8960768942, 32300092267, 117570104243, 431299182385, 1592252730341, 5909064595874, 22026122639048, 82412857370661, 309369059264895, 1164706570530928, 4396224991718813, 16632503638965609, 63060692564957354, 239555633654092830, 911663729960758434, 3475252347898349994, 13268172349120128439, 50729942211540320911, 194225520387166993532, 744562298694012076872, 2857697049692053378276, 10980503386863614325960, 42236927862083457269334, 162630404735930117464173, 626798350123559410037201, 2417963428081387995626433], 191725739493691793961924203232375625778537429509473\ 0047033750655868212313935792716475842978387284579608500427749754215380192990756\ 7166765063551048230032365154094163932214839727047496613672777112677973149325413\ 2441542469085580057776883817223507770284339223986007213131435625153252146434169\ 0319811793823659601637185159524831795227270144864167805484568761437628029784835\ 5635976511494778369559766572049155368369821084206678009017246268056388499128239\ 1462423501010739698179558526064804251197698312224924256875651892646761958104050\ 4847495409486282246942580305709020790763209575055797667579380064643600] ---------------------------- (A,B)= , {1, 5}, {2, 4, 5} [P^2*x^9+2*P^2*x^8-P^2*x^7-2*P*x^8-3*P^2*x^6-2*P^2*x^5+4*P*x^6+x^7+P^2*x^4+P*x^ 5-2*x^6+7*P^2*x^3+2*P*x^4+x^5+P^2*x^2-10*P*x^3-2*x^4-4*P^2*x-4*P*x^2+3*x^3+P^2+ 8*P*x+3*x^2-2*P-4*x+1, ((x^4-x^3)*C-2*x+1)/((x^5+x^4-x^3)*C-x^2-2*x+1), {-5*n*( n-5)*a(n)+6*(n-1)*(13*n-76)*a(n-1)+(-467*n^2+4063*n-6288)*a(n-2)+(1273*n^2-\ 13619*n+29784)*a(n-3)+(-1170*n^2+16146*n-47592)*a(n-4)+(-1338*n^2+14376*n-35328 )*a(n-5)+(2819*n^2-41743*n+147804)*a(n-6)+(196*n^2-452*n-8712)*a(n-7)+(-1585*n^ 2+30887*n-144516)*a(n-8)+(-624*n^2+8454*n-22596)*a(n-9)+(-n^2-7177*n+66468)*a(n -10)+(782*n^2-8920*n+3120)*a(n-11)+(276*n^2-1596*n-12060)*a(n-12)+(-226*n^2+278 *n+31932)*a(n-13)+(-61*n^2-373*n+13488)*a(n-14)+(52*n^2-974*n+3300)*a(n-15)-6*( 2*n-31)*(9*n-164)*a(n-16)+(-97*n^2+3065*n-24168)*a(n-17)+(58*n^2-1994*n+17016)* a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 75, a(8) = 189, a(9) = 480, a(10) = 1229, a(11) = 3176, a(12) = 8298, a(13) = 21966, a(14) = 59065, a(15) = 161801, a(16) = 452941, a(17) = 1299532, a(18) = 3830591, a(19) = 11618089}, [0, 1, 2, 5, 12, 30, 75, 189, 480, 1229, 3176, 8298, 21966, 59065, 161801, 452941, 1299532, 3830591, 11618089, 36269531, 116439331, 383667841, 1294002069, 4453594087, 15593695166, 55387969303, 199081144825, 722581003229, 2643896715483, 9738912422598, 36075590155145, 134270661961006, 501786477357031, 1881883403660571, 7079697675790355, 26707485369275214, 101000406169932232, 382808775862500402, 1453860239240215986, 5531868109815135765, 21084633961273100286, 80491573083432508855, 307734810665981342590, 1178153879072596249765, 4516359849224583074801, 17334129426890263142091, 66605742872706369058597, 256206110530279642102680, 986529215243235333643203, 3802329388866028337129393], 292645001943485315533947044413919873730749889620256\ 2775199352519102385583695899298061975730012538831336718087605394137111874969302\ 6801259337055315988428167227581391577713852379633168236677602808443523804546821\ 8659899259034486616922298312463444069756308116749439810538607493745743003573227\ 8615051059610036233437860587069784648903392708656158153568057422951307153240384\ 6265330373177818817238480321748389647348294747872817338582261586097101642372593\ 4013731939961730600909554162797511548463761374779889129707948638586514130819678\ 6773968486173425397878963185896439288973789454340414230868526606222702] ---------------------------- (A,B)= , {1, 5}, {3, 4, 5} [P^2*x^7-2*P*x^7+2*P^2*x^5+x^7+6*P^2*x^4-3*P*x^5+7*P^2*x^3-8*P*x^4+x^5-10*P*x^3 +3*x^4-4*P^2*x-2*P*x^2+3*x^3+P^2+8*P*x+2*x^2-2*P-4*x+1, (C*x^4+x^2+2*x-1)/(C*x^ 4+2*x^2+2*x-1), {-5*n*(n-5)*a(n)+6*(n-1)*(13*n-76)*a(n-1)+(-459*n^2+4005*n-6204 )*a(n-2)+(1177*n^2-12707*n+27912)*a(n-3)+(-810*n^2+11802*n-35976)*a(n-4)+(-1531 *n^2+18389*n-50580)*a(n-5)+(1429*n^2-23597*n+88956)*a(n-6)+(1937*n^2-29749*n+ 111504)*a(n-7)+(-248*n^2+8644*n-52656)*a(n-8)+(-1698*n^2+30402*n-135816)*a(n-9) +(-740*n^2+18634*n-112104)*a(n-10)+(-314*n^2+7666*n-46992)*a(n-11)+(-96*n^2+648 *n+6432)*a(n-12)+(23*n^2-1609*n+17244)*a(n-13)+(38*n^2-1222*n+9672)*a(n-14)-2*( 7*n-92)*(n-15)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 6, a(5) = 16, a(6) = 45, a(7) = 125, a(8) = 350, a(9) = 981, a(10) = 2759, a(11) = 7782, a(12) = 22027, a(13) = 62593, a(14) = 178687, a(15) = 512861, a(16) = 1481382}, [0, 1, 2, 6, 16, 45, 125, 350, 981, 2759, 7782, 22027 , 62593, 178687, 512861, 1481382, 4311134, 12657431, 37546383, 112705427, 342906281, 1059078398, 3324945851, 10621441675, 34543975133, 114387570662, 385485920614, 1320896972132, 4596368694998, 16218239162929, 57936312141561, 209207123124257, 762499975587615, 2801306010821709, 10361641149921049, 38548339540939533, 144119219788295945, 541088683652537590, 2038870822191522770, 7706816972876683318, 29211319297023794959, 110987847635973235459, 422600525418382749641, 1612193966679939693858, 6161063666586373253629, 23581789435461227350407, 90390432901968110026560, 346931139683458843832688, 1333203754110178043393654, 5129146641248573603117395], 376258633454888228205844\ 3178543801916418075922370736321894062748295670794705699847188677505999411343928\ 2853445398183395364290365766885398821762680124097114656354042975808980108359572\ 2691868452062133466495050881856019173197786067088101838337366491605794860559693\ 1195758854177686979565610544380621945520792920887836146078814635820916058585821\ 0043673479293712108470245206669759444076851295795148426714352536914324678123678\ 1464183872377740693457823563889857926836805749572814478496274313248700757194691\ 9803804603290773348357522798745395344818649264822272213624943505455871030998371\ 036370741637605000] ---------------------------- (A,B)= , {1, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^9+P^2*x^7+4*P^2*x^6+4*P^2*x^5-2*P^2*x^4-2*P*x^5-2*P^2*x^3+3*P *x^4-2*P^2*x^2+2*P*x^3+2*P*x^2+P^2-2*P+1, -1/(C*x^5-x^5+x^4+x^3+x^2-1), {-4*n*( n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)+(-62*n^2+560*n-888)*a(n-2)+(-77*n^2+605*n-\ 978)*a(n-3)+(110*n^2-1214*n+2868)*a(n-4)+(112*n^2-1492*n+4296)*a(n-5)+(240*n^2-\ 1662*n+1428)*a(n-6)+(-210*n^2+2538*n-6684)*a(n-7)+(-430*n^2+4846*n-13236)*a(n-8 )+(-82*n^2+1072*n-4248)*a(n-9)+(91*n^2-1963*n+7998)*a(n-10)+(300*n^2-3456*n+ 10176)*a(n-11)+(42*n^2-1440*n+8808)*a(n-12)+(-39*n^2+189*n+1494)*a(n-13)+(-6*n^ 2+150*n-732)*a(n-14)+(10*n^2-142*n+444)*a(n-15)+(-10*n^2+256*n-1608)*a(n-16)+4* (2*n-23)*(n-12)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 2, a(6) = 5, a(7) = 7, a(8) = 15, a(9) = 31, a(10) = 78, a(11) = 210, a(12) = 628, a(13) = 1978, a(14) = 6505, a(15) = 21985, a(16) = 75834, a(17) = 265541}, [0, 1, 1, 2, 2, 5, 7, 15, 31, 78, 210, 628, 1978, 6505, 21985, 75834, 265541, 940961, 3366725, 12143921, 44107389, 161163847, 591983960, 2184634684, 8095776950, 30113915285, 112395742344, 420797361360, 1579868299176, 5946922879791, 22438730694593, 84851616393265, 321519886452787, 1220615705121394, 4642131139149986, 17683682650134492, 67468219226245685, 257783803598213045, 986289028175561507, 3778423329131458794, 14492503881500326597, 55651105095944050671, 213931723202197215785, 823233740443379307199, 3170991798637110119675, 12225598984006038935137, 47176839676618878457097, 182202019228437095902270, 704249238109472585325332, 2724161142560281814113847], 239569981457102726531977534790345505819829231564682\ 8240869799448798477003944533201143473900161172129262646471696359928629808039541\ 1558831060087705930010900847260140250299358274189029515474480310867001800439609\ 4356266071071864284357969085057335324591801005943606283755881717355399533179877\ 5328296099442166257250481702444939604370439920475332907867483312529547421373956\ 7644524735593878606304497004073509633361834518367599241826637255499379774020235\ 1785877242964924779665099837021493640281675229416950590738753295752175211426766\ 2802800059236135133852585966493692725783796513182096392107456589143565] ---------------------------- (A,B)= , {1, 5}, {1, 2, 3, 5} [P^2*x^9+2*P^2*x^8+P^2*x^7-P^2*x^6+2*P*x^6+P^2*x^4+P*x^5+P^2*x^3-2*P^2*x^2-2*P* x^3-P^2*x+2*P*x^2+x^3+P^2+2*P*x-2*P-x+1, (-C*x^2+1)/((x^5+x^4-x^2)*C-x^4-x^3-x^ 2+1), {5*n*(n-5)*a(n)-3*(n-1)*(17*n-104)*a(n-1)+(155*n^2-1441*n+2292)*a(n-2)+(-\ 66*n^2+978*n-2628)*a(n-3)+(-309*n^2+3255*n-7368)*a(n-4)+(275*n^2-3769*n+11940)* a(n-5)+(180*n^2-2232*n+6348)*a(n-6)+(-159*n^2+3099*n-13848)*a(n-7)+(-175*n^2+ 1487*n-780)*a(n-8)+(130*n^2-2090*n+7812)*a(n-9)+(198*n^2-1962*n+2448)*a(n-10)+( -85*n^2+1829*n-8316)*a(n-11)+(-146*n^2+1936*n-5400)*a(n-12)+(18*n^2-612*n+4152) *a(n-13)+(26*n^2-364*n+840)*a(n-14)+(-10*n^2+230*n-1296)*a(n-15)+(6*n^2-192*n+ 1488)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 2, a(6) = 5, a(7) = 6, a(8) = 13, a(9) = 22, a(10) = 50, a(11) = 114, a(12) = 309, a(13) = 889, a(14) = 2768, a(15) = 8977, a(16) = 30107, a(17) = 103197}, [0, 1, 1, 2, 2, 5, 6, 13, 22, 50, 114, 309, 889, 2768, 8977, 30107, 103197, 359751, 1270263, 4532048, 16308593, 59115050, 215627083, 790842605, 2914610329, 10788112912, 40086007170, 149471815798, 559120083346, 2097534419013 , 7889796562697, 29749702764021, 112428870134055, 425773791403222, 1615552937136278, 6141107833833851, 23383171635957233, 89175231169413585, 340585846122426659, 1302602026860371937, 4988435982909856624, 19127238923642970820, 73425312525238075440, 282174509440689142291, 1085533334478435530874, 4180217126734188038891, 16112518052395665234712, 62160867386890250542232, 240016650835163224122026, 927511276305895820289514], 7830481604667684787180976254331874678366652340409622414900102257194076860316761\ 7651557996244159260731536022608265274624115308956406928521793874801893710529027\ 4226612398694486466366444442075005842601621866419477280475695715135344897515197\ 8274245244900552688442154779640301296863416520471984862085581068337472124508553\ 9600587076864336712229638133941724387363447740999907948981166921473032527309728\ 8838632375645310897894858656894356203904758113062859586786782150092549743448186\ 2082026406629370406187649346699813653504256407316922522433123306787149709769927\ 47698506531966906281377976862576872901898] ---------------------------- (A,B)= , {1, 5}, {1, 2, 4, 5} [P^2*x^9-2*P^2*x^7-P^2*x^6+2*P*x^7+3*P^2*x^4-P*x^5+3*P^2*x^3-2*P*x^4+x^5-2*P^2* x^2-4*P*x^3-2*P^2*x+2*P*x^2+x^3+P^2+4*P*x-2*P-2*x+1, (-C*x^3-x+1)/((x^5-x^3)*C- x^2-x+1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+3*(81*n-164)*(n-7)*a(n-2)+(-305 *n^2+3589*n-8352)*a(n-3)+(-304*n^2+2684*n-4752)*a(n-4)+(789*n^2-10359*n+31068)* a(n-5)+(177*n^2-1089*n-696)*a(n-6)+(-755*n^2+11599*n-42816)*a(n-7)+(-188*n^2+ 2902*n-10956)*a(n-8)+(132*n^2-4974*n+32628)*a(n-9)+(336*n^2-5118*n+17436)*a(n-\ 10)+(193*n^2-899*n-8724)*a(n-11)+(-247*n^2+3449*n-9396)*a(n-12)+(-71*n^2+379*n+ 5040)*a(n-13)+(72*n^2-1380*n+6672)*a(n-14)+(27*n^2-549*n+2580)*a(n-15)-6*(7*n-\ 100)*(n-17)*a(n-16)-2*(7*n-92)*(n-15)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a (1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 22 , a(9) = 46, a(10) = 103, a(11) = 247, a(12) = 639, a(13) = 1775, a(14) = 5249, a(15) = 16336, a(16) = 52908, a(17) = 176633, a(18) = 603426}, [0, 1, 1, 2, 3, 6, 11, 22, 46, 103, 247, 639, 1775, 5249, 16336, 52908, 176633, 603426, 2098236 , 7397693, 26372721, 94877317, 343934279, 1254891006, 4604415826, 16977716828, 62874621154, 233754843631, 872098436478, 3263970080439, 12251214361452, 46106004729808, 173935358711577, 657640024977570, 2491643957162794, 9458375668381118, 35968494538925991, 137009689680257558, 522705323372069226, 1997086717160502277, 7640695841317281747, 29270486191883036317, 112268019875275374640, 431103982280691117988, 1657223096269372034678, 6377172210044508896019, 24564091057383718546273, 94706004383661854916411, 365459296073776736738974, 1411454930031779118657455], 1165794912258075179164365\ 8366509136656453182543928978536805144473622850925482575354978640970469084399493\ 6309826115947389870374540969920314806252972083776144509039235294998745582500320\ 7675644430580998816384486673076003574373187878312918852391578200396776503151662\ 5485636684539705005805267690839974151794038242016424545203370251885001217293924\ 6686485974481519888892542681057580258224570800968917565264665932143990532018461\ 1771724169306686409189373551047546639826872488784173566243925225699523045146329\ 6454664023212823502136625946805980474879831926500543724237452935665600938268299\ 41171709697028735] ---------------------------- (A,B)= , {1, 5}, {1, 3, 4, 5} [P^2*x^7-2*P*x^7+2*P^2*x^5+x^7+5*P^2*x^4-3*P*x^5+3*P^2*x^3-6*P*x^4+x^5-3*P^2*x^ 2-4*P*x^3+2*x^4-2*P^2*x+4*P*x^2+x^3+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^4+x^2+x-1)/(C *x^4+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-235*n^2+2135*n-3360)* a(n-2)+(223*n^2-2807*n+6744)*a(n-3)+(544*n^2-5564*n+12432)*a(n-4)+(-814*n^2+ 11210*n-34704)*a(n-5)+(-790*n^2+9956*n-30468)*a(n-6)+(848*n^2-14524*n+59040)*a( n-7)+(1014*n^2-15672*n+60132)*a(n-8)+(-235*n^2+3605*n-13332)*a(n-9)+(-393*n^2+ 9147*n-51948)*a(n-10)+(-157*n^2+5273*n-39552)*a(n-11)+(-68*n^2+1156*n-3936)*a(n -12)+(23*n^2-1393*n+14436)*a(n-13)+(38*n^2-1222*n+9672)*a(n-14)-2*(7*n-92)*(n-\ 15)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 12, a(7) = 24, a(8) = 54, a(9) = 117, a(10) = 267, a(11) = 618, a(12) = 1495, a(13) = 3767, a(14) = 10002, a(15) = 28004, a(16) = 82681} , [0, 1, 1, 3, 5, 12, 24, 54, 117, 267, 618, 1495, 3767, 10002, 28004, 82681, 256062, 826005, 2753534, 9418157, 32858072, 116397530, 417257234, 1509917627, 5505724877, 20203094025, 74531377433, 276220465275, 1027820537255, 3838168308247, 14378510241044, 54019746061098, 203482322125741, 768315289468826 , 2907415415495960, 11024432663788646, 41881512473826455, 159385221967742510, 607550086375363007, 2319414866910144052, 8867385078964272464, 33946566335191480135, 130120302322690999169, 499357955181295050022, 1918527349704455064602, 7378819548340953081973, 28408251812738536241539, 109475912367660188973519, 422268301508378422183247, 1630178431531082129112236], 1326680540956734121480370363042142137048580015183638343181749842019662609093680\ 8923707500212444718977231104496991127723464570920606260934147059118502579192130\ 3650582194045599057331809285998137232805307006830026010321472064235074658781405\ 5254775495547316254054565295827065062485689345050497634485402475221818327238453\ 3667865066267145051080556296584083795088057191936547891067546362474555727594739\ 0162501850133492273431538273543741200923723581664126216197824640250826557793498\ 4649736946319423131821001426863494824872230509322129335286744494253485031493063\ 266550039290640713069791680788841719159479] ---------------------------- (A,B)= , {1, 5}, {2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9-2*P*x^10+4*P^2*x^8-2*P*x^9+8*P^2*x^7-2*P*x^8+x^9 +11*P^2*x^6-6*P*x^7+10*P^2*x^5-10*P*x^6+x^7+5*P^2*x^4-11*P*x^5+2*x^6-6*P*x^4+3* x^5-3*P^2*x^2+2*x^4-2*P^2*x+4*P*x^2+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^5+x^3+x^2+x-1 )/((x^6+x^5)*C+x^4+2*x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-\ 235*n^2+2135*n-3360)*a(n-2)+(242*n^2-2938*n+6936)*a(n-3)+(350*n^2-3754*n+8616)* a(n-4)+(-264*n^2+4512*n-15936)*a(n-5)+(-748*n^2+11324*n-39888)*a(n-6)+(-576*n^2 +6348*n-15120)*a(n-7)+(500*n^2-13084*n+70992)*a(n-8)+(1498*n^2-28262*n+129552)* a(n-9)+(1349*n^2-19327*n+56604)*a(n-10)+(291*n^2+3333*n-66096)*a(n-11)+(-690*n^ 2+18516*n-118716)*a(n-12)+(-742*n^2+20726*n-146928)*a(n-13)+(12*n^2+2106*n-\ 26316)*a(n-14)+(627*n^2-19899*n+161760)*a(n-15)+(923*n^2-33901*n+306804)*a(n-16 )+(1064*n^2-41320*n+392880)*a(n-17)+(1038*n^2-39894*n+379608)*a(n-18)+(787*n^2-\ 29531*n+276648)*a(n-19)+(408*n^2-15252*n+142368)*a(n-20)+(195*n^2-7437*n+70524) *a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 11, a(6) = 27, a(7) = 63, a(8) = 150, a (9) = 358, a(10) = 859, a(11) = 2077, a(12) = 5072, a(13) = 12546, a(14) = 31567, a(15) = 81188, a(16) = 214639, a(17) = 586574, a(18) = 1664859, a(19) = 4921256, a(20) = 15152331, a(21) = 48473070, a(22) = 160396654, a(23) = 546014962}, [0, 1, 2, 5, 11, 27, 63, 150, 358, 859, 2077, 5072, 12546, 31567, 81188, 214639, 586574, 1664859, 4921256, 15152331, 48473070, 160396654, 546014962, 1901781718, 6744560647, 24257484159, 88202050982, 323463543989, 1194327192032, 4434154658822, 16537630826204, 61915883237162, 232575621802214, 876154215823781, 3309105791446810, 12526849171419234, 47520602741222068, 180615054412232265, 687689586488629821, 2622653971812532896, 10017289651475454269, 38315679980054192579, 146750977540341945562, 562767051171117855780, 2160667282355955518039, 8304814889477618647755, 31954247555708587222736, 123072139117731272783112, 474461836530621591430548, 1830765787056527732526764], 146555574684400259054045708715733854211940403664828\ 9739493990327883686309162929203541578180155239897483397692444406442249671417511\ 8231015281247581057097816695039612995393568816634804967463382099674322447482186\ 2900663925195149769444005654098852859744117712816041036246838056862593150876460\ 4508661437096160410702721754215807067768027230514348202800846899081576823786563\ 2105549796335716398589348736581551690437687737867819764116536202447985513619076\ 1940655229586317734701965148467683385393889361436504503625231611713524074847336\ 5801244416675749396394965725213540653021855926001330288232514451927761] ---------------------------- (A,B)= , {1, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^9+2*P^2*x^8+3*P^2*x^7+3*P^2*x^6+P^2*x^5-P^2*x^4+P*x^5-2*P^2*x^3 +2*P*x^4-2*P^2*x^2+2*P*x^3+2*P*x^2+P^2-2*P+1, -1/(C*x^6+x^4+x^3+x^2-1), {-5*n*( n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-75*n^2+753*n-1236)*a(n-2)+(-98*n^2+880*n-\ 1512)*a(n-3)+(130*n^2-1610*n+4032)*a(n-4)+(201*n^2-2457*n+6600)*a(n-5)+(105*n^2 -981*n+1920)*a(n-6)-6*(n-6)*(14*n-219)*a(n-7)+(-308*n^2+4528*n-16092)*a(n-8)+(-\ 293*n^2+3913*n-12924)*a(n-9)+(-84*n^2+624*n-300)*a(n-10)+(88*n^2-2342*n+12360)* a(n-11)+(259*n^2-4385*n+19212)*a(n-12)+(95*n^2-2653*n+15384)*a(n-13)+(64*n^2-\ 1508*n+8496)*a(n-14)+(70*n^2-1280*n+5916)*a(n-15)+(34*n^2-644*n+3024)*a(n-16)+( 23*n^2-493*n+2628)*a(n-17)+2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 1, a (3) = 1, a(4) = 2, a(5) = 2, a(6) = 5, a(7) = 6, a(8) = 12, a(9) = 20, a(10) = 42, a(11) = 91, a(12) = 236, a(13) = 663, a(14) = 2039, a(15) = 6594, a(16) = 22127, a(17) = 76023, a(18) = 265739}, [0, 1, 1, 2, 2, 5, 6, 12, 20, 42, 91, 236, 663, 2039, 6594, 22127, 76023, 265739, 940822, 3364808, 12134360, 44067651 , 161008296, 591389911, 2182388741, 8087319140, 30082097955, 112276008523, 420346319562, 1578166885574, 5940495051430, 22414408346871, 84759436614722, 321169986758223, 1219285524851194, 4637066906014485, 17664375048935795, 67394508816539489, 257502036892354905, 985210613333661054, 3774291016484721220, 14476651722882309469, 55590228631024664006, 213697702011812148189, 822333236216823480026, 3167523453639678407615, 12212228504464349334381, 47125252349141525513830, 182002816827281577913121, 703479422629203645580403], 5991892583997181823136622538618574040309464055776447298004365100004417078581730\ 7015844732018097747636513440695753229825231817368847257879294990528983260988949\ 7115861441023692465650145865590668349892832205775780946068829419150255273382307\ 7822468730980019013164940990990152584548178781398298067826944680018345911203680\ 6492758083235927492039479914445044076059548592651794660088968822579778989047514\ 4114257142940828360407851239115364774967507832755258472392691882904634069953985\ 7680142045667368904960990096521308021323529231036443231074056132989769408046067\ 52970469104669211762288908151520893342512] ---------------------------- (A,B)= , {2, 3}, {} [x^3+P^2-3*P*x+2*x^2-2*P+3*x+1, ((x^2+x)*C-x^2-x-1)/(C*x-1), {(n-1)*n*a(n)-2*(n -1)*(5*n-12)*a(n-1)+(21*n^2-111*n+132)*a(n-2)+6*(n-4)*(2*n-9)*a(n-3) = 0, a(1) = 1, a(2) = 1, a(3) = 1}, [1, 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420, 24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452, 18367353072152, 69533550916004, 263747951750360, 1002242216651368, 3814986502092304, 14544636039226909, 55534064877048198, 212336130412243110, 812944042149730764, 3116285494907301262, 11959798385860453492, 45950804324621742364, 176733862787006701400, 680425371729975800390, 2622127042276492108820, 10113918591637898134020, 39044429911904443959240, 150853479205085351660700, 583300119592996693088040, 2257117854077248073253720, 8740328711533173390046320, 33868773757191046886429490, 131327898242169365477991900], 128265912312032938999\ 2418907864563882089032052318971850610071333658659691765063650897139226963638433\ 0131169530183206423519818758891241594708333432801586456589355098785210836810170\ 9312590228295938009433241620526247192140999561162751158086315074018026699675460\ 2824885598197887476283926138637334480765160463004590372133777681615368106466120\ 7184425277845724281859993280991008551620001919159612657321574621625824171710594\ 9596945086725752677939963074419330042262461785897282518971742893682255505361949\ 5392164363039745449299044574026427298505696059662600019407610860955183614906034\ 11114114203867955760000] ---------------------------- (A,B)= , {2, 3}, {1} [P^2*x^5-2*P^2*x^4+P^2*x^3+3*P^2*x^2-2*P*x^3-4*P^2*x+2*P^2+3*P*x-4*P+x+2, (C*x- x-1)/((x^3-x^2+x)*C-x^3+x^2-1), {-4*(n-1)*n*a(n)+48*(n-2)*(n-1)*a(n-1)+(-188*n^ 2+848*n-936)*a(n-2)+(290*n^2-1586*n+2160)*a(n-3)+(-213*n^2+1611*n-3132)*a(n-4)+ (53*n^2-1319*n+4836)*a(n-5)+(-2*n^2+1142*n-5448)*a(n-6)+(-21*n^2-345*n+2340)*a( n-7)+(66*n^2-810*n+2520)*a(n-8)+(-62*n^2+866*n-3000)*a(n-9)+12*(2*n-13)*(n-8)*a (n-10) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 41, a(8) = 126, a(9) = 402, a(10) = 1321}, [1, 1, 1, 2, 5, 14, 41, 126, 402, 1321, 4441, 15203, 52816, 185733, 659871, 2364937, 8539838, 31040495, 113478164 , 416980018, 1539211507, 5705044691, 21223873539, 79222097044, 296616389757, 1113675209778, 4192159338318, 15817784363441, 59814272913753, 226645132503265, 860416393513293, 3272172907555246, 12464622058934407, 47554546994349786, 181691233479903554, 695132321224479207, 2662921801790735605, 10213520933899909951, 39218409126795076734, 150756294049832798869, 580106255448689423858, 2234414446430482707604, 8614362307141809068755, 33240411862352206604297, 128373540751742907106433, 496173703671591084311738, 1919222972406942309003491, 7429096205405994535079238, 28777411313781870311516400, 111547502887631680035666669], 107301340476900198004\ 3022852415893712005563113795599587698025334832540419926184748783338974981499787\ 5367614518963758971357881716521854509403559902934965498966069381831437662356017\ 0270967049614027165838349826398693895737198343594336764820581958233982929677380\ 2491016874464690024135591607107996326483611152322382010548741242418528565573915\ 5960007263811317498936555381298713815638489640676609186233152518637926791684268\ 7563748658390375016490253237184310017720336499243392410546099048104679087814558\ 8278422476887140531860120955996507697461881863799959132814585931478358674081646\ 26714271384565401133694] ---------------------------- (A,B)= , {2, 3}, {2} [P^2*x^4-2*P^2*x^3-2*P*x^4+4*P^2*x^2+2*P*x^3+x^4-3*P^2*x-5*P*x^2+P^2+4*P*x+2*x^ 2-2*P-x+1, (C*x^2-x^2-1)/(C*x^2-x^2+x-1), {-n*(n-2)*a(n)+(13*n^2-50*n+36)*a(n-1 )-4*(8*n-15)*(2*n-7)*a(n-2)+(158*n^2-1042*n+1668)*a(n-3)+(-225*n^2+1728*n-3300) *a(n-4)+(181*n^2-1493*n+2970)*a(n-5)+(-61*n^2+245*n+738)*a(n-6)-6*(7*n-50)*(n-\ 16)*a(n-7)+(64*n^2-1166*n+5244)*a(n-8)-(5*n-42)*(7*n-65)*a(n-9)+6*(n-10)*(2*n-\ 17)*a(n-10) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 13, a (7) = 36, a(8) = 106, a(9) = 327, a(10) = 1045}, [1, 1, 1, 2, 5, 13, 36, 106, 327, 1045, 3433, 11529, 39414, 136733, 480180, 1703807, 6099193, 22000823, 79890801, 291808480, 1071403389, 3952020216, 14638293671, 54424065467, 203034222400, 759790586108, 2851348853311, 10728474996286, 40463929597582, 152954346844120, 579360875031653, 2198706838568725, 8359108281762525, 31832900933458770, 121414387352480205, 463767198460804970, 1773894781707379869, 6793896919957722629, 26052030028473231638, 100015329095164501530, 384385629016815344827, 1478831105536752569398, 5695056470981344209128, 21952519511373386671936, 84695039144155916932505, 327039800428485491619329, 1263849346853594929350751, 4887944251701029342021731, 18918148640934696765014662, 73272101566469724180468725], 6801617420907645602798\ 5444537313904732925395769869695913046781324650553039745465162490328182490298488\ 8327999245486192087993690530216744087641319195784885682404644321213378775039225\ 0617399848113916558896473339449103791133602574398839483640091430703661704450110\ 2490748710602137116069130288447258757325843273217914786902623525466897519990287\ 7315078698027480518480989156548429578514542865186316481291376039268092953932233\ 6983799060772915615905752604506711605250868731049999757128422961134225812850700\ 8116764011668343730295296570605393375838448113082786905570045086639964941897189\ 467456023371706419500] ---------------------------- (A,B)= , {2, 3}, {3} [P^2*x^3-2*P*x^4+x^5+2*P^2*x^2-3*P*x^3+2*x^4-3*P^2*x+x^3+P^2+4*P*x-x^2-2*P-x+1, (-1+(x^3+x^2)*C)/(C*x^2+x-1), {-3*n*(n-3)*a(n)+(39*n^2-189*n+144)*a(n-1)+(-188* n^2+1224*n-1624)*a(n-2)+(413*n^2-3315*n+5944)*a(n-3)+(-390*n^2+3738*n-8256)*a(n -4)+(38*n^2-480*n+1048)*a(n-5)+(150*n^2-2016*n+7032)*a(n-6)+(-56*n^2+1008*n-\ 4552)*a(n-7)+(-2*n^2-12*n+272)*a(n-8)+4*(2*n-19)*(n-10)*a(n-9) = 0, a(1) = 1, a (2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 22, a(8) = 58, a(9) = 163}, [1, 1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547 , 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902, 23270147619699743008876442], 20620394747288742061669\ 3199101039340859033456183291715378965578360799240733272707344702709064202535007\ 4945705126489073145638285358843475138072822037848253305286123250568424029693759\ 7513799352007288634163200395140724567853271620588615540166760404039743906059955\ 4159554971079948898934455763470830014136519759929559203359598727848957753017155\ 8580065029590829783739456751199691579148822616939932632495214989071950133678784\ 1219328274501018139720438238584645774044796309691669916911826585844374075524013\ 9875110185379741510414645431933199556511396243076210411902308096468935873280438\ 40209190795261172632] ---------------------------- (A,B)= , {2, 3}, {4} [x^7-2*P*x^5+4*x^6+P^2*x^3-9*P*x^4+7*x^5+6*P^2*x^2-6*P*x^3+8*x^4-5*P^2*x-4*P*x^ 2+2*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((x^4+x^3+x^2)*C+x^3+x^2+x-1)/(C*x^2+2*x-1), { -4*n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-1)+(-434*n^2+3206*n-4500)*a(n-2)+(1429*n ^2-12853*n+24714)*a(n-3)+(-2369*n^2+25025*n-59586)*a(n-4)+(1550*n^2-18686*n+ 51492)*a(n-5)+(225*n^2-3279*n+12438)*a(n-6)+(-204*n^2+2610*n-6444)*a(n-7)+(-354 *n^2+7194*n-36732)*a(n-8)+(6*n^2-264*n+2184)*a(n-9)+4*(2*n-23)*(n-12)*a(n-10) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 13, a(7) = 35, a(8) = 97, a(9) = 276, a(10) = 805}, [1, 1, 1, 2, 5, 13, 35, 97, 276, 805, 2404, 7343, 22916, 72980, 236857, 782275, 2625265, 8938718, 30834165, 107608097, 379454447, 1350434278, 4845475311, 17512579630, 63703732426, 233063976059, 857067469749, 3166309373615, 11745982220846, 43736933794243, 163409819344676, 612415062653080, 2301627415153461, 8672479097155517, 32755202434296043, 123984146212620561, 470251102237219228, 1786931561888319841, 6802111091955394040, 25935000481117133188, 99035202677825435351, 378714703735090725951, 1450161164914390585861, 5559907771213558938638, 21341984205122852560893, 82014231825056416720796, 315503776035235853259224, 1214944984225803265071151, 4682988152685541482167655, 18066884936114900040405865], 14386204820607645919013880450311542743980709355830\ 5260075690065200456400350985019588009606845466177083847997092620384608992303283\ 9449911108552347192061616803479130694538177811136021216641096126047468902067165\ 6620938490926428148123062732996380481455096527125009742200332849792061477470999\ 4816715815123505374924155048663736269703654205867301573125922972333755911337767\ 6690605631875123229159451380836998516037519115655617395591354150786890193541830\ 6268961694874828346127077352965755674748737505482954140448695216906392463335867\ 311051160884169430829188832049012578440478384888613826395143465131957724] ---------------------------- (A,B)= , {2, 3}, {5} [P^2*x^5+3*P*x^5+x^6-9*P^2*x^3-2*P*x^4+2*x^5+15*P^2*x^2+6*x^4-7*P^2*x-18*P*x^2+ 4*x^3+P^2+12*P*x+4*x^2-2*P-5*x+1, (-C*x^2-x^3-x^2-2*x+1)/((x^3-x^2)*C+x^2-3*x+1 ), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+(-856*n^2+7094*n-10404)*a(n-2)+( 3934*n^2-38840*n+78468)*a(n-3)+(-10546*n^2+120404*n-302724)*a(n-4)+(16401*n^2-\ 211779*n+627516)*a(n-5)+(-13600*n^2+195506*n-660828)*a(n-6)+(4577*n^2-74527*n+ 290592)*a(n-7)+(87*n^2+4065*n-43956)*a(n-8)+(-82*n^2-1846*n+26604)*a(n-9)+(-98* n^2+2452*n-15264)*a(n-10)+(-27*n^2+585*n-3156)*a(n-11)+6*(n-12)*(2*n-25)*a(n-12 ) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 41, a(8) = 123, a(9) = 375, a(10) = 1158, a(11) = 3616, a(12) = 11408}, [1, 1, 1, 2 , 5, 14, 41, 123, 375, 1158, 3616, 11408, 36344, 116887, 379425, 1242946, 4108608, 13702559, 46101320, 156443342, 535358524, 1847020480, 6422697809, 22503341559, 79416927946, 282201414414, 1009305302279, 3631928117088, 13144286287248, 47825317194305, 174880024092245, 642437035086245, 2370188361767701, 8779286888373549, 32638533007332596, 121752229459634305, 455603392106953800, 1709850976435435886, 6434232862104322508, 24272601426303701634, 91777909105927663749, 347768633099630523997, 1320406161293418332928, 5022614444437721823174, 19138279159863124583027, 73042742037287374175002, 279194686821542514498198, 1068690213380866135735911, 4096126734439159230090951, 15719447962188138773586787], 10632019748184106871547\ 1801158948086473614485616850581555044213988968452641979116224256193440248897965\ 4719865197901638441488227666023199645128838186359940290729147412451635131153911\ 5106153760443948501028650468774732862703944009229760898248573600342132072403228\ 2608012573693531997744590743220639666124924104513954256305198989570301181442709\ 4009829853544104208604460245049694777493886146907167108272266771703766158357510\ 8700562665900697285585902379168347721474586181356018714703886298023563421179755\ 1018848602784628294859586610804583301444235662859973744769761973000826585564866\ 79036290889373554276] ---------------------------- (A,B)= , {2, 3}, {1, 2} [P^2*x^6-2*P^2*x^4+3*P^2*x^3-2*P*x^3-2*P^2*x+P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^3-x ^3+x-1), {-2*n*(n-2)*a(n)+(23*n-22)*(n-3)*a(n-1)+(-88*n^2+500*n-624)*a(n-2)+( 118*n^2-884*n+1512)*a(n-3)+(11*n^2+227*n-954)*a(n-4)+(-176*n^2+988*n-936)*a(n-5 )+(154*n^2-1100*n+1608)*a(n-6)-(35*n-142)*(n-9)*a(n-7)+(-22*n^2-94*n+1140)*a(n-\ 8)+(8*n^2+20*n-432)*a(n-9)-2*(n-6)*(n-8)*a(n-10)+4*(2*n-15)*(n-8)*a(n-11) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 13, a(7) = 35, a(8) = 100, a(9) = 302, a(10) = 952, a(11) = 3099}, [1, 1, 1, 2, 5, 13, 35, 100, 302, 952, 3099, 10341, 35191, 121675, 426235, 1509527, 5395752, 19440653, 70527674, 257410261, 944502532, 3482057011, 12891663255, 47911465803, 178677801603, 668446930852, 2507902435597, 9434058742432, 35574593704411, 134448013413936, 509178929420527, 1932075964933201, 7344435676690123, 27965432572431014, 106651485392247266, 407335498083119739, 1557898433022636919, 5966126693955762129, 22876003814630422942, 87815822218408485955, 337476272522609413495, 1298274823221131763073, 4999423331259768386066, 19270001954332467875448, 74341685892136572824965, 287047314819803047192623, 1109246113759602311205579, 4289826753005486781177806, 16602524221537751188087927, 64300908486673015955498405], 5961288062574494529929\ 9376665716602517911768333660338471845879579918920918930791185412038749639907556\ 1543703360590461233126020887650092036215552026451604104823819250725585722650113\ 2211899196552393967126298212320263067759756217346756097532365106838734071777924\ 4887136816191373792822001436609549384107599575413228706334305398724433492444023\ 7903499299684191498685699877626471914670700776958295669374017661064346569162688\ 8929789615254995509036595263323174179037033104222994593823773590656485820595441\ 5118580287824469972523653098371397104372253085474935127610900653925065875492170\ 447333215457081554484] ---------------------------- (A,B)= , {2, 3}, {1, 3} [P^2*x^7-2*P^2*x^6+3*P^2*x^5-P^2*x^4-2*P*x^5-P^2*x^3+2*P*x^4+3*P^2*x^2-P*x^3-3* P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+1, (C*x^2-1)/((x^4-x^3+x^2)*C+x-1), {-3*n*(n-\ 3)*a(n)+(39*n^2-189*n+144)*a(n-1)+(-192*n^2+1242*n-1644)*a(n-2)+(462*n^2-3636*n +6468)*a(n-3)+(-600*n^2+5526*n-12060)*a(n-4)+(400*n^2-4446*n+11828)*a(n-5)+(-7* n^2+1347*n-7124)*a(n-6)+(-306*n^2+1080*n+5244)*a(n-7)+(368*n^2-1800*n-5048)*a(n -8)+(-255*n^2+1623*n+1668)*a(n-9)+(148*n^2-1716*n+4664)*a(n-10)+(-122*n^2+2322* n-11248)*a(n-11)+24*(5*n-52)*(n-11)*a(n-12)-2*(5*n-52)*(7*n-79)*a(n-13)+12*(2*n -21)*(n-12)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 54, a(9) = 149, a(10) = 438, a(11) = 1350, a(12) = 4320, a(13) = 14230, a(14) = 47954}, [1, 1, 1, 2, 4, 9, 21, 54, 149, 438, 1350, 4320, 14230, 47954, 164558, 573051, 2019865, 7191994, 25829119, 93449965, 340281196, 1246075455, 4585815748, 16951949226, 62915140454, 234344255750, 875733610574, 3282333723946, 12336075846135, 46479229966385, 175526926175706, 664288022487728 , 2519010933193514, 9569842096650666, 36418896606330968, 138818568967329863, 529935711080005818, 2025880223509959471, 7755020705324770354, 29723338094793336736, 114058384671831428480, 438171314555044017761, 1685085932362394478683, 6486909381085133858864, 24995932783935751291833, 96404273868842502372269, 372134377260836870706496, 1437680298381351756412411, 5558627096498485327398580, 21508008691492254095447138], 19152411518139807969559\ 1359432086261808260809133070346378455245389120593942037391150354963538523934957\ 6685153974486966873121928743571857253039968235021716674767307917829042714793433\ 4524425699628282216473401343814739541863122914241798798794147816643374250207895\ 9543476753385455112736768747978605621446980017557764924932233185821529116379829\ 6200359029749295708247772054251081610815171246003182137835729998762257446375025\ 1987165364875182087864795981745539055814750255697210638557429374854272412840224\ 8071725480022315021414825661977364564514121843654265953344878887256106701192481\ 67834152034823504266] ---------------------------- (A,B)= , {2, 3}, {1, 4} [P^2*x^9-3*P^2*x^7+4*P^2*x^6-2*P*x^7+5*P^2*x^5-4*P*x^6-10*P^2*x^4+2*P*x^5+4*P^2 *x^3+5*P*x^4+x^5+6*P^2*x^2-12*P*x^3+4*x^4-5*P^2*x-4*P*x^2+5*x^3+P^2+8*P*x-x^2-2 *P-3*x+1, ((x^3+x^2)*C+x^2+x-1)/((x^5-x^4+x^2)*C+x^4-x^3+2*x-1), {-4*n*(n-4)*a( n)+(66*n^2-378*n+300)*a(n-1)+(-434*n^2+3206*n-4500)*a(n-2)+(1414*n^2-12766*n+ 24588)*a(n-3)+(-2146*n^2+23314*n-56292)*a(n-4)+(274*n^2-6658*n+23004)*a(n-5)+( 3690*n^2-41772*n+120000)*a(n-6)+(-4407*n^2+56937*n-183690)*a(n-7)+(383*n^2-7523 *n+32934)*a(n-8)+(2784*n^2-37344*n+123744)*a(n-9)+(-2022*n^2+33894*n-150804)*a( n-10)+(104*n^2-9338*n+85260)*a(n-11)+(559*n^2-7375*n+22470)*a(n-12)+(-512*n^2+ 13694*n-93564)*a(n-13)+(253*n^2-8329*n+63330)*a(n-14)+(112*n^2-3322*n+24660)*a( n-15)-9*(n-14)*(17*n-243)*a(n-16)+(26*n^2-674*n+4380)*a(n-17)+20*(2*n-27)*(n-16 )*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 13, a(7 ) = 34, a(8) = 91, a(9) = 251, a(10) = 714, a(11) = 2092, a(12) = 6303, a(13) = 19493, a(14) = 61759, a(15) = 200027, a(16) = 660828, a(17) = 2222052, a(18) = 7589022}, [1, 1, 1, 2, 5, 13, 34, 91, 251, 714, 2092, 6303, 19493, 61759, 200027, 660828, 2222052, 7589022, 26275624, 92068121, 325983689, 1164769249, 4195153974, 15215895941, 55530099312, 203766878419, 751365150179, 2782639484770 , 10345686293569, 38600494542060, 144482329712979, 542376383781354, 2041468203861456, 7702740135783508, 29128954653536797, 110384331581574955, 419108923965565443, 1594132598242721159, 6073614664941450689, 23176495038582768903, 88569272803311910874, 338933328881948714050, 1298691388439495311474, 4982253793907905140445, 19135702173294837135992, 73575723820626127022556, 283185726300923903180832, 1091017940977867531158369, 4207217182095544549489715, 16238310430540740659036121], 13119371525170630625752\ 3395299677593143675646227788999751529895722132725970504437119995000467765972651\ 7058762246651469944706463583450083374364817763606360383945655329843463540982466\ 9407274729273565898326710478943963865488952227128741335263813525438410080549854\ 4682024049949019894437291276017409588042119866825106237605987974740169455648357\ 0726959166385525220873754035424895683702761961171740278977700422523949851921664\ 0573334772144244007573375644163622294002550047185468858102048725083560678081855\ 2366242008393220369566381936219358751573625689804115627170347139799882572167194\ 63799189143691600453] ---------------------------- (A,B)= , {2, 3}, {1, 5} [P^2*x^8-2*P^2*x^7-2*P^2*x^6+11*P^2*x^5-2*P*x^6-9*P^2*x^4-3*P*x^5-7*P^2*x^3+12* P*x^4+15*P^2*x^2-4*P*x^3+x^4-7*P^2*x-18*P*x^2+6*x^3+P^2+12*P*x+4*x^2-2*P-5*x+1, (-C*x^2-x^2-2*x+1)/((x^3-x^2)*C-x^4+x^3+x^2-3*x+1), {-5*n*(n-5)*a(n)+(101*n^2-\ 673*n+552)*a(n-1)+(-856*n^2+7094*n-10404)*a(n-2)+(3920*n^2-38734*n+78276)*a(n-3 )+(-10298*n^2+118084*n-297420)*a(n-4)+(14608*n^2-191954*n+573324)*a(n-5)+(-6829 *n^2+109715*n-390300)*a(n-6)+(-9509*n^2+125197*n-416772)*a(n-7)+(15275*n^2-\ 232237*n+875184)*a(n-8)+(-5804*n^2+95014*n-380400)*a(n-9)+(-3345*n^2+57273*n-\ 250740)*a(n-10)+(3600*n^2-65514*n+302784)*a(n-11)+(-748*n^2+15074*n-79152)*a(n-\ 12)+(-312*n^2+5712*n-24408)*a(n-13)+(168*n^2-3636*n+19536)*a(n-14)+(-34*n^2+884 *n-5760)*a(n-15)+4*(2*n-27)*(n-14)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a (4) = 2, a(5) = 5, a(6) = 14, a(7) = 40, a(8) = 117, a(9) = 348, a(10) = 1051, a(11) = 3217, a(12) = 9971, a(13) = 31276, a(14) = 99247, a(15) = 318530, a(16) = 1033766}, [1, 1, 1, 2, 5, 14, 40, 117, 348, 1051, 3217, 9971, 31276, 99247, 318530, 1033766, 3391918, 11249170, 37699012, 127624539, 436285742, 1505419640, 5240750989, 18397781346, 65095611452, 232020968847, 832660611002, 3007149145573 , 10923882213338, 39896375372790, 146431845706231, 539892728885672, 1998880161998758, 7428893344952898, 27706598187902197, 103666852400334709, 389028717437898337, 1463883599349032061, 5522331201922035969, 20880754233254895845, 79122977477745371735, 300416600154864797501, 1142743568641226554706, 4354333985956163417005, 16618527846507783710385, 63520756095386701629373, 243136226111708802521925, 931873391208203967238721, 3576045392787754689047572, 13739047320822116234489747], 95698970296481207270644\ 8496834846482818132711438458947216363487569410680284074276333773317554686346259\ 4316493066639765772647702292288791340386696889925753798142342268531373236413059\ 6517673198233415670337527144279003098931127144565281836270584645786059076398915\ 3202013924493093902382191431525059165983917290330205662899381542329880839459214\ 1203078626084077005064867251421692282746175824315103715298106388943122848907448\ 0294197849735496067790871368009324199842103565253013541489727648579492145041378\ 2919668153037751375596336876577193812492669410873646923757667335275876046090250\ 5895299371413214091] ---------------------------- (A,B)= , {2, 3}, {2, 3} [P^2*x^5-2*P*x^5+P^2*x^3+x^5-P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-x^2-2*P+1, (C*x^3-\ 1)/(C*x^3+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)+(-129*n^2+861*n-1140) *a(n-2)+(173*n^2-1419*n+2488)*a(n-3)-(7*n-11)*(n-16)*a(n-4)+(-128*n^2+1278*n-\ 3268)*a(n-5)+(48*n^2-234*n-336)*a(n-6)+(4*n^2-882*n+6092)*a(n-7)+(-20*n^2+804*n -5440)*a(n-8)+(11*n^2-57*n-272)*a(n-9)+2*(11*n-112)*(n-13)*a(n-10)-2*(7*n-64)*( n-11)*a(n-11)+12*(2*n-21)*(n-12)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4 ) = 2, a(5) = 4, a(6) = 8, a(7) = 18, a(8) = 45, a(9) = 122, a(10) = 354, a(11) = 1084, a(12) = 3458}, [1, 1, 1, 2, 4, 8, 18, 45, 122, 354, 1084, 3458, 11379, 38348, 131670, 458889, 1618872, 5769135, 20735878, 75078884, 273574534, 1002433018, 3691281207, 13652372422, 50693499962, 188904707823, 706214223856, 2647947813867, 9955284948941, 37521015246216, 141738728886746, 536563910351055, 2035201074293395, 7733694636843407, 29437940387316452, 112233005848500961, 428531883562050570, 1638534667812222057, 6273388130046401008, 24048604822003888486, 92297246294968796318, 354626435363335842458, 1363991102966831374763, 5251538613785139661020, 20238320779022837725116, 78064783120688319238391, 301376880397313514634004, 1164451568505634053256169, 4502704669354042720866647, 17424122849064922479420494], 15585109628037811966238\ 1215967799375065626816278611234854505754866745647372954555088060553366719157870\ 4173298236279303397491889932065810793395687209819170198399090964617024134598352\ 3976471353340339862229692800071313445480855582530439040256365443082620468624397\ 6908735396154078209066772859552756918922362847291481479759306451098729517809646\ 6267599572266741574604240122439819016247138374034798844418624513032310653912245\ 7496518876903185436575392407222710028032595529814466040562998702477610975440287\ 3572473346050824066065809995979196993532786864724448610323725565411944001468648\ 03382909245007099830] ---------------------------- (A,B)= , {2, 3}, {2, 4} [P^2*x^7-2*P*x^7-P^2*x^5-2*P*x^6+x^7+7*P^2*x^4+2*x^6-9*P^2*x^3-9*P*x^4+2*x^5+9* P^2*x^2+8*P*x^3+4*x^4-5*P^2*x-10*P*x^2-2*x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, ((x^4+x ^2)*C+x^3+x-1)/((x^4-x^3+x^2)*C+x^3-x^2+2*x-1), {-4*n*(n-4)*a(n)+(66*n^2-378*n+ 300)*a(n-1)+(-452*n^2+3314*n-4644)*a(n-2)+(1698*n^2-14964*n+28608)*a(n-3)+(-\ 3946*n^2+40120*n-94488)*a(n-4)+(6167*n^2-70295*n+192954)*a(n-5)+(-6929*n^2+ 87293*n-271038)*a(n-6)+(5672*n^2-79340*n+276516)*a(n-7)+(-3146*n^2+49604*n-\ 194556)*a(n-8)+(1026*n^2-19662*n+91656)*a(n-9)+(-108*n^2+6162*n-50184)*a(n-10)+ (59*n^2-5615*n+56166)*a(n-11)+(-230*n^2+8240*n-66828)*a(n-12)+(244*n^2-7528*n+ 56760)*a(n-13)-3*(n-14)*(17*n-243)*a(n-14)+2*(n-10)*(n-9)*a(n-15)+20*(2*n-27)*( n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 12, a(7) = 29, a(8) = 73, a(9) = 192, a(10) = 526, a(11) = 1498, a(12) = 4426, a(13 ) = 13529, a(14) = 42636, a(15) = 138016, a(16) = 457227}, [1, 1, 1, 2, 5, 12, 29, 73, 192, 526, 1498, 4426, 13529, 42636, 138016, 457227, 1544924, 5308200, 18498265, 65240584, 232450128, 835464067, 3025436257, 11027588277, 40425093583, 148938070149, 551187536315, 2047980374321, 7636777292564, 28569530488501, 107195430978137, 403290826865741, 1521010582928565, 5749535444642499, 21779339454006604, 82661132419459909, 314299138105948083, 1197062751292356715, 4566406615872851303, 17445076457528738765, 66737903522512876854, 255645373901888583950, 980474844019355316034, 3764768930687436748561, 14471589153705121506941, 55685871459744192713883, 214487281592775117336182, 826921700840294082678385, 3190903932078038482495298, 12323417755331246214844109 ], 1018648611135351547767228868021387063108691927748574331149715345346837546976\ 9877334119434369653542153676146468111965204125959930015262784510276027704877963\ 1947441523679577317947032956255732743482305218599381662851223932037992977420807\ 8433068404201082620499617438480693509289969930134004879660770698125416256821951\ 0732499893280256246483842381553795982430275890960398023422623373212213657545354\ 4939594822455521336199444732648265012746405819458459935025023898189026365877707\ 3893662295465270209515479733696707108684900189448134666218106911440537103802998\ 9787540857638218676107156374928748718080971990] ---------------------------- (A,B)= , {2, 3}, {2, 5} [P^2*x^6-4*P^2*x^5-2*P*x^6+11*P^2*x^4+5*P*x^5+x^6-18*P^2*x^3-10*P*x^4+17*P^2*x^ 2+14*P*x^3+5*x^4-7*P^2*x-22*P*x^2-x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, (-C*x^2-x^3-2 *x+1)/((x^3-x^2)*C-x^3+2*x^2-3*x+1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1 )+(-872*n^2+7210*n-10572)*a(n-2)+(4219*n^2-41411*n+83580)*a(n-3)+(-12639*n^2+ 142827*n-358356)*a(n-4)+(24599*n^2-312781*n+924024)*a(n-5)+(-32153*n^2+452011*n -1521012)*a(n-6)+(29356*n^2-451148*n+1695456)*a(n-7)+(-19608*n^2+327792*n-\ 1360524)*a(n-8)+(9764*n^2-176152*n+794664)*a(n-9)+(-3547*n^2+68063*n-325560)*a( n-10)+(836*n^2-16618*n+81000)*a(n-11)+(-92*n^2+1612*n-5952)*a(n-12)+(-18*n^2+ 540*n-3984)*a(n-13)+4*(2*n-27)*(n-14)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1 , a(4) = 2, a(5) = 5, a(6) = 13, a(7) = 35, a(8) = 97, a(9) = 275, a(10) = 795, a(11) = 2340, a(12) = 7007, a(13) = 21336, a(14) = 66041}, [1, 1, 1, 2, 5, 13, 35, 97, 275, 795, 2340, 7007, 21336, 66041, 207728, 663731, 2153257, 7088374, 23661127, 80022427, 273964776, 948607312, 3318826310, 11721773971, 41757381378, 149915662384, 542005726822, 1971976439917, 7215516334423, 26537257557809, 98050389812546, 363792363702652, 1354869326416041, 5063250326105267, 18980857722922083, 71357331195209287, 268963435460332924, 1016218853148221856, 3848030358163765674, 14600707421480592470, 55504511390149678403, 211369987424701594448, 806244334288970167195, 3080003742555785301073, 11782962834388720907423, 45137548753218051934264, 173127746806690126527235, 664827225954642963863540, 2555849422189437123614681, 9836021487520148977252572] , 71926234040347867797049227555053006438281526516387615369477660746321466285946\ 2378466384881253819165895473699969023409714007812180074807087544810039156483100\ 4388330271426994308135559626864657582440536215845177250910363394469042507473164\ 7515725951284018973140964305934653111658759067682908124243358269949594223594351\ 8866445904314291356634263194575694863835382659744239113008150363423229556536495\ 0652297236830125721494843332154683148929749606320895890327993234585101523690122\ 1379905890573760689475508632631234460153732708669577769325315044044311394991255\ 30137423976890823749083191600827302983537820] ---------------------------- (A,B)= , {2, 3}, {3, 4} [P^2*x^5-2*P*x^6+x^7+2*P^2*x^4-6*P*x^5+4*x^6+3*P^2*x^3-7*P*x^4+5*x^5-2*P^2*x^2+ 2*x^4-2*P^2*x+6*P*x^2-3*x^3+P^2+2*P*x-3*x^2-2*P+1, ((x^4+x^3)*C+x^3+x^2-1)/(C*x ^3+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)-2*(79*n-142)*(n-6)*a(n-2 )+(100*n^2-1048*n+1848)*a(n-3)+(403*n^2-4045*n+9918)*a(n-4)+(-440*n^2+5174*n-\ 14172)*a(n-5)+(-445*n^2+6187*n-21978)*a(n-6)+(350*n^2-6044*n+25320)*a(n-7)+(364 *n^2-6028*n+25632)*a(n-8)+(-60*n^2+2328*n-17088)*a(n-9)+(-96*n^2+2220*n-13008)* a(n-10)+(48*n^2-1452*n+10488)*a(n-11)+(58*n^2-1498*n+9684)*a(n-12)+12*(2*n-25)* (n-14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 17, a(8) = 38, a(9) = 90, a(10) = 227, a(11) = 610, a(12) = 1740, a(13) = 5231}, [1, 1, 1, 2, 4, 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412, 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487 , 12352509949332, 46481454639292, 175332289038462, 662855505694621, 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881], 468409878358053056802953857622151445980615859084756\ 0332588218060892316349727346673290935497344191184887046105128976739245029209325\ 8957098876719166899959885394254454074759600117253088188563023993413432854057668\ 9103400598219209382297984224291844498539175056681453834620371880115643762887231\ 8656165167733959651446086873639728700285952719521485345585480513945567574304009\ 8997189553261639572787177834160546650997957423026669833812167881638070806574696\ 2319003137952801961172470074636215452402306320624670747035938899812720511070765\ 5473837944570991203207312617661846193052878372376369912293942104239910] ---------------------------- (A,B)= , {2, 3}, {3, 5} [P^2*x^5-2*P^2*x^4+P*x^5+x^6-P^2*x^3-2*P*x^4+2*x^5+7*P^2*x^2-4*P*x^3+4*x^4-5*P^ 2*x-6*P*x^2+2*x^3+P^2+8*P*x-2*P-3*x+1, (-C*x^2-x^3-x^2-x+1)/((x^3-x^2)*C-2*x+1) , {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-558*n^2+4680*n-6828)*a(n-2)+( 1938*n^2-19320*n+38772)*a(n-3)+(-3622*n^2+41672*n-103788)*a(n-4)+(3241*n^2-\ 42395*n+124212)*a(n-5)+(-444*n^2+7818*n-28332)*a(n-6)+(-1185*n^2+15675*n-48360) *a(n-7)+(503*n^2-5671*n+9972)*a(n-8)+(60*n^2-1764*n+11364)*a(n-9)+(-24*n^2+306* n-600)*a(n-10)-3*(n-11)*(11*n-124)*a(n-11)+2*(n-12)*(2*n-25)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 51, a( 9) = 128, a(10) = 332, a(11) = 890, a(12) = 2467}, [1, 1, 1, 2, 4, 9, 21, 51, 128, 332, 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893 , 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794], 306679469566240334367148\ 4777113292042887572261123698166688311117565853502080141229961447995887370912605\ 9060464412778905033502472843352890197379660708567085519003331858373649974017027\ 6878803804394932936877846444701013478209448766365778447466727614031124079379399\ 8017566229379442319489102385022660113589581205443104963380179049611048050350227\ 9946264698496276660460795676764446611029565236455527428462848676689782408754658\ 0776376843160823889844207534936440582693983525585787081538641834036562014660944\ 3711995399425384417643311563273346478989690689445329076104745819030209228449660\ 527708313868202742] ---------------------------- (A,B)= , {2, 3}, {4, 5} [x^9-2*P*x^7+4*x^8+P^2*x^5-6*P*x^6+10*x^7+2*P^2*x^4-15*P*x^5+15*x^6+6*P^2*x^3-\ 14*P*x^4+16*x^5+P^2*x^2-8*P*x^3+8*x^4-4*P^2*x+4*P*x^2+P^2+6*P*x-4*x^2-2*P-2*x+1 , ((x^5+x^4+x^3)*C+x^4+2*x^3+2*x^2+x-1)/(C*x^3+x^2+2*x-1), {-5*n*(n-5)*a(n)+(74 *n^2-502*n+408)*a(n-1)+(-405*n^2+3453*n-5016)*a(n-2)+(916*n^2-9428*n+18744)*a(n -3)+(-317*n^2+4249*n-9552)*a(n-4)+(-1643*n^2+21019*n-63912)*a(n-5)+(1009*n^2-\ 14141*n+43632)*a(n-6)+(1624*n^2-28052*n+119136)*a(n-7)+(134*n^2-2410*n+15360)*a (n-8)+(-995*n^2+21799*n-117864)*a(n-9)+(-932*n^2+21868*n-130104)*a(n-10)+(-218* n^2+4606*n-23664)*a(n-11)+(88*n^2-3056*n+25488)*a(n-12)+(58*n^2-1730*n+12912)*a (n-13)+12*(2*n-29)*(n-16)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 13, a(7) = 34, a(8) = 90, a(9) = 241, a(10) = 653, a(11) = 1792, a(12) = 4987, a(13) = 14095, a(14) = 40524}, [1, 1, 1, 2, 5, 13, 34, 90, 241, 653, 1792, 4987, 14095, 40524, 118704, 354752, 1082769, 3376969, 10761563, 35018901, 116226782, 392839812, 1349763755, 4705693851, 16615763502, 59320991641, 213807939654, 776937598146, 2843138895879, 10467416747986, 38739912037692, 144033067963714, 537658194855348, 2014130218590035, 7568959247550506, 28523938056607085, 107767298248890123, 408099645698663151, 1548671737904672034, 5888310723215650335, 22428200241118864331, 85568291610046011852, 326960463062885016212, 1251112928797451595706, 4793762162991167716893, 18390735203605190395379, 70636930452546966380131, 271609657219882324575403, 1045472129155656754180415, 4028182163710258038445860] , 30698948417181416059756407208160028546760126894426679112873749029009892233152\ 0519858698154958278823220264458519747795717501342360392836033267882156136252156\ 9227865063829378334659784529183208111002676402829257904110124965275743590017787\ 3880862740179594530138437329417210998444532967020746849120339086566987749123640\ 3417467352029780309261451875004537992353807240856226173144230694695245656334532\ 9269886925006898809519328638213799372680176679633785141776923872551311875710500\ 8168866163923057046323675150007257330920363461314773824552769159686904905668266\ 57181158222067470015452455964991889261991607] ---------------------------- (A,B)= , {2, 3}, {1, 2, 3} [P^2*x^7+P^2*x^4-P^2*x^3+P^2*x^2+P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^4+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)+(-133*n^2+879*n-1160)*a(n-2)+(219*n^2 -1719*n+2976)*a(n-3)+(-186*n^2+1584*n-3168)*a(n-4)+(148*n^2-1236*n+2456)*a(n-5) +(-123*n^2+1137*n-2544)*a(n-6)+(42*n^2-492*n+1368)*a(n-7)+(23*n^2-69*n-200)*a(n -8)+(-70*n^2+504*n-632)*a(n-9)+20*(n-4)*(2*n-13)*a(n-10)-(n-8)*(n-7)*a(n-11)+2* (n-8)*(2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a (6) = 8, a(7) = 17, a(8) = 41, a(9) = 110, a(10) = 319, a(11) = 979, a(12) = 3134}, [1, 1, 1, 2, 4, 8, 17, 41, 110, 319, 979, 3134, 10352, 35009, 120566, 421243, 1489158, 5316091, 19135412, 69369966, 253041234, 928049957, 3420135181, 12658522935, 47032870341, 175362731199, 655921223495, 2460505169287, 9254437327432, 34892860914844, 131856760841117, 499315511805554, 1894479540277572, 7200938049544672, 27417030843833831, 104553098106315774, 399296861429393083, 1527068902935649198, 5847763191099882964, 22421105148907369959, 86065822534793310761, 330737679965006352898, 1272303697984896366646, 4899242178805735036933, 18883244039791749234179, 72847394067510997521449, 281269540675987528769747, 1086889742915911973992570, 4203261211580838734403485, 16267111234689430519742372], 14613439148373881757376\ 5226181140492296036553719723087550598886424665832715292462645029981078370971236\ 1433315052032265100114120242439376896732950294695492829237170207727643759503783\ 0712985663794452741986048668580543424877239248692680207762224698818717554170881\ 5708438598084110039322000181990073922782445698468876252240734964432841857930772\ 4830177753887258030775619629616927653500987913580686610555784582698939729855673\ 1377423275419461851136292973970366001248472698447805090450805896306056427168859\ 2104463431811728416770601629714498904758406936639210844550840234310492453799494\ 79847278454814926880] ---------------------------- (A,B)= , {2, 3}, {1, 2, 4} [P^2*x^9+2*P^2*x^8-2*P^2*x^7-2*P^2*x^6+8*P^2*x^5-2*P*x^6-3*P^2*x^4-4*P*x^5-6*P^ 2*x^3+5*P*x^4+9*P^2*x^2+2*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/((x^5-x^3+x^2)*C+x^4-x^2+2*x-1), {-4*n*(n-4)*a(n)+(66*n^2-378*n+300 )*a(n-1)+(-452*n^2+3314*n-4644)*a(n-2)+(1683*n^2-14877*n+28482)*a(n-3)+(-3723*n ^2+38409*n-91194)*a(n-4)+(4852*n^2-57982*n+164016)*a(n-5)+(-2941*n^2+43837*n-\ 152382)*a(n-6)+(-1116*n^2+4482*n+17856)*a(n-7)+(3400*n^2-41572*n+121704)*a(n-8) +(-2075*n^2+33029*n-129702)*a(n-9)+(-194*n^2-3442*n+41556)*a(n-10)+(752*n^2-\ 8786*n+17868)*a(n-11)+(-223*n^2+5143*n-27822)*a(n-12)+(-2280*n+23520)*a(n-13)+( -11*n^2+581*n-5166)*a(n-14)+(-34*n^2+994*n-7020)*a(n-15)+10*(n-13)*(5*n-66)*a(n -16)+12*(2*n-25)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a( 5) = 5, a(6) = 12, a(7) = 28, a(8) = 67, a(9) = 169, a(10) = 451, a(11) = 1267, a(12) = 3725, a(13) = 11397, a(14) = 36086, a(15) = 117600, a(16) = 392511, a( 17) = 1336105}, [1, 1, 1, 2, 5, 12, 28, 67, 169, 451, 1267, 3725, 11397, 36086, 117600, 392511, 1336105, 4622421, 16208037, 57472853, 205733208, 742418451, 2697799890, 9862664522, 36247767721, 133846094789, 496302540917, 1847214815481, 6898585409610, 25842741856988, 97081304274182, 365635896746875, 1380348124935455, 5222470233301441, 19798887051901865, 75200477127044481, 286127449352421468, 1090453881375700522, 4162158129600960423, 15909343525229951870, 60893511047320469550, 233367732100834369999, 895427663963093140485, 3439628897280887415503, 13226892499204340370127, 50914918071931669443709, 196178293236496180022595, 756580044756661434938620, 2920368753425302170156394, 11281883076182182346996219], 94235170981290882908417\ 0715973372493350100345584058257080470365168018738240433977994481743669766847732\ 9834072906368562112807652195123848635495970357455097959168640798219184345255459\ 0574588776265154844767635016199671565490409404748985637762767262595155147238160\ 3710625134392413268273434650689029595846582640022749673177620878347677772204874\ 0141343722801567417703481328522868437677907913715583079897778476991441941550933\ 4332735034056285918300091600329313694583032364010495398653900686953888955434701\ 8859702617515240707777983038834013515624950078533802898335096893209027112116485\ 6059601266475250917] ---------------------------- (A,B)= , {2, 3}, {1, 2, 5} [P^2*x^8-5*P^2*x^6+8*P^2*x^5+2*P^2*x^4-5*P*x^5-16*P^2*x^3+4*P*x^4+17*P^2*x^2+10 *P*x^3-7*P^2*x-22*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^3-x^ 2)*C-x^4+2*x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+(872*n^2-\ 7210*n+10572)*a(n-2)+(-4205*n^2+41305*n-83388)*a(n-3)+(12391*n^2-140507*n+ 353052)*a(n-4)+(-22776*n^2+292662*n-869112)*a(n-5)+(24920*n^2-360790*n+1234500) *a(n-6)+(-12459*n^2+213339*n-858756)*a(n-7)+(-4197*n^2+39207*n-55440)*a(n-8)+( 10034*n^2-154162*n+581496)*a(n-9)+(-5061*n^2+88251*n-377316)*a(n-10)+(-212*n^2+ 982*n+4152)*a(n-11)+(1129*n^2-20639*n+95748)*a(n-12)+(-280*n^2+5762*n-29928)*a( n-13)+(-53*n^2+1147*n-6180)*a(n-14)+10*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 1, a (2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 13, a(7) = 34, a(8) = 91, a(9) = 250, a(10) = 704, a(11) = 2028, a(12) = 5969, a(13) = 17937, a(14) = 54998, a( 15) = 171951}, [1, 1, 1, 2, 5, 13, 34, 91, 250, 704, 2028, 5969, 17937, 54998, 171951, 547746, 1776073, 5855706, 19607308, 66593683, 229125390, 797623453, 2806024409, 9964902056, 35686398100, 128760825395, 467694693181, 1708937277990, 6277692965830, 23170950324437, 85890964677810, 319615444878164, 1193506373643599, 4470937920360766, 16796817663471024, 63270654685719421, 238907566110138414, 904119960050519382, 3428598204078748491, 13026732431082073963, 49581972616189084093, 189029108522574850891, 721776333329070021436, 2759959991716522473428, 10567939662285889208381, 40516321696582652338094, 155521251806358835355023, 597640746471201616093047, 2299082311376444103505043, 8853358248278026928894923], 659352378636380313813041\ 2161760066350440954377441012888412552698738081355434571454700550949360700619161\ 3460586057208279007133393445699211635159298156448098310861585498029029907498906\ 2866393338435051616913398727708563780096590819183658436227574486668720527633939\ 3219144661586680477866007266388340475399378435285093088976956176736734216547568\ 9953284860525926069752700626510123676948713648058624789689155482492347470978470\ 7015763957551595635993521970861712431427347385162193882971866645733729489873028\ 2963652420296279363029157054437110257264290600309108796722478537357928241612523\ 606481216938683689] ---------------------------- (A,B)= , {2, 3}, {1, 3, 4} [P^2*x^9-P^2*x^7+4*P^2*x^6-2*P*x^7-2*P*x^6-4*P^2*x^4+2*P*x^5+6*P^2*x^3-P*x^4+x^ 5-2*P^2*x^2-6*P*x^3+2*x^4-2*P^2*x+6*P*x^2+P^2+2*P*x-3*x^2-2*P+1, (C*x^3+x^2-1)/ ((x^5-x^4+x^3)*C+x^4-x^3+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)-2* (79*n-142)*(n-6)*a(n-2)+(85*n^2-961*n+1722)*a(n-3)+(574*n^2-5386*n+12564)*a(n-4 )+(-1070*n^2+11246*n-28932)*a(n-5)+(194*n^2-950*n-1764)*a(n-6)+(1173*n^2-16305* n+57162)*a(n-7)+(-1405*n^2+19015*n-65154)*a(n-8)+(470*n^2-8108*n+37968)*a(n-9)+ (424*n^2-3610*n-3408)*a(n-10)+(-522*n^2+8364*n-36576)*a(n-11)+(319*n^2-8479*n+ 58086)*a(n-12)+(-90*n^2+4410*n-37836)*a(n-13)+(-45*n^2+657*n-2082)*a(n-14)+(162 *n^2-4770*n+34860)*a(n-15)+(-59*n^2+1631*n-11310)*a(n-16)+2*(n-10)*(n-9)*a(n-17 )+20*(2*n-27)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 16, a(8) = 34, a(9) = 78, a(10) = 194, a(11) = 521, a(12) = 1498, a(13) = 4558, a(14) = 14500, a(15) = 47722, a(16) = 161160, a(17) = 555084, a(18) = 1941507}, [1, 1, 1, 2, 4, 8, 16, 34, 78, 194, 521, 1498, 4558, 14500, 47722, 161160, 555084, 1941507, 6874622, 24587276, 88674874, 322085910, 1177061424, 4324599052, 15963907267, 59177225188, 220193426207, 822109325658, 3078891181932, 11563285750484, 43539971571938, 164333233716979, 621604291474326 , 2356046372820594, 8946895682040764, 34034832889725374, 129684242239691288, 494900220215636316, 1891357905232265975, 7237989502752479624, 27734232979905832505, 106398888699238980978, 408650542567268654150, 1571211930860261099372, 6047291022622137907058, 23297426513648022802083, 89837001726915186911178, 346723684594197705684980, 1339290655972750304980844, 5177410299490391382750789], 444173399063395286450168126444016566507130313895297\ 3237990347883047531888732615879064625336741575499660221597813799183915153046496\ 2943824420315699643071161352190588517964956724973586307851961131671607879437100\ 4880936514377761688524441919181803948906538693080444323604343231576457871018210\ 2291700068206503159809304774101457831778882312964622326805798891740565471369113\ 0266322412079759609943518549578065461918112594211738125798777767989273612540966\ 9556851751742534801375631338595755355524642334714205447740652599012896806935422\ 2040279570535522828346064564635611819026545259225982777394561299434543] ---------------------------- (A,B)= , {2, 3}, {1, 3, 5} [P^2*x^8-2*P^2*x^7+7*P^2*x^5-2*P*x^6-9*P^2*x^4-P*x^5+P^2*x^3+8*P*x^4+7*P^2*x^2-\ 8*P*x^3+x^4-5*P^2*x-6*P*x^2+4*x^3+P^2+8*P*x-2*P-3*x+1, (-C*x^2-x^2-x+1)/((x^3-x ^2)*C-x^4+x^3-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-558*n^2+4680 *n-6828)*a(n-2)+(1924*n^2-19214*n+38580)*a(n-3)+(-3410*n^2+39676*n-99204)*a(n-4 )+(1976*n^2-28330*n+85620)*a(n-5)+(3315*n^2-39849*n+121908)*a(n-6)+(-6835*n^2+ 95339*n-328596)*a(n-7)+(3757*n^2-55523*n+200016)*a(n-8)+(1668*n^2-28482*n+ 125112)*a(n-9)+(-3185*n^2+55237*n-242820)*a(n-10)+(1326*n^2-24468*n+116280)*a(n -11)+(166*n^2-2396*n+5424)*a(n-12)+(-340*n^2+6416*n-29208)*a(n-13)+(118*n^2-\ 2606*n+14376)*a(n-14)+(-26*n^2+688*n-4560)*a(n-15)+4*(2*n-27)*(n-14)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 20, a(8) = 47, a(9) = 114, a(10) = 289, a(11) = 762, a(12) = 2094, a(13) = 5987, a(14) = 17779, a(15) = 54663, a(16) = 173364}, [1, 1, 1, 2, 4, 9, 20, 47, 114, 289, 762 , 2094, 5987, 17779, 54663, 173364, 564875, 1883513, 6403916, 22132069, 77544163, 274839125, 983641923, 3549747872, 12901845099, 47183136191, 173486048064, 640924199168, 2377835641725, 8855154668456, 33089154385549, 124025376077370, 466176711744187, 1756716055028122, 6635484802646320, 25117940469464632, 95271973959848987, 362037397254540820, 1378138670932928886, 5254525040726808919, 20064572042507003351, 76725791653497067917, 293785819907582106751, 1126327029385391767796, 4323262263568387424575, 16612837695041640655120, 63905066941486277844091, 246071955634635699529970, 948423409270500495325879, 3658771958820120716233194], 2896248127109999806170183\ 7900744886783557515491399493189020284607685273449253774273981777889824796679977\ 7685839431761975421340225663798081198063624856954591976514193626566627554158336\ 6721245289431511481499720327287694136730884816568499557283286232481550230356671\ 3010016605137379822586635118572127519709542161252483113990202265743430379247750\ 5926690196056863592444086216946990981867602474809199992437366526413895681248366\ 5152712943532949174305429287549599442967949167494533359610944281952464379259716\ 4180293657956642975068528086784558481883982234289850908593322227805584267392774\ 93115980265779327] ---------------------------- (A,B)= , {2, 3}, {1, 4, 5} [P^2*x^11-P^2*x^8-2*P*x^9+3*P^2*x^7-4*P*x^8+6*P^2*x^6-4*P*x^7-7*P^2*x^5+x^7-P^2 *x^4+3*P*x^5+4*x^6+8*P^2*x^3-12*P*x^4+8*x^5+P^2*x^2-12*P*x^3+9*x^4-4*P^2*x+4*P* x^2+2*x^3+P^2+6*P*x-4*x^2-2*P-2*x+1, ((x^4+x^3)*C+x^3+2*x^2+x-1)/((x^6-x^5+x^3) *C+x^5-x^3+x^2+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-405*n^2+ 3453*n-5016)*a(n-2)+(902*n^2-9322*n+18552)*a(n-3)+(-141*n^2+2541*n-5544)*a(n-4) +(-2375*n^2+29815*n-89448)*a(n-5)+(1779*n^2-26913*n+91620)*a(n-6)+(3581*n^2-\ 50203*n+181344)*a(n-7)+(-3888*n^2+57546*n-211812)*a(n-8)+(-2076*n^2+37578*n-\ 173976)*a(n-9)+(3455*n^2-57169*n+237036)*a(n-10)+(106*n^2-1166*n-5412)*a(n-11)+ (-1782*n^2+38748*n-218976)*a(n-12)+(253*n^2-13703*n+131220)*a(n-13)+(557*n^2-\ 15673*n+126780)*a(n-14)+(-226*n^2+11144*n-107136)*a(n-15)+(-226*n^2+6386*n-\ 53088)*a(n-16)+(331*n^2-13841*n+133356)*a(n-17)+(134*n^2-4876*n+44256)*a(n-18)+ (-78*n^2+2658*n-22752)*a(n-19)+(8*n^2-220*n+1536)*a(n-20)+(50*n^2-1654*n+13656) *a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2 , a(5) = 5, a(6) = 13, a(7) = 33, a(8) = 84, a(9) = 216, a(10) = 564, a(11) = 1498, a(12) = 4055, a(13) = 11210, a(14) = 31716, a(15) = 92005, a(16) = 274008 , a(17) = 838203, a(18) = 2632669, a(19) = 8479315, a(20) = 27951363, a(21) = 94079357, a(22) = 322499460}, [1, 1, 1, 2, 5, 13, 33, 84, 216, 564, 1498, 4055, 11210, 31716, 92005, 274008, 838203, 2632669, 8479315, 27951363, 94079357, 322499460, 1123097075, 3964151427, 14152547631, 51015832417, 185404306012, 678499283504, 2497812755796, 9242664925100, 34353601616600, 128188239427347, 479987252063164, 1802829945974823, 6790280154930317, 25639757528994869, 97036648552980556, 368018268050155194, 1398433770476350527, 5323408135189273439 , 20298173645862379271, 77516448568936510065, 296453244447829287753, 1135283387587329094180, 4353136696063756539170, 16711593625316858566920, 64227571208305533227013, 247107716809157230190143, 951672807983032957824693, 3668621673503221180452874], 283860371487189565960805502774023307340699554141362\ 3677896010736616185466786390846822666657615503520245584014038977832289116677730\ 2658972990712746148927882375307438428139870745487546894603170346451610164759314\ 8456689685522241598455646022097375104909717071717883669916683845299098776276441\ 1603010271301441124786799644084852265739229820762172579551651256740523184200358\ 4307095532403600469099631018695034212683042271543978944485742685111531997242956\ 0873992421060337965256306248325325296204134599731837730944051172803701528193107\ 7335754961700409948644294261429045836107946862249454121547682176934642] ---------------------------- (A,B)= , {2, 3}, {2, 3, 4} [P^2*x^7+2*P^2*x^6-2*P*x^7-4*P*x^6+x^7+3*P^2*x^4+2*x^6-3*P^2*x^3-3*P*x^4+P^2*x^ 2+6*P*x^3-2*P^2*x-3*x^3+P^2+2*P*x-2*P+1, (C*x^4+x^3-1)/(C*x^4+x^3+x-1), {-4*n*( n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-176*n^2+1340*n-1848)*a(n-2)+(304*n^2-2674* n+4872)*a(n-3)+(-369*n^2+3435*n-7434)*a(n-4)+(599*n^2-6191*n+15990)*a(n-5)+(-\ 667*n^2+7897*n-23730)*a(n-6)+(403*n^2-4921*n+14838)*a(n-7)+(-406*n^2+5092*n-\ 14376)*a(n-8)+(232*n^2-4168*n+18036)*a(n-9)+(-4*n^2+598*n-6180)*a(n-10)+(7*n^2+ 473*n-5562)*a(n-11)+(17*n^2+517*n-8598)*a(n-12)+2*(31*n-408)*(n-22)*a(n-13)+9*( 3*n-41)*(n-14)*a(n-14)+2*(53*n-722)*(n-15)*a(n-15)+20*(2*n-27)*(n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 7, a(7) = 13, a(8) = 27, a(9) = 61, a(10) = 150, a(11) = 403, a(12) = 1169, a(13) = 3599, a(14) = 11583, a(15) = 38512, a(16) = 131156}, [1, 1, 1, 2, 4, 7, 13, 27, 61, 150, 403, 1169, 3599, 11583, 38512, 131156, 454808, 1599406, 5688009, 20415648, 73846144, 268886415, 984707531, 3624429705, 13400417688, 49743616734, 185320438006, 692673217903, 2596721440785, 9761212961994, 36784690629965, 138940976231430, 525918303654136, 1994637613858311, 7578926166859712, 28846663593991367, 109971293234561821, 419870252303286763, 1605325688219597732, 6145925314433550567, 23558867713766553985, 90413708492115390228, 347375421686049671367, 1336051622010117627803, 5143788865316981719561, 19822432663526460089890, 76458271313870619630230, 295166414614522725772103, 1140425444350935745380041, 4409690365449923031935746], 381876933327821392207910\ 6479200513476039758435240753563778589392997854380477207056543893323117257781752\ 9625648288271537171696596779573446400641445768118453320627178574052134743849705\ 6563638197122984507476481224793468058085910638027415481052941934119309776054359\ 2044677427295146405276081723995694293839920854486314387154914073706266600679752\ 7926550711848697875884549227895205612716377820099670111856005326989387205754768\ 2597274457471669404602542208064489977089478117782196979805830514652942395878557\ 1946592720562808062401745236565707416312592604607933587991194088412570805342068\ 014172135295645804] ---------------------------- (A,B)= , {2, 3}, {2, 3, 5} [P^2*x^6-2*P^2*x^5-2*P*x^6+5*P^2*x^4+3*P*x^5+x^6-8*P^2*x^3-6*P*x^4+9*P^2*x^2+6* P*x^3+3*x^4-5*P^2*x-10*P*x^2-x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x^3-x+1)/(( x^3-x^2)*C-x^3+x^2-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-574*n^2 +4796*n-6996)*a(n-2)+(2181*n^2-21525*n+43164)*a(n-3)+(-5097*n^2+57549*n-143196) *a(n-4)+(7863*n^2-99321*n+290736)*a(n-5)+(-8565*n^2+119271*n-398652)*a(n-6)+( 7078*n^2-107822*n+404496)*a(n-7)+(-4660*n^2+76856*n-317004)*a(n-8)+(2454*n^2-\ 42918*n+187896)*a(n-9)+(-983*n^2+18019*n-81504)*a(n-10)+(264*n^2-4950*n+22200)* a(n-11)+(-46*n^2+782*n-2712)*a(n-12)+(-10*n^2+296*n-2160)*a(n-13)+4*(2*n-27)*(n -14)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a (7) = 17, a(8) = 38, a(9) = 89, a(10) = 219, a(11) = 567, a(12) = 1544, a(13) = 4412, a(14) = 13175}, [1, 1, 1, 2, 4, 8, 17, 38, 89, 219, 567, 1544, 4412, 13175, 40895, 131187, 432527, 1458529, 5009761, 17469380, 61680972, 220057420, 791993908, 2871753329, 10480068162, 38460237997, 141839334507, 525382803249, 1953652695248, 7290224263389, 27290499622454, 102455358790677, 385658305170166, 1455196046735031, 5503114871839705, 20854076863065012, 79177883573982942, 301154590971969940, 1147349907439867799, 4378005978574823154, 16729718569582741970, 64016865421544748520, 245278093895870010409, 940913807360149602413, 3613586556042047775593, 13893057411465211566526, 53469150646260879508642, 205983329173927766868693, 794260845290712153275047, 3065328560898692481830317], 246278246990334719173689719966306141580537214123792\ 4322739820187783339139045478135114208891507270093012383538532336518505892752632\ 2646836830307370646212433856109777100588871925185318578557448117008378266235357\ 4131535637245836358366838184050410458854115651140080265693012614119418991877392\ 6316942374066748807822607795984430027221088521670752019202953629898711484115630\ 7506274820669336802585882463985393080761277717346647013678582752386167212314312\ 7182739947356071301742604739840155484248094589717099683368874133158316977297710\ 1885764736430146572600387792930933891050039030364837227915184648719698] ---------------------------- (A,B)= , {2, 3}, {2, 4, 5} [P^2*x^9-2*P*x^9+2*P^2*x^7-2*P*x^8+x^9-P^2*x^6-6*P*x^7+2*x^8+7*P^2*x^5-2*P*x^6+ 5*x^7-5*P^2*x^4-11*P*x^5+5*x^6+3*P^2*x^3+2*P*x^4+7*x^5+3*P^2*x^2-6*P*x^3+x^4-4* P^2*x+x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^5+x^3)*C+x^4+x^3+x^2+x-1)/((x^5-x^4+x^ 3)*C+x^4+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-421*n^2+3569*n-\ 5184)*a(n-2)+(1117*n^2-11291*n+22488)*a(n-3)+(-1168*n^2+13892*n-34056)*a(n-4)+( -595*n^2+6005*n-16944)*a(n-5)+(2684*n^2-33262*n+100992)*a(n-6)+(-2857*n^2+35519 *n-106704)*a(n-7)+(1356*n^2-15054*n+35712)*a(n-8)+(594*n^2-16248*n+96552)*a(n-9 )+(-1102*n^2+28202*n-173064)*a(n-10)+(607*n^2-16307*n+105000)*a(n-11)+(-271*n^2 +8453*n-63504)*a(n-12)+(-118*n^2+3686*n-23304)*a(n-13)+(309*n^2-12345*n+111888) *a(n-14)+(-290*n^2+10618*n-95280)*a(n-15)+(446*n^2-16198*n+145152)*a(n-16)+(-67 *n^2+2291*n-19632)*a(n-17)+2*(n-17)*(83*n-1452)*a(n-18)+(10*n^2-314*n+2496)*a(n -19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a( 5) = 5, a(6) = 12, a(7) = 28, a(8) = 66, a(9) = 159, a(10) = 392, a(11) = 991, a(12) = 2578, a(13) = 6927, a(14) = 19283, a(15) = 55705, a(16) = 166985, a(17) = 518492, a(18) = 1662273, a(19) = 5480484, a(20) = 18503509}, [1, 1, 1, 2, 5, 12, 28, 66, 159, 392, 991, 2578, 6927, 19283, 55705, 166985, 518492, 1662273, 5480484, 18503509, 63718736, 223011204, 790954619, 2835991097, 10260388179, 37400884905, 137199412924, 506029762484, 1875154202017, 6977205499563, 26055772771267, 97619207128360, 366804568941668, 1381922606450304, 5218925433394038, 19753302033418076, 74917583780185664, 284673331154398165, 1083602555460027997, 4131437809015219080, 15775881336805265954, 60326094855564155586, 230992554825743161644, 885599743907887615576, 3399322242929641920805, 13062727737828666354054, 50249972024967362089840, 193496909634884697036076, 745806640390834650399707, 2877212257918334551660089], 2283290577412123198791178142075776604218132967640563620728675857393715723969901\ 2731414631806741557524066480818039201103906513222575871374801397546692217229396\ 3358190152714930112200299112644922795794842211194826640647236479103321842233280\ 3842776460185557467973394679396887090373766164700784543460488928930162818898086\ 0173340560688565561322051241396988831922791792754222323014967682602007187078334\ 2477048471651628595772695826835816074313717906700824197174466434054620230437593\ 6206595613434757548105491287573670160628443379343773571622480728611992695877859\ 826421989878986731783296576032364935443177] ---------------------------- (A,B)= , {2, 3}, {3, 4, 5} [P^2*x^7-2*P*x^8+x^9+2*P^2*x^6-6*P*x^7+4*x^8+3*P^2*x^5-10*P*x^6+8*x^7+4*P^2*x^4 -11*P*x^5+9*x^6-P^2*x^3-4*P*x^4+5*x^5-P^2*x^2+6*P*x^3-2*x^4-2*P^2*x+4*P*x^2-5*x ^3+P^2+2*P*x-2*x^2-2*P+1, ((x^5+x^4)*C+x^4+2*x^3+x^2-1)/(C*x^4+x^3+x^2+x-1), {-\ 5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-203*n^2+1771*n-2520)*a(n-2)+(217*n^2-\ 2219*n+4056)*a(n-3)+(54*n^2-918*n+3144)*a(n-4)+(287*n^2-3073*n+9096)*a(n-5)+(-\ 730*n^2+10508*n-37248)*a(n-6)+(-357*n^2+5313*n-20880)*a(n-7)+(145*n^2-3659*n+ 21000)*a(n-8)+(812*n^2-16192*n+80472)*a(n-9)+(437*n^2-7087*n+26952)*a(n-10)+(-\ 163*n^2+6839*n-58320)*a(n-11)+(-214*n^2+6566*n-48624)*a(n-12)+(-5*n^2-707*n+ 10200)*a(n-13)+(244*n^2-8228*n+68376)*a(n-14)+(221*n^2-7045*n+56184)*a(n-15)+( 130*n^2-4190*n+33720)*a(n-16)+20*(2*n-31)*(n-18)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 16, a(8) = 33, a(9) = 70, a( 10) = 154, a(11) = 355, a(12) = 866, a(13) = 2251, a(14) = 6245, a(15) = 18414, a(16) = 57213, a(17) = 185405}, [1, 1, 1, 2, 4, 8, 16, 33, 70, 154, 355, 866, 2251, 6245, 18414, 57213, 185405, 620629, 2129017, 7439673, 26367505, 94489799, 341625588, 1244174774, 4559060423, 16793971554, 62147298893, 230913270440, 861080917988, 3221443510012, 12087494204050, 45476623926282, 171517584430018, 648354248106943, 2455977538768902, 9321340465911779, 35441752116509282, 134983876626973003, 514909491556427422, 1967067133445470167, 7525021790792224809, 28824459171118788381, 110547017150291455062, 424458971535679006492, 1631548699699498919233, 6277908484546161213133, 24180064675135846380835, 93219365568695176660551, 359700693295280978180857, 1389135191429884881412863], 114537835577877230891006755533504835609168531286524\ 6844429414299682139139920614889859941157975999546645168597777317146957400316388\ 5426613362884949925574181887596404784301406582210123979299746915725199375403042\ 1427733720236438320988692319073064972739269869596318478939434936009183981857014\ 3547180733035007697789367211757034148633397399152220331952746582959568082655222\ 0965296361187163129364139939696773945661472485055856346851062009636023567241089\ 7928717695121321582285203276411856613974143041882912739999039522687282190762499\ 1509636221851358065213549032979738560493821461887587725838024404873596] ---------------------------- (A,B)= , {2, 3}, {1, 2, 3, 4} [P^2*x^9+2*P^2*x^8+3*P^2*x^5-3*P^2*x^4+3*P*x^4+P^2*x^2-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^5+x^4+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-176*n^2+1340*n-\ 1848)*a(n-2)+(289*n^2-2587*n+4746)*a(n-3)+(-198*n^2+2094*n-4788)*a(n-4)+(-70*n^ 2+166*n+780)*a(n-5)+(423*n^2-3627*n+6714)*a(n-6)+(-489*n^2+5043*n-12114)*a(n-7) +(172*n^2-2146*n+6300)*a(n-8)+(79*n^2-625*n+1230)*a(n-9)+(-204*n^2+2382*n-7236) *a(n-10)+(50*n^2-1172*n+5712)*a(n-11)+28*(n-4)*(2*n-15)*a(n-12)-6*(n-10)*(n-9)* a(n-13)+3*(n-10)*(7*n-75)*a(n-14)+6*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 7, a(7) = 12, a(8) = 23, a(9) = 51, a (10) = 127, a(11) = 347, a(12) = 1024, a(13) = 3205, a(14) = 10458, a(15) = 35136}, [1, 1, 1, 2, 4, 7, 12, 23, 51, 127, 347, 1024, 3205, 10458, 35136, 120573, 420440, 1484661, 5296535, 19057170, 69067642, 251891446, 923708842, 3403795051, 12597071643, 46801696905, 174492260264, 652639285025, 2448113094432 , 9207574330543, 34715361019753, 131183408400306, 496757231021103, 1884745453536148, 7163847751993694, 27275510460989494, 104012410649421994, 397228542655887221, 1519147385411085801, 5817389629022752678, 22304516261189728035, 85617829365859748038, 329014549344844541645, 1265669652915966163591, 4873677878328320986946, 18784646165196622807894, 72466799000592844910080, 279799242425144326947647, 1081205403696778164334571, 4181268783731272071213948], 363967761879502184286114852942712224405842115880576\ 4447384779534912221600615488876331890849868436136029900823705788661572140611549\ 5651016443991332114571282289771018123689751212094946460231358688599395739821598\ 2569250483701985945290371105784648122190398412991948415635344439855965255540186\ 3713606293837971722282851011654536637616163477860108171179196075123316110290051\ 7369537989323962104562778092174277679136500158985380767260862335899669983891073\ 7482766835797489020547893041621764770046786484897980015291153083396245643850726\ 9511617603700775049654348419350038884479332223177641932493853580043314] ---------------------------- (A,B)= , {2, 3}, {1, 2, 3, 5} [P^2*x^8-3*P^2*x^6+6*P^2*x^5-2*P^2*x^4-3*P*x^5-6*P^2*x^3+4*P*x^4+9*P^2*x^2+2*P* x^3-5*P^2*x-10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^3-x^2)*C-x ^4+x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(574*n^2-4796*n+6996) *a(n-2)+(-2167*n^2+21419*n-42972)*a(n-3)+(4885*n^2-55553*n+138612)*a(n-4)+(-\ 6568*n^2+84962*n-251424)*a(n-5)+(4392*n^2-66726*n+234012)*a(n-6)+(759*n^2-1455* n-23724)*a(n-7)+(-4223*n^2+57793*n-193176)*a(n-8)+(3432*n^2-53196*n+202032)*a(n -9)+(-739*n^2+13073*n-54156)*a(n-10)+(-690*n^2+11496*n-49920)*a(n-11)+(521*n^2-\ 9667*n+45540)*a(n-12)+(-56*n^2+1234*n-6888)*a(n-13)+(-51*n^2+1101*n-5916)*a(n-\ 14)+6*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 16, a(8) = 34, a(9) = 77, a(10) = 186, a(11) = 478, a(12) = 1304, a(13) = 3757, a(14) = 11351, a(15) = 35683}, [1, 1, 1, 2, 4, 8, 16, 34, 77, 186, 478, 1304, 3757, 11351, 35683, 115858, 386082, 1313684, 4545783, 15947058, 56580500, 202658445, 731726888, 2660274747, 9729775522, 35773248015, 132138874702, 490118574590, 1824678605098, 6816009258410, 25538692556152, 95956867528076, 361461043712716, 1364792047260155, 5164317491208591, 19580851283990040, 74380759603181054, 283037978709864486, 1078783022374314542, 4117976120146590347, 15741754669462943960, 60256653947707100034, 230943454892678065715, 886184566928703690289, 3404334656951200369014, 13091933624290595578442, 50398175669187422895402, 194197273971157714140399, 748976520306269439624208, 2891152465752761394231534], 2339512135020852545788400\ 1894314116725546938049708716886578664250774450162288064262014169475717300363680\ 5804953875687406488648022420061761732506356851857410035552944768196377814714453\ 1164488842392181119078826715906776405316377969897060317760241182333816742456751\ 7585216756866727254833926645940057059908998271870405477269816210141193851702398\ 4375738068547556788960637265349633022728679927187967112926844648742960059455302\ 8962114227948688885160309702078771631728787050625218787007552651572600397873240\ 3587391279026116532690669300809417969019933330799195760052640137699637186812862\ 89647092337393990] ---------------------------- (A,B)= , {2, 3}, {1, 2, 4, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-P^2*x^8-P^2*x^7-2*P*x^8+7*P^2*x^6-4*P*x^7+P^2*x^5-\ 4*P*x^6-8*P^2*x^4+3*P*x^5+5*P^2*x^3+4*P*x^4+x^5+3*P^2*x^2-10*P*x^3+2*x^4-4*P^2* x+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/((x^6-x^4+x^3)*C+x^5+x^4-x^3 +2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-421*n^2+3569*n-5184)*a(n-\ 2)+(1103*n^2-11185*n+22296)*a(n-3)+(-992*n^2+12184*n-30048)*a(n-4)+(-1357*n^2+ 15095*n-43200)*a(n-5)+(3772*n^2-49988*n+161292)*a(n-6)+(-1839*n^2+28209*n-\ 102456)*a(n-7)+(-2893*n^2+41117*n-148068)*a(n-8)+(3734*n^2-60748*n+248652)*a(n-\ 9)+(5*n^2+4019*n-37296)*a(n-10)+(-2037*n^2+37893*n-182244)*a(n-11)+(663*n^2-\ 18933*n+128748)*a(n-12)+(498*n^2-8718*n+40956)*a(n-13)+(-238*n^2+11396*n-102300 )*a(n-14)+(-74*n^2-1286*n+27324)*a(n-15)+(141*n^2-6891*n+66864)*a(n-16)+(-20*n^ 2+1174*n-12276)*a(n-17)+(-28*n^2+986*n-8472)*a(n-18)+(83*n^2-2635*n+20952)*a(n-\ 19)+2*(53*n-828)*(n-17)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 12, a(7) = 27, a(8) = 60, a(9) = 136, a(10) = 319, a(11) = 778, a(12) = 1979, a(13) = 5267, a(14) = 14696, a(15) = 42966, a(16) = 131198, a(17) = 416240, a(18) = 1363810, a(19) = 4587699, a(20) = 15762046, a(21) = 55074951}, [1, 1, 1, 2, 5, 12, 27, 60, 136, 319, 778, 1979, 5267, 14696, 42966, 131198, 416240, 1363810, 4587699, 15762046, 55074951, 195056354, 698406180, 2523151415, 9183640433, 33637468473, 123874153224, 458333085052, 1702863110661, 6350042891930, 23757834075510, 89152136590987, 335454539410217, 1265352260942386, 4783847226510371, 18124015750129531, 68797888582806787, 261624998890860311, 996582321120353594, 3802146145885490620, 14527228071913372239, 55582206305389656658, 212937545400505406206, 816769768865065175202, 3136521847468360585863, 12057881175454918980006, 46402637850797625648560, 178747614456780989064807, 689195512294210403713256, 2659680666968643837887405], 213375509848987377200642867875023968504786912629479\ 0849815516618771212342614789306696766398766010794034964811196740959517462227456\ 2494396388490515198201757379012837200137275640849770452243726632350143410377161\ 5343289234603235491831977133261903868050754961072761100260242374108724819646470\ 7673953030359431744004517068441592204363748013716163637938371580433989325537707\ 9845662560745133416280121285928681834559776669800122201211918053111911818049840\ 3420140858255453811238092912829615335103593448862564336920897993669570039020820\ 6341525373409617034685288702814053552405192614907825823765034939439681] ---------------------------- (A,B)= , {2, 3}, {1, 3, 4, 5} [P^2*x^11+2*P^2*x^9-P^2*x^8-2*P*x^9+4*P^2*x^7-2*P*x^8+2*P^2*x^6-4*P*x^7-3*P^2*x ^5+x^7+3*P^2*x^4-P*x^5+2*x^6+P^2*x^3-6*P*x^4+3*x^5-P^2*x^2+2*P*x^3+x^4-2*P^2*x+ 4*P*x^2-3*x^3+P^2+2*P*x-2*x^2-2*P+1, (C*x^4+x^3+x^2-1)/((x^6-x^5+x^4)*C+x^5+x^2 +x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-203*n^2+1771*n-2520)*a(n-2)+ (203*n^2-2113*n+3864)*a(n-3)+(194*n^2-2302*n+6432)*a(n-4)+(-97*n^2+1727*n-5160) *a(n-5)+(-776*n^2+9748*n-31716)*a(n-6)+(649*n^2-7769*n+22656)*a(n-7)+(280*n^2-\ 4736*n+20556)*a(n-8)+(-530*n^2+3826*n+4812)*a(n-9)+(30*n^2+3810*n-35124)*a(n-10 )+(439*n^2-10109*n+54540)*a(n-11)+(-30*n^2+3960*n-43056)*a(n-12)+(-169*n^2+2657 *n-11304)*a(n-13)+(179*n^2-3295*n+16812)*a(n-14)+(47*n^2-2533*n+30672)*a(n-15)+ (67*n^2-155*n-11880)*a(n-16)+(n^2-1511*n+22164)*a(n-17)+(274*n^2-9680*n+85176)* a(n-18)+(-61*n^2+2117*n-18384)*a(n-19)+(142*n^2-4994*n+43800)*a(n-20)+(10*n^2-\ 314*n+2496)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 15, a(8) = 29, a(9) = 58, a(10) = 123, a(11) = 278, a(12) = 678, a(13) = 1790, a(14) = 5096, a(15) = 15466, a(16) = 49351, a(17) = 163466, a(18) = 556435, a(19) = 1932486, a(20) = 6813438, a(21) = 24304422, a(22) = 87509231}, [1, 1, 1, 2, 4, 8, 15, 29, 58, 123, 278, 678, 1790, 5096, 15466, 49351, 163466, 556435, 1932486, 6813438, 24304422, 87509231, 317506343, 1159463234, 4257682774, 15710685649, 58220774191, 216581793074, 808463701221, 3027281576085, 11367843652102, 42798823238303, 161518680700283, 610900670243381, 2315284113736980, 8791451244955623, 33441277176066694, 127414923504085373, 486213517065397210, 1858067599823832918, 7110268533167145830, 27243701052489456370, 104513013906878088540, 401393165280434225754, 1543257573091071721487, 5939519270091353717717, 22881583385821259816186, 88231141649477446651944, 340517499282724539967919, 1315287589895381822832778], 109147021112700131015116268111924114052590071527580\ 5447256898343248330655285983504049605839298294937009368201840206538068771532083\ 7502463605129786875901750422595040924220473545348385272608008251510024128368051\ 3926848065448744178784245871996636512015636001752551698816022986132429683400207\ 8942813030492491778021664411802249236876042232387397657774953810864028795236859\ 0055389880263998056049961887305504449687042774419243032904993839436986100402700\ 9639595312787214949564152214767153851849710129940935660254390703644398465871517\ 7382210022605877299969179276783509540942577770892407851845630142200102] ---------------------------- (A,B)= , {2, 3}, {2, 3, 4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9+3*P^2*x^7-4*P*x^8+x^9+P^2*x^6-6*P*x^7+2*x^8+3*P^2*x^ 5-2*P*x^6+3*x^7-P^2*x^4-3*P*x^5+x^6-2*P^2*x^3+4*P*x^4+P^2*x^2+4*P*x^3-3*x^4-2*P ^2*x-2*x^3+P^2+2*P*x-2*P+1, (C*x^5+x^4+x^3-1)/(C*x^5+x^4+x^3+x-1), {-5*n*(n-5)* a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(376*n^2-3716*n+ 7080)*a(n-3)+(-395*n^2+4303*n-10176)*a(n-4)+(387*n^2-5115*n+15720)*a(n-5)+(n^2+ 1351*n-8136)*a(n-6)+(-399*n^2+4587*n-13080)*a(n-7)+(196*n^2-1928*n+3288)*a(n-8) +(-393*n^2+4713*n-10080)*a(n-9)+(106*n^2-1970*n+7776)*a(n-10)+(200*n^2-5080*n+ 30624)*a(n-11)+(106*n^2+166*n-18360)*a(n-12)+(70*n^2-134*n-8592)*a(n-13)+(34*n^ 2+1198*n-23064)*a(n-14)+(70*n^2-2054*n+15624)*a(n-15)+(246*n^2-8778*n+77640)*a( n-16)+2*(121*n-2004)*(n-17)*a(n-17)+12*(25*n-416)*(n-18)*a(n-18)+18*(9*n-148)*( n-19)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4 ) = 2, a(5) = 4, a(6) = 7, a(7) = 12, a(8) = 22, a(9) = 43, a(10) = 89, a(11) = 199, a(12) = 489, a(13) = 1320, a(14) = 3863, a(15) = 12038, a(16) = 39267, a( 17) = 132287, a(18) = 455991, a(19) = 1598304, a(20) = 5673784}, [1, 1, 1, 2, 4 , 7, 12, 22, 43, 89, 199, 489, 1320, 3863, 12038, 39267, 132287, 455991, 1598304, 5673784, 20343821, 73542839, 267686519, 980091989, 3606898678, 13334197236, 49493987022, 184379650062, 689125267473, 2583325926409, 9710567591713, 36592927789344, 138213786605009, 523156545574172, 1984133380196938, 7538916560120257, 28694060698099858, 109388471251595904, 417641512049967120, 1596792538485238659, 6113216689830823539, 23433352696715628057, 89931551969803402988, 345521382792048530766, 1328915395848314747805, 5116296069670066605395, 19716421328792832107694, 76049149789044080843533, 293586246005214886433473, 1134317558393308450869438], 9510105989472249291755465035948840814710029259585929327009878703881496019151103\ 9533270125456049576445841992203235435830305086481644289362765576475514268657333\ 3002183454396956011686645350120182744566772409939637662941785090570500858698325\ 3607866569664344066343737468683744044060171897085444249719431099561505668013864\ 5753942272383197255399393508620220312117395625897912781514501593746817079805345\ 0313674988779668561006247207943713141594488490363362933886390633451218052035298\ 5296158304137508812664278127825482510500041741484097646011381527699788275555835\ 49732494299831519052626947979909257938663] ---------------------------- (A,B)= , {2, 3}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+P^2*x^8+3*P^2*x^6-P^2*x^5-2*P^2*x^4+3*P*x^5+2*P* x^4+P^2*x^2-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^6+x^5+x^4+x-1), {-5*n*(n-5)*a(n)+4 *(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(362*n^2-3610*n+6888)*a(n -3)+(-255*n^2+2919*n-6888)*a(n-4)+(-27*n^2-21*n+744)*a(n-5)+(225*n^2-2811*n+ 8124)*a(n-6)+(76*n^2+394*n-5760)*a(n-7)+(-448*n^2+4658*n-10020)*a(n-8)+(278*n^2 -3628*n+11256)*a(n-9)+(-23*n^2+871*n-4704)*a(n-10)+(-282*n^2+3624*n-11892)*a(n-\ 11)+(70*n^2-1730*n+8892)*a(n-12)+(51*n^2-1353*n+7512)*a(n-13)+(65*n^2-799*n+ 2148)*a(n-14)+(56*n^2-1264*n+7092)*a(n-15)+2*(34*n-383)*(n-12)*a(n-16)+(45*n^2-\ 1035*n+5964)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 7, a(7) = 11, a(8) = 18, a(9) = 33, a(10) = 68, a (11) = 155, a(12) = 392, a(13) = 1096, a(14) = 3321, a(15) = 10645, a(16) = 35431, a(17) = 121006, a(18) = 420941}, [1, 1, 1, 2, 4, 7, 11, 18, 33, 68, 155, 392, 1096, 3321, 10645, 35431, 121006, 420941, 1484656, 5293329, 19039705, 68992798, 251594724, 922568737, 3399472801, 12580777133, 46740386694, 174261603514, 651770854206, 2444839389851, 9195215513209, 34668631592832, 131006441379045, 496085991811250, 1882195512516042, 7154146452051795, 27238548681410483, 103871392902494227, 396689817691532592, 1517086719343721236, 5809497925573961967, 22274258775000252484, 85501692196287312613, 328568313570837965059, 1263953358327727056087, 4867070423151288213854, 18759185293763386609416, 72368603481785986731548, 279420212819419477968688, 1079741197398159350769037], 910095672970157270920812316768370591498793345346769\ 3428082000290523326253006555852854447265801610295575077285393343734533382585966\ 5566174827136184213021304352654447536387707869621652849307627870414166461055238\ 2699231931828729527977501601023812873948849316460777628344934063934772798217075\ 5103704125797361796702978567617050111210970951182897471873835369818284488310962\ 5670948368785072631322848176510566540475099788972285772938863071407349489394252\ 9678188972635485724927468061610782543027830680029021011077133992535552191432549\ 362424661086994896019237831291854644242883750272564481349871919270947] ---------------------------- (A,B)= , {2, 4}, {} [P^2*x^3+2*P^2*x^2-2*P*x^3-3*P^2*x-P*x^2+x^3+P^2+4*P*x-2*P-x+1, (-C*x-x^2+1)/(( x^2-x)*C-x^2-x+1), {-n*(n-2)*a(n)+(13*n^2-50*n+36)*a(n-1)+(-62*n^2+340*n-420)*a (n-2)+(134*n^2-937*n+1566)*a(n-3)+(-130*n^2+1145*n-2466)*a(n-4)+(39*n^2-528*n+ 1656)*a(n-5)+(3*n^2+75*n-570)*a(n-6)+(3*n^2-60*n+276)*a(n-7)+2*(n-8)*(2*n-15)*a (n-8) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 22, a(7) = 58, a(8) = 163}, [1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547 , 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902, 23270147619699743008876442, 90093831591035950206998211], 82357463909330804674313115368562740897283051795794\ 4237550974624840788328349756578147875485355977686202305160933895834533672743815\ 5196363894430195515444556423287922490411765317109186012765328426039643336604286\ 1270492104227734088812128878359627984193174725382391018847746836173880541332079\ 8972986645123239969367421547007810421537137853822312894845637282612124195156089\ 5707635690970474740004302573499588506007411419224026939664440417936239506584737\ 1793189102574067212476704733263511681807501662953508855042919241503178521407326\ 841887707228176235698861560239121322675026376190683886301318521270485232] ---------------------------- (A,B)= , {2, 4}, {1} [P^2*x^5+P^2*x^3-2*P^2*x+P*x^2+P^2+2*P*x-2*P+1, (-C*x+1)/((x^2-x)*C-x^3-x+1), { -2*n*(n-2)*a(n)+(23*n-22)*(n-3)*a(n-1)+(-88*n^2+500*n-624)*a(n-2)+(121*n^2-881* n+1482)*a(n-3)+(-23*n^2+301*n-774)*a(n-4)+(-60*n^2+438*n-804)*a(n-5)+(42*n^2-\ 300*n+564)*a(n-6)+(-46*n^2+284*n-336)*a(n-7)+(23*n^2-217*n+498)*a(n-8)+2*(n-6)* (2*n-13)*a(n-9) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 18, a(7) = 45, a(8) = 122, a(9) = 354}, [1, 1, 2, 4, 8, 18, 45, 122, 354, 1084, 3458, 11379, 38348, 131670, 458889, 1618872, 5769135, 20735878, 75078884, 273574534, 1002433018, 3691281207, 13652372422, 50693499962, 188904707823, 706214223856, 2647947813867, 9955284948941, 37521015246216, 141738728886746, 536563910351055, 2035201074293395, 7733694636843407, 29437940387316452, 112233005848500961, 428531883562050570, 1638534667812222057, 6273388130046401008, 24048604822003888486, 92297246294968796318, 354626435363335842458, 1363991102966831374763, 5251538613785139661020, 20238320779022837725116, 78064783120688319238391, 301376880397313514634004, 1164451568505634053256169, 4502704669354042720866647, 17424122849064922479420494, 67474503103694569472775918], 6224665859314201016979\ 5611041655457621908455055117649788079965957376928522312898082707351871413527039\ 2345849751636768423640301690609329314437761172735218900320346713725582457855052\ 0994706739911177644252059926720565504589557234628983056200347172675628327750140\ 6294958576571853593255569353933367964741353121765502732194288089898438181900118\ 4147131155564307214749367022595688937324497663359057586551190443127563753017646\ 4011411093243940205749536686426091126573671437728262678039426623651804201751489\ 1340432116148420242672134574181271727609776306346643687990287171249859757642772\ 031036959149732655837] ---------------------------- (A,B)= , {2, 4}, {2} [4*P^2*x^3-P^2*x^2-4*P*x^3-4*P^2*x+5*P*x^2+x^3+2*P^2+4*P*x-2*x^2-4*P+2, (-C*x-x ^2+x+1)/((x^2-x)*C-2*x^2+1), {-8*n*(n-2)*a(n)+4*(23*n-22)*(n-3)*a(n-1)+(-348*n^ 2+1992*n-2496)*a(n-2)+(436*n^2-3320*n+5736)*a(n-3)+(88*n^2+172*n-1800)*a(n-4)+( -445*n^2+2975*n-4086)*a(n-5)+6*(18*n+7)*(n-6)*a(n-6)+(16*n^2-128*n+144)*a(n-7)+ 32*(n-8)*(2*n-15)*a(n-8) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 6, a(6) = 12, a(7) = 28, a(8) = 71}, [1, 1, 2, 3, 6, 12, 28, 71, 198, 590, 1852, 6034, 20212, 69130, 240304, 846199, 3011510, 10812934, 39118060, 142441962, 521636436, 1919889328, 7097773160, 26345351622, 98141092988, 366789122292, 1374910161496, 5167905898888, 19473365170016, 73547638424486, 278370123511384, 1055688444220663, 4010959924394198, 15265341843489414, 58191819199258700, 222162454677595266, 849362156342706436, 3251564649079343736, 12463384659905076904, 47829229493975283986, 183753953413247769652, 706708438118660927684, 2720698915094241226632, 10484203438240266444812, 40437554413742553627192, 156102552318959433853876, 603105534764807958175744, 2331946163900234562650902, 9023404346311540931705084, 34940957583639106671598876], 32160110009676138583778702080153449104532634212744\ 9735696432111579343820532633622640094965267254609383088840923859233877442616189\ 9294061874696004744401630602884815452041023393363846450693420846404502846323362\ 1404108405005630619007021199113935145073187144181277998126678106794999056872229\ 3770686398415110024974764719609754200311556427610866799327339596480790222496201\ 9335223647550703063078525120531895374838922107094910995865804288086856638327528\ 2379082082103412982649426483294504887017132802576091118511425584732941355601584\ 639314282676894348160435846846527153085179536619593010466885722239745696] ---------------------------- (A,B)= , {2, 4}, {3} [P^2*x^4-2*P*x^5+x^6-4*P^2*x^3+4*P*x^4+8*P^2*x^2-3*P*x^3-x^4-5*P^2*x-8*P*x^2+4* x^3+P^2+8*P*x+x^2-2*P-3*x+1, ((x^3+x^2)*C-x^3+x-1)/(C*x^2-x^2+2*x-1), {-3*n*(n-\ 3)*a(n)+(49*n^2-231*n+176)*a(n-1)+(-326*n^2+2058*n-2728)*a(n-2)+(1144*n^2-8940* n+16088)*a(n-3)+(-2290*n^2+21162*n-46952)*a(n-4)+(2639*n^2-27945*n+72616)*a(n-5 )+(-1732*n^2+20652*n-61688)*a(n-6)+(770*n^2-11106*n+41824)*a(n-7)+(-463*n^2+ 8901*n-43640)*a(n-8)+(314*n^2-6738*n+36112)*a(n-9)+(-126*n^2+2754*n-15024)*a(n-\ 10)+12*(2*n-21)*(n-12)*a(n-11) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5 ) = 9, a(6) = 22, a(7) = 57, a(8) = 155, a(9) = 440, a(10) = 1298, a(11) = 3962 }, [1, 1, 2, 4, 9, 22, 57, 155, 440, 1298, 3962, 12461, 40223, 132773, 446749, 1528004, 5299797, 18603616, 65979816, 236099006, 851415959, 3091242095, 11290562201, 41456559495, 152938119308, 566591690929, 2107048789610, 7862710485679, 29432537157375, 110489958441106, 415866839015640, 1569029917443533, 5932984388350962, 22480646501920304, 85344246272779225, 324573031861542206, 1236436921157050594, 4717440731631842682, 18024941664983499519, 68966155510489869801, 264215374562573415351, 1013463817444256975141, 3891861142827649332972, 14961617559600486764155, 57576757142233591776232, 221789255900134849083907, 855140310663465160594027, 3300033036718577583727692, 12745740818820720511699360, 49267540498641881072013785], 42148877847648397280255464012493469692639972503766\ 9685658679298624818326397171970764435618656762172505189743313594932357979181991\ 6396314173427223990341328465446708379289044306885580487579600628746559748797769\ 4342984229163365785379729599896246026742311537621090662561421606522060433658189\ 6277040305663956577763360693382118347022980691689739592971670016275168752339196\ 7179263611386388640603457438250983876964838533410146452887896743749945069855683\ 3848622823258291554502652714111191535035412470819332369062594010938900659067784\ 405745045851704827641294818046099235215745370630829086039821542425995437] ---------------------------- (A,B)= , {2, 4}, {4} [P^2*x^5-2*P^2*x^4-P^2*x^3+3*P*x^4+7*P^2*x^2-6*P*x^3+x^4-5*P^2*x-6*P*x^2+4*x^3+ P^2+8*P*x-2*P-3*x+1, (-C*x^2-x^2-x+1)/((x^3-x^2)*C-2*x+1), {-4*n*(n-4)*a(n)+(66 *n^2-378*n+300)*a(n-1)+(-440*n^2+3242*n-4548)*a(n-2)+(1511*n^2-13505*n+25914)*a (n-3)+(-2777*n^2+29039*n-68862)*a(n-4)+(2386*n^2-28522*n+78504)*a(n-5)+(-108*n^ 2+1740*n-2700)*a(n-6)+(-1227*n^2+17217*n-62334)*a(n-7)+(614*n^2-8798*n+31848)*a (n-8)+(48*n^2-1110*n+5868)*a(n-9)-9*(n-9)*(11*n-102)*a(n-10)+6*(n-10)*(2*n-21)* a(n-11) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 21, a(7) = 51, a(8) = 128, a(9) = 332, a(10) = 890, a(11) = 2467}, [1, 1, 2, 4, 9, 21, 51, 128, 332, 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893 , 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794, 15089579257931496563545286], 12248653325369132664223334809422170867677404255378\ 2025092110362649680370655540327243865839339192915284579092607436998126759764329\ 6612680884236902943698236067245552731535257861558892557757970647500617318181040\ 2752016984495687628823550242646461551051639841775001235116210843015296793922599\ 0607241515927821613684578650517354233179293359500040397810437958069274322095779\ 1008478127949256088923576248692824805178483435239246511885424674277095970547790\ 1284424911534915755290104877228465226764319270525983416767441689870179452431123\ 498049437560337525184020285060217486381666539848211143427426297974977923] ---------------------------- (A,B)= , {2, 4}, {5} [P^2*x^7+4*P^2*x^6-2*P*x^7+3*P^2*x^5-6*P*x^6+x^7-10*P^2*x^4+3*P*x^5+2*x^6-6*P^2 *x^3+22*P*x^4-5*x^5+15*P^2*x^2-8*P*x^3-6*x^4-7*P^2*x-18*P*x^2+9*x^3+P^2+12*P*x+ 4*x^2-2*P-5*x+1, ((x^4-x^2)*C+x^3-x^2-2*x+1)/((x^4+x^3-x^2)*C+x^3+x^2-3*x+1), { -5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+(-856*n^2+7094*n-10404)*a(n-2)+(3911 *n^2-38653*n+78084)*a(n-3)+(-10158*n^2+116496*n-292812)*a(n-4)+(13786*n^2-\ 180422*n+532968)*a(n-5)+(-4741*n^2+72089*n-229056)*a(n-6)+(-10654*n^2+169304*n-\ 687492)*a(n-7)+(10592*n^2-193960*n+883080)*a(n-8)+(2060*n^2-25222*n+58116)*a(n-\ 9)+(-4470*n^2+89946*n-452016)*a(n-10)+(-369*n^2-627*n+52488)*a(n-11)+(530*n^2-\ 10246*n+44520)*a(n-12)+(38*n^2+1262*n-22680)*a(n-13)+(108*n^2-3156*n+23136)*a(n -14)+(106*n^2-3194*n+24048)*a(n-15)+12*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a (2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 22, a(7) = 57, a(8) = 154, a(9) = 429, a(10) = 1224, a(11) = 3563, a(12) = 10559, a(13) = 31819, a(14) = 97436, a (15) = 303071, a(16) = 957243}, [1, 1, 2, 4, 9, 22, 57, 154, 429, 1224, 3563, 10559, 31819, 97436, 303071, 957243, 3069075, 9984422, 32941754, 110156492, 373079812, 1278724450, 4431688443, 15516802818, 54840480177, 195480007389, 702198168336, 2540097497458, 9246498530244, 33850900140822, 124562017355961, 460474583592852, 1709371196700818, 6369506596558392, 23815609325123664, 89324289694554085, 335977752850265854, 1267008137385093982, 4789422151612403024 , 18144252231148972798, 68876940378596572617, 261952165825673090239, 997987334615151752363, 3808294605533813927184, 14554302536542119648365, 55701274128799764144116, 213458431913236298970108, 819032455039626187559624, 3146276070601256239493551, 12099615047608436225004151], 86587874419844602719534\ 3913552536783723027893537350237545763562086496181007717704971645028844366379699\ 3407142859584603354980628959353224812408348378294228606400112342094892666067522\ 0859706392775308991534407108653374543011733179564103477348920561916411247126359\ 8329039182558534061601393101028356210669197631536931738306102661115808538358622\ 4911664872303226799613219764796146203152428349056523404351204035954620335828757\ 9267909602367195920586217893716455436172974052144780228713365700176987448061448\ 2494602108963874271353524990744266005493487836314483085452045310868112885497349\ 5367603451386433317] ---------------------------- (A,B)= , {2, 4}, {1, 2} [P^2*x^5+2*P^2*x^4-P^2*x^2+2*P*x^3-3*P^2*x+3*P*x^2+2*P^2+2*P*x-4*P+x+2, (-C*x+x +1)/((x^2-x)*C-x^3-x^2+1), {8*n*(n-2)*a(n)+(-86*n^2+346*n-252)*a(n-1)+(287*n^2-\ 1663*n+2082)*a(n-2)+(-273*n^2+1989*n-3246)*a(n-3)+(-58*n^2+482*n-1068)*a(n-4)+( 20*n^2-802*n+3276)*a(n-5)+(137*n^2-883*n+858)*a(n-6)+(42*n^2-102*n-444)*a(n-7)+ (-56*n^2+640*n-1848)*a(n-8)+(-2*n^2-20*n+240)*a(n-9)+4*(n-8)*(2*n-15)*a(n-10) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 10, a(7) = 22, a(8) = 55, a(9) = 153, a(10) = 459}, [1, 1, 2, 3, 5, 10, 22, 55, 153, 459, 1453, 4774, 16105, 55402, 193479, 683869, 2441271, 8787809, 31860004, 116225697, 426304692, 1571193037, 5815748203, 21610196634, 80580033332, 301420609757, 1130771660242, 4253322925232, 16037661622396, 60608218727789, 229523652812941, 870891988153637, 3310428736598066, 12604780069048385, 48069589148218874, 183589185148413951, 702144718640920861, 2688894423551891480, 10309941208395781330, 39577137206957965529, 152093668496923061822, 585101790430979123782, 2253108652613004543924, 8684441062142789588593, 33503548638372506589885, 129363134466493389854781, 499900876267596190515319, 1933280813284815725466674, 7482190244658164477096649, 28978197743439498378443332], 26873652732273096523629465648710887819423157068578\ 5390891816363375742731431652599203046979909960829947684861594382086104004075311\ 3666882367493445742382711148325878570452191634109274616236862885578036548102873\ 8392427255756644368062781048698153731153074359323293935505752687119018039077205\ 6046888178587765478391002903198876977769079236462925639487720068882966800777465\ 9015909379896600268267654039575033844265476682896973710299779155204213972945919\ 8960911223064847086054695191063256824501045297716420832579569158493953115247029\ 793776885666138645208546789126248420782115818682418100540466493762333093] ---------------------------- (A,B)= , {2, 4}, {1, 3} [P^2*x^8-4*P^2*x^7+9*P^2*x^6-14*P^2*x^5-2*P*x^6+18*P^2*x^4+6*P*x^5-16*P^2*x^3-\ 12*P*x^4+11*P^2*x^2+15*P*x^3+x^4-5*P^2*x-14*P*x^2-2*x^3+P^2+8*P*x+4*x^2-2*P-3*x +1, (C*x^2-x^2+x-1)/((x^4-x^3+x^2)*C-x^4+2*x^3-2*x^2+2*x-1), {-3*n*(n-3)*a(n)+( 49*n^2-231*n+176)*a(n-1)+(-338*n^2+2112*n-2788)*a(n-2)+(1327*n^2-10083*n+17876) *a(n-3)+(-3410*n^2+29844*n-63868)*a(n-4)+(6247*n^2-60345*n+145424)*a(n-5)+(-\ 8557*n^2+87765*n-223844)*a(n-6)+(8819*n^2-91539*n+226084)*a(n-7)+(-6515*n^2+ 60801*n-102208)*a(n-8)+(2724*n^2-7272*n-113304)*a(n-9)+(718*n^2-42108*n+312332) *a(n-10)+(-2534*n^2+65970*n-398536)*a(n-11)+(2624*n^2-61302*n+353572)*a(n-12)+( -1760*n^2+40560*n-233440)*a(n-13)+(829*n^2-19545*n+115004)*a(n-14)+(-254*n^2+ 6210*n-37744)*a(n-15)+20*(2*n-23)*(n-14)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 18, a(7) = 44, a(8) = 114, a(9) = 313, a(10) = 906, a(11) = 2742, a(12) = 8612, a(13) = 27886, a(14) = 92572, a(15) = 313615, a(16) = 1080327}, [1, 1, 2, 4, 8, 18, 44, 114, 313, 906, 2742, 8612, 27886, 92572, 313615, 1080327, 3773175, 13331220, 47562922, 171114168, 620050303, 2260942554, 8289802917, 30543429036, 113026839282, 419896518552, 1565435023157, 5854883109797, 21961861385630, 82600151986849, 311429328567662, 1176853394512387, 4456521509380936, 16908887185664760, 64271861235101936, 244715196853615878, 933227971208606742, 3564169280965660532, 13631185575131309062, 52200913472130810639, 200151680404595026005, 768329072144254664282, 2952669430321254391199, 11358912115482256775461, 43741105910127051471332, 168597989656213075731972, 650436220931378295501099, 2511471430698242057916486, 9705228414792452126518423, 37533688391256567922919190], 32751854377824075679140674435878152197630737633203\ 6146822937964325945793446430767213002481357682820949924438770657876061439048213\ 8150180284842844139076882028690872002554651850348600227146783556739107598920791\ 1594448353816217639152760388715522766854055608297621553469202308243246876450703\ 7984599976470123410890253642024743388695198079678050739284337108559748841846144\ 7509848028099654642945871824097984250659282718385649916468929168928770832477545\ 3770211554468108996739380257344183009697108949438563342524066300804794645858446\ 425701369900811080368041655790174976449982247445860449261865089701539735] ---------------------------- (A,B)= , {2, 4}, {1, 4} [P^2*x^6-2*P^2*x^5+5*P^2*x^4-8*P^2*x^3-P*x^4+9*P^2*x^2+4*P*x^3-5*P^2*x-10*P*x^2 +x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^3-x^2)*C-x^3+x^2-2*x+1), {4*n* (n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(452*n^2-3314*n+4644)*a(n-2)+(-1692*n^2+ 14922*n-28524)*a(n-3)+(3862*n^2-39352*n+92592)*a(n-4)+(-5719*n^2+65269*n-178206 )*a(n-5)+(5783*n^2-71957*n+218646)*a(n-6)+(-4219*n^2+56023*n-183858)*a(n-7)+( 2346*n^2-32754*n+113916)*a(n-8)+(-1033*n^2+15079*n-54906)*a(n-9)+(338*n^2-5336* n+20952)*a(n-10)+(-57*n^2+1023*n-4578)*a(n-11)+2*(n-10)*(2*n-21)*a(n-12) = 0, a (1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 38, a(8) = 89, a(9) = 219, a(10) = 567, a(11) = 1544, a(12) = 4412}, [1, 1, 2, 4, 8, 17, 38, 89, 219, 567, 1544, 4412, 13175, 40895, 131187, 432527, 1458529, 5009761, 17469380, 61680972, 220057420, 791993908, 2871753329, 10480068162, 38460237997, 141839334507, 525382803249, 1953652695248, 7290224263389, 27290499622454, 102455358790677, 385658305170166, 1455196046735031, 5503114871839705, 20854076863065012, 79177883573982942, 301154590971969940, 1147349907439867799, 4378005978574823154, 16729718569582741970, 64016865421544748520, 245278093895870010409, 940913807360149602413, 3613586556042047775593, 13893057411465211566526, 53469150646260879508642, 205983329173927766868693, 794260845290712153275047, 3065328560898692481830317, 11840106459381307215693675 ], 9836262427798581485208248513645535651090233283953527118382649427471048321522\ 9783029277039152285217110351167772586425837109808613405417187796578811358708594\ 4065003795103782584414774238989997396275886698420281171912534556912019322213449\ 5817764251750282809909302817315418383292438441360246162080019460275414877885638\ 1288200511301380578081487619380350298470034470133092951334257053969379834231052\ 6583751713013810779920577412975648994430972326474201906418514684682709487097006\ 7483379155120451465971429067626703098228231099361418437094304521062705798679732\ 267866315956164851414446514628645098251804839] ---------------------------- (A,B)= , {2, 4}, {1, 5} [P^2*x^9+2*P^2*x^8-P^2*x^7+6*P^2*x^6-14*P^2*x^5+2*P*x^6+14*P^2*x^4+7*P*x^5-18*P ^2*x^3-6*P*x^4+17*P^2*x^2+12*P*x^3-7*P^2*x-22*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5* x+1, (-C*x^2-2*x+1)/((x^5+x^3-x^2)*C+x^4-x^3+2*x^2-3*x+1), {5*n*(n-5)*a(n)+(-\ 101*n^2+673*n-552)*a(n-1)+(872*n^2-7210*n+10572)*a(n-2)+(-4217*n^2+41383*n-\ 83484)*a(n-3)+(12620*n^2-142378*n+356364)*a(n-4)+(-24613*n^2+310625*n-909576)*a (n-5)+(32973*n^2-452097*n+1480872)*a(n-6)+(-33441*n^2+483303*n-1701096)*a(n-7)+ (28890*n^2-436572*n+1623792)*a(n-8)+(-20864*n^2+336832*n-1351548)*a(n-9)+(11324 *n^2-196996*n+864720)*a(n-10)+(-5222*n^2+96856*n-457596)*a(n-11)+(2062*n^2-\ 43550*n+229680)*a(n-12)+(-209*n^2+8509*n-64872)*a(n-13)+(-28*n^2-598*n+9912)*a( n-14)+(4*n^2+160*n-2448)*a(n-15)+(-18*n^2+396*n-2112)*a(n-16)+4*(2*n-27)*(n-14) *a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 18, a(7) = 44, a(8) = 113, a(9) = 302, a(10) = 834, a(11) = 2367, a(12) = 6883, a(13) = 20471, a(14) = 62196, a(15) = 192854, a(16) = 609724, a(17) = 1963547}, [1, 1, 2, 4, 8, 18, 44, 113, 302, 834, 2367, 6883, 20471, 62196, 192854, 609724, 1963547, 6433854, 21423888, 72404966, 248036608, 860164837, 3015985763, 10679608785, 38150244500, 137352593940, 497966636954, 1816589417796, 6663706272991, 24565364495512, 90961390152743, 338161541177226, 1261700204180872, 4722870563335500, 17731497136825880, 66751608817910271, 251916228318162078, 952887074342234557, 3611939428263940237, 13717807514722721561, 52193102808428906138, 198916622561888951863, 759293285198730060180, 2902581332034794421251, 11111064586036544634251, 42587993760932424810079, 163435350079987416258088, 627916762241897424167638, 2415060038577578316103038, 9298188503460077621866262], 688275176921782334440761\ 5100699874935669356667424234282041715319941922982516211989425102240216612329375\ 1164362090092547689270036285232239582512116785734834030487022023511267453643944\ 1781389453209542401203935937787589124142249091984349405390436519388798045548954\ 9184162798836916362389217115728935432238229859323554711017424274315355163021458\ 2448440070920636785344267179744644311515591811107630926703639147225952056724342\ 4555159023202561068012826754438685801802855067836467477648747493686306807241277\ 4256674958506743913757055400514184129283264740437813122022065829386692192311921\ 122850621351254037] ---------------------------- (A,B)= , {2, 4}, {2, 3} [P^2*x^6-2*P^2*x^5-2*P*x^6+4*P*x^5+x^6+5*P^2*x^3-2*P*x^4-2*x^5-2*P^2*x^2-7*P*x^ 3+2*x^4-2*P^2*x+6*P*x^2+2*x^3+P^2+2*P*x-3*x^2-2*P+1, (C*x^3-x^3+x^2-1)/(C*x^3-x ^3+x^2+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)-11*(11*n-20)*(n-5)*a(n-2 )+(81*n^2-819*n+1512)*a(n-3)+(342*n^2-2772*n+5856)*a(n-4)+(-567*n^2+5673*n-\ 14412)*a(n-5)+(-54*n^2+48*n+1980)*a(n-6)+(498*n^2-4812*n+8808)*a(n-7)+(-179*n^2 +1245*n+2276)*a(n-8)+(105*n^2-2949*n+17244)*a(n-9)+(-274*n^2+7626*n-48680)*a(n-\ 10)+(84*n^2-2898*n+21744)*a(n-11)+(179*n^2-3963*n+21820)*a(n-12)-30*(5*n-56)*(n -13)*a(n-13)+20*(2*n-23)*(n-14)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 6, a(6) = 12, a(7) = 27, a(8) = 65, a(9) = 170, a(10) = 476, a(11) = 1414, a(12) = 4402, a(13) = 14217, a(14) = 47239}, [1, 1, 2, 3, 6, 12, 27, 65 , 170, 476, 1414, 4402, 14217, 47239, 160470, 554697, 1944429, 6894374, 24679227, 89056428, 323593154, 1182875890, 4346763457, 16047897424, 59494642961 , 221391957005, 826635485088, 3095996467729, 11627999553452, 43785109077572, 165263075110456, 625136201372327, 2369480581679444, 8998064695282741, 34229987804891336, 130429508010142472, 497749807893531219, 1902266559894608027, 7279797339241753432, 27894639055580020246, 107014973343007643193, 411019170995750181084, 1580327248441487032549, 6082402342554517218958, 23432791399423074018674, 90359316461282626537899, 348740706582372659398031, 1347085844009079118750544, 5207558850390406044266742, 20146697747876572049909127], 17843532804582396590315368980031865469751557361473\ 6581354507439015520897487481741833289835175006089092631498528917447611117591482\ 7363590768663210977618739410891783904969959482323433298082334948216396677136925\ 3573074027979722887138413316274894739390185433321467812736251148926865498317735\ 2622815382080730425075776594043306835187262343833118394278883715361153034397311\ 6692848125647726955760585753450360187985228159142993856040196561534948760768717\ 2626211643394235642045777718349560274558258280174662772139475426196792251977848\ 338539597358328983473673424533567826346889594788612030992982920167738992] ---------------------------- (A,B)= , {2, 4}, {2, 4} [P^2*x^5-2*P^2*x^4+3*P^2*x^3+P*x^4+P^2*x^2-6*P*x^3+x^4-3*P^2*x+2*P*x^2+2*x^3+P^ 2+4*P*x-2*x^2-2*P-x+1, (-C*x^2-x^2+1)/((x^3-x^2)*C-x^2-x+1), {-4*n*(n-4)*a(n)+( 52*n^2-304*n+240)*a(n-1)+(-246*n^2+1860*n-2592)*a(n-2)+(485*n^2-4463*n+8430)*a( n-3)+(-197*n^2+2315*n-5070)*a(n-4)+(-642*n^2+7134*n-20496)*a(n-5)+(850*n^2-\ 10450*n+32616)*a(n-6)+(-179*n^2+1529*n-2430)*a(n-7)+(-264*n^2+4812*n-21300)*a(n -8)+(228*n^2-3846*n+16188)*a(n-9)+(-81*n^2+1443*n-6402)*a(n-10)+2*(n-10)*(2*n-\ 21)*a(n-11) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 6, a(6) = 11, a (7) = 23, a(8) = 49, a(9) = 114, a(10) = 282, a(11) = 752}, [1, 1, 2, 3, 6, 11, 23, 49, 114, 282, 752, 2136, 6419, 20177, 65722, 220038, 752575, 2617356, 9225086, 32869376, 118173756, 428103561, 1561000315, 5724152972, 21094746474, 78081385891, 290153412992, 1082041532942, 4048096515461, 15188802201225, 57141764001633, 215499680826187, 814552975121593, 3085305677072050, 11708946241510341, 44516367758971844, 169531911150654238, 646644715759725464, 2470129761807286018, 9448758120393904485, 36190556292498041169, 138787083316668900022, 532851896891188493414, 2048049696688358780055, 7879995339964975433358, 30348682834511739932672, 116993250695875320070539, 451407809934790174706267, 1743196191181198269424947, 6737136235927485251042663] , 57231404088555621562360992770977683040046182015003185050308400208431999627304\ 1742673239654184058248532312220607721265457758059732439214228646933977454292738\ 3877027971972235517284143907737838512367340219168004409809736538300363664737377\ 0869563256235843099753766199504849983470463344194181786232959592160323398624509\ 4171022718414743088615641157316040106865250593681223025574128861011797887342548\ 5880031160478217286825053534221975154668105491423324797142414913379941694985779\ 4691336330340042540207831646011530990864470775818017504753164881669005870977398\ 18078674134135929510300904632770415506730062] ---------------------------- (A,B)= , {2, 4}, {2, 5} [4*P^2*x^7+8*P^2*x^6-4*P*x^7-10*P^2*x^5-4*P*x^6+x^7-13*P^2*x^4+23*P*x^5+12*P^2* x^3+8*P*x^4-8*x^5+4*P^2*x^2-26*P*x^3+4*x^4-5*P^2*x+11*x^3+P^2+8*P*x-3*x^2-2*P-3 *x+1, ((x^4-x^3-x^2)*C+x^3-2*x^2-x+1)/((2*x^4-x^2)*C+2*x^3-x^2-2*x+1), {-5*n*(n -5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-534*n^2+4506*n-6576)*a(n-2)+(1554*n^2-\ 15852*n+31848)*a(n-3)+(-1207*n^2+15701*n-38856)*a(n-4)+(-4094*n^2+49126*n-\ 148608)*a(n-5)+(9263*n^2-132481*n+461508)*a(n-6)+(-397*n^2+17087*n-95988)*a(n-7 )+(-14126*n^2+228148*n-921984)*a(n-8)+(7444*n^2-143600*n+685152)*a(n-9)+(8297*n ^2-143455*n+611076)*a(n-10)+(-5322*n^2+108492*n-548976)*a(n-11)+(-1748*n^2+ 27424*n-83472)*a(n-12)+(468*n^2-7236*n+14064)*a(n-13)+(-240*n^2+9192*n-80928)*a (n-14)+48*(7*n-103)*(n-16)*a(n-15)+96*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a( 2) = 1, a(3) = 2, a(4) = 3, a(5) = 6, a(6) = 12, a(7) = 27, a(8) = 64, a(9) = 161, a(10) = 423, a(11) = 1156, a(12) = 3270, a(13) = 9548, a(14) = 28707, a(15 ) = 88679, a(16) = 280829}, [1, 1, 2, 3, 6, 12, 27, 64, 161, 423, 1156, 3270, 9548, 28707, 88679, 280829, 909615, 3006510, 10117475, 34590114, 119906420, 420699046, 1491625011, 5337246223, 19250324469, 69918218727, 255509611890, 938809087515, 3466058862996, 12851622387877, 47835569399869, 178669271372940, 669441267850774, 2515449541238723, 9476588513789646, 35787214699168264, 135444299136083971, 513662199861347388, 1951703295647979674, 7428678446137002942, 28321691674149730823, 108140950942195190809, 413506712575506602631, 1583282099766787901441, 6069918110016233910538, 23298321680622777670689, 89527177883211187911962, 344387335333763614205117, 1326102723097091425257289, 5111195338444687226812758], 392247084350187572948077\ 2760392056270384625530170984853374036453909439137716667388407370051706073495494\ 0157727029386708894008289312509596512515179894943178719585517596003503740363020\ 2080670560899092338968403985832543978297982344487570967039755755172210053621398\ 1827148279901291049833972518941813716531000277998493608690497356177300145383271\ 9171466477837954516696596823868481527957106796854976652239868676465847762835600\ 1078630724545179972485449131618391033528696319901719430908387920940968669681583\ 8832516997920040625716841913273715074066209642683146965334337937159023664297042\ 544814023886229992] ---------------------------- (A,B)= , {2, 4}, {3, 4} [P^2*x^5-2*P*x^6+x^7-2*P*x^5+2*x^6+2*P^2*x^3-3*P*x^4+2*x^5+3*P^2*x^2-6*P*x^3+3* x^4-4*P^2*x+2*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^4+x^3)*C+x^2+x-1)/(C*x^3+2*x-1 ), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-334*n^2+2494*n-3492)*a(n-2)+( 886*n^2-8044*n+15372)*a(n-3)+(-994*n^2+10570*n-24588)*a(n-4)+(3*n^2+45*n-2250)* a(n-5)+(719*n^2-9857*n+34158)*a(n-6)+(-236*n^2+2804*n-8424)*a(n-7)+(29*n^2+223* n-2454)*a(n-8)+(-116*n^2+3188*n-21168)*a(n-9)+(-8*n^2-424*n+5640)*a(n-10)+16*(n -12)*(2*n-35)*a(n-11)-6*(n-11)*(n-14)*a(n-12)+12*(2*n-25)*(n-14)*a(n-13) = 0, a (1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 21, a(7) = 50, a(8) = 122, a(9) = 306, a(10) = 791, a(11) = 2113, a(12) = 5846, a(13) = 16771}, [1, 1 , 2, 4, 9, 21, 50, 122, 306, 791, 2113, 5846, 16771, 49876, 153504, 487519, 1591978, 5324476, 18171496, 63069941, 221986475, 790445897, 2841998505, 10301775073, 37601263462, 138060012164, 509524825867, 1888934355197, 7030645291110, 26261073585105, 98403782816684, 369794646019338, 1393304105852253, 5262236491077888, 19918169783223316, 75545593704365319, 287067662716664412, 1092740356493505916, 4166349056073952666, 15909407154506042038, 60837353528971386495, 232952231202124592486, 893119172343085321867, 3428204311381926584744, 13173772901216187255185, 50677321564141725370299, 195143036610856805912907, 752152995981311939369194, 2901700146246008655500753, 11203999604994417078068151], 91956428288192863187135\ 2479602107900585870906978797877891635475865183040601310481402077368503036887864\ 3223441789940331655914805188351015938516527053505684564576750186532521516274051\ 6783371988245750259434090093643856694115458861248786553675667111300549351276710\ 0868378228130355483561173693761740611328567822133286013026374380953069590146628\ 9264648058808330175208561885528292757259242804712002149685796341933690355196820\ 0105512098762203238908871026497102684341037755118694170917961611258203087570146\ 2475835479666179499530738429880029536188829551936976536750996409731221271523720\ 6569597130123221042] ---------------------------- (A,B)= , {2, 4}, {3, 5} [P^2*x^7-2*P*x^8+x^9-2*P^2*x^6+2*x^8-2*P^2*x^5+8*P*x^6-2*x^7+14*P^2*x^4-15*P*x^ 5+x^6-22*P^2*x^3+8*x^5+18*P^2*x^2+18*P*x^3-5*x^4-7*P^2*x-24*P*x^2-x^3+P^2+12*P* x+7*x^2-2*P-5*x+1, ((x^5-x^3+x^2)*C+x^4+2*x-1)/((x^4-2*x^3+x^2)*C+x^3-2*x^2+3*x -1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+(-880*n^2+7268*n-10656)*a(n-2) +(4356*n^2-42642*n+85992)*a(n-3)+(-13594*n^2+152972*n-382872)*a(n-4)+(28064*n^2 -354892*n+1042824)*a(n-5)+(-38999*n^2+544765*n-1813668)*a(n-6)+(35902*n^2-\ 547502*n+2016084)*a(n-7)+(-19977*n^2+331983*n-1335096)*a(n-8)+(4147*n^2-80063*n +363432)*a(n-9)+(2328*n^2-37158*n+152424)*a(n-10)+(-2118*n^2+43350*n-240120)*a( n-11)+(1208*n^2-36004*n+279480)*a(n-12)+(-1047*n^2+35505*n-296964)*a(n-13)+2*( 313*n-4790)*(n-18)*a(n-14)+(-65*n^2+2101*n-17136)*a(n-15)+(-102*n^2+3366*n-\ 27624)*a(n-16)+20*(2*n-31)*(n-18)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a( 4) = 4, a(5) = 9, a(6) = 22, a(7) = 56, a(8) = 146, a(9) = 388, a(10) = 1050, a (11) = 2894, a(12) = 8129, a(13) = 23290, a(14) = 68118, a(15) = 203520, a(16) = 621386, a(17) = 1938660}, [1, 1, 2, 4, 9, 22, 56, 146, 388, 1050, 2894, 8129, 23290, 68118, 203520, 621386, 1938660, 6177416, 20084831, 66545871, 224332590, 768159152, 2667204528, 9375466280, 33311774718, 119474093985, 432010812372, 1573273469160, 5765161679156, 21241421290398, 78639046428868, 292372481258252, 1091128183353795, 4085864555432173, 15346674634455609, 57801748015429791, 218250736013673002, 825970853159791176, 3132465478738057866, 11902792706721105397, 45309515270738319924, 172763543441472742379, 659761897817504187560, 2523192225552956239350, 9662766077325416488512, 37051393817881849745894, 142241691642391029221131, 546687086597433344017383, 2103357719438224545483964, 8100746454296964306853424], 606820620712071210915443\ 6206938411288147889616525947644515503676576331564818221383126286176744628901074\ 4883356814490881642744315606566851223157087224778446394283517518670243483442238\ 4461752137341881798183914819182040431841058068853049948876742720259287805283147\ 8910652566180383087870946615252980360315974744267344436172381243191520394656603\ 2415716753403212660213764092613828544984899205966645250015773877289186888326938\ 5128481390460872469483905852657483267405123247786679087322274474252836513939807\ 7836909899460578516769762389154164355370468172660655952200011875238681157769060\ 921857916536648823] ---------------------------- (A,B)= , {2, 4}, {4, 5} [P^2*x^7-3*P^2*x^5+2*P*x^6-4*P^2*x^4+5*P*x^5+9*P^2*x^3-4*P*x^4+x^5+P^2*x^2-16*P *x^3+6*x^4-4*P^2*x+4*P*x^2+5*x^3+P^2+6*P*x-4*x^2-2*P-2*x+1, (-C*x^3-2*x^2-x+1)/ ((x^4-x^3)*C+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(405*n^ 2-3453*n+5016)*a(n-2)+(-893*n^2+9241*n-18360)*a(n-3)+(16*n^2-1184*n+1728)*a(n-4 )+(3025*n^2-37877*n+115272)*a(n-5)+(-3306*n^2+47142*n-161424)*a(n-6)+(-2183*n^2 +34573*n-137496)*a(n-7)+(4272*n^2-74904*n+324072)*a(n-8)+(174*n^2-864*n-2880)*a (n-9)+(-1490*n^2+28600*n-138600)*a(n-10)+(-240*n^2+3024*n-5232)*a(n-11)+(346*n^ 2-6572*n+30768)*a(n-12)+(30*n^2-510*n+1776)*a(n-13)-2*(n-12)*(13*n-164)*a(n-14) +4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 21, a(7) = 50, a(8) = 121, a(9) = 297, a(10) = 740, a(11) = 1875, a( 12) = 4844, a(13) = 12800, a(14) = 34712, a(15) = 96913}, [1, 1, 2, 4, 9, 21, 50, 121, 297, 740, 1875, 4844, 12800, 34712, 96913, 279240, 831417, 2557596, 8115651, 26491594, 88655882, 303076467, 1054726582, 3725047535, 13316579259, 48083008546, 175057938265, 641757808827, 2366424216953, 8769548807303, 32638652865431, 121933486244840, 457045791049953, 1718252163858259, 6477025204905697, 24474706517765956, 92687381504787734, 351727164909999369, 1337225973712511973, 5092807194441420643, 19427199208179068085, 74219248039672152413, 283944943208220778187, 1087739814024004479727, 4172101943511854104294, 16021111877235430344520, 61589950540609183239607, 237017569592011560819886, 913021208105483296303901, 3520374635953704731240070], 2742004374443242987817336408734145056738190686904609343865395881218445938070115\ 6562123254420747898857592146413664524640893779041107391796611566495338639021003\ 7670273714680222590080507088472147895386306462708789660788389068265933050407092\ 9486555393182803388286478691976073528563660119422196413102013132334052041885822\ 5678322465028830200074756527407815190893360135810179150750070629567846920417442\ 0523192190270196621885631289617589343804145158820467853080614612513702186001560\ 6205020119502557217962160819810911482810864365939683585553466751720021437456805\ 481867552069537047997139044343205065822884] ---------------------------- (A,B)= , {2, 4}, {1, 2, 3} [P^2*x^8-2*P^2*x^7+2*P^2*x^6-2*P^2*x^5+5*P^2*x^4-3*P^2*x^3-2*P*x^4+P^2*x^2+3*P* x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^4-x^4+x^3+x-1), {-3*n*(n-3)*a(n)+2*(17*n-\ 16)*(n-4)*a(n-1)+(-133*n^2+879*n-1160)*a(n-2)+(225*n^2-1737*n+2976)*a(n-3)+(-\ 255*n^2+1935*n-3480)*a(n-4)+(418*n^2-3054*n+5000)*a(n-5)-6*(3*n-8)*(31*n-167)*a (n-6)+(406*n^2-3432*n+6464)*a(n-7)+(-307*n^2+2571*n-5096)*a(n-8)+(266*n^2-2202* n+3880)*a(n-9)+(-130*n^2+882*n-176)*a(n-10)+(40*n^2-360*n+512)*a(n-11)+(2*n^2-\ 90*n+640)*a(n-12)+(-10*n^2+216*n-1136)*a(n-13)+4*(2*n-19)*(n-10)*a(n-14) = 0, a (1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 10, a(7) = 21, a(8) = 49, a(9) = 127, a(10) = 357, a(11) = 1072, a(12) = 3382, a(13) = 11061, a(14) = 37155}, [1, 1, 2, 3, 5, 10, 21, 49, 127, 357, 1072, 3382, 11061, 37155, 127358, 443481, 1563871, 5572145, 20026797, 72512473, 264235514, 968275262, 3565757786, 13189098472, 48976906165, 182521102077, 682396495770, 2558812186525, 9620772050520, 36262407819288, 136991949415767, 518622213482785, 1967246954085934, 7475828197549701, 28457670873024713, 108500350035499273, 414296574004158468, 1584165682726092605, 6065450397061179595, 23252301026137338223, 89244039925758687278, 342906196351425631608, 1318951656846816335129, 5078277436491931509832, 19571147933250028620987, 75493302543606529503424, 291456773848796642285923, 1126149748064090037913638, 4354699964233268275125754, 16851763438874835582985799], 15088302027313022386947\ 5751425299522545893283401856571030811299058127026733238194628336526071397471337\ 9424718637952945276337064125548334410123753376382511835076900400004458662621044\ 4910709553602594793731997906098347958390282461421804360563461508914627774214634\ 7258068523301356714655963271796096930647310610470707209393068064738059934570096\ 8997839740568828732944608605701264885154891571392636325976848717786093459784455\ 9268967125842075897364452972756086416213201822823928414496897858029764352269010\ 8420658047423282816343673468734903001139440577234294621230970509048145441374000\ 65199488714442236186] ---------------------------- (A,B)= , {2, 4}, {1, 2, 4} [P^2*x^6+P^2*x^4-2*P^2*x^3+P*x^4+3*P^2*x^2-3*P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+ 1, (-C*x^2+1)/((x^3-x^2)*C-x^3-x+1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1) +(-258*n^2+1932*n-2688)*a(n-2)+(636*n^2-5658*n+10644)*a(n-3)+(-892*n^2+8986*n-\ 20484)*a(n-4)+(801*n^2-8739*n+22266)*a(n-5)+(-503*n^2+5753*n-15438)*a(n-6)+(235 *n^2-2623*n+6810)*a(n-7)+(-152*n^2+1412*n-2568)*a(n-8)+(121*n^2-1327*n+3090)*a( n-9)+(-36*n^2+498*n-1620)*a(n-10)-(n-10)*(n-9)*a(n-11)+2*(n-10)*(2*n-21)*a(n-12 ) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 17, a (8) = 35, a(9) = 79, a(10) = 196, a(11) = 531, a(12) = 1548}, [1, 1, 2, 3, 5, 9 , 17, 35, 79, 196, 531, 1548, 4777, 15380, 51091, 173729, 601378, 2111101, 7495199, 26860786, 97024164, 352840492, 1290712679, 4745956192, 17531012580, 65023160264, 242063182233, 904142908033, 3387367919993, 12725978685342, 47931876989452, 180956815600023, 684645293850531, 2595541283788421, 9858268858196575, 37508426555867068, 142943043366796536, 545580020462036220, 2085328912395136846, 7981314289600540723, 30586113246175744452, 117352770572119723955, 450768191388277787973, 1733316966360738904405, 6671807466179544024728, 25705592389009148806257, 99131064308480282580212, 382622840158924982403661, 1478064056264781268358200, 5714264721656407608567099] , 49136593606754379418754699423299094891536857081556699768960743778831136221206\ 0707471248098146334090709125878708523868049252156282201321990739941278146690387\ 0800328316671383843624998497124506403280320328531891535885639845276191249267814\ 6207611637821665564559023405409140671006649648972090696449218026822516559568176\ 3256038351750222561827379792748944952125522003930862049390662725077118672871192\ 8304720761495034055836915515122531672386371185178387950896224190663355154229295\ 5459400520346728478967148369699478266948877016085659769779875172238142532969466\ 28823751581265282210689968694665748250350153] ---------------------------- (A,B)= , {2, 4}, {1, 2, 5} [P^2*x^9+4*P^2*x^8+2*P^2*x^7-2*P^2*x^6+2*P*x^7-9*P^2*x^5+8*P*x^6+P^2*x^4+7*P*x^ 5+2*P^2*x^3-4*P*x^4+x^5+6*P^2*x^2-10*P*x^3+4*x^4-5*P^2*x-4*P*x^2+5*x^3+P^2+8*P* x-x^2-2*P-3*x+1, ((-x^3-x^2)*C-x^2-x+1)/((x^5+x^4-x^2)*C+x^4-2*x+1), {5*n*(n-5) *a(n)+(-83*n^2+559*n-456)*a(n-1)+(550*n^2-4622*n+6744)*a(n-2)+(-1818*n^2+18216* n-36528)*a(n-3)+9*(327*n-1165)*(n-8)*a(n-4)+(-1563*n^2+19155*n-48672)*a(n-5)+(-\ 615*n^2+15621*n-78156)*a(n-6)+(-1491*n^2+11139*n-2340)*a(n-7)+(3420*n^2-53286*n +207072)*a(n-8)+(609*n^2-5277*n-3432)*a(n-9)+(-1519*n^2+31865*n-157548)*a(n-10) +(-1803*n^2+27765*n-100356)*a(n-11)+(524*n^2-14158*n+89928)*a(n-12)+(824*n^2-\ 14944*n+65496)*a(n-13)+(64*n^2+1576*n-29088)*a(n-14)+(-153*n^2+4143*n-28020)*a( n-15)+(70*n^2-2174*n+16680)*a(n-16)+6*(19*n-284)*(n-15)*a(n-17)+12*(n-16)*(2*n-\ 29)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 10, a (7) = 21, a(8) = 48, a(9) = 118, a(10) = 306, a(11) = 832, a(12) = 2357, a(13) = 6923, a(14) = 21004, a(15) = 65598, a(16) = 210210, a(17) = 689062, a(18) = 2303877}, [1, 1, 2, 3, 5, 10, 21, 48, 118, 306, 832, 2357, 6923, 21004, 65598, 210210, 689062, 2303877, 7836429, 27053273, 94596849, 334445385, 1193756847, 4296354707, 15574586127, 56816864493, 208428052486, 768383571325, 2845181214864 , 10576779916703, 39458362271151, 147679696780067, 554335199959859, 2086335966337603, 7871547178211912, 29765662993932712, 112791392134282650, 428227924429878636, 1628746451064259758, 6205238052616531003, 23677846179482881330, 90481891222791951151, 346240491058857310724, 1326646697257974841485, 5089341531336925837798, 19546419537801362353567, 75152772230578521224718, 289247766889011852996735, 1114343920511957194987323, 4297060437603113062157012], 335133312942816539782464775847027025141307026983757\ 1039239167119361107841069498062866783167933835261420384887543068749642447683461\ 6139676668580746094394736212221954474456165074566657011592154591082259059638170\ 8239349256215736407540446665260566276124774088630231802094932695892532220217424\ 4196282815578780655550287583282439437393536394661991065030415753925135976685529\ 0598593278232002361027163375365602118254034012012466718082403381273760390752769\ 8962060771954992632059159957772448842996933519785057047042692676459312282641285\ 1091106493375507550466631923011467050507968356424085181350898106667940] ---------------------------- (A,B)= , {2, 4}, {1, 3, 4} [P^2*x^9-2*P^2*x^8+4*P^2*x^7-3*P^2*x^6-2*P*x^7+3*P^2*x^5+2*P*x^6+P^2*x^4-4*P*x^ 5-3*P^2*x^3+P*x^4+x^5+5*P^2*x^2-4*P^2*x-4*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (C*x^3 +x-1)/((x^5-x^4+x^3)*C+x^3-x^2+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-\ 1)+(-346*n^2+2566*n-3588)*a(n-2)+(1047*n^2-9321*n+17742)*a(n-3)+(-1799*n^2+ 18401*n-42870)*a(n-4)+(1834*n^2-20902*n+56004)*a(n-5)+(-1039*n^2+13717*n-42678) *a(n-6)+(-85*n^2-2567*n+19974)*a(n-7)+(943*n^2-5725*n-9378)*a(n-8)+(-1138*n^2+ 5968*n+26628)*a(n-9)+(911*n^2-2603*n-47658)*a(n-10)+(-544*n^2+1078*n+37320)*a(n -11)+(331*n^2-3007*n-1746)*a(n-12)+(-319*n^2+6943*n-38934)*a(n-13)+(411*n^2-\ 10845*n+71742)*a(n-14)+(-380*n^2+10268*n-69336)*a(n-15)+(285*n^2-7977*n+55698)* a(n-16)+(-126*n^2+3594*n-25500)*a(n-17)+20*(2*n-27)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a(8) = 83, a(9 ) = 195, a(10) = 482, a(11) = 1257, a(12) = 3463, a(13) = 10054, a(14) = 30594, a(15) = 96898, a(16) = 317131, a(17) = 1065535, a(18) = 3655453}, [1, 1, 2, 4, 8, 17, 37, 83, 195, 482, 1257, 3463, 10054, 30594, 96898, 317131, 1065535, 3655453, 12749632, 45062123, 160992396, 580315532, 2107500509, 7702595318, 28307208001, 104531764453, 387657492803, 1443101641381, 5390481710305, 20197561548306, 75890988780049, 285888733457277, 1079514596930974, 4085120328023641, 15490147178265406, 58846134506759483, 223942267781453370, 853610413306876772, 3258693825100888728, 12457952145153758255, 47690491510273047694, 182795322439462904300, 701480363803278665200, 2694974919946768728729, 10364697200642959394530, 39902229448609336036740, 153763823575032728952383, 593071583064484363895699, 2289480583193642623153957, 8845574324661952563314165], 742312646419084773613551874957603166822883528906047\ 4552785929872010439978751553062148632116025701818575711678303504539317835394971\ 0004184537794075313406996656909367866438053020057300709514822237632614319032173\ 4295371858730951073841706534346871260073143432657561411965050305384899863170846\ 2558532750901392393575382550390261883583837574028975720819852431988726914120892\ 4776380003883991678864541032777295843718275434615335995111339575575426666999244\ 6288757372635365249882282594381267201070492544800184063229875393222980185280227\ 2337233950635883491419545011016346518132845600333505161659664270827041] ---------------------------- (A,B)= , {2, 4}, {1, 3, 5} [P^2*x^11-2*P^2*x^10+7*P^2*x^8-2*P*x^9-19*P^2*x^7+2*P*x^8+35*P^2*x^6+2*P*x^7-45 *P^2*x^5-14*P*x^6+x^7+44*P^2*x^4+29*P*x^5-34*P^2*x^3-40*P*x^4-x^5+20*P^2*x^2+38 *P*x^3+7*x^4-7*P^2*x-28*P*x^2-9*x^3+P^2+12*P*x+9*x^2-2*P-5*x+1, ((x^4-x^3+x^2)* C+x^3-x^2+2*x-1)/((x^6-2*x^5+2*x^4-2*x^3+x^2)*C+x^5-2*x^4+3*x^3-3*x^2+3*x-1), { -5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+(-896*n^2+7384*n-10824)*a(n-2)+(4662 *n^2-45372*n+91392)*a(n-3)+(-16128*n^2+179502*n-447864)*a(n-4)+(40147*n^2-\ 498575*n+1455432)*a(n-5)+(-76339*n^2+1037147*n-3412032)*a(n-6)+(115881*n^2-\ 1695933*n+6120816)*a(n-7)+(-144050*n^2+2245732*n-8720280)*a(n-8)+(147849*n^2-\ 2438115*n+10054584)*a(n-9)+(-124764*n^2+2170014*n-9446064)*a(n-10)+(85141*n^2-\ 1566971*n+7227744)*a(n-11)+(-45250*n^2+900470*n-4531608)*a(n-12)+(17349*n^2-\ 409041*n+2483544)*a(n-13)+(-4485*n^2+174555*n-1526736)*a(n-14)+(1849*n^2-122405 *n+1329552)*a(n-15)+(-2575*n^2+123827*n-1251768)*a(n-16)+(2658*n^2-102762*n+ 949536)*a(n-17)+(-1616*n^2+57352*n-504816)*a(n-18)+(455*n^2-15991*n+140592)*a(n -19)+(142*n^2-4814*n+40392)*a(n-20)+(-182*n^2+6454*n-56784)*a(n-21)+28*(2*n-33) *(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 18, a(7) = 43, a(8) = 105, a(9) = 263, a(10) = 678, a(11) = 1799, a(12) = 4917, a(13) = 13857, a(14) = 40280, a(15) = 120715, a(16) = 372506, a(17) = 1181249, a(18) = 3839697, a(19) = 12758399, a(20) = 43213827, a(21) = 148807382, a(22) = 519709857}, [1, 1, 2, 4, 8, 18, 43, 105, 263, 678, 1799, 4917, 13857, 40280, 120715, 372506, 1181249, 3839697, 12758399, 43213827, 148807382, 519709857, 1837064767, 6560578981, 23635595947, 85794685043, 313458408094, 1151751917606, 4252991244816, 15773745726329, 58731297748900, 219442998007135, 822509918184076 , 3091716450352506, 11651637489035394, 44015685046515972, 166639415337343952, 632156331990435164, 2402608434900281331, 9147358919269898762, 34882795491578788167, 133224340585934302593, 509531528247211737306, 1951354311034519936207, 7482464124424300392972, 28725359747798661196332, 110400281977768120348411, 424749305470985977437647, 1635795384368240546823730, 6305753364566820413631927], 486226253038042763753260620237692509213936688471275\ 3768705460678048196964723365566969222527365469180282257863025710309034186513350\ 7782284190668617516874068709764405608785509342076459279593012510920050797406771\ 0107203304226866778428505657651470038503242537175182780524485565726213374196585\ 1202843594956488137031253117255110467008865111229247116952351665619539289293497\ 8484641196094277662413363204530794060845683109726099308606362569814708135672992\ 3373029841804223465819285421229903580983232059310939116838406191334083227740265\ 6282493975249654654571001730210583343812585900881816988383333651305596] ---------------------------- (A,B)= , {2, 4}, {1, 4, 5} [P^2*x^7-2*P^2*x^6+P^2*x^5+2*P*x^6-2*P^2*x^4-P*x^5+3*P^2*x^3+x^5+3*P^2*x^2-8*P* x^3+2*x^4-4*P^2*x+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^4-x^3)* C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(421*n^2-3569*n+5184)*a(n-\ 2)+(-1115*n^2+11263*n-22392)*a(n-3)+(1158*n^2-13578*n+32568)*a(n-4)+(507*n^2-\ 6387*n+22848)*a(n-5)+(-1924*n^2+27356*n-96264)*a(n-6)+(981*n^2-13191*n+44160)*a (n-7)+(-2*n^2-4898*n+38112)*a(n-8)+(176*n^2+1070*n-21168)*a(n-9)+(114*n^2-3228* n+19416)*a(n-10)+(-364*n^2+6332*n-26376)*a(n-11)+(142*n^2-2468*n+10080)*a(n-12) +12*(n-14)*(n-13)*a(n-13)-6*(3*n-40)*(n-14)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a(8) = 82, a(9) = 186, a(10) = 433, a(11) = 1039, a(12) = 2584, a(13) = 6696, a(14) = 18152, a(15) = 51565}, [1, 1, 2, 4, 8, 17, 37, 82, 186, 433, 1039, 2584, 6696 , 18152, 51565, 153321, 475372, 1528579, 5066923, 17214964, 59650596, 209951256 , 748255824, 2693801231, 9778538369, 35741717652, 131404765448, 485540455923, 1801931823941, 6713140022548, 25096020740803, 94107601539230, 353881865788074, 1334128572430110, 5041385329040913, 19091240034160216, 72440189502950680, 275374441260657334, 1048601905059228392, 3999363240114171955, 15276347197461724764, 58432741527944795014, 223802257631502772857, 858244060404985713000, 3295071776395243025800, 12664814454181595735231, 48728954002853464886817, 187674862230624683741822, 723492694022599465851144, 2791586689978106527704504], 222705779438249737673701572417232675349189793669519\ 2173918805269465663684937761130425722730781354863524982342802064689523371944865\ 4461036443637860172644764087893832837097295487301664134259231507810413946184729\ 7109758628851015616355600430898162626614225224245652386931064230939792259021415\ 4289401425762178161112425381960981572809338643454465599336754201352027062709106\ 3537392690857500882419258857277606983325688156744641525226554397960111766017261\ 4054021028006406020814944171003908167892441430054214187670823833375244603975118\ 2964836099577340864913123501639846028049367511358761681487012275236141] ---------------------------- (A,B)= , {2, 4}, {2, 3, 4} [P^2*x^7-2*P*x^7+P^2*x^5+x^7+2*P^2*x^4-2*P*x^5+P^2*x^3-3*P*x^4+x^5-P^2*x^2+x^4-\ 2*P^2*x+4*P*x^2-x^3+P^2+2*P*x-2*x^2-2*P+1, (C*x^4+x^2-1)/(C*x^4+x^2+x-1), {-4*n *(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-164*n^2+1268*n-1752)*a(n-2)+(167*n^2-\ 1577*n+2814)*a(n-3)+(163*n^2-1777*n+4902)*a(n-4)+(-200*n^2+2804*n-9072)*a(n-5)+ (-237*n^2+2877*n-8814)*a(n-6)+(65*n^2-1661*n+8514)*a(n-7)+(195*n^2-2079*n+3858) *a(n-8)+(49*n^2-2239*n+16662)*a(n-9)+(-59*n^2+1967*n-14814)*a(n-10)+(22*n^2+464 *n-7368)*a(n-11)+(11*n^2-323*n+2526)*a(n-12)+(40*n^2-1390*n+11340)*a(n-13)+3*(n -14)*(17*n-243)*a(n-14)-2*(11*n-134)*(n-15)*a(n-15)+20*(2*n-27)*(n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 6, a(6) = 11, a(7) = 22, a( 8) = 45, a(9) = 99, a(10) = 233, a(11) = 594, a(12) = 1633, a(13) = 4803, a(14) = 14920, a(15) = 48340, a(16) = 161624}, [1, 1, 2, 3, 6, 11, 22, 45, 99, 233, 594, 1633, 4803, 14920, 48340, 161624, 553208, 1927363, 6807517, 24307643, 87570150, 317828942, 1160855070, 4263256111, 15732283464, 58303199438, 216894143144, 809643878470, 3031737195989, 11384670991346, 42862433630526, 161759437788865, 611813168497384, 2318747584482650, 8804616219635255, 33491389848078440, 127605942762582704, 486942618794758493, 1860854093192209989, 7120931148239607510, 27284550133779393510, 104669685850656191960, 401994711278831614409, 1545569607672081819945, 5948414309014238018136, 22915837330131340388409, 88363169233952721905961, 341026822217351123195086, 1317254028019969106947587, 5092107479420028938028656], 436557815013874861663632\ 6111058914252323856864566105891786584067697421796286144781628110288251181599621\ 1694696358443452410941719003160042816179391028061001794763629456549494421962894\ 4757161520071404521275334654792641451248042417823979527149526927734583561051572\ 4346526453667772406004447253914369515822665289127305426567257089265684431222774\ 6265486167924505286053379984101378098490414947568198256511316877330070403392720\ 7570270536995686016291680931725656885822804204960410590539475692357734339997124\ 2437811020695337398568219949773388909075297141764536513254568425652417490503109\ 258994566862066685] ---------------------------- (A,B)= , {2, 4}, {2, 3, 5} [P^2*x^9-2*P*x^9-5*P^2*x^7+x^9+5*P^2*x^6+8*P*x^7+7*P^2*x^5-12*P*x^6-3*x^7-12*P^ 2*x^4-5*P*x^5+7*x^6+2*P^2*x^3+20*P*x^4-x^5+7*P^2*x^2-12*P*x^3-6*x^4-5*P^2*x-6*P *x^2+7*x^3+P^2+8*P*x-2*P-3*x+1, ((x^5-x^4+x^2)*C+x^4-x^3+x^2+x-1)/((x^5-x^4-x^3 +x^2)*C+x^4-x^3+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-558*n^2+ 4680*n-6828)*a(n-2)+(1915*n^2-19133*n+38388)*a(n-3)+(-3275*n^2+38197*n-95004)*a (n-4)+(1191*n^2-18207*n+52104)*a(n-5)+(5486*n^2-72496*n+246732)*a(n-6)+(-9363*n ^2+142353*n-544488)*a(n-7)+(3124*n^2-61502*n+298008)*a(n-8)+(6102*n^2-88230*n+ 293220)*a(n-9)+(-6324*n^2+104832*n-407568)*a(n-10)+(612*n^2-19548*n+132912)*a(n -11)+(939*n^2+5505*n-201324)*a(n-12)+(539*n^2-30403*n+311124)*a(n-13)+(328*n^2-\ 12890*n+112920)*a(n-14)+(-1611*n^2+54777*n-460236)*a(n-15)+2*(29*n-480)*(11*n-\ 190)*a(n-16)+(534*n^2-18246*n+155832)*a(n-17)+(-372*n^2+13020*n-113664)*a(n-18) -6*(5*n-76)*(n-19)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 6, a(6) = 12, a(7) = 26, a(8) = 58, a(9) = 135, a(10 ) = 327, a(11) = 828, a(12) = 2195, a(13) = 6095, a(14) = 17697, a(15) = 53542, a(16) = 167995, a(17) = 543785, a(18) = 1806617, a(19) = 6132298, a(20) = 21184349}, [1, 1, 2, 3, 6, 12, 26, 58, 135, 327, 828, 2195, 6095, 17697, 53542, 167995, 543785, 1806617, 6132298, 21184349, 74245305, 263323705, 943222092, 3406911015, 12393473028, 45361027556, 166911559346, 617055074660, 2290684639363 , 8535304032383, 31909779323996, 119658251172491, 449943414025492, 1696163449885848, 6408895780367382, 24267574976954768, 92072137340223121, 349967259635315557, 1332505961350259772, 5081644376075634249, 19408340429903436904, 74230336794992941140, 284280398281600801990, 1090063122046453212584, 4184709133843810494362, 16082737954926794628408, 61874287159557776097426, 238282633946317576214916, 918511898709906649302239, 3543784170762152050490459], 281628655910082540562119090606596994040655476747202\ 9536798317475171017851513971360799369659772194158307223163544347976277770354525\ 8601193819811111378041594386279455616811405874507462451492380458811459512110146\ 8936673453126818125825809608328505844745595990048070252668157948149862608281091\ 9475612068933393064570516882536238931139171174270444513906151668752301243963407\ 0202129479025510070594479452412548194566456016492294955501057740981796797177256\ 9313472320504494440383660699826193749897733594245043119050577927139179543503316\ 9515584481979696038842167886444380843787978821202218642177923751185009] ---------------------------- (A,B)= , {2, 4}, {2, 4, 5} [P^2*x^7-6*P^2*x^5+2*P*x^6+3*P^2*x^4+5*P*x^5+8*P^2*x^3-12*P*x^4+x^5-4*P^2*x^2-8 *P*x^3+6*x^4-2*P^2*x+10*P*x^2+P^2+2*P*x-5*x^2-2*P+1, (-C*x^3-2*x^2+1)/((x^4-x^3 )*C+x^3-2*x^2-x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-6)*a(n-1)+(179*n^2-1597*n+ 2268)*a(n-2)+(76*n^2-452*n+1296)*a(n-3)+(-1259*n^2+14011*n-35976)*a(n-4)+(1216* n^2-15860*n+47160)*a(n-5)+(2459*n^2-33925*n+116124)*a(n-6)+(-3933*n^2+60879*n-\ 231648)*a(n-7)+(-1220*n^2+19300*n-78456)*a(n-8)+(3771*n^2-66885*n+298044)*a(n-9 )+(-324*n^2+6132*n-29088)*a(n-10)+(-1260*n^2+24978*n-124056)*a(n-11)+(280*n^2-\ 6296*n+35976)*a(n-12)+6*(17*n-115)*(n-12)*a(n-13)-2*(n-12)*(13*n-164)*a(n-14)+4 *(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 6, a(6) = 11, a(7) = 22, a(8) = 44, a(9) = 92, a(10) = 199, a(11) = 453, a(12) = 1092, a(13) = 2810, a(14) = 7727, a(15) = 22611}, [1, 1, 2, 3, 6, 11, 22, 44, 92, 199, 453, 1092, 2810, 7727, 22611, 69796, 224929, 749392, 2560469, 8916982, 31511811, 112644255, 406389837, 1477287845, 5404461255, 19879653246, 73472894809, 272686239878, 1015824145724, 3796895657767, 14234926328062, 53515569381517, 201697995078000, 761957593814166, 2884628738262102, 10942337418927269, 41584367615013862, 158305200139385622, 603609645578368823, 2304988255121612807, 8814397950423625054, 33751376119100868448, 129399302250227357014, 496687896900966249443, 1908615796059330195806, 7341944453696859418249, 28270772869770009285037, 108962344822605300404563, 420346233316909820304774, 1622972244672092636598619], 1326473324007778640794900\ 1570093321631488166555311812200452502792475325485006142780347011196568798663995\ 5819230990547089291250705690430518631638353361801251152589473918583207742930742\ 2473831453086434579431308675172250991238673316554996822210582734371343480423868\ 5072342960399133332036029591818507324217280163246619866820732333697370076645913\ 0678493788122930197625493340785172185227822628036855037060276388156804962875502\ 2810716779173631280533782974198161024842967867549040285675652504986437390287864\ 8585213816635560726642336352795010797637360370182146206578041676388089169971524\ 45710636453806547] ---------------------------- (A,B)= , {2, 4}, {3, 4, 5} [P^2*x^7-2*P*x^8+x^9+2*P^2*x^6-6*P*x^7+4*x^8-4*P*x^6+5*x^7+6*P^2*x^4-9*P*x^5+5* x^6-3*P^2*x^3-6*P*x^4+6*x^5+4*P^2*x^2+2*P*x^3+x^4-4*P^2*x-2*P*x^2-x^3+P^2+6*P*x -x^2-2*P-2*x+1, ((x^5+x^4)*C+x^4+x^3+x^2+x-1)/(C*x^4+x^3+2*x-1), {-5*n*(n-5)*a( n)+(74*n^2-502*n+408)*a(n-1)+(-429*n^2+3627*n-5268)*a(n-2)+(1247*n^2-12433*n+ 24696)*a(n-3)+(-2017*n^2+22541*n-54432)*a(n-4)+(2257*n^2-26639*n+71940)*a(n-5)+ (-2549*n^2+32221*n-97212)*a(n-6)+(2280*n^2-32304*n+111408)*a(n-7)+(-1103*n^2+ 16411*n-59760)*a(n-8)+(872*n^2-16072*n+75768)*a(n-9)+(-402*n^2+11364*n-75792)*a (n-10)+(-80*n^2+2080*n-14976)*a(n-11)+(-180*n^2+4368*n-24840)*a(n-12)+(35*n^2-\ 1693*n+15564)*a(n-13)+(152*n^2-5704*n+51432)*a(n-14)+(77*n^2-2365*n+18168)*a(n-\ 15)+(130*n^2-4190*n+33720)*a(n-16)+20*(2*n-31)*(n-18)*a(n-17) = 0, a(1) = 1, a( 2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 21, a(7) = 49, a(8) = 115, a(9) = 273, a(10) = 657, a(11) = 1607, a(12) = 4010, a(13) = 10255, a(14) = 27010, a( 15) = 73609, a(16) = 208310, a(17) = 613219}, [1, 1, 2, 4, 9, 21, 49, 115, 273, 657, 1607, 4010, 10255, 27010, 73609, 208310, 613219, 1876788, 5955932, 19516538, 65714091, 226264721, 793226584, 2821162402, 10149727427, 36855482938, 134842472046, 496434484408, 1837283029461, 6830257294658, 25490971465932, 95459591245880, 358568563315974, 1350547499219722, 5099419904665078, 19297926468727593, 73181081213013769, 278045248418912112, 1058277462496150965, 4034568919723606507, 15404951194487227274, 58904193109047796519, 225536153878163177944, 864639874350537431887, 3318728525606281628033, 12752537534977728284143, 49055012857597619925402, 188889464195687047996741, 728026549507873184877880, 2808543458302088492642226], 2227510750562557290489938\ 7566126222670438299425281710691460380806483576096158969425256496866858083840058\ 1136258828506712607221131071141905795406939110262431186449901647530405993372385\ 2119014299824679953501196152682117128812828216283672417159534607610740817392409\ 0706618402815044703358571562299450842736499989499981452572693014193589063359816\ 2433318789391000775802635855958751240336622763665088902923538893025263803782618\ 9739957701033947382973056576158238859309301985018732405827088208959499394855204\ 6719311658166828393688304333513855769335154669727196725911584855292717214339187\ 35047464047260993] ---------------------------- (A,B)= , {2, 4}, {1, 2, 3, 4} [P^2*x^9+P^2*x^7+P^2*x^6+P^2*x^5+P^2*x^4-2*P^2*x^3+P*x^4+P^2*x^2+2*P*x^3-2*P^2* x+P^2+2*P*x-2*P+1, -1/(C*x^5+x^3+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1 )+(-176*n^2+1340*n-1848)*a(n-2)+(298*n^2-2632*n+4788)*a(n-3)+(-300*n^2+2808*n-\ 5880)*a(n-4)+(329*n^2-3293*n+7698)*a(n-5)+(-231*n^2+2823*n-8298)*a(n-6)+(27*n^2 -567*n+2574)*a(n-7)+(-56*n^2+836*n-3132)*a(n-8)+(-40*n^2+130*n+600)*a(n-9)+(111 *n^2-1221*n+3498)*a(n-10)+(-81*n^2+525*n+138)*a(n-11)+(84*n^2-1140*n+3876)*a(n-\ 12)+(-6*n^2+72*n-168)*a(n-13)+(23*n^2-401*n+1734)*a(n-14)+2*(n-10)*(2*n-21)*a(n -15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 16 , a(8) = 31, a(9) = 66, a(10) = 155, a(11) = 404, a(12) = 1151, a(13) = 3513, a (14) = 11272, a(15) = 37464}, [1, 1, 2, 3, 5, 9, 16, 31, 66, 155, 404, 1151, 3513, 11272, 37464, 127676, 443190, 1560126, 5553299, 19947368, 72198606, 263029263, 963697793, 3548485278, 13124064634, 48732134870, 181599306146, 678921256101, 2545692398784, 9571167974030, 36074572113439, 136279571506876, 515916365017554, 1956954014406783, 7436618223024844, 28308098597605647, 107929031280180214, 412111560605604143, 1575798989934040043, 6033376314957969366, 23129208165366836103, 88771141095194092888, 341087584807512152975, 1311951164065538867048, 5051305264660983820415, 19467135672912618095138, 75091864899256137407722, 289906168962883430032779, 1120155715434388465033460, 4331512236887041828331626], 375763121507762920200517\ 6701810355120692212213133980968286880155774965576465202008980563039041187606164\ 7518411430766069416906126031347928062135767784436711801836850299422636417392593\ 7392664489503590977989523286997769791096003638294580317425947862221900710497492\ 3098838727317263454165115791331169692099649875312101898119701392858539364004503\ 5059985623211559008817522384985756655685071013634373355841601956780534073458932\ 2930245792611018625415820447643852203029248908241257812468208610226414100568995\ 3781173064893826674944251522755817440136542886638066370499619059629404826084696\ 444501873355349518] ---------------------------- (A,B)= , {2, 4}, {1, 2, 3, 5} [P^2*x^11-3*P^2*x^9+3*P^2*x^8-3*P^2*x^7+10*P^2*x^6-2*P*x^7-12*P^2*x^5-2*P*x^6+8 *P^2*x^4+7*P*x^5-8*P^2*x^3-4*P*x^4+9*P^2*x^2+4*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+8 *P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/((x^6-x^5-x^3+x^2)*C+x^5-x^4+x^3-x^2+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-574*n^2+4796*n-6996)*a(n-2)+(2179* n^2-21497*n+43068)*a(n-3)+(-5083*n^2+57173*n-141468)*a(n-4)+(7924*n^2-98132*n+ 280704)*a(n-5)+(-9450*n^2+122922*n-381648)*a(n-6)+(10577*n^2-139261*n+444360)*a (n-7)+(-11599*n^2+158303*n-525576)*a(n-8)+(10444*n^2-153182*n+554268)*a(n-9)+(-\ 7335*n^2+115989*n-467700)*a(n-10)+(5036*n^2-83626*n+366228)*a(n-11)+(-3530*n^2+ 62218*n-287688)*a(n-12)+(1681*n^2-35423*n+190884)*a(n-13)-4*(115*n-1244)*(n-24) *a(n-14)+(174*n^2-8154*n+70704)*a(n-15)+(-62*n^2+2614*n-22656)*a(n-16)+(36*n^2-\ 1548*n+14136)*a(n-17)-24*(n-14)*(2*n-39)*a(n-18)-6*(n-13)*(n-16)*a(n-19)+12*(2* n-29)*(n-16)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6 ) = 10, a(7) = 20, a(8) = 42, a(9) = 94, a(10) = 222, a(11) = 557, a(12) = 1486 , a(13) = 4197, a(14) = 12472, a(15) = 38698, a(16) = 124401, a(17) = 411471, a (18) = 1392337, a(19) = 4798075, a(20) = 16779708}, [1, 1, 2, 3, 5, 10, 20, 42, 94, 222, 557, 1486, 4197, 12472, 38698, 124401, 411471, 1392337, 4798075, 16779708, 59392531, 212333211, 765517503, 2779756537, 10156592863, 37311076459, 137720296551, 510503748021, 1899541225805, 7092264786276, 26562496838252, 99765654472178, 375679572614324, 1418037170138998, 5364276443893362, 20333742966371706, 77222358912375206, 293786556857800686, 1119523442748733759, 4272687647070267138, 16330307757732168093, 62499313509343407523, 239502193524914770194, 918894768454788966813, 3529517811415498738775, 13571626553465505379957, 52238540858740300797617, 201265966963608940399442, 776156062810714906227647, 2995766191508604381028280], 2415372752491981791708939\ 2900097033745339746467366659392347381977611810421661994480933892142842185365467\ 2784988383264925536452293598250505134477794390403692601109622861628322779935781\ 7880105299429583262293254140836567142918166055649124947410699905653973881772694\ 5168060527168901417653681328109662079708164306096305068965934821167010413877495\ 3704958310697350480337701267793733851637049940727584662004245738084005326209617\ 3518648281349964901578257877582758755831954140082935492435124695103592795632730\ 5322472961054800316021704890260687649639458818190224301262916181608122968420251\ 40144751517057060] ---------------------------- (A,B)= , {2, 4}, {1, 2, 4, 5} [P^2*x^7-2*P^2*x^6+2*P*x^6+P^2*x^4-P*x^5+4*P^2*x^3-4*P*x^4+x^5-2*P^2*x^2-4*P*x^ 3+2*x^4-2*P^2*x+6*P*x^2+P^2+2*P*x-3*x^2-2*P+1, (-C*x^3-x^2+1)/((x^4-x^3)*C-x^2- x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-6)*a(n-1)+3*(65*n-116)*(n-7)*a(n-2)+(-104* n^2+1204*n-2016)*a(n-3)+(-627*n^2+7047*n-18624)*a(n-4)+(850*n^2-11030*n+33384)* a(n-5)+(475*n^2-6977*n+25140)*a(n-6)+(-919*n^2+16037*n-66600)*a(n-7)+(-318*n^2+ 3042*n-5184)*a(n-8)+(333*n^2-5583*n+24420)*a(n-9)+(438*n^2-6894*n+25704)*a(n-10 )+(-292*n^2+4514*n-15768)*a(n-11)+(-28*n^2+752*n-4680)*a(n-12)+(52*n^2-1136*n+ 6192)*a(n-13)-6*(3*n-40)*(n-14)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1 , a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 16, a(8) = 30, a(9) = 59, a(10) = 123, a(11) = 277, a(12) = 679, a(13) = 1813, a(14) = 5227, a(15) = 16037}, [1, 1, 2, 3, 5, 9, 16, 30, 59, 123, 277, 679, 1813, 5227, 16037, 51580, 171730, 586338, 2039626, 7196509, 25676880, 92446729, 335358226, 1224345527, 4494699814, 16580684861, 61428453287, 228456911731, 852591174151, 3191819153907, 11983276011458, 45107388464455, 170201288299764, 643635867449234 , 2438980423716657, 9259837589894238, 35218302041221008, 134169018077880280, 511927735055287150, 1956121573107886058, 7484724061860889630, 28675690392255047807, 109996395971859333634, 422416137428798559256, 1623952639352443199332, 6249603636970443728619, 24074383525147232312466, 92824044198023873890810, 358219284565744809572905, 1383574475261860424821865], 1145212365938130507341337193361642228107717094206420175933600886412265620001158\ 4940844974701295440045647485783702608830746923706131930281589497456804874931922\ 9547773013487075320269959263661114929465764955742582760276571386550122887663662\ 9538031516337856797213358167906665204508874543899133722054029701207836903504464\ 5125547574579204075954758580623439301554597740991006968632791714514011611873748\ 3086103826684945017187900462167005896197993200851068786855393970852404236181896\ 7718800248233528799981100206451067509653884843859015436678051053047957223330164\ 608421582939156073142446899150081742920274] ---------------------------- (A,B)= , {2, 4}, {1, 3, 4, 5} [P^2*x^11-P^2*x^9+7*P^2*x^8-2*P*x^9-9*P^2*x^7-2*P*x^8+15*P^2*x^6+2*P*x^7-14*P^2 *x^5-10*P*x^6+x^7+14*P^2*x^4+9*P*x^5+2*x^6-9*P^2*x^3-14*P*x^4+6*P^2*x^2+10*P*x^ 3+3*x^4-4*P^2*x-6*P*x^2-3*x^3+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^4+x^3+x-1)/((x^6-x^ 5+x^4)*C+x^5-x^4+2*x^3-x^2+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+( -445*n^2+3743*n-5436)*a(n-2)+(1469*n^2-14455*n+28728)*a(n-3)+(-3231*n^2+35583*n -86712)*a(n-4)+(5771*n^2-68941*n+193524)*a(n-5)+(-9195*n^2+117789*n-367560)*a(n -6)+(12594*n^2-171318*n+577800)*a(n-7)+(-14893*n^2+213047*n-758916)*a(n-8)+( 15526*n^2-234590*n+880716)*a(n-9)+(-13862*n^2+220522*n-866652)*a(n-10)+(10472*n ^2-174508*n+709236)*a(n-11)+(-6159*n^2+107577*n-452592)*a(n-12)+(2424*n^2-41394 *n+157116)*a(n-13)+(-127*n^2+53*n+16200)*a(n-14)+(-564*n^2+9288*n-16104)*a(n-15 )+(409*n^2-3749*n-32928)*a(n-16)+(227*n^2-13519*n+154896)*a(n-17)+(-388*n^2+ 14828*n-138600)*a(n-18)+(439*n^2-15575*n+137808)*a(n-19)+(-98*n^2+3334*n-28344) *a(n-20)+(10*n^2-314*n+2496)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 36, a(8) = 76, a(9) = 164, a(10) = 364, a(11) = 834, a(12) = 1990, a(13) = 4989, a(14) = 13223, a(15) = 37135, a(16) = 110227, a(17) = 343582, a(18) = 1115153, a(19) = 3736820, a(20 ) = 12833048, a(21) = 44904209, a(22) = 159398008}, [1, 1, 2, 4, 8, 17, 36, 76, 164, 364, 834, 1990, 4989, 13223, 37135, 110227, 343582, 1115153, 3736820, 12833048, 44904209, 159398008, 572195263, 2072447893, 7561145009, 27754493315, 102407021176, 379557186378, 1412343953876, 5273881579165, 19755664336225, 74215467275277, 279530023624292, 1055355707759300, 3993218841087921, 15140101408829018, 57511121573147986, 218844314444342626, 834119081088738491, 3184082487694270026, 12172017657024409455, 46593490850236721601, 178582180137084170110, 685282977811114148826, 2632643846941792957522, 10124611001821770464610, 38976646015737681940216, 150192465245669590409521, 579280280772073999521208, 2236181903597285924996815], 1814176077319676874784828\ 7836172267642394489409879455413577208636342713908880342852709694607298124232592\ 8088286259141927804751761739772165400722331198805238702691542121887627541578808\ 4633729619332736819605118101567859429133111611178068406115609983325548787684979\ 0476173045261809204130570760359230813185946911567100710403062786754710381866132\ 4680161089078804185495127523653470180740988442924083081305834424247102633679559\ 3490988347754333874772699475421223802325335528733175892531547746309997903399787\ 2141558429587502328979216102499713462808505809486225536853545524029558964250358\ 11734426615562032] ---------------------------- (A,B)= , {2, 4}, {2, 3, 4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9-4*P*x^8+x^9+3*P^2*x^6+2*x^8+3*P^2*x^5-6*P*x^6-2*P^2* x^4-3*P*x^5+3*x^6+2*P^2*x^3+4*P*x^4-P^2*x^2-2*P*x^3-2*x^4-2*P^2*x+4*P*x^2+P^2+2 *P*x-2*x^2-2*P+1, (C*x^5+x^4+x^2-1)/(C*x^5+x^4+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14 *n-13)*(n-6)*a(n-1)+(-203*n^2+1771*n-2520)*a(n-2)+(194*n^2-2032*n+3672)*a(n-3)+ (314*n^2-3550*n+9840)*a(n-4)+(-681*n^2+8427*n-25248)*a(n-5)+(433*n^2-4901*n+ 14184)*a(n-6)+(-60*n^2+534*n-1728)*a(n-7)+(-652*n^2+8102*n-22296)*a(n-8)+(695*n ^2-9811*n+30840)*a(n-9)+(-38*n^2-386*n+9168)*a(n-10)+(18*n^2-2502*n+23280)*a(n-\ 11)+(52*n^2+4312*n-60672)*a(n-12)+(136*n^2-3830*n+28800)*a(n-13)+(30*n^2-762*n+ 5592)*a(n-14)+(-88*n^2+3176*n-27696)*a(n-15)+(348*n^2-12018*n+103368)*a(n-16)+2 *(n-17)*(59*n-1236)*a(n-17)+12*(5*n-82)*(n-18)*a(n-18)+18*(9*n-148)*(n-19)*a(n-\ 19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5 ) = 6, a(6) = 11, a(7) = 21, a(8) = 40, a(9) = 79, a(10) = 162, a(11) = 351, a( 12) = 814, a(13) = 2044, a(14) = 5569, a(15) = 16342, a(16) = 50949, a(17) = 166283, a(18) = 561004, a(19) = 1938274, a(20) = 6813612}, [1, 1, 2, 3, 6, 11, 21, 40, 79, 162, 351, 814, 2044, 5569, 16342, 50949, 166283, 561004, 1938274, 6813612, 24264126, 87280116, 316498358, 1155398430, 4241887255, 15650335371, 57991954595, 215716929631, 805197499047, 3014942155188, 11321181316093, 42622142555578, 160848762205353, 608356854550803, 2305610712272091, 8754613745660039, 33300801974585440, 126878527060344325, 484162706285685462, 1850217137156699280, 7080182032294104840, 27128267419522636782, 104069654768835208852, 399688571415683263236, 1536697502807698486685, 5914249589244499514836, 22784156887345817601494, 87855197049510875609242, 339065640758824018099152, 1309676288624411484094103], 1086782575861914663326603\ 8500263103696500214383362848460268100049441149878564636973428879965864023863001\ 6939458176273106347001120670007079009951909833190209188324417728596632943461634\ 2189467143734377416825040251543299489629128861936824005218565260788405713871379\ 0053217771038192121556375204949856836880622827722134641631160726902329972063561\ 9973440887758929798629451516613976396926800587323161614506058944649448865389238\ 1066555268725741844117341675603238232778992486093630203784311179874888600754665\ 2614857525335956434793890432877823066232434359314947488333294824405538690748667\ 48098533459047224] ---------------------------- (A,B)= , {2, 4}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^8+4*P^2*x^6-3*P^2*x^5+2*P^2*x^4+3*P*x^5-2*P^2*x^3+ P^2*x^2+2*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^6+x^5+x^3+x-1), {-5*n*(n-5)*a( n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(374*n^2-3688*n+6984) *a(n-3)+(-390*n^2+4062*n-8952)*a(n-4)+(501*n^2-5379*n+13008)*a(n-5)+(-651*n^2+ 7185*n-18444)*a(n-6)+(792*n^2-8526*n+20832)*a(n-7)+(-868*n^2+10328*n-28956)*a(n -8)+(586*n^2-7520*n+23952)*a(n-9)+(-598*n^2+7730*n-25368)*a(n-10)+(502*n^2-7190 *n+26484)*a(n-11)+(-300*n^2+4074*n-14328)*a(n-12)+(194*n^2-4066*n+20304)*a(n-13 )+(n+4)*(29*n-249)*a(n-14)+(98*n^2-2068*n+10944)*a(n-15)+(34*n^2-602*n+2568)*a( n-16)+3*(n-12)*(7*n-89)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 15, a(8) = 26, a(9) = 48, a( 10) = 94, a(11) = 202, a(12) = 483, a(13) = 1283, a(14) = 3734, a(15) = 11641, a(16) = 38073, a(17) = 128651, a(18) = 444623}, [1, 1, 2, 3, 5, 9, 15, 26, 48, 94, 202, 483, 1283, 3734, 11641, 38073, 128651, 444623, 1561701, 5552677, 19933750, 72127940, 262730165, 962516877, 3543953417, 13106883713, 48667322795, 181355201404, 678001814951, 2542226195854, 9558083962226, 36025110721116, 136092304022327, 515206240830821, 1954257066744125, 7426360305130362, 28269026005700784, 107779996648015364, 411542342075030699, 1573622169503456726, 6025041550466040474, 23097258417911792367, 88648532169838383489, 340616568924628799093, 1310139877486105344832, 5044333264833690425212, 19440274334942084061998, 74988283801387930628811, 289506408836376635682223, 1118611638399403804614119], 939570075637933841616280064239122918040890968529886\ 1834064387576917404545555247153193183293299595632975338749123744057479330250449\ 7581674759056808653846801173665659195268781245289376577576863556088210521548886\ 5130137282905355490187205404081621459557247134086852303720007652467541251597390\ 5331326964503371730415336348847370790611210835008682308407495175360459187666963\ 6803806052602172072707407206085119046472390040557074176001470492047805454336039\ 1591367213189081818232679124595430386200402856170118289520170521311737564939201\ 189415051645584450181183444200346622040491655771562210204078607120394] ---------------------------- (A,B)= , {2, 5}, {} [P^2*x^3-2*P*x^4+x^5+6*P^2*x^2-9*P*x^3+4*x^4-5*P^2*x-4*P*x^2+5*x^3+P^2+8*P*x-x^ 2-2*P-3*x+1, ((x^3+x^2-x)*C-x^3-2*x^2-x+1)/((2*x^2-x)*C-x^2-2*x+1), {-3*n*(n-3) *a(n)+(49*n^2-231*n+176)*a(n-1)+(-318*n^2+2022*n-2688)*a(n-2)+(1031*n^2-8205*n+ 14896)*a(n-3)+(-1684*n^2+16080*n-36272)*a(n-4)+(1098*n^2-12204*n+32112)*a(n-5)+ (170*n^2-2556*n+10360)*a(n-6)+(-330*n^2+5454*n-22680)*a(n-7)+(6*n^2-240*n+1680) *a(n-8)+4*(2*n-19)*(n-10)*a(n-9) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a (5) = 13, a(6) = 35, a(7) = 97, a(8) = 276, a(9) = 805}, [1, 1, 2, 5, 13, 35, 97, 276, 805, 2404, 7343, 22916, 72980, 236857, 782275, 2625265, 8938718, 30834165, 107608097, 379454447, 1350434278, 4845475311, 17512579630, 63703732426, 233063976059, 857067469749, 3166309373615, 11745982220846, 43736933794243, 163409819344676, 612415062653080, 2301627415153461, 8672479097155517, 32755202434296043, 123984146212620561, 470251102237219228, 1786931561888319841, 6802111091955394040, 25935000481117133188, 99035202677825435351, 378714703735090725951, 1450161164914390585861, 5559907771213558938638, 21341984205122852560893, 82014231825056416720796, 315503776035235853259224, 1214944984225803265071151, 4682988152685541482167655, 18066884936114900040405865, 69761879491768621433998564], 5745795992269380943940\ 5632928006766718230746937712435554960262041608051051189735542659849478438346446\ 8219685579304178356530528726554959187765576531052315855381189276320891299236376\ 7679945193516450379563817157611004524452025308392013778495067696813594601352958\ 2741481088080538063183440937127497492414448929327909677106840749698518636168010\ 8273009337239440684720885814785823047604460421448127559954135200817479723576571\ 8827202926621456860361954822842603666421635193761290442578029545068031867531457\ 3454772379743780609302713906587215239180466767760926401234663918507348337907227\ 754183116849281198112] ---------------------------- (A,B)= , {2, 5}, {1} [P^2*x^7-P^2*x^5+7*P^2*x^4-2*P*x^5-9*P^2*x^3-2*P*x^4+9*P^2*x^2+5*P*x^3-5*P^2*x-\ 10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, ((x^2-x)*C-x^2-x+1)/((x^4-x^3+2*x^2-x)* C-x^4-2*x+1), {-3*n*(n-3)*a(n)+(49*n^2-231*n+176)*a(n-1)+(-330*n^2+2076*n-2748) *a(n-2)+(1208*n^2-9330*n+16684)*a(n-3)+(-2698*n^2+24252*n-52820)*a(n-4)+(3964*n ^2-39810*n+99092)*a(n-5)+(-4057*n^2+44457*n-121796)*a(n-6)+(2914*n^2-35472*n+ 108860)*a(n-7)+(-1362*n^2+20034*n-75696)*a(n-8)+(373*n^2-8457*n+44420)*a(n-9)+( -64*n^2+3756*n-27080)*a(n-10)+(50*n^2-2226*n+16192)*a(n-11)+(-8*n^2+276*n-1936) *a(n-12)-6*(n-9)*(n-12)*a(n-13)+12*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 29, a(7) = 73, a(8) = 192, a(9) = 526, a(10) = 1498, a(11) = 4426, a(12) = 13529, a(13) = 42636, a(14) = 138016}, [1, 1, 2, 5, 12, 29, 73, 192, 526, 1498, 4426, 13529, 42636, 138016, 457227, 1544924, 5308200, 18498265, 65240584, 232450128, 835464067, 3025436257, 11027588277, 40425093583, 148938070149, 551187536315, 2047980374321, 7636777292564, 28569530488501, 107195430978137, 403290826865741, 1521010582928565, 5749535444642499, 21779339454006604, 82661132419459909, 314299138105948083, 1197062751292356715, 4566406615872851303, 17445076457528738765, 66737903522512876854, 255645373901888583950, 980474844019355316034, 3764768930687436748561, 14471589153705121506941, 55685871459744192713883, 214487281592775117336182, 826921700840294082678385, 3190903932078038482495298, 12323417755331246214844109, 47632087538429335800526696], 40684503620523852388639422833857233511201085801996\ 5073634251859400443517838410732256692252390985537431463894660791078874027930723\ 1948475442084234299621798648100115833133459245292590239450479660657381802220448\ 3616380925440764236592522555028479881344643518566763357818598637207901451189291\ 9405874112193068888345892184371131255283206706464775963114662028330102868879803\ 0700784257414968997170974865057134510448572281641410215178101414062811021724865\ 1615365244914303597370082463630572352658604512880185305087110050047904522694866\ 782691842388632628346762559371935431550826569708188508155692121325709821] ---------------------------- (A,B)= , {2, 5}, {2} [P^2*x^5+2*P^2*x^4-2*P*x^5+3*P^2*x^3-4*P*x^4+x^5-2*P^2*x^2-3*P*x^3+2*x^4-2*P^2* x+6*P*x^2+P^2+2*P*x-3*x^2-2*P+1, ((x^3-x)*C-x^3-x^2+1)/((x^3+x^2-x)*C-x^3-x^2-x +1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)-11*(11*n-20)*(n-5)*a(n-2)+(87*n^ 2-837*n+1512)*a(n-3)+(277*n^2-2409*n+5432)*a(n-4)+(-356*n^2+3954*n-10996)*a(n-5 )+(-192*n^2+2034*n-5208)*a(n-6)+(244*n^2-3966*n+15716)*a(n-7)+(46*n^2+66*n-3712 )*a(n-8)+(-9*n^2+675*n-5232)*a(n-9)+(54*n^2-1314*n+7776)*a(n-10)+10*(n-11)*(5*n -56)*a(n-11)+12*(2*n-21)*(n-12)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 38, a(8) = 90, a(9) = 227, a(10) = 610, a(11) = 1740, a(12) = 5231}, [1, 1, 2, 4, 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412, 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621 , 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881, 21251652820815936901293000], 18708168091189010993914\ 8135649577368391614441217603533634725407719089545782877599211114407096526076058\ 6513234016776925523168655354615593581819668063417687413152298093068736380673981\ 2578573626391467516776551827135089134017451985442884132709448278723058817721593\ 9701878709766457286143490061430269890972199698366411961870115016774022599210654\ 6616507472715301073307819133122433361311133929925045281547060509474060587581344\ 7513997261612575399649318029506561812554586970930146801247511320270710538092770\ 9857882709580010321200176635270837074571026466673576705413751782685547993043591\ 87573879728806991965] ---------------------------- (A,B)= , {2, 5}, {3} [9*P^2*x^3-12*P*x^4+4*x^5+4*P^2*x^2-19*P*x^3+11*x^4-8*P^2*x+4*P*x^2+6*x^3+2*P^2 +12*P*x-6*x^2-4*P-4*x+2, ((x^3+x^2-x)*C-2*x^3-3*x^2+1)/((2*x^2-x)*C-3*x^2-x+1), {-12*n*(n-3)*a(n)+(176*n^2-840*n+640)*a(n-1)+(-972*n^2+6300*n-8400)*a(n-2)+( 2386*n^2-19590*n+35840)*a(n-3)+(-1910*n^2+20046*n-46480)*a(n-4)+(-1890*n^2+ 18246*n-47880)*a(n-5)+(3264*n^2-41520*n+135840)*a(n-6)+(-175*n^2+5745*n-35480)* a(n-7)+(-816*n^2+13050*n-51600)*a(n-8)+216*(2*n-19)*(n-10)*a(n-9) = 0, a(1) = 1 , a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 197, a( 9) = 522}, [1, 1, 2, 5, 12, 30, 76, 197, 522, 1418, 3956, 11354, 33554, 102104, 319608, 1027237, 3381714, 11371366, 38946892, 135505958, 477781296, 1703671604, 6132978608, 22256615602, 81327116484, 298938112816, 1104473254912, 4098996843500, 15272792557230, 57106723430892, 214202598271360, 805743355591301 , 3038709078709154, 11486931162479046, 43516779411950476, 165186096907176718, 628187703779771768, 2393025135025821876, 9130530443915099368, 34889126031530007510, 133502232292984504044, 511510221504763404700, 1962248040156187477112, 7536275193435038885260, 28975767992475294332676, 111522620358280477892800, 429652446680256323752528, 1656823649834823861271490, 6394696841405144683690164, 24701868411656364250354460], 20670412668886880369756\ 3910149471018410234909842802737016787369047592453889344231097327913839553160879\ 4687230214115530033886449306276221896353140574532159508775796063470529611260959\ 2144071253268740768799255124085451336918167481318568624733934344796469997551670\ 2883222836399602578856381288493701719034006469505607829914422306374486956583287\ 2041369279237638190273042265799873666715328419471743355677559471528370396537756\ 5610245595446381397669713773302812316599268658590767198187450526395827097523494\ 9128885808098262038828107970983945938278351059640565522239761328534386859547960\ 91555906875131572960] ---------------------------- (A,B)= , {2, 5}, {4} [P^2*x^6-4*P^2*x^5+11*P^2*x^4-18*P^2*x^3-3*P*x^4+17*P^2*x^2+12*P*x^3-7*P^2*x-22 *P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2*x+1)/((x^3-x^2)*C-x^3+2*x^2-3* x+1), {4*n*(n-4)*a(n)+(-80*n^2+452*n-360)*a(n-1)+(682*n^2-4936*n+6936)*a(n-2)+( -3246*n^2+28440*n-54624)*a(n-3)+(9510*n^2-97116*n+230664)*a(n-4)+(-17915*n^2+ 207149*n-575502)*a(n-5)+(22223*n^2-283865*n+887886)*a(n-6)+(-18575*n^2+256703*n -878418)*a(n-7)+(10760*n^2-158732*n+583704)*a(n-8)+(-4373*n^2+68375*n-267498)*a (n-9)+(1220*n^2-20318*n+84684)*a(n-10)-3*(n-9)*(65*n-602)*a(n-11)+6*(n-10)*(2*n -21)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 97, a(8) = 275, a(9) = 795, a(10) = 2340, a(11) = 7007, a(12) = 21336}, [1, 1, 2, 5, 13, 35, 97, 275, 795, 2340, 7007, 21336, 66041, 207728, 663731, 2153257, 7088374, 23661127, 80022427, 273964776, 948607312, 3318826310, 11721773971, 41757381378, 149915662384, 542005726822, 1971976439917, 7215516334423, 26537257557809, 98050389812546, 363792363702652, 1354869326416041, 5063250326105267, 18980857722922083, 71357331195209287, 268963435460332924, 1016218853148221856, 3848030358163765674, 14600707421480592470, 55504511390149678403, 211369987424701594448, 806244334288970167195, 3080003742555785301073, 11782962834388720907423, 45137548753218051934264, 173127746806690126527235, 664827225954642963863540, 2555849422189437123614681, 9836021487520148977252572, 37891080173986325257145915], 28726968176107081458958865012421358340130297792052\ 5043476467001366333907796100357547552497588094207644765371105069895121347493060\ 9753456116155543943765066979858488201723634944583344357194658665087780928942142\ 7662582098465340009869711616285729292194736634039111564363617714086675249831862\ 3077197859022783396863201219809433790031434052652745797355377845147504897693489\ 0410069925832318631934846562380764442607818409689108170606340781924681037923187\ 1260641430566277195419332364450609718208652772407304413388752752707628602609140\ 408329620971702244920073954884902946335085726488138498401725666160136225] ---------------------------- (A,B)= , {2, 5}, {5} [4*P^2*x^5-4*P*x^6+x^7-P^2*x^4-3*P*x^5+2*x^6-12*P^2*x^3+12*P*x^4-2*x^5+16*P^2*x ^2+2*P*x^3-4*x^4-7*P^2*x-20*P*x^2+5*x^3+P^2+12*P*x+5*x^2-2*P-5*x+1, ((x^4+x^3-x ^2)*C-x^2-2*x+1)/((2*x^3-x^2)*C+x^2-3*x+1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552 )*a(n-1)+(-864*n^2+7152*n-10488)*a(n-2)+(4064*n^2-40018*n+80784)*a(n-3)+(-11369 *n^2+129295*n-324360)*a(n-4)+(18866*n^2-242482*n+714672)*a(n-5)+(-16605*n^2+ 237171*n-787788)*a(n-6)+(3495*n^2-54657*n+179580)*a(n-7)+(6156*n^2-105486*n+ 466320)*a(n-8)+(-4552*n^2+86180*n-414960)*a(n-9)+(315*n^2-9261*n+66204)*a(n-10) +2*(214*n-1511)*(n-12)*a(n-11)+(-112*n^2+2816*n-17712)*a(n-12)+32*(2*n-27)*(n-\ 14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 13, a(6) = 35, a(7) = 96, a(8) = 267, a(9) = 751, a(10) = 2134, a(11) = 6124, a(12) = 17751, a (13) = 51993}, [1, 1, 2, 5, 13, 35, 96, 267, 751, 2134, 6124, 17751, 51993, 153983, 461455, 1400424, 4307259, 13435512, 42525951, 136629617, 445618655, 1475132271, 4954011514, 16867552635, 58176634850, 203060518029, 716527849673, 2553380347666, 9179709093202, 33262470411787, 121368743742278, 445592810746904, 1644899158911866, 6101525651129273, 22729967823024401, 84999258587914927, 318940796715716508, 1200413047372199543, 4530489682839662216, 17141132011956589007, 65000274983999280171, 246994137137135270680, 940327786177410086516, 3586144644923302278327, 13698558699936326536726, 52404650094388000600858, 200755617030081174096130, 770066885511714233391397, 2957441586558685324496113, 11370998876971983013905993], 81256750461300350310011\ 7714631012577941062732162900020119308907598269093178797002080508838953064566775\ 4705946612834487661063288611012648326720833877442253835607729630326619390493564\ 2371228992675347333683534288662226550722458434095516926883424837988283873351494\ 0799048492911408440370874802465967482954186478506619732064295521925096986377257\ 0821308546886900364777203546418880786868522840260341600871390281505490223780197\ 5834932680179660582707454201370359925643999677043156636490689801481113076331137\ 4873189309759974621754273938980062965676544473571354327766742724580969803008180\ 0760924437447529517] ---------------------------- (A,B)= , {2, 5}, {1, 2} [P^2*x^7+2*P^2*x^6+3*P^2*x^4-3*P^2*x^3+P^2*x^2+3*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, (-C*x+1)/((x^4+x^2-x)*C-x^4-x^3-x+1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1) +(-133*n^2+879*n-1160)*a(n-2)+(225*n^2-1737*n+2976)*a(n-3)+(-250*n^2+1932*n-\ 3536)*a(n-4)+(364*n^2-2868*n+5288)*a(n-5)+(-375*n^2+3429*n-7632)*a(n-6)+(194*n^ 2-1884*n+4696)*a(n-7)+(-165*n^2+1719*n-4632)*a(n-8)+(42*n^2-864*n+3624)*a(n-9)+ (34*n^2-330*n+704)*a(n-10)+3*(n-8)*(7*n-61)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 27, a(8) = 61, a(9) = 150, a(10) = 403, a(11) = 1169, a(12) = 3599}, [1, 1, 2, 4, 7, 13, 27, 61, 150, 403, 1169, 3599, 11583, 38512, 131156, 454808, 1599406, 5688009, 20415648, 73846144, 268886415, 984707531, 3624429705, 13400417688, 49743616734, 185320438006, 692673217903, 2596721440785, 9761212961994, 36784690629965, 138940976231430, 525918303654136, 1994637613858311, 7578926166859712, 28846663593991367, 109971293234561821, 419870252303286763, 1605325688219597732, 6145925314433550567, 23558867713766553985, 90413708492115390228, 347375421686049671367, 1336051622010117627803, 5143788865316981719561, 19822432663526460089890, 76458271313870619630230, 295166414614522725772103, 1140425444350935745380041, 4409690365449923031935746, 17063784798631395945896465], 15252075336337395324193628415535711454286980823254\ 2335018448355909761379520884513521092650467757162098367111690911632281166833513\ 7167317878833740934723432633921271384402850530504145899816362629260328453760837\ 0460962030903490402033500418896698196516446243886551237095968907556954712040906\ 9597068408479935229555857648940908498393302063893288888775799653746547470252661\ 8642264931494534278529036400012836094257039424944022704348700907480073077559002\ 8742352709958764234799412025555519429029731939301832811071890402949910293695962\ 248071120419556501079500459047645842496056224872653229775831055829162758] ---------------------------- (A,B)= , {2, 5}, {1, 3} [4*P^2*x^7-5*P^2*x^6+10*P^2*x^5-2*P^2*x^4-8*P*x^5-3*P^2*x^3+6*P*x^4+9*P^2*x^2-5 *P*x^3-8*P^2*x-6*P*x^2+4*x^3+2*P^2+12*P*x-x^2-4*P-4*x+2, ((x^2-x)*C-2*x^2+1)/(( x^4-x^3+2*x^2-x)*C-2*x^4+x^3-2*x^2-x+1), {-12*n*(n-3)*a(n)+(176*n^2-840*n+640)* a(n-1)+(-1012*n^2+6480*n-8600)*a(n-2)+(2918*n^2-23046*n+41440)*a(n-3)+(-4487*n^ 2+41691*n-91996)*a(n-4)+(3483*n^2-37959*n+99396)*a(n-5)+(-532*n^2+14112*n-60944 )*a(n-6)+(-2018*n^2+4212*n+55856)*a(n-7)+(2705*n^2-8727*n-75068)*a(n-8)+(-1850* n^2+6810*n+52088)*a(n-9)+(1362*n^2-14070*n+29736)*a(n-10)+(-1302*n^2+24648*n-\ 118704)*a(n-11)+(1384*n^2-30060*n+162824)*a(n-12)+(-800*n^2+17184*n-92128)*a(n-\ 13)+192*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a( 5) = 11, a(6) = 24, a(7) = 54, a(8) = 127, a(9) = 311, a(10) = 797, a(11) = 2145, a(12) = 6070, a(13) = 18017, a(14) = 55820}, [1, 1, 2, 5, 11, 24, 54, 127 , 311, 797, 2145, 6070, 18017, 55820, 179385, 594097, 2015771, 6972565, 24491046, 87090821, 312816928, 1132935119, 4131811581, 15158359352, 55897466790 , 207053844707, 770019120790, 2873838461214, 10759991097832, 40403595319101, 152116131331509, 574091891447461, 2171473215006712, 8230394994298085, 31254656822004938, 118899092315604541, 453064568156424603, 1729070389898570926, 6608365569922566804, 25291000419572873339, 96915609319443488382, 371830901104344673796, 1428210425830419772268, 5491705302877932961401, 21138103323116897344947, 81441533648630956973131, 314069730140125524490279, 1212235633130684292951254, 4682856415474837376306337, 18104258123226625631810646], 15610457415471489733007579990371610049892106427777\ 8776700504021206212134458687356401619609518999560055530684658107104173194674695\ 0920879964153845178916379903623115740280392738585193132577490486916602526279029\ 5756749936177943465416686080108310796723650632961915997066294570576933390026599\ 3051333923237588683240894670450690956245057714540833806901785893272133114986982\ 1462370808683965312155086401910770961482662774046338755505707900533222271854749\ 0089681800226413376017482060978467153295471618145844986005175454414200871094290\ 941421247039616156196243944526375914250480576603947535503884805952076115] ---------------------------- (A,B)= , {2, 5}, {1, 4} [4*P^2*x^6-13*P^2*x^5+24*P^2*x^4+4*P*x^5-27*P^2*x^3-15*P*x^4+19*P^2*x^2+26*P*x^ 3+x^4-7*P^2*x-26*P*x^2-4*x^3+P^2+12*P*x+8*x^2-2*P-5*x+1, (-C*x^2+x^2-2*x+1)/((x ^3-x^2)*C-2*x^3+3*x^2-3*x+1), {4*n*(n-4)*a(n)+(-80*n^2+452*n-360)*a(n-1)+(694*n ^2-5008*n+7032)*a(n-2)+(-3457*n^2+30079*n-57630)*a(n-3)+(11057*n^2-111695*n+ 264054)*a(n-4)+(-24110*n^2+275078*n-759408)*a(n-5)+(37202*n^2-469298*n+1459800) *a(n-6)+(-41547*n^2+570165*n-1948878)*a(n-7)+(33770*n^2-498290*n+1838640)*a(n-8 )+(-19574*n^2+307952*n-1210632)*a(n-9)+(7545*n^2-125679*n+520026)*a(n-10)+(-\ 1540*n^2+26518*n-111276)*a(n-11)+(-16*n^2+976*n-8784)*a(n-12)+32*(2*n-23)*(n-12 )*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 29, a( 7) = 73, a(8) = 191, a(9) = 516, a(10) = 1436, a(11) = 4114, a(12) = 12124, a( 13) = 36711}, [1, 1, 2, 5, 12, 29, 73, 191, 516, 1436, 4114, 12124, 36711, 114041, 362790, 1179496, 3910673, 13194280, 45206734, 156991036, 551638672, 1958325673, 7014462947, 25321685734, 92036646140, 336544783063, 1237189851572, 4569661400240, 16949880467231, 63109783923325, 235783348622049, 883643284674833 , 3320991194168323, 12513543566116368, 47263154764134359, 178901459438698496, 678550457360771666, 2578480048032697076, 9815261480612422910, 37423589106454369461, 142905370673275848509, 546474294946605588588, 2092528553755556500776, 8022676992712738874855, 30795146149771278357074, 118340042113503067958906, 455241085725494993747245, 1753021951364746611472415, 6756895466522133625887987, 26067563539642464699798157], 20718845408096493603915\ 3403109692016156465945212985846744025710523242560023095543501116608638783078155\ 6211706754562549044339015169138513079963948817871787510529929216376322373193032\ 3792942749609374710501607504735881741232116525762490224961551236219345198877200\ 0917421624372652973636752810410521269161733627634970082074156719113042122322036\ 3276541228700544737365787201965944988768692202203299665439898455405985318577777\ 1401436658913555859385326945645970785147355380342864316010777944949097984791175\ 7552916149991087295511492104663860997891007887282230442047251613114531779426719\ 21423205023287314312] ---------------------------- (A,B)= , {2, 5}, {1, 5} [P^2*x^9-2*P^2*x^8+4*P^2*x^7-2*P^2*x^6-2*P*x^7-5*P^2*x^5+4*P*x^6+15*P^2*x^4-3*P *x^5-22*P^2*x^3-4*P*x^4+x^5+18*P^2*x^2+18*P*x^3-2*x^4-7*P^2*x-24*P*x^2-x^3+P^2+ 12*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x+1)/((x^5-x^4+2*x^3-x^2)*C-x^3+2*x^2-3* x+1), {-5*n*(n-5)*a(n)+(101*n^2-673*n+552)*a(n-1)+(-880*n^2+7268*n-10656)*a(n-2 )+(4356*n^2-42642*n+85992)*a(n-3)+(-13601*n^2+153031*n-383016)*a(n-4)+(28179*n^ 2-356091*n+1046256)*a(n-5)+(-39759*n^2+554181*n-1844652)*a(n-6)+(38481*n^2-\ 584721*n+2155380)*a(n-7)+(-24670*n^2+411212*n-1674336)*a(n-8)+(8211*n^2-167055* n+813480)*a(n-9)+(2085*n^2-783*n-167196)*a(n-10)+(-4599*n^2+51981*n-63636)*a(n-\ 11)+(3060*n^2-37302*n+54504)*a(n-12)+(-1278*n^2+16194*n-23184)*a(n-13)+(422*n^2 -7306*n+28248)*a(n-14)+(-219*n^2+5925*n-40476)*a(n-15)+(158*n^2-4654*n+34248)*a (n-16)-6*(13*n-188)*(n-15)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 1, a( 2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 29, a(7) = 72, a(8) = 183, a(9) = 474, a(10) = 1250, a(11) = 3358, a(12) = 9199, a(13) = 25730, a(14) = 73578, a( 15) = 215357, a(16) = 645654, a(17) = 1983180, a(18) = 6238326}, [1, 1, 2, 5, 12, 29, 72, 183, 474, 1250, 3358, 9199, 25730, 73578, 215357, 645654, 1983180, 6238326, 20075995, 65997748, 221213576, 754457444, 2612745571, 9169356015, 32551703277, 116709428859, 422020895856, 1537255954979, 5635237929683, 20771714688873, 76935428221454, 286169923841306, 1068453881930645, 4002633681789650, 15039922373460898, 56666805498739876, 214036171415320835, 810266328532169365, 3073758725651215788, 11682681364907775308, 44481968719371240299, 169644303481525275892, 647976914864380829319, 2478569370811051350719, 9493462910150512325270, 36407832981434369086260, 139791081494356185180050, 537340187078136231634076, 2067653208518857826890957, 7964162862244030669900568], 598633123723875513517525277140644490789488499099492\ 4914406584277974032621470059779131012045215675545905033719081778715914710452795\ 7852143091109937409680712958073626512223721374783373595958207126080251930826584\ 8681765210415212062000152502279441113187397139795503140124478139669904550237881\ 5136669914682602387092071262023384441726294440758382244101487252043741940543616\ 0805473175755665610313536960654596946546890550731347064389251809019854356835187\ 8767231373644848894500762148256130666973826412479545686556972713423327871302065\ 9056734232329588655679902990673577923337218210072660536479749778647724] ---------------------------- (A,B)= , {2, 5}, {2, 3} [4*P^2*x^5+7*P^2*x^4-8*P*x^5+2*P^2*x^3-10*P*x^4+4*x^5-5*P^2*x^2+3*P*x^3+3*x^4-3 *P^2*x+12*P*x^2-4*x^3+2*P^2+2*P*x-5*x^2-4*P+x+2, ((x^3-x)*C-2*x^3-x^2+x+1)/((x^ 3+x^2-x)*C-2*x^3-2*x^2+1), {-6*n*(n-3)*a(n)+(63*n^2-315*n+240)*a(n-1)+(-190*n^2 +1323*n-1760)*a(n-2)+(25*n^2-402*n+620)*a(n-3)+(519*n^2-4935*n+11652)*a(n-4)+(-\ 126*n^2+2433*n-8952)*a(n-5)+(-712*n^2+7995*n-22556)*a(n-6)+(-27*n^2-2280*n+ 17316)*a(n-7)+(357*n^2-3843*n+7044)*a(n-8)+(n^2+2388*n-21352)*a(n-9)+(20*n^2-\ 606*n+4276)*a(n-10)+(304*n^2-6864*n+38672)*a(n-11)+96*(2*n-21)*(n-12)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 14, a(7) = 28, a(8) = 59, a(9) = 133, a(10) = 322, a(11) = 845, a(12) = 2392}, [1, 1, 2, 4, 7, 14, 28, 59, 133, 322, 845, 2392, 7226, 22979, 75933, 258065, 895326, 3154560, 11247789, 40486499, 146867285, 536257124, 1969022613, 7265171330, 26922181418, 100147825155, 373827733379, 1399774910319, 5256299096874, 19789372972927, 74683115032122, 282468914105932, 1070546297432263, 4065026463828262, 15462784896272292, 58915222215635923, 224820984437203123, 859160083155224139, 3287770310999249178, 12597505035332687423, 48327221519691318346, 185607053690455106866, 713618298909758348535, 2746514573963667121695, 10580829564958805524967, 40799848308433864212050, 157463193250061754405543, 608223603271024481534490, 2351226534136598127149628, 9096138843689547199386175] , 80547623709620672216905523450042212014710180825397234192005325230638139482806\ 1741193533902882410317885510618821646180467576369804177581633624301427007354942\ 3900550952828512153094589160394277653658384195933819169733820439909717657984991\ 1264381063205382636620016963989777864296368488376412730263866332253839706781771\ 6276561992463943989307506962786435975329040529295074551204158610494599343194715\ 5093977482412371070321425265861015895107710298771723446572862040165728702924015\ 1608342017401023623344544247068094599637635119037941388506479407617550036889561\ 05733123258656882108974061776460413853127484] ---------------------------- (A,B)= , {2, 5}, {2, 4} [P^2*x^6-2*P^2*x^5+5*P^2*x^4-8*P^2*x^3-P*x^4+9*P^2*x^2+4*P*x^3-5*P^2*x-10*P*x^2 +x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^3-x^2)*C-x^3+x^2-2*x+1), {4*n* (n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(452*n^2-3314*n+4644)*a(n-2)+(-1692*n^2+ 14922*n-28524)*a(n-3)+(3862*n^2-39352*n+92592)*a(n-4)+(-5719*n^2+65269*n-178206 )*a(n-5)+(5783*n^2-71957*n+218646)*a(n-6)+(-4219*n^2+56023*n-183858)*a(n-7)+( 2346*n^2-32754*n+113916)*a(n-8)+(-1033*n^2+15079*n-54906)*a(n-9)+(338*n^2-5336* n+20952)*a(n-10)+(-57*n^2+1023*n-4578)*a(n-11)+2*(n-10)*(2*n-21)*a(n-12) = 0, a (1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 38, a(8) = 89, a(9) = 219, a(10) = 567, a(11) = 1544, a(12) = 4412}, [1, 1, 2, 4, 8, 17, 38, 89, 219, 567, 1544, 4412, 13175, 40895, 131187, 432527, 1458529, 5009761, 17469380, 61680972, 220057420, 791993908, 2871753329, 10480068162, 38460237997, 141839334507, 525382803249, 1953652695248, 7290224263389, 27290499622454, 102455358790677, 385658305170166, 1455196046735031, 5503114871839705, 20854076863065012, 79177883573982942, 301154590971969940, 1147349907439867799, 4378005978574823154, 16729718569582741970, 64016865421544748520, 245278093895870010409, 940913807360149602413, 3613586556042047775593, 13893057411465211566526, 53469150646260879508642, 205983329173927766868693, 794260845290712153275047, 3065328560898692481830317, 11840106459381307215693675 ], 9836262427798581485208248513645535651090233283953527118382649427471048321522\ 9783029277039152285217110351167772586425837109808613405417187796578811358708594\ 4065003795103782584414774238989997396275886698420281171912534556912019322213449\ 5817764251750282809909302817315418383292438441360246162080019460275414877885638\ 1288200511301380578081487619380350298470034470133092951334257053969379834231052\ 6583751713013810779920577412975648994430972326474201906418514684682709487097006\ 7483379155120451465971429067626703098228231099361418437094304521062705798679732\ 267866315956164851414446514628645098251804839] ---------------------------- (A,B)= , {2, 5}, {2, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7-P^2*x^5-2*P*x^6+x^7-4*P^2*x^4+5*P*x^5+6*P*x^4-3*x^5+ 7*P^2*x^2-8*P*x^3-5*P^2*x-6*P*x^2+5*x^3+P^2+8*P*x-2*P-3*x+1, ((x^4-x^2)*C-x^2-x +1)/((x^4+x^3-x^2)*C-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-558*n ^2+4680*n-6828)*a(n-2)+(1929*n^2-19239*n+38580)*a(n-3)+(-3494*n^2+40252*n-99732 )*a(n-4)+(2554*n^2-33314*n+93744)*a(n-5)+(1231*n^2-18383*n+74136)*a(n-6)+(-2742 *n^2+46608*n-195228)*a(n-7)+(-4*n^2-4804*n+38352)*a(n-8)+(1502*n^2-26608*n+ 119004)*a(n-9)+(-72*n^2+5388*n-48000)*a(n-10)+(-437*n^2+6361*n-15528)*a(n-11)+( -46*n^2+326*n+1848)*a(n-12)+(10*n^2+514*n-8472)*a(n-13)+(-20*n^2+688*n-5664)*a( n-14)+6*(7*n-103)*(n-16)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a(8) = 83, a(9) = 192, a(10) = 459, a(11) = 1138, a(12) = 2936, a(13) = 7903, a(14) = 22218, a(15) = 65175, a(16) = 198917}, [1, 1, 2, 4, 8, 17, 37, 83, 192, 459, 1138, 2936, 7903, 22218, 65175, 198917, 628959, 2050153, 6855128, 23407513, 81308699, 286415136, 1020573407, 3671355698, 13312909731, 48602478278, 178470974146, 658671943652, 2441717945560, 9087149807600, 33937859020234, 127149240402589, 477734739086633, 1799671466679912, 6795752854498261, 25717969310894055, 97525337941110410, 370523153672322732, 1410174597352181001, 5375745505630004669, 20524218985491716861, 78472061035063120081, 300432029499383256603, 1151664168013067587651, 4420003754398851129803, 16982747435696406651124, 65321405484883956189121, 251501845646945413997161, 969265212111199370796234, 3738860493752034608391477], 295146147774975477640392951356524746446947972697008\ 3074630184477731694057297764345757973397449882066714252681540276808436710775848\ 1917916605551136738158243188384376062361233766707157571496138708634276213925775\ 3805267632829498853735055825428360643764350294107292265019688390502578124198584\ 3948135208971697006072637620321844723184565717547223209131568370558258188349076\ 1980731198735453196402429650793760053944877607127465507449246194580771462254627\ 7980341556628471643202543213977236763570929809315114610631162925500288446039119\ 9336826957034635425983612470212640942872162556681110256660968629816433] ---------------------------- (A,B)= , {2, 5}, {3, 4} [P^2*x^6-2*P*x^7+x^8-2*P^2*x^5+2*P*x^6-2*P^2*x^4+6*P*x^5-3*x^6+8*P^2*x^3-9*P*x^ 4+x^5+P^2*x^2-14*P*x^3+9*x^4-4*P^2*x+4*P*x^2+4*x^3+P^2+6*P*x-4*x^2-2*P-2*x+1, ( (x^4+x^3)*C-x^4+2*x^2+x-1)/(C*x^3-x^3+x^2+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341* n+270)*a(n-1)+(-322*n^2+2422*n-3396)*a(n-2)+(720*n^2-6738*n+12960)*a(n-3)+(-144 *n^2+2400*n-5664)*a(n-4)+(-1883*n^2+21287*n-60654)*a(n-5)+(1980*n^2-26340*n+ 86568)*a(n-6)+(1196*n^2-16622*n+58728)*a(n-7)+(-2030*n^2+32210*n-130356)*a(n-8) +(206*n^2-5306*n+35868)*a(n-9)+(252*n^2-1536*n-12624)*a(n-10)+(-436*n^2+10408*n -63624)*a(n-11)+(406*n^2-11806*n+85164)*a(n-12)+(5*n^2+43*n-1662)*a(n-13)+(-126 *n^2+3594*n-25500)*a(n-14)+20*(2*n-27)*(n-16)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 196, a(9) = 514, a( 10) = 1373, a(11) = 3742, a(12) = 10426, a(13) = 29752, a(14) = 87086, a(15) = 261696}, [1, 1, 2, 5, 12, 30, 76, 196, 514, 1373, 3742, 10426, 29752, 87086, 261696, 807431, 2555966, 8289015, 27482898, 92940862, 319791198, 1116888067, 3950860734, 14128046980, 50988324292, 185465049004, 679145765928, 2501311961383 , 9258567716706, 34420517879081, 128458594486278, 481054319654005, 1806983106437704, 6806308426088146, 25701302199789156, 97272276871195240, 368919019011031974, 1401875040732260213, 5336555209243494622, 20348419988776644391, 77708604095430120002, 297188674886233010139, 1138100539807235944522, 4363938098664553626136, 16753046990996776621894, 64386810276477113055175, 247719989062791198338278, 954029137853856165114662, 3677698069373328675318548, 14190036857650660248435028], 11363612089820120766965\ 8138737865245040772608611666687512110677672695897833365891002506994723678688550\ 5770772803167029418105665538311669208137526906923421761958326676204000965837663\ 4045776565745313823722187567104180213056012901079908586676155177891940973079968\ 6674026265638502800481342557145887430590027611095670241656141213251059074984308\ 8487925169864184437292075786770615468010084341204075733577235735590678703266697\ 4293783629971931714124923104896649257128860531817511000108206447046811935568993\ 4173886538156817233326794133302493316603813318561406424115109221637339224947336\ 59156972016438005901] ---------------------------- (A,B)= , {2, 5}, {3, 5} [4*P^2*x^5-4*P*x^6+x^7-5*P^2*x^4-P*x^5+2*x^6+2*P^2*x^3+4*P*x^4+6*P^2*x^2-10*P*x ^3+2*x^4-5*P^2*x-4*P*x^2+5*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((x^4+x^3-x^2)*C-x^3-2* x^2-x+1)/((2*x^3-x^2)*C-x^2-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+ (-550*n^2+4622*n-6744)*a(n-2)+(1818*n^2-18216*n+36528)*a(n-3)+(-2909*n^2+33811* n-83592)*a(n-4)+(1090*n^2-15110*n+40752)*a(n-5)+(3073*n^2-41699*n+144204)*a(n-6 )+(-4201*n^2+60863*n-220020)*a(n-7)+(1382*n^2-18628*n+61224)*a(n-8)+(946*n^2-\ 17126*n+73800)*a(n-9)+(-1071*n^2+20013*n-91068)*a(n-10)+(316*n^2-7274*n+42072)* a(n-11)+(-144*n^2+3792*n-25008)*a(n-12)+32*(2*n-27)*(n-14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 75, a(8) = 190, a (9) = 485, a(10) = 1251, a(11) = 3262, a(12) = 8616, a(13) = 23100}, [1, 1, 2, 5, 12, 30, 75, 190, 485, 1251, 3262, 8616, 23100, 63025, 175461, 499783, 1459921, 4380722, 13512623, 42830452, 139310396, 463965618, 1577989827, 5465275103, 19222998679, 68494070049, 246702161648, 896597370435, 3283099248822 , 12097990201057, 44819641700979, 166807600078644, 623286827463606, 2337054759204565, 8789886095435936, 33150274202706686, 125331784698739047, 474903697449799846, 1803164572503756106, 6859272977204023810, 26137913377688152475, 99760589614523603837, 381323934249422380225, 1459597876187605769179, 5594202442922047824396, 21467155425824117264561, 82472862623640003457868, 317190099233256001337417, 1221165109487736919116719, 4705998313742297668756618], 360245522556748646274770331370601456221659492445145\ 3480626958965695385774563090150478880406821511810782104674938104056596149312505\ 6381824603920055491699331077165029100459367860932982284401063947407379574398263\ 9809819346293521950026338852203066513109311722164508680201277699845718622165530\ 6526772937652275939849595171868032390787762804890679486108816119971106659237265\ 1256829760073547821388564637490027728756346072680935222514503883659636512523407\ 6255471783365028999462317997970790649045133105539943969435408697166052597357805\ 1164371384184540396780001497108949509208931617714175862006047116926804] ---------------------------- (A,B)= , {2, 5}, {4, 5} [P^2*x^7-2*P^2*x^6+2*P^2*x^5+2*P*x^6-3*P^2*x^4-P*x^5-2*P^2*x^3+4*P*x^4+x^5+10*P ^2*x^2-8*P*x^3+2*x^4-6*P^2*x-10*P*x^2+6*x^3+P^2+10*P*x+x^2-2*P-4*x+1, (-C*x^3-x ^2-2*x+1)/((x^4-x^3)*C+x^2-3*x+1), {5*n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+( 695*n^2-5797*n+8484)*a(n-2)+(-2750*n^2+27334*n-55056)*a(n-3)+(5937*n^2-68205*n+ 170256)*a(n-4)+(-6226*n^2+80666*n-233328)*a(n-5)+(943*n^2-13181*n+30852)*a(n-6) +(3795*n^2-58173*n+227376)*a(n-7)+(-3010*n^2+44078*n-161568)*a(n-8)+(1137*n^2-\ 11427*n+14868)*a(n-9)+(-306*n^2+282*n+23496)*a(n-10)+(-260*n^2+5914*n-32568)*a( n-11)+(248*n^2-4648*n+21144)*a(n-12)-4*(7*n-38)*(n-12)*a(n-13)-6*(3*n-40)*(n-14 )*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5 , a(5) = 13, a(6) = 35, a(7) = 96, a(8) = 266, a(9) = 743, a(10) = 2091, a(11) = 5929, a(12) = 16945, a(13) = 48845, a(14) = 142131, a(15) = 417913}, [1, 1, 2 , 5, 13, 35, 96, 266, 743, 2091, 5929, 16945, 48845, 142131, 417913, 1243070, 3744750, 11438302, 35461574, 111679165, 357472504, 1163217825, 3847339578, 12927689127, 44094981850, 152514404629, 534277103475, 1893248453271, 6777769136411, 24483949928893, 89147516292982, 326840614794207, 1205532826914224, 4469982329196522, 16650626091117385, 62274402353177874, 233741482239324676, 880103602010508834, 3323187863442398454, 12579774553886460172, 47728768299687751950, 181461764392175275893, 691207821737000447738, 2637440099543188409398, 10079704308319616954764, 38579131658057791484569, 147860123354346994147746, 567418361489687955042108, 2180085864520813023070105, 8385513597264572786298319], 607470982209038603052532\ 6026708378197914770369647076687246581813293485444796412624768209798082424567796\ 0697401536785144439712656498626961260933988221365212083424631053196366360156252\ 6999496403663093178715774893248425075908074074011004369074843254496815571194178\ 9498179834776731511440594986953829071201493777336021195230751576223717871287859\ 4966432394931230735162366751779782938789311483252232727272472791578043985653793\ 7361535082002298377364110227907178739475457630296217158030842946869842313418423\ 1867316217702049687807547455328738169389466425339109296695718796745685455780498\ 555844438891729580] ---------------------------- (A,B)= , {2, 5}, {1, 2, 3} [4*P^2*x^7+3*P^2*x^6+4*P^2*x^5+P^2*x^4-4*P^2*x^3+4*P*x^4+5*P*x^3-3*P^2*x+2*P*x^ 2+2*P^2+2*P*x-4*P+x+2, (-C*x+x+1)/((x^4+x^2-x)*C-2*x^4-x^3-x^2+1), {12*n*(n-3)* a(n)+(-126*n^2+630*n-480)*a(n-1)+(420*n^2-2826*n+3720)*a(n-2)+(-471*n^2+3627*n-\ 5940)*a(n-3)+(278*n^2-1650*n+1744)*a(n-4)+(-559*n^2+4551*n-8624)*a(n-5)+(179*n^ 2-3333*n+13132)*a(n-6)+(368*n^2-2766*n+2752)*a(n-7)+(162*n^2-2484*n+8868)*a(n-8 )+(262*n^2-348*n-7216)*a(n-9)+(-283*n^2+3705*n-12320)*a(n-10)+(-100*n^2+1230*n-\ 3344)*a(n-11)+(-80*n^2+1200*n-4336)*a(n-12)+32*(2*n-19)*(n-10)*a(n-13) = 0, a(1 ) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 6, a(6) = 10, a(7) = 19, a(8) = 38, a(9) = 82, a(10) = 200, a(11) = 544, a(12) = 1611, a(13) = 5082}, [1, 1, 2, 4, 6, 10, 19, 38, 82, 200, 544, 1611, 5082, 16750, 56869, 197116, 693645, 2469382, 8872948, 32127962, 117093244, 429173719, 1580838160, 5848602698, 21723334263, 80973248348, 302798222435, 1135632151105, 4270579446874, 16099274278190, 60829323362793, 230320800751647, 873778160153539, 3320919297297676, 12643048223352965, 48209651976448182, 184103408550208547, 704038074530075160, 2695884491653654298, 10335812889809941674, 39673120226928308576, 152450554288426289283, 586431550265582030814, 2258073147633367908516, 8703010037066228838947, 33573126106166637316768, 129624276867229711682349, 500882573425241027678475, 1936976839641043776916816, 7496125613013414791502402] , 67290230509583226628557523024880545740397246660473991394115486933224366911641\ 5205066225590917761747951345160823253340120151035236442052544220475918016082036\ 2125867824709777972036028592350817287738894775088637565242016924467776664673556\ 4562735848771560972808763466542485551669445736676162461073517231768038959358315\ 3224060890527957142711995130933214500068092713977803813025246572661602944794304\ 8523886746743304594322932985739559525410397065961284711128523496852688984996777\ 0997100215279722826832793051357828600763774431954881210302603811151773506007049\ 53915611830807241962920293340607033351673805] ---------------------------- (A,B)= , {2, 5}, {1, 2, 4} [4*P^2*x^6-9*P^2*x^5+14*P^2*x^4+4*P*x^5-15*P^2*x^3-9*P*x^4+11*P^2*x^2+14*P*x^3+ x^4-5*P^2*x-14*P*x^2-2*x^3+P^2+8*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/((x^3-x^ 2)*C-2*x^3+2*x^2-2*x+1), {4*n*(n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(464*n^2-\ 3386*n+4740)*a(n-2)+(-1873*n^2+16339*n-31134)*a(n-3)+(4971*n^2-49857*n+116706)* a(n-4)+(-9382*n^2+105310*n-286152)*a(n-5)+(13194*n^2-162510*n+494376)*a(n-6)+(-\ 14171*n^2+188693*n-626646)*a(n-7)+(11682*n^2-166362*n+592200)*a(n-8)+(-7212*n^2 +109302*n-412284)*a(n-9)+(3071*n^2-49373*n+195486)*a(n-10)-2*(346*n-2241)*(n-10 )*a(n-11)-48*(n-11)*(n-19)*a(n-12)+32*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 1, a( 2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 27, a(8) = 60, a(9) = 142, a(10) = 362, a(11) = 991, a(12) = 2883, a(13) = 8818}, [1, 1, 2, 4, 7, 13, 27, 60, 142, 362, 991, 2883, 8818, 28074, 92229, 310496, 1065614, 3713743, 13105029, 46723848, 168034688, 608787477, 2219743062, 8138792990, 29988332727, 110979745817, 412322073251, 1537317202613, 5750177048367, 21570796894454, 81135503407511, 305929496679479, 1156150938935319, 4378416167068854, 16613588875491714, 63153190052534947, 240469490326737690, 917086138725158852, 3502699090460429053, 13396739750609425257, 51305450715116762981, 196726813710986590731, 755213179755570113285, 2902379671164436585960, 11165866177834211082817, 42999257499813503697387, 165744219526222620003253, 639447432972417149701164, 2469118169995614870679944, 9541843906170534181627526] , 80722341301325248076690614752839814120418562209818965682560074583494275138293\ 1867501967005295385467483662114169876523979968162413880214408589817830085372316\ 4347579110452989473136451639738302423196186189670881169461112677525829683486652\ 5879040426204560829713527838543201688826160148310895750678659866372002452559980\ 5146547539196831896129997357931190789320695272944073881026158282690660955918063\ 0834055153217471325122840638413841368177496766429892586301440420651787522537958\ 4680894592028378659528268696393867984893441600304503908733546981328209775344007\ 94821636409065980487913891677497697494961187] ---------------------------- (A,B)= , {2, 5}, {1, 2, 5} [P^2*x^9+P^2*x^7-4*P^2*x^5+2*P*x^6+6*P^2*x^4+P*x^5-8*P^2*x^3-2*P*x^4+9*P^2*x^2+ 4*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x^3- x^2)*C-x^3+x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(574*n^2-4796 *n+6996)*a(n-2)+(-2179*n^2+21497*n-43068)*a(n-3)+(5072*n^2-57106*n+141396)*a(n-\ 4)+(-7753*n^2+96785*n-278496)*a(n-5)+(8371*n^2-112667*n+359952)*a(n-6)+(-6969*n ^2+99579*n-343800)*a(n-7)+(4544*n^2-70690*n+269040)*a(n-8)+(-1902*n^2+35226*n-\ 160332)*a(n-9)+(188*n^2-8212*n+58824)*a(n-10)+(328*n^2-1850*n-10308)*a(n-11)+(-\ 424*n^2+4748*n-7824)*a(n-12)+(n-5)*(311*n-3072)*a(n-13)+(-100*n^2+1922*n-9192)* a(n-14)+(34*n^2-782*n+4536)*a(n-15)-2*(n-12)*(5*n-64)*a(n-16)+4*(2*n-27)*(n-14) *a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 26, a(8) = 54, a(9) = 117, a(10) = 268, a(11) = 652, a(12) = 1687, a(13) = 4637, a(14) = 13475, a(15) = 41093, a(16) = 130425, a(17) = 427478}, [1, 1, 2, 4, 7, 13, 26, 54, 117, 268, 652, 1687, 4637, 13475, 41093, 130425, 427478, 1437250, 4930635, 17188722, 60702410, 216656984, 780139086, 2830162191, 10333050996, 37936537992, 139959962992, 518591894793, 1928960221705, 7199930041184, 26958629325212, 101229986394324, 381115098838947, 1438288570623603, 5439980487154131, 20617598271712315, 78289622408997766, 297809477755926494, 1134722545127728324, 4330234705847194541, 16548625080116975740, 63329072322356846937, 242661264615545751831, 930941287946991238195, 3575523769770534285297, 13747571470749398501446, 52912312978438561734864, 203849355708671931277012, 786072975934629695643072, 3033876758080496367094145], 244153439028429778449933789759391122120320761084518\ 3785451252491505288168821379309342621500393722109215653535428137967634384601344\ 2573054800472842826038477876689693149107544713867436641578033355031227909350899\ 7882473910052827951342318869219365193176281429811620176947405393489014178661661\ 1578558456083401225311636087579545896875584618886961880804141236464853752201709\ 1136599723124124433366592097031247185011344933621380865497004866876154372758104\ 9576933266099106761839316866254518274430815143049539954571302992346910339606701\ 5295505043509949297538828998825934726565997151798350717513968341658260] ---------------------------- (A,B)= , {2, 5}, {1, 3, 4} [P^2*x^10-4*P^2*x^9+7*P^2*x^8-5*P^2*x^7-2*P*x^8-2*P^2*x^6+6*P*x^7+12*P^2*x^5-6* P*x^6-11*P^2*x^4-4*P*x^5+x^6+5*P^2*x^3+11*P*x^4-2*x^5+3*P^2*x^2-12*P*x^3-4*P^2* x+5*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (C*x^3-x^3+x^2+x-1)/((x^5-x^4+x^3)*C-x^5+2*x ^4-x^3+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-334*n^2+2494*n-3492 )*a(n-2)+(871*n^2-7957*n+15246)*a(n-3)+(-779*n^2+8945*n-21510)*a(n-4)+(-1178*n^ 2+10754*n-26532)*a(n-5)+(3814*n^2-41662*n+115332)*a(n-6)+(-3994*n^2+44368*n-\ 121116)*a(n-7)+(972*n^2-9420*n+21888)*a(n-8)+(2513*n^2-27293*n+45954)*a(n-9)+(-\ 3503*n^2+35771*n-39030)*a(n-10)+2*(133*n-864)*(10*n-73)*a(n-11)+(-2253*n^2+ 59475*n-408402)*a(n-12)+(2365*n^2-80911*n+636210)*a(n-13)+(-1587*n^2+59523*n-\ 498462)*a(n-14)+(-288*n^2+198*n+48888)*a(n-15)+(1810*n^2-49522*n+337092)*a(n-16 )+(-1933*n^2+56341*n-408618)*a(n-17)+(1134*n^2-34338*n+258348)*a(n-18)+(-374*n^ 2+11726*n-91116)*a(n-19)+28*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 1, a(2) = 1, a( 3) = 2, a(4) = 5, a(5) = 11, a(6) = 24, a(7) = 54, a(8) = 126, a(9) = 303, a(10 ) = 754, a(11) = 1951, a(12) = 5269, a(13) = 14873, a(14) = 43843, a(15) = 134560, a(16) = 428012, a(17) = 1403541, a(18) = 4720126, a(19) = 16203452, a( 20) = 56556200}, [1, 1, 2, 5, 11, 24, 54, 126, 303, 754, 1951, 5269, 14873, 43843, 134560, 428012, 1403541, 4720126, 16203452, 56556200, 200077640, 715624530, 2582885081, 9393174770, 34379981482, 126529456313, 467905801206, 1737620681165, 6477037256543, 24224403777353, 90874671405347, 341841619313401, 1289127146376753, 4872653772589136, 18456779172036404, 70048333176122376, 266336105058691393, 1014373977297976067, 3869484456173615736, 14782608503511000593, 56552555731414094606, 216630946601220976781, 830850698680165101662, 3190286472665012530303, 12263461137510323799847, 47189767291653654734101, 181765192551521494336398, 700777594639994234327461, 2704184968070578691964489, 10443854723666983432033530], 86438817803007307220170\ 0459521127771535532883633947950925303025123204377299276084864400409467382529387\ 3895938076873532158283758827007950449733316300274122741561806956666503082487917\ 6804461201110655079992962449423153576446415687642487146011221189957772524303278\ 4733959526180283194072916813897023117767904971298101862883179029881303753114056\ 8270083675122238626466427398947211717411958050949058827263399722757049401429970\ 4244341215868185913915119759207754126664181489050681821958594341460521659675624\ 9309236113876991476085240922492418953749066250183588477049511973796204108038673\ 1489800496702786081] ---------------------------- (A,B)= , {2, 5}, {1, 3, 5} [P^2*x^9-2*P^2*x^8+6*P^2*x^7-8*P^2*x^6-2*P*x^7+9*P^2*x^5+4*P*x^6-3*P^2*x^4-9*P* x^5-4*P^2*x^3+8*P*x^4+x^5+8*P^2*x^2-2*P*x^3-2*x^4-5*P^2*x-8*P*x^2+3*x^3+P^2+8*P *x+x^2-2*P-3*x+1, ((x^3-x^2)*C-x^2-x+1)/((x^5-x^4+2*x^3-x^2)*C-x^4-2*x+1), {-5* n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-566*n^2+4738*n-6912)*a(n-2)+(2054*n^2-\ 20368*n+40824)*a(n-3)+(-4257*n^2+48495*n-120264)*a(n-4)+(4775*n^2-61627*n+ 178704)*a(n-5)+(-1403*n^2+23689*n-81012)*a(n-6)+(-4157*n^2+51145*n-162012)*a(n-\ 7)+(7586*n^2-101212*n+334152)*a(n-8)+(-6649*n^2+86429*n-260160)*a(n-9)+(3185*n^ 2-31255*n+23076)*a(n-10)+(-283*n^2-11995*n+141276)*a(n-11)+(-714*n^2+20916*n-\ 135360)*a(n-12)+(410*n^2-7810*n+31464)*a(n-13)+(38*n^2-4114*n+46200)*a(n-14)+(-\ 225*n^2+7575*n-60900)*a(n-15)+(182*n^2-5530*n+41784)*a(n-16)-6*(13*n-188)*(n-15 )*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 11, a(6) = 24, a(7) = 53, a(8) = 120, a(9) = 276, a(10) = 648, a(11) = 1558, a(12) = 3859, a(13) = 9897, a(14) = 26414, a(15) = 73604, a(16) = 214362, a(17) = 651388, a(18) = 2057185}, [1, 1, 2, 5, 11, 24, 53, 120, 276, 648, 1558, 3859, 9897, 26414, 73604, 214362, 651388, 2057185, 6716745, 22544977 , 77385699, 270418595, 958513377, 3436488119, 12435002717, 45339589383, 166367109486, 613761658613, 2274843825306, 8465806462771, 31618827472503, 118472416185811, 445189247321425, 1677304128509605, 6334606344904166, 23976328534084972, 90934052167744234, 345530055116093952, 1315232835995163708, 5014474141914939455, 19147313868748165372, 73216402043313955859, 280342734525505344826, 1074772155623448337129, 4125328130278506741332, 15852109290272081854043, 60978385810166107173552, 234801590066395006237779, 904982538824584078481929, 3491185417451783583554224], 2765371702084228305114173\ 5521014218813626345879069243799915579081111842573331115985990985028004816887890\ 8553595958782442890718028499628518228158992589972173897810655228905048172482391\ 5724357305513422541037926943631158541607308411679044691260971098462714674213211\ 1064126230017821527722496808501018062402525544936905314925544446932219017548627\ 0445926019038298888347858702127392389673170254103660303293985336994572643006950\ 4406100413539567675858603108145140623303340633406064020985211315567677814890009\ 1877857382771241037322753461966429214415052089355650105492997266261988930187280\ 03699220210759690] ---------------------------- (A,B)= , {2, 5}, {1, 4, 5} [P^2*x^7-2*P^2*x^6+2*P*x^6+5*P^2*x^4-3*P*x^5-10*P^2*x^3+x^5+12*P^2*x^2+4*P*x^3-\ 6*P^2*x-14*P*x^2+2*x^3+P^2+10*P*x+3*x^2-2*P-4*x+1, (-C*x^3-2*x+1)/((x^4-x^3)*C- x^3+2*x^2-3*x+1), {5*n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+(711*n^2-5913*n+ 8652)*a(n-2)+(-3014*n^2+29722*n-59808)*a(n-3)+(7697*n^2-87121*n+217224)*a(n-4)+ (-12300*n^2+155700*n-453600)*a(n-5)+(12459*n^2-172617*n+564468)*a(n-6)+(-7823*n ^2+117913*n-424104)*a(n-7)+(2268*n^2-40824*n+172080)*a(n-8)+(1015*n^2-10241*n+ 15948)*a(n-9)+(-1376*n^2+19336*n-61200)*a(n-10)+(538*n^2-8144*n+27336)*a(n-11)+ (-36*n^2+288*n+1368)*a(n-12)-2*(7*n-83)*(n-12)*a(n-13)+(-10*n^2+296*n-2160)*a(n -14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5 ) = 12, a(6) = 29, a(7) = 72, a(8) = 182, a(9) = 466, a(10) = 1209, a(11) = 3183, a(12) = 8518, a(13) = 23216, a(14) = 64587, a(15) = 183807}, [1, 1, 2, 5, 12, 29, 72, 182, 466, 1209, 3183, 8518, 23216, 64587, 183807, 536116, 1604745, 4932078, 15558467, 50313134, 166472127, 562245529, 1933464819, 6752896277, 23899342535, 85533908652, 309021878307, 1125393892554, 4126307487244, 15217143927685, 56398995443432, 209938872484963, 784451252193190, 2941034995792640, 11059558133803332, 41701041495275827, 157621861949161516, 597106623737303984, 2266585117361771849, 8619986292227342165, 32839316848829138348, 125308524551895124492, 478870629467910438750, 1832585173384407959103, 7022313583307290082902, 26942123520894058774517, 103487453951224728118109, 397941659066929929517831, 1531796086218756254434046, 5902126949727452958266305], 449015238837903940175349852308569640093849336717311\ 9729117302017606394271666867699219825394698580532599534845156013724825807286983\ 6452746881589029714463711292321561401170082682845912751756215660585293464849204\ 4452819228961971017037470150903077046637412412974015601960391908836441915412315\ 9162431044485920434018939047867314941920967457141703995052556550815813357756129\ 1062410012556475736765169088551433085644727121412963262447177434903730051029798\ 6242380681340592241885076316930568238324098577989290687930922320400554271151676\ 8322127406535971471673513710362716797577165991847797584875374323401803] ---------------------------- (A,B)= , {2, 5}, {2, 3, 4} [P^2*x^8-2*P^2*x^7-2*P*x^8+4*P*x^7+x^8+P^2*x^5-2*x^7+6*P^2*x^4-4*P*x^5-P^2*x^3-\ 9*P*x^4+3*x^5-P^2*x^2+4*P*x^3+3*x^4-2*P^2*x+4*P*x^2-3*x^3+P^2+2*P*x-2*x^2-2*P+1 , (C*x^4-x^4+x^3+x^2-1)/(C*x^4-x^4+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*( n-5)*a(n-1)+(-164*n^2+1268*n-1752)*a(n-2)+(177*n^2-1635*n+2898)*a(n-3)+(49*n^2-\ 883*n+3138)*a(n-4)+(229*n^2-1327*n+978)*a(n-5)+(-775*n^2+8815*n-25506)*a(n-6)+( 33*n^2-879*n+5274)*a(n-7)+(321*n^2-5649*n+24150)*a(n-8)+(471*n^2-3891*n-4206)*a (n-9)+(-149*n^2-661*n+24366)*a(n-10)+(-136*n^2+2794*n-16788)*a(n-11)+(294*n^2-\ 8274*n+57156)*a(n-12)+(-513*n^2+17079*n-135042)*a(n-13)+(158*n^2-6212*n+56016)* a(n-14)+(-30*n^2+570*n-1716)*a(n-15)+4*(67*n-888)*(n-16)*a(n-16)-6*(37*n-522)*( n-17)*a(n-17)+28*(2*n-29)*(n-18)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4 ) = 4, a(5) = 7, a(6) = 14, a(7) = 28, a(8) = 58, a(9) = 127, a(10) = 294, a(11 ) = 729, a(12) = 1942, a(13) = 5538, a(14) = 16760, a(15) = 53216, a(16) = 175331, a(17) = 593941, a(18) = 2054395}, [1, 1, 2, 4, 7, 14, 28, 58, 127, 294, 729, 1942, 5538, 16760, 53216, 175331, 593941, 2054395, 7219601, 25686315, 92293301, 334306669, 1219157099, 4471852418, 16485357752, 61042243533, 226919164642, 846534172899, 3168126222404, 11891017372380, 44749215528567, 168813500228972, 638265492731242, 2418214483500458, 9179574300690808, 34908124118209735, 132970309349564866, 507294502550224149, 1938208698215237734, 7415447101712850039, 28407663973310286196, 108958991680637373927, 418399047205398663598, 1608390262980809369738, 6189285794878323202038, 23840487000417498292993, 91916619381190754223831, 354697150018517334443720, 1369896931298776830371996, 5295021117379856669658536], 452088163681401301455131\ 5284745485562557148862821307914640262756996267066150011876720193849079035004368\ 8825399377133537467961896969087216346736621438246512549232791410883628312287054\ 7322309929569786289365156029729156237859827754545497497025909566238478521210750\ 8698654733448428973602450107042103133060591513135432484061957334831897570538991\ 2604478896670762682008570752346479727125253732464931691833931423336749659794382\ 0515116421069687853352597487767278063060962073864114135763200054322880805749138\ 2641220869388810605966763504296917342429641969169605305678434424224468758145699\ 650792193322413783] ---------------------------- (A,B)= , {2, 5}, {2, 3, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7-P^2*x^5-2*P*x^6+x^7+3*P*x^5+2*P^2*x^3-2*P*x^4-x^5+P^ 2*x^2-4*P*x^3+2*x^4-3*P^2*x+2*P*x^2+x^3+P^2+4*P*x-2*x^2-2*P-x+1, ((x^4-x^2)*C-x ^3-x^2+1)/((x^4+x^3-x^2)*C-x^3-x^2-x+1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a( n-1)+(-308*n^2+2638*n-3804)*a(n-2)+(613*n^2-6227*n+12156)*a(n-3)+(-304*n^2+3518 *n-7404)*a(n-4)+(-530*n^2+7186*n-24024)*a(n-5)+(443*n^2-7111*n+26688)*a(n-6)+( 446*n^2-5692*n+18876)*a(n-7)+(-566*n^2+7930*n-28152)*a(n-8)+(-18*n^2-180*n+3516 )*a(n-9)+(304*n^2-3584*n+4800)*a(n-10)-11*n*(n-17)*a(n-11)-2*(41*n-79)*(n-12)*a (n-12)-4*(n+13)*(n-12)*a(n-13)+(-28*n^2+884*n-6864)*a(n-14)+6*(7*n-103)*(n-16)* a(n-15)+12*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 14, a(7) = 27, a(8) = 54, a(9) = 111, a(10) = 236, a(11) = 527 , a(12) = 1247, a(13) = 3157, a(14) = 8576, a(15) = 24899, a(16) = 76547}, [1, 1, 2, 4, 7, 14, 27, 54, 111, 236, 527, 1247, 3157, 8576, 24899, 76547, 246333, 820802, 2806894, 9786244, 34623252, 123895734, 447387841, 1627578942, 5958172361, 21928526749, 81083380008, 301052805314, 1121886503612, 4194599719466, 15730138048695, 59150662645696, 222983158884014, 842525187172292 , 3190183067899766, 12103263252957433, 46002688142683698, 175147451611886254, 667906678806061876, 2550793400205333910, 9755344485423454217, 37357831062882227547, 143238405039507864393, 549852166959240764268, 2113067638033407097611, 8128986830344663633120, 31303403459411830392436, 120658285582156777263288, 465492976357271868599823, 1797384081062907278544031], 1471643278183898948963100532153000456999324192731402708881764993214295730846965\ 3850312949630588134200230423112157830124460148013155806504040089204074604092227\ 2235749408736291261410465845727481874552890881719540735226754416755502525333316\ 3958470983029417119177178768992468712259776351809631648218197694291454247398670\ 6923701268106994845002262041778030540803392900988794830663288208123638903497338\ 9731847850328522150759852014041262474025485255267699931190914243835591845805751\ 0043000166956016692839738105969854612165955269963816493309605230006794026550482\ 843979409322028740400779748094738367435565] ---------------------------- (A,B)= , {2, 5}, {2, 4, 5} [P^2*x^7-2*P^2*x^6+P^2*x^5+2*P*x^6-2*P^2*x^4-P*x^5+3*P^2*x^3+x^5+3*P^2*x^2-8*P* x^3+2*x^4-4*P^2*x+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^4-x^3)* C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(421*n^2-3569*n+5184)*a(n-\ 2)+(-1115*n^2+11263*n-22392)*a(n-3)+(1158*n^2-13578*n+32568)*a(n-4)+(507*n^2-\ 6387*n+22848)*a(n-5)+(-1924*n^2+27356*n-96264)*a(n-6)+(981*n^2-13191*n+44160)*a (n-7)+(-2*n^2-4898*n+38112)*a(n-8)+(176*n^2+1070*n-21168)*a(n-9)+(114*n^2-3228* n+19416)*a(n-10)+(-364*n^2+6332*n-26376)*a(n-11)+(142*n^2-2468*n+10080)*a(n-12) +12*(n-14)*(n-13)*a(n-13)-6*(3*n-40)*(n-14)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a(8) = 82, a(9) = 186, a(10) = 433, a(11) = 1039, a(12) = 2584, a(13) = 6696, a(14) = 18152, a(15) = 51565}, [1, 1, 2, 4, 8, 17, 37, 82, 186, 433, 1039, 2584, 6696 , 18152, 51565, 153321, 475372, 1528579, 5066923, 17214964, 59650596, 209951256 , 748255824, 2693801231, 9778538369, 35741717652, 131404765448, 485540455923, 1801931823941, 6713140022548, 25096020740803, 94107601539230, 353881865788074, 1334128572430110, 5041385329040913, 19091240034160216, 72440189502950680, 275374441260657334, 1048601905059228392, 3999363240114171955, 15276347197461724764, 58432741527944795014, 223802257631502772857, 858244060404985713000, 3295071776395243025800, 12664814454181595735231, 48728954002853464886817, 187674862230624683741822, 723492694022599465851144, 2791586689978106527704504], 222705779438249737673701572417232675349189793669519\ 2173918805269465663684937761130425722730781354863524982342802064689523371944865\ 4461036443637860172644764087893832837097295487301664134259231507810413946184729\ 7109758628851015616355600430898162626614225224245652386931064230939792259021415\ 4289401425762178161112425381960981572809338643454465599336754201352027062709106\ 3537392690857500882419258857277606983325688156744641525226554397960111766017261\ 4054021028006406020814944171003908167892441430054214187670823833375244603975118\ 2964836099577340864913123501639846028049367511358761681487012275236141] ---------------------------- (A,B)= , {2, 5}, {3, 4, 5} [P^2*x^7-2*P*x^8+x^9-2*P*x^7+2*x^8+P^2*x^5-2*P*x^6+2*x^7+3*P^2*x^4-7*P*x^5+4*x^ 6+3*P^2*x^3-10*P*x^4+7*x^5+2*P^2*x^2-6*P*x^3+6*x^4-4*P^2*x+2*P*x^2+x^3+P^2+6*P* x-3*x^2-2*P-2*x+1, ((x^5+x^4)*C+x^3+2*x^2+x-1)/(C*x^4+x^2+2*x-1), {-5*n*(n-5)*a (n)+(74*n^2-502*n+408)*a(n-1)+(-413*n^2+3511*n-5100)*a(n-2)+(1025*n^2-10411*n+ 20664)*a(n-3)+(-858*n^2+9990*n-23256)*a(n-4)+(-526*n^2+7748*n-28068)*a(n-5)+( 423*n^2-7587*n+29508)*a(n-6)+(951*n^2-16227*n+68916)*a(n-7)+(244*n^2-2174*n+ 2352)*a(n-8)+(-678*n^2+12300*n-58380)*a(n-9)+(-292*n^2+7538*n-43200)*a(n-10)+(-\ 268*n^2+8612*n-66768)*a(n-11)+(-25*n^2-523*n+11040)*a(n-12)+(11*n^2-1675*n+ 20904)*a(n-13)+(90*n^2-3282*n+28944)*a(n-14)+(37*n^2-1253*n+10536)*a(n-15)+2*(n -12)*(n-11)*a(n-16)+20*(2*n-31)*(n-18)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 75, a(8) = 189, a(9) = 479, a(10) = 1223, a(11) = 3149, a(12) = 8191, a(13) = 21570, a(14) = 57658, a(15) = 156922, a(16) = 436257, a(17) = 1242872}, [1, 1, 2, 5, 12, 30, 75, 189, 479, 1223, 3149 , 8191, 21570, 57658, 156922, 436257, 1242872, 3638527, 10965878, 34045019, 108805053, 357274835, 1202026549, 4130436260, 14449031922, 51301700505, 184386296915, 669375114142, 2450047568012, 9028629140357, 33459651456920, 124591597243819, 465823930037686, 1747761201756708, 6577787413246112, 24823457470693889, 93908515473742883, 356045282404128886, 1352624141630452358, 5148110513686688310, 19627046654087083882, 74945269399844679673, 286594715910000048513, 1097450183466892024289, 4207815569819657692659, 16152889327896087110080, 62077616685538723602633, 238827098975843427866373, 919752131591367644808747, 3545468519680746326710971], 2742624894204766621388631\ 5977830651752000447672612859441480210395685259843035488843239354624501680454441\ 4670961586609223180306437651108018736257980886530823538068456203064298912319008\ 1506752994823711235043538502879223819181532219739685855978358834587971143434489\ 6075569894879819668462279666465163684870212206770839602427299942547874954788483\ 3570250089401583981465124641550178614316938694747257304037391460099027361888754\ 4265316825591550713944006514661779014590390815473824431797294617006409402855912\ 4351642628127832140082182710980050307984272260272856351632542146307706882704256\ 23016311492037105] ---------------------------- (A,B)= , {2, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^9+3*P^2*x^7-P^2*x^6+5*P^2*x^5-P^2*x^4-2*P*x^5-2*P^2*x^3+3*P*x ^4+P^2*x^2+2*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^5-x^5+x^4+x^3+x-1), {-4*n*( n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-176*n^2+1340*n-1848)*a(n-2)+(298*n^2-2632* n+4788)*a(n-3)+(-292*n^2+2776*n-5880)*a(n-4)+(238*n^2-2740*n+7188)*a(n-5)+(125* n^2+67*n-4242)*a(n-6)+(-558*n^2+4572*n-6348)*a(n-7)+(450*n^2-3978*n+6360)*a(n-8 )+(-419*n^2+4391*n-10686)*a(n-9)+(191*n^2-3053*n+10746)*a(n-10)+(203*n^2-1511*n +1554)*a(n-11)+(-112*n^2+202*n+4980)*a(n-12)+(87*n^2-1137*n+3594)*a(n-13)+(-30* n^2+354*n-564)*a(n-14)+(10*n^2-142*n+444)*a(n-15)+(-10*n^2+256*n-1608)*a(n-16)+ 4*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 6 , a(6) = 10, a(7) = 19, a(8) = 37, a(9) = 76, a(10) = 174, a(11) = 442, a(12) = 1228, a(13) = 3678, a(14) = 11656, a(15) = 38437, a(16) = 130352, a(17) = 451104}, [1, 1, 2, 4, 6, 10, 19, 37, 76, 174, 442, 1228, 3678, 11656, 38437, 130352, 451104, 1584913, 5634289, 20220217, 73138468, 266320649, 975371370, 3590307808, 13275145164, 49281709795, 183610418346, 686319070743, 2573030111746 , 9672604625285, 36452335946403, 137691086082424, 521206402510613, 1976834509347756, 7511519964435972, 28590955123539676, 108999498700279271, 416170808934324575, 1591220324306279352, 6092064134656537187, 23352912618091089704, 89625140507142042071, 344352384828093271831, 1324449007146580632766, 5099207922988438539439, 19650958588745082435342, 75798063925325004465515, 292622084068465816515965, 1130611173740600695841388, 4371801169928200373549202], 378806186564434695331252486650819478819166461755642\ 0102535327805284783017950391922246115275105266021610006198866128049401611729708\ 5990230240277392644304244242029759610591218310160557818293764433178764674052131\ 7175774236281688718488137913001981896404697329306291051893444266434766017839444\ 8519727723329863967016078366355035444781563131559113537042627378103683633289468\ 7163891465799080030486418913735998881514910507995781218737095814288091461742171\ 0933856728260402380373920233601125974441777675632517276871922404884584246321031\ 7503716823344266788507967241187359746588482045205356076864893401290550] ---------------------------- (A,B)= , {2, 5}, {1, 2, 3, 5} [P^2*x^9+3*P^2*x^7-2*P^2*x^6+2*P^2*x^5+2*P*x^6-P*x^5-2*P^2*x^3+2*P*x^4+3*P^2*x^ 2-3*P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+1, (-C*x^2+1)/((x^5+x^3-x^2)*C-x^4-x^3-x+ 1), {5*n*(n-5)*a(n)+(-65*n^2+445*n-360)*a(n-1)+(324*n^2-2754*n+3972)*a(n-2)+(-\ 807*n^2+8013*n-15732)*a(n-3)+(1142*n^2-12736*n+30444)*a(n-4)+(-973*n^2+11885*n-\ 32136)*a(n-5)+(341*n^2-4957*n+15024)*a(n-6)+(423*n^2-4329*n+11016)*a(n-7)+(-886 *n^2+10100*n-26448)*a(n-8)+(950*n^2-10942*n+26844)*a(n-9)+(-622*n^2+7358*n-\ 17448)*a(n-10)+(240*n^2-2262*n+1836)*a(n-11)+(-96*n^2+636*n+1680)*a(n-12)+(3*n^ 2+153*n-1464)*a(n-13)-6*(n-12)*(2*n-43)*a(n-14)+(-144*n+1776)*a(n-15)-2*(n-12)* (n-14)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4 ) = 4, a(5) = 6, a(6) = 10, a(7) = 18, a(8) = 33, a(9) = 62, a(10) = 126, a(11) = 279, a(12) = 679, a(13) = 1817, a(14) = 5284, a(15) = 16384, a(16) = 53220, a (17) = 178651}, [1, 1, 2, 4, 6, 10, 18, 33, 62, 126, 279, 679, 1817, 5284, 16384, 53220, 178651, 613898, 2145984, 7600070, 27194696, 98131685, 356620459, 1303877905, 4792495812, 17697409204, 65623474920, 244245044792, 912122631657, 3416709565872, 12834377701497, 48334016503014, 182454247207038, 690239981171124 , 2616507845137644, 9937061260764799, 37805282597105180, 144064088859200433, 549822681493055381, 2101417652398250317, 8042438424550016240, 30818737644846561291, 118239518254020222124, 454153531922723553299, 1746259568756130160527, 6721354874413372571583, 25895510656968425432300, 99859897697908372436678, 385422964418807593220460, 1488833368002777782406918], 1237859684193392948033285823729123969963979630504028298185442626857605542952926\ 5384158820377757412599264248340348317107117274097786750509069486689049538818664\ 3170421758027343029293927999223287586193868947967680401970980177023310550368366\ 8596628848139771126957585096134823272829910864966564678135967030189978614730718\ 4255934991077629555857945474210032300476336291457176094972485466895324514367331\ 3449543772593925584468722565298124712203561018675900879225139709094182113080617\ 4456188029125253236105419832415956329539003618335236941644121111929761437399277\ 482988171655385434812809143856870019248073] ---------------------------- (A,B)= , {2, 5}, {1, 2, 4, 5} [P^2*x^7-2*P^2*x^6+P^2*x^5+2*P*x^6+2*P^2*x^4-3*P*x^5-3*P^2*x^3+x^5+5*P^2*x^2-4* P^2*x-4*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (-C*x^3-x+1)/((x^4-x^3)*C-x^3+x^2-2*x+1) , {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(437*n^2-3685*n+5352)*a(n-2)+(-\ 1337*n^2+13285*n-26424)*a(n-3)+(2336*n^2-26320*n+64224)*a(n-4)+(-2479*n^2+30539 *n-85032)*a(n-5)+(1690*n^2-22262*n+67200)*a(n-6)+(-549*n^2+8883*n-31704)*a(n-7) +(-516*n^2+4812*n-7848)*a(n-8)+(848*n^2-10450*n+28176)*a(n-9)+(-474*n^2+6288*n-\ 17832)*a(n-10)+(98*n^2-1318*n+3312)*a(n-11)+(26*n^2-676*n+4416)*a(n-12)+(-6*n^2 +114*n-480)*a(n-13)+(-10*n^2+296*n-2160)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 26, a(8) = 53, a(9) = 111, a(10) = 244, a(11) = 567, a(12) = 1400, a(13) = 3690, a(14) = 10372, a(15) = 30891}, [1, 1, 2, 4, 7, 13, 26, 53, 111, 244, 567, 1400, 3690, 10372, 30891, 96580, 313877, 1051092, 3601449, 12559410, 44405592, 158733543, 572506416, 2080281463, 7606838803, 27967232258, 103314351825, 383264318211, 1427139144363, 5332128942387, 19983096864053, 75098997886984, 282951563835291, 1068580325504223, 4044275384452779, 15337097129990568, 58271020552666108, 221775590275184305, 845428353174995311, 3227728304574528047, 12340524550364068361, 47244347841741566273, 181097330500841416513, 695007414430430392267, 2670261724183487127260, 10270209666382939765940, 39540485191496241947657, 152377143530296591165086, 587749675818301862500545, 2269032797230620565816642], 184464009257710266374975242058737547442592704249159\ 4082948627672973935703561045746106175745981067897277713923694568833195673023786\ 9981727026636075897566486239304165363622615902887962677700824268745930973752414\ 2099124243965417038359473004570295511215676909940942806243555587949475440060638\ 5851102106287817756324866549467497857317987499174799614745005663905595864829365\ 9329246646591658089412541554458288245253358007551513946408611220575205702970996\ 7820150677341088583352891748791246325044013241567441997232320275564102739022797\ 7507426657546782933581836120601837316272149331939588960094552799470364] ---------------------------- (A,B)= , {2, 5}, {1, 3, 4, 5} [P^2*x^11-2*P^2*x^10+4*P^2*x^9-2*P^2*x^8-2*P*x^9+2*P^2*x^7+2*P*x^8+2*P^2*x^6-4* P*x^7+P^2*x^5-2*P*x^6+x^7+P^2*x^4-P*x^5-P^2*x^3-2*P*x^4+x^5+4*P^2*x^2-2*P*x^3+2 *x^4-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-x^2-2*P-2*x+1, (C*x^4+x^2+x-1)/((x^6-x^5+x^4 )*C+x^4+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-429*n^2+3627*n-\ 5268)*a(n-2)+(1233*n^2-12327*n+24504)*a(n-3)+(-1830*n^2+20766*n-50352)*a(n-4)+( 1328*n^2-16186*n+43284)*a(n-5)+(-447*n^2+5235*n-12708)*a(n-6)+(146*n^2-1996*n+ 7020)*a(n-7)+(-124*n^2+1970*n-8952)*a(n-8)+(61*n^2-4949*n+39072)*a(n-9)+(510*n^ 2+4620*n-90816)*a(n-10)+(-876*n^2-3846*n+127800)*a(n-11)+(767*n^2+5255*n-140832 )*a(n-12)+(-480*n^2-1710*n+76044)*a(n-13)+(132*n^2+774*n-24048)*a(n-14)+(33*n^2 -1833*n+18792)*a(n-15)+(100*n^2-2996*n+22104)*a(n-16)+(-278*n^2+8002*n-56880)*a (n-17)+(588*n^2-19098*n+154800)*a(n-18)+(-563*n^2+18763*n-155784)*a(n-19)+(438* n^2-15186*n+131016)*a(n-20)+(-182*n^2+6454*n-56784)*a(n-21)+28*(2*n-33)*(n-20)* a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 11, a(6) = 24, a(7) = 53, a(8) = 119, a(9) = 270, a(10) = 622, a(11) = 1461, a(12) = 3519, a(13) = 8745, a(14) = 22571, a(15) = 60851, a(16) = 171960, a(17) = 509509, a(18) = 1578132, a(19) = 5082257, a(20) = 16907174, a(21) = 57730046, a(22) = 201193891 }, [1, 1, 2, 5, 11, 24, 53, 119, 270, 622, 1461, 3519, 8745, 22571, 60851, 171960, 509509, 1578132, 5082257, 16907174, 57730046, 201193891, 712429406, 2554283006, 9248343792, 33751291468, 123974142037, 457853881497, 1698756407344, 6328155532354, 23656784732054, 88715402490366, 333633619546236, 1257921942063502, 4753941633891488, 18004750943282658, 68325256610570979, 259760382263094681, 989249762951860265, 3773378779035680337, 14414561597842975376, 55141511483439670699, 211215367233057672847, 810044223509202393578, 3110269229121459519208, 11955438577091657136182, 46002965551316765541628, 177188476255035691279654, 683113387734212239004361, 2635953686357692639680559], 210851349570253221426881071985445457444434513347928\ 4234868802550348556625296639599696251139022273426491748817729624569416459927579\ 0872419388025668175785807444381006839063910751527317716420341775390566794587685\ 5065855361545993231475186094358861307023140195286647502427774640996288013498738\ 9084082463141215937582496469309719929323233713259369279544657096402662419726154\ 8036650019416113515731833161696294581203247383040574442544239760880492957125202\ 4548397206952660535476936045652828034483786215252820899318375624818277780054317\ 8015549522696281975368473303129655335360566039942005141552716580826217] ---------------------------- (A,B)= , {2, 5}, {2, 3, 4, 5} [P^2*x^9-2*P*x^9+P^2*x^7+x^9+2*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6+x^7+2*P^2*x^4-\ 5*P*x^5+2*x^6-2*P*x^4+2*x^5-P^2*x^2+2*P*x^3-2*P^2*x+4*P*x^2-2*x^3+P^2+2*P*x-2*x ^2-2*P+1, (C*x^5+x^3+x^2-1)/(C*x^5+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*( n-6)*a(n-1)+(-203*n^2+1771*n-2520)*a(n-2)+(208*n^2-2138*n+3864)*a(n-3)+(155*n-\ 783)*(n-8)*a(n-4)+(-81*n^2+1551*n-5736)*a(n-5)+(-314*n^2+4924*n-18420)*a(n-6)+( -263*n^2+3199*n-9456)*a(n-7)+(145*n^2-3533*n+19116)*a(n-8)+(356*n^2-6976*n+ 33456)*a(n-9)+(282*n^2-2724*n-1896)*a(n-10)+(54*n^2-2868*n+26484)*a(n-11)+(-130 *n^2+4724*n-40368)*a(n-12)+(22*n^2+592*n-10308)*a(n-13)+(48*n^2-816*n+2688)*a(n -14)+(63*n^2-2421*n+22548)*a(n-15)+(106*n^2-4202*n+40152)*a(n-16)+84*(n-17)*(n-\ 20)*a(n-17)+12*(7*n-116)*(n-18)*a(n-18)-6*(5*n-76)*(n-19)*a(n-19)+28*(2*n-33)*( n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 14, a(7) = 27, a(8) = 53, a(9) = 107, a(10) = 221, a(11) = 476, a(12) = 1081, a(13) = 2622, a(14) = 6852, a(15) = 19292, a(16) = 58066, a(17) = 184497, a(18) = 610757, a(19) = 2083225, a(20) = 7260837}, [1, 1, 2, 4, 7, 14, 27, 53, 107, 221 , 476, 1081, 2622, 6852, 19292, 58066, 184497, 610757, 2083225, 7260837, 25710035, 92125526, 333173244, 1213914062, 4450226704, 16400317337, 60715113668 , 225673716145, 841814231163, 3150268299606, 11823459559484, 44493463682810, 167844243771612, 634587410911031, 2404237855731448, 9126389252478116, 34705460660188216, 132197015695609581, 504340052299928859, 1926906827847894329, 7372161557239151262, 28241693054210407243, 108321908940611256072, 415951036179936906726, 1598974305922890938988, 6153033960353416719517, 23700788494265746971735, 91377813173889687145952, 352617279908981599512469, 1361861905603516348782146], 112533077523906920983273147842551085415756091853193\ 8384795768519934269683536559718574387725972672864053704439790011226990182179717\ 1983242553870973837809248725356137563918308899773515381255725597068211642278927\ 8054994400899394406158861797070172456242583115830397247439451950413702526829543\ 6437683131963905820181323579673944342782012998738265897709479218886953547336742\ 4328217800340510579214115329509554276143536042797159969205875639103944863505120\ 9372037225633360417663888802212744396302016557313359864634917364595098238983453\ 4081323733787260957272038953118559643066151185491169972574121506357123] ---------------------------- (A,B)= , {2, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^9+2*P^2*x^8+2*P^2*x^7+2*P^2*x^6+P^2*x^5+P*x^5-2*P^2*x^3+2*P*x^4 +P^2*x^2+2*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^6+x^4+x^3+x-1), {-5*n*(n-5)*a (n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(374*n^2-3688*n+6984 )*a(n-3)+(-379*n^2+3995*n-8880)*a(n-4)+(377*n^2-4375*n+11304)*a(n-5)+(-166*n^2+ 2444*n-8100)*a(n-6)+(-18*n^2+348*n-1464)*a(n-7)+(-133*n^2+1613*n-4380)*a(n-8)+( -68*n^2+1030*n-4176)*a(n-9)+(-62*n^2+382*n+288)*a(n-10)+(70*n^2-1676*n+8292)*a( n-11)+(196*n^2-2888*n+11352)*a(n-12)+(-25*n^2-811*n+8136)*a(n-13)+(158*n^2-2656 *n+11424)*a(n-14)+(14*n^2-412*n+2724)*a(n-15)+(34*n^2-644*n+3024)*a(n-16)+(23*n ^2-493*n+2628)*a(n-17)+2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 6, a(6) = 10, a(7) = 18, a(8) = 32, a(9) = 58, a(10) = 113, a(11) = 238, a(12) = 550, a(13) = 1412, a(14) = 3994, a(15) = 12195, a(16) = 39348, a(17) = 131865, a(18) = 453494}, [1, 1, 2, 4, 6, 10, 18, 32, 58, 113, 238, 550, 1412, 3994, 12195, 39348, 131865, 453494, 1588180, 5636633, 20211706, 73076220, 266033936, 974202563, 3585759767, 13257792883, 49216056045, 183362799282, 685385805521, 2569510886083, 9659319468393, 36402114921784, 137500953767890, 520485472405498, 1974096765334817, 7501107827626243, 28551298706121631, 108848250546152875, 415593185331272718, 1589011541125567512, 6083607647083018798, 23320498670453377982, 89500758955964969015, 343874591225439122121, 1322611773962203137880, 5092136477890828739033, 19623715683132323843292, 75693017209045342890603, 292216688714261257502582, 1129045408506240180521553], 947173989144838011934264140351933683635322456302671\ 5367197193124760978958611863603292901225288636441243869918529486036240307215779\ 0520463484187245370348028750270804746663090431615727491813062469109044154784121\ 0332684029730109902245874449867350156304083449978493769584399328140392700571659\ 7576408907964619202671211307955971828347484857824977385669647657858426444145952\ 2187054213394273146568254841932858510655824884724532749244519530195522135328668\ 4219570310891339769091251105742436908864790948809044646795877477428483625601086\ 016047817965973577500337582538936382336158047951174612898299913776146] ---------------------------- (A,B)= , {3, 4}, {} [P^2*x^5+2*P^2*x^4+3*P^2*x^3-2*P^2*x^2-2*P^2*x+3*P*x^2+P^2+2*P*x-2*P+1, (-C*x+1 )/((x^3+x^2-x)*C-x^3-x^2-x+1), {-2*n*(n-2)*a(n)+(23*n-22)*(n-3)*a(n-1)-12*(7*n-\ 13)*(n-4)*a(n-2)+(77*n^2-685*n+1290)*a(n-3)+(123*n^2-669*n+774)*a(n-4)+(-180*n^ 2+1530*n-3156)*a(n-5)+(-42*n^2+300*n-540)*a(n-6)+(28*n^2-506*n+1788)*a(n-7)+(45 *n^2-495*n+1374)*a(n-8)+6*(n-6)*(2*n-13)*a(n-9) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 90, a(8) = 227, a(9) = 610}, [1, 2, 4 , 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412, 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621, 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881, 21251652820815936901293000, 82264384899019041597380619], 7472004740884143994679\ 7500115054143850894490808095492271517477755837141819565368378034042832799884183\ 5392913837686600373300932714162324198384339468904976189263445246123260400561472\ 0971176536316575409273226450456885738387261012234298147398550894624041521122725\ 8418065952000831868639452064522393808424009512510684880499929093707510695924259\ 0524343250041487619140308542239299828657104647707710891827879577545503633219684\ 0751414469909154932710321709382180009144619429722667562379640581778042866289048\ 4858649562563977617574024186871725418568036789598683993711545110993394332384635\ 337309261531230970400] ---------------------------- (A,B)= , {3, 4}, {1} [4*P^2*x^5+4*P^2*x^4-P^2*x^3+4*P*x^4-6*P^2*x^2+6*P*x^3+P^2*x+5*P*x^2+x^3+P^2-4* P*x+2*x^2-2*P+3*x+1, ((-x^2-x)*C+x^2+x+1)/((2*x^3-x)*C-2*x^3-x^2+1), {n*(n-2)*a (n)+(-7*n^2+32*n-24)*a(n-1)-2*(n+4)*(2*n-3)*a(n-2)+(85*n^2-530*n+840)*a(n-3)+(-\ 37*n^2+236*n-288)*a(n-4)+(-225*n^2+2070*n-4884)*a(n-5)+(104*n^2-1504*n+5340)*a( n-6)+(205*n^2-2210*n+6576)*a(n-7)+(-98*n^2+2392*n-12156)*a(n-8)+(-100*n^2+1460* n-5448)*a(n-9)+(88*n^2-1616*n+7440)*a(n-10)+48*(2*n-17)*(n-10)*a(n-11) = 0, a(1 ) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 17, a(7) = 36, a(8) = 85, a(9) = 224, a(10) = 647, a(11) = 2000}, [1, 2, 3, 5, 9, 17, 36, 85, 224, 647, 2000, 6484, 21723, 74483, 259763, 917822, 3276851, 11799865, 42799749, 156210742, 573247625, 2113772902, 7827645554, 29098464539, 108545911859, 406184052471, 1524328356722, 5735563831043, 21633365928320, 81778976473344, 309782685041207, 1175727187627485, 4470258682147953, 17024873798278417, 64940223713226780, 248073368680160017, 948952946068108092, 3634732454711674572, 13938996586191566701, 53517101043194783999, 205697368456679919743, 791434864515537020686, 3048098573380616425499, 11750302183289638349580, 45337296155414542368372, 175077565790900388053591, 676638499166288583809521, 2617088442785095341033801, 10129798436181893217051428, 39236485029100754577702537], 36568564107213190277372537158246554117411276190063\ 3706100454321162018049344674041053899163921727384058120215061280144741422480817\ 8643381388872658567163316116814067693167370728709754484353141944908304502862710\ 9946930636249468974102432747802190207903260354846085402257781099144199325152179\ 6836841541386870995400641709450774906760094024168346694995352061953116232823824\ 0711778815579409850182657089044820709026391623234193545533992391053972504691589\ 4242373085313578944264578281957976095291710922185107311048549508605775424771674\ 842960608342876421964108425538600444139434139136270557052900289083609739] ---------------------------- (A,B)= , {3, 4}, {2} [P^2*x^5-4*P^2*x^4-2*P*x^5+2*P^2*x^3+6*P*x^4+x^5+8*P^2*x^2-2*P*x^3-2*x^4-8*P^2* x-9*P*x^2+x^3+2*P^2+12*P*x+3*x^2-4*P-4*x+2, ((x^3-x^2+x)*C-x^3+x^2-1)/((x^3-2*x ^2+x)*C-x^3+2*x^2+x-1), {-8*n*(n-2)*a(n)+(116*n^2-436*n+312)*a(n-1)+(-648*n^2+ 3480*n-4272)*a(n-2)+(1756*n^2-12140*n+20280)*a(n-3)+(-2348*n^2+20356*n-43416)*a (n-4)+(1270*n^2-15746*n+46428)*a(n-5)+(-86*n^2+8230*n-45732)*a(n-6)+(404*n^2-\ 14476*n+81768)*a(n-7)+(-620*n^2+15280*n-83256)*a(n-8)+(-128*n^2+652*n+4776)*a(n -9)+(509*n^2-9589*n+44910)*a(n-10)+(-254*n^2+5194*n-26340)*a(n-11)+20*(n-12)*(2 *n-19)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 90, a(8) = 226, a(9) = 602, a(10) = 1696, a(11) = 5026, a(12) = 15556}, [1, 2, 4, 8, 17, 38, 90, 226, 602, 1696, 5026, 15556, 49913, 164886, 557546, 1920776, 6717302, 23780796, 85044684, 306723424, 1114227730, 4072807076 , 14967853140, 55270014542, 204952214100, 762879252204, 2849289514278, 10674718137436, 40104781197433, 151061020581070, 570341354674746, 2158062455020688, 8182188835174998, 31080551836119372, 118267574186339864, 450764920004532528, 1720666198954356318, 6577550298321257172, 25177665542847917676, 96497592994379052004, 370285040839213077212, 1422479579198641419536, 5470410637518115578468, 21058804841474966770696, 81145633477762221957418, 312963460148151257299236, 1208092143122016431587764, 4667310429820513387575712, 18045835906947210222205204, 69825750747537715753764712], 62340494232687329240083381394606907282814312570495\ 1072310628377944333884137012956982903203693105410129106779388645037866495608374\ 1658459293471397580830575124134780355523527953077935388956132583724440587718893\ 6757974092406260827194922447192737958692529224911047093372026413745986884049243\ 3235046378185446207941213638625703165096926633444748512121716090644927961908803\ 0237683876162923954486412046412667104810855997756779705357113395167813410413944\ 6849222794664111363478471003430235939516927866194002543130481298560748357722938\ 623498397486265688340097200497346009177524274632503024538477241115052288] ---------------------------- (A,B)= , {3, 4}, {3} [P^2*x^6-2*P^2*x^5+5*P^2*x^4+2*P*x^5-8*P^2*x^3-4*P*x^4+9*P^2*x^2+9*P*x^3+x^4-5* P^2*x-12*P*x^2-2*x^3+P^2+8*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/((x^3-x^2)*C-x ^3+x^2-2*x+1), {3*n*(n-3)*a(n)+(-49*n^2+231*n-176)*a(n-1)+(331*n^2-2085*n+2768) *a(n-2)+(-1220*n^2+9480*n-17104)*a(n-3)+(2744*n^2-25068*n+55672)*a(n-4)+(-4005* n^2+41415*n-106488)*a(n-5)+(3940*n^2-44280*n+124472)*a(n-6)+(-2634*n^2+30222*n-\ 84480)*a(n-7)+(1115*n^2-10833*n+18328)*a(n-8)+(-176*n^2-1380*n+23696)*a(n-9)+(-\ 147*n^2+4533*n-29112)*a(n-10)+(158*n^2-3534*n+19552)*a(n-11)-6*(13*n-136)*(n-11 )*a(n-12)+12*(2*n-21)*(n-12)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 89, a(8) = 219, a(9) = 567, a(10) = 1544, a(11) = 4412, a(12) = 13175, a(13) = 40895}, [1, 2, 4, 8, 17, 38, 89, 219, 567, 1544, 4412, 13175, 40895, 131187, 432527, 1458529, 5009761, 17469380, 61680972, 220057420, 791993908, 2871753329, 10480068162, 38460237997, 141839334507, 525382803249, 1953652695248, 7290224263389, 27290499622454, 102455358790677, 385658305170166, 1455196046735031, 5503114871839705, 20854076863065012, 79177883573982942, 301154590971969940, 1147349907439867799, 4378005978574823154 , 16729718569582741970, 64016865421544748520, 245278093895870010409, 940913807360149602413, 3613586556042047775593, 13893057411465211566526, 53469150646260879508642, 205983329173927766868693, 794260845290712153275047, 3065328560898692481830317, 11840106459381307215693675, 45770119320688592071349511], 39285729341801563040249980793169137164095816284268\ 1426190486480151085763021990170984373686970636253578799625259887930972053584089\ 5980879375566756935332011422560380572515654399559740515326025766044949482543912\ 9318041035687151990640893272830224352622647183084447032408652432889374590567928\ 7049650737755556700217706528994049823230173982983043122630084918361382470994432\ 1017022132132704594396709343489856836320204957673744453079716653720792927338150\ 1211920298942447810328107439897968237253539453864159792730641167736460840046214\ 924837962057926012767101065912254213220545359776635267427601731398801619] ---------------------------- (A,B)= , {3, 4}, {4} [P^2*x^7+2*P^2*x^6-P^2*x^5-4*P^2*x^4+2*P*x^5+3*P*x^4+7*P^2*x^2-2*P*x^3-5*P^2*x-\ 8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4+x^3-x^2)*C-2*x+1), {4 *n*(n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(442*n^2-3262*n+4596)*a(n-2)+(-1537*n^ 2+13837*n-26898)*a(n-3)+(2897*n^2-30977*n+75834)*a(n-4)+(-2607*n^2+33315*n-\ 99702)*a(n-5)+(210*n^2-6000*n+28080)*a(n-6)+(1202*n^2-17084*n+59568)*a(n-7)+(-\ 149*n^2+5735*n-34038)*a(n-8)+(-612*n^2+8076*n-24120)*a(n-9)+(49*n^2-1873*n+ 11322)*a(n-10)+(192*n^2-2778*n+9444)*a(n-11)-4*(n-10)*(4*n-69)*a(n-12)+(-2*n^2-\ 4*n+288)*a(n-13)+4*(2*n-23)*(n-12)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a (4) = 8, a(5) = 17, a(6) = 37, a(7) = 83, a(8) = 192, a(9) = 459, a(10) = 1138, a(11) = 2936, a(12) = 7903, a(13) = 22218, a(14) = 65175}, [1, 2, 4, 8, 17, 37, 83, 192, 459, 1138, 2936, 7903, 22218, 65175, 198917, 628959, 2050153, 6855128, 23407513, 81308699, 286415136, 1020573407, 3671355698, 13312909731, 48602478278 , 178470974146, 658671943652, 2441717945560, 9087149807600, 33937859020234, 127149240402589, 477734739086633, 1799671466679912, 6795752854498261, 25717969310894055, 97525337941110410, 370523153672322732, 1410174597352181001, 5375745505630004669, 20524218985491716861, 78472061035063120081, 300432029499383256603, 1151664168013067587651, 4420003754398851129803, 16982747435696406651124, 65321405484883956189121, 251501845646945413997161, 969265212111199370796234, 3738860493752034608391477, 14434840535757446981197818 ], 1178801996032309399573084554121706211782273360484517940588928071905489844676\ 3954036539328536354196274375170948255397324732937116715552815893004601441299597\ 4593993136387044780795241912148167810156328389991810634069786933216489267224874\ 2218095595501694211471799988010468684355599375850564204115426353464838558776367\ 5409762336773294951230151028987462925076268440508938761451564931451904629238495\ 7643135075416959486759254862140826265632451603988924433027074095057111777083149\ 2730601990132657376825668538896192626228111644226138976218072080909382553689115\ 9682454178109474509747342796144027641560751775] ---------------------------- (A,B)= , {3, 4}, {5} [P^2*x^9+4*P^2*x^8+7*P^2*x^7+6*P^2*x^6-7*P^2*x^5+2*P*x^6-7*P^2*x^4+9*P*x^5-6*P^ 2*x^3+6*P*x^4+15*P^2*x^2+2*P*x^3-7*P^2*x-20*P*x^2+x^3+P^2+12*P*x+6*x^2-2*P-5*x+ 1, (-C*x^2-2*x+1)/((x^5+x^4+x^3-x^2)*C+x^4+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-\ 101*n^2+673*n-552)*a(n-1)+(859*n^2-7127*n+10488)*a(n-2)+(-3968*n^2+39370*n-\ 80232)*a(n-3)+(10624*n^2-122942*n+314640)*a(n-4)+(-15950*n^2+212224*n-650352)*a (n-5)+(11035*n^2-167735*n+601104)*a(n-6)+(-965*n^2+11173*n-33768)*a(n-7)+(1755* n^2-4587*n-70416)*a(n-8)+(-6438*n^2+102900*n-399504)*a(n-9)+(690*n^2-23712*n+ 157416)*a(n-10)+(2191*n^2-44357*n+215136)*a(n-11)+(1402*n^2-23474*n+94080)*a(n-\ 12)+(-207*n^2+8667*n-66648)*a(n-13)+(-504*n^2+11334*n-63672)*a(n-14)+(-174*n^2+ 3906*n-21720)*a(n-15)+(-10*n^2+152*n-288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0 , a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 38, a(7) = 89, a(8) = 218, a(9) = 556, a(10) = 1470, a(11) = 4013, a(12) = 11275, a(13) = 32521, a( 14) = 96112, a(15) = 290606, a(16) = 897827, a(17) = 2830919}, [1, 2, 4, 8, 17, 38, 89, 218, 556, 1470, 4013, 11275, 32521, 96112, 290606, 897827, 2830919, 9098930, 29774040, 99059883, 334640449, 1146257578, 3975782350, 13945639708, 49408895435, 176620768917, 636376878693, 2309066465569, 8430761932916, 30953285631364, 114207776916400, 423259836801093, 1574868079479209, 5880797021621420, 22031016469313911, 82777020545806521, 311852258588739344, 1177749063971033930, 4457940705361997034, 16908946724946276385, 64258626916747353747, 244634862124262177676, 932874386620003596174, 3562849011483141326910, 13626912767314469639519, 52189599870436063466196, 200134161084621479103774, 768381386549554726346561, 2953393066647864114580047, 11363901330006054537113474], 82507813448679839868413892781781343186552558334984\ 1106741425275276031922567891086969615061061600775200746400300948167259825566018\ 7251600044885892551200828840980394802647682425239991112950617540708764515518065\ 4641488347805443443966984765533960944654035083796333909436842444956700775589079\ 7293304999414147232106779735861974227845932588599397242005841234853727821417923\ 2170438195906906805368060399081924584290744568102849346910388488270140933594371\ 9241390487956267723003364410182822583551942958648747238990932799675452822955728\ 71240720892412167480965306723634127719277197159590881430209723050136685] ---------------------------- (A,B)= , {3, 4}, {1, 2} [P^2*x^7-2*P^2*x^6-3*P^2*x^5+5*P^2*x^4+6*P^2*x^3-2*P*x^4-5*P^2*x^2-3*P^2*x+7*P* x^2+2*P^2+2*P*x-4*P+x+2, (C*x-x-1)/((x^4-x^3-x^2+x)*C-x^4+x^3+2*x^2-1), {-8*n*( n-2)*a(n)+(86*n^2-346*n+252)*a(n-1)+(-271*n^2+1631*n-2082)*a(n-2)+(95*n^2-1231* n+2562)*a(n-3)+(661*n^2-4199*n+6438)*a(n-4)+(-546*n^2+5076*n-11436)*a(n-5)+(-\ 511*n^2+2855*n-1890)*a(n-6)+(455*n^2-4273*n+9402)*a(n-7)+(112*n^2+790*n-8784)*a (n-8)+(-140*n^2+496*n+2688)*a(n-9)+(119*n^2-2293*n+10842)*a(n-10)+(-14*n^2+502* n-3132)*a(n-11)+(-62*n^2+1114*n-4980)*a(n-12)+12*(2*n-17)*(n-10)*a(n-13) = 0, a (1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 17, a(7) = 36, a(8) = 84, a(9) = 218, a(10) = 618, a(11) = 1877, a(12) = 5994, a(13) = 19836}, [1, 2, 3, 5, 9, 17, 36, 84, 218, 618, 1877, 5994, 19836, 67349, 233048, 818226, 2906101, 10419432, 37653800, 136994810, 501349229, 1844193337, 6814730494, 25284624963, 94157028715, 351792429234, 1318341730006, 4954099834731, 18663730324968, 70476227071967, 266698691826427, 1011265499693396, 3841623818391478, 14618921377732143, 55720831843470306, 212704773610898571, 813118796248544417, 3112513428760339808, 11929314299385869017, 45775818217751386412, 175851075723263674485, 676264141076265401425, 2603312218211668115825, 10031195128592660125950, 38687904866745059846351, 149339575491469202027345, 576944678647486434616919, 2230676488247341999504593, 8631114268955608050728472, 33420327924295762624987380], 30706252948291716901608\ 6183029716312559506092862716539826422137595929468635173428845945912214231966752\ 4971258630854300498891689728105847414252905688208121952673744568322146268145164\ 8086985410719391194956298564158342336697390332837660604627390709733669363315720\ 3292811910736510912809998477357996906326340625926867235303394556568737777408217\ 5617721263900049140190315820658857478871589454364552453439580961401102324443857\ 9828671937042844295515450806093288809841883171470096439254558508795655391617656\ 0727304135023257075027972918846855430545671394614189420923591248465955997840945\ 08865227682966571429] ---------------------------- (A,B)= , {3, 4}, {1, 3} [P^2*x^6+P^2*x^4+2*P*x^5-2*P^2*x^3+3*P^2*x^2+3*P*x^3+x^4-3*P^2*x-4*P*x^2+P^2+4* P*x+2*x^2-2*P-x+1, (-C*x^2+x^2+1)/((x^3-x^2)*C-x^3-x+1), {3*n*(n-3)*a(n)+(-39*n ^2+189*n-144)*a(n-1)+(193*n^2-1251*n+1664)*a(n-2)+(-478*n^2+3786*n-6848)*a(n-3) +(696*n^2-6444*n+14472)*a(n-4)+(-681*n^2+7083*n-18408)*a(n-5)+(466*n^2-5166*n+ 14216)*a(n-6)+(-196*n^2+1716*n-2240)*a(n-7)+(51*n^2+711*n-8424)*a(n-8)+(-10*n^2 -954*n+8512)*a(n-9)+(-11*n^2+669*n-5128)*a(n-10)+(14*n^2-378*n+2368)*a(n-11)-2* (7*n-64)*(n-11)*a(n-12)+12*(2*n-21)*(n-12)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3 ) = 3, a(4) = 5, a(5) = 9, a(6) = 17, a(7) = 35, a(8) = 79, a(9) = 196, a(10) = 531, a(11) = 1548, a(12) = 4777, a(13) = 15380}, [1, 2, 3, 5, 9, 17, 35, 79, 196, 531, 1548, 4777, 15380, 51091, 173729, 601378, 2111101, 7495199, 26860786, 97024164, 352840492, 1290712679, 4745956192, 17531012580, 65023160264, 242063182233, 904142908033, 3387367919993, 12725978685342, 47931876989452, 180956815600023, 684645293850531, 2595541283788421, 9858268858196575, 37508426555867068, 142943043366796536, 545580020462036220, 2085328912395136846, 7981314289600540723, 30586113246175744452, 117352770572119723955, 450768191388277787973, 1733316966360738904405, 6671807466179544024728, 25705592389009148806257, 99131064308480282580212, 382622840158924982403661, 1478064056264781268358200, 5714264721656407608567099, 22108373516251242548875399], 19625033967812824753348460977204888675839737448971\ 5880296563331866841833333437130732349905276902788267815726967477053413332570735\ 6287341603719274745502483193305113394008909464867900053030130309896131365357856\ 7121886284357559924967371747167775231584149326278070756536870511837449236850032\ 4431416503244794923570167767671375860579429361344253238826486212772047211104216\ 3471730400979523965874302604771290528626471348085914676569739996282346532530254\ 6285017462641348492673126902928606290896285392262074187597225926628297902149987\ 068137024912926151522481502581171180951199694647876741888052937616454978] ---------------------------- (A,B)= , {3, 4}, {1, 4} [4*P^2*x^7-6*P^2*x^5+4*P*x^6-P^2*x^4+4*P*x^5+6*P^2*x^3-3*P*x^4+x^5-6*P*x^3+2*x^ 4-3*P^2*x+2*P*x^2+x^3+P^2+4*P*x-x^2-2*P-x+1, (1+(-x^3-x^2)*C)/((2*x^4-x^2)*C-x^ 2-x+1), {4*n*(n-4)*a(n)+(-52*n^2+304*n-240)*a(n-1)+(242*n^2-1844*n+2592)*a(n-2) +(-433*n^2+4159*n-8190)*a(n-3)+(-41*n^2-487*n+2478)*a(n-4)+(1029*n^2-10983*n+ 28266)*a(n-5)+(-637*n^2+9343*n-31602)*a(n-6)+(-1069*n^2+12163*n-34590)*a(n-7)+( 966*n^2-15798*n+64524)*a(n-8)+(717*n^2-5991*n+2250)*a(n-9)+(-866*n^2+13436*n-\ 54096)*a(n-10)+(-4*n^2-3272*n+34512)*a(n-11)+(308*n^2-5492*n+24216)*a(n-12)-8*( 17*n-210)*(2*n-29)*a(n-13)-48*(n-11)*(n-14)*a(n-14)+96*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 16, a(7) = 31, a( 8) = 63, a(9) = 138, a(10) = 328, a(11) = 845, a(12) = 2349, a(13) = 6961, a(14 ) = 21707, a(15) = 70384}, [1, 2, 3, 5, 9, 16, 31, 63, 138, 328, 845, 2349, 6961, 21707, 70384, 235039, 802630, 2788579, 9821173, 34972083, 125668481, 455046018, 1658556747, 6079611146, 22397024413, 82875771989, 307881157254, 1147849216638, 4293251672521, 16105038166970, 60576189617838, 228408157796902, 863191040023639, 3268991222588337, 12404126244829009, 47152560822385948, 179547019842813191, 684758265175967448, 2615407913692488843, 10003351671059154091, 38310690227868886608, 146902851405326999688, 563957654238091525657, 2167411804150879892098, 8338537113490689728348, 32112089367799188529086, 123781588546382547101331, 477564937131956808094213, 1844077791314846647278347, 7126549178175283693277321], 603743659068103918140748\ 8625381408712427278992392709675235581610290640413230232816216632513199346840037\ 2107910146363957916284979866990018397287582957651120342534752435797525002475492\ 0438610703466463863243063015421196804368522841009460080618244533690491272813100\ 9450016830415329189768858125471809467576265397395854287976329319748787375310503\ 3233733969452354142835028215919985818049143159095337176448491181658767507894182\ 7368955546437550986662806458388207864318623212989670725312217023047903506659380\ 6910096633334910186472189207489618590112841137131536792591992459442137904355506\ 940559205989164375] ---------------------------- (A,B)= , {3, 4}, {1, 5} [4*P^2*x^9+12*P^2*x^8+9*P^2*x^7+4*P*x^8-8*P^2*x^6+14*P*x^7-19*P^2*x^5+18*P*x^6+ x^7+9*P*x^5+4*x^6+9*P^2*x^3-14*P*x^4+7*x^5+4*P^2*x^2-12*P*x^3+8*x^4-5*P^2*x-2*P *x^2+2*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((-x^4-x^3-x^2)*C-x^3-x^2-x+1)/((2*x^5+x^4- x^2)*C+2*x^4+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(537*n^ 2-4539*n+6660)*a(n-2)+(-1624*n^2+16634*n-34020)*a(n-3)+(1851*n^2-23283*n+61536) *a(n-4)+(1135*n^2-11801*n+28644)*a(n-5)+(-2500*n^2+40448*n-143784)*a(n-6)+(-\ 4535*n^2+56077*n-175332)*a(n-7)+(6094*n^2-102602*n+418632)*a(n-8)+(6232*n^2-\ 95834*n+380220)*a(n-9)+(-4400*n^2+96160*n-514224)*a(n-10)+(-8099*n^2+148231*n-\ 695664)*a(n-11)+(1174*n^2-51074*n+429960)*a(n-12)+(5242*n^2-120650*n+722592)*a( n-13)+(32*n^2+22628*n-291744)*a(n-14)+(-2860*n^2+92684*n-742080)*a(n-15)+(-68*n ^2+2392*n-22704)*a(n-16)+(2128*n^2-66728*n+523440)*a(n-17)+(1456*n^2-47168*n+ 381312)*a(n-18)+160*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 17, a(7) = 35, a(8) = 78, a(9) = 187, a(10) = 478, a (11) = 1288, a(12) = 3625, a(13) = 10581, a(14) = 31865, a(15) = 98626, a(16) = 312774, a(17) = 1013688, a(18) = 3349685, a(19) = 11261697}, [1, 2, 3, 5, 9, 17 , 35, 78, 187, 478, 1288, 3625, 10581, 31865, 98626, 312774, 1013688, 3349685, 11261697, 38445926, 133033979, 465838514, 1648315691, 5886056027, 21188737588, 76818349797, 280249212570, 1028097591540, 3790264424860, 14035310415419, 52179003355503, 194680105628077, 728706945612089, 2735662213842584, 10297674423781192, 38858460254424536, 146965720368215801, 556999432885168643, 2115117098470727700, 8046278191619868066, 30660761139687088093, 117017231956448778808, 447251889927071836599, 1711790570969349990361, 6560083784307539905838, 25170733447817827329250, 96689723144424980526199, 371822318891305628126109, 1431318346687336585194198, 5515178868796850559725154] , 41928654303697960096373064891877327267616637728880260361975631726824757507057\ 3520642726740657674689213967692911552999667876858142740378338304903990448508565\ 1799576008494910209520916709315526311478797376448258816538108813792927812264105\ 9552337801369812804851804517324814531863319015967531384506548721417030304718260\ 9286678938415193855086323325046262244757689629309407424351207962576096345231639\ 8308489100363483329679347926044024003978669677742619897140868372972578692611118\ 2765914010137822325932592234372789339632742830971538146615409385626422067074575\ 37325298260135405297231642280371896126209384] ---------------------------- (A,B)= , {3, 4}, {2, 3} [P^2*x^6-2*P*x^6-4*P^2*x^4+x^6+4*P^2*x^3+6*P*x^4+3*P^2*x^2-7*P*x^3-2*x^4-4*P^2* x-2*P*x^2+3*x^3+P^2+6*P*x-2*P-2*x+1, (C*x^3-x^3+x-1)/(C*x^3-x^3+2*x-1), {-3*n*( n-3)*a(n)+(44*n^2-210*n+160)*a(n-1)+(-248*n^2+1602*n-2140)*a(n-2)+(658*n^2-5376 *n+9920)*a(n-3)+(-733*n^2+7665*n-18476)*a(n-4)+(-112*n^2-810*n+6496)*a(n-5)+( 920*n^2-8430*n+17668)*a(n-6)+(-536*n^2+5736*n-13936)*a(n-7)+(-6*n^2-1398*n+ 11712)*a(n-8)+(-140*n^2+5232*n-36448)*a(n-9)+(96*n^2-2376*n+14640)*a(n-10)+(238 *n^2-5964*n+36800)*a(n-11)-(181*n-2132)*(n-13)*a(n-12)-2*(11*n-112)*(n-13)*a(n-\ 13)+20*(n-14)*(2*n-23)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5 ) = 17, a(6) = 38, a(7) = 89, a(8) = 218, a(9) = 559, a(10) = 1502, a(11) = 4227, a(12) = 12430, a(13) = 38040, a(14) = 120548}, [1, 2, 4, 8, 17, 38, 89, 218, 559, 1502, 4227, 12430, 38040, 120548, 393487, 1316374, 4493676, 15595836, 54867573, 195210698, 701082736, 2537934228, 9249885718, 33910776620, 124957442805, 462536988342, 1718990592259, 6411530952366, 23991530366273, 90039156487858, 338820466885384, 1278129815184352, 4832390581654025, 18308622610612878, 69500725813154201, 264304018075459818, 1006806276691898983, 3841210552065597598, 14676663313463118212, 56154502326439764008, 215131705862683495099, 825191064194755847498, 3168876348592350222918, 12182309219364584936036, 46881612326677434681602, 180593055920603610611852, 696312002718515867715731, 2687146559211803177285646, 10378753432044616125305193 , 40118844665665214746058602], 343817008383114441266338277942611574304232749739\ 1284083358231502235065173164499720625050851132234515867592009199983726821700012\ 9360489220805558633879077247339429302845999249118947185448248377374105978773933\ 9951962334918847451514990601283279325607606641370599425451532866209421615079246\ 1469456947318334241062030712354626704286967383452308724869032915943172603546489\ 8266268535388359817805864799187440894181764066559015180204377020560583218016947\ 1105230476136623815867148491471853907980268751492283490639884791087318879525457\ 75872042550289197176246499203803727428875208986025174547340064952109616376] ---------------------------- (A,B)= , {3, 4}, {2, 4} [P^2*x^7-4*P^2*x^6-2*P*x^7+6*P^2*x^5+6*P*x^6+x^7-2*P^2*x^4-8*P*x^5-2*x^6-4*P^2* x^3+3*P*x^4+3*x^5+8*P^2*x^2+4*P*x^3-x^4-5*P^2*x-10*P*x^2-x^3+P^2+8*P*x+3*x^2-2* P-3*x+1, ((x^4-x^3+x^2)*C+x-1)/((x^4-2*x^3+x^2)*C+2*x-1), {-4*n*(n-4)*a(n)+(66* n^2-378*n+300)*a(n-1)+(-448*n^2+3298*n-4644)*a(n-2)+(1630*n^2-14560*n+28224)*a( n-3)+(-3464*n^2+36368*n-88248)*a(n-4)+(4305*n^2-52623*n+153426)*a(n-5)+(-2623*n ^2+39985*n-144126)*a(n-6)+(-497*n^2-4783*n+56598)*a(n-7)+(2307*n^2-17439*n-6930 )*a(n-8)+(-1670*n^2+7496*n+68544)*a(n-9)+(266*n^2+10834*n-137772)*a(n-10)+(18*n ^2-6798*n+74748)*a(n-11)+(611*n^2-13757*n+76590)*a(n-12)+(-970*n^2+25150*n-\ 162948)*a(n-13)+(693*n^2-18945*n+129282)*a(n-14)+(-254*n^2+7226*n-51180)*a(n-15 )+20*(n-16)*(2*n-27)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 37, a(7) = 83, a(8) = 191, a(9) = 453, a(10) = 1111, a(11) = 2831, a(12) = 7523, a(13) = 20896, a(14) = 60667, a(15) = 183672, a(16) = 577445}, [1 , 2, 4, 8, 17, 37, 83, 191, 453, 1111, 2831, 7523, 20896, 60667, 183672, 577445 , 1875396, 6258227, 21351590, 74163193, 261353966, 931905622, 3355065811, 12176137491, 44488780782, 163492322876, 603828432289, 2239906463853, 8341187394021, 31169346835102, 116836695863865, 439193327975291, 1655193169467507, 6252655590371236, 23671274563938941, 89794239494535533, 341257092007402905, 1299166861528703864, 4953906766647714179, 18918429064743307722, 72349538212223071266, 277052986788808687123, 1062264253784897079036, 4077689727076591726571, 15670378556776557306931, 60284079127844143635610, 232145246315840161600802, 894806248329026052463706, 3452152330002226581026051, 13329804884289083618334417], 10943793470117849304457\ 4262278153887038682706322229966934578466880137854237102292654161929093963064719\ 0781605175534303586177912829020402568339612148501330996444532663982063623504477\ 6043588639060378170404531740523424205816526970411219267743406880886057822200010\ 3709394602337470999132607871684873149281383831528288753826944145468782523930050\ 2013842323201408914239004312733921838476284433962432493839208098279686108769291\ 4643014742308210777979937068485020998645255998799324513210314749140372861342192\ 9195940196733917820915070670684124687462247970519281621506090437046539832683810\ 98452689807883920599] ---------------------------- (A,B)= , {3, 4}, {2, 5} [P^2*x^9-2*P^2*x^8-2*P*x^9-6*P^2*x^7+2*P*x^8+x^9+10*P^2*x^6+10*P*x^7+15*P^2*x^5 -10*P*x^6-3*x^7-23*P^2*x^4-15*P*x^5+4*x^6-3*P^2*x^3+32*P*x^4+5*x^5+15*P^2*x^2-4 *P*x^3-10*x^4-7*P^2*x-20*P*x^2+4*x^3+P^2+12*P*x+6*x^2-2*P-5*x+1, ((x^5-x^4+x^2) *C+x^4-x^3+2*x-1)/((x^5-2*x^4-x^3+x^2)*C+x^4-2*x^3-x^2+3*x-1), {-5*n*(n-5)*a(n) +(101*n^2-673*n+552)*a(n-1)+(-859*n^2+7127*n-10488)*a(n-2)+(3947*n^2-39211*n+ 79944)*a(n-3)+(-10237*n^2+119357*n-306504)*a(n-4)+(13009*n^2-180185*n+563832)*a (n-5)+(746*n^2+20570*n-142824)*a(n-6)+(-24968*n^2+355144*n-1258800)*a(n-7)+( 25985*n^2-441157*n+1858800)*a(n-8)+(3020*n^2-7672*n-173112)*a(n-9)+(-18897*n^2+ 323481*n-1335984)*a(n-10)+(6125*n^2-134953*n+723720)*a(n-11)+(2063*n^2+7961*n-\ 389160)*a(n-12)+(1365*n^2-72213*n+723432)*a(n-13)+(654*n^2-28290*n+261816)*a(n-\ 14)+(-3316*n^2+115184*n-984576)*a(n-15)+(390*n^2-15630*n+151296)*a(n-16)+(1275* n^2-43311*n+367536)*a(n-17)+(-290*n^2+10378*n-92760)*a(n-18)+(-182*n^2+6454*n-\ 56784)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a( 4) = 8, a(5) = 17, a(6) = 38, a(7) = 89, a(8) = 217, a(9) = 548, a(10) = 1428, a(11) = 3830, a(12) = 10556, a(13) = 29868, a(14) = 86703, a(15) = 258063, a(16 ) = 786987, a(17) = 2456630, a(18) = 7839683, a(19) = 25537984, a(20) = 84774189}, [1, 2, 4, 8, 17, 38, 89, 217, 548, 1428, 3830, 10556, 29868, 86703, 258063, 786987, 2456630, 7839683, 25537984, 84774189, 286249910, 981393462, 3410336373, 11992236559, 42609973520, 152778405520, 552148429505, 2009389378431 , 7357312601900, 27083666886496, 100175524472970, 372095138075205, 1387363414023163, 5190437945194484, 19478358825176872, 73301348488191599, 276551390358317793, 1045805179854311929, 3963283467353664355, 15049324235520280968, 57249642094835043059, 218155378380782451969, 832618296792504835320, 3182493777195728389015, 12181197197841068797450, 46684886248359302593622, 179140216130859668199493, 688192402553434841897501, 2646664042016034582401567, 10189067282664407548709178], 75188236046258747023815\ 2560110771505121850295800695659322526909276445186686767000395691456104084778064\ 6717120953500922876044143605693046036355049542921764405004838601756030267202730\ 2903750486918077218368310356818583673751349007698627878448530809178744642429010\ 3978607931744025128717859155962642213951674992392219388207567631345645806968302\ 5557553701656895390641926015329459663074255556134930026195881549314087262151912\ 1832283872029609736896596256688388075592388022558746199554293061132308820098692\ 1653548992667446068538773598247206403052368217526000024317412732382610465010128\ 0647893646573701488] ---------------------------- (A,B)= , {3, 4}, {3, 4} [P^2*x^7-2*P^2*x^6+P^2*x^5+2*P*x^6-2*P^2*x^4-2*P*x^5+3*P^2*x^3+P*x^4+x^5+3*P^2* x^2-4*P*x^3-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (-C*x^3-x+1)/((x^4-x^3)*C-\ 2*x+1), {4*n*(n-4)*a(n)+(-59*n^2+341*n-270)*a(n-1)+(336*n^2-2514*n+3540)*a(n-2) +(-909*n^2+8343*n-16266)*a(n-3)+(1075*n^2-11995*n+29898)*a(n-4)+(-38*n^2+1988*n -8736)*a(n-5)+(-1035*n^2+11865*n-33558)*a(n-6)+(776*n^2-8642*n+22716)*a(n-7)+(-\ 303*n^2+141*n+16578)*a(n-8)+(294*n^2-348*n-17496)*a(n-9)+(-178*n^2+1678*n-1452) *a(n-10)+(44*n^2-1640*n+12912)*a(n-11)-6*(n-11)*(5*n-134)*a(n-12)+24*(n-12)*(3* n-38)*a(n-13)-2*(5*n-62)*(7*n-93)*a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 37, a(7) = 82, a(8) = 186, a(9) = 433, a(10) = 1039, a(11) = 2584, a(12) = 6696, a(13) = 18152, a(14) = 51565, a(15) = 153321}, [1, 2, 4, 8, 17, 37, 82, 186, 433, 1039, 2584, 6696, 18152, 51565, 153321, 475372, 1528579, 5066923, 17214964, 59650596, 209951256, 748255824, 2693801231, 9778538369, 35741717652, 131404765448, 485540455923, 1801931823941, 6713140022548, 25096020740803, 94107601539230, 353881865788074, 1334128572430110, 5041385329040913, 19091240034160216, 72440189502950680, 275374441260657334, 1048601905059228392, 3999363240114171955, 15276347197461724764, 58432741527944795014, 223802257631502772857, 858244060404985713000, 3295071776395243025800, 12664814454181595735231, 48728954002853464886817, 187674862230624683741822, 723492694022599465851144, 2791586689978106527704504, 10780486938273912569669841], 88947844907818027117765\ 8161657589445640944570234294021655583111292142777145322722960617917707560699849\ 9035694886143760284492065946501228433424888876420800787567541287027167633685376\ 4452223591901668446205449751229009515625711217258836686724120211023469324713031\ 9931451988910484960288003673635401174052912532787635865264304470001585846551521\ 0186896458126123244180316881861609984462534946084196623931179869931743066876126\ 4395911339090715334921881367903446357185644006648196536690224483942294080460914\ 1681083368991473024235006254295330592509394017675924118156776539310637343684781\ 3686033804546017265] ---------------------------- (A,B)= , {3, 4}, {3, 5} [P^2*x^9+P^2*x^7+2*P*x^8+4*P^2*x^6-12*P^2*x^5+x^7+17*P^2*x^4+11*P*x^5-22*P^2*x^ 3-22*P*x^4-x^5+18*P^2*x^2+28*P*x^3+7*x^4-7*P^2*x-26*P*x^2-9*x^3+P^2+12*P*x+9*x^ 2-2*P-5*x+1, ((-x^4+x^3-x^2)*C-x^3+x^2-2*x+1)/((x^5-x^4+2*x^3-x^2)*C+x^4-x^3+2* x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+(883*n^2-7301*n+10740)* a(n-2)+(-4413*n^2+43359*n-88140)*a(n-3)+(14072*n^2-159568*n+405168)*a(n-4)+(-\ 30435*n^2+389619*n-1170552)*a(n-5)+(46798*n^2-663614*n+2275800)*a(n-6)+(-53628* n^2+827664*n-3149820)*a(n-7)+(47682*n^2-790644*n+3267432)*a(n-8)+(-33023*n^2+ 588349*n-2621484)*a(n-9)+(17031*n^2-333705*n+1637940)*a(n-10)+(-6148*n^2+144140 *n-844980)*a(n-11)+(1415*n^2-54559*n+447216)*a(n-12)+(-200*n^2+24982*n-279012)* a(n-13)+(242*n^2-17788*n+191928)*a(n-14)+(-290*n^2+12808*n-122700)*a(n-15)+(94* n^2-3596*n+32736)*a(n-16)+(43*n^2-1427*n+11784)*a(n-17)-2*(11*n-156)*(n-17)*a(n -18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a( 5) = 17, a(6) = 38, a(7) = 88, a(8) = 210, a(9) = 515, a(10) = 1296, a(11) = 3346, a(12) = 8869, a(13) = 24163, a(14) = 67744, a(15) = 195616, a(16) = 581894, a(17) = 1782091, a(18) = 5611080, a(19) = 18125129}, [1, 2, 4, 8, 17, 38, 88, 210, 515, 1296, 3346, 8869, 24163, 67744, 195616, 581894, 1782091, 5611080, 18125129, 59913614, 202109685, 693882628, 2418376129, 8537345452, 30467734081, 109740065557, 398389346314, 1456066833132, 5352870019465, 19778618732992, 73407247245872, 273521776647716, 1022747326020558, 3836291491004355, 14430752806201092, 54423601509515379, 205735401999184210, 779416778777801330, 2958663989568045734, 11251795282583047393, 42863818353511035600, 163550411223037160510, 624968960761189849688, 2391498804678897695741, 9163252892730409371284, 35153073192843977156620, 135014498691594932343851, 519126290644304177360570, 1998092155939252741871421, 7698113913221966214387065], 582741809198428698955062092318638324737847919040517\ 3046759547324781309147133790562818802753426820260110206304669860923376563255140\ 7206012903797735298981984806239586101708083447299061911163118667063878779190906\ 7164828492672358368590808588086891442750650774176872401431767032030775209254706\ 2713858503832307123517427207779354182816332179565389930253977049504618840349413\ 2478028760485237308365808675656099655879305410799314496784836368154475568133925\ 7857413793465786861900982789734984502941321019215279738644477467273460637171801\ 3015336716304601945427571137961897044940808154665242500115852523820711] ---------------------------- (A,B)= , {3, 4}, {4, 5} [P^2*x^9+4*P^2*x^8+3*P^2*x^7-4*P^2*x^6+2*P*x^7-9*P^2*x^5+6*P*x^6-P^2*x^4+5*P*x^ 5+9*P^2*x^3-4*P*x^4+x^5+P^2*x^2-12*P*x^3+2*x^4-4*P^2*x+2*P*x^2+3*x^3+P^2+6*P*x-\ 2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^5+x^4-x^3)*C+x^4+x^3-x^2-2*x+1), {5*n*(n-\ 5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(408*n^2-3486*n+5100)*a(n-2)+(-935*n^2+9775* n-19968)*a(n-3)+(246*n^2-4356*n+12444)*a(n-4)+(2382*n^2-29112*n+84636)*a(n-5)+( -2309*n^2+35599*n-127668)*a(n-6)+(-2772*n^2+37890*n-128316)*a(n-7)+(3064*n^2-\ 55256*n+241032)*a(n-8)+(2752*n^2-41774*n+156348)*a(n-9)+(-1638*n^2+37494*n-\ 204096)*a(n-10)+(-2245*n^2+37823*n-154908)*a(n-11)+(140*n^2-9028*n+80040)*a(n-\ 12)+(916*n^2-17684*n+83112)*a(n-13)+(80*n^2+1400*n-29040)*a(n-14)+(-154*n^2+ 4466*n-32256)*a(n-15)+(76*n^2-2372*n+18336)*a(n-16)+(106*n^2-3194*n+24048)*a(n-\ 17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5 ) = 17, a(6) = 37, a(7) = 82, a(8) = 185, a(9) = 424, a(10) = 988, a(11) = 2346 , a(12) = 5696, a(13) = 14205, a(14) = 36573, a(15) = 97699, a(16) = 271842, a( 17) = 789306, a(18) = 2389891}, [1, 2, 4, 8, 17, 37, 82, 185, 424, 988, 2346, 5696, 14205, 36573, 97699, 271842, 789306, 2389891, 7522796, 24501659, 82124111 , 281774710, 985050732, 3495163321, 12549024839, 45485580954, 166146629622, 610778094607, 2257402509293, 8381659505933, 31245184554391, 116885236506634, 438623220708457, 1650597400318512, 6227208792418950, 23547852354057435, 89234245781007240, 338814544253774136, 1288782450630691486, 4910531553684053147 , 18739548942545759097, 71618812073183043040, 274089567034058198157, 1050314088797968321770, 4029715385489129096514, 15478474431124659298952, 59518665663920751259768, 229099625551964847926712, 882711221158165718983629, 3404197073455789201686862], 266813221635398947973789867024101768691061973128791\ 8049040594110671295532786383273592513082178574213878813731903906186101811575992\ 5844150145479084207855209574824758048874197760909328905582819827428451657496342\ 9435078927275354921066844658760594261604851848747062370684267347190770182635732\ 3489740838778449575179454619700673978010717665764088597260613583126444287190816\ 5623958755822546862797328288219184207594918001280073919258990081850352855391244\ 6969774563390631409597646333697741849232009478864148333400864822589259502913967\ 4893782529207991228611510651391904229814881799958924115933196334731192] ---------------------------- (A,B)= , {3, 4}, {1, 2, 3} [P^2*x^8-2*P^2*x^6-P^2*x^5+4*P^2*x^4+P^2*x^3-2*P*x^4-P^2*x^2+P*x^3-2*P^2*x+2*P* x^2+P^2+2*P*x-2*P+1, -1/(C*x^4-x^4+x^2+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4) *a(n-1)+(-126*n^2+852*n-1140)*a(n-2)+(145*n^2-1269*n+2360)*a(n-3)+(53*n^2-387*n +652)*a(n-4)+(-38*n^2+942*n-3412)*a(n-5)+(-296*n^2+2166*n-2944)*a(n-6)+(147*n^2 -1533*n+3228)*a(n-7)+(199*n^2-1911*n+4448)*a(n-8)+(-56*n^2+774*n-2272)*a(n-9)+( -87*n^2+549*n+156)*a(n-10)+2*(13*n-20)*(n-7)*a(n-11)+(8*n^2-12*n-440)*a(n-12)-2 *(n-8)*(n-10)*a(n-13)+4*(2*n-19)*(n-10)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 17, a(7) = 35, a(8) = 78, a(9) = 190, a(10) = 504 , a(11) = 1441, a(12) = 4378, a(13) = 13934, a(14) = 45914}, [1, 2, 3, 5, 9, 17 , 35, 78, 190, 504, 1441, 4378, 13934, 45914, 155255, 535361, 1874297, 6641670, 23768442, 85763188, 311632687, 1139231245, 4186756420, 15458695487, 57316078196 , 213306251512, 796521201880, 2983481398174, 11206380411024, 42200943322371, 159296003417560, 602608270913548, 2284247504653295, 8674950042561258, 33002808527361471, 125760665794689039, 479958324365145865, 1834366011080263050, 7020288090577288592, 26901489690892962144, 103209354523788867420, 396419114096491020277, 1524251592244827785161, 5866797287022221109076, 22602970333283204040839, 87162417784756775812383, 336413298986934066543110, 1299509164200996430373071, 5023787273465273496379211, 19436289598331986798623885], 17235940501432439124762001013806523611079758587824\ 1271917809175240142801896694681988616612585577172642496042790410192146535812072\ 0413772181682826798651652943981658698784181214432207761409201975462075175335593\ 8390505821184534446791397388124161364465767943032297049289589685021798872923155\ 1308648508461876050912175062028462729735666404149725241573787393977478845563230\ 5587484354296170789386702554084818190140697595740411908945392819419442026809986\ 8504599550813641781117276142316475443975962041969301446625670644805782745910922\ 478375522914736510222582197605220383816166751669650576263878590473473096] ---------------------------- (A,B)= , {3, 4}, {1, 2, 4} [P^2*x^9-2*P^2*x^8-P^2*x^7+5*P^2*x^6-P^2*x^5-2*P*x^6-4*P^2*x^4+2*P*x^5+4*P^2*x^ 3+3*P*x^4+P^2*x^2-4*P*x^3-3*P^2*x+x^3+P^2+4*P*x-2*P-x+1, (C*x^2-1)/((x^5-x^4-x^ 3+x^2)*C+x^2+x-1), {-2*n*(n-4)*a(n)+(26*n^2-152*n+120)*a(n-1)+(-124*n^2+940*n-\ 1320)*a(n-2)+(253*n^2-2371*n+4638)*a(n-3)+(-129*n^2+1743*n-4806)*a(n-4)+(-327*n ^2+2985*n-6450)*a(n-5)+(536*n^2-6284*n+17952)*a(n-6)+(-83*n^2+2057*n-9450)*a(n-\ 7)+(-470*n^2+4616*n-9048)*a(n-8)+(382*n^2-4732*n+12792)*a(n-9)+(93*n^2-255*n-\ 3138)*a(n-10)+(-230*n^2+2138*n-1260)*a(n-11)+(74*n^2-812*n+1032)*a(n-12)+(-15*n ^2+771*n-6414)*a(n-13)+(25*n^2-979*n+7902)*a(n-14)+4*(5*n-44)*(n-12)*a(n-15)-(5 *n-62)*(7*n-93)*a(n-16)+6*(2*n-25)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 16, a(7) = 31, a(8) = 62, a(9) = 134, a(10) = 312, a(11) = 790, a(12) = 2166, a(13) = 6362, a(14) = 19748, a(15) = 63924, a( 16) = 213483, a(17) = 729727}, [1, 2, 3, 5, 9, 16, 31, 62, 134, 312, 790, 2166, 6362, 19748, 63924, 213483, 729727, 2538706, 8953967, 31928152, 114876412, 416444200, 1519409802, 5574608562, 20553208146, 76107957792, 282921793350, 1055409605123, 3949583999183, 14822951038772, 55778209843221, 210401096850513, 795432004704217, 3013403219170066, 11437892783146005, 43492228474145482, 165654149415541666, 631933292977192104, 2414215806662914666, 9235883270829126117, 35378812448128458869, 135687090617696698782, 520996669492024244273, 2002652322934512144190, 7705938782510580020206, 29680556125075000453976, 114425762300817145869076, 441531061723744181856688, 1705163950900871926467176, 6590547489559268397620384], 561129788106575342561081\ 1077191197961507957141971349539871482858615034651529638012363888047551589974871\ 3599567564384977492985115626964989828487374294467411220580757300945359370120654\ 2583522810788084159614224257084781410211106758304242480178684157438192979897849\ 8037697842538254126473831689432891080260892939698198397993260378408493962387583\ 5919174160002346907355138308999749635262528834330971387142984627732686313193002\ 7730813004950923696919968083487361752606367605544544778600417184451249373132086\ 1758011990683456932180503190338804159813879046649315755935280395923291739208164\ 692409825053622229] ---------------------------- (A,B)= , {3, 4}, {1, 2, 5} [P^2*x^11-7*P^2*x^9-2*P^2*x^8+17*P^2*x^7-2*P*x^8+10*P^2*x^6-4*P*x^7-20*P^2*x^5+ 6*P*x^6-10*P^2*x^4+19*P*x^5+12*P^2*x^3+x^5+4*P^2*x^2-18*P*x^3+4*x^4-5*P^2*x-2*P *x^2+5*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((x^3+x^2)*C+x^2+x-1)/((x^6-x^5-2*x^4+x^2)* C+x^5-x^4-2*x^3+x^2+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-537*n^ 2+4539*n-6660)*a(n-2)+(1603*n^2-16475*n+33732)*a(n-3)+(-1536*n^2+20310*n-54696) *a(n-4)+(-2910*n^2+31842*n-84288)*a(n-5)+(6814*n^2-97994*n+332640)*a(n-6)+(2115 *n^2-11997*n-10776)*a(n-7)+(-13201*n^2+202307*n-768456)*a(n-8)+(899*n^2-39889*n +256932)*a(n-9)+(14450*n^2-241336*n+1006296)*a(n-10)+(-2030*n^2+61864*n-402468) *a(n-11)+(-9564*n^2+167274*n-716160)*a(n-12)+(1557*n^2-49683*n+368028)*a(n-13)+ (3116*n^2-49828*n+157896)*a(n-14)+(-1309*n^2+41669*n-327264)*a(n-15)+(-106*n^2-\ 5776*n+95208)*a(n-16)+(949*n^2-30245*n+241176)*a(n-17)+(-164*n^2+5710*n-48264)* a(n-18)+(-329*n^2+10741*n-87552)*a(n-19)+(26*n^2-778*n+5832)*a(n-20)+20*(2*n-31 )*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 17, a(7) = 35, a(8) = 77, a(9) = 181, a(10) = 451, a(11) = 1183, a(12) = 3248, a(13) = 9287, a(14) = 27536, a(15) = 84333, a(16) = 265816, a(17) = 859319, a( 18) = 2839990, a(19) = 9567192, a(20) = 32764789, a(21) = 113809069}, [1, 2, 3, 5, 9, 17, 35, 77, 181, 451, 1183, 3248, 9287, 27536, 84333, 265816, 859319, 2839990, 9567192, 32764789, 113809069, 400150912, 1421703434, 5096939477, 18416322429, 66996544675, 245184135930, 902020036202, 3334001260497, 12374361614138, 46100081751594, 172323172394106, 646118488291022, 2429343518931327, 9157375733138047, 34599382866669563, 131009123724912399, 497050356626606754, 1889306691816755468, 7193694496783117099, 27434619354287612706, 104784789109373404315, 400782879630584492403, 1534951746662937910143, 5886014062291562709667, 22597382938169904853325, 86851465018368193621499, 334158474669404044237844, 1286946130615432563064520, 4961110300586312938597689], 382754362331725156912140779668061605841165585461305\ 3785863682437647003170957143207858462499531561438505756504917306215609061138412\ 0051831507097656820753044934862836760454395961405539603727437092809290616616063\ 5902405052744048142225044548804334541914840364385827164545726326344707509947086\ 7035984234003265234620877215063875684082454550493346383148253093027295475399407\ 0643127240298389048527032018563097499779202306500158875491137800750617274363318\ 5631632743799257087031623352365511715001247056401112449785989753200444832008281\ 9331990090609862407317995731910336701745725376345414661266841328777064] ---------------------------- (A,B)= , {3, 4}, {1, 3, 4} [P^2*x^7-2*P^2*x^6+2*P*x^6+P^2*x^4-2*P*x^5+4*P^2*x^3-P*x^4+x^5-2*P^2*x^2-2*P*x^ 3-2*P^2*x+4*P*x^2+P^2+2*P*x-x^2-2*P+1, (-C*x^3+1)/((x^4-x^3)*C-x^2-x+1), {4*n*( n-4)*a(n)-3*(15*n-14)*(n-5)*a(n-1)+4*(40*n-73)*(n-6)*a(n-2)+(-117*n^2+1281*n-\ 2562)*a(n-3)+(-384*n^2+3492*n-7536)*a(n-4)+(579*n^2-6405*n+16734)*a(n-5)+(158*n ^2-2150*n+7428)*a(n-6)+(-391*n^2+6751*n-27630)*a(n-7)+(-183*n^2+465*n+6858)*a(n -8)+(198*n^2-2358*n+6756)*a(n-9)+(37*n^2+683*n-10590)*a(n-10)+(-60*n^2+60*n+ 5712)*a(n-11)+(22*n^2-514*n+3204)*a(n-12)+8*(7*n-79)*(n-12)*a(n-13)-2*(5*n-62)* (7*n-93)*a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 16, a(7) = 30, a(8) = 59, a(9) = 123, a(10) = 277, a (11) = 679, a(12) = 1813, a(13) = 5227, a(14) = 16037, a(15) = 51580}, [1, 2, 3 , 5, 9, 16, 30, 59, 123, 277, 679, 1813, 5227, 16037, 51580, 171730, 586338, 2039626, 7196509, 25676880, 92446729, 335358226, 1224345527, 4494699814, 16580684861, 61428453287, 228456911731, 852591174151, 3191819153907, 11983276011458, 45107388464455, 170201288299764, 643635867449234, 2438980423716657, 9259837589894238, 35218302041221008, 134169018077880280, 511927735055287150, 1956121573107886058, 7484724061860889630, 28675690392255047807, 109996395971859333634, 422416137428798559256, 1623952639352443199332, 6249603636970443728619, 24074383525147232312466, 92824044198023873890810, 358219284565744809572905, 1383574475261860424821865, 5348160302556491902006962], 457394191131905611503752112085086779985376985672454\ 1167303243415675089877149089319598135591481766610350107356781993305850362348381\ 2270408092126012038437940440000493147081556748647840654992457729361621691043098\ 9924549546548039358218410599103154558128441362534380184627304544745906640802218\ 9442489348073403472071463422369129619643347556240526863210703718395548997365426\ 7461145851289439137379887906495262568673627616103230168561246680638167207446354\ 1013738328122127213122976701319741793926007098724904202627137130710350224937258\ 8320400674176154270782107560448346715787132772921705833457902151039955] ---------------------------- (A,B)= , {3, 4}, {1, 3, 5} [P^2*x^9+2*P^2*x^8+2*P^2*x^7+2*P*x^8-P^2*x^6+4*P*x^7-6*P^2*x^5+4*P*x^6+x^7+P^2* x^4+3*P*x^5+2*x^6-P^2*x^3-8*P*x^4+2*x^5+7*P^2*x^2+2*P*x^3+4*x^4-5*P^2*x-8*P*x^2 -2*x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, ((-x^4-x^2)*C-x^3-x+1)/((x^5+x^3-x^2)*C+x^4-2 *x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(561*n^2-4713*n+6912)*a(n-2)+ (-1985*n^2+19915*n-40560)*a(n-3)+(3931*n^2-45929*n+118152)*a(n-4)+(-4392*n^2+ 58722*n-182808)*a(n-5)+(3196*n^2-46556*n+168420)*a(n-6)+(-3073*n^2+44567*n-\ 167004)*a(n-7)+(3146*n^2-49678*n+196068)*a(n-8)+(-971*n^2+19141*n-87444)*a(n-9) +(-172*n^2+2168*n-7620)*a(n-10)+(-615*n^2+13029*n-74520)*a(n-11)+(202*n^2-8726* n+76764)*a(n-12)+(348*n^2-6654*n+32328)*a(n-13)+(-25*n^2+1205*n-11664)*a(n-14)+ (-223*n^2+8141*n-70836)*a(n-15)+(-26*n^2+796*n-6240)*a(n-16)+3*(n-16)*(41*n-669 )*a(n-17)+2*(53*n-828)*(n-17)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 17, a(7) = 34, a(8) = 72, a(9) = 161, a(10) = 380, a(11) = 946, a(12) = 2481, a(13) = 6840, a(14) = 19756, a(15) = 59509, a(16) = 185964, a(17) = 599637, a(18) = 1984910, a(19) = 6714588}, [1, 2, 3, 5, 9, 17, 34, 72, 161, 380, 946, 2481, 6840, 19756, 59509, 185964, 599637 , 1984910, 6714588, 23123905, 80817147, 285924164, 1021953293, 3684270986, 13380155046, 48901056031, 179707479781, 663611501618, 2461056636940, 9161981873649, 34225451451464, 128250177478611, 481940333181869, 1815721198983831, 6856988014184592, 25951653982657241, 98417587546823266, 373932347801047261, 1423211576845540258, 5425644468145586211, 20715384896638992533, 79205120641584883799, 303245724816533698916, 1162473989144875558912, 4461571406344604253033, 17142732002571472819823, 65937681488719739317028, 253877784953936931879289, 978432617154099898118252, 3774259945523485551940629], 297952895127347483403894987888185453266967843313852\ 5879146311004841367777234919666666196661963968734355920393994438359213753846185\ 1452991352009326775855231889647471595614931599472817458362517927527673082233668\ 3392366267534236710629855757200660356887832260126317792341970288189853078186230\ 7211400714318716260864169808675464389754023504656830028782320435970347221021177\ 8381940212863518598130270819312521373902387046697063300319716104888152870427923\ 6809256881226537596255082393778627312854924061858654018869297061980204700096400\ 7901250931523362516413640676183468584801132491666386690843953754173191] ---------------------------- (A,B)= , {3, 4}, {1, 4, 5} [4*P^2*x^9+8*P^2*x^8-4*P^2*x^7+4*P*x^8-14*P^2*x^6+12*P*x^7-5*P^2*x^5+6*P*x^6+x^ 7+12*P^2*x^4-9*P*x^5+4*x^6+5*P^2*x^3-16*P*x^4+5*x^5-4*P^2*x^2+2*x^4-2*P^2*x+8*P *x^2-3*x^3+P^2+2*P*x-3*x^2-2*P+1, ((-x^4-x^3)*C-x^3-x^2+1)/((2*x^5-x^3)*C+2*x^4 -2*x^2-x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-6)*a(n-1)+(182*n^2-1630*n+2352)*a(n -2)+(21*n^2+147*n-336)*a(n-3)+(-890*n^2+9910*n-24408)*a(n-4)+(197*n^2-4273*n+ 14304)*a(n-5)+(2850*n^2-36846*n+116688)*a(n-6)+(-644*n^2+12538*n-50784)*a(n-7)+ (-5326*n^2+82394*n-321192)*a(n-8)+(-98*n^2-7514*n+67848)*a(n-9)+(6470*n^2-\ 113968*n+511536)*a(n-10)+(1280*n^2-7048*n-65376)*a(n-11)+(-4502*n^2+92104*n-\ 485760)*a(n-12)+(-798*n^2-5154*n+180744)*a(n-13)+(2264*n^2-61216*n+426624)*a(n-\ 14)+(-600*n^2+27648*n-265680)*a(n-15)+(-1832*n^2+58864*n-471456)*a(n-16)+(264*n ^2-7320*n+50016)*a(n-17)+(1040*n^2-33520*n+269760)*a(n-18)+160*(2*n-31)*(n-18)* a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 16, a(7) = 30, a(8) = 58, a(9) = 116, a(10) = 243, a(11) = 536, a(12) = 1258, a(13) = 3164, a(14) = 8542, a(15) = 24647, a(16) = 75304, a(17) = 240910, a(18) = 798477, a(19) = 2717988}, [1, 2, 3, 5, 9, 16, 30, 58, 116, 243, 536, 1258, 3164 , 8542, 24647, 75304, 240910, 798477, 2717988, 9439397, 33287688, 118795372, 428008442, 1554157106, 5680396283, 20878065230, 77109920046, 286012739007, 1064903716416, 3978464854133, 14909341493307, 56029642833100, 211100488725686, 797226605319391, 3017281705742939, 11442506465927937, 43474566476550326, 165463563376879541, 630772080122374514, 2408243654377561967, 9207578969699102142, 35250922616565735214, 135126886816545910298, 518595147560579200734, 1992517968487532398115, 7663676851569704972600, 29505931451507630584084, 113709457237071848877687, 438609981842886356735724, 1693308724509422821630379], 137854256797233390967053602687779952796663466262074\ 5633826966928899097448483662983773869421109840038461073144067371019354943900585\ 9364372349010339529466173332941880666135401829994496259658078901828892086440616\ 4142106020338336956609017193890499640313455551910741542024770886472603757522487\ 1421455599296900540021734373114928605273134890845941298167087464286347226880984\ 3204127919893183837264726526685389501175423188160199620939581596437414715145973\ 2942610343245197993319182758634440186509238674890344347717179430914767776071082\ 2934694667556354281088426804731317398549312584913013166749684521541238] ---------------------------- (A,B)= , {3, 4}, {2, 3, 4} [P^2*x^7-2*P*x^7+x^7+2*P^2*x^4-P^2*x^3-3*P*x^4+4*P^2*x^2+2*P*x^3+x^4-4*P^2*x-4* P*x^2-x^3+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^4+x-1)/(C*x^4+2*x-1), {-4*n*(n-4)*a(n)+ (59*n^2-341*n+270)*a(n-1)+(-342*n^2+2550*n-3588)*a(n-2)+(997*n^2-9025*n+17514)* a(n-3)+(-1577*n^2+16691*n-40578)*a(n-4)+(1447*n^2-17221*n+49422)*a(n-5)+(-993*n ^2+12555*n-39726)*a(n-6)+(655*n^2-9043*n+31350)*a(n-7)+(-246*n^2+4710*n-22068)* a(n-8)+(52*n^2-3694*n+29508)*a(n-9)+(-70*n^2+5290*n-47220)*a(n-10)+(98*n^2-4154 *n+34836)*a(n-11)+(-57*n^2+1899*n-14586)*a(n-12)+2*(34*n-445)*(n-18)*a(n-13)+3* (n-11)*(n-14)*a(n-14)-2*(11*n-134)*(n-15)*a(n-15)+20*(n-16)*(2*n-27)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 37, a(7) = 82, a(8 ) = 185, a(9) = 427, a(10) = 1014, a(11) = 2493, a(12) = 6385, a(13) = 17121, a (14) = 48189, a(15) = 142282, a(16) = 439082}, [1, 2, 4, 8, 17, 37, 82, 185, 427, 1014, 2493, 6385, 17121, 48189, 142282, 439082, 1408145, 4662563, 15840245 , 54918433, 193468506, 690217919, 2487435213, 9038355861, 33066421356, 121669688130, 449904197738, 1670793893210, 6228309556711, 23296086441721, 87400407754065, 328804491514315, 1240082084431529, 4687710918993109, 17757834722451599, 67401376044907057, 256292480830558360, 976195562031559638, 3724113269062225420, 14228205969686277107, 54435092077808110049, 208532313067385728677, 799835324800834095122, 3071359806321374263645, 11806910901708390731853, 45435169558582964419200, 175014925490152758504922, 674782259128352362098102, 2603982269587893904687577, 10057262646963600239183020 ], 8337319958859583076541303288481216608560143550752205194268326670385543101655\ 2306865495459219969190229713991579981828368161841067179525580324673801010707878\ 9617367488527647989788148595806126006428545292497330440084702465924045739090140\ 5427404578004189427843154481354206686605335054721467031975433007931684884825062\ 5151302059777025355475063837249629207239662198968788689632643571309289465648968\ 5533842965171821866144765736610730707611154101542984719453391039087224000515693\ 7887216699489493798106996438853073234488521666073109698044260496630811217854102\ 428700393427466996434342981069757147190530172] ---------------------------- (A,B)= , {3, 4}, {2, 3, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9-4*P^2*x^7-4*P*x^8+x^9-6*P^2*x^6+6*P*x^7+2*x^8+14*P^2 *x^5+8*P*x^6-2*x^7+P^2*x^4-21*P*x^5-2*x^6-19*P^2*x^3+4*P*x^4+8*x^5+18*P^2*x^2+ 22*P*x^3-3*x^4-7*P^2*x-26*P*x^2-6*x^3+P^2+12*P*x+9*x^2-2*P-5*x+1, ((x^5-x^3+x^2 )*C+x^4-x^2+2*x-1)/((x^5-2*x^3+x^2)*C+x^4-2*x^2+3*x-1), {-5*n*(n-5)*a(n)+(101*n ^2-673*n+552)*a(n-1)+(-883*n^2+7301*n-10740)*a(n-2)+(4392*n^2-43200*n+87852)*a( n-3)+(-13685*n^2+155983*n-397032)*a(n-4)+(27429*n^2-356931*n+1082412)*a(n-5)+(-\ 33932*n^2+503710*n-1780080)*a(n-6)+(20377*n^2-363365*n+1529052)*a(n-7)+(5544*n^ 2-36648*n-52656)*a(n-8)+(-18464*n^2+304690*n-1250772)*a(n-9)+(10101*n^2-214767* n+1140228)*a(n-10)+(659*n^2+33719*n-458556)*a(n-11)+(-1398*n^2-396*n+215880)*a( n-12)+(222*n^2-13602*n+139608)*a(n-13)+(-1864*n^2+71144*n-636528)*a(n-14)+(1297 *n^2-42131*n+341604)*a(n-15)+(898*n^2-31790*n+279096)*a(n-16)-12*(2*n-33)*(31*n -542)*a(n-17)+(-236*n^2+8308*n-72912)*a(n-18)+18*(9*n-148)*(n-19)*a(n-19)+28*(n -20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a (6) = 38, a(7) = 88, a(8) = 209, a(9) = 507, a(10) = 1256, a(11) = 3183, a(12) = 8273, a(13) = 22115, a(14) = 60957, a(15) = 173575, a(16) = 511003, a(17) = 1554602, a(18) = 4878881, a(19) = 15752475, a(20) = 52152765}, [1, 2, 4, 8, 17, 38, 88, 209, 507, 1256, 3183, 8273, 22115, 60957, 173575, 511003, 1554602, 4878881, 15752475, 52152765, 176442520, 607975545, 2127317488, 7539317884, 27006137886, 97604839283, 355428607080, 1302624128569, 4800439713611, 17775553376838, 66098198768420, 246700961232914, 923832477767143, 3469857304543779, 13067825738772960, 49335970927551179, 186681999988037825, 707850012156798087, 2689127662106856240, 10234164900194801932, 39013098534086957464, 148948971070437206100, 569495763850372499929, 2180371738755004958131, 8358386302960162942932, 32079986146042260953594, 123264078983628323097507, 474135848255221359042020, 1825611651521013390068348, 7036079820394816115886945], 538818483968358743104745512631333858873187585975384\ 7827402773251765184274625133370593457512115296466734453226913489727940697987114\ 8496257707926666964436318394921771004553592041974811901956145278585793626471901\ 9855183970958195387635290206706283469561231459956473724026937644181993812716547\ 4324860635120220954252423328857424860419112733723340505333490800218920563919142\ 6001126969535486882065027266843284767442623242389420619324644510346504969185772\ 4661117988160642035746436916478169802037020497592064319624344090833214340566278\ 8395979587630940370633135170028125284880309006081030209322666755031133] ---------------------------- (A,B)= , {3, 4}, {2, 4, 5} [P^2*x^9-2*P^2*x^8-2*P*x^9-2*P^2*x^7+2*P*x^8+x^9+8*P^2*x^6+4*P*x^7-P^2*x^5-10*P *x^6-x^7-13*P^2*x^4+P*x^5+4*x^6+12*P^2*x^3+14*P*x^4+P^2*x^2-18*P*x^3-4*x^4-4*P^ 2*x+2*P*x^2+6*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^5-x^4+x^3)*C+x^4-x^3+x^2+x-1)/ ((x^5-2*x^4+x^3)*C+x^4-2*x^3+x^2+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a( n-1)+(-408*n^2+3486*n-5100)*a(n-2)+(914*n^2-9616*n+19680)*a(n-3)+(63*n^2+1479*n -5892)*a(n-4)+(-4099*n^2+47885*n-135432)*a(n-5)+(6518*n^2-88120*n+290772)*a(n-6 )+(-55*n^2+2201*n-13044)*a(n-7)+(-9494*n^2+152596*n-609792)*a(n-8)+(8754*n^2-\ 156132*n+692112)*a(n-9)+(-199*n^2+18203*n-155544)*a(n-10)+(-3109*n^2+38873*n-\ 52812)*a(n-11)+(585*n^2+495*n-99600)*a(n-12)+(-62*n^2+13486*n-159000)*a(n-13)+( 1410*n^2-56430*n+516960)*a(n-14)+(-732*n^2+27792*n-254568)*a(n-15)-6*(n-16)*( 122*n-2053)*a(n-16)+(697*n^2-24185*n+209592)*a(n-17)+(6*n^2+6*n-2136)*a(n-18)+( -182*n^2+6454*n-56784)*a(n-19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 37, a(7) = 82, a(8) = 184, a(9) = 418, a(10) = 963, a(11) = 2257, a(12) = 5405, a(13) = 13298, a(14) = 33819, a(15) = 89435, a(16) = 247081, a(17) = 714648, a(18) = 2162030, a(19) = 6815851, a(20) = 22266123}, [1, 2, 4, 8, 17, 37, 82, 184, 418, 963, 2257, 5405, 13298, 33819, 89435, 247081, 714648, 2162030, 6815851, 22266123, 74909980, 258018855, 905306876, 3222740822, 11603768672, 42161038999, 154317494801, 568270602858, 2103364932390, 7819450426979, 29180592341259, 109263187553604, 410354085305453, 1545325406282641, 5833774752393776, 22072746462417305, 83687641179020962, 317903961689144469, 1209762011055113216, 4611263359999722083, 17603873363147504937, 67301089363460000565, 257645704788314362793, 987587753217102920064, 3790082238900303405166, 14561719359713269685930, 56006849164472225635313, 215630218636414647612499, 830989562152420227818022, 3205369981196972636307396], 252947532474822941855499832247542435427329951660500\ 1501926459668540949829625943751075249141605904370393843916683083355040307584318\ 7094295230266261843441723701074951387939800181696743983356041814069034223976009\ 1663665163582648139815656730175606907023660144662596187466484334756443925651987\ 7059861610403704261251101756895909029312647373384381652165043101616744341006773\ 1687334214368334256877206740435759878813909160881015984920010655990846649107286\ 8612835136918724660850074185551216485114241906956456196182796328907955196178189\ 1693779848999675111555514897073746296906104026691129408222756250408812] ---------------------------- (A,B)= , {3, 4}, {3, 4, 5} [P^2*x^9-3*P^2*x^7+2*P*x^8+2*P^2*x^6+2*P*x^7-6*P^2*x^5-4*P*x^6+x^7+9*P^2*x^4+3* P*x^5+2*x^6-3*P^2*x^3-12*P*x^4+4*P^2*x^2+6*P*x^3+3*x^4-4*P^2*x-4*P*x^2-3*x^3+P^ 2+6*P*x+x^2-2*P-2*x+1, (-C*x^4-x^3-x+1)/((x^5-x^4)*C+x^4-x^3-2*x+1), {5*n*(n-5) *a(n)+(-74*n^2+502*n-408)*a(n-1)+(432*n^2-3660*n+5352)*a(n-2)+(-1289*n^2+12967* n-26304)*a(n-3)+(2259*n^2-25863*n+65616)*a(n-4)+(-3068*n^2+37792*n-111072)*a(n-\ 5)+(4473*n^2-57993*n+186156)*a(n-6)+(-5579*n^2+77989*n-271440)*a(n-7)+(4831*n-\ 33447)*(n-8)*a(n-8)+(-4100*n^2+65650*n-261612)*a(n-9)+(3415*n^2-61835*n+282300) *a(n-10)+(-1603*n^2+34103*n-183288)*a(n-11)+(455*n^2-11065*n+65640)*a(n-12)+(-\ 199*n^2+5645*n-39060)*a(n-13)+(108*n^2-6732*n+71616)*a(n-14)+(-10*n^2+2588*n-\ 34260)*a(n-15)+(76*n^2-2600*n+21936)*a(n-16)-21*(n-16)*(7*n-115)*a(n-17)+2*(n-\ 12)*(n-11)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4 , a(4) = 8, a(5) = 17, a(6) = 37, a(7) = 81, a(8) = 179, a(9) = 400, a(10) = 905, a(11) = 2080, a(12) = 4880, a(13) = 11759, a(14) = 29309, a(15) = 76112, a (16) = 207154, a(17) = 592706, a(18) = 1781409, a(19) = 5600237}, [1, 2, 4, 8, 17, 37, 81, 179, 400, 905, 2080, 4880, 11759, 29309, 76112, 207154, 592706, 1781409, 5600237, 18294735, 61656457, 212931093, 749320601, 2675254098, 9658587353, 35178592683, 129035541665, 476058265299, 1764932381988, 6570687226196, 24551387911789, 92032511078879, 345986852857475, 1304098223363319, 4927109995501694, 18656034264130959, 70781074402179636, 269042416731818588, 1024407755044151954, 3906812182925368667, 14921903034760800598, 57073813028766733291, 218586567410179793365, 838205057580625337249, 3218004172988606203316, 12368139124913498696044, 47585844931622849062357, 183266533219234819542647, 706477984010943041108118, 2725862658152442803397494], 217331247352649416304688868822266835831710197465897\ 5727539992059825227865544700949036275018748925928986997992987341726777935073422\ 1136378625313012511779457613714092882163703387191766178566070128075802081970115\ 8903841550836943494822823811204991207959630268803616005740792954070965034181758\ 0968833121216770682231676340376948969254318441535061288137483384930216324795816\ 3385401182690953556617900737471831801917928259493990799244212824561756286488982\ 7334078720117675900458242455499062591197665738379529218776855372075268752529168\ 1806843022902912849910155103490220830598449919392115546611415586503628] ---------------------------- (A,B)= , {3, 4}, {1, 2, 3, 4} [P^2*x^9+P^2*x^6+P^2*x^5+2*P^2*x^3+P*x^4-P^2*x^2-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+ 1, -1/(C*x^5+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-166*n^2+1288 *n-1800)*a(n-2)+(185*n^2-1823*n+3570)*a(n-3)+(134*n^2-1040*n+1800)*a(n-4)+(-315 *n^2+3285*n-7950)*a(n-5)+(75*n^2-603*n+810)*a(n-6)+(14*n^2-416*n+2160)*a(n-7)+( -64*n^2+532*n-960)*a(n-8)+(82*n^2-1150*n+3900)*a(n-9)+(76*n^2-796*n+2160)*a(n-\ 10)+(-93*n^2+771*n-1050)*a(n-11)+(42*n^2-504*n+1440)*a(n-12)+20*(n-6)*(2*n-17)* a(n-13)-(n-10)*(n-9)*a(n-14)+2*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 16, a(7) = 30, a(8) = 58, a(9) = 119, a(10 ) = 263, a(11) = 634, a(12) = 1673, a(13) = 4791, a(14) = 14663, a(15) = 47169} , [1, 2, 3, 5, 9, 16, 30, 58, 119, 263, 634, 1673, 4791, 14663, 47169, 157278, 538046, 1875349, 6628911, 23689458, 85408679, 310193669, 1133627743, 4165343558 , 15377572294, 57009863497, 212151698115, 792167278466, 2967048014618, 11144277988393, 41965924877164, 158405287440134, 599227411210867, 2271395883893530, 8626026770343455, 32816308286821943, 125048753073652715, 477237291559017954, 1823952994194682711, 6980391880129265059, 26748459816851024881, 102621745561292006238, 394160472525666644440, 1515561326396375001626, 5833329515289713974323, 22473964103112313852757, 86664717537956333586752, 334491613182449751404926, 1292083433098825730868005, 4995071259079933679220322], 429091119318057622635447853473689261809130079233608\ 1295372757854533404835715990231551038432680532530810895934520209945052858153451\ 0842328943790857637360163411199879226452457035107527159266293244843442126220411\ 7187541775078448749796434039033791808813927437922700093462415760892149936229391\ 3546308274075341391102847213018082413967557174976829227163853080483268995357632\ 2898761828363957394207167895891153113909904014758689869403953337412659979217668\ 4281937111812549628229933993381558065927154371604961822481767227261235570679122\ 9418842508727058838452316106718346313751239498981003076179773526456384] ---------------------------- (A,B)= , {3, 4}, {1, 2, 3, 5} [P^2*x^11+2*P^2*x^10-2*P^2*x^9-6*P^2*x^8+2*P^2*x^7+11*P^2*x^6-2*P*x^7-3*P^2*x^5 -4*P*x^6-9*P^2*x^4+5*P*x^5+2*P^2*x^3+6*P*x^4+7*P^2*x^2-4*P*x^3-5*P^2*x-8*P*x^2+ x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/((x^6-x^4-x^3+x^2)*C+x^5-x^3+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-561*n^2+4713*n-6912)*a(n-2)+(1964* n^2-19756*n+40272)*a(n-3)+(-3616*n^2+42956*n-111312)*a(n-4)+(2552*n^2-38032*n+ 125544)*a(n-5)+(1995*n^2-21549*n+52284)*a(n-6)+(-3631*n^2+59777*n-231420)*a(n-7 )+(-1734*n^2+9252*n+29076)*a(n-8)+(5225*n^2-79129*n+287736)*a(n-9)+(-346*n^2+ 17996*n-122916)*a(n-10)+(-3450*n^2+53736*n-195876)*a(n-11)+(459*n^2-15309*n+ 96588)*a(n-12)+(1596*n^2-24420*n+81744)*a(n-13)+(-206*n^2+6694*n-45600)*a(n-14) +(-335*n^2+3223*n+7968)*a(n-15)+4*(n-12)*(11*n-268)*a(n-16)+(-59*n^2+2521*n-\ 23124)*a(n-17)+(-34*n^2+1130*n-9144)*a(n-18)+10*(n-15)*(5*n-76)*a(n-19)+12*(2*n -29)*(n-16)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 17, a(7) = 34, a(8) = 71, a(9) = 155, a(10) = 355, a(11) = 857, a(12) = 2189, a(13) = 5921, a(14) = 16916, a(15) = 50763, a(16) = 158865, a(17) = 514644, a( 18) = 1714129, a(19) = 5836884, a(20) = 20228808}, [1, 2, 3, 5, 9, 17, 34, 71, 155, 355, 857, 2189, 5921, 16916, 50763, 158865, 514644, 1714129, 5836884, 20228808, 71106440, 252844601, 907685007, 3284638828, 11967270633, 43858307417, 161559963837, 597830094336, 2221096559898, 8281749526304, 30980552624735, 116235397616925, 437277959366764, 1649108251890400, 6233439322373909, 23611198647121134, 89609351024974343, 340701583963527515, 1297559352861173029, 4949537964657977137, 18907894282054818064, 72330843336872165510, 277057606835476742758, 1062552187233096509519, 4079757242272991603405, 15681763938269089420512, 60340222220488596245465, 232405887736227129572885, 895971421467886831412775, 3457229130449172680657273], 2758369217186884751412166\ 0360127456956601653703171132113995436431236121453307583771929530492729567228365\ 5187164437477144151119561788243273572808083092619647654445737413520387223947822\ 7034403551076927394613475029866091436270362068379571168374904571281256502228866\ 0392014394777649727026576250859370822184709049617076592927697047012137853740648\ 2933887564562302320203502898753334708380638189970772039783141602689379760583704\ 8929395950858890439843744978665134778923898345626199791247555033086313940000588\ 2578468296190884645636231626770057731447998081394008444684432620987894046512610\ 40421471963867715] ---------------------------- (A,B)= , {3, 4}, {1, 2, 4, 5} [P^2*x^11-5*P^2*x^9+2*P^2*x^8+10*P^2*x^7-2*P*x^8-4*P^2*x^6-2*P*x^7-12*P^2*x^5+6 *P*x^6+6*P^2*x^4+5*P*x^5+8*P^2*x^3-10*P*x^4+x^5-4*P^2*x^2-6*P*x^3+2*x^4-2*P^2*x +8*P*x^2+P^2+2*P*x-3*x^2-2*P+1, (C*x^3+x^2-1)/((x^6-x^5-x^4+x^3)*C+x^5-x^4-x^3+ 2*x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-182*n^2+1630*n-2352)*a( n-2)+(-42*n^2+12*n+48)*a(n-3)+(1127*n^2-12175*n+29664)*a(n-4)+(-1008*n^2+13620* n-40584)*a(n-5)+(-2576*n^2+32164*n-99192)*a(n-6)+(3618*n^2-53310*n+191472)*a(n-\ 7)+(2821*n^2-38081*n+128832)*a(n-8)-(n-8)*(5639*n-45183)*a(n-9)+(-1354*n^2+ 15086*n-28224)*a(n-10)+(4887*n^2-80319*n+323664)*a(n-11)+(-240*n^2+12426*n-\ 107880)*a(n-12)+(-2303*n^2+33907*n-94416)*a(n-13)+(812*n^2-21430*n+147048)*a(n-\ 14)+(155*n^2+5861*n-99192)*a(n-15)+(-480*n^2+13044*n-91464)*a(n-16)+(451*n^2-\ 15563*n+130632)*a(n-17)+(110*n^2-3442*n+27144)*a(n-18)+(-235*n^2+7667*n-62472)* a(n-19)+2*(n-12)*(n-11)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 16, a(7) = 30, a(8) = 57, a(9) = 112, a(10) = 229, a(11) = 493, a(12) = 1134, a(13) = 2814, a(14) = 7558, a(15) = 21845, a(16) = 67141, a(17) = 216435, a(18) = 722784, a(19) = 2476724, a(20) = 8649015, a(21) = 30636194}, [1, 2, 3, 5, 9, 16, 30, 57, 112, 229, 493, 1134, 2814, 7558, 21845, 67141, 216435, 722784, 2476724, 8649015, 30636194, 109721417 , 396440640, 1442841609, 5283482981, 19449677106, 71929481405, 267100001935, 995463126007, 3722236510422, 13959743740310, 52496665114056, 197910143964384, 747825315476167, 2831731277297783, 10743760579778642, 40836920635685932, 155484918220048882, 592944179398569303, 2264570930338087245, 8660939943316150572, 33167679766855753098, 127175443375244952175, 488201897320751025187, 1876186937913477611759, 7217849386065978794025, 27795288276750164348736, 107138258504689242706483, 413340525838984071112019, 1596036475565820375181439], 130765849599229800957717806711606626729067350170061\ 6924424037855619259261919653229075132293335831506065948022555527037039048398644\ 6104855542208336482888748670600248672543009589641124806701220665559720790775143\ 7332290931552637407068479378172720773582878099060818150721021751913462390549219\ 2089002030511688437432457652312153246384143243392310917241115186835802219399620\ 1245542266332989119083403475957796402884374585641525847101355327300929842040507\ 4904951140743476952461115897826147009277586345700520292634230946171098833278440\ 7204917398773738412302894471258481606614462035530076286222611179644960] ---------------------------- (A,B)= , {3, 4}, {1, 3, 4, 5} [P^2*x^9-3*P^2*x^7+2*P*x^8-P^2*x^6+2*P*x^7-4*P*x^6+x^7+7*P^2*x^4-3*P*x^5+2*x^6- P^2*x^3-6*P*x^4-P^2*x^2+6*P*x^3-2*P^2*x+2*P*x^2-3*x^3+P^2+2*P*x-2*P+1, (-C*x^4- x^3+1)/((x^5-x^4)*C+x^4-x^3-x^2-x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-6)*a(n-1)+ (206*n^2-1804*n+2604)*a(n-2)+(-249*n^2+2631*n-5304)*a(n-3)+(67*n^2-701*n+2196)* a(n-4)+(-541*n^2+5813*n-16500)*a(n-5)+(1246*n^2-15656*n+48360)*a(n-6)+(-292*n^2 +3686*n-10176)*a(n-7)+(30*n^2+354*n-5088)*a(n-8)+(-1387*n^2+22949*n-95544)*a(n-\ 9)+(615*n^2-12891*n+69228)*a(n-10)+(393*n^2-6303*n+23844)*a(n-11)+(100*n^2+280* n-18156)*a(n-12)+(-252*n^2+5898*n-35628)*a(n-13)+(79*n^2-5387*n+58368)*a(n-14)+ (146*n^2-3628*n+22836)*a(n-15)+(-20*n^2+832*n-7944)*a(n-16)-21*(n-16)*(7*n-115) *a(n-17)+2*(n-12)*(n-11)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 16, a(7) = 29, a(8) = 54, a(9) = 103, a(10) = 204, a(11) = 426, a(12) = 953, a(13) = 2316, a(14) = 6145, a(15) = 17688, a(16) = 54446, a(17) = 176283, a(18) = 591825, a(19) = 2038434}, [1, 2, 3, 5, 9, 16, 29, 54, 103, 204, 426, 953, 2316, 6145, 17688, 54446, 176283, 591825, 2038434, 7150961, 25428215, 91365914, 331020232, 1207519552, 4430450398 , 16337089582, 60507563783, 224978206447, 839445494136, 3142096430785, 11794971660264, 44393288293016, 167489388447110, 633322384029763, 2399702902853067, 9110050987573609, 34646333864873359, 131982168566792923, 503556459235199828, 1924039101716492268, 7361633265854814376, 28202926968861909579, 108178778579714033793, 415421227936394606998, 1597008493204305262114, 6145723608564735125179, 23673545848252507515196, 91276089384930928280818, 352236731499718897298175, 1360435748496074459498152], 1125290613859739402060033510019301781512191328729901785762878575239537503527027\ 1359665151225534264107610786334674084825856171838027446149470341799727224073734\ 0338949000867703697473906544984562343200099882486271059913468733598904962673090\ 6621484976242616275730057396772365987558148947311895203313224352109870858307531\ 1169486784144591798163376066652400480661212585961902313035264830013453197816906\ 8382941986481207900090082237766710889023220145462131891516131201354883186859809\ 8892128993911708175477576896054963748076292504092045092700870651043000786323032\ 367127894226349362501662262957374908427920] ---------------------------- (A,B)= , {3, 4}, {2, 3, 4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9-4*P*x^8+x^9+2*x^8+6*P^2*x^5-3*P^2*x^4-9*P*x^5+6*P*x^ 4+3*x^5+4*P^2*x^2-3*x^4-4*P^2*x-4*P*x^2+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^5+x^4+x-1 )/(C*x^5+x^4+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-432*n^2+3660* n-5352)*a(n-2)+(1268*n^2-12808*n+26016)*a(n-3)+(-1950*n^2+22986*n-59064)*a(n-4) +(1286*n^2-18370*n+58656)*a(n-5)+(677*n^2-5611*n+9636)*a(n-6)+(-2460*n^2+32118* n-105336)*a(n-7)+(2399*n^2-36079*n+136248)*a(n-8)+(-669*n^2+13053*n-63960)*a(n-\ 9)+(-527*n^2+4933*n+4764)*a(n-10)+(630*n^2-8460*n+13752)*a(n-11)-8*(n-12)*(26*n -607)*a(n-12)+(211*n^2-10103*n+98424)*a(n-13)+(-258*n^2+9498*n-82440)*a(n-14)+( 141*n^2-3783*n+25164)*a(n-15)+(312*n^2-11730*n+107976)*a(n-16)-2*(37*n-528)*(n-\ 17)*a(n-17)+12*(5*n-82)*(n-18)*a(n-18)+18*(9*n-148)*(n-19)*a(n-19)+28*(n-20)*(2 *n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 17, a(6) = 37, a(7) = 81, a(8) = 178, a(9) = 394, a(10) = 882, a(11) = 2005, a(12) = 4652, a(13) = 11089, a(14) = 27369, a(15) = 70506, a(16) = 190833, a(17) = 544483, a( 18) = 1636027, a(19) = 5151488, a(20) = 16874438}, [1, 2, 4, 8, 17, 37, 81, 178 , 394, 882, 2005, 4652, 11089, 27369, 70506, 190833, 544483, 1636027, 5151488, 16874438, 57048266, 197628338, 697434999, 2496127558, 9030651797, 32948996257, 121034240826, 447088414232, 1659260526347, 6182803368831, 23119934017988, 86725245776405, 326229491612169, 1230282853397516, 4650443628155825, 17616070523277537, 66861715010424908, 254236089568893207, 968350839738793878, 3694152022204660311, 14113639762433375753, 53996500530221038232, 206851352207465705506, 793385737939491877262, 3046587582311608525454, 11711666748886873350444, 45068619373610981840143, 173602932856490411202286, 669338260024353872010245, 2582974796376418629766267], 2070986055716582606535294\ 5645858984313853791423758105384590470893630570977813563800365558584643218242691\ 2433662522593594156756800224106964001764417139986528574480441159628384997975897\ 4183994061312725863077755454841436325956736409626728930870927474685699252055559\ 3793739896813668935321558580609035178259512459978902879548289890888737643117664\ 0298389154432785384677328725800491778749941213405960163510994297054817085080874\ 2683359921584029779800040578345590711457215187183620124949186943415087536399066\ 0626183756350775818906591697752239833240503820540846428763150499407396707374911\ 74305659355412417] ---------------------------- (A,B)= , {3, 4}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^7+3*P^2*x^6-3*P^2*x^5+P^2*x^4+3*P*x^5+2*P^2*x^3-P^ 2*x^2-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^6+x^5+x^2+x-1), {-5*n*(n-5)*a(n) +4*(14*n-13)*(n-6)*a(n-1)+(-206*n^2+1804*n-2604)*a(n-2)+(228*n^2-2472*n+5016)*a (n-3)+(170*n^2-1564*n+3060)*a(n-4)+(-335*n^2+4183*n-11400)*a(n-5)+(-239*n^2+ 2071*n-3768)*a(n-6)+(656*n^2-7120*n+17220)*a(n-7)+(-322*n^2+3758*n-9120)*a(n-8) +(-405*n^2+4833*n-14004)*a(n-9)+(317*n^2-4735*n+16884)*a(n-10)+(276*n^2-3756*n+ 13188)*a(n-11)+(-237*n^2+3057*n-10236)*a(n-12)+(-630*n+4968)*a(n-13)+(194*n^2-\ 3172*n+13152)*a(n-14)+28*(n-6)*(2*n-19)*a(n-15)-6*(n-12)*(n-11)*a(n-16)+3*(n-12 )*(7*n-89)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 9, a(6) = 16, a(7) = 29, a(8) = 53, a(9) = 99, a(10) = 192, a( 11) = 393, a(12) = 866, a(13) = 2087, a(14) = 5530, a(15) = 15981, a(16) = 49513, a(17) = 161415, a(18) = 545212}, [1, 2, 3, 5, 9, 16, 29, 53, 99, 192, 393, 866, 2087, 5530, 15981, 49513, 161415, 545212, 1887212, 6646342, 23705930, 85381874, 309932384, 1132355748, 4160041654, 15356714955, 56929811167, 211847743774, 791018245635, 2962710125749, 11127898494327, 41904020645507, 158171030610526, 598339673930718, 2268026735307953, 8613221201669634, 32767565819141172, 124862961281566913, 476528149639659898, 1821242781524468489, 6970021065083801626, 26708728054698343938, 102469356063114036752, 393575356073479430578, 1513312383384233387206, 5824676980870132268864, 22440643112823753430537, 86536282322921750282754, 333996134515234547994766, 1290170391739900131393140], 107281528562688094746772950945772339556957648048655\ 0712223080894883768709400359548713094710146661941165176652663740822896795026045\ 9213010302873050280495551336295054020992757027856715004183873238971540331969208\ 7231707310664547809597296191281307503963185073538923487619664220393747951174216\ 0453678320558610971419348632330479557017066891224754986737479089102842585634473\ 7782970541562850860513050154055926653510700004304828355982726933320938962464284\ 2524643602576134576172987575761146994668008606405851925544560181289757837945858\ 6874247387970414854575434666235691364794040832581085086668597239105440] ---------------------------- (A,B)= , {3, 5}, {} [P^2*x^5-2*P^2*x^4-P^2*x^3+2*P*x^4+7*P^2*x^2-P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P* x+2*x^2-2*P-3*x+1, ((x^2-x)*C-x^2-x+1)/((2*x^2-x)*C+x^3-x^2-2*x+1), {3*n*(n-3)* a(n)+(-49*n^2+231*n-176)*a(n-1)+(323*n^2-2049*n+2728)*a(n-2)+(-1101*n^2+8727*n-\ 15912)*a(n-3)+(2048*n^2-19536*n+44632)*a(n-4)+(-1943*n^2+22143*n-61336)*a(n-5)+ (592*n^2-9246*n+33368)*a(n-6)+(382*n^2-3000*n+3488)*a(n-7)+(-334*n^2+3600*n-\ 8600)*a(n-8)+(92*n^2-1212*n+3880)*a(n-9)-6*(3*n-28)*(n-10)*a(n-10)+4*(2*n-19)*( n-10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51 , a(7) = 128, a(8) = 332, a(9) = 890, a(10) = 2467, a(11) = 7071}, [1, 2, 4, 9, 21, 51, 128, 332, 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893, 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794, 15089579257931496563545286, 58295663546246877594396887], 4892069779579009411274\ 7017139328164654828763677680843602982257701455229505830004642802083317053346472\ 8927937577927648117368130058291771977686995588058038819207141347200917796949999\ 1721736098316703435056050693852383893132782659283939836242431460603596779379868\ 8357431316374277498718821819641893253386419900903916960970536472034361793943412\ 8149516439455922850762588236882112440889999928022631320191642665258125826217240\ 7360594395740783911211471870129555416229195900067034370608212234783745538953642\ 3960953677180616419353312387343263834447436139849821991238229034559503347731519\ 074517996563210755566] ---------------------------- (A,B)= , {3, 5}, {1} [P^2*x^5-2*P^2*x^4+3*P^2*x^3+2*P*x^4+P^2*x^2-3*P*x^3-3*P^2*x+x^3+P^2+4*P*x-2*P- x+1, (-C*x-x^2+1)/((x^3+x^2-x)*C+x^3-2*x^2-x+1), {3*n*(n-3)*a(n)+(-39*n^2+189*n -144)*a(n-1)+(185*n^2-1215*n+1624)*a(n-2)+(-377*n^2+3135*n-5800)*a(n-3)+(234*n^ 2-2706*n+6888)*a(n-4)+(271*n^2-1839*n+2504)*a(n-5)+(-466*n^2+4284*n-9272)*a(n-6 )+(228*n^2-1938*n+3120)*a(n-7)+(-50*n^2+336*n+56)*a(n-8)+(10*n^2-246*n+1400)*a( n-9)+(-10*n^2+216*n-1136)*a(n-10)+4*(2*n-19)*(n-10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 23, a(7) = 49, a(8) = 114, a(9) = 282, a(10) = 752, a(11) = 2136}, [1, 2, 3, 6, 11, 23, 49, 114, 282, 752, 2136, 6419, 20177, 65722, 220038, 752575, 2617356, 9225086, 32869376, 118173756, 428103561, 1561000315, 5724152972, 21094746474, 78081385891, 290153412992, 1082041532942, 4048096515461, 15188802201225, 57141764001633, 215499680826187, 814552975121593, 3085305677072050, 11708946241510341, 44516367758971844, 169531911150654238, 646644715759725464, 2470129761807286018, 9448758120393904485, 36190556292498041169, 138787083316668900022, 532851896891188493414, 2048049696688358780055, 7879995339964975433358, 30348682834511739932672, 116993250695875320070539, 451407809934790174706267, 1743196191181198269424947, 6737136235927485251042663, 26057955616887299249838967], 22858069117388495978042950857607077934090381735606\ 5847728053695223212383027597041149512487256333551338980968678119416663001385447\ 5723014840505671185661510952230314128664860871357046892572947492436071241284189\ 2429128028751846793441884657821966558033603131046380508733154268908550979072000\ 6468689775269455785905446533651506620784051467941654799716265908899730546072224\ 7786066671762502014796829011738172830428397436977819803768651175161971538620600\ 3179313451341192726383647845686545015240833498635181487021918890849534814394244\ 197407298267220972453361345337370872029058018390479604312988111900205924] ---------------------------- (A,B)= , {3, 5}, {2} [P^2*x^5-2*P*x^5+2*P^2*x^3+x^5+3*P^2*x^2-3*P*x^3-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-\ 2*P-2*x+1, ((x^2-x)*C-x^3-x+1)/((2*x^2-x)*C-x^3-2*x+1), {-3*n*(n-3)*a(n)+(44*n^ 2-210*n+160)*a(n-1)+(-248*n^2+1602*n-2140)*a(n-2)+(664*n^2-5394*n+9920)*a(n-3)+ (-810*n^2+8064*n-18852)*a(n-4)+(239*n^2-3309*n+10312)*a(n-5)+(255*n^2-2451*n+ 5520)*a(n-6)+(-103*n^2+255*n+3364)*a(n-7)+(-28*n^2+1956*n-14192)*a(n-8)+(23*n^2 -777*n+5344)*a(n-9)+(38*n^2-918*n+5392)*a(n-10)-2*(7*n-64)*(n-11)*a(n-11)+12*(n -12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a (6) = 50, a(7) = 122, a(8) = 306, a(9) = 791, a(10) = 2113, a(11) = 5846, a(12) = 16771}, [1, 2, 4, 9, 21, 50, 122, 306, 791, 2113, 5846, 16771, 49876, 153504, 487519, 1591978, 5324476, 18171496, 63069941, 221986475, 790445897, 2841998505, 10301775073, 37601263462, 138060012164, 509524825867, 1888934355197, 7030645291110, 26261073585105, 98403782816684, 369794646019338, 1393304105852253, 5262236491077888, 19918169783223316, 75545593704365319, 287067662716664412, 1092740356493505916, 4166349056073952666, 15909407154506042038, 60837353528971386495, 232952231202124592486, 893119172343085321867, 3428204311381926584744, 13173772901216187255185, 50677321564141725370299, 195143036610856805912907, 752152995981311939369194, 2901700146246008655500753, 11203999604994417078068151, 43296243379246050131707978], 36727097375420878062539520747020104268409371771820\ 6155572131465944339158783305723361795317980072161071901221776972923827635758892\ 9939533426796869073261266990198050185438112727389000396087980507265175490694934\ 6393277627568754612133863467024685860612798547429584581195749762528738913580661\ 9475832123625172436945104269621485281116856293041336328736331660807387333543697\ 4091198751635933838327418461770283729329134133319664974306403628708083988236558\ 4883292757779621566363290404691541416717176188012542085943885526143783483475433\ 337685141379726386185889049264820225828342718954808526569644496358184365] ---------------------------- (A,B)= , {3, 5}, {3} [P^2*x^5-6*P^2*x^4+9*P^2*x^3+4*P*x^4+5*P^2*x^2-13*P*x^3-8*P^2*x-2*P*x^2+4*x^3+2 *P^2+12*P*x-x^2-4*P-4*x+2, ((x^2-x)*C-2*x^2+1)/((2*x^2-x)*C+x^3-3*x^2-x+1), {12 *n*(n-3)*a(n)+(-176*n^2+840*n-640)*a(n-1)+(984*n^2-6372*n+8520)*a(n-2)+(-2534*n ^2+20838*n-38560)*a(n-3)+(2519*n^2-26895*n+65428)*a(n-4)+(1105*n^2-4713*n-2428) *a(n-5)+(-3863*n^2+38361*n-93256)*a(n-6)+(1910*n^2-19758*n+47716)*a(n-7)+(112*n ^2-3858*n+22304)*a(n-8)+(-83*n^2+957*n-1888)*a(n-9)+(-56*n^2+1218*n-6448)*a(n-\ 10)+8*(2*n-19)*(n-10)*a(n-11) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 46, a(7) = 107, a(8) = 255, a(9) = 622, a(10) = 1563, a(11) = 4062 }, [1, 2, 4, 9, 20, 46, 107, 255, 622, 1563, 4062, 10968, 30853, 90489, 276265, 874878, 2860174, 9603569, 32957863, 115117083, 407823092, 1461389247, 5285675784, 19264958632, 70668437701, 260647351211, 965882136301, 3594006309188 , 13421752850063, 50285810384786, 188949929213940, 711860356803105, 2688369821167312, 10175193516974234, 38590502811427565, 146634501802348215, 558150623845661833, 2128012394940557180, 8125644421166953379, 31071376336942499926, 118971875300566791520, 456115553731061817383, 1750736946087607522807, 6727500289108715063429, 25878978032978241460082, 99649920831242068365133, 384079379605473419514976, 1481694507386167108549606, 5720987047783399981243277, 22107529343687375545170219], 18738991360123070823721\ 9018256915760019707606159655280927120678155993716521077695690247668263138456533\ 4800672056771575793777861047960369447396787339033718670294693558507739369372471\ 8015584816066016727895689012519896364845892699498053120057508733957389690469147\ 6398841376883663890676597571701525653886679101340368645216132477033140003630482\ 8886312884682573335932589131433941358291056715646751197945807700223221764152866\ 5393199745128710078495661709746830900069098794525069765950653967285190280880808\ 2789626900707425742072212987825651109634709846759641825174660305504361191969736\ 06174245208183247845] ---------------------------- (A,B)= , {3, 5}, {4} [P^2*x^8-3*P^2*x^6+8*P^2*x^5+2*P*x^6-P^2*x^4-4*P*x^5-15*P^2*x^3+P*x^4+17*P^2*x^ 2+16*P*x^3+x^4-7*P^2*x-24*P*x^2-4*x^3+P^2+12*P*x+8*x^2-2*P-5*x+1, (-C*x^2+x^2-2 *x+1)/((x^4+x^3-x^2)*C-x^4+2*x^2-3*x+1), {4*n*(n-4)*a(n)+(-80*n^2+452*n-360)*a( n-1)+(684*n^2-4956*n+6984)*a(n-2)+(-3268*n^2+28780*n-55704)*a(n-3)+(9540*n^2-\ 98868*n+238824)*a(n-4)+(-17329*n^2+207559*n-597282)*a(n-5)+(18601*n^2-257539*n+ 867738)*a(n-6)+(-9049*n^2+156451*n-644442)*a(n-7)+(-2493*n^2+8187*n+84198)*a(n-\ 8)+(5473*n^2-68671*n+184290)*a(n-9)+(-2124*n^2+27996*n-66744)*a(n-10)+(-231*n^2 +3609*n-23934)*a(n-11)+(266*n^2-1202*n-12324)*a(n-12)+(89*n^2-3851*n+31626)*a(n -13)-2*(31*n-382)*(n-15)*a(n-14)+(-30*n^2+714*n-4236)*a(n-15)+12*(2*n-25)*(n-14 )*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a( 7) = 128, a(8) = 331, a(9) = 880, a(10) = 2403, a(11) = 6737, a(12) = 19388, a( 13) = 57257, a(14) = 173425, a(15) = 538247, a(16) = 1709515}, [1, 2, 4, 9, 21, 51, 128, 331, 880, 2403, 6737, 19388, 57257, 173425, 538247, 1709515, 5547277, 18356919, 61827770, 211535193, 733814357, 2576597381, 9143080195, 32744158708, 118211297622, 429763186448, 1572065106270, 5781828426352, 21366997576104, 79300551464461, 295439131352248, 1104464912104291, 4141755729645572, 15575496081629382, 58724148998346221, 221929653271887880, 840534532862110215, 3189811534229427188, 12127732530581061258, 46189393604624023064, 176198401609744381640, 673151661008006520352, 2575335686253091830122, 9865688000821065416544, 37840737212673119988521, 145311361177597697533485, 558623335422448959887906, 2149771013433379738948172, 8281235970972242138398012, 31930521829669889805594067], 24901335632149455175400929248083341869477265265396\ 1259000689953018878457426016756833302679166787030143411722458391129643395071852\ 8936309925528888710766011208583415380322244662387205574621699820220978353030125\ 9285444266096344168297948438501131366383313514653720247011350525059374006343072\ 8777334944082225014355385389740376573109722496452797952697136200002571144967398\ 7904674757302838095983642173398453768198840732797208320468031607219687424363180\ 8493761410341444738494325027428574861891083073169820814942246833138812142040464\ 738044841284262873603228099534073583849180671196930430027780302558167557] ---------------------------- (A,B)= , {3, 5}, {5} [P^2*x^6+8*P^2*x^5-8*P^2*x^4-5*P*x^5-10*P^2*x^3+10*P*x^4+x^5+16*P^2*x^2+8*P*x^3 -2*x^4-7*P^2*x-22*P*x^2-x^3+P^2+12*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2)*C-2*x+1)/((2 *x^3-x^2)*C+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+(867*n^ 2-7185*n+10572)*a(n-2)+(-4107*n^2+40629*n-82740)*a(n-3)+(11585*n^2-133429*n+ 340968)*a(n-4)+(-19189*n^2+254357*n-778848)*a(n-5)+(15710*n^2-244288*n+889596)* a(n-6)+(647*n^2+18437*n-161772)*a(n-7)+(-11987*n^2+183007*n-689316)*a(n-8)+( 7188*n^2-126504*n+551376)*a(n-9)+(603*n^2-11379*n+55056)*a(n-10)+(-1270*n^2+ 27470*n-148440)*a(n-11)+(35*n^2-1225*n+9540)*a(n-12)+10*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a(7) = 127, a(8) = 323, a(9) = 836, a(10) = 2199, a(11) = 5876, a(12) = 15957, a(13) = 44079}, [1, 2, 4, 9, 21, 51, 127, 323, 836, 2199, 5876, 15957, 44079, 124012, 355832, 1042667, 3123363, 9570708, 30001199, 96155803, 314763098, 1050754591, 3570595954, 12327034026, 43153369179, 152902895938, 547446939788, 1977699248923 , 7199872364153, 26385961291553, 97255909086726, 360271175233058, 1340426783057376, 5006466732460601, 18763152277285370, 70535588722173141, 265891976935986804, 1004808055067032012, 3805789829702950516, 14444636763184381791, 54928274066054309597, 209242219970646205698, 798382288914271407836, 3050923073729894779242, 11675255773510615258620, 44738038096788747316665, 171643515907771180312682, 659304073511343242433124, 2535262399537368129283494, 9759158234763288683954452], 719079792812490876672042\ 3116326942575907516122358605052668625337985308106006428120313012156038346597206\ 3351463380538916603750254747179682287661320227669209476827336621650246479653491\ 5883838810980704749744039754700752040369811524365835621301432614616295093361753\ 1968516777660735839130464343000053222112739886035154158066531353436293802529191\ 1822553009461330542549605274416778883271132938744802989496153910284831168781109\ 7571310121399625337285555296732391405227275969826321476740096766192515115423496\ 3447409986149299186675311002135845882453763251409205242650377648760362693048433\ 347261378020418320] ---------------------------- (A,B)= , {3, 5}, {1, 2} [P^2*x^7+P^2*x^5+2*P^2*x^4+P^2*x^3-P^2*x^2+P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+ 1, (-C*x+1)/((x^3+x^2-x)*C-x^4-x^2-x+1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n -1)+(-126*n^2+852*n-1140)*a(n-2)+(145*n^2-1269*n+2360)*a(n-3)+(58*n^2-390*n+596 )*a(n-4)+(-92*n^2+1128*n-3124)*a(n-5)+(-119*n^2+1107*n-2488)*a(n-6)+(3*n^2-285* n+1308)*a(n-7)+(108*n^2-1140*n+3168)*a(n-8)+(-42*n^2+120*n+684)*a(n-9)+(34*n^2-\ 372*n+992)*a(n-10)+(23*n^2-309*n+1024)*a(n-11)+2*(n-8)*(2*n-17)*a(n-12) = 0, a( 1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 22, a(7) = 45, a(8) = 99, a(9) = 233, a(10) = 594, a(11) = 1633, a(12) = 4803}, [1, 2, 3, 6, 11, 22, 45, 99, 233, 594, 1633, 4803, 14920, 48340, 161624, 553208, 1927363, 6807517, 24307643, 87570150, 317828942, 1160855070, 4263256111, 15732283464, 58303199438 , 216894143144, 809643878470, 3031737195989, 11384670991346, 42862433630526, 161759437788865, 611813168497384, 2318747584482650, 8804616219635255, 33491389848078440, 127605942762582704, 486942618794758493, 1860854093192209989, 7120931148239607510, 27284550133779393510, 104669685850656191960, 401994711278831614409, 1545569607672081819945, 5948414309014238018136, 22915837330131340388409, 88363169233952721905961, 341026822217351123195086, 1317254028019969106947587, 5092107479420028938028656, 19699583130770140383835857], 17436009229630571272379901020695411511260669852090\ 9818892025212102137093551191776222137027482611566149906963230321657586049536618\ 5555320322719471672086773704029667889857806545076803982847708580475581528566085\ 3391812674167044909862414889434033976826100465044780415074534044617907567008591\ 7556378306092405516325299727010444091488103366226878295912080494637265989730243\ 1282880506859505384632770589673906446400590261787356573385141017126639820446733\ 4546407480081588687304247077233043785442088966819039212932916316698681782297128\ 406343810503096736739365789531577040559241824973348853099810474606379914] ---------------------------- (A,B)= , {3, 5}, {1, 3} [P^2*x^4+8*P^2*x^3-4*P^2*x^2-5*P*x^3-4*P^2*x+8*P*x^2+x^3+2*P^2+4*P*x-2*x^2-4*P+ 2, (-C*x-x^2+x+1)/((x^3+x^2-x)*C-3*x^2+1), {12*n*(n-3)*a(n)-8*(17*n-16)*(n-4)*a (n-1)+8*(61*n-112)*(n-5)*a(n-2)+(-384*n^2+3840*n-7488)*a(n-3)-4*(5*n-17)*(53*n-\ 220)*a(n-4)+(1700*n^2-16212*n+37888)*a(n-5)+(148*n^2-2196*n+8288)*a(n-6)+(-928* n^2+12672*n-43040)*a(n-7)+(59*n^2-1269*n+6280)*a(n-8)+10*(n-8)*(2*n-17)*a(n-9) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 10, a(6) = 20, a(7) = 37, a (8) = 78, a(9) = 166}, [1, 2, 3, 6, 10, 20, 37, 78, 166, 396, 1008, 2820, 8420, 26648, 87745, 297702, 1031542, 3631404, 12938634, 46543892, 168746060, 615829016, 2260136862, 8335735780, 30877189700, 114818670824, 428448516322, 1603809821264, 6020776597752, 22661645973408, 85502157057105, 323316570634566, 1225101591516518, 4650990124133196, 17688484089846066, 67383916215099268, 257096354523721180, 982353131131055416, 3758661811857883718, 14399851702705670660, 55234468489651897684, 212109747965221424808, 815422381057982920680, 3137989979374694319320, 12087727790578591898936, 46605906097644252021008, 179854336270960594932618, 694650638381706325695868, 2685101388058091573850332, 10386948110513517988374584], 91660471023321070360227\ 4927077568616937526704251669061577878814548700297270583630536671937877515345779\ 1940896816962913827289681167975770513908172515064445643606700537420545341296292\ 1901531043971415114847723412948673786007375555964199239315361824791378431948329\ 0921622068437390047156679860989558025757077149634174852172760069150113623237935\ 8430122965955475181144578564645963613338432269053373436755913129811817675334051\ 0360673797722852811649721974882397763524110370944397478430357040488092801595504\ 0525367432185325340775588594871549562665348194698773812032906009745912855873250\ 3090430710016210368] ---------------------------- (A,B)= , {3, 5}, {1, 4} [4*P^2*x^8-8*P^2*x^7+8*P^2*x^6+4*P*x^7+6*P^2*x^5-4*P*x^6-18*P^2*x^4+x^6+7*P^2*x ^3+15*P*x^4+6*P^2*x^2-12*P*x^3-x^4-5*P^2*x-6*P*x^2+4*x^3+P^2+8*P*x+x^2-2*P-3*x+ 1, ((-x^3-x^2)*C+x^3-x+1)/((2*x^4-x^2)*C-2*x^4+2*x^3-2*x+1), {4*n*(n-4)*a(n)+(-\ 66*n^2+378*n-300)*a(n-1)+(436*n^2-3226*n+4548)*a(n-2)+(-1430*n^2+13040*n-25488) *a(n-3)+(2118*n^2-24102*n+61020)*a(n-4)+(353*n^2+3319*n-24618)*a(n-5)+(-5923*n^ 2+63775*n-168498)*a(n-6)+(7316*n^2-94238*n+298740)*a(n-7)+(-405*n^2+12975*n-\ 66522)*a(n-8)+(-6022*n^2+74788*n-217008)*a(n-9)+(4776*n^2-58128*n+146136)*a(n-\ 10)+(-1456*n^2+22636*n-97896)*a(n-11)+(876*n^2-36180*n+304536)*a(n-12)+(-572*n^ 2+28916*n-266424)*a(n-13)+(-784*n^2+17464*n-94800)*a(n-14)+(1512*n^2-41928*n+ 289680)*a(n-15)+(-1008*n^2+28752*n-204000)*a(n-16)+160*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 23, a(7) = 49, a (8) = 113, a(9) = 274, a(10) = 707, a(11) = 1924, a(12) = 5509, a(13) = 16484, a(14) = 51238, a(15) = 164425, a(16) = 541797, a(17) = 1824607}, [1, 2, 3, 6, 11, 23, 49, 113, 274, 707, 1924, 5509, 16484, 51238, 164425, 541797, 1824607, 6256050, 21771195, 76707999, 273098857, 980930046, 3550164825, 12933313120, 47387298592, 174505356539, 645511537873, 2397403239339, 8936038843284, 33416924136333, 125336261018144, 471372550650546, 1777181351037933, 6715735087167155, 25431625999672201, 96495337707618669, 366800781971290146, 1396664817474453063, 5326523115764849536, 20344239097733266418, 77811807654149835439, 298002535587317548193, 1142699278235375077455, 4386836167233650970730, 16859735493595362767415, 64864130516086352312062, 249798341513926926274670, 962906207783971522030479, 3715077596526201843821219, 14345731030480586363927905], 11785505923432224352295474524336387193752625536730\ 1791877461935055823672015176345218777512148809737403780167162794156800335711074\ 4581243769231513481232502136715659644704858436780438948785936945702261244239310\ 9043508103613852883859121494093051373240335068549360390677256290353660152777915\ 7610004906871890798270666366293084111913381237315652733151172259194429038245754\ 8509666816257847456498700998915178755140329567124530362744165966859301547485796\ 7630459358118609348268432298383501621342940378882276382999936526759962078020401\ 418026297678269918801633763255772313517491989158862817735538507757293506] ---------------------------- (A,B)= , {3, 5}, {1, 5} [P^2*x^7+8*P^2*x^6-4*P^2*x^5-14*P^2*x^4+7*P*x^5+9*P^2*x^3+8*P*x^4+5*P^2*x^2-14* P*x^3+x^4-5*P^2*x-4*P*x^2+4*x^3+P^2+8*P*x-2*P-3*x+1, (-C*x^2-x^2-x+1)/((x^4+x^3 -x^2)*C+2*x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-545*n^2+ 4597*n-6744)*a(n-2)+(1721*n^2-17551*n+35880)*a(n-3)+(-2170*n^2+27344*n-72480)*a (n-4)+(-1642*n^2+14120*n-28104)*a(n-5)+(7661*n^2-100789*n+319308)*a(n-6)+(-5040 *n^2+79788*n-299892)*a(n-7)+(-5913*n^2+87345*n-326076)*a(n-8)+(7727*n^2-132847* n+570972)*a(n-9)+(756*n^2-10572*n+33600)*a(n-10)+(-3290*n^2+64474*n-315240)*a(n -11)+(280*n^2-6524*n+36864)*a(n-12)+(313*n^2-7391*n+43716)*a(n-13)+14*(n-12)*(2 *n-25)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 23, a(7) = 48, a(8) = 107, a(9) = 245, a(10) = 587, a(11) = 1459, a(12) = 3782, a(13) = 10212, a(14) = 28743}, [1, 2, 3, 6, 11, 23, 48, 107, 245, 587, 1459, 3782, 10212, 28743, 84186, 255946, 804736, 2605823, 8652919, 29347128, 101301340, 354821171, 1257990117, 4505591518, 16275657753, 59221812353, 216838104832, 798253477270, 2952602997170, 10967014085029, 40887630408835, 152949858661183, 573877094630934, 2159141201175694, 8143889826033697, 30787995601918413, 116640904810191342, 442762601179394723, 1683759707594460177, 6413921921960292040, 24471047546062815240, 93502381319133838388, 357761946969290801965, 1370663467146802762267, 5257749053816116561789, 20191619846468292090640, 77627795831133694684974, 298753414580719676232063, 1150892536999740013240391, 4437736173589571968580929], 345493187617214994140557\ 0779899122398367743823392881182549527764731771022663031860456530134485760926547\ 9100883283352410454379074820177843878003981682395820728300838456523277465010951\ 3166624553982193815844881366751409694942537742323608831296139737497011164833610\ 8523043831013397571469368807404224074090388071533285673382053709741102745798447\ 7579013921371006103133227033941739008370805912926493682786542650211865784442043\ 2673055637258435937111415733727052401028123759392534370772254768399866276586059\ 5515359604505097003501402796219960884162575480943219242089153034807296975031750\ 833854512758224873] ---------------------------- (A,B)= , {3, 5}, {2, 3} [P^2*x^5+4*P^2*x^4-2*P*x^5+4*P^2*x^3-6*P*x^4+x^5+3*P^2*x^2-3*P*x^3+2*x^4-7*P^2* x+2*P^2+10*P*x-x^2-4*P-3*x+2, ((x^2-x)*C-x^3-x^2+1)/((2*x^2-x)*C-x^3-2*x^2-x+1) , {-6*n*(n-3)*a(n)+(83*n^2-399*n+304)*a(n-1)+(-428*n^2+2793*n-3736)*a(n-2)+(988 *n^2-8133*n+15008)*a(n-3)+(-885*n^2+9009*n-21264)*a(n-4)+(-32*n^2+150*n-64)*a(n -5)+(144*n^2-3147*n+13416)*a(n-6)+(258*n^2-2772*n+6780)*a(n-7)+(-13*n^2+1317*n-\ 9908)*a(n-8)+(3*n^2-291*n+2544)*a(n-9)+(54*n^2-1218*n+6816)*a(n-10)+(53*n^2-\ 1173*n+6484)*a(n-11)+6*(n-12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 45, a(7) = 103, a(8) = 240, a(9) = 572, a(10) = 1402, a(11) = 3555, a(12) = 9379}, [1, 2, 4, 9, 20, 45, 103, 240, 572, 1402, 3555, 9379, 25857, 74629, 225240, 708153, 2306464, 7734948, 26555944, 92880363, 329632849, 1183478761, 4288617897, 15658700312, 57532994355, 212509701854, 788527895983, 2937507458539, 10981542719064, 41181973172140, 154873041921925, 583924298540510, 2206750804822904, 8357633818567889, 31715724509855770, 120576830767479670, 459192654731464904, 1751530974424514271, 6690948248378298399, 25595524767364682703, 98041580801824114859, 376004622275869370860, 1443717781109096306577, 5549449136343712326816, 21353564432819228438211, 82247051169133109610831, 317086735899236164858726, 1223555172661244829449972, 4725395971732050160152181, 18264373141483746848222616], 15615797121982401079298002383485250185632968221750\ 4230883087033852006823176158254652132780636460261985787435769450631066648918835\ 7667347282755235560267114639241828839083937527989697406253912772302925750868312\ 7604551631746061084819980442948124271733866437888211046687976919636448274966582\ 2194230531317809251136212029390948405101052382102705596374126210712868172941542\ 8136668863682474037106906186563049831358624453946723579171110159592651425310007\ 1122012226203364578272689030780870490369404790348520476572147101419312887997580\ 522859995476112164418212301142130682986523748197141817024881884584027553] ---------------------------- (A,B)= , {3, 5}, {2, 4} [P^2*x^8-6*P^2*x^7-2*P*x^8+16*P^2*x^6+10*P*x^7+x^8-28*P^2*x^5-24*P*x^6-4*x^7+37 *P^2*x^4+40*P*x^5+9*x^6-33*P^2*x^3-51*P*x^4-14*x^5+20*P^2*x^2+46*P*x^3+18*x^4-7 *P^2*x-30*P*x^2-16*x^3+P^2+12*P*x+11*x^2-2*P-5*x+1, ((x^4-x^3+x^2)*C-x^4+2*x^3-\ 2*x^2+2*x-1)/((x^4-2*x^3+x^2)*C-x^4+3*x^3-3*x^2+3*x-1), {-4*n*(n-4)*a(n)+(80*n^ 2-452*n+360)*a(n-1)+(-702*n^2+5064*n-7128)*a(n-2)+(3607*n^2-31369*n+60402)*a(n-\ 3)+(-12257*n^2+123785*n-294786)*a(n-4)+(29523*n^2-336843*n+937914)*a(n-5)+(-\ 52564*n^2+662230*n-2072808)*a(n-6)+(70480*n^2-957682*n+3249372)*a(n-7)+(-70402* n^2+995464*n-3465900)*a(n-8)+(48551*n^2-648059*n+1906962)*a(n-9)+(-14831*n^2+ 37679*n+1110834)*a(n-10)+(-14332*n^2+529468*n-4104576)*a(n-11)+(27900*n^2-\ 795624*n+5543304)*a(n-12)+(-26159*n^2+726437*n-5028150)*a(n-13)+(16942*n^2-\ 477664*n+3366192)*a(n-14)+(-8003*n^2+232451*n-1684494)*a(n-15)+(2678*n^2-80690* n+604716)*a(n-16)+(-566*n^2+17726*n-137628)*a(n-17)+28*(n-18)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a(7) = 122, a(8) = 305, a(9) = 781, a(10) = 2051, a(11) = 5534, a(12) = 15368, a(13) = 43979, a(14) = 129760, a(15) = 394562, a(16) = 1234728, a(17) = 3968010, a(18) = 13060513}, [1, 2, 4, 9, 21, 50, 122, 305, 781, 2051, 5534, 15368, 43979, 129760, 394562, 1234728, 3968010, 13060513, 43901351, 150273518, 522419808, 1840204932, 6554573181, 23567753267, 85423791485, 311764800493, 1144601748430, 4224023106412, 15659131785296, 58284236193695, 217714354238248, 815861387831159 , 3066226684155625, 11554085365788815, 43642657112863346, 165213322648053961, 626703346390269133, 2381748195213646833, 9067508032318058372, 34576905841786313277, 132051594063464141196, 505031510170605522260, 1934071981497655977293, 7416033387286861110385, 28469788999491028795652, 109416220795755230067388, 420957084664203552186214, 1621169701570739382330652, 6249301351189885636909460, 24111613863635407953512200], 19244440085853600476380\ 9048634180106950676395758818455497223906263775399266269290967592457935100099975\ 9800128800997581975535729211940485841701728930105042248398390351618414658011937\ 5026540295912280949609300735547564591438830960789624910544527226093413265408323\ 7377721119833099374913506818713014862048473978441472328637822859792117747309161\ 9327059813496005313670696547186046765706578453261959104892538463184152133236320\ 5386268729383094156633428538624176736856571939686582641208647037582644813050782\ 7368243811108424217375883256544463166814113600592650370419055797099011074278361\ 23033174797949967871] ---------------------------- (A,B)= , {3, 5}, {2, 5} [P^2*x^6-2*P^2*x^5-2*P*x^6+11*P^2*x^4+5*P*x^5+x^6-21*P^2*x^3-14*P*x^4-2*x^5+18* P^2*x^2+26*P*x^3+5*x^4-7*P^2*x-26*P*x^2-8*x^3+P^2+12*P*x+9*x^2-2*P-5*x+1, ((x^3 -x^2)*C-x^3+x^2-2*x+1)/((2*x^3-x^2)*C-x^3+2*x^2-3*x+1), {-5*n*(n-5)*a(n)+(101*n ^2-673*n+552)*a(n-1)+(-883*n^2+7301*n-10740)*a(n-2)+(4406*n^2-43306*n+88044)*a( n-3)+(-13940*n^2+158362*n-402480)*a(n-4)+(29388*n^2-378462*n+1141284)*a(n-5)+(-\ 42238*n^2+608138*n-2108892)*a(n-6)+(41671*n^2-663707*n+2592264)*a(n-7)+(-28158* n^2+490734*n-2122068)*a(n-8)+(13032*n^2-243834*n+1140480)*a(n-9)+(-4191*n^2+ 81105*n-392208)*a(n-10)+(920*n^2-17506*n+80880)*a(n-11)+(-112*n^2+1964*n-7344)* a(n-12)+(-2*n^2+100*n-960)*a(n-13)+4*(n-14)*(2*n-27)*a(n-14) = 0, a(1) = 1, a(2 ) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a(7) = 121, a(8) = 297, a(9) = 739, a(10) = 1865, a(11) = 4780, a(12) = 12466, a(13) = 33160, a(14) = 90208}, [1, 2, 4, 9, 21, 50, 121, 297, 739, 1865, 4780, 12466, 33160, 90208, 251635, 721426, 2129098, 6471931, 20251870, 65131206, 214761317, 723959980, 2487460464, 8686158508, 30746880029, 110078928871, 397855350802, 1449436997545, 5316048964553, 19609282694196, 72689222966206, 270603678395417, 1011172702904536, 3791044894550337, 14255446136321409, 53748056816319986, 203140564487113258, 769467610343190793, 2920549444775920362, 11105816246031690077, 42304623486507644663, 161407398061520680156, 616751259928458535485, 2359964262968364803994, 9042148117783913441393, 34687605643881205089397, 133223987814455042523913, 512233041725833615833618, 1971532257117620427160109, 7595695582344796697301277], 575086533658548384755255\ 1352604459558683783021270630389973420720105211787488686632895704890327388126807\ 4285276920627033028764058622110421698409938008662311345804236893278721887940592\ 5330254293585812630169132774372087763031016438117288030392172689711095544504754\ 2279415830770148902063981083792182529896408033753168846962359061562040181649084\ 6967639972170490440906775117310021844451472323449686699608530488546383720742182\ 6094913775446458342856030140144473364442284997778251973650486159497578067378970\ 1862363835507007886709672833370060459283008458366769195594755734820927597823305\ 782148401023349639] ---------------------------- (A,B)= , {3, 5}, {3, 4} [P^2*x^8-4*P^2*x^7+7*P^2*x^6+2*P*x^7-2*P^2*x^5-6*P*x^6-10*P^2*x^4+6*P*x^5+x^6+ 11*P^2*x^3+7*P*x^4-2*x^5+P^2*x^2-16*P*x^3-4*P^2*x+2*P*x^2+5*x^3+P^2+6*P*x-2*x^2 -2*P-2*x+1, (-C*x^3+x^3-x^2-x+1)/((x^4-x^3)*C-x^4+2*x^3-x^2-2*x+1), {4*n*(n-4)* a(n)+(-59*n^2+341*n-270)*a(n-1)+(324*n^2-2442*n+3444)*a(n-2)+(-733*n^2+6979*n-\ 13770)*a(n-3)+(83*n^2-2723*n+8826)*a(n-4)+(2590*n^2-26428*n+67128)*a(n-5)+(-\ 3908*n^2+47276*n-141936)*a(n-6)+(-34*n^2-1028*n+7548)*a(n-7)+(4496*n^2-60530*n+ 201876)*a(n-8)+(-3496*n^2+47734*n-156528)*a(n-9)+(497*n^2-9755*n+54006)*a(n-10) +(172*n^2+10256*n-130104)*a(n-11)+(-50*n^2-11134*n+133332)*a(n-12)+(681*n^2-\ 12669*n+53898)*a(n-13)+(-1066*n^2+27598*n-178692)*a(n-14)+(725*n^2-19937*n+ 136818)*a(n-15)+(-254*n^2+7226*n-51180)*a(n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 46, a(7) = 107, a(8) = 254, a(9) = 614, a(10) = 1518, a(11) = 3850, a(12) = 10060, a(13) = 27185, a( 14) = 76204, a(15) = 221914, a(16) = 671079, a(17) = 2102648}, [1, 2, 4, 9, 20, 46, 107, 254, 614, 1518, 3850, 10060, 27185, 76204, 221914, 671079, 2102648, 6801231, 22612490, 76934316, 266761774, 939351685, 3349477418, 12066140699, 43834638481, 160366577562, 590177957624, 2182998856104, 8110212230182, 30247169557888, 113193417003753, 424898765687705, 1599365238343086, 6035288290594174, 22826686844569983, 86516979659182685, 328551099934454410, 1249929843721879353, 4763153830856017874, 18179457589764987132, 69486546571798664462, 265958894121196325779, 1019263640740833398935, 3910968090355715147821, 15023741399981837274368, 57775124569767272564319, 222406640843255170236445, 856990025263426423690456, 3305246063261264175291341, 12758872080117060009554873], 10374244429473324273104415678786203848910790553303\ 2154374211067265116663683587775012650739819340368722811173330716841721857451681\ 9451068589685706154104583133150209322703838327816623352000667853286452924689354\ 0535769697193591171668626081821557699608825199769268075308197414495240400056098\ 8031833198175940943437221181976174916720628745539399810240487794018529854881926\ 5984086282773833176124945555120946496583100304452528278804607656671452597786292\ 4099121746038955469263054846119577851564695474130696262323061153469955307267390\ 449052668296978360205870204556583974580424187072459827902380415971925272] ---------------------------- (A,B)= , {3, 5}, {3, 5} [P^2*x^6+4*P^2*x^5-10*P^2*x^4-3*P*x^5+4*P^2*x^3+10*P*x^4+x^5+6*P^2*x^2-8*P*x^3-\ 2*x^4-5*P^2*x-6*P*x^2+3*x^3+P^2+8*P*x+x^2-2*P-3*x+1, ((x^3-x^2)*C-x^2-x+1)/((2* x^3-x^2)*C+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(553*n^2-\ 4655*n+6828)*a(n-2)+(-1851*n^2+18705*n-38124)*a(n-3)+(2997*n^2-35997*n+93216)*a (n-4)+(-861*n^2+16161*n-57576)*a(n-5)+(-4616*n^2+57406*n-175620)*a(n-6)+(6705*n ^2-96657*n+343764)*a(n-7)+(-2067*n^2+30843*n-112860)*a(n-8)+(-2514*n^2+47286*n-\ 221784)*a(n-9)+(2209*n^2-44729*n+226152)*a(n-10)+(-402*n^2+9606*n-56664)*a(n-11 )+(-75*n^2+1473*n-6996)*a(n-12)+6*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 46, a(7) = 106, a(8) = 248, a(9) = 585 , a(10) = 1398, a(11) = 3386, a(12) = 8344, a(13) = 20993}, [1, 2, 4, 9, 20, 46 , 106, 248, 585, 1398, 3386, 8344, 20993, 54179, 144106, 396778, 1134492, 3372854, 10416457, 33318810, 109912439, 372134971, 1287108433, 4528870701, 16155858906, 58270138156, 212038953567, 777201205222, 2865907363557, 10621626994744, 39536985497082, 147724475234666, 553785735988981, 2082157277586931, 7849433727341760, 29662543712687182, 112339545601718599, 426317501056829781, 1620848109662412588, 6173066946653858471, 23548157413413894467, 89962945618805860881, 344175191698347334240, 1318460477439084734023, 5056993284497953119739, 19418893592926109138888, 74650936916619222178343, 287275720861430739681060, 1106602803384344125367448, 4266698565993486187301449], 331814654923404515143620781626715259119205382319346\ 9432473669377836213980750153974249236139748389221323754867871243499763348838244\ 7338773330967644919338038469430025984619840619682187837144083629617746953795103\ 9961945829303046910973707386553207728940727733493409041835735150617011957664629\ 9664026873111414112420178684499212799100582784578693908786703612949489265896275\ 8940798624921814473928465144315219976963965639488061211916097885424665001408101\ 0794834742970892301931753609678860852804452521335408602062386232736092670331201\ 6015195800243148879665550313793991248320580345562830565198799406836276] ---------------------------- (A,B)= , {3, 5}, {4, 5} [P^2*x^9+2*P^2*x^8+P^2*x^6+2*P*x^7+2*P*x^6-8*P^2*x^4+P*x^5+6*P*x^4+x^5+10*P^2*x ^2-4*P*x^3-6*P^2*x-12*P*x^2+2*x^3+P^2+10*P*x+3*x^2-2*P-4*x+1, (-C*x^3-2*x+1)/(( x^5+x^4-x^3)*C+x^3+x^2-3*x+1), {5*n*(n-5)*a(n)+(-92*n^2+616*n-504)*a(n-1)+(698* n^2-5830*n+8568)*a(n-2)+(-2788*n^2+27884*n-56832)*a(n-3)+(6089*n^2-71329*n+ 183192)*a(n-4)+(-6296*n^2+86824*n-271224)*a(n-5)+(37*n^2-9569*n+56304)*a(n-6)+( 5546*n^2-81130*n+289896)*a(n-7)+(-2748*n^2+47736*n-201336)*a(n-8)+(-1531*n^2+ 24107*n-94704)*a(n-9)+(1143*n^2-15555*n+45408)*a(n-10)+(-334*n^2-694*n+43296)*a (n-11)+(60*n^2-2508*n+16608)*a(n-12)+(317*n^2-2641*n-10104)*a(n-13)+(-36*n^2+ 1116*n-7752)*a(n-14)+(-62*n^2+1162*n-4848)*a(n-15)-4*(5*n-66)*(n-14)*a(n-16)+6* (7*n-103)*(n-16)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 2, a( 3) = 4, a(4) = 9, a(5) = 21, a(6) = 51, a(7) = 127, a(8) = 322, a(9) = 828, a( 10) = 2156, a(11) = 5683, a(12) = 15173, a(13) = 41083, a(14) = 113001, a(15) = 316369, a(16) = 903457, a(17) = 2636841, a(18) = 7878183}, [1, 2, 4, 9, 21, 51, 127, 322, 828, 2156, 5683, 15173, 41083, 113001, 316369, 903457, 2636841, 7878183, 24119935, 75690846, 243321591, 800233678, 2687407848, 9195274310, 31981106224, 112805800035, 402689828130, 1452149991245, 5281660387736, 19349773898313, 71327348383412, 264317020562951, 983939626246590, 3677303952089355, 13791088607944863, 51880358029662607, 195704072328576512, 740065051939848727, 2804868483532217529, 10652270022840250855, 40530830090374242204, 154482380209662100075, 589748768993613105413, 2254763217978179221164, 8632515473399694977716, 33093118640371118039255, 127018585219707182909705, 488084268781522919974918, 1877551900785151400394210, 7229909526803156962354642], 539311399920158488744044649778210321270548734796291\ 0436838113597278843811899375978454691676966296087787359739031519445179943721347\ 3195401662553192501445266132948344449522866623787749962400720053721291986493356\ 0120697160229584367569146384783302737644747097311724906628479614047055548969653\ 7321845491204408697816853556984519280829370420688673007682588804957776364619682\ 1309731052659984693098583737687595958364025022104194043915394134739671369496920\ 0277969882047940053295611432055722320412065993922101552474984923482745465965024\ 4225839300037351016801632631488457944120368880265667863979426325929021] ---------------------------- (A,B)= , {3, 5}, {1, 2, 3} [P^2*x^7+2*P^2*x^6+4*P^2*x^5+3*P^2*x^4+2*P^2*x^3+2*P*x^4-4*P^2*x^2+3*P*x^3-3*P^ 2*x+6*P*x^2+2*P^2+2*P*x-4*P+x+2, (-C*x+x+1)/((x^3+x^2-x)*C-x^4-x^3-2*x^2+1), { 12*n*(n-3)*a(n)+(-126*n^2+630*n-480)*a(n-1)+(392*n^2-2718*n+3640)*a(n-2)+(-173* n^2+1857*n-3580)*a(n-3)+(-704*n^2+5964*n-12112)*a(n-4)+(324*n^2-3582*n+9072)*a( n-5)+(499*n^2-6477*n+20588)*a(n-6)+(288*n^2-1968*n+1800)*a(n-7)+(-112*n^2+2634* n-12224)*a(n-8)+(-203*n^2+3429*n-12988)*a(n-9)+(-194*n^2+2634*n-8824)*a(n-10)+( -72*n^2+888*n-2472)*a(n-11)+(-2*n^2-12*n+272)*a(n-12)+4*(2*n-19)*(n-10)*a(n-13) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 10, a(6) = 19, a(7) = 35, a (8) = 70, a(9) = 146, a(10) = 334, a(11) = 834, a(12) = 2289, a(13) = 6795}, [1 , 2, 3, 6, 10, 19, 35, 70, 146, 334, 834, 2289, 6795, 21454, 70775, 240773, 836934, 2954915, 10555880, 38057990, 138247776, 505368713, 1857421256, 6859109617, 25435750753, 94677821376, 353604784697, 1324701143168, 4976574712520, 18743660052680, 70762085693535, 267726192827424, 1014975700850709, 3855076959243952, 14667889293423610, 55899699188259563, 213360265763463381, 815528254726914432, 3121395135226801738, 11962140247281888965, 45897439324165633890, 176302729181636507949, 677945058710840416300, 2609580919214628977822, 10054618464137534370675, 38775587621641259755439, 149668375488187665008316, 578179666862837485572470, 2235322404729677117064827, 8648617749289282669196544], 768872869333856667218781\ 5243078822092596594241404306568531237353464359368399507595685155906056818725929\ 9794060955113778750924128861685735124852997222632570097635720487792684476886455\ 8284684696009466146937136332356734219953050876227811063554292073645323406867324\ 5017737878489269875496891176081935251523431210794558607622431938366304491175358\ 2445541777150272903408457122626496122045638485514970722709606096393938785419024\ 6279288656390383848696064977091442572894743892990946543604630258578291683264700\ 7545059838336637565906145328296004655128639329564594815358636921819245673693671\ 850740310840649658] ---------------------------- (A,B)= , {3, 5}, {1, 2, 4} [P^2*x^10-4*P^2*x^9+5*P^2*x^8-8*P^2*x^6-2*P*x^7+14*P^2*x^5+6*P*x^6-7*P^2*x^4-8* P*x^5-5*P^2*x^3+5*P*x^4+9*P^2*x^2+6*P*x^3+x^4-5*P^2*x-12*P*x^2-2*x^3+P^2+8*P*x+ 4*x^2-2*P-3*x+1, (C*x^2-x^2+x-1)/((x^5-x^4-x^3+x^2)*C-x^5+2*x^4-x^2+2*x-1), {-4 *n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-1)+(-454*n^2+3334*n-4692)*a(n-2)+(1709*n^2 -15209*n+29466)*a(n-3)+(-3839*n^2+40355*n-98262)*a(n-4)+(4998*n^2-62664*n+ 186516)*a(n-5)+(-2478*n^2+45444*n-181692)*a(n-6)+(-3229*n^2+19963*n+12990)*a(n-\ 7)+(7140*n^2-76422*n+165168)*a(n-8)+(-5458*n^2+62488*n-121980)*a(n-9)+(665*n^2-\ 3125*n-68550)*a(n-10)+(2056*n^2-24004*n+90528)*a(n-11)+(-1262*n^2-2026*n+120252 )*a(n-12)+(-442*n^2+32152*n-287124)*a(n-13)+(708*n^2-26532*n+212088)*a(n-14)+( 176*n^2-1910*n-3888)*a(n-15)+(-788*n^2+20120*n-128208)*a(n-16)+(653*n^2-17765*n +120642)*a(n-17)+(-254*n^2+7226*n-51180)*a(n-18)+20*(2*n-27)*(n-16)*a(n-19) = 0 , a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 22, a(7) = 45, a(8) = 98, a(9) = 225, a(10) = 551, a(11) = 1439, a(12) = 4002, a(13) = 11773, a(14) = 36323, a(15) = 116475, a(16) = 385063, a(17) = 1303784, a(18) = 4498130, a(19 ) = 15752120}, [1, 2, 3, 6, 11, 22, 45, 98, 225, 551, 1439, 4002, 11773, 36323, 116475, 385063, 1303784, 4498130, 15752120, 55831765, 199861175, 721401293, 2622325851, 9590368660, 35260342858, 130247038769, 483119995454, 1798708536864, 6719346181042, 25177844479277, 94606040806497, 356390957730861, 1345715496691906, 5092375233489824, 19308955348187460, 73351096741133335, 279131324994786909, 1063934588253294831, 4061446662138482926, 15526206732005316861, 59433562971586964388, 227796068841837828599, 874133745920017627418, 3358137355134036711081, 12914628507532490749863, 49716929418102770994491, 191577036345440481222762, 738888447119218259448481, 2852276097284256524573871, 11019549531516050740750255], 92268652832520051752889\ 4148177430118362208313060062083417349359894567540979074307458681814452853448218\ 7635733882028368769842471156240262981657161143169284140919544874070098101628702\ 2666993904659723228574472137676645979681638689575760751058961737383894307041680\ 4886826391658352300000778282935452091393167636846945446326244804808542614672989\ 7277881382045466063129124175518420697273309913182456105732973248097797645468138\ 5170087822772801113720075937084434514752085182020984309775791643769953149565960\ 1859619646970251716672674753548263933754824416557479695767245943715259089686735\ 1029665522772119949] ---------------------------- (A,B)= , {3, 5}, {1, 2, 5} [P^2*x^8-2*P^2*x^7+3*P^2*x^6+5*P^2*x^5-11*P^2*x^4-P*x^5+2*P^2*x^3+8*P*x^4+7*P^2 *x^2-4*P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4+ x^3-x^2)*C-x^4+x^3-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(561*n^2-\ 4713*n+6912)*a(n-2)+(-1964*n^2+19756*n-40272)*a(n-3)+(3605*n^2-42889*n+111240)* a(n-4)+(-2381*n^2+36685*n-123336)*a(n-5)+(-3056*n^2+31654*n-73668)*a(n-6)+(6961 *n^2-96653*n+324876)*a(n-7)+(-3594*n^2+58206*n-226476)*a(n-8)+(-2260*n^2+34178* n-134088)*a(n-9)+(3239*n^2-55105*n+239268)*a(n-10)+(-925*n^2+15305*n-65244)*a(n -11)+(-327*n^2+7467*n-41316)*a(n-12)+(326*n^2-6724*n+34608)*a(n-13)+(-105*n^2+ 2283*n-12372)*a(n-14)+2*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 22, a(7) = 44, a(8) = 92, a(9) = 198, a(10) = 445, a(11) = 1047, a(12) = 2598, a(13) = 6819, a(14) = 18940, a(15) = 55471}, [ 1, 2, 3, 6, 11, 22, 44, 92, 198, 445, 1047, 2598, 6819, 18940, 55471, 170245, 543404, 1790475, 6050130, 20854517, 73026437, 258967448, 927841799, 3352716860, 12201925379, 44680301674, 164476866159, 608289904437, 2258929447305, 8419580577561, 31485779184411, 118097140903558, 444170142465457, 1674727262217896, 6329014231417049, 23968917019995936, 90952175751608275, 345755905759434081, 1316630313217888111, 5021658993840159921, 19181204049919446461, 73368575686877152038, 281004842631044406299, 1077591403117607012654, 4137146955802972422511, 15901083154251223622690, 61179516332069802066032, 235621851824072766470134, 908309158610133485526835, 3504615964028986139658846], 279031476917429898549607603561070600732309631865393\ 0866764747258359948191418868072699605656658287801113853326743558553241195792470\ 9256678421634140239851948197446862977165886688571965427139586818761942216989167\ 5720339652798990776982639100867319471866887011567439538529432014428068473521351\ 1791161641838393534406818816406011880598005243887011071330631518976470123899171\ 3717526540989192250113544283035080505367387135874419457205542791420269190462294\ 6368167320846802861034622979690944089074018857854551957131559395051246826859066\ 0759932898507903150170439511543283470632897174325365203597808104099780] ---------------------------- (A,B)= , {3, 5}, {1, 3, 4} [P^2*x^8-4*P^2*x^7+9*P^2*x^6+2*P*x^7-9*P^2*x^5-6*P*x^6-P^2*x^4+10*P*x^5+x^6+10* P^2*x^3-3*P*x^4-2*x^5-4*P^2*x^2-10*P*x^3+2*x^4-2*P^2*x+8*P*x^2+2*x^3+P^2+2*P*x-\ 3*x^2-2*P+1, (-C*x^3+x^3-x^2+1)/((x^4-x^3)*C-x^4+2*x^3-2*x^2-x+1), {4*n*(n-4)*a (n)-3*(15*n-14)*(n-5)*a(n-1)+(148*n^2-1180*n+1656)*a(n-2)+(29*n^2+139*n-462)*a( n-3)+(-986*n^2+9170*n-20484)*a(n-4)+(1359*n^2-14913*n+39390)*a(n-5)+(1061*n^2-\ 12143*n+35394)*a(n-6)+(-3635*n^2+45845*n-144798)*a(n-7)+(2035*n^2-25111*n+75822 )*a(n-8)+(1208*n^2-18038*n+61992)*a(n-9)+(-1812*n^2+19044*n-14424)*a(n-10)+(990 *n^2-4746*n-58716)*a(n-11)+(-1185*n^2+20241*n-78714)*a(n-12)+(1789*n^2-43837*n+ 269874)*a(n-13)+(-1570*n^2+41806*n-278364)*a(n-14)+(821*n^2-22673*n+156306)*a(n -15)+(-254*n^2+7226*n-51180)*a(n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 10, a(6) = 20, a(7) = 37, a(8) = 77, a(9) = 160, a(10) = 366, a(11) = 882, a(12) = 2321, a(13) = 6530, a(14) = 19627, a( 15) = 61967, a(16) = 203456, a(17) = 687307}, [1, 2, 3, 6, 10, 20, 37, 77, 160, 366, 882, 2321, 6530, 19627, 61967, 203456, 687307, 2372338, 8322026, 29563494, 106082068, 383797880, 1398166954, 5123624396, 18872115553, 69826706982, 259395737068, 967084471024, 3617219309807, 13569537531813, 51041544055325, 192466166635450, 727397938552216, 2754875827066500, 10453889594280075, 39741155168646161, 151334055793386606, 577189825143807097, 2204668377637824878, 8432790397485455096, 32297365991276987390, 123850600734055813650, 475482505278243641166, 1827464817747852978810, 7030988580959301995738, 27077803236529064725787, 104380330642496808678678, 402728376258815373884742, 1555162096745454760616110, 6010239842704262027867281], 510129420390679763619052\ 7561093860153889875103929894582234558794090727294093751839194190249432190642994\ 0926751380635687128950507990199537406096427778926455721267621674344236099574368\ 2187250175685112548803981639485681487375427494477535269535022793803015916652100\ 3483756728402833758046352971669482405836722176176501021875664286255957406152817\ 2524038424907258445563350001853356228283277919009407296023687484653403366408317\ 6388708982283944949849036460568269742777748933643620357027325595060396891453992\ 3856086859269097651116795926166414965406838848079577255474337360671016460169185\ 467729064622288278] ---------------------------- (A,B)= , {3, 5}, {1, 3, 5} [P^2*x^7+4*P^2*x^6-6*P^2*x^5-4*P^2*x^4+5*P*x^5+9*P^2*x^3-P^2*x^2-10*P*x^3+x^4-3 *P^2*x+4*P*x^2+2*x^3+P^2+4*P*x-2*x^2-2*P-x+1, (-C*x^2-x^2+1)/((x^4+x^3-x^2)*C+x ^3-2*x^2-x+1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-295*n^2+2555*n-3720 )*a(n-2)+(437*n^2-4783*n+9816)*a(n-3)+(576*n^2-5202*n+11376)*a(n-4)+(-2408*n^2+ 28846*n-81048)*a(n-5)+(1411*n^2-20051*n+66180)*a(n-6)+(2820*n^2-39792*n+140412) *a(n-7)+(-3705*n^2+58797*n-232332)*a(n-8)+(-299*n^2+3559*n-8940)*a(n-9)+(2290*n ^2-40862*n+181752)*a(n-10)+(-648*n^2+12864*n-62976)*a(n-11)+(-340*n^2+7100*n-\ 37440)*a(n-12)+15*(n-12)*(5*n-63)*a(n-13)+10*(n-12)*(2*n-25)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 10, a(6) = 20, a(7) = 36, a(8) = 73, a(9) = 142, a(10) = 302, a(11) = 651, a(12) = 1527, a(13) = 3785, a(14) = 10185 }, [1, 2, 3, 6, 10, 20, 36, 73, 142, 302, 651, 1527, 3785, 10185, 29234, 89282, 285597, 947670, 3229348, 11227788, 39629486, 141527684, 510178978, 1853248907, 6775459343, 24907883706, 92006273602, 341298463339, 1270829411133, 4747995497920, 17793593446659, 66869488710653, 251941826459794, 951460337151984 , 3600977386837522, 13655879265738461, 51883170057730496, 197462878593517878, 752743057634593254, 2873859161336365186, 10987552715150179850, 42064554214206682064, 161241848172967501571, 618806147390485487787, 2377489604866026646368, 9144160724153097774930, 35205165690404021729177, 135670111172503137156857, 523307295252521847709924, 2020250739397502819337285], 1642627384086766572903947909778003467255386977321953577745706229540106160633374\ 5142060881726509677746568487135588790876895909550225337868987405500249415452520\ 1155605185684047877226543008468794110810048739169903529967936551030778406077029\ 2138779164354777789502920142428341008267357024597471734669145787075199608096033\ 9705803934823201753763782394086068388828332677490915421752493695793131544389674\ 7018335540682665942632796717685670769317807515583552391714035195660872573043235\ 6190476193315606929542925061081387137230047186867929821997959944120527875821163\ 324770479036751630752125567687183888177588] ---------------------------- (A,B)= , {3, 5}, {1, 4, 5} [4*P^2*x^9+4*P*x^8+2*P^2*x^6+4*P*x^7-9*P^2*x^5+2*P*x^6+x^7-4*P^2*x^4+5*P*x^5+2* x^6+10*P^2*x^3-4*P*x^4+2*x^5+P^2*x^2-12*P*x^3+3*x^4-4*P^2*x+2*P*x^2+2*x^3+P^2+6 *P*x-2*x^2-2*P-2*x+1, ((-x^4-x^3)*C-x^2-x+1)/((2*x^5-x^3)*C+2*x^3-x^2-2*x+1), { 5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(408*n^2-3486*n+5100)*a(n-2)+(-930*n^ 2+9750*n-19968)*a(n-3)+(177*n^2-3879*n+12036)*a(n-4)+(2731*n^2-32171*n+89328)*a (n-5)+(-3020*n^2+43240*n-144024)*a(n-6)+(-2717*n^2+35881*n-120540)*a(n-7)+(4952 *n^2-77212*n+298032)*a(n-8)+(820*n^2-15734*n+77832)*a(n-9)+(-2906*n^2+51394*n-\ 226872)*a(n-10)+(334*n^2+7438*n-109656)*a(n-11)+(-230*n^2-3596*n+57888)*a(n-12) +(218*n^2-18514*n+198984)*a(n-13)+(496*n^2-3872*n-26400)*a(n-14)+(-496*n^2+ 19256*n-174576)*a(n-15)+(72*n^2-3216*n+31584)*a(n-16)-8*(7*n-92)*(n-15)*a(n-17) +16*(n-12)*(n-11)*a(n-18)+160*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 11, a(6) = 23, a(7) = 48, a(8) = 106, a(9) = 239, a( 10) = 559, a(11) = 1348, a(12) = 3373, a(13) = 8773, a(14) = 23800, a(15) = 67412, a(16) = 199228, a(17) = 612615, a(18) = 1951579, a(19) = 6408387}, [1, 2 , 3, 6, 11, 23, 48, 106, 239, 559, 1348, 3373, 8773, 23800, 67412, 199228, 612615, 1951579, 6408387, 21580887, 74189412, 259336864, 918871293, 3291719113, 11899271654, 43340214923, 158863995736, 585498025934, 2168084064919, 8061676532410, 30086270233320, 112651328974174, 423046754880438, 1592961809540165, 6012920050925290, 22747860286397731, 86237073486209835, 327550591064113485, 1246332814592182034, 4750155427496151989, 18132271070763263977, 69314547213535562312, 265329608416774376916, 1016953502711918325114, 3902461128085707569627, 14992325337081734774777, 57658798398843080998939, 221974852950251160323889, 855383605434636126052293, 3299256719804250644503548], 259733870077064495980440085962603072346278369264656\ 6935243631260249595834590113900721367556434393382467908649244416326486371923824\ 8979691739907090976890472609701087292242674036263268093118349108230261134588599\ 0260385055491000130107315689485488580727997819589823071406926037081325976573868\ 2873755655069655894606021931658093051939121968584911132573173899557132221270491\ 6522089700359186944571829555004990603765894707618335936360370720324551018184309\ 1116136765458554024318180482537890456410517975332799940197364229325358652225110\ 5023469646891910501563016285994452112227701125337627508899451991189889] ---------------------------- (A,B)= , {3, 5}, {2, 3, 4} [P^2*x^8-2*P^2*x^7-2*P*x^8+2*P^2*x^6+4*P*x^7+x^8-4*P^2*x^5-4*P*x^6-2*x^7+8*P^2* x^4+6*P*x^5+2*x^6-3*P^2*x^3-13*P*x^4-2*x^5+4*P^2*x^2+6*P*x^3+5*x^4-4*P^2*x-4*P* x^2-3*x^3+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^4-x^4+x^3+x-1)/(C*x^4-x^4+x^3+2*x-1), { -4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-342*n^2+2550*n-3588)*a(n-2)+(1007*n ^2-9083*n+17598)*a(n-3)+(-1715*n^2+17753*n-42630)*a(n-4)+(2172*n^2-24012*n+ 65376)*a(n-5)+(-2831*n^2+32297*n-92466)*a(n-6)+(3086*n^2-37094*n+109188)*a(n-7) +(-2144*n^2+24572*n-58992)*a(n-8)+(1225*n^2-8605*n-24402)*a(n-9)+(-302*n^2-9322 *n+127716)*a(n-10)+(-705*n^2+28245*n-229554)*a(n-11)+(1220*n^2-37556*n+276744)* a(n-12)+(-1406*n^2+42038*n-308988)*a(n-13)+(1166*n^2-34964*n+260976)*a(n-14)+(-\ 694*n^2+20362*n-149196)*a(n-15)+4*(107*n-1476)*(n-16)*a(n-16)-6*(37*n-522)*(n-\ 17)*a(n-17)+28*(n-18)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 45, a(7) = 103, a(8) = 239, a(9) = 564, a(10) = 1359, a( 11) = 3359, a(12) = 8562, a(13) = 22627, a(14) = 62266, a(15) = 178849, a(16) = 536110, a(17) = 1672522, a(18) = 5405710}, [1, 2, 4, 9, 20, 45, 103, 239, 564, 1359, 3359, 8562, 22627, 62266, 178849, 536110, 1672522, 5405710, 18002305, 61437467, 213823919, 755865133, 2705268684, 9778856149, 35634358483, 130720180986, 482220957950, 1787410502604, 6652750794609, 24851843389303, 93136651745732, 350060686035360, 1319188618817914, 4983219059812498, 18865391582226116, 71564767508343179, 271984737187044605, 1035484485958530275, 3948615690824833205, 15080029830627781301, 57673206041821207427, 220863037332037836079, 846866584526052386403, 3251014838484723391860, 12494145393948311454208, 48067530779815825257230, 185110400475835189914543, 713545282108823106024703, 2752983454366318384926071, 10630608920326752022514820 ], 8751395035337128708230131606678257513657944824326728674615241609061020409374\ 7880097157615870573059372818900421438654642708686260331766721540165416005017352\ 1903245802309528608456415969460632717994819688672265458797727547237854180621473\ 9232638632347240788316937065202766403610538812396374623445429984242516724301476\ 8368623648821629230122695694008264238040335089205384647791888786891978906929236\ 3504911878360026335812296756473437535677227969011131298268400628041918933033174\ 7595105908026672144393638835265921177430054581010704674999305372594870733986817\ 127259092644533911675717974181589410149376390] ---------------------------- (A,B)= , {3, 5}, {2, 3, 5} [P^2*x^6+2*P^2*x^5-2*P*x^6+P^2*x^4-P*x^5+x^6-5*P^2*x^3-2*P*x^4+8*P^2*x^2+6*P*x^ 3+x^4-5*P^2*x-10*P*x^2-2*x^3+P^2+8*P*x+3*x^2-2*P-3*x+1, ((x^3-x^2)*C-x^3-x+1)/( (2*x^3-x^2)*C-x^3-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-569*n^2+ 4771*n-6996)*a(n-2)+(2108*n^2-21016*n+42708)*a(n-3)+(-4662*n^2+53712*n-136968)* a(n-4)+(6440*n^2-84310*n+256692)*a(n-5)+(-5600*n^2+83080*n-295260)*a(n-6)+(2819 *n^2-48655*n+203376)*a(n-7)+(-494*n^2+11182*n-59172)*a(n-8)+(-126*n^2+3384*n-\ 19992)*a(n-9)+(17*n^2-2119*n+19752)*a(n-10)+(36*n^2-126*n-3072)*a(n-11)-2*(17*n -169)*(n-12)*a(n-12)+(6*n^2-192*n+1488)*a(n-13)+4*(n-14)*(2*n-27)*a(n-14) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a(6) = 45, a(7) = 102, a(8) = 233, a(9) = 537, a(10) = 1251, a(11) = 2954, a(12) = 7097, a(13) = 17432, a( 14) = 44026}, [1, 2, 4, 9, 20, 45, 102, 233, 537, 1251, 2954, 7097, 17432, 44026, 115028, 312632, 887272, 2632469, 8149717, 26212919, 87096485, 297165683, 1035463993, 3667970804, 13161561641, 47707910586, 174336288998, 641272467674, 2371738225724, 8812397974870, 32873479136569, 123056603128401, 462062103889737, 1739775894960690, 6567037862666894, 24844663215813530, 94189479902479749, 357772391270404608, 1361396911867017797, 5188978355997873622, 19808418092115776333, 75726050543500257530, 289887472910875880698, 1111135368882960612491, 4264084913859294563537, 16382374159979929746249, 63007638932988001247333, 242577419501053272412181, 934815092921811260804969, 3605772743501985344566288], 284320600849357647910155759398806612904866816153533\ 4283256885218362245124538127301371896885520064258890909462423070304656479531807\ 6760559773024074969341856430124825518977293001973302331932869364646919761013133\ 8187691948487559192557329370023207960424989062217135910194436568244676616261181\ 2231159707312912614947675921148433954572227605771900383421552215567728967050893\ 9134858114358492915217621571622859590913477400293352204128072946723392206553585\ 2462000207932476942507805474340920295440619864689485321018851103553013730713522\ 5859448690760320922271757613747071428390284760016057372868241676602682] ---------------------------- (A,B)= , {3, 5}, {2, 4, 5} [P^2*x^9-4*P^2*x^8-2*P*x^9+7*P^2*x^7+6*P*x^8+x^9-7*P^2*x^6-10*P*x^7-2*x^8+5*P^2 *x^5+10*P*x^6+4*x^7+P^2*x^4-7*P*x^5-3*x^6-9*P^2*x^3-2*P*x^4+3*x^5+12*P^2*x^2+10 *P*x^3+x^4-6*P^2*x-16*P*x^2-3*x^3+P^2+10*P*x+5*x^2-2*P-4*x+1, ((x^5-x^4+x^3)*C+ x^3-x^2+2*x-1)/((x^5-2*x^4+x^3)*C+x^3-2*x^2+3*x-1), {-5*n*(n-5)*a(n)+(92*n^2-\ 616*n+504)*a(n-1)+(-714*n^2+5946*n-8736)*a(n-2)+(3059*n^2-30325*n+61680)*a(n-3) +(-7954*n^2+91298*n-232728)*a(n-4)+(12955*n^2-169367*n+514896)*a(n-5)+(-12889*n ^2+192023*n-682200)*a(n-6)+(6214*n^2-115472*n+502632)*a(n-7)+(2434*n^2-5960*n-\ 106944)*a(n-8)+(-7512*n^2+78006*n-98688)*a(n-9)+(7211*n^2-58729*n-129456)*a(n-\ 10)+(-3628*n^2-11668*n+571512)*a(n-11)+(453*n^2+55461*n-742944)*a(n-12)+(-29568 *n+394632)*a(n-13)+(1511*n^2-37147*n+220800)*a(n-14)+(-2927*n^2+89191*n-679320) *a(n-15)+(3148*n^2-100112*n+795816)*a(n-16)+(-2321*n^2+76345*n-626640)*a(n-17)+ (1182*n^2-40338*n+342696)*a(n-18)+(-374*n^2+13222*n-116064)*a(n-19)+28*(n-20)*( 2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 21, a(6) = 50, a(7) = 121, a(8) = 296, a(9) = 731, a(10) = 1824, a(11) = 4605, a(12) = 11787, a(13) = 30668, a(14) = 81364, a(15) = 220867, a(16) = 615544, a(17) = 1766414, a(18) = 5229906, a(19) = 15986340, a(20) = 50408870}, [1, 2, 4, 9, 21, 50, 121, 296, 731, 1824, 4605, 11787, 30668, 81364, 220867, 615544, 1766414, 5229906, 15986340, 50408870, 163624411, 545070307, 1856975854, 6447415022, 22739752226, 81243354756, 293345000894, 1068413558086, 3919401744509, 14464664540499, 53654202151975, 199889526537983, 747510018766602, 2804687605566049, 10554324892789596, 39821911372442232, 150608372315743355, 570845635165028392, 2167962408634521183, 8248598833993413227, 31437259994119920695, 120003290869387030464, 458753546371554632904, 1756152973814145374960, 6731392450808765723373, 25832935617009203626256, 99251851279717008409112, 381743710186757232769825, 1469766540431885646895070, 5664281975485205388055000], 433653972492179541252078623654615026592035241891120\ 5184585658904921838849182311574481871788071097621752139833409871081056439817954\ 0194605249297351904458802111433648469258775969908827648601877839092151131919675\ 0456193064335470051945013795164302578344933601777896488332682852534833369667969\ 6147678978728057059189585134735459539914321939307043741756450408439858397230493\ 1768578282372135282709297169759901598870446721364771617926953285682779010845150\ 1213115436534977562189642596879179009707993908605651357173860580789145457626499\ 9609150211905433862830860563792239701536453610890575830339315639437689] ---------------------------- (A,B)= , {3, 5}, {3, 4, 5} [P^2*x^9-2*P^2*x^8+2*P^2*x^7+2*P*x^8-P^2*x^6-2*P*x^7-3*P^2*x^5+2*P*x^6+x^7+P*x^ 5+5*P^2*x^3-4*P*x^4+x^5+2*P^2*x^2-6*P*x^3+2*x^4-4*P^2*x+x^3+P^2+6*P*x-x^2-2*P-2 *x+1, (-C*x^4-x^2-x+1)/((x^5-x^4)*C+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+ 502*n-408)*a(n-1)+(416*n^2-3544*n+5184)*a(n-2)+(-1053*n^2+10839*n-22080)*a(n-3) +(898*n^2-11378*n+29904)*a(n-4)+(823*n^2-9347*n+25392)*a(n-5)+(-1347*n^2+19845* n-67872)*a(n-6)+(-778*n^2+10394*n-35760)*a(n-7)+(995*n^2-18325*n+81792)*a(n-8)+ (939*n^2-10329*n+19848)*a(n-9)+(-888*n^2+7140*n+12216)*a(n-10)+(129*n^2+4335*n-\ 56568)*a(n-11)+(-70*n^2+1844*n-16080)*a(n-12)+(-15*n^2-2541*n+34752)*a(n-13)+( 89*n^2-2629*n+20616)*a(n-14)+(50*n^2-478*n-3288)*a(n-15)+(-194*n^2+5878*n-44568 )*a(n-16)+(197*n^2-6217*n+48960)*a(n-17)+(-126*n^2+4098*n-33192)*a(n-18)+20*(2* n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 9, a(5) = 20, a( 6) = 46, a(7) = 106, a(8) = 247, a(9) = 579, a(10) = 1370, a(11) = 3275, a(12) = 7935, a(13) = 19555, a(14) = 49249, a(15) = 127434, a(16) = 340684, a(17) = 945660, a(18) = 2734325, a(19) = 8242072}, [1, 2, 4, 9, 20, 46, 106, 247, 579, 1370, 3275, 7935, 19555, 49249, 127434, 340684, 945660, 2734325, 8242072, 25850814, 84024495, 281545401, 967196220, 3389333458, 12064354077, 43472851857, 158173007893, 579965665740, 2139926305507, 7936940067963, 29567382823361, 110563047340213, 414798137966414, 1560735774734897, 5887837491298908, 22264235222236691, 84371305603554720, 320361186039722308, 1218644164445908885, 4643528010520703946, 17721581382736819538, 67732156223998585742, 259229767735025037707, 993426906066549097051, 3811667663606042633326, 14641722380788754494173, 56304086178424628623139, 216737038254515431855614, 835119693770595677458519, 3220812100366705283368754], 2529885009202271642259146\ 4825969426735307315036303293005714204202398966210275237240726128090867287216458\ 0883602961348156880551515996651421636268408565039144110128009079034477619137115\ 7171002711779500648201680595933336408448067896743611918575460394917691190529479\ 5915997109225939595892563855520955006051589431696623053928388120823788187525716\ 6522606798603346861200176573994142618550877341595082846893870367199745531839941\ 0078473997244516075801801183052101011028940318753374946225636160208936418339053\ 0452414607728500747161542512572152775382206972179327429164482866029804893889811\ 88830548135306056] ---------------------------- (A,B)= , {3, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^9+2*P^2*x^8-2*P^2*x^7+P^2*x^6+5*P^2*x^5-2*P^2*x^4-2*P*x^5+2*P ^2*x^3+3*P*x^4-P^2*x^2-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^5-x^5+x^4+x^2+x -1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-166*n^2+1288*n-1800)*a(n-2)+( 185*n^2-1823*n+3570)*a(n-3)+(142*n^2-1072*n+1800)*a(n-4)+(-406*n^2+3838*n-8460) *a(n-5)+(419*n^2-3287*n+4770)*a(n-6)+(-433*n^2+3601*n-4566)*a(n-7)+(-94*n^2+958 *n-3948)*a(n-8)+(520*n^2-5620*n+14856)*a(n-9)+(-312*n^2+2472*n-3072)*a(n-10)+( 237*n^2-1773*n+1542)*a(n-11)+(-42*n^2-618*n+7140)*a(n-12)+(-50*n^2+866*n-3516)* a(n-13)+(40*n^2-520*n+1392)*a(n-14)+(2*n^2-98*n+828)*a(n-15)+(-10*n^2+256*n-\ 1608)*a(n-16)+4*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 10, a(6) = 19, a(7) = 35, a(8) = 69, a(9) = 140, a(10) = 306, a(11) = 720, a(12) = 1851, a(13) = 5167, a(14) = 15496, a(15) = 49119, a(16) = 162175 , a(17) = 551283}, [1, 2, 3, 6, 10, 19, 35, 69, 140, 306, 720, 1851, 5167, 15496, 49119, 162175, 551283, 1913748, 6747194, 24071440, 86686460, 314579397, 1148967376, 4219758539, 15572714767, 57715782678, 214723602697, 801594083669, 3001779203026, 11272817996199, 42443559732135, 160186473609407, 605891263779445 , 2296400185560027, 8720100039865771, 33171108209182958, 126389918106090538, 482317575780283279, 1843234232970717822, 7053702040332124290, 27027664690292301694, 103686780728180526279, 398229064447375710766, 1531125448732041507679, 5892946505109269932129, 22702601899700679371427, 87542585060362723396264, 337865929085982043402819, 1305066978129956571142113, 5045078001322319422570839], 432806011787098846474446605386501420668715752771419\ 0702193789443050856185930504255851273615936542621871804241745462491508512008024\ 3137511870183117005479177937552624826066241950247945298572217599220207482151359\ 9426679584312545878827814385194163457810520885670486682988931448492547742233949\ 6126544254849279724273637277020562168554236239099776625204336123919980113550300\ 0823507904856980235572868053600971566217362902561249574410445843877022936318511\ 4481853983953944910942460150435643100239994675888877457641543494774021429112905\ 4742394641228202021665168785827939762166225652085470707084881368071643] ---------------------------- (A,B)= , {3, 5}, {1, 2, 3, 5} [P^2*x^8+3*P^2*x^6+P^2*x^5-5*P^2*x^4+P*x^5+4*P^2*x^3+4*P*x^4+P^2*x^2-4*P*x^3-3* P^2*x+x^3+P^2+4*P*x-2*P-x+1, (-C*x^2+1)/((x^4+x^3-x^2)*C-x^4-x^2-x+1), {-5*n*(n -5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-311*n^2+2671*n-3888)*a(n-2)+(638*n^2-6622* n+13488)*a(n-3)+(-313*n^2+4541*n-12984)*a(n-4)+(-953*n^2+10009*n-24408)*a(n-5)+ (1760*n^2-22186*n+66876)*a(n-6)+(-791*n^2+11455*n-39420)*a(n-7)+(-888*n^2+12756 *n-46980)*a(n-8)+(1200*n^2-19698*n+82080)*a(n-9)+(-361*n^2+6191*n-28452)*a(n-10 )+(-133*n^2+3341*n-18684)*a(n-11)+(183*n^2-3747*n+19260)*a(n-12)+(-88*n^2+1574* n-6792)*a(n-13)+(47*n^2-1009*n+5388)*a(n-14)+2*(n-12)*(2*n-25)*a(n-15) = 0, a(1 ) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 10, a(6) = 19, a(7) = 34, a(8) = 65 , a(9) = 124, a(10) = 250, a(11) = 526, a(12) = 1192, a(13) = 2922, a(14) = 7812, a(15) = 22582}, [1, 2, 3, 6, 10, 19, 34, 65, 124, 250, 526, 1192, 2922, 7812, 22582, 69661, 225655, 757300, 2606307, 9134536, 32450892, 116494632, 421714338, 1537208326, 5636270650, 20770728052, 76885465297, 285728857739, 1065624360380, 3986995759537, 14960719960872, 56287929184627, 212294735748485, 802492747103736, 3039816850973969, 11536997574742448, 43865078889380142, 167060354783007077, 637248872153474189, 2434351393121868122, 9312306034570891001, 35669392817391685780, 136793820122203685688, 525218496229474611422, 2018781036111011990022, 7767640917409477651168, 29916911863655181247282, 115332256572196334535790, 445011766306305666806739, 1718543613154527194729111], 141420877079831662086626142235220380367273309227659\ 8625736724787050394216936096695608259042307124780593654519622282523885427450069\ 3013544258074068058585393108359297434417843618784850925173001497341704803585614\ 4749858420954354346534382551709513387658124041915710930179551608092267359733729\ 2932266060888256638350906449818526863239440312468646218054302797574954301397428\ 2840312800749357920119819931448212672098613510540428350607609963116540315727278\ 1671017095167770988462499834003947164912091825380828597405395714188717989372059\ 8653713719494663268445763716218964928071893455588067564020652263099074] ---------------------------- (A,B)= , {3, 5}, {1, 2, 4, 5} [P^2*x^11-2*P^2*x^10+3*P^2*x^8-3*P^2*x^7-2*P*x^8+3*P^2*x^6+2*P*x^7+P^2*x^5-7*P^ 2*x^4-P*x^5+5*P^2*x^3+4*P*x^4+x^5+3*P^2*x^2-6*P*x^3-4*P^2*x-2*P*x^2+x^3+P^2+6*P *x-2*P-2*x+1, (C*x^3+x-1)/((x^6-x^5-x^4+x^3)*C+x^4-x^3+2*x-1), {-5*n*(n-5)*a(n) +(74*n^2-502*n+408)*a(n-1)+(-424*n^2+3602*n-5268)*a(n-2)+(1145*n^2-11719*n+ 23904)*a(n-3)+(-1218*n^2+15372*n-40932)*a(n-4)+(-780*n^2+6348*n-10500)*a(n-5)+( 3179*n^2-40201*n+121440)*a(n-6)+(-2290*n^2+33326*n-116364)*a(n-7)+(-1032*n^2+ 13206*n-43032)*a(n-8)+(2542*n^2-35636*n+121728)*a(n-9)+(-1515*n^2+16737*n-25272 )*a(n-10)+(53*n^2+5015*n-61836)*a(n-11)+(772*n^2-8786*n+16428)*a(n-12)+(-711*n^ 2+2175*n+59760)*a(n-13)+(126*n^2+2874*n-51900)*a(n-14)+(113*n^2-457*n-10032)*a( n-15)+(71*n^2-4999*n+52992)*a(n-16)+(-197*n^2+6919*n-58572)*a(n-17)+(80*n^2-\ 2908*n+25776)*a(n-18)+(109*n^2-3317*n+25128)*a(n-19)+(-126*n^2+4098*n-33192)*a( n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a (5) = 11, a(6) = 22, a(7) = 44, a(8) = 91, a(9) = 192, a(10) = 419, a(11) = 950 , a(12) = 2260, a(13) = 5682, a(14) = 15171, a(15) = 43012, a(16) = 128870, a( 17) = 404786, a(18) = 1320952, a(19) = 4441090, a(20) = 15276491, a(21) = 53478323}, [1, 2, 3, 6, 11, 22, 44, 91, 192, 419, 950, 2260, 5682, 15171, 43012 , 128870, 404786, 1320952, 4441090, 15276491, 53478323, 189778400, 680759964, 2463335640, 8978001709, 32921036662, 121348023625, 449331636539, 1670493763511, 6232722478215, 23329717371853, 87580666706210, 329656534717760, 1243863599190087, 4703886937068129, 17825417911795262, 67679251264610386, 257422096474187897, 980749692816214320, 3742359737872128436, 14300965613611188086, 54724164234556742728, 209677490057426898732, 804361723998576356541, 3089218519304078040628, 11877270531762522935415, 45712054273329257123087, 176103547881211351755432, 679059264365240056772420, 2620776216021965971244207], 210809728438474455173743625337547606581463263142447\ 2628820695130640097505193681227174214117878514324382351272724981698046595406122\ 7664436885478881203121962441752778467805223990168948434006250119913819670637275\ 1883758712135696682213801087230473102005983404875068911382791330750768607071457\ 1203063505765548880450304179525992174387102658013783692820375457999503037504414\ 0103576236289413858865520279913687408721226969928610425222747654723631037186918\ 5054247042755064495962533975491906865762545175758298681063865154661446550796855\ 2928522125382388565927620807241335165353981107180739152987708065044090] ---------------------------- (A,B)= , {3, 5}, {1, 3, 4, 5} [P^2*x^9-2*P^2*x^8+2*P^2*x^7+2*P*x^8-2*P^2*x^6-2*P*x^7-3*P^2*x^5+2*P*x^6+x^7+4* P^2*x^4-P*x^5+5*P^2*x^3-6*P*x^4+x^5-3*P^2*x^2-2*P*x^3+x^4-2*P^2*x+6*P*x^2-x^3+P ^2+2*P*x-2*x^2-2*P+1, (-C*x^4-x^2+1)/((x^5-x^4)*C+x^3-2*x^2-x+1), {5*n*(n-5)*a( n)-4*(14*n-13)*(n-6)*a(n-1)+(190*n^2-1688*n+2436)*a(n-2)+(-55*n^2+869*n-1800)*a (n-3)+(-748*n^2+8030*n-19308)*a(n-4)+(718*n^2-9362*n+26772)*a(n-5)+(1221*n^2-\ 15915*n+51408)*a(n-6)+(-1298*n^2+19780*n-72828)*a(n-7)+(-1217*n^2+17731*n-64896 )*a(n-8)+(1172*n^2-16948*n+59040)*a(n-9)+(405*n^2-10785*n+65232)*a(n-10)+(-338* n^2+5236*n-14892)*a(n-11)+(12*n^2+4914*n-59736)*a(n-12)+(-110*n^2+934*n+3888)*a (n-13)+(106*n^2-5066*n+50112)*a(n-14)+(102*n^2-1974*n+7680)*a(n-15)+(-226*n^2+ 7022*n-54528)*a(n-16)+(197*n^2-6217*n+48960)*a(n-17)+(-126*n^2+4098*n-33192)*a( n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a (5) = 10, a(6) = 20, a(7) = 36, a(8) = 72, a(9) = 138, a(10) = 285, a(11) = 594 , a(12) = 1334, a(13) = 3164, a(14) = 8166, a(15) = 22679, a(16) = 67680, a(17) = 213521, a(18) = 703439, a(19) = 2390286}, [1, 2, 3, 6, 10, 20, 36, 72, 138, 285, 594, 1334, 3164, 8166, 22679, 67680, 213521, 703439, 2390286, 8307119, 29345722, 104949018, 378922444, 1378636931, 5047830819, 18582348748, 68726583935, 255231273811, 951333088031, 3557625303897, 13343871898434, 50186009384393, 189218425824997, 715052096356297, 2707880102682505, 10274752765954369, 39057425650346193, 148721069046732650, 567191612456688194, 2166366670683737128, 8285896790962573202, 31733396549410909614, 121683117254103833093, 467144080055491345635, 1795356194889771010550, 6907236924956130299485, 26600433068970256748821, 102537359423050646878212, 395607624962244781417101, 1527628506148542338917593], 1253802757189348586542020\ 5724224319097371779330894807817955917863854215745786838555126848023765265606523\ 5288575756243808649181546037162873805110625195780811206117443927614331761579244\ 9853718454116791262476102913869876645300800141358713705873733558369101613961780\ 4507539546057802330826249776699431529154644908525697976587171807085070852903217\ 2202372168818007045289073467130400937305588803811170876761250298613748244020656\ 1111702314402717531612164219882260126207852963258343634885719992944954831225771\ 3850463512356009368819009773841070958860897795405287271094773435937103516096000\ 68473398129463404] ---------------------------- (A,B)= , {3, 5}, {2, 3, 4, 5} [P^2*x^9-2*P*x^9+P^2*x^7+x^9+P^2*x^6-2*P*x^7+2*P^2*x^5-2*P*x^6+x^7+3*P^2*x^4-3* P*x^5+x^6-2*P^2*x^3-4*P*x^4+x^5+4*P^2*x^2+4*P*x^3+x^4-4*P^2*x-4*P*x^2-2*x^3+P^2 +6*P*x+x^2-2*P-2*x+1, (C*x^5+x^3+x-1)/(C*x^5+x^3+2*x-1), {-5*n*(n-5)*a(n)+(74*n ^2-502*n+408)*a(n-1)+(-432*n^2+3660*n-5352)*a(n-2)+(1282*n^2-12914*n+26208)*a(n -3)+(-2145*n^2+24837*n-63360)*a(n-4)+(2332*n^2-30152*n+91560)*a(n-5)+(-2073*n^2 +29817*n-104616)*a(n-6)+(1333*n^2-22373*n+91752)*a(n-7)+(-366*n^2+7830*n-39360) *a(n-8)+(147*n^2-4227*n+25944)*a(n-9)+(110*n^2+1970*n-31728)*a(n-10)+(-82*n^2-\ 4438*n+60744)*a(n-11)+(-122*n^2+10930*n-116976)*a(n-12)+(146*n^2-8770*n+92208)* a(n-13)+(-68*n^2+4144*n-44856)*a(n-14)+(86*n^2-3826*n+38448)*a(n-15)+(94*n^2-\ 3530*n+32472)*a(n-16)+4*(n-17)*(5*n-126)*a(n-17)+12*(7*n-116)*(n-18)*a(n-18)-6* (5*n-76)*(n-19)*a(n-19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3 ) = 4, a(4) = 9, a(5) = 20, a(6) = 45, a(7) = 102, a(8) = 232, a(9) = 531, a(10 ) = 1225, a(11) = 2855, a(12) = 6745, a(13) = 16226, a(14) = 39973, a(15) = 101517, a(16) = 267621, a(17) = 736668, a(18) = 2124732, a(19) = 6421705, a(20) = 20270717}, [1, 2, 4, 9, 20, 45, 102, 232, 531, 1225, 2855, 6745, 16226, 39973 , 101517, 267621, 736668, 2124732, 6421705, 20270717, 66446876, 224672820, 778531159, 2749347330, 9851177394, 35694161692, 130463117430, 480158095671, 1777152148460, 6608427428111, 24671760838180, 92427266617230, 347311749625252, 1308629346487060, 4942841995556475, 18711319233398417, 70977253555096619, 269744098436638402, 1026934016281892938, 3915957966092683453, 14955171193282992670, 57195331051786787648, 219032072242968351468, 839843763813469814289, 3224049981169568952297, 12390505851408969342494, 47668801848132148379161, 183574940988948600191443, 707627066638772603286778, 2730152777364741235137199], 217342055994499334417537138235566921338309541794299\ 2664123704751545144198059657580945516379023625913698663689946545143903854591578\ 1366010847534065316881085901187579402777715882101126270409141098965690395338750\ 7307117509035723959365027497625628669847141166011292420903652335094887246905941\ 1849914828782808473853431218329596044941182078258080680077776725552942906360480\ 4366062253830115680652399730444831212788506688043101086635530951724616929046257\ 8047263052802149011458249704490487345037784993947632941853836244496567290136613\ 9729153835916187558786862557745935680522016572340926851682695640968624] ---------------------------- (A,B)= , {3, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^9+P^2*x^8+P^2*x^7+3*P^2*x^6+P^2*x^5-P^2*x^4+P*x^5+2*P^2*x^3+2*P *x^4-P^2*x^2-2*P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^6+x^4+x^2+x-1), {-5*n*(n-\ 5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-206*n^2+1804*n-2604)*a(n-2)+(228*n^2-2472*n+ 5016)*a(n-3)+(181*n^2-1631*n+3132)*a(n-4)+(-459*n^2+5187*n-13104)*a(n-5)+(228*n ^2-2520*n+6264)*a(n-6)+(50*n^2-358*n+396)*a(n-7)+(-378*n^2+4554*n-13224)*a(n-8) +(169*n^2-2789*n+11292)*a(n-9)+(119*n^2-1903*n+7128)*a(n-10)+(-32*n^2-74*n+1872 )*a(n-11)+(212*n^2-3160*n+12492)*a(n-12)+(-37*n^2-325*n+4776)*a(n-13)+(63*n^2-\ 951*n+3660)*a(n-14)+(84*n^2-1476*n+6492)*a(n-15)+(-6*n^2+96*n-336)*a(n-16)+(23* n^2-493*n+2628)*a(n-17)+2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 6, a(5) = 10, a(6) = 19, a(7) = 34, a(8) = 64, a(9) = 120, a(10) = 235, a(11) = 477, a(12) = 1034, a(13) = 2421, a(14) = 6209, a(15) = 17392, a(16 ) = 52571, a(17) = 168420, a(18) = 562459}, [1, 2, 3, 6, 10, 19, 34, 64, 120, 235, 477, 1034, 2421, 6209, 17392, 52571, 168420, 562459, 1933206, 6778971, 24114849, 86709754, 314409486, 1147855312, 4214710393, 15552154061, 57635602889 , 214416823811, 800430016629, 2997376509052, 11256179352689, 42380651922023, 159948386049266, 604988996209698, 2292976051633661, 8707086475359248, 33121578469725293, 126201143221503814, 481597115646926125, 1840481017513392128, 7043167607566779038, 26987309522926006909, 103532012747854872766, 397634861473328082858, 1528841748824584635536, 5884160861952708979812, 22668770555460615910892, 87412190939966713856545, 337362923606390441577549, 1303124987076537203788763], 108209666529402520597801436737813299043212933313112\ 4597390044114050122134022617959466191986759100799665240366507527766120221900348\ 9863102001207043033200166820555625516377539514703574876681832867687648848211044\ 9555596296986070842353167542717733134493781504427783498953098252454884862774959\ 8269131860526825003670313391193017333725941048847899966935416451385358542466461\ 7770956473575096507949527167810891068836425729130463758519740584900985782013678\ 4775600661280542635084826926628652559267123268336222766524207208618705875383690\ 5644914148201028402843499957671379828894678554737294976624636849489317] ---------------------------- (A,B)= , {4, 5}, {} [P^2*x^5+2*P^2*x^4-2*P*x^5+6*P^2*x^3-4*P*x^4+x^5+P^2*x^2-9*P*x^3+2*x^4-4*P^2*x+ 2*P*x^2+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^3+x^2-x)*C-x^3-x^2-x+1)/((x^3+2*x^ 2-x)*C-x^3-x^2-2*x+1), {-3*n*(n-3)*a(n)+(44*n^2-210*n+160)*a(n-1)+(-240*n^2+ 1566*n-2100)*a(n-2)+(560*n^2-4710*n+8800)*a(n-3)+(-328*n^2+3930*n-10004)*a(n-4) +(-669*n^2+6399*n-15576)*a(n-5)+(695*n^2-8895*n+28456)*a(n-6)+(291*n^2-4023*n+ 13740)*a(n-7)+(-190*n^2+4578*n-24704)*a(n-8)+(-21*n^2+315*n-912)*a(n-9)+(102*n^ 2-2538*n+15216)*a(n-10)+10*(n-11)*(5*n-56)*a(n-11)+12*(n-12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 241, a (8) = 653, a(9) = 1792, a(10) = 4987, a(11) = 14095, a(12) = 40524}, [1, 2, 5, 13, 34, 90, 241, 653, 1792, 4987, 14095, 40524, 118704, 354752, 1082769, 3376969, 10761563, 35018901, 116226782, 392839812, 1349763755, 4705693851, 16615763502, 59320991641, 213807939654, 776937598146, 2843138895879, 10467416747986, 38739912037692, 144033067963714, 537658194855348, 2014130218590035, 7568959247550506, 28523938056607085, 107767298248890123, 408099645698663151, 1548671737904672034, 5888310723215650335, 22428200241118864331, 85568291610046011852, 326960463062885016212, 1251112928797451595706, 4793762162991167716893, 18390735203605190395379, 70636930452546966380131, 271609657219882324575403, 1045472129155656754180415, 4028182163710258038445860, 15535051840334630402248686, 59965664889335184819981777], 48970050131587318873885358675123695751527307771028\ 1469130861896436814833911405753844841125201512211746367098041525546470940231535\ 1367135290066945757199255438944449963269286482031104491465282710778479591878762\ 8135544193548547768284189678026654561355675454374229369964670016656969361013432\ 4726127486324718979534438612210774087335096871341872078736367403766301289241881\ 0636877670657116892105273389049462022828522906615075331747146532094168606352685\ 7336170735622215761174308017632913284593728260501885210724156921456888221517281\ 661820059628426709800368176505861354175689644438071984759051084919923992] ---------------------------- (A,B)= , {4, 5}, {1} [P^2*x^7+2*P^2*x^6+3*P^2*x^5+4*P^2*x^4-P^2*x^3-P^2*x^2+3*P*x^3-2*P^2*x+2*P*x^2+ P^2+2*P*x-2*P+1, (-C*x+1)/((x^4+x^3+x^2-x)*C-x^4-x^3-x^2-x+1), {-3*n*(n-3)*a(n) +2*(17*n-16)*(n-4)*a(n-1)+(-126*n^2+852*n-1140)*a(n-2)+(151*n^2-1287*n+2360)*a( n-3)+(-6*n^2-42*n+228)*a(n-4)+(116*n^2-468*n-332)*a(n-5)+(-289*n^2+2793*n-6416) *a(n-6)+(-79*n^2+645*n-1244)*a(n-7)+(44*n^2-864*n+3352)*a(n-8)+(98*n^2-1680*n+ 6556)*a(n-9)+(108*n^2-1458*n+4992)*a(n-10)+(45*n^2-675*n+2544)*a(n-11)+6*(n-8)* (2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 154, a(9) = 355, a(10) = 866, a(11) = 2251, a(12) = 6245} , [1, 2, 4, 8, 16, 33, 70, 154, 355, 866, 2251, 6245, 18414, 57213, 185405, 620629, 2129017, 7439673, 26367505, 94489799, 341625588, 1244174774, 4559060423 , 16793971554, 62147298893, 230913270440, 861080917988, 3221443510012, 12087494204050, 45476623926282, 171517584430018, 648354248106943, 2455977538768902, 9321340465911779, 35441752116509282, 134983876626973003, 514909491556427422, 1967067133445470167, 7525021790792224809, 28824459171118788381, 110547017150291455062, 424458971535679006492, 1631548699699498919233, 6277908484546161213133, 24180064675135846380835, 93219365568695176660551, 359700693295280978180857, 1389135191429884881412863, 5369066755275877444913157, 20767693084841114072336146], 18270849281318470214912\ 8617620910305766649583568010129264062424711012493441657007072129210899532853729\ 9928586324356669371751212989005174435890328672863062373682801309547034329605434\ 6882643585921835448672818764532050416309586232173179645270510734882714184238041\ 4492076303036505471504614022345382617648054402675470887885743221261902107344045\ 3798355488856931160827379852931504384044312900178074120869467929960755868706315\ 5108915596657885556670434979579782375863607251667976276196317498584505396406555\ 2044449039081984140349692306583029156305443084908481269474547197759478855222629\ 92406778996616227557] ---------------------------- (A,B)= , {4, 5}, {2} [9*P^2*x^5+12*P^2*x^4-12*P*x^5+7*P^2*x^3-14*P*x^4+4*x^5-9*P^2*x^2-3*P*x^3+4*x^4 -P^2*x+16*P*x^2-x^3+P^2-6*x^2-2*P+x+1, ((2*x^3-x)*C-2*x^3-x^2+1)/((3*x^3+x^2-x) *C-3*x^3-2*x^2-x+1), {-3*n*(n-3)*a(n)+(29*n^2-147*n+112)*a(n-1)+(-47*n^2+405*n-\ 568)*a(n-2)+(-287*n^2+1869*n-3112)*a(n-3)+(860*n^2-7644*n+16648)*a(n-4)+(425*n^ 2-3909*n+9112)*a(n-5)+(-2706*n^2+33900*n-105432)*a(n-6)+(572*n^2-15222*n+76768) *a(n-7)+(1518*n^2-21984*n+77208)*a(n-8)+(-178*n^2+17034*n-136952)*a(n-9)+(294*n ^2-9216*n+63552)*a(n-10)+(1476*n^2-33480*n+189576)*a(n-11)+648*(n-12)*(2*n-21)* a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 29, a(6) = 71, a(7 ) = 175, a(8) = 436, a(9) = 1100, a(10) = 2818, a(11) = 7356, a(12) = 19641}, [ 1, 2, 5, 12, 29, 71, 175, 436, 1100, 2818, 7356, 19641, 53857, 152214, 444592, 1343635, 4199312, 13543042, 44921220, 152646136, 529296153, 1865991225, 6667454822, 24084378584, 87770431367, 322184658432, 1189784125408, 4415937542645, 16460643880085, 61586796174699, 231177507782169, 870282810303813 , 3284743859326984, 12426845750661269, 47113785592746024, 178972263916771478, 681095072804441796, 2596308147314015610, 9912436411174988981, 37899651375894518439, 145104335120988807508, 556262451989813088508, 2135013269917500519135, 8203764290044079649874, 31556616263175874480506, 121508743456087875324999, 468318897692529215734943, 1806641103638299204913729, 6975554558987187881892005, 26955306451575712231792743], 22888062186881024580740\ 8097754030793712319049401655573004883098062041716954413021871337106287285101253\ 8332544689554366135695961052322044230213130241349421544352636465334845648799237\ 6652824932320104504125846646149177556839233275889392206425073545643317384955109\ 6123689356911930118102185501987394992153807763080754151761307932476826050361204\ 8219572818851942279506251402897926064953246749404437563736069594645536032689837\ 3523688742494122076743991997480299322515380858839385532038713259617341041968851\ 9245667736304891472494574729451955985072438325143076234935858926546782038531747\ 29333481551265563982] ---------------------------- (A,B)= , {4, 5}, {3} [P^2*x^7-4*P^2*x^6+8*P^2*x^5+2*P*x^6-3*P^2*x^4-8*P*x^5-11*P^2*x^3+10*P*x^4+x^5+ 22*P^2*x^2+5*P*x^3-4*x^4-12*P^2*x-28*P*x^2+2*x^3+2*P^2+20*P*x+8*x^2-4*P-8*x+2, ((-x^3+2*x^2-x)*C+x^3-2*x^2-x+1)/((x^4-2*x^3+3*x^2-x)*C-x^4+2*x^3-2*x^2-2*x+1), {12*n*(n-3)*a(n)+(-216*n^2+1008*n-768)*a(n-1)+(1608*n^2-10080*n+13392)*a(n-2)+( -6402*n^2+50094*n-90912)*a(n-3)+(14678*n^2-137478*n+310768)*a(n-4)+(-19250*n^2+ 211506*n-571000)*a(n-5)+(12928*n^2-171960*n+561824)*a(n-6)+(-2144*n^2+63468*n-\ 329776)*a(n-7)+(-2342*n^2-17580*n+269336)*a(n-8)+(1243*n^2+26571*n-312940)*a(n-\ 9)+(-507*n^2-13485*n+166620)*a(n-10)+(1284*n^2-21180*n+84552)*a(n-11)+(-1518*n^ 2+33288*n-182568)*a(n-12)+(891*n^2-20811*n+121308)*a(n-13)-2*(139*n-1568)*(n-13 )*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 241, a(8) = 653, a(9) = 1791, a(10) = 4977, a( 11) = 14030, a(12) = 40177, a(13) = 117048, a(14) = 347391, a(15) = 1051577}, [ 1, 2, 5, 13, 34, 90, 241, 653, 1791, 4977, 14030, 40177, 117048, 347391, 1051577, 3249135, 10249999, 33006636, 108409301, 362740292, 1234606251, 4267047239, 14949780712, 53004920740, 189885093425, 686354929934, 2500094747292 , 9167609391592, 33811113439685, 125325701949105, 466578581097535, 1743752667349878, 6539267325694921, 24597829330977918, 92779596579294617, 350817520088669813, 1329490069316641582, 5048701387923305506, 19208441408860855393, 73208061678995461866, 279462999674505796734, 1068413015766828839488, 4090343551221059222635, 15680039137863504099337, 60181941431205417736901, 231251901986007789601143, 889561196265852878216186, 3425402772450767151820593, 13202887099931800944212188, 50936108031615451012500255], 40789492984237149317196301891562840315248631694313\ 2837345276543571525941744236073000222315166020018059516968123638049562754878300\ 0249218052278066906752823712109281437491131651074607453356738602882826669864651\ 0921323925301434523364761107562781751282631382274162167652989483450647874657085\ 0555053409200674639471458147407290450000031075277126186746882722253041396825511\ 0051733884395487566202163187792841321495210628574214702859595780100971812660227\ 8336745330444424482544443603033341571801601912914043248235395624450591367704046\ 016307127038755364599601686666907526371026377696931592820979244861348792] ---------------------------- (A,B)= , {4, 5}, {4} [4*P^2*x^6-8*P^2*x^5-4*P*x^6+18*P^2*x^4+8*P*x^5+x^6-23*P^2*x^3-19*P*x^4-2*x^5+ 18*P^2*x^2+28*P*x^3+5*x^4-7*P^2*x-26*P*x^2-8*x^3+P^2+12*P*x+9*x^2-2*P-5*x+1, (( x^3-x^2)*C-x^3+x^2-2*x+1)/((2*x^3-x^2)*C-2*x^3+2*x^2-3*x+1), {-4*n*(n-4)*a(n)+( 80*n^2-452*n+360)*a(n-1)+(-690*n^2+4992*n-7032)*a(n-2)+(3390*n^2-29688*n+57312) *a(n-3)+(-10588*n^2+108160*n-258984)*a(n-4)+(22293*n^2-258513*n+726870)*a(n-5)+ (-32821*n^2+422701*n-1345398)*a(n-6)+(34526*n^2-484040*n+1692792)*a(n-7)+(-\ 26037*n^2+387195*n-1435722)*a(n-8)+(13622*n^2-203876*n+739440)*a(n-9)+(-4068*n^ 2+49752*n-95520)*a(n-10)+(-396*n^2+22572*n-199272)*a(n-11)+(1152*n^2-30456*n+ 199536)*a(n-12)-48*(13*n-162)*(n-13)*a(n-13)+96*(n-14)*(2*n-25)*a(n-14) = 0, a( 1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 241, a(8) = 652, a(9) = 1782, a(10) = 4923, a(11) = 13759, a(12) = 38946, a(13) = 111795, a (14) = 325890}, [1, 2, 5, 13, 34, 90, 241, 652, 1782, 4923, 13759, 38946, 111795, 325890, 966068, 2915879, 8969633, 28136629, 90013382, 293569918, 975258053, 3296134649, 11317018027, 39410202932, 138974174247, 495490609664, 1783578082772, 6473649179627, 23665805351991, 87054516144155, 321962023567248, 1196360925377977, 4463882261271390, 16716498486296846, 62803352970513489, 236633407555877852, 893920188089647622, 3384881870991101359, 12844538232635020083, 48836503265387631879, 186017206551890158072, 709715524958134782061, 2711974080691982722638, 10377919957621040798820, 39766494522463726809883, 152570137057727998705077, 586048768857939119306461, 2253616139496745515015950, 8675226970888908433822277, 33428095632400909258363560], 25612447305141589168169456581188062605689930995572\ 0302836516063817071490607983586726068153155360211176899262156399051523512843914\ 0557826537809180917409452134555926978740585042560756723707672439775958335583436\ 6911340767666610990530942612359448286211260869110950933934330057959563802447989\ 2916519081726298693518286372402560697650421575004975154094093216067690178424675\ 5962403340976351039022708444577305114118446221497430790489282778336304986680352\ 4078567283103353120624512770728391944912359670646915891765977680362136442835881\ 235525749938593504051652194578779299544831405478716234916171171297284169] ---------------------------- (A,B)= , {4, 5}, {5} [P^2*x^7+4*P^2*x^6-2*P*x^7+3*P^2*x^5-6*P*x^6+x^7-4*P^2*x^4-P*x^5+2*x^6-11*P^2*x ^3+10*P*x^4-x^5+16*P^2*x^2+8*P*x^3-4*x^4-7*P^2*x-22*P*x^2+P^2+12*P*x+7*x^2-2*P-\ 5*x+1, ((x^4+x^3-x^2)*C-2*x+1)/((x^4+2*x^3-x^2)*C+x^2-3*x+1), {-5*n*(n-5)*a(n)+ (101*n^2-673*n+552)*a(n-1)+(-867*n^2+7185*n-10572)*a(n-2)+(4112*n^2-40654*n+ 82740)*a(n-3)+(-11671*n^2+134027*n-341520)*a(n-4)+(19803*n^2-259773*n+787764)*a (n-5)+(-18082*n^2+269390*n-946272)*a(n-6)+(4765*n^2-84467*n+345084)*a(n-7)+( 4600*n^2-82412*n+368568)*a(n-8)+(-1640*n^2+44362*n-265932)*a(n-9)+(-1960*n^2+ 33368*n-138672)*a(n-10)+(483*n^2-16107*n+120408)*a(n-11)+(242*n^2-2074*n-11496) *a(n-12)+(-22*n^2+1442*n-14904)*a(n-13)+(92*n^2-2764*n+20736)*a(n-14)+(106*n^2-\ 3194*n+24048)*a(n-15)+12*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 240, a(8) = 644, a(9) = 1738, a(10 ) = 4717, a(11) = 12878, a(12) = 35386, a(13) = 97940, a(14) = 273330, a(15) = 770143, a(16) = 2194161}, [1, 2, 5, 13, 34, 90, 240, 644, 1738, 4717, 12878, 35386, 97940, 273330, 770143, 2194161, 6331628, 18539483, 55182440, 167242655, 516798830, 1629690101, 5245954060, 17231996374, 57708762071, 196763218447, 681880871089, 2397388112974, 8535603422782, 30721360529212, 111602251368495, 408632130037597, 1506283367753998, 5584249409005756, 20804112748123501, 77833202960663966, 292260103007861980, 1100940795552059260, 4158955220882593023 , 15750516185175923884, 59783704110837888204, 227380821577213283764, 866419092510525762598, 3307024286137331087053, 12642225438080968679409, 48398937702276512042298, 185536791218470561239545, 712142977900262891469944, 2736608751438730809705187, 10527752994920885563160395], 76369870954116129816719\ 3300263846163971090378275381036129843905271254802673937252563644949754971642904\ 2714090674924724099363102218797145064298513360389301143088027311513816066788437\ 2891880782951279542853206722482785364000347711334546638163794939497450818271141\ 9258854363975022793260635249047115542209530447707972131034287668297261160196229\ 6621024559999542006337410836545854500040941442918415821264563899244552884721919\ 7468679552483329787332187412429521217307550785287004226407312515194087587639896\ 0726496556341612053150899862297287134372573539719576491639360111293972257668060\ 5232354131129451601] ---------------------------- (A,B)= , {4, 5}, {1, 2} [4*P^2*x^7+12*P^2*x^6+11*P^2*x^5+2*P^2*x^4+4*P*x^5-7*P^2*x^3+10*P*x^4-5*P^2*x^2 +11*P*x^3+P^2*x+4*P*x^2+x^3+P^2-4*P*x+2*x^2-2*P+3*x+1, ((-x^2-x)*C+x^2+x+1)/((2 *x^4+2*x^3-x)*C-2*x^4-3*x^3-x^2+1), {3*n*(n-3)*a(n)+(-19*n^2+105*n-80)*a(n-1)+( -19*n^2+57*n-80)*a(n-2)+(207*n^2-1677*n+3120)*a(n-3)+(138*n^2-966*n+2016)*a(n-4 )+(-739*n^2+7755*n-19856)*a(n-5)+(-768*n^2+7326*n-17448)*a(n-6)+(780*n^2-11898* n+44520)*a(n-7)+(1642*n^2-19848*n+62024)*a(n-8)+(456*n^2+504*n-28056)*a(n-9)+(-\ 1066*n^2+20556*n-97808)*a(n-10)+(-740*n^2+11064*n-40120)*a(n-11)+(392*n^2-9816* n+59008)*a(n-12)+(624*n^2-13824*n+76512)*a(n-13)+96*(n-12)*(2*n-21)*a(n-14) = 0 , a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 13, a(6) = 25, a(7) = 48, a(8) = 96, a(9) = 202, a(10) = 453, a(11) = 1103, a(12) = 2934, a(13) = 8478, a(14) = 26237}, [1, 2, 4, 7, 13, 25, 48, 96, 202, 453, 1103, 2934, 8478, 26237, 85480 , 288818, 1000863, 3530675, 12617172, 45533242, 165602701, 606143834, 2230628158, 8247203411, 30617611409, 114084581421, 426495309281, 1599187571639, 6012680872594, 22663225380815, 85619721734887, 324151814059649, 1229640881861586, 4673080570216216, 17789738733319743, 67831085172577426, 259022261617056696, 990500866032234185, 3792677871590797049, 14540435848968511279, 55810908248619688767, 214458500297508848261, 824944006868713814728, 3176429466911369529665, 12242377912393548112891, 47226314449144920601267, 182337236426898423060896, 704567112152634533868178, 2724638483158693336677014, 10544350728560911524077241], 94714304776138642226956\ 4316005124923877457591339248991757623807241485955269150318533632270449223469085\ 2768001650597123649582681501890086827077369308867315069022248540988312175426386\ 3506356317837282186151841026429399080669706672562520743384988389234383552748458\ 0850087122247469621116815140954483557330020136228313571270196665852059933534794\ 8178157728397740019939663153296089056581443012612978780852466853414423129375478\ 2850344040285971085872162989390605294202499282896346261001379518878803895509103\ 2272967605171129206498617830952121118351004173456926668689732382745253932768426\ 8675547903649636178] ---------------------------- (A,B)= , {4, 5}, {1, 3} [P^2*x^7-2*P^2*x^6+5*P^2*x^5+2*P*x^6-2*P^2*x^4-4*P*x^5-2*P^2*x^3+6*P*x^4+x^5+9* P^2*x^2+P*x^3-2*x^4-8*P^2*x-10*P*x^2+x^3+2*P^2+12*P*x+3*x^2-4*P-4*x+2, ((-x^3+x ^2-x)*C+x^3-x^2+1)/((x^4-x^3+2*x^2-x)*C-x^4+x^3-2*x^2-x+1), {12*n*(n-3)*a(n)+(-\ 176*n^2+840*n-640)*a(n-1)+(1016*n^2-6516*n+8680)*a(n-2)+(-2968*n^2+23628*n-\ 43040)*a(n-3)+(4709*n^2-44805*n+102148)*a(n-4)+(-3946*n^2+44922*n-124808)*a(n-5 )+(1232*n^2-21696*n+84520)*a(n-6)+(777*n^2+3477*n-57900)*a(n-7)+(-1025*n^2-2775 *n+80228)*a(n-8)+(417*n^2+7407*n-92364)*a(n-9)+(-278*n^2-1500*n+36512)*a(n-10)+ (511*n^2-9183*n+41540)*a(n-11)+(-566*n^2+12624*n-70408)*a(n-12)+(395*n^2-9375*n +55540)*a(n-13)-30*(5*n-56)*(n-13)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 154, a(9) = 354, a(10) = 858, a(11) = 2207, a(12) = 6040, a(13) = 17540, a(14) = 53677, a(15) = 171550}, [1, 2, 4, 8, 16, 33, 70, 154, 354, 858, 2207, 6040, 17540, 53677, 171550, 567403, 1926982, 6678148, 23507876, 83769090, 301444647, 1093487230, 3993304480, 14666744299, 54135918500, 200689801719, 746863271257, 2789063217460, 10447946770246, 39249562507275, 147830269551765, 558115496451535 , 2111718250753150, 8006222116742101, 30411349633089312, 115718715107989317, 441042709403841460, 1683531117188903486, 6435522193843728764, 24633781354375549138, 94412362984913778211, 362281326816282965684, 1391726018805104626970, 5352121974302558204907, 20603383101456718213344, 79390590935834139742797, 306194119537698684262799, 1181960143910109795680034, 4566350219216350565752402, 17655477096721285911836273], 15274468594198531043522\ 3495769531786550820546773341340647967779205336192998412723648913815263009191066\ 3131547691506298699923925656875114983919961793569581730795397967621623785562747\ 6432186841910335103128197937564060325072706343883990468105001185370421146308110\ 3991435703904909564803870568974586870493969102455366743658867113513803673904527\ 0790397843958975382628495729265912632478445436236473074556568765207285468364422\ 9244826914927640068819036843841101074287674304391590244735810250081847991909181\ 4504256904626069991388621945526036329864295754422203424601456559101052263510617\ 96514771478826239207] ---------------------------- (A,B)= , {4, 5}, {1, 4} [P^2*x^8+2*P^2*x^7-P^2*x^6+2*P^2*x^5+2*P*x^6+P^2*x^4-7*P^2*x^3-P*x^4+9*P^2*x^2+ 8*P*x^3+x^4-5*P^2*x-12*P*x^2-2*x^3+P^2+8*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/ ((x^4+x^3-x^2)*C-x^4-x^3+x^2-2*x+1), {4*n*(n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1) +(454*n^2-3334*n+4692)*a(n-2)+(-1718*n^2+15254*n-29508)*a(n-3)+(3978*n^2-41298* n+99660)*a(n-4)+(-5875*n^2+69985*n-200622)*a(n-5)+(5455*n^2-74293*n+247446)*a(n -6)+(-2783*n^2+45161*n-178110)*a(n-7)+(159*n^2-9249*n+61086)*a(n-8)+(841*n^2-\ 6451*n-5142)*a(n-9)+(-638*n^2+5498*n+4788)*a(n-10)+(151*n^2-1393*n-4386)*a(n-11 )+(76*n^2-532*n-696)*a(n-12)+(-23*n^2-163*n+4362)*a(n-13)+(-46*n^2+1186*n-7596) *a(n-14)+(34*n^2-934*n+6372)*a(n-15)+12*(n-14)*(2*n-25)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 153, a(9) = 347, a(10) = 823, a(11) = 2055, a(12) = 5426, a(13) = 15161, a(14) = 44681, a (15) = 138004, a(16) = 443244}, [1, 2, 4, 8, 16, 33, 70, 153, 347, 823, 2055, 5426, 15161, 44681, 138004, 443244, 1469012, 4990282, 17282338, 60766762, 216260393, 777216512, 2815926675, 10272048284, 37689576194, 138988674665, 514831174039, 1914524472548, 7144778226864, 26748430652482, 100429694630204, 378068746436101, 1426688783902958, 5395783166996272, 20449058849172310, 77646319483472414, 295351576599156598, 1125321850192701567, 4294242836518371813 , 16410683961629879631, 62799872204858591681, 240629036965101503540, 923129708842075315901, 3545469491431293282502, 13631837386041406664139, 52466256155921400871040, 202128757135830643452328, 779430710882714118258196, 3008214948269344319893345, 11619946147539134939510819], 96681815612818587069971\ 0322951762350184809286609226029729283305271893496253471795456119278651837583961\ 1607867275253033471972543197932837792383546130848547103820973333727701239101746\ 6683359528304432523048803541313657039355750498805190954070972335710945649093240\ 4125774772672003204761392960954613916356173544704264948517008030580772698010411\ 9354977998527906599777493033662290308531157187177307119544282439909346017457805\ 6492831940660865076113943171136449889948249788669162059036587084325290259237370\ 6776452908802479810183243703447753393517785365520615800467758154101628932428941\ 8286407737796717975] ---------------------------- (A,B)= , {4, 5}, {1, 5} [P^2*x^9+2*P^2*x^8+3*P^2*x^7-3*P^2*x^5+2*P*x^6-3*P^2*x^4+3*P*x^5+2*P*x^4+7*P^2* x^2-2*P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x ^4+x^3-x^2)*C-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(561*n^2-4713* n+6912)*a(n-2)+(-1976*n^2+19834*n-40368)*a(n-3)+(3792*n^2-44442*n+114024)*a(n-4 )+(-3546*n^2+48336*n-150048)*a(n-5)+(631*n^2-11231*n+44400)*a(n-6)+(909*n^2-\ 16053*n+66648)*a(n-7)+(349*n^2-3605*n+5688)*a(n-8)+(-334*n^2+10232*n-61176)*a(n -9)+(-790*n^2+10556*n-28848)*a(n-10)+(185*n^2-4543*n+26064)*a(n-11)+8*(5*n-39)* (5*n-82)*a(n-12)+(221*n^2-3097*n+8880)*a(n-13)+(-44*n^2+1246*n-8376)*a(n-14)-4* (n-8)*(8*n-99)*a(n-15)+(-2*n^2+4*n+288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 147, a(9) = 320, a(10) = 715, a(11) = 1649, a(12) = 3952, a(13) = 9908, a(14) = 26122, a(15) = 72596, a(16) = 212402, a(17) = 651272}, [1, 2, 4, 8, 16, 33, 69, 147, 320, 715, 1649, 3952, 9908, 26122, 72596, 212402, 651272, 2078951, 6859036 , 23232680, 80333881, 282309044, 1004858284, 3613590744, 13104156806, 47852311735, 175774734974, 648951077410, 2406514270958, 8959027839046, 33469234042259, 125426961337087, 471376736511169, 1776103398291410, 6708060583160237, 25390560996288989, 96299088968958499, 365917290880149680, 1392829275594702133, 5310266795334291407, 20276487001682352175, 77532867201196924355, 296864607110700975502, 1138089729695437475333, 4368266291211731624260, 16785251831578212368121, 64566423757754459876209, 248611806066176361774471, 958188149452005158929549, 3696352842715421608164240], 2923602080902148548274913472677649165197656565726441855759556015671657967336276\ 5688745801985260628438117447344582469031799376866357701936053501185371119262727\ 9332494365773005298665490162069622384331666593686473939012151157567231561873132\ 8427900395076940802608521802992091287326900416963931357031048762515673159040289\ 7390241287990686660928289967708438791798769473394859864624231788840141467004283\ 3338186384212579452256325117847804630926264531049388746802721499838555942260765\ 4755963359014984051380481716512095690173760872460161045507346857900480857713664\ 734199993035006253050258982818437872483667] ---------------------------- (A,B)= , {4, 5}, {2, 3} [P^2*x^7-2*P^2*x^6-2*P*x^7-5*P^2*x^5+4*P*x^6+x^7+5*P^2*x^4+8*P*x^5-2*x^6+14*P^2 *x^3-10*P*x^4-3*x^5-P^2*x^2-19*P*x^3+5*x^4-7*P^2*x+8*P*x^2+6*x^3+2*P^2+10*P*x-5 *x^2-4*P-3*x+2, ((x^4-x^3-x^2+x)*C-x^4+x^3+2*x^2-1)/((x^4-x^3-2*x^2+x)*C-x^4+x^ 3+3*x^2+x-1), {-6*n*(n-3)*a(n)+(83*n^2-399*n+304)*a(n-1)+(-412*n^2+2721*n-3656) *a(n-2)+(780*n^2-6789*n+12840)*a(n-3)+(78*n^2+1014*n-4632)*a(n-4)+(-1830*n^2+ 18519*n-47136)*a(n-5)+(905*n^2-14433*n+54040)*a(n-6)+(1364*n^2-12915*n+23152)*a (n-7)+(-656*n^2+11667*n-50992)*a(n-8)+(251*n^2-13152*n+98968)*a(n-9)+(-7*n^2+ 3090*n-32048)*a(n-10)+(-969*n^2+24909*n-156480)*a(n-11)+(90*n^2-3981*n+35112)*a (n-12)+(508*n^2-12990*n+82904)*a(n-13)+(-54*n^2+1686*n-12936)*a(n-14)-3*(37*n-\ 448)*(n-15)*a(n-15)+14*(n-16)*(2*n-25)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 29, a(6) = 71, a(7) = 175, a(8) = 436, a(9) = 1099, a(10) = 2810, a(11) = 7310, a(12) = 19416, a(13) = 52854, a(14) = 147996, a(15) = 427525, a(16) = 1276359}, [1, 2, 5, 12, 29, 71, 175, 436, 1099, 2810, 7310, 19416, 52854, 147996, 427525, 1276359, 3938807, 12546455, 41139229, 138367199, 475549428, 1663994821, 5908636482, 21232946438, 77046710966, 281807472148, 1037543451436, 3841046358217, 14286297102919, 53349812140591, 199924032283538, 751513442067138, 2832714999571906, 10703947731634945, 40537828709218192, 153839634928732033, 584918312922299474, 2227814602398519985, 8498947823643076304, 32471728761107221874, 124238713681077528115, 475971988889210347571, 1825762067932358870293, 7011549160680841583739, 26956426048166119662955, 103744035296176503134863, 399661759690170258158048, 1541092638923197128823833, 5947731379896438153143726, 22974267832041215691800604], 19203671484248303162209966143099176764102144481556\ 7549796759037269683778862450002509376941464896771381845287556924398417805950788\ 7799556980326126989394389221853480271966128988361672612986652063843844931608618\ 2696290073854695363514987926395335199570363868815992517937647774805243944860272\ 0620390964339310651708667477676153579800352190545084063192315396523955415428251\ 5864795771806611609984281660885252729198087590619194990338594050461396784741133\ 2880283215957107392019010248806248576985936060149796910096555748078696743222360\ 439924418362733690417695714323720356713386796575407762712786101091344736] ---------------------------- (A,B)= , {4, 5}, {2, 4} [4*P^2*x^6-4*P*x^6+6*P^2*x^4+x^6-7*P^2*x^3-5*P*x^4+8*P^2*x^2+8*P*x^3+x^4-5*P^2* x-10*P*x^2-2*x^3+P^2+8*P*x+3*x^2-2*P-3*x+1, ((x^3-x^2)*C-x^3-x+1)/((2*x^3-x^2)* C-2*x^3-2*x+1), {-4*n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-1)+(-448*n^2+3298*n-\ 4644)*a(n-2)+(1644*n^2-14634*n+28308)*a(n-3)+(-3664*n^2+37828*n-90744)*a(n-4)+( 5423*n^2-62807*n+175818)*a(n-5)+(-5799*n^2+73635*n-230946)*a(n-6)+(4632*n^2-\ 63366*n+216204)*a(n-7)+(-2831*n^2+38165*n-126390)*a(n-8)+(1526*n^2-16088*n+ 24120)*a(n-9)+(-476*n^2+1088*n+35664)*a(n-10)+(-100*n^2+5860*n-52152)*a(n-11)+( 224*n^2-6344*n+43920)*a(n-12)-16*(7*n-78)*(n-13)*a(n-13)+96*(n-14)*(2*n-25)*a(n -14) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 29, a(6) = 71, a(7) = 175, a(8) = 435, a(9) = 1092, a(10) = 2773, a(11) = 7140, a(12) = 18695, a(13) = 49944, a(14) = 136624}, [1, 2, 5, 12, 29, 71, 175, 435, 1092, 2773, 7140, 18695, 49944, 136624, 384021, 1112245, 3325213, 10264628, 32677689, 107022791, 359415147, 1233245272, 4308336435, 15275693960, 54821414006, 198698577619, 726046318209, 2670865336937, 9880588499894, 36726996191335, 137078119822956, 513452313667264, 1929285818570177, 7269554200429075, 27460646078409799, 103968811691065619, 394455806717388540, 1499418058562285945, 5709688543314772000, 21777683303056483468, 83190055539942726011, 318235051804948930529, 1218996506126846744073, 4675194104651629114012, 17951791791741590795933, 69007779211978826893054, 265548611111506404486648, 1022872738773848324114851, 3943742642279081934268599, 15218941981371936505270071], 12252084047768205189215920435090085630218123577943\ 7982609064813720555712995327036892308745072663868321566594326952097766470156728\ 5378452583934366996345057933056233956233700884662553867843860709115091223069066\ 4126667773342347659653645480869724044029043245142529123816470523650846849433344\ 4490248582914199578942562201280896615370889176977325103423888236403901571239047\ 1541239354646596766457358745816293934022970537919565814562079641501340318205901\ 5136609866997759566890541315821959398211546790083927260286836319607947701374893\ 453517991110381257029413916711852340146378855654449825431968661279777562] ---------------------------- (A,B)= , {4, 5}, {2, 5} [9*P^2*x^7+6*P^2*x^6-12*P*x^7-8*P^2*x^5-4*P*x^6+4*x^7-8*P^2*x^4+15*P*x^5+7*P^2* x^3+8*P*x^4-6*x^5+5*P^2*x^2-14*P*x^3-x^4-5*P^2*x-4*P*x^2+6*x^3+P^2+8*P*x-2*P-3* x+1, ((2*x^4-x^2)*C-x^2-x+1)/((3*x^4+x^3-x^2)*C-x^2-2*x+1), {-5*n*(n-5)*a(n)+( 83*n^2-559*n+456)*a(n-1)+(-545*n^2+4597*n-6744)*a(n-2)+(1731*n^2-17601*n+35880) *a(n-3)+(-2316*n^2+28362*n-73392)*a(n-4)+(-814*n^2+6812*n-16440)*a(n-5)+(5401*n ^2-76961*n+267348)*a(n-6)+(-2294*n^2+46366*n-210636)*a(n-7)+(-5803*n^2+87995*n-\ 333492)*a(n-8)+(3667*n^2-82163*n+440604)*a(n-9)+(4298*n^2-51526*n+87144)*a(n-10 )+(-2658*n^2+49710*n-219816)*a(n-11)+(-1310*n^2+8734*n+79560)*a(n-12)+(499*n^2-\ 5033*n-20196)*a(n-13)+(-1020*n^2+33342*n-266184)*a(n-14)+36*(7*n-104)*(n-21)*a( n-15)+648*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 29, a(6) = 71, a(7) = 174, a(8) = 429, a(9) = 1063, a(10) = 2649, a(11) = 6647, a(12) = 16818, a(13) = 42994, a(14) = 111337, a(15) = 292980, a(16) = 786312}, [1, 2, 5, 12, 29, 71, 174, 429, 1063, 2649, 6647, 16818, 42994, 111337 , 292980, 786312, 2160860, 6103809, 17778671, 53502098, 166402780, 534173043, 1764999291, 5981126038, 20706318341, 72958672855, 260773600434, 942879312502, 3440979465904, 12652537891017, 46811373481427, 174079789164163, 650157464661514 , 2437200615443576, 9165478946784147, 34565521164790043, 130683599769849058, 495199188819377143, 1880309201113728467, 7153082285250522416, 27258821882113046748, 104043511833580987910, 397711553915570431407, 1522382104382231694333, 5835030126661066987873, 22391963669465701143236, 86028021429118725422808, 330870666621984010099717, 1273859596401502605020609, 4909150872244239210733055], 375749015645700165140961633916479943826169502257796\ 0420531213998590940089918753969760002459924083804383925896222163678199614734500\ 6841184607243763253167583350974702509678508809856671638667076419566046692871768\ 8703753469610823836010847050346539559218844862046041364732135503568357473523483\ 8059575600598369512806457956712296639121834681881881270062759211464757195123029\ 4404395520271255749200882247551490353539227248513527006698197330546499375611970\ 3810620599837085692763920255290721962635330559498113210718715070067020628237308\ 4852060644349862565988749455932072625313898839690666684971640141019575] ---------------------------- (A,B)= , {4, 5}, {3, 4} [P^2*x^8-2*P^2*x^7-P^2*x^6+2*P*x^7+9*P^2*x^5-2*P*x^6-11*P^2*x^4-6*P*x^5+x^6+15* P*x^4+10*P^2*x^2-6*P*x^3-4*x^4-6*P^2*x-12*P*x^2+4*x^3+P^2+10*P*x+3*x^2-2*P-4*x+ 1, (-C*x^3+x^3-2*x+1)/((x^4-x^3)*C-x^4+x^3+x^2-3*x+1), {4*n*(n-4)*a(n)+(-73*n^2 +415*n-330)*a(n-1)+(548*n^2-4016*n+5664)*a(n-2)+(-2159*n^2+19355*n-37638)*a(n-3 )+(4616*n^2-49340*n+120720)*a(n-4)+(-4451*n^2+58097*n-175014)*a(n-5)+(-1247*n^2 +3893*n+17394)*a(n-6)+(7299*n^2-87513*n+260118)*a(n-7)+(-6331*n^2+84391*n-\ 277254)*a(n-8)+(1120*n^2-18178*n+76488)*a(n-9)+(1314*n^2-11778*n-7236)*a(n-10)+ (-808*n^2+6640*n+14664)*a(n-11)+(529*n^2-13153*n+84954)*a(n-12)+(-675*n^2+20655 *n-152526)*a(n-13)+(376*n^2-11260*n+83064)*a(n-14)+(45*n^2-1137*n+6978)*a(n-15) +(-126*n^2+3594*n-25500)*a(n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 241, a(8) = 652, a(9) = 1781, a(10) = 4913, a(11) = 13696, a(12) = 38623, a(13) = 110318, a(14) = 319598, a(15) = 940487, a(16) = 2815140, a(17) = 8581614}, [1, 2, 5, 13, 34, 90 , 241, 652, 1781, 4913, 13696, 38623, 110318, 319598, 940487, 2815140, 8581614, 26665002, 84491155, 272995523, 898950117, 3013847274, 10273910268, 35555795506, 124720521901, 442708525158, 1587777333068, 5745825670617, 20954411076402, 76930555002091, 284073304460649, 1054238507811617, 3929580518679924, 14703465327761720, 55203262920996272, 207882617684853565, 784951360914769908, 2971135467551317336, 11270901926720881721, 42841730195821150946, 163145362317535168649, 622327189844651890711, 2377628593998897682849, 9097079107662083718878, 34853767383491422836708, 133705435041980663842520, 513529894075042662731040, 1974553482258111432460820, 7600298939252056224572068, 29283682555124650820009141], 22395155572063225868881431620667378396227679401395\ 0272030410568380680517235427121009541806698622040366355059916966002091701785529\ 0025917838326984203823749447583422594357394099208971613982392021325110588393543\ 1880214745646286445802211197424392237883357072300720389956913398418838023604989\ 7886110419435601233290059481785396602251351213861223110612819461332339064971174\ 0245616128267671640501635698026835042428215204128457986720133283489343847868413\ 0275202556530887050083885360578188690289179426583719787511799300713218389275295\ 595469035503936723287442913910715416992742245086211804024257934757735986] ---------------------------- (A,B)= , {4, 5}, {3, 5} [P^2*x^9-4*P^2*x^8+10*P^2*x^7+2*P*x^8-13*P^2*x^6-8*P*x^7+8*P^2*x^5+16*P*x^6+x^7 +5*P^2*x^4-15*P*x^5-4*x^6-17*P^2*x^3+6*x^5+17*P^2*x^2+18*P*x^3-2*x^4-7*P^2*x-24 *P*x^2-4*x^3+P^2+12*P*x+8*x^2-2*P-5*x+1, ((-x^4+2*x^3-x^2)*C-2*x+1)/((x^5-2*x^4 +3*x^3-x^2)*C+x^2-3*x+1), {5*n*(n-5)*a(n)+(-101*n^2+673*n-552)*a(n-1)+(875*n^2-\ 7243*n+10656)*a(n-2)+(-4265*n^2+42019*n-85440)*a(n-3)+(12891*n^2-146925*n+ 373320)*a(n-4)+(-25018*n^2+323696*n-975384)*a(n-5)+(30692*n^2-447532*n+1556100) *a(n-6)+(-20523*n^2+349725*n-1419588)*a(n-7)+(-774*n^2-51954*n+443484)*a(n-8)+( 17535*n^2-210201*n+505356)*a(n-9)+(-19866*n^2+251982*n-589668)*a(n-10)+(11983*n ^2-129761*n+45456)*a(n-11)+(-4274*n^2+24730*n+264204)*a(n-12)+(1866*n^2-23820*n +20904)*a(n-13)+(-2635*n^2+72107*n-498552)*a(n-14)+(3061*n^2-91523*n+683772)*a( n-15)+(-2188*n^2+67190*n-515712)*a(n-16)+(995*n^2-31279*n+245664)*a(n-17)-2*( 139*n-2124)*(n-17)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 240, a(8) = 644, a(9) = 1737, a(10) = 4709, a(11) = 12834, a(12) = 35183, a(13) = 97091, a(14) = 269991, a(15 ) = 757532, a(16) = 2147816, a(17) = 6164438, a(18) = 17943705, a(19) = 53075653}, [1, 2, 5, 13, 34, 90, 240, 644, 1737, 4709, 12834, 35183, 97091, 269991, 757532, 2147816, 6164438, 17943705, 53075653, 159824007, 490716247, 1537944513, 4922580067, 16088550905, 53649198191, 182284116913, 629983055158, 2210419272985, 7858575312907, 28257487887421, 102592227166819, 375532101828470, 1384156912006896, 5131823531876890, 19121759062264553, 71555542357121560, 268759835104098398, 1012707388066066944, 3826772316868352390, 14496761748565485659, 55040696158886253226, 209399383135285274011, 798113758252794559196, 3047079202784195122991, 11651282289475415845442, 44615340275902905005581, 171068940007320499681316, 656743663407784533537695, 2524202033604647792782615, 9712370546212373661066202], 708806265435899065850386\ 0484770170233706688415811567805206048681462826374709354023483003765841144120910\ 6946195451186750684271344019171780517115877167793541559269911762318413749363242\ 5383260846053495788904915153228940767312991228212844948921479562755153846578758\ 1130240204933320634442658305430587716109162576525398854604791595353633436841565\ 7356729739854957687980112911440953698482548539342561529479536679953939824601390\ 5892646447688257531610105989363747104543033194640618966268611633646836429708530\ 2774279546970718051273253112024119659778232908246127928165934116206531367465320\ 433224268861590916] ---------------------------- (A,B)= , {4, 5}, {4, 5} [4*P^2*x^7-4*P^2*x^6-4*P*x^7+3*P^2*x^5+6*P*x^6+x^7-6*P^2*x^4-3*P*x^5-2*x^6-P^2* x^3+8*P*x^4+x^5+10*P^2*x^2-4*P*x^3-2*x^4-6*P^2*x-12*P*x^2+3*x^3+P^2+10*P*x+3*x^ 2-2*P-4*x+1, ((x^4-x^3)*C-2*x+1)/((2*x^4-x^3)*C+x^2-3*x+1), {-5*n*(n-5)*a(n)+( 92*n^2-616*n+504)*a(n-1)+(-698*n^2+5830*n-8568)*a(n-2)+(2793*n^2-27909*n+56832) *a(n-3)+(-6160*n^2+71828*n-183624)*a(n-4)+(6665*n^2-90169*n+276408)*a(n-5)+(-\ 794*n^2+18238*n-75048)*a(n-6)+(-5638*n^2+79568*n-282504)*a(n-7)+(5632*n^2-79760 *n+279576)*a(n-8)+(-2956*n^2+26648*n-5808)*a(n-9)+(1478*n^2-1612*n-126528)*a(n-\ 10)+(56*n^2-11536*n+120264)*a(n-11)+(-570*n^2+9276*n-31776)*a(n-12)+(-100*n^2+ 5912*n-59544)*a(n-13)+(392*n^2-11224*n+80352)*a(n-14)+(-400*n^2+11648*n-84768)* a(n-15)+96*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13 , a(5) = 34, a(6) = 90, a(7) = 240, a(8) = 643, a(9) = 1730, a(10) = 4674, a(11 ) = 12683, a(12) = 34582, a(13) = 94816, a(14) = 261655, a(15) = 727638, a(16) = 2042109}, [1, 2, 5, 13, 34, 90, 240, 643, 1730, 4674, 12683, 34582, 94816, 261655, 727638, 2042109, 5793901, 16651044, 48574062, 144139369, 435942494, 1345975451, 4246710333, 13696631282, 45136851932, 151815915977, 520299422989, 1813336582257, 6413234950553, 22969532074923, 83152235600320, 303744518356150, 1117961171109222, 4140971666679463, 15420609434842411, 57686123207294782, 216633516886939424, 816268859178351765, 3084657848040282607, 11686783008416370603, 44378535206953454565, 168864612050956859261, 643734837654669941798, 2458140569287954239304, 9401069441133878016444, 36005333401181272900097, 138079947355244007018319, 530187432682829364313842, 2038115410992156997971559, 7843284621083108185338567], 575677720675284784593208\ 8362787421730015907179881127988572540599681429080784814833428442744133862906072\ 3412118030135542936403132040453833251691813806669058916638592550838128509098049\ 9021340630799737512388334382999614216681450780543924258811098567079963372832234\ 9596752185799464639211605758878828776309613890408702865807551444266411915517275\ 9075486120160168358035452708583888276667138213780323416482774016063553299753950\ 2174794667699192756185394437238642466277484449548756006130448708164103443433462\ 4050298141995616768243555666253762421114374939723782937912467691004067471848504\ 893519748415123387] ---------------------------- (A,B)= , {4, 5}, {1, 2, 3} [P^2*x^9-2*P^2*x^8-3*P^2*x^7+P^2*x^6+8*P^2*x^5+9*P^2*x^4-2*P*x^5-2*P^2*x^3-4*P^ 2*x^2+7*P*x^3-3*P^2*x+6*P*x^2+2*P^2+2*P*x-4*P+x+2, (C*x-x-1)/((x^5-x^4-x^3-x^2+ x)*C-x^5+x^4+2*x^3+2*x^2-1), {-12*n*(n-3)*a(n)+(126*n^2-630*n+480)*a(n-1)+(-392 *n^2+2718*n-3640)*a(n-2)+(197*n^2-1929*n+3580)*a(n-3)+(446*n^2-4614*n+10816)*a( n-4)+(517*n^2-2457*n+344)*a(n-5)+(-1115*n^2+12063*n-31780)*a(n-6)+(-1014*n^2+ 8460*n-14400)*a(n-7)+(312*n^2-5148*n+16524)*a(n-8)+(999*n^2-12195*n+36060)*a(n-\ 9)+(409*n^2-3213*n+3560)*a(n-10)+(-208*n^2+618*n+7852)*a(n-11)+(-32*n^2-888*n+ 10976)*a(n-12)+(71*n^2-1257*n+5968)*a(n-13)+(-14*n^2+558*n-4192)*a(n-14)+(-62*n ^2+1362*n-7456)*a(n-15)+12*(n-12)*(2*n-21)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3 ) = 4, a(4) = 7, a(5) = 13, a(6) = 25, a(7) = 48, a(8) = 96, a(9) = 201, a(10) = 447, a(11) = 1074, a(12) = 2809, a(13) = 7974, a(14) = 24278, a(15) = 78025, a(16) = 260787}, [1, 2, 4, 7, 13, 25, 48, 96, 201, 447, 1074, 2809, 7974, 24278 , 78025, 260787, 896126, 3140414, 11163935, 40118144, 145396154, 530604372, 1947658245, 7184960844, 26621634755, 99021388777, 369600313621, 1383881327846, 5196427423258, 19563384765000, 73828450793409, 279230614678226, 1058254629059484, 4018292104027615, 15284812178721103, 58236450004418237, 222228523723248280, 849245278402837547, 3249803104654364831, 12451940208986787828, 47768493478118731167, 183460135443658996265, 705360237190416363338, 2714719012120547829896, 10458294519000779206298, 40327197278044991771076, 155638500804640633871591, 601173573286397937616003, 2323966337079505410467179, 8990654199674505690293232], 796117359169208197526644\ 8397646912514908090288190472268320839567296730473152909173017909480384945872616\ 9794174972232189498176607323007089658497924192851180533155590431100547048450713\ 8349514569021350170675680990550601342912584606423017024811348934774783887138017\ 3885624988075832606740854476551452455841016399811219638304851193987241462312769\ 7617048128696186820828818580060568340857040128334703449625878069359118471608109\ 7370192352594143612940546338493352974802347826869675791702616675231803321338411\ 1472315619008433973128085986729135956762502097132068992909597194087724356463335\ 894978849453961989] ---------------------------- (A,B)= , {4, 5}, {1, 2, 4} [P^2*x^8+4*P^2*x^7+3*P^2*x^6+2*P*x^6+P^2*x^4+4*P*x^5-3*P^2*x^3+P*x^4+3*P^2*x^2+ 4*P*x^3+x^4-3*P^2*x-4*P*x^2+P^2+4*P*x+2*x^2-2*P-x+1, (-C*x^2+x^2+1)/((x^4+x^3-x ^2)*C-x^4-2*x^3-x+1), {4*n*(n-4)*a(n)+(-52*n^2+304*n-240)*a(n-1)+(260*n^2-1952* n+2736)*a(n-2)+(-666*n^2+5982*n-11532)*a(n-3)+(1058*n^2-10934*n+26316)*a(n-4)+( -1219*n^2+14125*n-39726)*a(n-5)+(1011*n^2-12921*n+40710)*a(n-6)+(-645*n^2+8307* n-26706)*a(n-7)+(439*n^2-5869*n+19638)*a(n-8)+(-47*n^2+2693*n-17406)*a(n-9)+(-\ 120*n^2-12*n+9288)*a(n-10)+(45*n^2+105*n-6294)*a(n-11)+(-98*n^2+1898*n-8556)*a( n-12)+(-95*n^2+1829*n-8838)*a(n-13)+(66*n^2-1770*n+11820)*a(n-14)+(98*n^2-2582* n+16980)*a(n-15)+12*(n-14)*(2*n-25)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 13, a(6) = 25, a(7) = 48, a(8) = 95, a(9) = 196, a(10) = 425, a(11) = 985, a(12) = 2468, a(13) = 6701, a(14) = 19589, a(15) = 60863, a(16) = 198089}, [1, 2, 4, 7, 13, 25, 48, 95, 196, 425, 985, 2468, 6701, 19589, 60863, 198089, 666905, 2300579, 8077906, 28741413, 103315377, 374442513, 1366312507, 5014310444, 18494023454, 68509064616, 254771316262, 950748798046, 3559169740120 , 13362131487971, 50296807768936, 189779822583105, 717667376685956, 2719493330054956, 10324771746450877, 39268419773666996, 149597923453176655, 570795574529756732, 2181055064725861882, 8345370386761987884, 31972963196168666628, 122644128532852748058, 470986222671418398634, 1810675126510241120306, 6968177230779600062153, 26842408316933658239493, 103496680901025643640242, 399405983914419872030530, 1542651568207858918060468, 5963063626944959234321255], 509962663148073529673685729924659506594957714293835\ 0173973452735887984985401199465337645220240394145304734585258893195159926499913\ 9817431621246572661527157967744081429591030816336124180592170405765101320841352\ 6654247973661217413877608090640520305604442268720364246399818353199782143783243\ 5676574884539530406057375676324101561555870632233420813688924292872882490166401\ 2648195673207175934502885632540266472456302190617796674408781035585475882355333\ 9801904900451335741518398254567908968896394280672815077395992151988633307517684\ 7860100777258175162371353422553083309955749621788913182172686191948201] ---------------------------- (A,B)= , {4, 5}, {1, 2, 5} [4*P^2*x^9+8*P^2*x^8+2*P^2*x^7-7*P^2*x^6+4*P*x^7-6*P^2*x^5+8*P*x^6+4*P^2*x^4+3* P*x^5+4*P^2*x^3-6*P*x^4+x^5-4*P*x^3+2*x^4-3*P^2*x+2*P*x^2+x^3+P^2+4*P*x-x^2-2*P -x+1, (1+(-x^3-x^2)*C)/((2*x^5+2*x^4-x^2)*C-x^3-x^2-x+1), {5*n*(n-5)*a(n)+(-65* n^2+445*n-360)*a(n-1)+(303*n^2-2613*n+3804)*a(n-2)+(-553*n^2+5807*n-11796)*a(n-\ 3)+(73*n^2-1409*n+4104)*a(n-4)+(699*n^2-9495*n+29352)*a(n-5)+(350*n^2-1480*n-\ 3972)*a(n-6)+(-1639*n^2+23507*n-82116)*a(n-7)+(-503*n^2+2239*n+11436)*a(n-8)+( 1810*n^2-29978*n+121920)*a(n-9)+(1163*n^2-11479*n+10848)*a(n-10)+(-1414*n^2+ 27314*n-128736)*a(n-11)+(-1221*n^2+16035*n-37836)*a(n-12)+(594*n^2-15816*n+ 103872)*a(n-13)+(452*n^2-6256*n+9024)*a(n-14)+(-268*n^2+9548*n-79056)*a(n-15)+( -504*n+7008)*a(n-16)+80*(n-15)*(5*n-76)*a(n-17)+96*(n-16)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 13, a(6) = 25, a(7) = 47, a(8) = 91, a(9) = 180, a(10) = 365, a(11) = 772, a(12) = 1723, a(13) = 4111, a(14) = 10586, a(15) = 29432, a(16) = 87667, a(17) = 276207, a(18) = 908104}, [1, 2, 4, 7, 13, 25, 47, 91, 180, 365, 772, 1723, 4111, 10586, 29432, 87667, 276207, 908104, 3080027, 10684625, 37682550, 134563711, 485206254, 1763254174, 6449332075, 23719394746, 87652127780, 325268623277, 1211553218697, 4527918832583, 16973535174750, 63803674235850, 240445775589768, 908234805423625 , 3438039548958442, 13040268128607009, 49552305554724864, 188620167862999128, 719134425247448784, 2745903689004700315, 10499619303352348593, 40201129893060640914, 154115410900985561472, 591515972332726737216, 2272853835200586172184, 8742495986929595019543, 33661585770522223296118, 129731965362175467970382, 500440496884425331286706, 1932111179695838152234502], 1575180889000615500687869251961718561844807930101608805202036659616943343463615\ 1103770331156989609924942801986102403880971794781675385381127065722838042707237\ 9942389619838296070500535423942894623897554064076004996717856362854221324400110\ 1978966090023347301420325510455231034178173694827125558604748582069261659108714\ 7013943218627143523236369728067482048044931098122449035440998100723853242619540\ 8310750318104813282551469560890051113168508484522184462862818181115135567513011\ 6245525927476459260960378130554861046982570584643895945855347928650341768184241\ 970318899549643884922738614074692108483814] ---------------------------- (A,B)= , {4, 5}, {1, 3, 4} [P^2*x^8-2*P^2*x^7+P^2*x^6+2*P*x^7+4*P^2*x^5-2*P*x^6-8*P^2*x^4-2*P*x^5+x^6+5*P^ 2*x^3+9*P*x^4+3*P^2*x^2-8*P*x^3-2*x^4-4*P^2*x-2*P*x^2+3*x^3+P^2+6*P*x-2*P-2*x+1 , (-C*x^3+x^3-x+1)/((x^4-x^3)*C-x^4+x^3-2*x+1), {4*n*(n-4)*a(n)+(-59*n^2+341*n-\ 270)*a(n-1)+(336*n^2-2514*n+3540)*a(n-2)+(-899*n^2+8285*n-16182)*a(n-3)+(937*n^ 2-10933*n+27846)*a(n-4)+(678*n^2-4740*n+7128)*a(n-5)+(-2742*n^2+30558*n-84780)* a(n-6)+(2462*n^2-30104*n+91140)*a(n-7)+(-144*n^2+1134*n-396)*a(n-8)+(-1270*n^2+ 16384*n-47220)*a(n-9)+(935*n^2-10805*n+19866)*a(n-10)+(-388*n^2+7252*n-36600)*a (n-11)+(364*n^2-12316*n+94800)*a(n-12)+(-327*n^2+11007*n-85878)*a(n-13)+(64*n^2 -2380*n+20208)*a(n-14)+(141*n^2-3873*n+26466)*a(n-15)+(-126*n^2+3594*n-25500)*a (n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 153, a(9) = 346, a(10) = 815, a(11) = 2013, a(12) = 5241, a(13) = 14416, a(14) = 41828, a(15) = 127389, a(16) = 404378, a(17) = 1327852}, [1, 2, 4, 8, 16, 33, 70, 153, 346, 815, 2013, 5241, 14416, 41828, 127389, 404378, 1327852, 4479159, 15431483, 54051271, 191819665, 687942658, 2488582725, 9067124194, 33237706950, 122481403753, 453417179394, 1685319893270, 6286853805207, 23528438546322, 88313766154322, 332372848182828, 1253967712076834, 4741604815850123, 17966665132199381, 68209731230106052, 259419676882640123, 988290012515561683, 3770885771425855923, 14409105305723010899, 55134893298825241711, 211240256132436772455, 810317640133452984844, 3111952336342451489857, 11964171186328187768853, 46044684979344836167701, 177378387116666039587296, 683951085357439353342064, 2639568462900120098365654, 10195444751799318164727236], 84706157048036849743666\ 2467747789965958805502917270102197987088057902609162682378771145666354807400022\ 2174548596294993189239575791722532518261072159261599137620614843729017713469638\ 1564222064846364117833455334037615358948998151233863342651368281043051482188888\ 8169914684096989241834908059371043742537547810725529730466199181779932501519186\ 6184124994091856049379487605042335213035303102409160891010836705453197356833109\ 6896256296839579297849282837823428029716993728281997380224653963901868091480057\ 9735402328070244083885128364600287160848224767320892785224420966064781440590319\ 3598204765545443128] ---------------------------- (A,B)= , {4, 5}, {1, 3, 5} [P^2*x^9-2*P^2*x^8+5*P^2*x^7+2*P*x^8-6*P^2*x^6-4*P*x^7+4*P^2*x^5+8*P*x^6+x^7-P^ 2*x^4-7*P*x^5-2*x^6-4*P^2*x^3+2*P*x^4+3*x^5+8*P^2*x^2+4*P*x^3-x^4-5*P^2*x-10*P* x^2-x^3+P^2+8*P*x+3*x^2-2*P-3*x+1, ((-x^4+x^3-x^2)*C-x+1)/((x^5-x^4+2*x^3-x^2)* C-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(569*n^2-4771*n+6996)*a(n-\ 2)+(-2101*n^2+20963*n-42612)*a(n-3)+(4564*n^2-52760*n+134712)*a(n-4)+(-5899*n^2 +77999*n-238464)*a(n-5)+(4030*n^2-62390*n+226680)*a(n-6)+(66*n^2+9306*n-66684)* a(n-7)+(-3610*n^2+40772*n-99192)*a(n-8)+(4901*n^2-57415*n+129036)*a(n-9)+(-3895 *n^2+39989*n-24468)*a(n-10)+(1958*n^2-12202*n-87108)*a(n-11)+(-703*n^2+635*n+ 80136)*a(n-12)+(482*n^2-8476*n+35892)*a(n-13)+(-714*n^2+20676*n-150624)*a(n-14) +(868*n^2-26486*n+201516)*a(n-15)+(-716*n^2+22318*n-173760)*a(n-16)+(403*n^2-\ 12755*n+100872)*a(n-17)-30*(5*n-76)*(n-17)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8 ) = 147, a(9) = 319, a(10) = 709, a(11) = 1622, a(12) = 3847, a(13) = 9528, a( 14) = 24802, a(15) = 68106, a(16) = 197265, a(17) = 600289, a(18) = 1906522, a( 19) = 6271624}, [1, 2, 4, 8, 16, 33, 69, 147, 319, 709, 1622, 3847, 9528, 24802 , 68106, 197265, 600289, 1906522, 6271624, 21213625, 73327130, 257759318, 918051195, 3304019891, 11991563434, 43825570425, 161109236541, 595238327676, 2208800076487, 8227970226081, 30755164809727, 115314102593566, 433570679750223, 1634343502272755, 6175048986016225, 23381412764739801, 88708209752816348, 337176424182436729, 1283794035262707261, 4895854961490976350, 18698726679345769439, 71516360164866643236, 273887357847848627555, 1050215461518013920360, 4031755481127509771549, 15494993444840052058290, 59613469226993480701806, 229577628886268279755946, 884962981179554526260929, 3414372032802446250025853], 271515588860424320609833646575159243631469223288326\ 6889424787421244059420503215897342856683567984498919230461952923472608460790611\ 9076939507053944731912921764106067695105280499557928502441168020368902372253207\ 1793165999214055563984620061207095396497069642319838668283724785566744821019832\ 7455153970520873749471539887536704007027522924083533622129101078855795209877422\ 6687996502103116274476277157868558683683720518849533630616119269979017100704615\ 5512561188607975767707988930112691778495095401640780024335544357096315014853952\ 1133251329439553783998442807135882034453550733387837898515295496418808] ---------------------------- (A,B)= , {4, 5}, {1, 4, 5} [P^2*x^9+2*P^2*x^8-P^2*x^7-2*P^2*x^6+2*P*x^7-P^2*x^5+2*P*x^6-P^2*x^4-P*x^5+3*P^ 2*x^3+x^5+3*P^2*x^2-4*P*x^3-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (-C*x^3-x+ 1)/((x^5+x^4-x^3)*C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(424*n^2 -3602*n+5268)*a(n-2)+(-1157*n^2+11797*n-24000)*a(n-3)+(1384*n^2-16766*n+43452)* a(n-4)+(-86*n^2+2476*n-10020)*a(n-5)+(-1123*n^2+15617*n-52284)*a(n-6)+(448*n^2-\ 7130*n+28092)*a(n-7)+(130*n^2-3590*n+19440)*a(n-8)+(128*n^2-2950*n+15012)*a(n-9 )+(336*n^2-936*n-19320)*a(n-10)+(-409*n^2+5627*n-14148)*a(n-11)+(-200*n^2+1540* n+4680)*a(n-12)+(162*n^2-2682*n+9960)*a(n-13)+(68*n^2-1096*n+3648)*a(n-14)-6*(7 *n-103)*(n-16)*a(n-15)-36*(n-14)*(n-16)*a(n-16)+6*(7*n-103)*(n-16)*a(n-17)+12*( n-16)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 146, a(9) = 314, a(10) = 689, a(11) = 1550, a(12) = 3600, a(13) = 8703, a(14) = 22074, a(15) = 59091, a(16) = 167310, a(17) = 499849, a(18) = 1566040}, [1, 2, 4, 8, 16, 33, 69, 146, 314, 689, 1550, 3600, 8703, 22074, 59091, 167310, 499849, 1566040, 5103965, 17163135, 59123779, 207458235, 738313745, 2656652956, 9643452950, 35255412437, 129657007753, 479243575206, 1779145434842, 6630260582610, 24792993595069, 92994112641198, 349771253826894, 1318889044246928, 4984668513429430, 18879418290266722, 71646580607060673, 272392528744553659, 1037368126628674157, 3956940075536723833 , 15115785519282651343, 57823810921598121350, 221488516235362612332, 849437134740982435756, 3261494611020340231449, 12536602946509304616877, 48238688849880209458141, 185797630448897469067134, 716295669689546229690882, 2763961537390733069713870], 220877538426991254160411908921166478988030828160739\ 6534223207297506171106234007389582946171999003984550442145087116849091724059282\ 7117262356443251958477000956932283014294280512816350357068968718272620312941090\ 7194873748933300359893546596879944501046718568591520151366770068478836549938250\ 4754491880654813053871723456251531615812049759375772196049564206211248277744351\ 8354520661522779096905998694839968783083920815948832065792610396635752363848962\ 1846695912549013131205867667051749838888462609610382254828202458948925357654911\ 8197975083092160384028727218836991730840065300529844636282691712028630] ---------------------------- (A,B)= , {4, 5}, {2, 3, 4} [P^2*x^8-2*P*x^8-2*P^2*x^6+x^8-3*P^2*x^5+4*P*x^6+5*P^2*x^4+4*P*x^5-2*x^6+3*P^2* x^3-9*P*x^4-x^5+2*P^2*x^2-4*P*x^3+4*x^4-4*P^2*x+x^3+P^2+6*P*x-x^2-2*P-2*x+1, (C *x^4-x^4+x^2+x-1)/(C*x^4-x^4+x^2+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a( n-1)+(-330*n^2+2478*n-3492)*a(n-2)+(840*n^2-7764*n+15144)*a(n-3)+(-835*n^2+9241 *n-22662)*a(n-4)+(-12*n^2+708*n-3696)*a(n-5)+(-197*n^2-1099*n+13482)*a(n-6)+( 1296*n^2-15096*n+42576)*a(n-7)+(-373*n^2+7147*n-34122)*a(n-8)+(-468*n^2+5382*n-\ 9588)*a(n-9)+(-83*n^2-1321*n+21414)*a(n-10)+(-24*n^2+6030*n-65772)*a(n-11)+(-\ 158*n^2+4322*n-27612)*a(n-12)+(85*n^2-3103*n+26370)*a(n-13)+(430*n^2-13564*n+ 105600)*a(n-14)+(-96*n^2+3348*n-28536)*a(n-15)-12*(13*n-192)*(n-16)*a(n-16)-6*( 5*n-66)*(n-17)*a(n-17)+28*(n-18)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 29, a(6) = 71, a(7) = 175, a(8) = 435, a(9) = 1091, a(10 ) = 2765, a(11) = 7096, a(12) = 18490, a(13) = 49074, a(14) = 133137, a(15) = 370548, a(16) = 1061415, a(17) = 3136366, a(18) = 9569642}, [1, 2, 5, 12, 29, 71, 175, 435, 1091, 2765, 7096, 18490, 49074, 133137, 370548, 1061415, 3136366, 9569642, 30133754, 97733832, 325511001, 1109370449, 3854839338, 13611156612, 48693734478, 176069952474, 642216237649, 2359333197884, 8719343571261, 32385849961620, 120804727481253, 452291241675856, 1698862934084585, 6399468664543214, 24168191950451890, 91485248050484121, 347035716350447148, 1318975365974635567, 5021952696577984482, 19152463381904972249, 73154735105766502641, 279821761240758443621, 1071771113248576980552, 4110252103589575206647, 15781508530709051568799, 60661476518060565653015, 233418459846954223262664, 899064383845551425522343, 3466229906875727106927448, 13375631159795953698541829], 10755822237788886595260344105368681132388482740828\ 7795626698088341061728390109090235026244520479885943113894393942621760917288254\ 3427913632539987902871993275881151171029339451263094108804829209838470420480492\ 5422928930144128185887911529492722708906766469106688044702982952460763992475630\ 7027364847308326581409453748995940373335418395438788340588657109101258925888034\ 1216238417103990892357358984585996254900485969526575950057026134702450443379735\ 2729081322576472350763050200342934955042930402826950004519675823644416460365181\ 310240952959350789046582488580077289602846351929370297361989808047102082] ---------------------------- (A,B)= , {4, 5}, {2, 3, 5} [P^2*x^9-2*P^2*x^8-2*P*x^9-3*P^2*x^7+4*P*x^8+x^9+7*P^2*x^6+4*P*x^7-2*x^8+3*P^2* x^5-12*P*x^6-x^7-8*P^2*x^4-P*x^5+5*x^6+3*P^2*x^3+12*P*x^4-x^5+6*P^2*x^2-8*P*x^3 -4*x^4-5*P^2*x-6*P*x^2+4*x^3+P^2+8*P*x+x^2-2*P-3*x+1, ((x^5-x^4-x^3+x^2)*C+x^2+ x-1)/((x^5-x^4-2*x^3+x^2)*C+x^2+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n -1)+(-553*n^2+4655*n-6828)*a(n-2)+(1856*n^2-18730*n+38124)*a(n-3)+(-3064*n^2+ 36464*n-93600)*a(n-4)+(1200*n^2-19110*n+61740)*a(n-5)+(3788*n^2-49306*n+161820) *a(n-6)+(-5531*n^2+86209*n-333600)*a(n-7)+(535*n^2-21203*n+135780)*a(n-8)+(4413 *n^2-60333*n+185280)*a(n-9)-14*(n-8)*(205*n-2058)*a(n-10)+(-598*n^2-8902*n+ 173952)*a(n-11)+(623*n^2+8777*n-203196)*a(n-12)+(-195*n^2+3903*n-12876)*a(n-13) +(1148*n^2-42094*n+364800)*a(n-14)+(-749*n^2+27559*n-246204)*a(n-15)+(-786*n^2+ 24888*n-196464)*a(n-16)+(792*n^2-27288*n+234696)*a(n-17)+(52*n^2-1316*n+7008)*a (n-18)-6*(37*n-596)*(n-19)*a(n-19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a( 2) = 2, a(3) = 5, a(4) = 12, a(5) = 29, a(6) = 71, a(7) = 174, a(8) = 429, a(9) = 1062, a(10) = 2643, a(11) = 6618, a(12) = 16697, a(13) = 42527, a(14) = 109619, a(15) = 286849, a(16) = 764837, a(17) = 2086443, a(18) = 5847228, a(19) = 16894801, a(20) = 50450921}, [1, 2, 5, 12, 29, 71, 174, 429, 1062, 2643, 6618 , 16697, 42527, 109619, 286849, 764837, 2086443, 5847228, 16894801, 50450921, 155825264, 497295955, 1635590431, 5523833856, 19078937494, 67127061278, 239737800750, 866526697943, 3162249067870, 11629634275455, 43039357323861, 160109346477228, 598209499601460, 2243340327624450, 8439660958656658, 31839950153541316, 120420819402497322, 456460021880622185, 1733746050248719800, 6597420747795529067, 25148068275435118306, 96011122645311024936, 367093544087760293412, 1405490052903646299707, 5388115447148359104175, 20680939896809847998766, 79468937035246151452641, 305696596598551395953444, 1177130550989536498378524, 4537079381115619005293529], 349178443728131575263290\ 0731009129560169207596387693482412158165691601269403923971168277886941147470244\ 6887579809112120131887178810937080129888548434280126637737183336846384535532344\ 3185866443781587239529513480284851272811553730130609622165112342269364239255661\ 9810835834509431591600721089920306518773978206293090514666120192612982982264840\ 6944024618575190715620952920880738021529162459660741832602599139476289878611683\ 1979338344407744857595969993893417975906537633005926081344659675753917671706733\ 8956475903423080648986241806081177830488146530830239575815021445480480279901565\ 656180457441891536] ---------------------------- (A,B)= , {4, 5}, {2, 4, 5} [4*P^2*x^7-4*P^2*x^6-4*P*x^7-P^2*x^5+6*P*x^6+x^7-2*P^2*x^4+P*x^5-2*x^6+8*P^2*x^ 3+P^2*x^2-12*P*x^3+x^4-4*P^2*x+2*P*x^2+4*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^4-x ^3)*C-x^2-x+1)/((2*x^4-x^3)*C-x^2-2*x+1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a (n-1)+(-408*n^2+3486*n-5100)*a(n-2)+(940*n^2-9800*n+19968)*a(n-3)+(-293*n^2+ 4699*n-12708)*a(n-4)+(-2317*n^2+28385*n-84024)*a(n-5)+(2884*n^2-41192*n+142392) *a(n-6)+(709*n^2-13409*n+58476)*a(n-7)+(-1622*n^2+38098*n-198864)*a(n-8)+(-894* n^2+2736*n+44664)*a(n-9)+(268*n^2-752*n-18984)*a(n-10)+(1200*n^2-16956*n+44688) *a(n-11)+(-482*n^2+3436*n+26592)*a(n-12)+(-164*n^2+4456*n-30648)*a(n-13)+(264*n ^2-6936*n+45408)*a(n-14)+(-400*n^2+11648*n-84768)*a(n-15)+96*(n-16)*(2*n-29)*a( n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 29, a(6) = 71, a(7) = 174, a(8) = 428, a(9) = 1057, a(10) = 2621, a(11) = 6532, a(12) = 16381, a(13 ) = 41407, a(14) = 105736, a(15) = 273552, a(16) = 719562}, [1, 2, 5, 12, 29, 71, 174, 428, 1057, 2621, 6532, 16381, 41407, 105736, 273552, 719562, 1932433, 5322041, 15095079, 44243243, 134252102, 421722758, 1368701459, 4573844959, 15671999102, 54822950471, 195014471242, 703007779322, 2561198413895, 9409712727690, 34804781173268, 129444811561736, 483616484858356, 1813743427337499, 6824492986261638, 25751371602486429, 97413940099271755, 369332173242642911, 1403119326556698822, 5340425398300860169, 20360832625649626323, 77749534678753964780, 297326928327924275668, 1138577023470484732492, 4365607499116815072909, 16758973714920007663891, 64408074784681233437471, 247796931126256160556441, 954309440802369495259727, 3678724908708295718298726], 284521921612844130664191512068419440585908174686194\ 3802156584883456643111707593797222974647246349422428429577301888192907707378619\ 9771142413223915497072275649516407016089095044960303197259327185060467353155311\ 5111058653950986288716179523994333601353838490305353321772782556005984564767880\ 7699743641939309613911321509565604912443193676199872502514949327592297962870201\ 4414744514226375568328209264238986948729093504375113204309454914384162539026351\ 7671264305563941858660660929226687529456209828905053119567421527929185616365272\ 2244942344083420003287029171263937237021276671675882637313149081162257] ---------------------------- (A,B)= , {4, 5}, {3, 4, 5} [P^2*x^9-2*P^2*x^8+P^2*x^7+2*P*x^8+P^2*x^6-2*P*x^7-4*P^2*x^5+x^7+5*P^2*x^4+3*P* x^5-7*P^2*x^3-6*P*x^4+11*P^2*x^2+6*P*x^3+2*x^4-6*P^2*x-14*P*x^2-x^3+P^2+10*P*x+ 4*x^2-2*P-4*x+1, (-C*x^4-2*x+1)/((x^5-x^4)*C+x^2-3*x+1), {5*n*(n-5)*a(n)+(-92*n ^2+616*n-504)*a(n-1)+(706*n^2-5888*n+8652)*a(n-2)+(-2939*n^2+29209*n-59400)*a(n -3)+(7265*n^2-83419*n+212052)*a(n-4)+(-11155*n^2+144071*n-432300)*a(n-5)+(11398 *n^2-160544*n+543744)*a(n-6)+(-9170*n^2+136672*n-502032)*a(n-7)+(6620*n^2-\ 105328*n+417768)*a(n-8)+(-3513*n^2+64707*n-297648)*a(n-9)+(857*n^2-30757*n+ 217740)*a(n-10)+(439*n^2+14167*n-196620)*a(n-11)+(-618*n^2-6246*n+147852)*a(n-\ 12)+(232*n^2+4510*n-87612)*a(n-13)+(87*n^2-6471*n+70296)*a(n-14)+(-86*n^2+3988* n-39180)*a(n-15)+(-54*n^2+1386*n-8616)*a(n-16)+(149*n^2-4657*n+36288)*a(n-17)+( -126*n^2+4098*n-33192)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 13, a(5) = 34, a(6) = 90, a(7) = 240, a(8) = 643, a(9) = 1729, a(10) = 4666, a(11) = 12641, a(12) = 34397, a(13) = 94074, a(14) = 258843 , a(15) = 717362, a(16) = 2005443, a(17) = 5665089, a(18) = 16202853, a(19) = 47022847}, [1, 2, 5, 13, 34, 90, 240, 643, 1729, 4666, 12641, 34397, 94074, 258843, 717362, 2005443, 5665089, 16202853, 47022847, 138781231, 417424758, 1281819504, 4023560619, 12916571991, 42394365024, 142114481047, 485762253748, 1689600027653, 5967161506675, 21351819795928, 77252389817333, 282114154381686, 1038271515787452, 3846064096360586, 14324757180413882, 53598738378981171, 201335925555047255, 758836931816669061, 2868426946632648402, 10870558927981139964, 41290140105892799210, 157153368844107630344, 599236470500748585852, 2288750222256394603130, 8755152456085604746888, 33538415695741517604303, 128644235745740376046665, 494046962878469590349843, 1899512131633485883396904, 7311079529201389142186379], 539483573675009725173792\ 6577201024425257564174184238372759744505720846110650521794864324205873260326348\ 0197580091270709201848852594969568184111716515765524015256468528247831539200504\ 3165861194992036832746069155060351712483347865639692264237718034130988432034005\ 6102629839102428980622950552984430619031271374398156954848742941324657089709212\ 5200874763533986754804347788474966710356119613725284971593120679167512369623665\ 0407667507933106540915785489779324985983078368877573828678656785315245434633783\ 0459360337754348741739147190505304031896000672037363693188860258534620042597142\ 629481025566384265] ---------------------------- (A,B)= , {4, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^8-P^2*x^7+5*P^2*x^5+2*P^2*x^4-2*P*x^5+P*x^4-P^2*x^2+2*P*x^3-2 *P^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^5-x^5+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+3* (15*n-14)*(n-5)*a(n-1)+(-166*n^2+1288*n-1800)*a(n-2)+(194*n^2-1868*n+3612)*a(n-\ 3)+2*(20*n-59)*(n-6)*a(n-4)+(-21*n^2+477*n-1722)*a(n-5)+(-87*n^2+1803*n-7050)*a (n-6)+(-410*n^2+3428*n-5016)*a(n-7)+(212*n^2-2492*n+6036)*a(n-8)+(212*n^2-3146* n+10764)*a(n-9)+(265*n^2-3229*n+10338)*a(n-10)+(-65*n^2+905*n-2358)*a(n-11)+(-\ 140*n^2+1166*n-588)*a(n-12)+(-7*n^2+361*n-2346)*a(n-13)+2*(13*n-46)*(n-9)*a(n-\ 14)+(8*n^2-44*n-384)*a(n-15)-2*(n-10)*(n-12)*a(n-16)+4*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 13, a(6) = 25, a(7) = 48, a (8) = 95, a(9) = 195, a(10) = 419, a(11) = 958, a(12) = 2359, a(13) = 6288, a( 14) = 18075, a(15) = 55401, a(16) = 178515, a(17) = 596833}, [1, 2, 4, 7, 13, 25, 48, 95, 195, 419, 958, 2359, 6288, 18075, 55401, 178515, 596833, 2049192, 7172560, 25465709, 91405100, 330927342, 1206590433, 4425512968, 16314785501, 60413563235, 224595872031, 837921230172, 3136091908839, 11771493374735, 44301919458958, 167134896272251, 631949710329086, 2394394084773659, 9089533874365850, 34567070003698924, 131675983938112851, 502373638555953244, 1919468867670431436, 7343969507434389133, 28134632942090915745, 107914623706583133161, 414399051402185355913, 1593051230617569446971, 6130396077565020394616, 23614149214336666164176, 91045804428064347443731, 351343459755623050779598, 1356969059644812348600095, 5245142038635305304165178] , 44813483640536938904727490172309358335690982077659451734154351639205772145954\ 4453317687522380296450507353093404641118470257476218264076772473350803098817085\ 9579107593748033860457663724026917811350964227069588294100613102884936199465736\ 2621875274961741243764646976520258541770972778473541101736699157011158008805656\ 7821366232549787192504193153417045850882778711630626391799830678297141186125979\ 0581457860437624109207519381110321658203887940684993349485063194367079977063942\ 8185781685968391434036947206654032414368224130978780525140919736796611434850673\ 49085988165769465605941712927675051860298046] ---------------------------- (A,B)= , {4, 5}, {1, 2, 3, 5} [P^2*x^11-2*P^2*x^10-P^2*x^9+P^2*x^8+5*P^2*x^7-2*P*x^7-3*P^2*x^5+2*P*x^6+P^2*x^ 4+3*P*x^5+2*P^2*x^3+P^2*x^2-2*P*x^3-3*P^2*x+x^3+P^2+4*P*x-2*P-x+1, (C*x^2-1)/(( x^6-x^5-x^4-x^3+x^2)*C+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n-1) +(-311*n^2+2671*n-3888)*a(n-2)+(650*n^2-6700*n+13584)*a(n-3)+(-469*n^2+5843*n-\ 15312)*a(n-4)+(-199*n^2+2477*n-7344)*a(n-5)+(112*n^2-3320*n+16440)*a(n-6)+(613* n^2-6875*n+16872)*a(n-7)+(-329*n^2+6871*n-32160)*a(n-8)+(-717*n^2+6021*n-168)*a (n-9)+(576*n^2-7314*n+15552)*a(n-10)+(295*n^2-4289*n+14448)*a(n-11)+(4*n^2+2374 *n-16800)*a(n-12)+(-428*n^2+4000*n-1200)*a(n-13)+(170*n^2-2116*n+3936)*a(n-14)+ (12*n^2+708*n-9864)*a(n-15)+(46*n^2-1994*n+18192)*a(n-16)+(2*n^2-262*n+3168)*a( n-17)+8*(5*n-54)*(n-14)*a(n-18)-2*(5*n-72)*(7*n-107)*a(n-19)+12*(n-16)*(2*n-29) *a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 13, a(6) = 25, a(7 ) = 47, a(8) = 91, a(9) = 179, a(10) = 361, a(11) = 756, a(12) = 1666, a(13) = 3918, a(14) = 9945, a(15) = 27316, a(16) = 80663, a(17) = 252825, a(18) = 829174, a(19) = 2810332, a(20) = 9751940}, [1, 2, 4, 7, 13, 25, 47, 91, 179, 361, 756, 1666, 3918, 9945, 27316, 80663, 252825, 829174, 2810332, 9751940, 34420323, 123035305, 444089176, 1615407833, 5913889055, 21767933065, 80500062362, 298926261546, 1114099750822, 4165958380306, 15624334000959, 58758242004974, 221522332199671, 837068811585311, 3169740225270891, 12026457158942008, 45713376328227524, 174055098261087133, 663773280446472586, 2535121268336484426, 9695810792658206548, 37131285609873507871, 142374919168461878138, 546555940686921510393, 2100466796416046919709, 8080751474318816103637, 31118527350237244855368, 119948847707152745608472, 462767529427202371631506, 1786902550780502599123093], 1464265018165655561366133\ 0334436035539222134752214022552306836712262511912626458532878312306682296376774\ 8604014848052302595191901593301370668899483403601733107335484209254359683460422\ 9901653740521742360954779202218758251336203045494196115332369715033025250058128\ 6331712913777344353373032578206440146429163388904299324778302724594132451553101\ 0667450406791777991668865771657544641377298830568969666423512623139752773933027\ 4059184379363162539646390791112615091699559119651741898682067526124629611006781\ 7166159329959724342931858274354952571930761973409919914624055826627209678304987\ 95631090068869273] ---------------------------- (A,B)= , {4, 5}, {1, 2, 4, 5} [P^2*x^9+2*P^2*x^8-2*P^2*x^7-3*P^2*x^6+2*P*x^7+2*P^2*x^5+2*P*x^6+4*P^2*x^4-3*P* x^5+2*P^2*x^3-2*P*x^4+x^5-2*P^2*x^2-2*P^2*x+4*P*x^2+P^2+2*P*x-x^2-2*P+1, (-C*x^ 3+1)/((x^5+x^4-x^3)*C-x^3-x^2-x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-6)*a(n-1)+18 *(11*n-20)*(n-7)*a(n-2)+(-150*n^2+1722*n-3456)*a(n-3)+(-375*n^2+4119*n-10152)*a (n-4)+(310*n^2-4598*n+14808)*a(n-5)+(581*n^2-7609*n+23376)*a(n-6)+(42*n^2+1422* n-10968)*a(n-7)+(-816*n^2+11820*n-41400)*a(n-8)+(-457*n^2+4853*n-9264)*a(n-9)+( 607*n^2-8243*n+24864)*a(n-10)+(344*n^2-4636*n+12912)*a(n-11)+(-248*n^2+3508*n-\ 9984)*a(n-12)+(-115*n^2+1055*n+3000)*a(n-13)+(84*n^2-2340*n+16536)*a(n-14)+(-22 *n^2+986*n-9312)*a(n-15)-4*(n-14)*(13*n-222)*a(n-16)+6*(7*n-103)*(n-16)*a(n-17) +12*(n-16)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 13, a(6) = 25, a(7) = 47, a(8) = 90, a(9) = 176, a(10) = 350, a(11) = 719, a(12 ) = 1547, a(13) = 3535, a(14) = 8705, a(15) = 23261, a(16) = 67207, a(17) = 207493, a(18) = 674203}, [1, 2, 4, 7, 13, 25, 47, 90, 176, 350, 719, 1547, 3535 , 8705, 23261, 67207, 207493, 674203, 2273335, 7868552, 27744403, 99152310, 357961032, 1302635620, 4771123376, 17570214729, 65007272682, 241503762463, 900460320096, 3368392441311, 12637578446148, 47541634270329, 179289660026158, 677675507325521, 2566838987871975, 9741352561627885, 37036033310748708, 141046140111203599, 537999373866038537, 2055147800255504203, 7861510471585673264, 30111682649730369945, 115477584642628691453, 443367947422643364250, 1704149010056842867952, 6556958350243079797787, 25253741495649905978821, 97354514398518884346066, 375641620308348034478110, 1450641748730126854914200], 119413087342311469850533832752529634833267904772513\ 7352664695803700284745292920416182183631091626568731322069266807153330511358147\ 3436504400325663961298993689331529371086925683452955750983474001533860465779466\ 8672396721259773211039520431804068962948786153777049225081180561016241093243742\ 3571764222415104133487249434985521132607861115816297306453662450089456535041125\ 8589414238059112937402981460447796891827240297091119576264511854390258856148125\ 5172995667592756964791853961360216654791378740036029092322476540557975836139954\ 5048993996948423155697080926556411801623888252037402201888093547759559] ---------------------------- (A,B)= , {4, 5}, {1, 3, 4, 5} [P^2*x^9-2*P^2*x^8+P^2*x^7+2*P*x^8-2*P*x^7-2*P^2*x^5+x^7+3*P^2*x^4+P*x^5-P^2*x^ 3-4*P*x^4+4*P^2*x^2+2*P*x^3+x^4-4*P^2*x-4*P*x^2-x^3+P^2+6*P*x+x^2-2*P-2*x+1, (- C*x^4-x+1)/((x^5-x^4)*C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(432 *n^2-3660*n+5352)*a(n-2)+(-1275*n^2+12861*n-26112)*a(n-3)+(2065*n^2-24029*n+ 61392)*a(n-4)+(-2036*n^2+26272*n-79392)*a(n-5)+(1783*n^2-23903*n+78972)*a(n-6)+ (-1771*n^2+25085*n-88416)*a(n-7)+(1169*n^2-19009*n+76872)*a(n-8)+(-322*n^2+9728 *n-60372)*a(n-9)+(-151*n^2-6781*n+79092)*a(n-10)+(391*n^2+3217*n-75000)*a(n-11) +(-325*n^2+155*n+37296)*a(n-12)+(89*n^2+1181*n-26724)*a(n-13)+(48*n^2-3468*n+ 37752)*a(n-14)+(-2*n^2+844*n-11412)*a(n-15)+(-86*n^2+2530*n-18576)*a(n-16)+(149 *n^2-4657*n+36288)*a(n-17)+(-126*n^2+4098*n-33192)*a(n-18)+20*(2*n-31)*(n-18)*a (n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 146, a(9) = 313, a(10) = 683, a(11) = 1525, a(12) = 3509, a(13) = 8392, a(14) = 21045, a(15) = 55733, a(16) = 156373, a(17) = 464030, a(18) = 1447550, a(19) = 4707102}, [1, 2, 4, 8, 16, 33, 69, 146, 313, 683, 1525, 3509, 8392, 21045, 55733, 156373, 464030, 1447550, 4707102, 15816126, 54491377, 191329151, 681519854, 2454651698, 8918601975, 32634160651, 120113402690, 444289652158, 1650454107121, 6154256738934, 23025091752953, 86403814265822, 325122663080968, 1226422813077974, 4636843172116794, 17567747353831497, 66688817580275585, 253613798809487152, 966099610905227591, 3685971212269404925, 14083792159839152129, 53887208905567717799, 206449850800886025617, 791906317947076595823, 3041121211254324384997, 11691416863078477913122, 44993424996500797764195, 173323086455262384442424, 668294585309543197504927, 2579074772614744368390727], 207088555755686293678876617908722210458932488840841\ 3070067832601077208815763975903574661545158093995561676978171133666579607928947\ 6754490130681927422531617036887204603716061095264152508629691636044005816184541\ 1366622576231368689376541594464652179844323838144888013435804085574259152626846\ 6878074874392089385196667999029862995019951892846205375451717322690271140751643\ 0809208902921904300403093211305952658235345193865366369386337692186814204805297\ 7513649121808798824999374563331590199138074365361360337710392354464544119793870\ 1878547711216264887699045091942967618570937218625510422370000329297653] ---------------------------- (A,B)= , {4, 5}, {2, 3, 4, 5} [P^2*x^9-2*P*x^9+x^9+P^2*x^6+2*P^2*x^5-2*P*x^6-3*P*x^5+x^6+4*P^2*x^3+x^5+2*P^2* x^2-6*P*x^3-4*P^2*x+2*x^3+P^2+6*P*x-x^2-2*P-2*x+1, (C*x^5+x^2+x-1)/(C*x^5+x^2+2 *x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-416*n^2+3544*n-5184)*a(n-2) +(1058*n^2-10864*n+22080)*a(n-3)+(-950*n^2+11746*n-30168)*a(n-4)+(-686*n^2+8110 *n-24288)*a(n-5)+(1535*n^2-21979*n+76944)*a(n-6)+(-384*n^2+5094*n-17592)*a(n-7) +(-162*n^2+3354*n-16248)*a(n-8)+(265*n^2-3083*n+5712)*a(n-9)+(-234*n^2+6030*n-\ 36840)*a(n-10)+(-86*n^2-3362*n+48624)*a(n-11)+(-90*n^2+7896*n-85104)*a(n-12)+( 44*n^2-862*n+6120)*a(n-13)+(120*n^2-6432*n+67368)*a(n-14)+(-52*n^2+1832*n-15792 )*a(n-15)+(64*n^2-2618*n+25560)*a(n-16)+8*(n-17)*(8*n-147)*a(n-17)+4*(n-14)*(n-\ 18)*a(n-18)-6*(5*n-76)*(n-19)*a(n-19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 5, a(4) = 12, a(5) = 29, a(6) = 71, a(7) = 174, a(8) = 428, a( 9) = 1056, a(10) = 2615, a(11) = 6505, a(12) = 16274, a(13) = 41013, a(14) = 104345, a(15) = 268763, a(16) = 703307, a(17) = 1877627, a(18) = 5137498, a(19) = 14472092, a(20) = 42128928}, [1, 2, 5, 12, 29, 71, 174, 428, 1056, 2615, 6505 , 16274, 41013, 104345, 268763, 703307, 1877627, 5137498, 14472092, 42128928, 127024730, 396810792, 1282065818, 4269831023, 14595779223, 50981255979, 181194624586, 652940018614, 2378641558226, 8740223430457, 32336841830399, 120305054728961, 449627847956385, 1686877047882093, 6349364423676007, 23966583607490765, 90691133539002648, 343946034731173275, 1307039545661816826, 4976027678441576420, 18976130141731893692, 72478306934724155670, 277227390986239040689, 1061817917805108495114, 4072045971752882616357, 15634746550637405054812, 60097264489415407761791, 231247570752826870377478, 890704407780737499820445, 3434008665261178714946180], 2668873500483314723835981\ 7502107783637100829584130495999772733792478852362938906488372676293938656122040\ 5807934459178694222140884192945768582882299093597638569953030448792802034838442\ 6830862804647561948205355767595402041293357693564762109276650155350899073675904\ 0278851410176402730993620107538855346643189068152788150650802824730057276906860\ 2144594895494868297616820910734101337067705187977826466703236671309064028214728\ 3228900376700933737261145994162487712858063444271401838945454911361699584000290\ 4424060111921062736629940731610824205225338522790292040506087039023331981055412\ 05325490516728937] ---------------------------- (A,B)= , {4, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^8+P^2*x^7+2*P^2*x^6+P^2*x^5+3*P^2*x^4+P*x^5-P^2*x^2+2*P*x^3-2*P ^2*x+2*P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^6+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-\ 13)*(n-6)*a(n-1)+(-206*n^2+1804*n-2604)*a(n-2)+(240*n^2-2550*n+5112)*a(n-3)+(46 *n^2-488*n+1068)*a(n-4)+(49*n^2+n-1200)*a(n-5)+(-440*n^2+5248*n-14496)*a(n-6)+( 78*n^2-648*n+540)*a(n-7)+(-42*n^2-138*n+2796)*a(n-8)+(177*n^2-3045*n+12756)*a(n -9)+(42*n^2-1248*n+6480)*a(n-10)+(172*n^2-2882*n+11868)*a(n-11)+(126*n^2-1704*n +6024)*a(n-12)+(-72*n^2+240*n+2448)*a(n-13)+(51*n^2-657*n+1932)*a(n-14)+(42*n^2 -672*n+2616)*a(n-15)+20*(n-8)*(2*n-21)*a(n-16)-(n-12)*(n-11)*a(n-17)+2*(n-12)*( 2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 7, a(5) = 13, a(6) = 25, a(7) = 47, a(8) = 90, a(9) = 175, a(10) = 346, a(11) = 705, a(12) = 1500, a (13) = 3385, a(14) = 8231, a(15) = 21754, a(16) = 62360, a(17) = 191649, a(18) = 621494}, [1, 2, 4, 7, 13, 25, 47, 90, 175, 346, 705, 1500, 3385, 8231, 21754, 62360, 191649, 621494, 2094979, 7255536, 25608119, 91617903, 331113372, 1206121378, 4421528093, 16295586857, 60333381695, 224279145271, 836700505970, 3131438946861, 11753841522730, 44235059815661, 166881655910632, 630989787668266 , 2390751264723197, 9075691519164195, 34514398196645791, 131475286037105937, 501607880608957992, 1916543330590968108, 7332778645177121749, 28091773872565458913, 107750292312828807391, 413768275869401980287, 1590627500080246899022, 6121073657464421665321, 23578257971642863148805, 90907497008614461520445, 350810023805417557871661, 1354909935514167951271952], 1120393628380249755933177010780002704999544992126338607952694739825706582811410\ 3829262640991248785274026291096814361003347667496587336357283592153513711618386\ 5981109382739547700650364875417883897216484110042548594221224742131640986501487\ 7164251961570258313899818206429990060792342916887670075057332473243702576525361\ 8348409613523608906185669923639654467927070682428569485955024483865106621078798\ 6949587058462375762992105649644089952726919568625528995475482849807295453937613\ 1703820939164236609443156943837733456238703346077627447269843575211416131611577\ 605341673869784480036381064886226723449173] ---------------------------- (A,B)= , {1, 2, 3}, {} [P^2*x^5+2*P^2*x^4+3*P^2*x^3-2*P*x^4+4*P^2*x^2-4*P*x^3+2*P^2*x-6*P*x^2+x^3+P^2-\ 5*P*x+2*x^2-2*P+3*x+1, ((x^2+x)*C-x^2-x-1)/((x^3+x^2+x)*C-x^3-x^2-x-1), {-(n-1) *n*a(n)+8*(n-1)*(n-3)*a(n-1)+(12*n-24)*a(n-2)-(n-3)*(29*n-224)*a(n-3)+(-105*n^2 +813*n-1560)*a(n-4)+(-141*n^2+1017*n-1584)*a(n-5)+(-36*n^2-330*n+3168)*a(n-6)+( 97*n^2-2113*n+9480)*a(n-7)+(202*n^2-3544*n+15000)*a(n-8)+9*(n-8)*(19*n-159)*a(n -9)+2*(53*n-404)*(n-9)*a(n-10)+20*(2*n-15)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 19, a(8) = 62, a(9) = 206, a( 10) = 699, a(11) = 2410}, [0, 0, 0, 1, 2, 6, 19, 62, 206, 699, 2410, 8419, 29737, 106028, 381120, 1379629, 5025130, 18403741, 67729633, 250348702, 929006142, 3459691817, 12925949705, 48436451499, 181995475395, 685541151647, 2588261250854, 9792880684968, 37125693685422, 141007180108393, 536484375984635, 2044437926012406, 7802756874882566, 29822206241377329, 114133400719843307, 437354784891877689, 1677925751844263131, 6444680371087249329, 24779587212713494172, 95373346651194327662, 367433082174891016440, 1416861443189773520987, 5468339481808689805627, 21122479648488195065222, 81654338140303905384245, 315895350304455594583367, 1222988821554849524222099, 4738093354005955167179848, 18368514556117275665597585, 71256084210497229810860062], 70965745696086925867649622977259641988548541670645\ 7688708619315950806920799985743192814264046223550743045028990151851571758505951\ 9551908933194727858267245788813137658132525420211445547910995450172993668095177\ 5288792268415978906012318086289066805923641596799099797361386888525282163827667\ 4309583308782662414103075238021449684926258155014122583124298925565069387502231\ 8193447909779942968080926331158494926417665244181818123361986602053825771321159\ 3671765309721930627812815258065943342499684809743297143361033036201780415905885\ 108828299054754628362317446666523812133333226604521449451310283456392423] ---------------------------- (A,B)= , {1, 2, 3}, {1} [P^2*x^5+2*P^2*x^3+2*P^2*x^2-2*P*x^3-2*P*x^2+2*P^2-P*x-4*P+x+2, (C*x-x-1)/((x^3 +x)*C-x^3-x-1), {-2*(n-1)*n*a(n)+4*(n-1)*(5*n-12)*a(n-1)-12*(n-2)*(4*n-13)*a(n-\ 2)+2*(5*n+16)*(n-3)*a(n-3)+(-32*n^2+260*n-504)*a(n-4)+(-31*n^2-29*n+792)*a(n-5) +(-4*n^2+112*n-360)*a(n-6)+(-5*n^2-145*n+852)*a(n-7)+(20*n^2-314*n+1176)*a(n-8) -3*(n-5)*(n-8)*a(n-9)+6*(2*n-13)*(n-8)*a(n-10) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 18, a(8) = 58, a(9) = 190, a(10) = 638} , [0, 0, 0, 1, 2, 6, 18, 58, 190, 638, 2180, 7561, 26546, 94170, 337024, 1215414, 4412448, 16113124, 59147448, 218125266, 807763316, 3002581272, 11199188366, 41901363508, 157218974554, 591447640130, 2230351572028, 8429410327209, 31924025564090, 121135604488666, 460471948614320, 1753318445207382, 6686495761346864, 25537280031920352, 97667683197322976, 374018009307291006, 1434061125001803612, 5504870252544939332, 21154554387985816388, 81379166174357946268, 313366252219803498972, 1207812770013401389948, 4659461442298515152104, 17990458656525024182506, 69518775807143580315164, 268843456571564905459924, 1040445786189948731434216, 4029472392666728951672020, 15616102406505747294229352, 60559271554324433265732132], 59444243883726670717756076551350358196942793887782\ 8363708784637148225170593491456541128771697796860308897743874958169550122478862\ 8743402264576647298644393077103151627504371566010738014658442964232604296192981\ 5909950157035691628070049088544980969627290958030959120644663714206874023267211\ 7402514196476064293411761746562296869913191526770350508741051829818121807623600\ 2878560612272787514234151952390010217448477750227975112599448500657158787315155\ 8411193484775541525886510211172001707632594681688415394605486392807711622679987\ 738004298700502219271798356856923135998710051256549735558709277570812112] ---------------------------- (A,B)= , {1, 2, 3}, {2} [P^2*x^6+2*P^2*x^5+P^2*x^4-2*P*x^5+2*P^2*x^3-2*P*x^4+P^2*x^2-2*P*x^3+x^4-P^2*x-\ 3*P*x^2+P^2+2*P*x+2*x^2-2*P-x+1, (C*x^2-x^2-1)/((x^3+x^2)*C-x^3-x^2-1), {-2*n*( n-2)*a(n)+3*(n-1)*(7*n-22)*a(n-1)-(n-2)*(71*n-279)*a(n-2)+3*(n-3)*(31*n-134)*a( n-3)+(-58*n^2+644*n-1632)*a(n-4)+(-44*n^2+172*n+144)*a(n-5)+(31*n^2-245*n+582)* a(n-6)+(-50*n^2-74*n+2772)*a(n-7)+(-54*n^2+930*n-4740)*a(n-8)+(37*n^2-725*n+ 3870)*a(n-9)+(60*n^2-1440*n+8136)*a(n-10)+(41*n^2-853*n+4470)*a(n-11)+(82*n^2-\ 1742*n+9180)*a(n-12)+20*(2*n-19)*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 15, a(8) = 47, a(9) = 150, a(10) = 492, a(11) = 1651, a(12) = 5639, a(13) = 19541}, [0, 0, 0, 1, 2, 5, 15, 47, 150, 492 , 1651, 5639, 19541, 68547, 242955, 868793, 3130714, 11357588, 41447368, 152049892, 560414793, 2074245546, 7706558131, 28731447803, 107453000275, 403020924836, 1515593712263, 5713394378718, 21586489434923, 81728800174494, 310034385170285, 1178227220049233, 4485192864717642, 17100917740131690, 65298256837409584, 249683058989521423, 955975327131592830, 3664731718684937294, 14065203374252364504, 54041944835521511633, 207860501108957928681, 800287155822969844053, 3084119165180707169004, 11896192515475008423674, 45925919356398552209353, 177444917612771073895323, 686134178840483593140871, 2655090558590504095474827, 10281592832505122468363925, 39841814724583654886299143], 37788770311389733733816362380410000651722143799303\ 0153786807598410982868313550898270595114117598487439190177126720912705036502806\ 1647206236516980908875008173845092152165892906172754807414718103466715697575915\ 6040093565423681036113060220870424978144376918651244103946053943227179864586705\ 3617104082593870962507128784489241490317927631937147453985110239272323871600190\ 3378345736985300234675847351901495588381003819254378668018885614905466925710683\ 8294126163468595935011644724781764009208754882661765353098166478310021180836711\ 403684718254285536573907438872593166874870409212661974482553420284694387] ---------------------------- (A,B)= , {1, 2, 3}, {3} [P^2*x^7+2*P^2*x^6+3*P^2*x^5-2*P*x^6+2*P^2*x^4-4*P*x^5-4*P*x^4+x^5-P^2*x^2-P*x^ 3+2*x^4-P^2*x+2*P*x^2+x^3+P^2+2*P*x-x^2-2*P-x+1, (-1+(x^3+x^2)*C)/(-1+(x^4+x^3+ x^2)*C), {-3*n*(n-3)*a(n)+(n-1)*(31*n-128)*a(n-1)-2*(n-2)*(49*n-253)*a(n-2)+3*( n-3)*(25*n-164)*a(n-3)+(64*n^2-606*n+1412)*a(n-4)+(-22*n^2+600*n-2528)*a(n-5)+( -92*n^2+1050*n-2788)*a(n-6)+(-59*n^2-177*n+3968)*a(n-7)+(49*n^2-1323*n+7292)*a( n-8)+(-22*n^2+828*n-6908)*a(n-9)+(-10*n^2+948*n-7616)*a(n-10)+(28*n^2-546*n+ 2972)*a(n-11)+(128*n^2-3174*n+19528)*a(n-12)+(163*n^2-4011*n+24620)*a(n-13)+2*( 53*n-616)*(n-13)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a( 3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 8, a(8) = 23, a(9) = 68, a(10) = 212, a(11) = 681, a(12) = 2246, a(13) = 7565, a(14) = 25925, a(15) = 90119}, [0 , 0, 0, 1, 1, 3, 8, 23, 68, 212, 681, 2246, 7565, 25925, 90119, 317029, 1126606 , 4038357, 14584419, 53016616, 193835363, 712309970, 2629554373, 9746994954, 36262888578, 135365703492, 506851479722, 1903120222208, 7164179922648, 27033009600009, 102228667596631, 387375839767856, 1470659934840999, 5593150625809059, 21306658755816174, 81291206377225160, 310599057811505607, 1188359044935188073, 4552522132555485563, 17461520213142769169, 67051568467427868995, 257754547132762180103, 991858876608249077769, 3820472542045869489912, 14729468909407686497005, 56838232001131350955065, 219512634063861605909764, 848451903281340211510537, 3281920563677147648874634, 12704203503800475500972753], 11514755491768666453308064151042077203862353355160\ 5370805460638135702580474240086922540583428504321670590219525638312484093418260\ 0379628254835969466055967096138330455249056542624394735582380735464394328213441\ 2024957060987647586295881157586934418185354131288462288604607814373451746573708\ 0891942307338332068324518862601189512062148849314734676426476391757976481272931\ 5986658533763587128175042772770300405120198738806675490313149731518715882786081\ 4323196396966765897715846572390963938391513714383336165310440390341332403968894\ 306329990502126491852733028130574908501540169478901609462022029662929073] ---------------------------- (A,B)= , {1, 2, 3}, {4} [P^2*x^9+4*P^2*x^8+7*P^2*x^7-2*P*x^8+10*P^2*x^6-8*P*x^7+11*P^2*x^5-14*P*x^6+x^7 +5*P^2*x^4-18*P*x^5+4*x^6+2*P^2*x^3-13*P*x^4+7*x^5-P^2*x^2-4*P*x^3+8*x^4-3*P^2* x+2*P*x^2+2*x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((x^4+x^3+x^2)*C+x^3+x^2+x-1)/((x^5+x^ 4+x^3+x^2)*C+x^4+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)-3*(n-2 )*(91*n-529)*a(n-2)+(n-3)*(541*n-3706)*a(n-3)-2*(n-4)*(85*n-846)*a(n-4)+(-479*n ^2+6197*n-18990)*a(n-5)+(-85*n^2+1849*n-8190)*a(n-6)+(-78*n^2-4080*n+33024)*a(n -7)+(899*n^2-16001*n+69294)*a(n-8)+(850*n^2-10252*n+23064)*a(n-9)+(-105*n^2+ 10971*n-101682)*a(n-10)+(-608*n^2+20198*n-141828)*a(n-11)+(-244*n^2+4084*n-6768 )*a(n-12)+(858*n^2-28818*n+227724)*a(n-13)+(2058*n^2-62166*n+462636)*a(n-14)+( 2356*n^2-69976*n+518304)*a(n-15)+(1792*n^2-53212*n+394896)*a(n-16)+12*(83*n-\ 1186)*(n-16)*a(n-17)+6*(59*n-846)*(n-17)*a(n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0 , a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 14, a(8) = 40, a(9) = 116, a(10) = 345, a(11) = 1051, a(12) = 3273, a(13) = 10406, a(14) = 33730, a(15) = 111295, a(16) = 373227, a(17) = 1270066, a(18) = 4379036, a(19) = 15276135}, [0, 0, 0, 1, 2, 5, 14, 40, 116, 345, 1051, 3273, 10406, 33730, 111295, 373227, 1270066, 4379036, 15276135, 53847489, 191568416, 687122690, 2482537978, 9027303027, 33015289547, 121367302661, 448216015477, 1662157078852, 6187024653240, 23108149855456, 86574431436139, 325266412405365, 1225213649823498, 4626125127794979, 17505561327450365, 66376879526443508, 252160104123621230, 959616919099434518, 3657887554215099391, 13964573909262848063, 53388563024075475438, 204387409018106220790, 783449393597346953134, 3006679899849998677903, 11551916977993485984236, 44430897820165643988926, 171062943268767406837185, 659240919832204577291111, 2542898238304623350615908, 9817280143474253407137393], 802067845973083578481893\ 2882377382807673370972114154920486124035749441865817640345157407517558316420460\ 7428979306240922322952370418645074456102286243955166934723920727939587214554608\ 9932562802008414269599316424815512869203445071234030680360766836473832735918919\ 0959407245543929295398057400413782958916945492174675091548125893951445768728855\ 9410663335821252793561421708576074936943079804169565225325614698125163013236074\ 9684058738048674050610500493033535413825462708808502184356091042327644277504666\ 8681763711265237526737722340844663590288051401397447585288112080370822939401266\ 330990149131356544] ---------------------------- (A,B)= , {1, 2, 3}, {5} [P^2*x^8+2*P^2*x^7+3*P^2*x^6-2*P*x^7+7*P^2*x^5-4*P*x^6+4*P^2*x^4-9*P*x^5+x^6+4* P^2*x^3-10*P*x^4+2*x^5+4*P^2*x^2-8*P*x^3+6*x^4-5*P^2*x-8*P*x^2+4*x^3+P^2+10*P*x +4*x^2-2*P-5*x+1, (C*x^2+x^3+x^2+2*x-1)/(x^4+C*x^2+x^3+x^2+2*x-1), {-5*n*(n-5)* a(n)+3*(n-1)*(29*n-168)*a(n-1)-12*(n-2)*(50*n-329)*a(n-2)+6*(n-3)*(339*n-2504)* a(n-3)+(-3289*n^2+40349*n-108792)*a(n-4)+(1632*n^2-23820*n+78576)*a(n-5)+(976*n ^2-13502*n+44484)*a(n-6)+(-459*n^2+1569*n+14652)*a(n-7)+(1229*n^2-12061*n+14928 )*a(n-8)+(-1255*n^2+25607*n-128616)*a(n-9)+(-1331*n^2+29551*n-163536)*a(n-10)+( -1031*n^2+22657*n-117804)*a(n-11)+(-922*n^2+18140*n-88212)*a(n-12)-4*(89*n-628) *(n-12)*a(n-13)+(-27*n^2-675*n+13548)*a(n-14)+(30*n^2-1158*n+10296)*a(n-15)+10* (n-15)*(5*n-76)*a(n-16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3 ) = 0, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 18, a(8) = 55, a(9) = 169, a(10) = 526, a(11) = 1654, a(12) = 5253, a(13) = 16845, a(14) = 54533, a(15) = 178202, a(16) = 587733, a(17) = 1956177}, [0, 0, 0, 1, 2, 6, 18, 55, 169, 526, 1654, 5253, 16845, 54533, 178202, 587733, 1956177, 6569517, 22257611, 76058831, 262081132, 910352119, 3186606271, 11236689812, 39900274301, 142617069961, 512924251787, 1855450164930, 6748244621237, 24666865752593, 90586118714076, 334106346276686, 1237208307623716, 4598379638478536, 17149400699872627, 64159757464275972, 240736884020501800, 905719717473671843, 3416091467838512381, 12914286478732426094, 48926525139304557163, 185731498784630233729, 706372968314265295585, 2691134029794868429613, 10269271095677907237260, 39246562095026492584384, 150203471960286568533947, 575621348220029124313245, 2208705553065051659885894, 8484985578622343134016648], 592082564863526073250229\ 5725021623982592784727046014967716881554700223804406549778186384996271098831102\ 8186237072170817925898572604551363009845900866675966835920946315913789380365246\ 3295468138249332647278739682220774404953849707134978786182070066289738472071904\ 5594308112899772229829546397527305761496548511031667011629483759830907770351291\ 9752666262338918674325954217301322147672593668259306672018782600071775112267256\ 4251434361354509367709747216070961151521701284551130738708819123309897446226123\ 7454568419202761712268010796774585527538716981444535070480128381174291834395558\ 752894520199830198] ---------------------------- (A,B)= , {1, 2, 3}, {1, 2} [P^2*x^6+2*P^2*x^3-P^2*x^2-2*P*x^3+P*x^2+P^2-2*P+1, -1/(C*x^3-x^3-1), {-n*(n-2) *a(n)+3*(n-1)*(3*n-10)*a(n-1)-(n-2)*(19*n-90)*a(n-2)-(11*n-10)*(n-3)*a(n-3)+(37 *n^2-194*n+192)*a(n-4)+(-36*n^2+198*n-120)*a(n-5)+(-12*n+48)*a(n-6)+(3*n^2+51*n -306)*a(n-7)+(-12*n^2+6*n+300)*a(n-8)-(n-6)*(n-8)*a(n-10)+2*(2*n-15)*(n-8)*a(n-\ 11) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 14, a(8) = 43, a(9) = 136, a(10) = 443, a(11) = 1478}, [0, 0, 0, 1, 2, 5, 14, 43, 136, 443, 1478, 5028, 17374, 60815, 215194, 768524, 2766526, 10027953, 36569774 , 134078876, 493937374, 1827433994, 6787133516, 25295798313, 94578259394, 354647066055, 1333396872718, 5025609514725, 18984668679244, 71867070886980, 272586823140760, 1035785303113805, 3942505786586386, 15030222086544469, 57386015388727730, 219409473854727827, 839997026542228796, 3219887152681459824, 12357033958906640248, 47475667202132200127, 182593736425161694270, 702967561540439992194, 2708929447270847174040, 10448478793175333277850, 40335067202135504508644, 155836623436516858390343, 602555635472356369346714, 2331581375547953482634581, 9028502170685225195438308, 34984795383001112297092793], 33143833019224772717319576099227214060498991347246\ 5835458641500088585656281977680824528187800525686353696345836662921173556019195\ 1591776884599397864352303022365162840850868249020058304670543248972823953353009\ 4185580655535796971964689106592580885656741589630638770984617630734941823426989\ 6641002760852226330775311001932137347001666524577842397790680268194198194167131\ 9942747424736579357463003415028325139762952428679829462721227051164914094387648\ 3278618242104662279896043760114108282470622451533060214102407019597275468874019\ 420304290954575390307035132059703754276557068003408924800557715509909989] ---------------------------- (A,B)= , {1, 2, 3}, {1, 3} [P^2*x^7+2*P^2*x^5-2*P*x^5-P*x^3-P^2*x+x^3+P^2+2*P*x-2*P-x+1, (C*x^2-1)/(-1+(x^ 4+x^2)*C), {-3*n*(n-3)*a(n)+(n-1)*(31*n-128)*a(n-1)-6*(n-2)*(17*n-86)*a(n-2)+6* (n-3)*(19*n-108)*a(n-3)+(-39*n^2+405*n-984)*a(n-4)+(-9*n^2+63*n-168)*a(n-5)+(44 *n^2-48*n-1040)*a(n-6)+(-113*n^2+327*n+2624)*a(n-7)+(84*n^2-450*n-816)*a(n-8)-\ 36*(n-2)*(2*n-11)*a(n-9)+(36*n^2-360*n+816)*a(n-10)+(-27*n^2+549*n-2760)*a(n-11 )+(46*n^2-1050*n+5936)*a(n-12)-2*(7*n-64)*(n-11)*a(n-13)+12*(2*n-21)*(n-12)*a(n -14) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 21, a(9) = 61, a(10) = 191, a(11) = 613, a(12) = 2028, a(13) = 6845, a( 14) = 23512}, [0, 0, 0, 1, 1, 3, 7, 21, 61, 191, 613, 2028, 6845, 23512, 81895, 288620, 1027273, 3687410, 13333203, 48520238, 177564276, 653066535, 2412666285, 8949093026, 33314632160, 124428734045, 466133694387, 1751034944865, 6594430093730, 24892741235277, 94168485590165, 356950855319591, 1355566573347184, 5156898081557641, 19649997603369131, 74989131079143269, 286586467039511920, 1096725207556958151, 4202339955445824540, 16121482779526192586, 61917151943908090771, 238058191799232399200, 916215123983015140019, 3529650899881576087839, 13610229800752864878536, 52526623068814046831694, 202887864407521407501408, 784293636600608162218639, 3034114130686293850897481, 11746306167493978496046710], 10697439085248825471389\ 3259921701065357919400555463507177899695155009045385804831002762234611095291264\ 2702222611342867143980496943679279265077542924505183181620345724632822525668387\ 2902447984020911724307037603296328714697578696513724847785350112221689621689922\ 6974910568541623768034285620963418396015045903030572162877491604681471627473107\ 8914897394399914827361018818018096773230234640408235987597941156152629508602263\ 0269377532201768757634312115710603567864978028987748216735944731368108491907375\ 4902214975167944021528667324015258196921086088582708931198034912589000373681809\ 64514654877686407220] ---------------------------- (A,B)= , {1, 2, 3}, {1, 4} [P^2*x^9+2*P^2*x^8+2*P^2*x^7+6*P^2*x^6-2*P*x^7+5*P^2*x^5-6*P*x^6+P^2*x^4-6*P*x^ 5+5*P^2*x^3-5*P*x^4+x^5-P^2*x^2-10*P*x^3+4*x^4-3*P^2*x+2*P*x^2+5*x^3+P^2+6*P*x- x^2-2*P-3*x+1, ((x^3+x^2)*C+x^2+x-1)/((x^5+x^3+x^2)*C+x^4+x^2+x-1), {-4*n*(n-4) *a(n)+5*(n-1)*(11*n-54)*a(n-1)-3*(n-2)*(91*n-529)*a(n-2)+2*(n-3)*(263*n-1832)*a (n-3)+2*(7*n+477)*(n-4)*a(n-4)+(-1244*n^2+14036*n-39060)*a(n-5)+(982*n^2-12034* n+36696)*a(n-6)+(298*n^2-6976*n+35040)*a(n-7)+(-428*n^2+4460*n-10944)*a(n-8)+( 739*n^2-6919*n+5742)*a(n-9)+(-260*n^2+8090*n-57648)*a(n-10)+(-315*n^2+5301*n-\ 19314)*a(n-11)+(84*n^2-1848*n+17400)*a(n-12)+(2*n^2-1622*n+19140)*a(n-13)+(294* n^2-9750*n+74940)*a(n-14)+(278*n^2-8294*n+61020)*a(n-15)+15*(11*n-153)*(n-14)*a (n-16)+(130*n^2-3670*n+25860)*a(n-17)+20*(2*n-27)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8) = 36, a(9) = 102, a(10) = 298, a(11) = 896, a(12) = 2768, a(13) = 8765, a(14) = 28383, a(15) = 93769, a(16) = 315326, a(17) = 1077027, a(18) = 3729156}, [0, 0, 0, 1, 2, 5, 13, 36, 102, 298, 896, 2768, 8765, 28383, 93769, 315326, 1077027, 3729156, 13066405, 46259650, 165263910, 595104829, 2157897927, 7872897164, 28880297412, 106456916357, 394121737505, 1464811126164, 5463415513614, 20442628325110, 76714253131503, 288652035468643, 1088774420768076, 4116067638511424, 15593171450569005, 59187216279511089, 225062949957889429, 857254710178986959, 3270377709873765642, 12494677538389108403, 47802678763793723001, 183123429594778761988, 702372736839576459727, 2697079430171758098146, 10367998766405913930312, 39897545420395370302425, 153682474466034740963375, 592526905409302822804531, 2286533603952405353695098, 8831094388168505259617378] , 73169775223645372176851509066925915590513099652087688774157580827069689712729\ 2646676814603318816259110745175633960114077643363145573680619801485734489045712\ 7244229419872294856106334654779264907857959977968149459500469302607933360424671\ 4156775843878283288703634258048157397185572886106123724538476904405282138616711\ 0973927550033782071743452413615000965932345175009781699780010645275309163035462\ 1302374492638716196592432308342567991015863226941192401409614605860340713964293\ 5144748283831909142337322186942461655368350261378801330794934713360799034942042\ 49707048770919652914294673288070782946058736] ---------------------------- (A,B)= , {1, 2, 3}, {1, 5} [P^2*x^8+2*P^2*x^6+5*P^2*x^5-2*P*x^6-P^2*x^4-5*P*x^5+6*P^2*x^3+4*P^2*x^2-12*P*x ^3+x^4-5*P^2*x-8*P*x^2+6*x^3+P^2+10*P*x+4*x^2-2*P-5*x+1, (C*x^2+x^2+2*x-1)/(x^4 +C*x^2+x^2+2*x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)-12*(n-2)*(50*n-\ 329)*a(n-2)+20*(n-3)*(101*n-748)*a(n-3)+(-3079*n^2+38339*n-104112)*a(n-4)+(441* n^2-10065*n+39576)*a(n-5)+(4024*n^2-54800*n+182544)*a(n-6)+(-3390*n^2+47712*n-\ 164664)*a(n-7)+(553*n^2-2159*n-21720)*a(n-8)+(518*n^2-4966*n+5520)*a(n-9)+(-\ 1832*n^2+31432*n-135960)*a(n-10)+(76*n^2+514*n-7368)*a(n-11)+(-242*n^2+4852*n-\ 25320)*a(n-12)+(-252*n^2+4620*n-20472)*a(n-13)+(22*n^2-578*n+3816)*a(n-14)-2*(n -12)*(13*n-164)*a(n-15)+4*(2*n-27)*(n-14)*a(n-16) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 17, a(8) = 51, a(9) = 153, a(10) = 467, a(11) = 1442, a(12) = 4509, a(13) = 14266, a(14) = 45666, a(15) = 147858, a(16) = 484140}, [0, 0, 0, 1, 2, 6, 17, 51, 153, 467, 1442, 4509, 14266, 45666, 147858, 484140, 1602742, 5362865, 18130971, 61910392, 213417791, 742354440, 2604246778, 9208993751, 32807119340, 117684343284, 424853051599, 1542808873048, 5632925952028, 20668668510320, 76184944756373, 281993813035303, 1047787194369357, 3906899739578495, 14614780156103715, 54832754101440507, 206287702798271682, 778036188999173074, 2941278261731094863, 11143127438047612330, 42300439089010437376, 160874839775400977029, 612888389348281786439, 2338699646890041452583, 8937616967807161969693, 34204391310927699820734, 131074181427739025575099, 502913434893205583687641, 1931873621610162349570629, 7429247431842888358830101], 533180591084707711227356\ 8664718181763734213608130606933377267100393584765741962898062814173439280242177\ 1005584609257933038860827826526290939231141661980881811506525988842607942957036\ 9489780711676193801668831069426508455225528416181415475324966487456108656600090\ 6844927159099964186065748491660789147971924409700925176255889877197854162017278\ 8629624403192072501662631684340180563234413741806427289656660678632131159215189\ 3242864006067880742434722013169427221124260220693571368814196109044799949891541\ 7691973148464467742758050786258063124512758775918582505914806619133068074694860\ 713038595331022212] ---------------------------- (A,B)= , {1, 2, 3}, {2, 3} [P^2*x^7+2*P^2*x^6+P^2*x^5-2*P*x^6-2*P*x^5-P^2*x^3+x^5-P^2*x^2+P*x^3+2*P*x^2+P^ 2-x^2-2*P+1, (C*x^3-1)/(-1+(x^4+x^3)*C), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n -1)-2*(n-2)*(26*n-149)*a(n-2)-3*(n-3)*(11*n-48)*a(n-3)+(52*n^2-582*n+1508)*a(n-\ 4)+(68*n^2-618*n+1348)*a(n-5)+(-4*n^2+294*n-1676)*a(n-6)+(-33*n^2+525*n-1716)*a (n-7)+(-49*n^2-339*n+5692)*a(n-8)+(-43*n^2+141*n+760)*a(n-9)+(444*n-4392)*a(n-\ 10)+(-16*n^2+726*n-5636)*a(n-11)+(-14*n^2+306*n-1624)*a(n-12)+3*(n-12)*(11*n-\ 155)*a(n-13)+(82*n^2-2070*n+12992)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 6, a(8) = 17, a(9 ) = 49, a(10) = 152, a(11) = 490, a(12) = 1620, a(13) = 5473, a(14) = 18817, a( 15) = 65612}, [0, 0, 0, 1, 1, 2, 6, 17, 49, 152, 490, 1620, 5473, 18817, 65612, 231459, 824577, 2962308, 10719498, 39035836, 142945096, 526040927, 1944401201, 7215637752, 26873272008, 100410866327, 376297556455, 1414048857508, 5327024343153, 20114450537402, 76113251068570, 288585434069798, 1096202863420595, 4171153767616048, 15897241788636086, 60679752331598314, 231943599581750904, 887771549287336403, 3402256701892123444, 13054177782542252022, 50144187186124715677, 192821096925407493248, 742211398197860331564, 2859682582987975770591, 11028204624025552123519, 42566669093637178718230, 164435202763018680378186, 635716995531424623896052, 2459582799457594828423169, 9522991128639417330324293], 871009661175927869431755\ 7899753467871537233898577732701976026149712395434465373787651751799835387610227\ 8428635812343614901827060030298420100900325207683440659870353980311718856195479\ 9356088769870217648488285709780872730726510703210644005588873567723967009523298\ 5721925633697629660591440491215468216980079284967502883432572580217496224189920\ 0870515789935382530174451974343751529038670181771514622416568428921206112218380\ 1707998309157192542983159901077362893816833344928035670656312865736671823616361\ 6217630658535011889006630561008014018739039812802772656239480002834962240363703\ 539837876157476052] ---------------------------- (A,B)= , {1, 2, 3}, {2, 4} [P^2*x^9+4*P^2*x^8+5*P^2*x^7-2*P*x^8+4*P^2*x^6-6*P*x^7+6*P^2*x^5-6*P*x^6+x^7+P^ 2*x^4-8*P*x^5+2*x^6-2*P^2*x^3-5*P*x^4+2*x^5+2*P^2*x^2+4*P*x^3+4*x^4-3*P^2*x-4*P *x^2-2*x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, ((x^4+x^2)*C+x^3+x-1)/((x^5+x^4+x^2)*C+x^ 4+x^3+x-1), {-4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)-3*(n-2)*(97*n-553)*a(n-2) +6*(n-3)*(127*n-806)*a(n-3)-12*(n-4)*(93*n-628)*a(n-4)+(1096*n^2-13156*n+38400) *a(n-5)+(-733*n^2+11335*n-41682)*a(n-6)+(-139*n^2-2429*n+23682)*a(n-7)+(542*n^2 -5504*n+9924)*a(n-8)-(n+6)*(187*n-1663)*a(n-9)+(169*n^2-631*n-15606)*a(n-10)+( 161*n^2+439*n-17670)*a(n-11)+(-125*n^2+3167*n-17898)*a(n-12)+(-28*n^2+1132*n-\ 10848)*a(n-13)+(536*n^2-16226*n+121944)*a(n-14)+(704*n^2-21656*n+165840)*a(n-15 )+(713*n^2-21317*n+159354)*a(n-16)+(650*n^2-19862*n+151140)*a(n-17)+(314*n^2-\ 9914*n+77652)*a(n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 10, a(8) = 27, a(9) = 74, a(10) = 210 , a(11) = 621, a(12) = 1903, a(13) = 6012, a(14) = 19504, a(15) = 64734, a(16) = 219047, a(17) = 753406, a(18) = 2627285, a(19) = 9269562}, [0, 0, 0, 1, 2, 4, 10, 27, 74, 210, 621, 1903, 6012, 19504, 64734, 219047, 753406, 2627285, 9269562, 33032013, 118719060, 429845461, 1566380418, 5740285165, 21141547519, 78211201854, 290488449472, 1082792710965, 4049221869244, 15187311855576, 57116711678692, 215338702505530, 813715965203285, 3081345888090352, 11691178042124159, 44439254331185714, 169204732296120672, 645278796205464826, 2464495009933677921, 9425723639405637404, 36097054974165437492, 138409652791139018672, 531335129444840692117, 2041976283689873679772, 7855747911023832835114, 30252112344058790101231, 116609410546291591034602, 449884703641928352910113, 1737160825775881949788691, 6713248828955296192065003] , 56863116033426111130721250422073120801686980787249762507955976929715350458762\ 5651754901619269751676104212200120102687005316210218425363090821944384884869846\ 2199113880525582489201504357819468696994415666872896816132992266845538053932766\ 0905547152018288789401717705801570483913827211107891326216026001970944475406053\ 3558026366460025124964406155288763490902678431426806126709253794622786696623609\ 0234336312752585907674368270095021194616288968351956942127273514821841748717692\ 3848745326881333425916465769093936292244413323820964867703748361766286008441392\ 69734768219877963333906675364481329133105113] ---------------------------- (A,B)= , {1, 2, 3}, {2, 5} [P^2*x^8+2*P^2*x^7+P^2*x^6-2*P*x^7+5*P^2*x^5-2*P*x^6+3*P^2*x^4-5*P*x^5+x^6-P^2* x^3-8*P*x^4+6*P^2*x^2+2*P*x^3+5*x^4-5*P^2*x-12*P*x^2-x^3+P^2+10*P*x+6*x^2-2*P-5 *x+1, (C*x^2+x^3+2*x-1)/(x^4+C*x^2+x^3+2*x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-\ 168)*a(n-1)-56*(n-2)*(11*n-72)*a(n-2)+35*(n-3)*(65*n-472)*a(n-3)+(-4681*n^2+ 55835*n-148464)*a(n-4)+(5415*n^2-73047*n+230136)*a(n-5)+(-3679*n^2+55577*n-\ 202392)*a(n-6)+(1490*n^2-30016*n+140112)*a(n-7)+(853*n^2-4127*n-24144)*a(n-8)+( -1522*n^2+21800*n-73080)*a(n-9)+(400*n^2-2540*n-15480)*a(n-10)+(-490*n^2+9848*n -42696)*a(n-11)+(-450*n^2+8658*n-43968)*a(n-12)+(-82*n^2+1598*n-6528)*a(n-13)+( -24*n^2-384*n+9144)*a(n-14)+(-12*n^2+204*n-528)*a(n-15)+6*(7*n-103)*(n-16)*a(n-\ 16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5 ) = 2, a(6) = 5, a(7) = 14, a(8) = 40, a(9) = 115, a(10) = 337, a(11) = 1006, a (12) = 3055, a(13) = 9434, a(14) = 29617, a(15) = 94486, a(16) = 306156, a(17) = 1006895}, [0, 0, 0, 1, 2, 5, 14, 40, 115, 337, 1006, 3055, 9434, 29617, 94486 , 306156, 1006895, 3358612, 11352653, 38850490, 134475370, 470349177, 1660824233, 5915146880, 21231646037, 76743954769, 279153563936, 1021190588531, 3754828456990, 13869959226009, 51448059148405, 191558259936117, 715682143499032 , 2682216907143074, 10081021814535415, 37988160393131071, 143493743488577754, 543221455999302639, 2060664713168579566, 7831757885779242971, 29817724930587632148, 113710574930921594310, 434301434775891536793, 1661128517684972235692, 6362067360841094478505, 24397277516934203975574, 93670031444549726096967, 360036918884276694576518, 1385331777495588204965526, 5335761913892651515330694], 401188363418796450829154819854762743823624630463099\ 6398309078138799919615770662588583089959979927912734959727720642641632172915586\ 1948407114629231552614638187120127153642131265923433071912434257665189086596355\ 7056467434149183864510710562871022140201053413202634136447982929235208928803030\ 7870266480394896449354822582080192538946644601950036874935189244743918210848600\ 1968051552158410073075871899155283403863620812230931077956394129069681227136259\ 5373222765409947746075724284544793846953125034884394736809152783211935267238343\ 9761922652629149859106451656083756831718412578378558310491486170712821] ---------------------------- (A,B)= , {1, 2, 3}, {3, 4} [P^2*x^9+4*P^2*x^8+7*P^2*x^7-2*P*x^8+8*P^2*x^6-8*P*x^7+5*P^2*x^5-12*P*x^6+x^7-P ^2*x^4-10*P*x^5+4*x^6-3*P^2*x^3-P*x^4+5*x^5-3*P^2*x^2+6*P*x^3+2*x^4+6*P*x^2-3*x ^3+P^2-3*x^2-2*P+1, ((x^4+x^3)*C+x^3+x^2-1)/((x^5+x^4+x^3)*C+x^4+x^3+x^2-1), {-\ 4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-18*(n-2)*(3*n-22)*a(n-2)-3*(n-3)*(47*n-\ 266)*a(n-3)+2*(n-4)*(95*n-774)*a(n-4)+(375*n^2-4617*n+13770)*a(n-5)+(65*n^2+907 *n-8094)*a(n-6)+(-571*n^2+9277*n-36570)*a(n-7)+(-759*n^2+8637*n-20010)*a(n-8)+( -74*n^2-4498*n+45180)*a(n-9)+(517*n^2-10735*n+50574)*a(n-10)+(336*n^2+624*n-\ 49368)*a(n-11)+(-99*n^2+11859*n-121806)*a(n-12)+(-6*n^2+4260*n-48192)*a(n-13)+( 840*n^2-23604*n+166920)*a(n-14)+(1590*n^2-46764*n+343440)*a(n-15)+(1566*n^2-\ 46614*n+346476)*a(n-16)+(972*n^2-29532*n+223512)*a(n-17)+6*(59*n-846)*(n-17)*a( n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a (5) = 1, a(6) = 2, a(7) = 5, a(8) = 12, a(9) = 30, a(10) = 82, a(11) = 238, a( 12) = 725, a(13) = 2301, a(14) = 7543, a(15) = 25356, a(16) = 86934, a(17) = 302775, a(18) = 1067984, a(19) = 3806691}, [0, 0, 0, 1, 1, 2, 5, 12, 30, 82, 238, 725, 2301, 7543, 25356, 86934, 302775, 1067984, 3806691, 13687687, 49584222, 180776596, 662781493, 2441963487, 9036713024, 33572634402, 125168709353, 468163852189, 1756175361487, 6605385286407, 24905456899354, 94118284463285, 356420887476964, 1352373130184642, 5140621751051337, 19573474958238468, 74645904768418856, 285093227042403474, 1090364515125888333, 4175657946694181657, 16010838754588481098, 61462397347950778893, 236202154847779150514, 908682213737356155362, 3499216522080463624980, 13487727066975939720712, 52035053420514815479126, 200920413365385393886777, 776436193475679704773312, 3002791165669542628054077], 2620342151062067857924257\ 8318167282975233995606745650682050689867980730378027161655553191033328424204720\ 6849479255726418558357064270493117277573591468846544590332522546846639592794844\ 9661233509039427179170641743187683246251189368670605069126205692759388777281845\ 1294577309902495324827069133239923885123662777145186072551136434222915918388469\ 0916908737449690839577248643465575948841378792830843838665310328030308924088835\ 1801540913966983947250823423172821852301464110204218171677688254602229680530770\ 4242887006495644956083879514989745496132522514655728134727774816032592591548087\ 93894685856502363] ---------------------------- (A,B)= , {1, 2, 3}, {3, 5} [P^2*x^8+2*P^2*x^7+3*P^2*x^6-2*P*x^7+5*P^2*x^5-4*P*x^6+2*P^2*x^4-7*P*x^5+x^6+2* P^2*x^3-6*P*x^4+2*x^5-4*P*x^3+4*x^4-3*P^2*x+2*x^3+P^2+6*P*x-2*P-3*x+1, (C*x^2+x ^3+x^2+x-1)/(x^4+C*x^2+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1) -4*(n-2)*(88*n-597)*a(n-2)+4*(n-3)*(193*n-1484)*a(n-3)+(-505*n^2+6641*n-18504)* a(n-4)+(-446*n^2+5602*n-16608)*a(n-5)+(386*n^2-4804*n+13884)*a(n-6)+(-157*n^2-\ 1177*n+17580)*a(n-7)+(675*n^2-10467*n+39840)*a(n-8)+(267*n^2-3363*n+8208)*a(n-9 )+(-191*n^2+6223*n-44760)*a(n-10)+(-259*n^2+7457*n-46716)*a(n-11)+(-394*n^2+ 8396*n-43980)*a(n-12)-8*(29*n-238)*(n-12)*a(n-13)+(-13*n^2-589*n+10068)*a(n-14) +(38*n^2-1354*n+11496)*a(n-15)+10*(n-15)*(5*n-76)*a(n-16)+12*(2*n-29)*(n-16)*a( n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7 , a(8) = 18, a(9) = 46, a(10) = 124, a(11) = 344, a(12) = 989, a(13) = 2938, a( 14) = 9007, a(15) = 28416, a(16) = 91988, a(17) = 304589}, [0, 0, 0, 1, 1, 3, 7 , 18, 46, 124, 344, 989, 2938, 9007, 28416, 91988, 304589, 1028464, 3531313, 12299259, 43360376, 154454496, 555078655, 2010112272, 7327518511, 26865818904, 99002858439, 366478100617, 1362039173978, 5080351773395, 19011152850273, 71351500175580, 268512811313277, 1012968874735332, 3830103699357076, 14512181601165695, 55092903768477289, 209526909819728183, 798200192309564193, 3045536646095343865, 11637310136352238269, 44528600350739250533, 170603363972723916599, 654433981460138161142, 2513299064605393960653, 9662631219531261577006, 37187293353718705490161, 143257921103094859031136, 552390707436039924383948, 2131856860158912960735128], 1714996769340655285039843\ 7862539779754008207407767804295835235936411307210154679283712627908234172981908\ 2975956385154377779182704706417402113926144385551789145868447456575971837054240\ 7990982222632321899541984058885051304208087238676868333262579980137167994236580\ 4935707832824341724755821000493516829630467898504970831847662717378006397355460\ 3200255159618393236798414085598727340653825159167868744394469248727529449406889\ 6253220170581647654100355035261232030620015785178011851532935392838654984229449\ 9645174217868462399839537270876285722096958032451983763524427937025475535078543\ 21328622417780064] ---------------------------- (A,B)= , {1, 2, 3}, {4, 5} [P^2*x^11+4*P^2*x^10+10*P^2*x^9-2*P*x^10+17*P^2*x^8-8*P*x^9+22*P^2*x^7-20*P*x^8 +x^9+23*P^2*x^6-32*P*x^7+4*x^8+15*P^2*x^5-38*P*x^6+10*x^7+6*P^2*x^4-31*P*x^5+15 *x^6-14*P*x^4+16*x^5-4*P^2*x^2+8*x^4-2*P^2*x+8*P*x^2+P^2+4*P*x-4*x^2-2*P-2*x+1, ((x^5+x^4+x^3)*C+x^4+2*x^3+2*x^2+x-1)/((x^6+x^5+x^4+x^3)*C+x^5+2*x^4+2*x^3+2*x^ 2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-28*(n-2)*(8*n-57)*a(n-2)+16*(n-3 )*(8*n-85)*a(n-3)+(683*n^2-7987*n+21000)*a(n-4)+(-299*n^2+5167*n-18120)*a(n-5)+ (-1355*n^2+22039*n-84312)*a(n-6)+(-1130*n^2+16168*n-57120)*a(n-7)+(447*n^2-\ 20487*n+136992)*a(n-8)+(3315*n^2-71259*n+370752)*a(n-9)+(4338*n^2-75360*n+ 313332)*a(n-10)+(1709*n^2+1415*n-226056)*a(n-11)+(-2393*n^2+102763*n-871992)*a( n-12)+(-4396*n^2+132938*n-955944)*a(n-13)+(-1774*n^2+28610*n-33696)*a(n-14)+( 4422*n^2-176634*n+1646316)*a(n-15)+(10561*n^2-373967*n+3256380)*a(n-16)+(13326* n^2-462510*n+3996888)*a(n-17)+(12019*n^2-418751*n+3645780)*a(n-18)+(8274*n^2-\ 292434*n+2582136)*a(n-19)+(4404*n^2-159216*n+1434936)*a(n-20)+3*(583*n-9993)*(n -20)*a(n-21)+6*(79*n-1364)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8) = 35, a( 9) = 94, a(10) = 256, a(11) = 708, a(12) = 1991, a(13) = 5701, a(14) = 16650, a (15) = 49666, a(16) = 151459, a(17) = 472376, a(18) = 1506371, a(19) = 4907468, a(20) = 16310699, a(21) = 55211441, a(22) = 189974541, a(23) = 663166900}, [0, 0, 0, 1, 2, 5, 13, 35, 94, 256, 708, 1991, 5701, 16650, 49666, 151459, 472376, 1506371, 4907468, 16310699, 55211441, 189974541, 663166900, 2344211881, 8376653199, 30212157539, 109839345229, 402080188900, 1480599158625, 5480142100021, 20374762377403, 76050910540850, 284859963450607, 1070309957671158, 4032746493958244, 15233112990050101, 57673081338338884, 218810818034010465, 831766567455300620, 3167426511353822421, 12081679508449880225, 46154451850938667326, 176571579747755395661, 676408459016529452661, 2594432690176243760029, 9962963200799146977475, 38301693420480999785966, 147402198931268994708642, 567834774754477869689404, 2189523282008595750183290], 171360521302964250456692586066230777782155919821744\ 3558676259881545487537351437007457961193616515213390688188335865327602712305560\ 2060677765614347433849757950425343958568857505936729643663874647287254146629983\ 5104948905239903988230924066815450469319509242638165386562587543432537570928848\ 3565562342427139823423533554982581831077389726491017167278397267008682949961201\ 8477862625716116316054928569916539488691551389334283777728246767143006650277466\ 3398671691454705845760932647123936552558028912856527794434615798297195049046802\ 5002227442238947210870024180386424236516216613619652339373713401280474] ---------------------------- (A,B)= , {1, 2, 3}, {1, 2, 3} [P^2*x^7-P^2*x^3+P*x^3+P^2-2*P+1, -1/(C*x^4-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-\ 56)*a(n-1)-28*(n-2)*(2*n-11)*a(n-2)+3*n*(n-3)*a(n-3)+(-27*n^2+153*n-168)*a(n-4) +(60*n^2-486*n+888)*a(n-5)-2*(n+7)*(n-4)*a(n-7)+(22*n^2-72*n-160)*a(n-8)-28*(n-\ 2)*(2*n-11)*a(n-9)-(n-8)*(n-7)*a(n-11)+2*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 15, a(9) = 44, a(10) = 137, a(11) = 443, a(12) = 1473}, [0, 0, 0, 1, 1, 2, 5, 15, 44, 137, 443, 1473, 4997, 17234, 60244, 212965, 759997, 2734241, 9906337, 36112670, 132361797, 487484793, 1803162895, 6695722220, 24951017572, 93275820198, 349719223200, 1314722803099, 4954734736857, 18715269132457, 70841577996883, 268677735469645, 1020864209963627, 3885478360865987, 14811999051893455, 56549974352274968, 216202893503976640, 827685199623627336, 3172566791524106585, 12174980415154466505, 46774604045884503713, 179891617579478914530, 692543802170777991927, 2668685443428872635893, 10292982524017753421214, 39733801147283697844582, 153509989668099069830088, 593546327512968562005541, 2296671763606952292183772, 8893146157399101681884481], 816846674877350541238710\ 1147573526654388656051247488222907953496570425548162725225758173689489934106049\ 8134147013499469494897872664575669750299963968966720866747234863371311376448872\ 4931093673021943143990518547526529983046024525643124067486914681410108600718357\ 6916194047286109641532784247646731610077821360464992720274153689834819076442525\ 6803343982241395718733880950569359296484223968340862500685211163320790572139661\ 9524042297435118151850876296156712173820718514870014514359191662775726344838126\ 4568889867054364718669240711301777940952654381548531562836965117033091832020327\ 884667625209444947] ---------------------------- (A,B)= , {1, 2, 3}, {1, 2, 4} [P^2*x^9+2*P^2*x^8+2*P^2*x^6+4*P^2*x^5-2*P*x^6-3*P^2*x^4-4*P*x^5+P^2*x^3+3*P*x^ 4+2*P^2*x^2-2*P*x^3-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/ ((x^5+x^2)*C+x^4+x-1), {-4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)-3*(n-2)*(97*n-\ 553)*a(n-2)+3*(n-3)*(249*n-1598)*a(n-3)-2*(n-4)*(466*n-3399)*a(n-4)+(292*n^2-\ 5032*n+17880)*a(n-5)+(766*n^2-6916*n+13860)*a(n-6)+(-1263*n^2+14007*n-36126)*a( n-7)+(703*n^2-9841*n+32838)*a(n-8)+(217*n^2-763*n-7110)*a(n-9)+(-461*n^2+5051*n -11346)*a(n-10)+(228*n^2-3144*n+10680)*a(n-11)+(3*n^2+1329*n-12186)*a(n-12)+(-\ 20*n^2-736*n+9840)*a(n-13)+(27*n^2-909*n+6846)*a(n-14)+6*(n-10)*(n-9)*a(n-15)+ 10*(n-13)*(5*n-66)*a(n-16)+12*(2*n-25)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 9, a(8) = 23, a(9) = 62, a(10) = 175, a(11) = 517, a(12) = 1591, a(13) = 5065, a(14) = 16579, a(15) = 55517, a( 16) = 189414, a(17) = 656291}, [0, 0, 0, 1, 2, 4, 9, 23, 62, 175, 517, 1591, 5065, 16579, 55517, 189414, 656291, 2303311, 8171273, 29255068, 105565479, 383527536, 1401695662, 5149768770, 19008339493, 70454599940, 262121115731, 978514208651, 3664132107924, 13759351475948, 51801970425084, 195491074861383, 739368814818343, 2802069120998020, 10639410704912505, 40468888587548925, 154184071534606773, 588337724254991176, 2248234037966724454, 8602930189343738364, 32961506763842530040, 126442225801889765505, 485593498658927371553, 1866907511118910178568, 7184847846940040561198, 27677997542012839199427, 106721823106385319809032, 411864115585976179445044, 1590812023151451350033453, 6149378809510937357590262], 526173643716064627131101\ 1658667464557764990588156990771894582142711861298256097494639945305405298785713\ 6085132503519666507553358587572790078598657403405697745049071436020663386849861\ 7863460631461766942096264238396371362428174961190707136941926233245618487681093\ 8589224918094870038971787139079995285159123339599594824034708975991381379632272\ 8694377510407993547172977822944805665968009593214359125051339852319073047898990\ 7906352023799226464402914177674295994297356307748403387821314432499079941674171\ 6743755131188652082877718571809141496311800105533576500612015311452920502794287\ 672999070540994772] ---------------------------- (A,B)= , {1, 2, 3}, {1, 2, 5} [P^2*x^8+5*P^2*x^5-2*P^2*x^4-5*P*x^5+P^2*x^3+2*P*x^4+6*P^2*x^2-2*P*x^3-5*P^2*x-\ 12*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x+1, (C*x^2+2*x-1)/(x^4+C*x^2+2*x-1), {5*n* (n-5)*a(n)-3*(n-1)*(29*n-168)*a(n-1)+56*(n-2)*(11*n-72)*a(n-2)-17*(n-3)*(133*n-\ 968)*a(n-3)+(4471*n^2-53825*n+143784)*a(n-4)+(-4194*n^2+58998*n-190416)*a(n-5)+ (247*n^2-9635*n+50292)*a(n-6)+(3190*n^2-41162*n+128748)*a(n-7)+(-3423*n^2+47811 *n-160152)*a(n-8)+(1514*n^2-24460*n+95004)*a(n-9)+(604*n^2-9206*n+36864)*a(n-10 )+(-699*n^2+10683*n-41724)*a(n-11)+(417*n^2-7347*n+32904)*a(n-12)+(50*n^2-934*n +4296)*a(n-13)+(-29*n^2+631*n-3420)*a(n-14)+10*(n-12)*(2*n-25)*a(n-15) = 0, a(1 ) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8) = 36, a(9) = 101, a(10) = 290, a(11) = 851, a(12) = 2552, a(13) = 7813, a(14) = 24402 , a(15) = 77681}, [0, 0, 0, 1, 2, 5, 13, 36, 101, 290, 851, 2552, 7813, 24402, 77681, 251789, 830008, 2779086, 9438994, 32477507, 113062588, 397750304, 1412448152, 5057823303, 18246848122, 66266381642, 242085968985, 889088198930, 3280809929889, 12158239406574, 45230623237666, 168852911620781, 632354062204345 , 2375016332591794, 8943774558236964, 33762070854376317, 127734489385469812, 484266416234657681, 1839466441248613618, 6999579677605329989, 26679145089644465512, 101846064696411562008, 389355334617973131210, 1490523067686871735461, 5713295295061960939694, 21925921914375459402089, 84240874204769197609602, 324007244037041987139905, 1247465828353904561037095, 4807528444224243080368183], 367888013395391758645260876260165879863465053614301\ 6425302646577460416819065013481715619548750732596276308756835015025459072835714\ 7543620713516688480881459537875476728410155989006733222125962587643368670097567\ 4590146370945242468295986815658767642686879415346071896472257621847817678758716\ 5649679800693916763999326414801187559042450371962252748163811844840760260206642\ 2033728333656348005590313283252628033865516110983960755530595991955888908935211\ 0256623604927761583610906092829653290776241756094889084587657666742631802222083\ 7713556468306045411834321959316629375814885663285625616852745822718981] ---------------------------- (A,B)= , {1, 2, 3}, {1, 3, 4} [P^2*x^9+2*P^2*x^8+2*P^2*x^7+4*P^2*x^6-2*P*x^7+P^2*x^5-4*P*x^6-P^2*x^4-2*P*x^5- P*x^4+x^5-3*P^2*x^2+2*x^4+6*P*x^2+P^2-3*x^2-2*P+1, (C*x^3+x^2-1)/((x^5+x^3)*C+x ^4+x^2-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-18*(n-2)*(3*n-22)*a(n-2)-\ 12*(n-3)*(13*n-70)*a(n-3)+2*(n-4)*(161*n-1062)*a(n-4)+(126*n^2-1806*n+5940)*a(n -5)+(-282*n^2+4638*n-17988)*a(n-6)+(93*n^2-411*n-1122)*a(n-7)+(-334*n^2+3184*n-\ 4728)*a(n-8)+(-75*n^2-765*n+12906)*a(n-9)+(204*n^2-2874*n+6756)*a(n-10)+(-35*n^ 2+1499*n-15822)*a(n-11)+(123*n^2-1323*n+1350)*a(n-12)+(30*n^2+582*n-8940)*a(n-\ 13)+(100*n^2-2848*n+20160)*a(n-14)+(172*n^2-5122*n+37740)*a(n-15)+5*(23*n-314)* (n-15)*a(n-16)+2*(53*n-722)*(n-15)*a(n-17)+20*(2*n-27)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 10, a(9 ) = 25, a(10) = 69, a(11) = 203, a(12) = 630, a(13) = 2031, a(14) = 6743, a(15) = 22893, a(16) = 79092, a(17) = 277082, a(18) = 981799}, [0, 0, 0, 1, 1, 2, 4, 10, 25, 69, 203, 630, 2031, 6743, 22893, 79092, 277082, 981799, 3511977, 12663944, 45981841, 167963668, 616795360, 2275643724, 8431179635, 31355259609, 117007673232, 437991582622, 1644174966529, 6188127154499, 23345852824986, 88271464808377, 334441814394085, 1269543439888664, 4827751617307613, 18389158121486762, 70154004071432123, 268024908408038968, 1025397072521448517, 3927974680464812749, 15065147200932140077, 57846513605938053769, 222358357174713325274, 855613476446098024674, 3295542951047933188958, 12705171490693408463645, 49025135251398909675811, 189331851101177894181790, 731776270096802198778220, 2830525107125880604076918], 2485053374444616086825390\ 3093808218014290236939467266167938213335938738633228800790257166392393150384190\ 8106880753718202609571317669454146499673467740562121511823098956269053463152433\ 3337352922935007494032975094388448896145049035966440133733507420163436475876471\ 6736703191429029542988492007581886274241521856020111341174857572830677907937536\ 8682923699355187359338035678495299431317787568666625114541187980314626146833267\ 2274814839175966960604819719939202844050270913817552942089921832517392060496384\ 1883658854021797425619090028678662777095178600754220255629802363458262304964807\ 47546476248252982] ---------------------------- (A,B)= , {1, 2, 3}, {1, 3, 5} [P^2*x^8+2*P^2*x^6+3*P^2*x^5-2*P*x^6-P^2*x^4-3*P*x^5+4*P^2*x^3-8*P*x^3+x^4-3*P^ 2*x+4*x^3+P^2+6*P*x-2*P-3*x+1, (C*x^2+x^2+x-1)/(x^4+C*x^2+x^2+x-1), {-5*n*(n-5) *a(n)+3*(n-1)*(23*n-136)*a(n-1)-4*(n-2)*(88*n-597)*a(n-2)+2*(n-3)*(379*n-2936)* a(n-3)+(-331*n^2+4955*n-14544)*a(n-4)+(-1205*n^2+14509*n-42168)*a(n-5)+(1658*n^ 2-22366*n+73464)*a(n-6)+(-412*n^2+3458*n-2304)*a(n-7)+(-411*n^2+7497*n-34968)*a (n-8)+(838*n^2-11774*n+39456)*a(n-9)+(-602*n^2+10282*n-45936)*a(n-10)+(-50*n^2+ 1732*n-9552)*a(n-11)+(18*n^2+192*n-3960)*a(n-12)+(-172*n^2+3188*n-14376)*a(n-13 )+(20*n^2-532*n+3552)*a(n-14)-6*(n-12)*(3*n-38)*a(n-15)+4*(2*n-27)*(n-14)*a(n-\ 16) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 16, a(9) = 39, a(10) = 105, a(11) = 288, a(12) = 831, a(13) = 2480, a(14 ) = 7671, a(15) = 24440, a(16) = 79937}, [0, 0, 0, 1, 1, 3, 6, 16, 39, 105, 288 , 831, 2480, 7671, 24440, 79937, 267285, 910571, 3151044, 11048876, 39175303, 140220574, 505971329, 1838546140, 6721478616, 24704357294, 91228962299, 338312678202, 1259334941315, 4703715730665, 17623009842495, 66212421364954, 249411169591701, 941713802348505, 3563435902042638, 13511247177551351, 51325790913357476, 195314045744062903, 744455128080197641, 2841877562182255256, 10864077764884841864, 41587583633040727788, 159398342948134156046, 611676953411145787258, 2349904106462514574350, 9037362271039776836467, 34791460572503807585702, 134066660083304288027234, 517089222853407032455154, 1996124654324399460921807], 161984620900815028621582399594506315060511733618138\ 4883919542588235666128150740058639194487707612146578576888863539937413346607799\ 4811156961431114605855629358066583343877525261859272000905211997729948960273979\ 2079275037303968352182959254013590099057556992032294000514524030914082109294023\ 5116345463847449041465565061405325804752693094500415090758921965556779724418893\ 9288940128826069339861487254376241510909511339710385725326837201457768997011270\ 3624683633746739289215762333398473811374463057840852035189025713971214203382999\ 4819491787352554748232489080703352465141675109799929859801592755135757] ---------------------------- (A,B)= , {1, 2, 3}, {1, 4, 5} [P^2*x^11+2*P^2*x^10+5*P^2*x^9+7*P^2*x^8-2*P*x^9+11*P^2*x^7-6*P*x^8+12*P^2*x^6-\ 12*P*x^7+7*P^2*x^5-16*P*x^6+x^7+7*P^2*x^4-15*P*x^5+4*x^6+2*P^2*x^3-16*P*x^4+8*x ^5-4*P^2*x^2-4*P*x^3+9*x^4-2*P^2*x+8*P*x^2+2*x^3+P^2+4*P*x-4*x^2-2*P-2*x+1, ((x ^4+x^3)*C+x^3+2*x^2+x-1)/((x^6+x^4+x^3)*C+x^5+x^4+x^3+2*x^2+x-1), {-5*n*(n-5)*a (n)+60*(n-1)*(n-6)*a(n-1)-28*(n-2)*(8*n-57)*a(n-2)+6*(n-3)*(19*n-216)*a(n-3)+( 821*n^2-9385*n+24384)*a(n-4)+(-621*n^2+9609*n-32280)*a(n-5)+(-1823*n^2+26257*n-\ 92772)*a(n-6)+(535*n^2-9257*n+39336)*a(n-7)+(1660*n^2-35948*n+182856)*a(n-8)+( 1087*n^2-24695*n+130608)*a(n-9)+(1247*n^2-13057*n+4548)*a(n-10)+(70*n^2+15934*n -184716)*a(n-11)+(-1379*n^2+45613*n-339600)*a(n-12)+(-1370*n^2+35800*n-219660)* a(n-13)+(-515*n^2+4399*n+49908)*a(n-14)+(620*n^2-30604*n+316164)*a(n-15)+(1479* n^2-56001*n+502872)*a(n-16)+(1820*n^2-64666*n+563316)*a(n-17)+(1538*n^2-52708*n +449856)*a(n-18)+(995*n^2-33859*n+287856)*a(n-19)+(542*n^2-18670*n+160536)*a(n-\ 20)+(202*n^2-7082*n+61776)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a( 2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 12, a(8) = 31, a(9) = 80 , a(10) = 211, a(11) = 567, a(12) = 1560, a(13) = 4400, a(14) = 12748, a(15) = 37977, a(16) = 116352, a(17) = 366313, a(18) = 1183148, a(19) = 3911494, a(20) = 13201458, a(21) = 45362889, a(22) = 158291171}, [0, 0, 0, 1, 2, 5, 12, 31, 80 , 211, 567, 1560, 4400, 12748, 37977, 116352, 366313, 1183148, 3911494, 13201458, 45362889, 158291171, 559597711, 2000220900, 7216375854, 26241153674, 96064697928, 353711906091, 1308894803856, 4864685884175, 18149921104614, 67948277523667, 255158949356194, 960818468987172, 3627098487841884, 13723661985646410, 52034506644065624, 197675257977524383, 752298247450756519, 2867803236473266885, 10949166057719661508, 41864041002240340195, 160283983139529605601, 614458089981078707250, 2358387535507377249354, 9062110164195622555571, 34858428628112946638469, 134222665424476848645689, 517321787160642116686825, 1995683111541708981005228], 1584905184463923613063875\ 5670790648617867716567656592023814799906838298475045642352504585229774703904820\ 0529676666472925048502820654368152877999137688922155263494812680917211484944016\ 3667961962392523810566475114235949477112582121135272038603832908285484750191475\ 6644861285430755002366117751853890791386052911575816046153343782374691075513080\ 9698786726834222265932923225311759694791224589793666686297990029097287513121268\ 2447125833571729527530892460613375534809764280456257768255658258194222733695038\ 4612252119166880937438914938090111916846242818148766247797707210569737431025924\ 24322664602005196] ---------------------------- (A,B)= , {1, 2, 3}, {2, 3, 4} [P^2*x^9+4*P^2*x^8+5*P^2*x^7-2*P*x^8+2*P^2*x^6-6*P*x^7-4*P*x^6+x^7-3*P^2*x^4+2* x^6-3*P^2*x^3+3*P*x^4+6*P*x^3-3*x^3+P^2-2*P+1, (C*x^4+x^3-1)/((x^5+x^4)*C+x^4+x ^3-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-36*(n-2)*(2*n-13)*a(n-2)+3*(5* n-14)*(n-3)*a(n-3)-24*(n-4)*(5*n-24)*a(n-4)+(183*n^2-2397*n+7470)*a(n-5)+(215*n ^2-2021*n+4170)*a(n-6)+(110*n^2-1166*n+2604)*a(n-7)+(-121*n^2+2851*n-14178)*a(n -8)+(-387*n^2+4119*n-5346)*a(n-9)+(-234*n^2+792*n+10944)*a(n-10)+(27*n^2-2223*n +17838)*a(n-11)+(32*n^2+1798*n-26328)*a(n-12)+(-150*n^2+8244*n-79008)*a(n-13)+( -158*n^2+5996*n-50820)*a(n-14)+(50*n^2-1748*n+14976)*a(n-15)+(487*n^2-14719*n+ 110934)*a(n-16)+(626*n^2-19226*n+146940)*a(n-17)+(314*n^2-9914*n+77652)*a(n-18) +28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 1, a(7) = 3, a(8) = 8, a(9) = 19, a(10) = 52, a(11) = 158, a(12) = 499, a(13) = 1627, a(14) = 5456, a(15) = 18676, a(16) = 64930, a(17) = 228601, a(18) = 813281, a(19) = 2918825}, [0, 0, 0, 1, 1, 1, 3, 8, 19, 52, 158, 499, 1627, 5456, 18676, 64930, 228601, 813281, 2918825, 10554237, 38411677, 140594417, 517195874, 1911112969, 7090255313, 26400453569, 98625407049, 369545335504, 1388474709192, 5230014988653, 19745919846427, 74711197218639, 283243895627731, 1075825111380766, 4093312275109833, 15599522107493688, 59539706539265298, 227573082043381690, 870998287825818309, 3337816720437957050, 12806363314721541397, 49190266284297655025, 189145781713970208343, 728038575737966121276, 2804983310739416598138, 10816926278717983926421, 41749969607795273425127, 161275910250205719155398, 623487042196540141847268, 2412207168248290149862600], 213719912673228609254981328540895271839301562661249\ 1136172821472851464159220113002813111625687272265979200327197901381343588654830\ 6341276000054587890659331807991192072966657766088500361655670701042696058377400\ 5105336671991675155775926987257158889029624227814645403238639468079545598345380\ 7033195026959492244379589590870652433070061694220821893745679815116590872291396\ 8408385185640802257908948578996227474398622718948841309145928727858316737020066\ 7351846089680586495957354705996045586690273123805135417607389993060150344368036\ 0354451186034807981090473620098473556973921345625126742962587412294749] ---------------------------- (A,B)= , {1, 2, 3}, {2, 3, 5} [P^2*x^8+2*P^2*x^7+P^2*x^6-2*P*x^7+3*P^2*x^5-2*P*x^6+P^2*x^4-3*P*x^5+x^6-P^2*x^ 3-4*P*x^4+2*P^2*x^2+2*P*x^3+3*x^4-3*P^2*x-4*P*x^2-x^3+P^2+6*P*x+2*x^2-2*P-3*x+1 , (C*x^2+x^3+x-1)/(x^4+C*x^2+x^3+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-\ 1)-8*(n-2)*(46*n-309)*a(n-2)+(n-3)*(971*n-7192)*a(n-3)+(-1393*n^2+16655*n-44352 )*a(n-4)+(1231*n^2-16439*n+51672)*a(n-5)+(-797*n^2+12643*n-48192)*a(n-6)+(94*n^ 2-4664*n+29592)*a(n-7)+(479*n^2-5017*n+8928)*a(n-8)+(-350*n^2+3736*n-5808)*a(n-\ 9)+(280*n^2-3116*n+1680)*a(n-10)+(-28*n^2+1154*n-5568)*a(n-11)+(-134*n^2+2830*n -16248)*a(n-12)-2*(n-9)*(19*n-296)*a(n-13)+(-10*n^2-298*n+5664)*a(n-14)-4*(n+12 )*(n-14)*a(n-15)+6*(7*n-103)*(n-16)*a(n-16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1 ) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 12, a (9) = 29, a(10) = 76, a(11) = 210, a(12) = 607, a(13) = 1831, a(14) = 5732, a( 15) = 18507, a(16) = 61301, a(17) = 207364}, [0, 0, 0, 1, 1, 2, 5, 12, 29, 76, 210, 607, 1831, 5732, 18507, 61301, 207364, 713681, 2491558, 8802293, 31409220, 113032482, 409745015, 1494751324, 5483117231, 20211955248, 74830301801, 278124036194, 1037348483476, 3881443246388, 14565354677419, 54802591212478, 206699600523402, 781365440281169, 2959863816386301, 11233813751718002, 42713242138074975, 162676748618558341, 620538875468630600, 2370557441023163501, 9068412837967387884, 34735709511327365703, 133214954768910024303, 511484209794973949193, 1966015110312524264422, 7564703648427218515606, 29135631376191104634289, 112321559687205855768243, 433399376636420949956863, 1673715362695830023384058], 137791808909458717281820594211478261615912101553245\ 4470641686408475230357475167276898539841844260189414052534444307725776652861291\ 7607527705494840789226062708990032212923595324402835490537041705467556532275083\ 6516232987739345368792395586278363806188797354775720432498736344655967453703194\ 3863297386667687537357874929697365916778362266831794371851616127335827841441429\ 2419736214456241329109895851609763603345623974778309057143052182838483463190721\ 5797232184687466891736793882494900919029092732872562273552327863413487507008355\ 6972134886409718641944779436766171726966690089956654572996219057074168] ---------------------------- (A,B)= , {1, 2, 3}, {2, 4, 5} [P^2*x^11+4*P^2*x^10+8*P^2*x^9-2*P*x^10+11*P^2*x^8-6*P*x^9+11*P^2*x^7-12*P*x^8+ x^9+11*P^2*x^6-16*P*x^7+2*x^8+6*P^2*x^5-16*P*x^6+5*x^7-P^2*x^4-13*P*x^5+5*x^6+P ^2*x^3+7*x^5-2*P^2*x^2-2*P*x^3+x^4-2*P^2*x+4*P*x^2+x^3+P^2+4*P*x-2*x^2-2*P-2*x+ 1, ((x^5+x^3)*C+x^4+x^3+x^2+x-1)/((x^6+x^5+x^3)*C+x^5+2*x^4+x^3+x^2+x-1), {-5*n *(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-240*(n-2)*(n-7)*a(n-2)+15*(n-3)*(19*n-160)*a( n-3)+(305*n^2-3205*n+7920)*a(n-4)+(-710*n^2+8950*n-26760)*a(n-5)+(326*n^2-2398* n+1812)*a(n-6)+(-411*n^2+5619*n-18384)*a(n-7)+(-689*n^2+6385*n-6744)*a(n-8)+( 991*n^2-20963*n+108876)*a(n-9)+(876*n^2-16548*n+73968)*a(n-10)+(831*n^2-10047*n +4632)*a(n-11)+(491*n^2+3587*n-108228)*a(n-12)+(-384*n^2+23706*n-227832)*a(n-13 )+(-470*n^2+16978*n-131688)*a(n-14)+(548*n^2-23038*n+222264)*a(n-15)+(2247*n^2-\ 80493*n+705924)*a(n-16)+(3804*n^2-134124*n+1176648)*a(n-17)+(4299*n^2-151143*n+ 1328004)*a(n-18)+(3720*n^2-131904*n+1168944)*a(n-19)+(2524*n^2-91700*n+830568)* a(n-20)+(1251*n^2-46761*n+434244)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*( 2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a (6) = 4, a(7) = 9, a(8) = 22, a(9) = 54, a(10) = 135, a(11) = 349, a(12) = 937, a(13) = 2615, a(14) = 7591, a(15) = 22900, a(16) = 71595, a(17) = 231044, a(18) = 766131, a(19) = 2598780, a(20) = 8981454, a(21) = 31517463, a(22) = 111988628 , a(23) = 402024458}, [0, 0, 0, 1, 2, 4, 9, 22, 54, 135, 349, 937, 2615, 7591, 22900, 71595, 231044, 766131, 2598780, 8981454, 31517463, 111988628, 402024458, 1455563534, 5307851829, 19473842891, 71822986130, 266110337836, 989943040394, 3695858642451, 13842568559729, 51997131348741, 195834357019789, 739344394399125 , 2797484887123540, 10606623608768288, 40291112484380370, 153322443475781608, 584405829866677699, 2230945741999763821, 8528783222788535047, 32649059766396559429, 125142618209506540471, 480240991212534226245, 1845031644061542450478, 7095983087996842576882, 27318771490790703861523, 105275467203805134999330, 406059695618181975311143, 1567581369154154813120523], 1275695035135815350661839211440323095184732336222494141070067840156947043188558\ 1547387345806341875958673865787780171270728406905108863242080248670943597012649\ 1509975342095344195434471559736302435236792248426256788481199544528783822300655\ 5898733537346594274672279822774746568824794254543146672643553855686414858425775\ 0547295354652283823918504378414307733483214119370510210821695073988759329527734\ 3323334756624806425911217282088102788622800416533211585668377006171287625623329\ 9365476133401942171260301246646217953215494244183705903406907948828196692427042\ 234553421236069076910330384372229243020906] ---------------------------- (A,B)= , {1, 2, 3}, {3, 4, 5} [P^2*x^11+4*P^2*x^10+10*P^2*x^9-2*P*x^10+15*P^2*x^8-8*P*x^9+16*P^2*x^7-18*P*x^8 +x^9+11*P^2*x^6-24*P*x^7+4*x^8+2*P^2*x^5-20*P*x^6+8*x^7-4*P^2*x^4-7*P*x^5+9*x^6 -5*P^2*x^3+6*P*x^4+5*x^5-2*P^2*x^2+10*P*x^3-2*x^4+4*P*x^2-5*x^3+P^2-2*x^2-2*P+1 , ((x^5+x^4)*C+x^4+2*x^3+x^2-1)/((x^6+x^5+x^4)*C+x^5+2*x^4+2*x^3+x^2-1), {-5*n* (n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-72*(n-2)*(n-8)*a(n-2)-(n-3)*(101*n-736)*a(n-\ 3)+(-n^2-427*n+1704)*a(n-4)+(486*n^2-6798*n+22056)*a(n-5)+(606*n^2-7482*n+22620 )*a(n-6)+(-143*n^2+5749*n-33792)*a(n-7)+(-1578*n^2+27534*n-118080)*a(n-8)+(-\ 2035*n^2+29339*n-97932)*a(n-9)+(-556*n^2-3976*n+91980)*a(n-10)+(1696*n^2-43958* n+265608)*a(n-11)+(2536*n^2-42506*n+137364)*a(n-12)+(1127*n^2+9353*n-302820)*a( n-13)+(-444*n^2+48984*n-572964)*a(n-14)+(211*n^2+9835*n-172872)*a(n-15)+(3446*n ^2-110620*n+896052)*a(n-16)+(6923*n^2-235237*n+1998060)*a(n-17)+(8195*n^2-\ 284119*n+2461980)*a(n-18)+(6755*n^2-238987*n+2111184)*a(n-19)+(4026*n^2-145926* n+1317888)*a(n-20)+(1709*n^2-63619*n+588420)*a(n-21)+6*(79*n-1364)*(n-21)*a(n-\ 22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5 ) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 19, a(10) = 44, a(11) = 109, a(12) = 290, a(13) = 824, a(14) = 2486, a(15) = 7870, a(16) = 25858, a(17) = 87376, a (18) = 301550, a(19) = 1057586, a(20) = 3755947, a(21) = 13473469, a(22) = 48731785, a(23) = 177477347}, [0, 0, 0, 1, 1, 2, 4, 9, 19, 44, 109, 290, 824, 2486, 7870, 25858, 87376, 301550, 1057586, 3755947, 13473469, 48731785, 177477347, 650185827, 2394197359, 8856113906, 32890478728, 122591733081, 458421405642, 1719302593544, 6465651293182, 24375190890124, 92103202078162, 348752638933036, 1323152326757351, 5029124580867584, 19147492651773227, 73016405293293033, 278852570299500231, 1066436959395561113, 4083816783753025250 , 15657958696381410673, 60105184147963733049, 230977210949124900415, 888549140968512870873, 3421570977797869635696, 13188028199845414838846, 50877341140435322434792, 196444838222934885281390, 759121444086849938162265], 6410078198985240566387768399796354222285165088424444962126665712886654964257531\ 4219956483554579359607164856046916242460026873227709866825206645357021207228725\ 9527436079329127954714149371855057960157773849179248588748791778642218421541844\ 7464769545829836256301195759487711895018003359245424180687328119821591001836016\ 4732530106794100709784824548767189338058982826058014905267713863223141659921690\ 2421599293233830978130100638468500608974844602192723673213445840677595561027055\ 4582797094950391991120153447173862623933246180150506719069102594247806050182977\ 00673657226586618803885118060818667723861] ---------------------------- (A,B)= , {1, 2, 3}, {1, 2, 3, 4} [P^2*x^9+2*P^2*x^8-3*P^2*x^4+3*P*x^4+P^2-2*P+1, -1/(C*x^5+x^4-1), {-4*n*(n-4)*a (n)+2*(n-1)*(17*n-90)*a(n-1)-36*(n-2)*(2*n-13)*a(n-2)+12*n*(n-4)*a(n-4)+(-105*n ^2+699*n-810)*a(n-5)+(228*n^2-2082*n+4068)*a(n-6)-8*n*(n-4)*a(n-8)+(73*n^2-583* n+1170)*a(n-9)+(-146*n^2+1748*n-5472)*a(n-10)-36*(n-2)*(2*n-13)*a(n-11)-6*(n-10 )*(n-9)*a(n-13)+3*(n-10)*(7*n-75)*a(n-14)+6*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 16, a(10) = 45, a(11) = 138, a(12) = 445, a(13) = 1475, a(14) = 4994, a(15) = 17205}, [0, 0, 0, 1, 1, 1, 2, 6, 16, 45, 138, 445, 1475, 4994, 17205, 60107, 212399, 757776, 2725734, 9874138, 35991472, 131906655, 485776498, 1796748185, 6671609931, 24860259034, 92933683890, 348427384195, 1309837120035, 4936227373772, 18645050664171, 70574753795721, 267662323142418, 1016994506644685, 3870710926458003, 14755570512161792, 56334083744851187, 215375931640309586, 824513948600402659, 3160392411885531025, 12128194737694926496, 46594630468206239334, 179198646216448348686, 689873167113681611878, 2658384202751575024142, 10253215397095491381663, 39580161446724947890394, 152915953407654025031625, 591247855419364142776449, 2287772182812860439993545], 203716570320135223524860341290350032993797007667074\ 6223558047430109728939459551805650932405002130893976067747476742145546067976035\ 0063180267644109797745909545013451169205486990691542729190785389711831389161137\ 8249292940999936895701920707179482250714107485940337515572353361244427302726466\ 8348495322943698473517351965763197112029445385506101943662801946029256656138075\ 5436468967444234928871053590582459996463120715087087123423966117227852832412418\ 8264028025339944382680792887844480495510906377067460889672875801576157899837095\ 1709411471502581933129534004282893038458349502297861037668786504888691] ---------------------------- (A,B)= , {1, 2, 3}, {1, 2, 3, 5} [P^2*x^8+3*P^2*x^5-2*P^2*x^4-3*P*x^5+P^2*x^3+2*P*x^4+2*P^2*x^2-2*P*x^3-3*P^2*x-\ 4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/(x^4+C*x^2+x-1), {5*n*(n-5)* a(n)-3*(n-1)*(23*n-136)*a(n-1)+8*(n-2)*(46*n-309)*a(n-2)-33*(n-3)*(29*n-216)*a( n-3)+(1219*n^2-14969*n+40392)*a(n-4)+(-442*n^2+7238*n-25392)*a(n-5)+(-811*n^2+ 9011*n-23844)*a(n-6)+(1406*n^2-17926*n+54972)*a(n-7)+(-1019*n^2+14035*n-45912)* a(n-8)+(122*n^2-2008*n+6852)*a(n-9)+(412*n^2-6218*n+24720)*a(n-10)+(-371*n^2+ 5707*n-22476)*a(n-11)+(129*n^2-2307*n+10536)*a(n-12)+(50*n^2-934*n+4296)*a(n-13 )+(-27*n^2+585*n-3156)*a(n-14)+6*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 10, a(9) = 24, a(10 ) = 63, a(11) = 175, a(12) = 514, a(13) = 1575, a(14) = 5004, a(15) = 16367}, [ 0, 0, 0, 1, 1, 2, 4, 10, 24, 63, 175, 514, 1575, 5004, 16367, 54807, 187053, 648410, 2276764, 8080858, 28943591, 104480620, 379710541, 1388142109, 5101245370, 18833343828, 69819368113, 259801806690, 970002074488, 3632745860221 , 13643137020650, 51370027706104, 193880111616331, 733341746319645, 2779455421764061, 10554340005672434, 40148083604436306, 152971590669178263, 583745637672781390, 2230808633943628683, 8536687797803685247, 32709264462490198440, 125480210530457602437, 481919103670458667346, 1852853798828118447253, 7131025514830372676326, 27471617316838092429310, 105929543801045458345963, 408819264058562226370864, 1579097987218468262891849], 1309093051279893975858305848955792057027373444432689396605526182708142095365386\ 4027829827240294289996856277087048754975800340216461390061158025125481760571067\ 7078310594715084356177473542949996342398411780503437347879828649871328453584366\ 2843636942032708514331371629084120018799939173638157610599465586621675665789648\ 9434535074457199262531818350547888027442732505660148454996899547678302366854144\ 3176121145022543702058800448714851686731808561923244143394001193047601411303109\ 4735848330364967869983729327424375510101842310800156744316794538994978646014823\ 466598415536347459551342460033208616917090] ---------------------------- (A,B)= , {1, 2, 3}, {1, 2, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+3*P^2*x^8+4*P^2*x^7-2*P*x^8+6*P^2*x^6-4*P*x^7-6* P*x^6-P*x^5+3*P^2*x^3-2*P*x^4+x^5-2*P^2*x^2-6*P*x^3+2*x^4-2*P^2*x+4*P*x^2+3*x^3 +P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/((x^6+x^3)*C+x^5+x^4+x^2+x-1), {-5* n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-240*(n-2)*(n-7)*a(n-2)+(n-3)*(271*n-2336)*a( n-3)+(443*n^2-4603*n+11304)*a(n-4)+(-1062*n^2+13686*n-41640)*a(n-5)+(98*n^2-\ 1348*n+3720)*a(n-6)+(1017*n^2-14379*n+51696)*a(n-7)+(-970*n^2+11798*n-32256)*a( n-8)+(55*n^2-1775*n+10536)*a(n-9)+(960*n^2-14886*n+54000)*a(n-10)+(-232*n^2+ 6734*n-50424)*a(n-11)+(-59*n^2+2689*n-22848)*a(n-12)+(119*n^2-1963*n+12480)*a(n -13)+(-52*n^2+3146*n-25104)*a(n-14)+(-17*n^2-449*n+10200)*a(n-15)+(137*n^2-6823 *n+67392)*a(n-16)+(179*n^2-6259*n+53352)*a(n-17)+(178*n^2-5828*n+47520)*a(n-18) +9*(n-16)*(19*n-311)*a(n-19)+2*(53*n-828)*(n-17)*a(n-20)+20*(2*n-31)*(n-18)*a(n -21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 18, a(9) = 42, a(10) = 102, a(11) = 259, a(12) = 693, a(13) = 1954, a(14 ) = 5787, a(15) = 17900, a(16) = 57440, a(17) = 189943, a(18) = 643408, a(19) = 2221601, a(20) = 7788989, a(21) = 27646692}, [0, 0, 0, 1, 2, 4, 8, 18, 42, 102, 259, 693, 1954, 5787, 17900, 57440, 189943, 643408, 2221601, 7788989, 27646692, 99123121, 358372369, 1304829836, 4779611263, 17599632340, 65104196257, 241814553022, 901440094837, 3371440276761, 12646930929817, 47569843462156, 179372685971609, 677910807962429, 2567464799813713, 9742824522566067, 37038537341444805, 141045020046719504, 537958156322832819, 2054861532629015707, 7859963887749670118, 30104168314215019188, 115443139166486406957, 443215695753245411285, 1703492450682670881909, 6554176612041790610045, 25242109570941756687891, 97306362472742946684394, 375443856510479779614024, 1449834622037603982593514], 119237667033622919059451840595673511187251799765603\ 8235645716003665543838416247736826775473401540187458071858994954340623866719011\ 4277541870623352640672230563682244601117930739886928954817349876614825941676159\ 6842586006158727045323510338458871564146365419271063082616271441752439433797409\ 2082401037629271909085006526688005345429576194018673258695944249743602036177265\ 8890216208487444290815133188410825033023892690339270581131624816355789434181502\ 9010129435122427846172023195326319671793227817939174563673626048306279432775842\ 7441087487192250770856287127074288223658144724947774377118206894638450] ---------------------------- (A,B)= , {1, 2, 3}, {1, 3, 4, 5} [P^2*x^11+2*P^2*x^10+5*P^2*x^9+5*P^2*x^8-2*P*x^9+7*P^2*x^7-4*P*x^8+4*P^2*x^6-8* P*x^7-6*P*x^6+x^7-P^2*x^4-3*P*x^5+2*x^6-3*P^2*x^3+3*x^5-2*P^2*x^2+6*P*x^3+x^4+4 *P*x^2-3*x^3+P^2-2*x^2-2*P+1, (C*x^4+x^3+x^2-1)/((x^6+x^4)*C+x^5+x^4+x^3+x^2-1) , {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-72*(n-2)*(n-8)*a(n-2)-5*(n-3)*(23*n-\ 160)*a(n-3)+(101*n^2-1501*n+4368)*a(n-4)+(416*n^2-5440*n+17016)*a(n-5)+(90*n^2-\ 924*n+1848)*a(n-6)+(-257*n^2+5881*n-29064)*a(n-7)+(-515*n^2+9595*n-42696)*a(n-8 )+(-611*n^2+6295*n-7488)*a(n-9)+(-138*n^2-1398*n+27048)*a(n-10)+(369*n^2-9993*n +57888)*a(n-11)+(560*n^2-8470*n+16536)*a(n-12)+(352*n^2-1472*n-38328)*a(n-13)+( 224*n^2+1616*n-54768)*a(n-14)+(204*n^2-2802*n+6072)*a(n-15)+(484*n^2-14510*n+ 112392)*a(n-16)+(686*n^2-23530*n+200856)*a(n-17)+(848*n^2-28978*n+247224)*a(n-\ 18)+(616*n^2-21116*n+180768)*a(n-19)+(436*n^2-15212*n+132384)*a(n-20)+18*(9*n-\ 148)*(n-19)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 3, a(8) = 7, a(9) = 14, a(10) = 33, a( 11) = 82, a(12) = 227, a(13) = 670, a(14) = 2097, a(15) = 6832, a(16) = 22942, a(17) = 78739, a(18) = 274755, a(19) = 971157, a(20) = 3468406, a(21) = 12493474, a(22) = 45328745}, [0, 0, 0, 1, 1, 2, 3, 7, 14, 33, 82, 227, 670, 2097, 6832, 22942, 78739, 274755, 971157, 3468406, 12493474, 45328745, 165486351, 607441091, 2240383522, 8298298491, 30854180970, 115116156917, 430841981497, 1617112114674, 6085536863608, 22956375736116, 86790682730910, 328803908255034, 1248048214555297, 4745689711532104, 18075473146223864, 68953467734067952, 263424846647754674, 1007751461726724393, 3860214720857054884 , 14804680249399953197, 56844310479242910210, 218498563639014980000, 840734943782162895457, 3238140917336170493772, 12483530573275083391895, 48168663053568202661076, 186019752409689473034359, 718958670506762372544314], 6108976370244463546633394896020669088858746695547613485516976681746930229353566\ 3306127383159986747325997921455624162794487978140073142609976032299100459142662\ 2165368871520377718819868339370402710333781362693103394057833944333602595938237\ 0881000565849573596311816554369989794169145943130566637456469209590112218711794\ 7911185719744691919694698010156015484610066076101043851300530578580358066688805\ 6151714253938537638469749712055919772327264096717166236262856961743923966828329\ 5427051223990293262875489499795956354349274112873387948304997958146686278513025\ 56861041527541726866565781486604769412134] ---------------------------- (A,B)= , {1, 2, 3}, {2, 3, 4, 5} [P^2*x^11+4*P^2*x^10+8*P^2*x^9-2*P*x^10+9*P^2*x^8-6*P*x^9+5*P^2*x^7-10*P*x^8+x^ 9+P^2*x^6-8*P*x^7+2*x^8-3*P^2*x^5-2*P*x^6+3*x^7-5*P^2*x^4+3*P*x^5+x^6-2*P^2*x^3 +8*P*x^4+4*P*x^3-3*x^4-2*x^3+P^2-2*P+1, (C*x^5+x^4+x^3-1)/((x^6+x^5)*C+x^5+2*x^ 4+x^3-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+2*( n-3)*(7*n-32)*a(n-3)+(-91*n^2+1007*n-2592)*a(n-4)+(21*n^2-921*n+4296)*a(n-5)+( 395*n^2-5143*n+16200)*a(n-6)+(339*n^2-3801*n+9600)*a(n-7)+(112*n^2-572*n-2616)* a(n-8)+(-392*n^2+7684*n-35496)*a(n-9)+(-991*n^2+14525*n-46788)*a(n-10)+(-781*n^ 2+8135*n-3168)*a(n-11)+(-73*n^2-4897*n+59184)*a(n-12)+(395*n^2-7765*n+28536)*a( n-13)+(250*n^2+5458*n-120516)*a(n-14)+(-300*n^2+23784*n-279228)*a(n-15)+(-414*n ^2+21864*n-234852)*a(n-16)+(357*n^2-10167*n+73212)*a(n-17)+(1623*n^2-56331*n+ 488796)*a(n-18)+(2409*n^2-85665*n+760296)*a(n-19)+(2146*n^2-78410*n+713520)*a(n -20)+(1211*n^2-45421*n+423084)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*(2*n -35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 10, a(10) = 22, a(11) = 58, a(12) = 168, a(13) = 514, a(14) = 1650, a(15) = 5488, a(16) = 18700, a(17) = 64853, a(18) = 228022 , a(19) = 810593, a(20) = 2907816, a(21) = 10511292, a(22) = 38247693, a(23) = 139974284}, [0, 0, 0, 1, 1, 1, 2, 5, 10, 22, 58, 168, 514, 1650, 5488, 18700, 64853, 228022, 810593, 2907816, 10511292, 38247693, 139974284, 514860538, 1902330902, 7057229238, 26276154598, 98157014804, 367777760951, 1381794102028, 5204725555088, 19650036206942, 74347098661188, 281859235738941, 1070551668902373, 4073200620589997, 15522718998751708, 59246034752329157, 226448804274585270, 866689160443374158, 3321282388545962421, 12742853051421100250, 48946069171699818229, 188205935146415019236, 724418024136976870633, 2791023600441906594845, 10763056467159622233661, 41541920278695226221100, 160471783901632177616494, 620376719178914281347585], 5324232041394288185049044277176282276230510748170480420149480912833602283878648\ 6235246953849379124503761929076307208106740873733403201655902929416348599616364\ 2086427337474724423078557909261730300844579793567743968995841583545131549199404\ 2237254905891929986847690086578916060141593129903762646677751497795563020889255\ 9702245837202495762940830394063615038684987580839812334277770894109427869027284\ 2159367834237213856545780495218886005902761903396974672921148973664802613377808\ 8019262182683364915823812229158823663442906355316440196199496051437870967089363\ 86144945764626329801683964837350294635428] ---------------------------- (A,B)= , {1, 2, 3}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9+P^2*x^8-3*P^2*x^5-2*P^2*x^4+3*P*x^5+2*P*x^4+P^2-\ 2*P+1, -1/(C*x^6+x^5+x^4-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)* (2*n-15)*a(n-2)+(11*n^2-67*n+72)*a(n-4)+(-79*n^2+731*n-1464)*a(n-5)+(71*n^2-\ 1201*n+4212)*a(n-6)+(276*n^2-2802*n+5760)*a(n-7)+(-7*n^2+59*n-144)*a(n-8)+(44*n ^2-568*n+1920)*a(n-9)+(16*n^2+280*n-2448)*a(n-10)+(-272*n^2+3850*n-14124)*a(n-\ 11)+(-169*n^2+2231*n-7704)*a(n-12)+(-95*n^2+979*n-2040)*a(n-13)+(-7*n^2+101*n-\ 300)*a(n-14)+(56*n^2-1264*n+7092)*a(n-15)+2*(34*n-383)*(n-12)*a(n-16)+(45*n^2-\ 1035*n+5964)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 7, a(10) = 17, a(11 ) = 46, a(12) = 140, a(13) = 448, a(14) = 1479, a(15) = 4998, a(16) = 17205, a( 17) = 60083, a(18) = 212269}, [0, 0, 0, 1, 1, 1, 1, 3, 7, 17, 46, 140, 448, 1479, 4998, 17205, 60083, 212269, 757219, 2723525, 9865649, 35959308, 131785564 , 485321802, 1795041890, 6665204057, 24836184675, 92843084133, 348085899905, 1308547920584, 4931352264662, 18626585331684, 70504701430481, 267396152532348, 1015981657740016, 3866851252461496, 14740842245357212, 56277807958431097, 215160636174409829, 823689303804007061, 3157230177445524733, 12116055433733635501, 46547981214742325607, 179019203209905768288, 689182259240808116959, 2655721593657438788280, 10242945377772790812697, 39540515794297993016683, 152762786436027520402811, 590655659272824142381826], 5095581936562925692903894522381371398338579241226917480414096983588052748533505\ 4747237130829325664251935448183858084299297016200245134061396979629565178795249\ 7741939582946418237742170426830350776206608637487930889048826577432907176680340\ 2706155643970201691357180443389446540250441142646063283701557291497702123712716\ 0873735054646418593308401356082738936887177872701339729316219948655793729328145\ 5791948293744924002613207789554090853713207848039507931230519587273381662000903\ 3224686446256918850239095489882127448783428752963037020581004447545560863651560\ 56421557775920964212071834419550953132417] ---------------------------- (A,B)= , {1, 2, 4}, {} [P^2*x^5+2*P^2*x^4+P^2*x^3-2*P*x^4-P^2*x^2-2*P*x^3-P^2*x+P*x^2+x^3+P^2+2*P*x-2* P-x+1, (C*x+x^2-1)/(x^3+C*x+x^2-1), {-2*n*(n-2)*a(n)+3*(n-1)*(7*n-22)*a(n-1)-(n -2)*(67*n-279)*a(n-2)+(53*n^2-475*n+954)*a(n-3)+(41*n^2-181*n+30)*a(n-4)+(-44*n ^2+502*n-1308)*a(n-5)+(-27*n^2-189*n+2070)*a(n-6)+(-20*n^2+220*n-1056)*a(n-7)-6 *(n-7)*(n-46)*a(n-8)+12*(n-10)^2*a(n-9)+6*(7*n-61)*(n-10)*a(n-10)+12*(2*n-17)*( n-10)*a(n-11) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 8, a(7) = 22, a(8) = 66, a(9) = 205, a(10) = 659, a(11) = 2176}, [0, 0, 1, 1, 3, 8 , 22, 66, 205, 659, 2176, 7338, 25175, 87600, 308438, 1096911, 3934501, 14217444, 51708228, 189133701, 695297272, 2567616546, 9520266637, 35428877301, 132284362787, 495422056737, 1860573539727, 7005279613890, 26437786566157, 99992915080063, 378956804646499, 1438883017044266, 5472952555956802, 20851091190855195, 79561319082442868, 304018865290849340, 1163288347203209907, 4456856253381250449, 17095950391798323577, 65652723572933964935, 252395084938660470309, 971300228995806201252, 3741520875601046917843, 14425943213758424529359, 55670150878817854299637, 215013056879130310699040, 831103042156988533520420, 3214970394931431167196982, 12445622846771068646936049 , 48212567692099479691344384], 451382275546012666007407818937034126166033681785\ 7156196805239383541327668765963201036446242767162378729335963151166140131240054\ 5712820015156118841383477070595454198940423764258796637926208092052388346115603\ 8884643142368985562802064954467796368781104049709070325684127353021038010178619\ 4509537067113662456127527366723479270300436904011211442668362293097746750575688\ 8355026177880796898706729984770811849711495821631669256445757269550209209391052\ 3800548340051436167123060538596806656341882820415509882685213479256384506512944\ 29429776485825802020259605443993836237101230129896285528341200209777585695] ---------------------------- (A,B)= , {1, 2, 4}, {1} [P^2*x^5-P^2*x^2+P*x^2+P^2-2*P+1, (C*x-1)/(x^3+C*x-1), {-2*n*(n-2)*a(n)+6*(n-1) *(3*n-10)*a(n-1)-2*(n-2)*(19*n-90)*a(n-2)+(-19*n^2+89*n-90)*a(n-3)+(44*n^2-310* n+516)*a(n-4)-(n+10)*(n-3)*a(n-5)+(14*n^2-28*n-96)*a(n-6)-20*(n-2)*(2*n-9)*a(n-\ 7)-(n-6)*(n-5)*a(n-8)+2*(n-6)*(2*n-13)*a(n-9) = 0, a(1) = 0, a(2) = 0, a(3) = 1 , a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 16, a(8) = 47, a(9) = 147}, [0, 0, 1, 1, 2, 6, 16, 47, 147, 474, 1571, 5320, 18320, 63959, 225858, 805288, 2894978, 10481813, 38188689, 139900745, 515022101, 1904268957, 7068660708, 26332347288, 98411323603, 368876938837, 1386411201970, 5223754679581, 19727431926834, 74658894271982, 283106506738357, 1075514699721380, 4092869254151080, 15600423307021455, 59552275236927296, 227653447212526208, 871420802686936680, 3339846072865676390, 12815618765240368717, 49231098122250491458, 189321828105034543909, 728785049049539355168, 2808109024308660976339, 10829888021922197120471, 41803307838090854444121, 161494045398902514237262, 624374642382038008176993, 2415803790451841926514643, 9353873465893289201102842, 36242774239804797958500012], 34226634653202472637875921091411244688655320614640\ 7070406668413278548522764793980587477943083506233385517164158425958107759068650\ 5479346665061038797265714766247988442470318375758813360907912625076779274375374\ 0653762782514874846475376727134296023957005116353524562171608314807124522699060\ 0716588438018589572523177775112280595809724655569505565275418724930273742793034\ 3929352123156195613442524923025553453213101779081413927976856585717838635930093\ 7514274901469687126544828629788069831393613631203479993974040836646483321969948\ 516670526338922630236876610493268839119807893482794616985587252996313030] ---------------------------- (A,B)= , {1, 2, 4}, {2} [P^2*x^5+2*P^2*x^4-P^2*x^3-2*P*x^4-3*P^2*x^2+5*P*x^2+x^3+2*P^2-2*x^2-4*P+2, (C* x+x^2-x-1)/(x^3+C*x+x^2-x-1), {-8*n*(n-2)*a(n)+24*(n-1)*(3*n-10)*a(n-1)-4*(n-2) *(37*n-180)*a(n-2)+(-114*n^2+570*n-660)*a(n-3)+(240*n^2-1944*n+3792)*a(n-4)+( 135*n^2-537*n-390)*a(n-5)-(137*n+47)*(n-6)*a(n-6)+(-70*n^2+230*n+804)*a(n-7)+(-\ 19*n^2+605*n-3618)*a(n-8)-6*(5*n-38)*(n-13)*a(n-9)+(34*n^2-662*n+3180)*a(n-10)+ 12*(2*n-17)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 2, a(6) = 3, a(7) = 9, a(8) = 26, a(9) = 79, a(10) = 254, a(11) = 836}, [0, 0, 1, 0, 2, 3, 9, 26, 79, 254, 836, 2821, 9687, 33749, 118984, 423678, 1521473, 5503839, 20037025, 73355720, 269893495, 997419112, 3700789368, 13780834693, 51484604073, 192919087689, 724869898194, 2730462904919, 10309065905792, 39006243374752, 147881476744289, 561692108486692, 2137144290491710, 8144636144387989, 31086210330073345, 118817958721090557, 454755664297434338, 1742699582410689295, 6686283140334656192, 25682468304189495064, 98753541251552700019, 380109452476880064423, 1464477434236129851131, 5647474635285688690494, 21797391058141209340977, 84200704049486617377224, 325515351540878435017390, 1259378965289520813747125, 4875916606726863602551633, 18891113602721686659296415], 17791262289374743356794884323407442721955327301849\ 0656997391544976149086188122666118820714624045850549053617079563237898312575448\ 4463292360153580194488743234216184875384145420513243061385548496819437011325636\ 1918433844638705720565697207154946336229624814213827344600282037373624099711070\ 4938741427229662948866034513710355174214923387320819072829443143035235723219757\ 4861100510003981453535888139793242238155035597755895026971771538549296181533763\ 2725486228768536281848593220577597670803792433570894147964934283714731417875716\ 613528213587230562917817286260500788834029374543020571305188061866633967] ---------------------------- (A,B)= , {1, 2, 4}, {3} [P^2*x^8+P^2*x^6-2*P*x^7+5*P^2*x^4+x^6+P^2*x^3-4*P*x^4+P^2*x^2-5*P*x^3-x^4-3*P^ 2*x-2*P*x^2+4*x^3+P^2+6*P*x+x^2-2*P-3*x+1, ((x^3+x^2)*C-x^3+x-1)/((x^4+x^3+x^2) *C-x^4+x-1), {-3*n*(n-3)*a(n)+(n-1)*(41*n-160)*a(n-1)-30*(n-2)*(7*n-33)*a(n-2)+ 12*(n-3)*(41*n-225)*a(n-3)-3*(n-4)*(167*n-1029)*a(n-4)+(198*n^2-1488*n+2580)*a( n-5)+(-333*n^2+1335*n+3444)*a(n-6)+(589*n^2-5451*n+10448)*a(n-7)+(-257*n^2+3279 *n-12364)*a(n-8)+(168*n^2-3240*n+20880)*a(n-9)+(-242*n^2+5016*n-32668)*a(n-10)+ (144*n^2-2130*n+10176)*a(n-11)+(-95*n^2+2241*n-13168)*a(n-12)+(252*n^2-7542*n+ 54336)*a(n-13)-2*(n-11)*(7*n-160)*a(n-14)+(60*n^2-1692*n+11760)*a(n-15)-6*(5*n-\ 56)*(n-15)*a(n-16)+28*(2*n-25)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1 , a(4) = 1, a(5) = 3, a(6) = 8, a(7) = 21, a(8) = 60, a(9) = 177, a(10) = 541, a(11) = 1706, a(12) = 5521, a(13) = 18269, a(14) = 61603, a(15) = 211077, a(16) = 733165, a(17) = 2576487}, [0, 0, 1, 1, 3, 8, 21, 60, 177, 541, 1706, 5521, 18269, 61603, 211077, 733165, 2576487, 9145582, 32746579, 118142389, 429068015, 1567431099, 5755825624, 21234507486, 78665869614, 292525395906, 1091494481554, 4085338215548, 15334426928927, 57708372243716, 217697008399669, 823055726795592 , 3118161721398956, 11835799206263877, 45005905246415166, 171420747344193639, 653932827949821608, 2498256113278228090, 9557334874486095830, 36609851476436663620, 140406979559450487142, 539113078001493805410, 2072262161592943349934, 7973674535251572126241, 30711320792298489004251, 118397782094358211577058, 456850555038211271928740, 1764298586215238017192716, 6818996002487747802467739, 26375665879657923384511140], 23161242735260292685122\ 3164986569836255522319062738823447351529450127615304232060249901683041252974255\ 4333898127606714828312884324596360790821295330812380128569528602270883910170016\ 0534319797490136130280074450439911232959179234282101174789485960040321298278127\ 7885697725905164577345758145903777496139403620887797281151587251818445132170442\ 1641252702963158296329718001161254945487445003882291126399410858693521054203249\ 3927222858450619894824088198118293729376153673097559013900193740728295382994967\ 3798270611615478647976407216956387451590845003226187066254733880262192358570146\ 71491351240062133386] ---------------------------- (A,B)= , {1, 2, 4}, {4} [P^2*x^6+2*P^2*x^5+4*P^2*x^4-2*P*x^5+2*P^2*x^3-5*P*x^4-6*P*x^3+x^4-3*P^2*x+4*x^ 3+P^2+6*P*x-2*P-3*x+1, (C*x^2+x^2+x-1)/(C*x^2+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+5* (n-1)*(11*n-54)*a(n-1)-9*(n-2)*(31*n-179)*a(n-2)+(607*n^2-5875*n+12150)*a(n-3)+ (-395*n^2+4727*n-12438)*a(n-4)+(-292*n^2+4132*n-13968)*a(n-5)+(-16*n^2-1874*n+ 12756)*a(n-6)+(549*n^2-7893*n+28014)*a(n-7)+144*(n-1)*(n-9)*a(n-8)+(-91*n^2+ 2839*n-16806)*a(n-9)-2*(19*n-166)*(5*n-51)*a(n-10)+(-86*n^2+1466*n-6036)*a(n-11 )+(-10*n^2+160*n-552)*a(n-12)+4*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0 , a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 7, a(7) = 17, a(8) = 44, a(9) = 117, a( 10) = 324, a(11) = 931, a(12) = 2771, a(13) = 8522}, [0, 0, 1, 1, 3, 7, 17, 44, 117, 324, 931, 2771, 8522, 26992, 87741, 291695, 988552, 3405291, 11893453, 42028846, 150008287, 539992782, 1958186408, 7146498259, 26227645340, 96730813676, 358319268667, 1332519770337, 4972840066697, 18617303020566, 69901256245816, 263148191087700, 993043199896199, 3755821891862338, 14234343324412825, 54050567032809988, 205605751753747474, 783412176866330432, 2989637378401829909, 11425559349933368101, 43724893597522874234, 167547299582381078584, 642793663215189472976, 2468891649847095008196, 9492967062184654913193, 36538167906886980496742, 140771156187248152509768, 542852312417059359306298, 2095228275818752810871310, 8093652871757245874026564] , 67514017743518278782500335283871892011357948544547827872296876229500191271312\ 6307386391855455213365715438529985831172156238248561034878181319902968497643252\ 8805472431265683781177955117943942573140936754157199613100142871950578381062175\ 3020765096313310421471348769064089642054557499263189604803342971477272943677745\ 8911258395240071193373024877574900643572069585059553929884613546545456141066087\ 3204491692298525558718625499864000713215093701130450594316148758241061837399426\ 9768494689899130731209887312056408858095332908791273980519888299865491757150393\ 62477220218120929733516715405141343569366594] ---------------------------- (A,B)= , {1, 2, 4}, {5} [P^2*x^9+4*P^2*x^8+2*P^2*x^7-2*P*x^8-5*P^2*x^6-6*P*x^7-10*P^2*x^5+4*P*x^6+x^7+2 *P^2*x^4+15*P*x^5+2*x^6+7*P^2*x^3+4*P*x^4-5*x^5+4*P^2*x^2-16*P*x^3-6*x^4-5*P^2* x-8*P*x^2+9*x^3+P^2+10*P*x+4*x^2-2*P-5*x+1, ((x^4-x^2)*C+x^3-x^2-2*x+1)/((x^5+x ^4-x^2)*C+x^4-x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)-12*(n-2)*( 50*n-329)*a(n-2)+(2011*n^2-20939*n+44688)*a(n-3)+(-2974*n^2+37046*n-100152)*a(n -4)+(126*n^2-3918*n+13872)*a(n-5)+(3420*n^2-57486*n+228924)*a(n-6)+(1293*n^2-\ 2007*n-59196)*a(n-7)+(-5883*n^2+97107*n-394704)*a(n-8)+(-1583*n^2+12277*n+22212 )*a(n-9)+(3846*n^2-71838*n+315336)*a(n-10)+(2527*n^2-35327*n+101160)*a(n-11)+(-\ 1079*n^2+20905*n-86676)*a(n-12)+(-836*n^2+6916*n+36648)*a(n-13)+(-205*n^2+4637* n-30168)*a(n-14)+(-417*n^2+15675*n-139164)*a(n-15)+(-242*n^2+7894*n-63840)*a(n-\ 16)+(225*n^2-7185*n+57240)*a(n-17)+(210*n^2-6870*n+56040)*a(n-18)+20*(2*n-31)*( n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 8, a(7) = 21, a(8) = 59, a(9) = 168, a(10) = 488, a(11) = 1444, a(12) = 4345, a(13 ) = 13292, a(14) = 41324, a(15) = 130521, a(16) = 418658, a(17) = 1363103, a(18 ) = 4502237, a(19) = 15074771}, [0, 0, 1, 1, 3, 8, 21, 59, 168, 488, 1444, 4345 , 13292, 41324, 130521, 418658, 1363103, 4502237, 15074771, 51126732, 175486580 , 609040461, 2135301270, 7556051218, 26963823444, 96954820823, 351022899018, 1278746569040, 4684355334685, 17246160849383, 63782162505784, 236854257663930, 882817611796317, 3301571978124249, 12385112377040547, 46590046386356171, 175710724291944873, 664239784278354587, 2516475329691685958, 9552788539922688330, 36330681694309293974, 138409443965890514340, 528147756287979219398, 2018350304895132584090, 7724090749439444123173, 29598531527067464470112, 113561377712323118602653, 436211992299215048800120, 1677422575090659262758542, 6457124713857772326883525], 476815184553592467700189\ 8135080311163861472161165041926634638695844901416893713060858936895710280496016\ 9958781445826946893089860387828240545960449446989013658289001677559425185663297\ 0269542884298147403607178221376831440209072739089555868444509910508378137447566\ 7363570887760286079688846835288213429413969744960384807586363266552782781378875\ 9539734037318962872218581985535004992223111540578649924404378524630590143597267\ 9911848947425143475079717830990812808529383948486753284794206227289404760042390\ 8478317348208956019411486745595572707600259485563875308017594770306165294984071\ 404565523139745610] ---------------------------- (A,B)= , {1, 2, 4}, {1, 2} [P^2*x^5-2*P^2*x^3-P^2*x^2+2*P*x^3+P^2*x+P*x^2+2*P^2-2*P*x-4*P+x+2, (C*x-x-1)/( x^3+C*x-x-1), {8*n*(n-2)*a(n)-6*(n-1)*(11*n-38)*a(n-1)+(n-2)*(101*n-531)*a(n-2) +(149*n^2-1081*n+1878)*a(n-3)+(6*n^2+150*n-588)*a(n-4)+(-156*n^2+1014*n-1212)*a (n-5)+(-69*n^2+399*n-402)*a(n-6)+(82*n^2-578*n+924)*a(n-7)+2*(n+6)*(5*n-31)*a(n -8)-2*(n-6)*(5*n-34)*a(n-9)+4*(2*n-15)*(n-8)*a(n-10) = 0, a(1) = 0, a(2) = 0, a (3) = 1, a(4) = 0, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 20, a(9) = 62, a(10) = 199}, [0, 0, 1, 0, 1, 3, 6, 20, 62, 199, 665, 2257, 7791, 27260, 96429, 344324, 1239404, 4492416, 16383023, 60068281, 221296975, 818780569, 3041140486, 11335059015, 42383068984, 158936293839, 597601129965, 2252503281404, 8509494224688, 32214689581833, 122194413331092, 464341940110760, 1767507925597449, 6738674693088858, 25729683650098238, 98378971446548768, 376653880899673595, 1443851222414387731, 5541310156272874017, 21290461734456252515, 81887017341102774798, 315267391277487676273, 1214941870293302662322, 4686238418574007911775, 18091188842222128904909, 69898262752341366608706, 270275127564373991765760, 1045854212539683201622081, 4049929956821986452747818, 15693578539597634744965182], 14886659327076937837185\ 6689148126200623695849876889247007382201150450095119638497077234987380692097822\ 3145615088438424447593746383924129902384014107796375045386190358388708737483613\ 2331261641951517013545162213783244399368886319103137562377173696506999525558809\ 6039492201923121495854977736056333454179543782944780798092847559461740476329488\ 7097437644479156953254901954944371751973190555145110694173889507892097803364882\ 4519888207756006827428848471123155312656998026620482678568614820192036439941003\ 1878509565974959194960763989544402356328076896146893172779937680156272449610828\ 21923717181768438599] ---------------------------- (A,B)= , {1, 2, 4}, {1, 3} [P^2*x^8-2*P^2*x^7+4*P^2*x^6-4*P^2*x^5-2*P*x^6+7*P^2*x^4+4*P*x^5-5*P^2*x^3-8*P* x^4+4*P^2*x^2+7*P*x^3+x^4-3*P^2*x-8*P*x^2-2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, (C*x ^2-x^2+x-1)/((x^4+x^2)*C-x^4+x^3-x^2+x-1), {-3*n*(n-3)*a(n)+(n-1)*(41*n-160)*a( n-1)-6*(n-2)*(37*n-170)*a(n-2)+15*(n-3)*(43*n-216)*a(n-3)-2*(n-4)*(608*n-3091)* a(n-4)+(1743*n^2-16653*n+39840)*a(n-5)+(-2071*n^2+19713*n-44900)*a(n-6)+(1946*n ^2-17640*n+32044)*a(n-7)+(-1354*n^2+9348*n+3184)*a(n-8)+(581*n^2+1587*n-48236)* a(n-9)+(121*n^2-11157*n+86084)*a(n-10)+(-584*n^2+16908*n-106840)*a(n-11)+(713*n ^2-17199*n+101440)*a(n-12)+(-566*n^2+12960*n-74104)*a(n-13)+3*(121*n-1385)*(n-\ 12)*a(n-14)-30*(5*n-56)*(n-13)*a(n-15)+20*(2*n-23)*(n-14)*a(n-16) = 0, a(1) = 0 , a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 15, a(8) = 41, a(9) = 121, a(10) = 370, a(11) = 1172, a(12) = 3823, a(13) = 12760, a(14) = 43398, a (15) = 149914, a(16) = 524610}, [0, 0, 1, 1, 2, 6, 15, 41, 121, 370, 1172, 3823 , 12760, 43398, 149914, 524610, 1855967, 6627407, 23855876, 86470996, 315352360 , 1156281185, 4260046219, 15762700365, 58549981971, 218244580694, 816099407556, 3060594348376, 11508712672623, 43382411607116, 163902254685251, 620537228873157 , 2353951872799751, 8945734024706778, 34054200868744435, 129841766349650457, 495797429007445607, 1895838210617710248, 7258884137208379989, 27827713969497304276, 106805706512416805120, 410386664976329790557, 1578514713954597428081, 6077672995808596046224, 23422743300861411549350, 90350368646428450082006, 348815094299943292114182, 1347772229335728061381804, 5211677405761627695755550, 20168021826433005668860731], 18044972738710658306498\ 4758442853244706791449418462889140912233387093279365566955373518605657091804910\ 4332696253798172921531626364331224624036648806484802787858911536156409088901592\ 1144856675970465884398211469423674910030002140041368108037167716259680107117957\ 7007227134420524465365267891880035100851653006439224693121003911791750169565854\ 8406370550728402206873199108581491341942476863111870368132138388128938119942179\ 4442325060302979329984011351899362648763272680157838948888369673657111290199923\ 2802914258424879219207089688117410362741346126894338622431412278888215796578403\ 89514652050844983762] ---------------------------- (A,B)= , {1, 2, 4}, {1, 4} [P^2*x^6+3*P^2*x^4-P^2*x^3-3*P*x^4+2*P^2*x^2-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^ 2-2*P-3*x+1, (C*x^2+x-1)/(C*x^2+x^3+x-1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n -1)+3*(n-2)*(97*n-553)*a(n-2)+(-756*n^2+7080*n-14424)*a(n-3)+(1055*n^2-11369*n+ 28446)*a(n-4)+(-934*n^2+10498*n-28548)*a(n-5)+(851*n^2-9263*n+24114)*a(n-6)+(-\ 777*n^2+9417*n-27750)*a(n-7)+(421*n^2-5407*n+17538)*a(n-8)+(-225*n^2+2793*n-\ 8430)*a(n-9)+(116*n^2-1898*n+7860)*a(n-10)-3*(n-10)*(n-9)*a(n-11)+6*(n-10)*(2*n -21)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a (7) = 11, a(8) = 27, a(9) = 71, a(10) = 196, a(11) = 570, a(12) = 1732}, [0, 0, 1, 1, 2, 5, 11, 27, 71, 196, 570, 1732, 5458, 17727, 59012, 200434, 692073, 2422350, 8575284, 30649041, 110441344, 400778540, 1463322748, 5371746225, 19813592823, 73393891126, 272908388009, 1018294571033, 3811460874314, 14307094850734, 53845471689909, 203138959554352, 768073690873381, 2910091262729481, 11046903992144296, 42009515207560426, 160020827233860313, 610493072943104698, 2332482336051578389, 8923828547524276587, 34185703043579505938, 131119249962326410873, 503486567298962603250, 1935450298030274359873, 7447734460264926296609, 28687426365236587398145, 110602044980174160604642, 426795025731346435484453, 1648321843243830524237183, 6371097647932480899046697], 543253535670944614363283111480304969818629432107628\ 1453343985273262485965278027352658399652576437192117570304915104689979547124098\ 9715005983487771216304685303151070721529869661211503889251240845378312254953068\ 5445219149542307142620291374453418988292046494225168248145273147582230937197804\ 9761336339788317433271349781072662434576104312268690646455454095681593850469630\ 4483186323134618283650323597697013948553080679832034668527689878630397273157303\ 9742941359643335245726293369283921769727478939099287338330552625787954002148056\ 4926201168894688226396143446667677229034681150702347972945869250268850] ---------------------------- (A,B)= , {1, 2, 4}, {1, 5} [P^2*x^9+2*P^2*x^8-3*P^2*x^7-P^2*x^6-7*P^2*x^5+2*P*x^6+8*P^2*x^4+7*P*x^5-P^2*x^ 3-8*P*x^4+6*P^2*x^2-5*P^2*x-12*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x+1, (-C*x^2-2* x+1)/((x^5-x^2)*C+x^4-x^3-2*x+1), {5*n*(n-5)*a(n)-3*(n-1)*(29*n-168)*a(n-1)+56* (n-2)*(11*n-72)*a(n-2)+(-2273*n^2+23317*n-49464)*a(n-3)+(4678*n^2-55526*n+ 146808)*a(n-4)+(-5643*n^2+73299*n-222840)*a(n-5)+(5497*n^2-69869*n+214056)*a(n-\ 6)+(-7147*n^2+93713*n-295584)*a(n-7)+(7094*n^2-105568*n+386040)*a(n-8)+(-3479*n ^2+54187*n-215424)*a(n-9)+(2892*n^2-45126*n+184488)*a(n-10)+(-2744*n^2+48064*n-\ 213744)*a(n-11)+(482*n^2-11668*n+67344)*a(n-12)+(-74*n^2+3724*n-29784)*a(n-13)+ (262*n^2-6008*n+34344)*a(n-14)+(12*n^2+84*n-2712)*a(n-15)+(-18*n^2+396*n-2112)* a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 15, a(8) = 40, a(9) = 112, a(10) = 319, a(11) = 930, a(12) = 2774, a(13) = 8450, a(14) = 26269, a(15) = 83270, a(16) = 268860, a(17) = 883176}, [0, 0, 1, 1, 2, 6, 15, 40, 112, 319, 930, 2774, 8450, 26269, 83270, 268860, 883176, 2947814, 9984090, 34268333, 119038799, 417983159, 1481855049, 5298772108, 19092336854, 69261875211, 252790363584, 927634854427, 3420569748011 , 12668074812829, 47100654009684, 175745657187789, 657871966149976, 2469862272974538, 9297567365133235, 35086082700611127, 132704087599670109, 502970070515961916, 1910034776639280195, 7266440786004113185, 27690436378309634058, 105685919575377132082, 403961634336849465945, 1546177283146291545330, 5925687946221552797881, 22737668307775797033769, 87347584817779229709230, 335912659587916635527323, 1293145046037540923990856, 4982994446142952998947570], 379843217622596954264647542600719920480404412039439\ 7465239854114135113208163171798219558953887952647108677351192372313321634034115\ 8213423181112645027095755503363892984249848155584657353866808499306016675152407\ 7789611467909244108626745425471557039237102525487042818064731932092657815593284\ 5763116504447540273181103472231107622488395087902231796278096635666315404857318\ 8500498914141765804886974367455860428119473242036207732475613538713135350752397\ 2504715122947361192331904012915083978629343690163959303040977843007247330200559\ 5672592940843101151242551619199751783749645940629180501665689824348461] ---------------------------- (A,B)= , {1, 2, 4}, {2, 3} [P^2*x^8-P^2*x^6-2*P*x^7+2*P^2*x^5+2*P*x^6+4*P^2*x^4+x^6-P^2*x^3-6*P*x^4-2*x^5-\ 3*P^2*x^2-P*x^3+2*x^4+6*P*x^2+2*x^3+P^2-3*x^2-2*P+1, (C*x^3-x^3+x^2-1)/((x^4+x^ 3)*C-x^4+x^2-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-2*(n-2)*(22*n-139)*a (n-2)-3*(n-3)*(35*n-144)*a(n-3)+(197*n^2-2037*n+5020)*a(n-4)+(219*n^2-1581*n+ 2316)*a(n-5)+(-334*n^2+3636*n-9476)*a(n-6)+(-236*n^2+1602*n-352)*a(n-7)+(183*n^ 2-1179*n-3288)*a(n-8)+(77*n^2-429*n+556)*a(n-9)+(95*n^2-4263*n+31636)*a(n-10)+( 40*n^2-282*n-3712)*a(n-11)+(-229*n^2+6981*n-48668)*a(n-12)+6*(2*n-25)*(3*n-112) *a(n-13)+(203*n^2-5403*n+35836)*a(n-14)+(-30*n^2+990*n-7728)*a(n-15)+(-70*n^2+ 1806*n-11480)*a(n-16)+28*(2*n-25)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 2, a(6) = 3, a(7) = 8, a(8) = 22, a(9) = 62, a(10) = 190, a(11) = 600, a(12) = 1961, a(13) = 6566, a(14) = 22414, a(15) = 77719, a(16) = 272944, a(17) = 968823}, [0, 0, 1, 0, 2, 3, 8, 22, 62, 190, 600, 1961, 6566, 22414, 77719, 272944, 968823, 3469974, 12524520, 45509654, 166338297, 611125170 , 2255640811, 8359943601, 31099497824, 116082897660, 434627050916, 1631866897618, 6142881875876, 23178799048065, 87652233299279, 332138232032186, 1260945981851622, 4795568255544087, 18268353940345675, 69699405162955226, 266310209448776765, 1018915406026046646, 3903424269892668252, 14971983914878369842, 57492360300163270307, 221009860595440150203, 850470950509229645943, 3275903416164540105284, 12630065008791061292627, 48737540016434059102805, 188229263060425547361742, 727544286962093873756421, 2814264094997674515436311, 10894035438952131299635932], 98817892705286732677251\ 8159286590221715301716595292040805346763657686342664314795184946287189893847691\ 7579661950951389172656227326524918720744933498629230614234129990657852604662247\ 2433603768011229585336375851684321508165520539503343488311310627768787295647718\ 6215359308381102353918010855541784659819061969016729824303623974626548656031495\ 2587328379839705635927011812658939054590667946654646248705941276972917966192789\ 4578864159612088062372533170546986770716692436184343062662627265228866098776772\ 9105660405240219882039400754256431644939501382909746122617875463850299040814676\ 0932369320434790803] ---------------------------- (A,B)= , {1, 2, 4}, {2, 4} [P^2*x^6+2*P^2*x^5+2*P^2*x^4-2*P*x^5-3*P*x^4-2*P^2*x^2-2*P*x^3+x^4-P^2*x+4*P*x^ 2+2*x^3+P^2+2*P*x-2*x^2-2*P-x+1, (C*x^2+x^2-1)/(C*x^2+x^3+x^2-1), {-4*n*(n-4)*a (n)+(n-1)*(41*n-210)*a(n-1)-3*(n-2)*(41*n-257)*a(n-2)+(39*n^2-531*n+1230)*a(n-3 )+(251*n^2-2723*n+7014)*a(n-4)+(-82*n^2+1594*n-6348)*a(n-5)+(-296*n^2+3830*n-\ 12036)*a(n-6)+(-47*n^2-229*n+4134)*a(n-7)+(152*n^2-2744*n+11376)*a(n-8)+(143*n^ 2-1751*n+4518)*a(n-9)+(14*n^2+118*n-2100)*a(n-10)+(-40*n^2+712*n-3096)*a(n-11)+ (-2*n^2-4*n+288)*a(n-12)+4*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3 ) = 1, a(4) = 0, a(5) = 2, a(6) = 2, a(7) = 6, a(8) = 13, a(9) = 34, a(10) = 94 , a(11) = 276, a(12) = 853, a(13) = 2735}, [0, 0, 1, 0, 2, 2, 6, 13, 34, 94, 276, 853, 2735, 9034, 30526, 105028, 366640, 1295205, 4621070, 16626183, 60252131, 219720569, 805664341, 2968578958, 10985650362, 40812503715, 152155346128, 569071760041, 2134572476640, 8028097511062, 30267674186446, 114374153408521, 433098009712283, 1643194121445248, 6245650527090462, 23779363056506871, 90679516987307939, 346307415096841208, 1324399703914404147, 5071606807726747911, 19445041190801289615, 74641305903651722636, 286833157317251204617, 1103402820416151304955, 4248838481626175343810, 16376318413099743315327, 63176031320623930818066, 243927034090538312367640, 942587900563380962589665, 3645206106211837671955436], 3173827289583709005838010\ 5610023147497544957050476666502449527125247496027716001797188496161654558959524\ 1751779102802342053340373148396851979478538506188659717054838397655123900988042\ 9609408069551353168146716898308813819949546147849406656000522864899025767633588\ 0044959379774516244313374406462763082167764765468874480098554854557797080968506\ 2948455537009023685940359417614798661105267334043710086895017583934133252695803\ 0588421329411980222791545542680356184366814561572403170133522984228746853658083\ 0202527931964558219557257393035297695749561407866312767298090630571226339599614\ 03997744920562301] ---------------------------- (A,B)= , {1, 2, 4}, {2, 5} [P^2*x^9+4*P^2*x^8-2*P*x^8-11*P^2*x^6-4*P*x^7-7*P^2*x^5+12*P*x^6+x^7+10*P^2*x^4 +15*P*x^5+9*P^2*x^3-14*P*x^4-8*x^5-3*P^2*x^2-20*P*x^3+4*x^4-3*P^2*x+6*P*x^2+11* x^3+P^2+6*P*x-3*x^2-2*P-3*x+1, ((x^4-x^3-x^2)*C+x^3-2*x^2-x+1)/((x^5+x^4-x^3-x^ 2)*C+x^4-2*x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-2*(n-2)*(164*n-\ 1131)*a(n-2)+(454*n^2-5312*n+11820)*a(n-3)+(966*n^2-10008*n+24972)*a(n-4)+(-\ 2761*n^2+38351*n-124596)*a(n-5)+(-1293*n^2+10215*n-11004)*a(n-6)+(6579*n^2-\ 103617*n+400248)*a(n-7)+3*(n+1)*(593*n-4792)*a(n-8)+(-8530*n^2+149450*n-646212) *a(n-9)+(-2920*n^2+37742*n-100368)*a(n-10)+(5389*n^2-99065*n+437640)*a(n-11)+( 2245*n^2-33581*n+101796)*a(n-12)+(-948*n^2+11970*n+1008)*a(n-13)+(-65*n^2-7763* n+109008)*a(n-14)+(-355*n^2+12137*n-103212)*a(n-15)+(-632*n^2+20350*n-163344)*a (n-16)+(31*n^2-1091*n+9360)*a(n-17)+(186*n^2-6138*n+50472)*a(n-18)+20*(2*n-31)* (n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 2, a(6) = 3, a(7) = 8, a(8) = 21, a(9) = 55, a(10) = 154, a(11) = 439, a(12) = 1294, a(13) = 3919, a(14) = 12180, a(15) = 38771, a(16) = 126113, a(17) = 418274, a(18) = 1411430, a(19) = 4835744}, [0, 0, 1, 0, 2, 3, 8, 21, 55, 154, 439, 1294, 3919, 12180, 38771, 126113, 418274, 1411430, 4835744, 16790128, 58979153, 209292039, 749303534, 2703544477, 9821312213, 35893519779, 131878887913, 486847872940, 1804899539541, 6716893223189, 25082987520673, 93960838169987, 352980607668167, 1329492697334673, 5019493451349118, 18992898565150421, 72012504019918007, 273555665597879419, 1040991804388177086, 3967904877767058614, 15147508345444964111, 57908893620983207524, 221684568017022481748, 849722687678930468486, 3260911213852530678061, 12528291975414982095337, 48184725614423463890486, 185509932074592217372758, 714895743478552463475361, 2757498240947076311770219], 217429084584832154606329577356524726177596254857617\ 9759739956922235458610873464795165854855091416818101741884232523185551752705307\ 8391430746530454693707442247174386049417473152287743006403240450003167669905488\ 0979271167595733903463571688532776640440793795442202980668744326163534696668180\ 8738317852328583635858804958208888570412063787370449063054057265514517483843352\ 6461561491048170698157633893340686853020651654978998310517281735190149210214273\ 8500665108937400870286318254762559250537331044408958026057684014028151511587512\ 3331340253568666867734794586336693607408829807577874709612392747551911] ---------------------------- (A,B)= , {1, 2, 4}, {3, 4} [P^2*x^9+2*P^2*x^8+4*P^2*x^7-2*P*x^8+5*P^2*x^6-4*P*x^7+6*P^2*x^5-6*P*x^6+x^7+4* P^2*x^4-8*P*x^5+2*x^6-7*P*x^4+2*x^5-2*P^2*x^2-2*P*x^3+3*x^4-2*P^2*x+4*P*x^2+2*x ^3+P^2+4*P*x-2*x^2-2*P-2*x+1, ((x^4+x^3)*C+x^2+x-1)/((x^5+x^4+x^3)*C+x^3+x^2+x-\ 1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)-192*(n-2)*(n-6)*a(n-2)+(235*n^2-2431 *n+5166)*a(n-3)+(164*n^2-1700*n+4320)*a(n-4)+(-207*n^2+3573*n-13206)*a(n-5)+(-\ 460*n^2+5920*n-18384)*a(n-6)+(-122*n^2-406*n+8892)*a(n-7)+(494*n^2-8894*n+39036 )*a(n-8)+(453*n^2-7497*n+29226)*a(n-9)+(180*n^2-252*n-13656)*a(n-10)+(-179*n^2+ 7865*n-65790)*a(n-11)+(-35*n^2+3131*n-28686)*a(n-12)+(252*n^2-7308*n+54000)*a(n -13)+(563*n^2-17573*n+134862)*a(n-14)+(660*n^2-20316*n+155400)*a(n-15)+(540*n^2 -16452*n+125184)*a(n-16)+(356*n^2-11012*n+84888)*a(n-17)+18*(9*n-130)*(n-17)*a( n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a (5) = 3, a(6) = 7, a(7) = 16, a(8) = 40, a(9) = 102, a(10) = 271, a(11) = 751, a(12) = 2167, a(13) = 6503, a(14) = 20225, a(15) = 64913, a(16) = 214029, a(17) = 721799, a(18) = 2480155, a(19) = 8654390}, [0, 0, 1, 1, 3, 7, 16, 40, 102, 271, 751, 2167, 6503, 20225, 64913, 214029, 721799, 2480155, 8654390, 30586119, 109246680, 393682224, 1429382856, 5223341592, 19194215685, 70877942334, 262858888099, 978588386544, 3655711061663, 13699137383908, 51480229864165, 193957735896930, 732488090723841, 2772297726401831, 10513652888010517, 39946486378451516, 152040156922328993, 579618533979082969, 2213018095047782471, 8461460053422600432, 32395598747578189709, 124186142722185189661, 476623775808839958548, 1831324600084819355888, 7043945047341584022531, 27120869073244310366985, 104521616704832105767930, 403183760659242735065214, 1556594030423789602997642, 6014582403678434598593643], 507103673185704389672350\ 0061321692688060927724003854848531974555211093108770963856813723372997757518749\ 1787458751246031510071478891343089951966609553902961516540812481447968586495715\ 9779451717954431117792331468130967904330554095409492127739877546159655455377942\ 8272049592983122416587926400542544468187146981574851501574042904418908118458030\ 4642527606262628870280662118462119837348556422170957986222944612921638834061573\ 5444944300448769333584099599158838404329099613569733604183485300989980964991671\ 8863673476816356727422187563107531768440216198584105069338868574157751330248885\ 930702580563220913] ---------------------------- (A,B)= , {1, 2, 4}, {3, 5} [P^2*x^11+2*P^2*x^10-2*P*x^10+P^2*x^8-4*P*x^9+P^2*x^7+2*P*x^8+x^9+8*P^2*x^6-2*P *x^7+2*x^8-3*P^2*x^5-8*P*x^6-2*x^7+3*P^2*x^4-5*P*x^5+x^6-3*P^2*x^3+2*P*x^4+8*x^ 5+7*P^2*x^2+4*P*x^3-5*x^4-5*P^2*x-14*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^ 5-x^3+x^2)*C+x^4+2*x-1)/((x^6-x^3+x^2)*C+x^5+x^3+2*x-1), {-5*n*(n-5)*a(n)+3*(n-\ 1)*(29*n-168)*a(n-1)-6*(n-2)*(104*n-679)*a(n-2)+(2390*n^2-24400*n+51660)*a(n-3) +(-5311*n^2+62729*n-165492)*a(n-4)+(7065*n^2-93291*n+287244)*a(n-5)+(-6007*n^2+ 83219*n-275712)*a(n-6)+6*(755*n-3523)*(n-8)*a(n-7)+(-4848*n^2+56178*n-133380)*a (n-8)+(5228*n^2-67516*n+188904)*a(n-9)+(-3404*n^2+56434*n-241692)*a(n-10)+(1455 *n^2-35523*n+252768)*a(n-11)+(-1543*n^2+38501*n-290772)*a(n-12)+(1140*n^2-22818 *n+134028)*a(n-13)+(-362*n^2+6226*n-8064)*a(n-14)+(409*n^2-17819*n+156180)*a(n-\ 15)+(-561*n^2+20421*n-175584)*a(n-16)+(284*n^2-9964*n+86064)*a(n-17)+(543*n^2-\ 21969*n+217716)*a(n-18)+(269*n^2-9265*n+80184)*a(n-19)+(-64*n^2+1916*n-13368)*a (n-20)+(53*n^2-2131*n+21060)*a(n-21)+2*(109*n-1892)*(n-21)*a(n-22)+36*(2*n-35)* (n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 8, a(7) = 20, a(8) = 53, a(9) = 142, a(10) = 388, a(11) = 1084, a(12) = 3095, a(13 ) = 9040, a(14) = 27024, a(15) = 82683, a(16) = 258812, a(17) = 828052, a(18) = 2704327, a(19) = 9000794, a(20) = 30474645, a(21) = 104767689, a(22) = 365059680, a(23) = 1287116815}, [0, 0, 1, 1, 3, 8, 20, 53, 142, 388, 1084, 3095 , 9040, 27024, 82683, 258812, 828052, 2704327, 9000794, 30474645, 104767689, 365059680, 1287116815, 4584901961, 16478524077, 59686798962, 217659595902, 798453210729, 2944300558715, 10907187086580, 40571278943299, 151464566309468, 567321067692468, 2131251074291293, 8028043478392338, 30314593612409755, 114728566746071744, 435102074173396189, 1653262646240527307, 6293075251071692802, 23993872559987181080, 91623282300870593958, 350377394668317059197, 1341689350311003960369, 5144203696433766742538, 19747062403090908360124, 75888453355782431000272, 291951676952620363474162, 1124303956709040540064054, 4333825193524627113988216], 334407307673190962774466\ 6030927813251879244957093503478097951128261883922216534859273660139485008440864\ 1641879165945952706875148048622059105410466093558872260843925836355820128411303\ 6230784464357417343015880381291306208572333557979362390068255944636253963639939\ 8779108622803548440524142767589901864674748123137288560941414596431940484376232\ 8650906688445954283337644948938801686867768349948333057015612200307498761316761\ 2496368806681598012597753438671823249465275056958630770704929911960296749778956\ 1501779847883723984419243560265358868549753406548709526891000326972389936069923\ 787995956286870671] ---------------------------- (A,B)= , {1, 2, 4}, {4, 5} [P^2*x^6+6*P^2*x^5+8*P^2*x^4-7*P*x^5+3*P^2*x^3-14*P*x^4+x^5-4*P^2*x^2-8*P*x^3+6 *x^4-2*P^2*x+8*P*x^2+5*x^3+P^2+4*P*x-4*x^2-2*P-2*x+1, (C*x^3+2*x^2+x-1)/(C*x^3+ x^3+2*x^2+x-1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+28*(n-2)*(8*n-57)*a(n-2)+ (-105*n^2+1557*n-3696)*a(n-3)+(-911*n^2+10447*n-27552)*a(n-4)+(858*n^2-13278*n+ 46128)*a(n-5)+(1898*n^2-26488*n+89532)*a(n-6)+(-963*n^2+20589*n-98112)*a(n-7)+( -2790*n^2+47022*n-195744)*a(n-8)+(-675*n^2+7053*n-8508)*a(n-9)+(1623*n^2-34749* n+184128)*a(n-10)+(1280*n^2-27796*n+150864)*a(n-11)+(329*n^2-7567*n+43596)*a(n-\ 12)+14*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5 ) = 3, a(6) = 7, a(7) = 16, a(8) = 39, a(9) = 95, a(10) = 237, a(11) = 606, a( 12) = 1592, a(13) = 4316}, [0, 0, 1, 1, 3, 7, 16, 39, 95, 237, 606, 1592, 4316, 12107, 35199, 106065, 330705, 1063741, 3516457, 11898382, 41048985, 143899574, 511099925, 1834940352, 6646546243, 24254285655, 89062956417, 328795958425, 1219447387222, 4541045383167, 16970762929890, 63625718611377, 239227485904074, 901819665867253, 3407682513042695, 12904576362080961, 48966514856127108, 186148804537524328, 708874464240108163, 2703804118570891967, 10328377915862399539, 39509253197349457716, 151334554971055441671, 580385023232382907947, 2228447155984350353543, 8565809685069017171752, 32960111179147782488652, 126951952773640281191605, 489439178471509836765565, 1888628408653443521516413], 151295806501396062293222681240517117577409570405472\ 2395059513025702837501366175656895910994404190923253731591212385579399373343403\ 6717391968822801086055448633455721423224225813969062012243474168059927006012448\ 7844025399996414522687607660617771364743425873950099753953981659679060711123488\ 0422178089218845850555797998222496715090059501655891952139009777638757841089322\ 3140448684449360854388209513592642404040150735450297888474341032584823136636569\ 4928524929912174646638159458740878048098457255403985563593864034826095232846899\ 6030960922473285771626150984815087786114241476306655906608126032709005] ---------------------------- (A,B)= , {1, 2, 4}, {1, 2, 3} [P^2*x^8-2*P^2*x^7+2*P^2*x^6+2*P^2*x^4-3*P^2*x^3-2*P*x^4+3*P*x^3+P^2-2*P+1, -1/ (C*x^4-x^4+x^3-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-28*(n-2)*(2*n-11)* a(n-2)+9*n*(n-3)*a(n-3)+(-86*n^2+462*n-448)*a(n-4)+(226*n^2-1632*n+2456)*a(n-5) +(-110*n^2+702*n-472)*a(n-6)+16*(2*n-5)*(2*n-7)*a(n-7)+(-189*n^2+1473*n-2832)*a (n-8)+(126*n^2-702*n-168)*a(n-9)+(-44*n^2+168*n+680)*a(n-10)+4*(4*n-31)*(n-8)*a (n-11)+(2*n^2-90*n+640)*a(n-12)+(-10*n^2+216*n-1136)*a(n-13)+4*(2*n-19)*(n-10)* a(n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 3, a(7) = 5, a(8) = 16, a(9) = 47, a(10) = 143, a(11) = 464, a(12) = 1535, a(13) = 5192, a(14) = 17877}, [0, 0, 1, 0, 1, 3, 5, 16, 47, 143, 464, 1535, 5192, 17877, 62396, 220310, 785458, 2823589, 10223205, 37246519, 136450411, 502327432, 1857363645, 6894682043, 25684763804, 95993129494, 359820301500, 1352400074089, 5095709739489, 19244250753436, 72831673008104, 276182769407226, 1049230210324882, 3992911866935072, 15219674561800079, 58099740487106409, 222104135038149737, 850191295657709177, 3258526440690176915, 12503747763918062279, 48033667185918515525, 184719306474044266059, 711076333676685746662, 2739906274244685305548, 10566970402263090815934, 40788879666044299187203, 157576726995181345000613, 609235343224956425361399, 2357249804549263587706730, 9127238753999018783289922], 836570807037629539249604\ 7484844668910645187476414562098628669024214712890456351365775723619511355272537\ 7920190054406064489065615473510409209776720317165740638380590972250253768955697\ 0574354416503465891094239459271906933233451631085661546695591816077175176973096\ 5001241398745656384231984295110130620868195428571897275352278992159034279207624\ 6223587211276675950545520937046264323791779354817498543712878630332040274116393\ 1753810721920669302344601732779404112603874122782003652294577391894644172655395\ 8040684552371094338515143315420497676104152715189787670039287978972326044169443\ 289865605255915184] ---------------------------- (A,B)= , {1, 2, 4}, {1, 2, 4} [P^2*x^6+P^2*x^4-P^2*x^3-P*x^4-P^2*x+x^3+P^2+2*P*x-2*P-x+1, (C*x^2-1)/(C*x^2+x^ 3-1), {4*n*(n-4)*a(n)-(n-1)*(41*n-210)*a(n-1)+9*(n-2)*(15*n-91)*a(n-2)+(-158*n^ 2+1514*n-3108)*a(n-3)+(97*n^2-895*n+1890)*a(n-4)+(-136*n^2+1108*n-1728)*a(n-5)+ (163*n^2-1615*n+3618)*a(n-6)+(-97*n^2+961*n-2310)*a(n-7)+(99*n^2-873*n+1518)*a( n-8)+(-61*n^2+745*n-2190)*a(n-9)+2*(n-10)*(2*n-21)*a(n-10)-(n-10)*(n-9)*a(n-11) +2*(n-10)*(2*n-21)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 3, a(8) = 9, a(9) = 23, a(10) = 66, a(11) = 203, a(12) = 644}, [0, 0, 1, 0, 1, 2, 3, 9, 23, 66, 203, 644, 2114, 7104, 24318, 84508, 297307, 1056777, 3789293, 13689833, 49782655, 182075453, 669317386, 2471616621, 9164240546, 34104059666, 127339139886, 476909302008, 1791083951066, 6743793816117, 25451552809845, 96265174315241, 364838496790766, 1385311563133854, 5269320602780488, 20075786170666805, 76604872561248246, 292728746838822749, 1120114416059649064, 4291543685794397913, 16462196625329645420, 63220310833001547294, 243048998017181749297, 935352293939853974445, 3603117336007958336075, 13892573071144242274185, 53612844082346028813153, 207070868018666483288189, 800417394348782278565042, 3096320167143292284383285], 272755762461220938735364978441246217143520150999084\ 8852983604849520683795247706806444446972285117827281115968981100659341559746482\ 5553639580515338591103221931882186104721436713152349927418566547138013317023651\ 0135451169850572927981469196192739468022609387123551719270658671969641104365257\ 1043214830846805172166302558260713449673960070778713459839869378088511124971010\ 0965338320676488565958016643154786212624224229907290163138675187932702655366154\ 3819692031307923446112161676664726609691989597092523810028338919187853317414755\ 8801667220040420205386119406988215141359827369970106911657716382175737] ---------------------------- (A,B)= , {1, 2, 4}, {1, 2, 5} [P^2*x^9+2*P^2*x^8-5*P^2*x^7-5*P^2*x^6+2*P*x^7+6*P*x^6+10*P^2*x^4-P*x^5+3*P^2*x ^3-14*P*x^4+x^5-P^2*x^2-8*P*x^3+4*x^4-3*P^2*x+2*P*x^2+5*x^3+P^2+6*P*x-x^2-2*P-3 *x+1, ((-x^3-x^2)*C-x^2-x+1)/((x^5-x^3-x^2)*C+x^4-x^3-x^2-x+1), {5*n*(n-5)*a(n) -3*(n-1)*(23*n-136)*a(n-1)+2*(n-2)*(172*n-1173)*a(n-2)+(-674*n^2+7324*n-15876)* a(n-3)+(126*n^2-1992*n+5556)*a(n-4)+(656*n^2-11158*n+41268)*a(n-5)+(1320*n^2-\ 12456*n+23352)*a(n-6)+(-2550*n^2+39186*n-146448)*a(n-7)+(-1719*n^2+24141*n-\ 80748)*a(n-8)+(1288*n^2-28394*n+140988)*a(n-9)+(3417*n^2-57357*n+244632)*a(n-10 )+(-136*n^2+3950*n-24732)*a(n-11)+(-1552*n^2+27536*n-118560)*a(n-12)+(-491*n^2+ 8191*n-26496)*a(n-13)+(440*n^2-9088*n+46536)*a(n-14)+(-24*n^2+1932*n-20880)*a(n -15)+(-112*n^2+3428*n-26160)*a(n-16)+(58*n^2-1730*n+12912)*a(n-17)+12*(2*n-29)* (n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 3, a(7) = 5, a(8) = 15, a(9) = 40, a(10) = 109, a(11) = 317, a(12) = 941, a(13) = 2880, a(14) = 9063, a(15) = 29200, a(16) = 96119, a(17) = 322389, a(18) = 1099100}, [0, 0, 1, 0, 1, 3, 5, 15, 40, 109, 317, 941, 2880, 9063, 29200, 96119 , 322389, 1099100, 3800594, 13304481, 47072306, 168091876, 605098418, 2193650109, 8002070820, 29350773761, 108181908263, 400481759994, 1488372274789, 5551059755863, 20769833897151, 77939751919430, 293255204174337, 1106109831665661, 4181507876676516, 15840744846795211, 60125724161504203, 228627317698966250, 870815378416413940, 3322053049986938094, 12691894466954031485, 48556421313220434697, 186008013016568602635, 713426011460933553934, 2739484331807550543219, 10530864758760624461003, 40523738514689008425861, 156092523762122588569611, 601811467741449797165791, 2322334548833089519149377], 185961353444586605451107007932617848239340995218204\ 9448791843449792568913738530661851213359414281219393646627051411463861975622430\ 6323266570572372883838711237978567187836855720087701500209391970183944869273257\ 0070722268433597396069400872534044133462033729636923287799917308240093840930815\ 3842164819250003763556351633476776057688759423512706913667252682387147937924576\ 7781994865747532555571592254221194093385025481773531946066993780337163663825150\ 9936831351646304655124667354858092799334721665882290089224972261197796981226031\ 8188361572667187231577275747549583435798970224847375647036994308653062] ---------------------------- (A,B)= , {1, 2, 4}, {1, 3, 4} [P^2*x^9+3*P^2*x^7+P^2*x^6-2*P*x^7+3*P^2*x^5+P^2*x^4-4*P*x^5-P^2*x^3-P*x^4+x^5-\ 2*P^2*x+x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3+x-1)/((x^5+x^3)*C+x^3+x-1), {-4*n*(n-4) *a(n)+48*(n-1)*(n-5)*a(n-1)-12*(n-2)*(17*n-100)*a(n-2)+(364*n^2-3496*n+7200)*a( n-3)+(-268*n^2+2848*n-6960)*a(n-4)+(155*n^2-1361*n+2430)*a(n-5)+(-142*n^2+2080* n-6840)*a(n-6)+(-181*n^2+673*n+3990)*a(n-7)+(269*n^2-1979*n-750)*a(n-8)+(-161*n ^2-751*n+16290)*a(n-9)+(270*n^2-1146*n-10560)*a(n-10)+(-128*n^2+992*n-180)*a(n-\ 11)+(100*n^2-700*n-2220)*a(n-12)+(-55*n^2+1165*n-5970)*a(n-13)+(158*n^2-4352*n+ 30180)*a(n-14)+(-42*n^2+948*n-5160)*a(n-15)+(139*n-1906)*(n-15)*a(n-16)-2*(11*n -134)*(n-15)*a(n-17)+20*(2*n-27)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 10, a(8) = 23, a(9) = 58, a(10) = 153, a(11) = 431, a(12) = 1284, a(13) = 3998, a(14) = 12907, a(15) = 42872, a(16) = 145614, a(17) = 503384, a(18) = 1765004}, [0, 0, 1, 1, 2, 5, 10, 23, 58, 153, 431, 1284, 3998, 12907, 42872, 145614, 503384, 1765004, 6260466, 22419599, 80938769, 294229410, 1076008508, 3955699950, 14609851072, 54183227574, 201696059430, 753334551925, 2822298411489, 10602961838827, 39935594379247, 150769526566474, 570439463212769, 2162613847801572, 8214102759071356, 31253433157745451, 119108299182980828, 454619500691720539, 1737701181383690203, 6650986547590883851, 25488669669248682006, 97797434265363961268, 375663126969362637214, 1444556046745208067985, 5560462127603634275228, 21424259332150494379116, 82622552944372473210341, 318911500649326142679494, 1231977543539647168942092, 4762992814288630942481812], 410135946628434726177791\ 7523209651965897318393323386581126460173943473549261538612836493074572820959454\ 0655471748676361608438516778983500350474217307168014558878998344138514095908833\ 5293023338286889194854811283542710629665240889163631341402645243744382211971533\ 6324290000326344350758868607363588209311245653747441846246855607374514724560118\ 4073749894957373602539300586551354947823090204567726003306690924511329971762510\ 0961398849588970874900835656587941929536850013435071318268267237533667272927115\ 3225373210579959424797187732135493080602648514596883197041775598214049279333275\ 392644652557597972] ---------------------------- (A,B)= , {1, 2, 4}, {1, 3, 5} [P^2*x^11-P^2*x^9+5*P^2*x^8-2*P*x^9-6*P^2*x^7+13*P^2*x^6+2*P*x^7-14*P^2*x^5-12* P*x^6+x^7+15*P^2*x^4+15*P*x^5-11*P^2*x^3-22*P*x^4-x^5+9*P^2*x^2+20*P*x^3+7*x^4-\ 5*P^2*x-18*P*x^2-9*x^3+P^2+10*P*x+9*x^2-2*P-5*x+1, ((x^4-x^3+x^2)*C+x^3-x^2+2*x -1)/((x^6-x^5+x^4-x^3+x^2)*C+x^5-x^4+2*x^3-x^2+2*x-1), {-5*n*(n-5)*a(n)+3*(n-1) *(29*n-168)*a(n-1)-2*(n-2)*(320*n-2079)*a(n-2)+(2652*n^2-26778*n+56436)*a(n-3)+ (-7087*n^2+81857*n-213588)*a(n-4)+(13646*n^2-174328*n+527892)*a(n-5)+(-21040*n^ 2+288932*n-968664)*a(n-6)+(27658*n^2-401048*n+1441428)*a(n-7)+(-31238*n^2+ 473698*n-1788648)*a(n-8)+(30258*n^2-478632*n+1882356)*a(n-9)+(-25055*n^2+414451 *n-1704312)*a(n-10)+(17646*n^2-304920*n+1316724)*a(n-11)+(-10344*n^2+190158*n-\ 887724)*a(n-12)+(4550*n^2-94384*n+511452)*a(n-13)+(-1373*n^2+41299*n-312588)*a( n-14)+(316*n^2-24422*n+273732)*a(n-15)+(-256*n^2+20744*n-243984)*a(n-16)+(473*n ^2-22111*n+226044)*a(n-17)+(-444*n^2+16272*n-146592)*a(n-18)+(372*n^2-12960*n+ 112896)*a(n-19)-4*(19*n-320)*(n-18)*a(n-20)-6*(5*n-76)*(n-19)*a(n-21)+28*(2*n-\ 33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 6, a(7) = 14, a(8) = 34, a(9) = 88, a(10) = 233, a(11) = 637, a(12) = 1804, a (13) = 5280, a(14) = 15951, a(15) = 49643, a(16) = 158731, a(17) = 519876, a(18 ) = 1738820, a(19) = 5922024, a(20) = 20483699, a(21) = 71791756, a(22) = 254460630}, [0, 0, 1, 1, 2, 6, 14, 34, 88, 233, 637, 1804, 5280, 15951, 49643, 158731, 519876, 1738820, 5922024, 20483699, 71791756, 254460630, 910615875, 3285699876, 11940172079, 43659651880, 160510466375, 592928791573, 2199611305403 , 8191027474657, 30606549723893, 114718269317565, 431192737938252, 1624896130506750, 6137665776420196, 23233986220322641, 88128409521054741, 334901202174255324, 1274881232571139405, 4860987740056647580, 18562466275477518540, 70984273641031695393, 271810795975505471728, 1042114621451445621386, 4000162077719738860976, 15371798948291509614714, 59133124486837790333752, 227704737542714548767607, 877660087552173857881035, 3385893314602176424743498], 268496321405281845855866290924809800390777224412336\ 7710155159825097266487979303186960722411745304736323521306317002539746968293427\ 1315033686860199498182880237410233406089413537018831363799400961591950655529895\ 0897690338798427027200866564735755423510463812645133131774055634250390715985167\ 3351327256539816054929734115337244414043398090201976669569315036507540707139234\ 2142826400419172145447183029038960114782733262090963184977083725204222896670610\ 6824327245234575980793714389401339713938944907339620264258992099970576620848368\ 7125018638271239190030846720390925428484902707152599471069134627344511] ---------------------------- (A,B)= , {1, 2, 4}, {1, 4, 5} [P^2*x^6+4*P^2*x^5+4*P^2*x^4-5*P*x^5+P^2*x^3-6*P*x^4+x^5-2*P^2*x^2-4*P*x^3+2*x^ 4-2*P^2*x+4*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/(C*x^3+x^3+x ^2+x-1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+240*(n-2)*(n-7)*a(n-2)+(-283*n^2 +3227*n-7104)*a(n-3)+(-299*n^2+3379*n-9072)*a(n-4)+(486*n^2-7638*n+27240)*a(n-5 )+(574*n^2-7556*n+23412)*a(n-6)+(-161*n^2+5143*n-28560)*a(n-7)+(-906*n^2+14778* n-58944)*a(n-8)+(-441*n^2+6099*n-19356)*a(n-9)+(343*n^2-7541*n+40608)*a(n-10)+( 398*n^2-8590*n+46392)*a(n-11)+(147*n^2-3393*n+19620)*a(n-12)+10*(n-12)*(2*n-25) *a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 10, a(8) = 22, a(9) = 51, a(10) = 121, a(11) = 302, a(12) = 794, a(13) = 2198 }, [0, 0, 1, 1, 2, 5, 10, 22, 51, 121, 302, 794, 2198, 6402, 19525, 61947, 203058, 683303, 2347769, 8201236, 29030007, 103864996, 374906214, 1363271790, 4988481461, 18352939460, 67841722225, 251826828537, 938261856496, 3507510839691 , 13151897837088, 49450881426706, 186403402141544, 704269703436487, 2666561649817112, 10116327178563091, 38449574960440740, 146387164201499918, 558223552742405395, 2131880076060143351, 8153175418105066400, 31222222537622141876, 119712827717279953573, 459543986199294130996, 1766018331496098583253, 6793905378051028607290, 26162328648095144935914, 100842630154496773982243, 389047529333719310079155, 1502218871096945913381754], 1231034413864321248989031304099201072130677100922923679449881368618004110719987\ 6272921417394299954765626162790206267415678608107898288283709441844389223634550\ 1076378523554311609086666634946664656786876655981361743528546820155277411796682\ 2108353507186018771670671052829168780956476874114174079253294175689369836134810\ 1306057944499176570795358180241524204226500044060715909251416397311021557138895\ 6561509248004682160085429120842750417128770250707421516595305522293415781493826\ 4599403863338054213024348493768867607169513025174415770874274698256016144275159\ 739583655251020078979991100216914240540089] ---------------------------- (A,B)= , {1, 2, 4}, {2, 3, 4} [P^2*x^9+2*P^2*x^8+2*P^2*x^7-2*P*x^8+3*P^2*x^6-2*P*x^7+3*P^2*x^5-2*P*x^6+x^7-4* P*x^5-3*P^2*x^3-P*x^4+x^5-2*P^2*x^2+4*P*x^3+x^4+4*P*x^2-x^3+P^2-2*x^2-2*P+1, (C *x^4+x^2-1)/((x^5+x^4)*C+x^3+x^2-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-\ 60*(n-2)*(n-7)*a(n-2)+(-90*n^2+798*n-1596)*a(n-3)+(94*n^2-1354*n+4044)*a(n-4)+( 311*n^2-3401*n+8910)*a(n-5)+(58*n^2+146*n-3060)*a(n-6)+(-387*n^2+5343*n-17886)* a(n-7)+(-365*n^2+4535*n-13674)*a(n-8)+(48*n^2-1488*n+8808)*a(n-9)+(192*n^2-4662 *n+27288)*a(n-10)+(57*n^2-1119*n+3090)*a(n-11)+(19*n^2+1913*n-25122)*a(n-12)+(- n^2+2605*n-31338)*a(n-13)+(81*n^2-1815*n+10770)*a(n-14)+(206*n^2-6518*n+51252)* a(n-15)+(205*n^2-6421*n+50202)*a(n-16)+(138*n^2-4338*n+33996)*a(n-17)+(122*n^2-\ 3914*n+31140)*a(n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 2, a(6) = 2, a(7) = 5, a(8) = 11, a(9) = 26, a(10) = 71, a(11) = 203, a(12) = 623, a(13) = 1993, a(14) = 6590, a(15) = 22326, a(16) = 77044, a(17) = 269751, a(18) = 955544, a(19) = 3417602}, [0, 0, 1, 0, 2, 2, 5, 11, 26, 71, 203, 623, 1993, 6590, 22326, 77044, 269751, 955544, 3417602, 12323003, 44743607, 163443392, 600213708, 2214545441, 8205128563, 30515783153, 113879459338, 426298043523, 1600337441011, 6023349786693, 22724966387905, 85926637523234, 325567745008793, 1235893488794404, 4699919972207605, 17902714152889896, 68299956803614272, 260947738517259429, 998344387956610434, 3824427688238204950, 14668313625845030516, 56323887657431458251, 216509588855709766773, 833123106281066982910, 3208973168626826933669, 12371628462615160339763, 47738862472260562418810, 184367171379640606384795, 712598023009698177513416, 2756382160161935164049439], 2421528062174231065424677\ 6630141504745287277776224059266524485674747307701346132617015802807948286813730\ 4258588198066648300406314477151106799100978249100923801076681583848393049049900\ 3852612215549822742028698234722105628023636002079563352354800069582088781715661\ 0107302513584676390547885784030926195680629245128050427608183765287699254070488\ 7796396038404982547707579279474800027969912489457918794384967435092741420371962\ 2024807979993492502386917368297035894844520052118520272720482246383365390296193\ 5853608540592635093569894914948181358603536747865585063130231724612166584068074\ 06572467103579471] ---------------------------- (A,B)= , {1, 2, 4}, {2, 3, 5} [P^2*x^11+2*P^2*x^10-2*P^2*x^9-2*P*x^10-P^2*x^8-2*P*x^9+6*P^2*x^7+6*P*x^8+x^9+4 *P^2*x^6-6*P*x^7-6*P^2*x^5-10*P*x^6-3*x^7+7*P*x^5+7*x^6+5*P^2*x^3+6*P*x^4-x^5-\ 12*P*x^3-6*x^4-3*P^2*x+7*x^3+P^2+6*P*x-2*P-3*x+1, ((x^5-x^4+x^2)*C+x^4-x^3+x^2+ x-1)/((x^6-x^4+x^2)*C+x^5+x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-\ 4*(n-2)*(88*n-597)*a(n-2)+(749*n^2-8065*n+17424)*a(n-3)+(-231*n^2+3771*n-10992) *a(n-4)+(-1523*n^2+19747*n-62544)*a(n-5)+(1556*n^2-26716*n+108312)*a(n-6)+(1675 *n^2-17435*n+35784)*a(n-7)+(-3028*n^2+46028*n-171384)*a(n-8)+(-509*n^2-491*n+ 43200)*a(n-9)+(2809*n^2-36059*n+71364)*a(n-10)+(-157*n^2+2663*n+19332)*a(n-11)+ (-1481*n^2+12061*n+42792)*a(n-12)+(-173*n^2+16879*n-202212)*a(n-13)+(114*n^2+ 9258*n-121992)*a(n-14)+(1159*n^2-47591*n+446184)*a(n-15)+(37*n^2-1169*n+504)*a( n-16)+(-1272*n^2+45780*n-407376)*a(n-17)+(239*n^2-10669*n+112884)*a(n-18)+(977* n^2-34597*n+306720)*a(n-19)+(-256*n^2+9464*n-86472)*a(n-20)+(-253*n^2+9299*n-\ 84996)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a (1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 2, a(6) = 3, a(7) = 7, a(8) = 17, a(9) = 40, a(10) = 104, a(11) = 279, a(12) = 789, a(13) = 2332, a(14) = 7167, a (15) = 22789, a(16) = 74544, a(17) = 249634, a(18) = 852274, a(19) = 2956332, a (20) = 10390439, a(21) = 36921146, a(22) = 132412316, a(23) = 478629057}, [0, 0 , 1, 0, 2, 3, 7, 17, 40, 104, 279, 789, 2332, 7167, 22789, 74544, 249634, 852274, 2956332, 10390439, 36921146, 132412316, 478629057, 1741854689, 6376515316, 23463927876, 86737310949, 321946867030, 1199373650456, 4482940960143, 16806520545547, 63180752885832, 238113823718177, 899477105366151 , 3405057408558895, 12915742843825938, 49081086162080656, 186833308185204189, 712345715277033084, 2720066138796412624, 10401121114514479935, 39825058890891039985, 152677495953931715092, 586010688407804838062, 2251749359601421481516, 8661495788088750163248, 33350352920336113732092, 128534821898245434988696, 495831099481317029773468, 1914346516686647983135803], 1561648438622978959322431124942725806988649704826320688677632471101694070298277\ 2598203266877368355806553222257824225967819401236133542138503508833224258295859\ 5136717232448227081387990054411699358160704230580087223439306430776882646378628\ 5509328455688972812843922813981857704623332824940689941581076708932103579727968\ 3155913610066648166665318455922726785045449582877404075323959539011940435634967\ 0000368752035453226881986679378725561918161288642098098466890904040422976872959\ 6381396422925546374002236150706471198284259585352236320893885019133399657719706\ 596098289753552493117408762137925476322746] ---------------------------- (A,B)= , {1, 2, 4}, {2, 4, 5} [P^2*x^6+6*P^2*x^5+6*P^2*x^4-7*P*x^5-2*P^2*x^3-12*P*x^4+x^5-5*P^2*x^2+2*P*x^3+6 *x^4+10*P*x^2+P^2-5*x^2-2*P+1, (C*x^3+2*x^2-1)/(C*x^3+x^3+2*x^2-1), {5*n*(n-5)* a(n)-6*(n-1)*(7*n-44)*a(n-1)+6*(n-2)*(8*n-75)*a(n-2)+(328*n^2-3182*n+6624)*a(n-\ 3)+(-507*n^2+6537*n-18324)*a(n-4)+(-1108*n^2+13442*n-38880)*a(n-5)+(1352*n^2-\ 21466*n+80604)*a(n-6)+(2204*n^2-32026*n+114744)*a(n-7)+(-1180*n^2+23648*n-\ 113616)*a(n-8)+(-2422*n^2+42686*n-186936)*a(n-9)+(-90*n^2-870*n+17208)*a(n-10)+ (890*n^2-19822*n+110040)*a(n-11)+(305*n^2-7051*n+40836)*a(n-12)+14*(n-12)*(2*n-\ 25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 2, a(6) = 2, a( 7) = 5, a(8) = 10, a(9) = 21, a(10) = 50, a(11) = 123, a(12) = 332, a(13) = 953 }, [0, 0, 1, 0, 2, 2, 5, 10, 21, 50, 123, 332, 953, 2900, 9232, 30422, 102913, 355136, 1244564, 4415122, 15818695, 57143692, 207867396, 760681298, 2798240088, 10341072258, 38372944833, 142915969250, 534045086619, 2001633327866, 7522921430413, 28345535327964, 107051285443754, 405164484794846, 1536508340889773, 5837699123075914, 22217602867204745, 84693937017447750, 323342454754867195, 1236198523702790036, 4732517322433959010, 18140168975453147178, 69615352030696023071, 267457802501376964174, 1028646832302786848630, 3960174442533743548668, 15260802714795257325014, 58862016693010844329192, 227231598503273446483211, 877931423036120870036066], 7359753939301549418844877548713709325850081611541463371739088089337270280691429\ 3897913942304855580060621796880856534439085675388928841450062567203837807817423\ 0076105058017527301604832148326291892570493648597334889933084644028445736936991\ 4149243191958566652456360745127286207521492487760114066344127440877230460690700\ 2133863569192943299631687541234340807933602997756072295267730589930708900620490\ 6425877600886561594798127114079230700998712522978379749598113950248947859638866\ 6565382646232453080321128417326215495674569140411804777452892116633045243888701\ 82759358803951214568808196414719099076238] ---------------------------- (A,B)= , {1, 2, 4}, {3, 4, 5} [P^2*x^11+4*P^2*x^10+7*P^2*x^9-2*P*x^10+11*P^2*x^8-8*P*x^9+11*P^2*x^7-12*P*x^8+ x^9+12*P^2*x^6-16*P*x^7+4*x^8+5*P^2*x^5-16*P*x^6+5*x^7+3*P^2*x^4-11*P*x^5+5*x^6 -3*P^2*x^3-4*P*x^4+6*x^5-P^2*x^2+4*P*x^3+x^4-2*P^2*x+2*P*x^2-x^3+P^2+4*P*x-x^2-\ 2*P-2*x+1, ((x^5+x^4)*C+x^4+x^3+x^2+x-1)/((x^6+x^5+x^4)*C+x^5+x^4+2*x^3+x^2+x-1 ), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-2*(n-2)*(124*n-861)*a(n-2)+(393*n^2-\ 4221*n+9096)*a(n-3)+(-238*n^2+2456*n-5676)*a(n-4)+(526*n^2-5360*n+12444)*a(n-5) +(-882*n^2+12066*n-39288)*a(n-6)+(-26*n^2+2098*n-13332)*a(n-7)+(-826*n^2+8108*n -12804)*a(n-8)+(985*n^2-19955*n+101016)*a(n-9)+(849*n^2-19137*n+99660)*a(n-10)+ (1441*n^2-23003*n+83304)*a(n-11)+(119*n^2+12425*n-170484)*a(n-12)+(-297*n^2+ 24459*n-256020)*a(n-13)+(-496*n^2+21434*n-191976)*a(n-14)+(928*n^2-32834*n+ 289776)*a(n-15)+(2604*n^2-93330*n+826104)*a(n-16)+(4260*n^2-151224*n+1334232)*a (n-17)+(4621*n^2-164153*n+1456212)*a(n-18)+(3987*n^2-142581*n+1273140)*a(n-19)+ (2670*n^2-97314*n+883776)*a(n-20)+(1373*n^2-51067*n+471780)*a(n-21)+6*(79*n-\ 1364)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 3, a(6) = 7, a(7) = 15, a(8) = 35, a(9) = 82, a(10) = 196, a(11) = 482, a(12) = 1223, a(13) = 3223, a(14) = 8859, a(15) = 25450, a(16) = 76370, a(17) = 238615, a(18) = 772407, a(19) = 2575628, a(20) = 8798134, a(21) = 30637280, a(22) = 108325178, a(23) = 387678381}, [0, 0, 1, 1, 3, 7, 15, 35, 82, 196, 482, 1223, 3223, 8859, 25450, 76370, 238615, 772407, 2575628, 8798134, 30637280, 108325178, 387678381, 1401009410, 5103359388, 18712314587, 68993426358, 255595339643, 950812148374, 3549929940895, 13297057096679, 49952806982327, 188154239022092, 710422935044505, 2688326902859369, 10193749705230278, 38726347704162811, 147380953097913444, 561806030317469437, 2144840732706912460, 8200217378737447233, 31393475936542227761, 120337978372675084889, 461831854612425855071, 1774410958686266808729, 6824759541306457835199, 26275990393223296941595, 101262139417178930321757, 390598640050321459427850, 1507963605929774917591130], 1229387280568296385996475\ 4747989402537624706859650899503978754381419811744573000202951101128337846888773\ 6715060102917915022602718176988214337956347887122424701155125254054835207415797\ 8669759498294915271236211781523383023339274575120949540415662571350233438633394\ 3915719146631209365866632336662710539862508154757960254549417360191879383876186\ 6697871839759485761546606899750428170160328602706772559319461804541139716137120\ 4569994993239817204532854430562727808197801204948735479757082103248809305068181\ 0161936711225298329247018462265370273142537338279339773837006331721072536081911\ 67019255235718542] ---------------------------- (A,B)= , {1, 2, 4}, {1, 2, 3, 4} [P^2*x^9+P^2*x^7+P^2*x^6-P^2*x^4-2*P^2*x^3+P*x^4+2*P*x^3+P^2-2*P+1, -1/(C*x^5+x ^3-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-36*(n-2)*(2*n-13)*a(n-2)+(9*n^ 2-45*n+42)*a(n-3)+(-74*n^2+566*n-948)*a(n-4)+(133*n^2-1411*n+3426)*a(n-5)+(70*n ^2-652*n+1272)*a(n-6)+(49*n^2-493*n+1314)*a(n-7)+(-74*n^2+1046*n-3636)*a(n-8)+( -106*n^2+1180*n-3468)*a(n-9)+(21*n^2+9*n-786)*a(n-10)+(-59*n^2+365*n+210)*a(n-\ 11)+4*(7*n-61)*(n-9)*a(n-12)+(-6*n^2+72*n-168)*a(n-13)+(23*n^2-401*n+1734)*a(n-\ 14)+2*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 2, a(8) = 7, a(9) = 17, a(10) = 47, a(11) = 147, a(12) = 466, a(13) = 1537, a(14) = 5193, a(15) = 17849}, [0, 0, 1, 0, 1, 2, 2, 7, 17, 47, 147, 466, 1537, 5193, 17849, 62260, 219734, 783161, 2814759, 10189696, 37120218, 135975823, 500545664, 1850672578, 6869532104, 25590109982, 95636361385, 358473439636, 1347307188209, 5076420895744, 19171080132304, 72553678544308, 275125023586112, 1045199818478595, 3977533568575397, 15160920400498103, 57874983563123816, 221243325302007678, 846890661396276203, 3245856886511849986, 12455064732961994364, 47846415393723642836, 183998386117644577061, 708298262239977932213, 2729191642889802606872, 10525611156735439680973, 40629102657557268548699, 156959012382316852893254, 606845442890959494986975, 2347996918836007465528453], 2086258309000978221719705\ 7500717761170363252740718128676419083204264642003255614738014418997261948212820\ 2414176905031915535769323821196743042453174185713000804619746692717919354983535\ 6469006111514914199911792396642997370342613249624026969440562365140705013492004\ 1244471172345876794890605640220083707618764808453389902799272241712166713603289\ 5346253198178959413969332984827382694044188705050245086081876752360483231702021\ 1059711412661093862338898840122451147744906227416644202456686380798607874957945\ 9121035167337390932162365154692578436996270443609443985704617818952171433109482\ 42445092636530067] ---------------------------- (A,B)= , {1, 2, 4}, {1, 2, 3, 5} [P^2*x^11-3*P^2*x^9+5*P^2*x^8-P^2*x^7+3*P^2*x^6-2*P*x^7-7*P^2*x^5-2*P*x^6+6*P^2 *x^4+7*P*x^5-P^2*x^3-6*P*x^4+2*P^2*x^2-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-\ 3*x+1, (C*x^2+x-1)/((x^6-x^5+x^2)*C+x^5-x^4+x^3+x-1), {-5*n*(n-5)*a(n)+3*(n-1)* (23*n-136)*a(n-1)-8*(n-2)*(46*n-309)*a(n-2)+(969*n^2-10077*n+21480)*a(n-3)+(-\ 1395*n^2+16419*n-42960)*a(n-4)+(1466*n^2-17266*n+47784)*a(n-5)+(-2235*n^2+24999 *n-65376)*a(n-6)+(3580*n^2-43844*n+127320)*a(n-7)+(-3497*n^2+46741*n-150696)*a( n-8)+(2438*n^2-34330*n+122904)*a(n-9)+(-2541*n^2+37041*n-146016)*a(n-10)+(2872* n^2-43292*n+171192)*a(n-11)+(-1817*n^2+30241*n-129384)*a(n-12)+(635*n^2-15379*n +92136)*a(n-13)+(-422*n^2+13018*n-90600)*a(n-14)+(317*n^2-8581*n+56568)*a(n-15) -24*(2*n-25)*(2*n-33)*a(n-16)+(60*n^2-2496*n+22512)*a(n-17)-24*(n-14)*(2*n-39)* a(n-18)-6*(n-13)*(n-16)*a(n-19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 3, a(7) = 4, a(8) = 11, a(9) = 27, a( 10) = 67, a(11) = 188, a(12) = 546, a(13) = 1659, a(14) = 5248, a(15) = 17094, a(16) = 57063, a(17) = 194301, a(18) = 672300, a(19) = 2357252, a(20) = 8356899 }, [0, 0, 1, 0, 1, 3, 4, 11, 27, 67, 188, 546, 1659, 5248, 17094, 57063, 194301 , 672300, 2357252, 8356899, 29904215, 107864530, 391753325, 1431374909, 5257613780, 19402598456, 71903559328, 267471085898, 998349774704, 3737948226033 , 14034974452900, 52834266453025, 199368138660143, 753967426741738, 2857167957259757, 10847820484231711, 41258784324007634, 157183482827766452, 599747096327192830, 2291704803694965817, 8768811621323950472, 33595409270883404293, 128867910195889910513, 494887428675506798584, 1902559748299772940483, 7321768200200772697424, 28204398765123107728779, 108747682396785039752663, 419668216127829789157138, 1620903046250515460333626], 1340653370212597169075517345959953082119331767347935309362467059067239693900497\ 4554434960634311415168393642836327493510794813012894285150353514635742645745206\ 0942515001509648596469104146803916598230844819288056654223168310253530427910487\ 6429165217474833103508968907579766268588536763066191213112681370567953946018261\ 1741240426912067727894818841538971818797512009276982560154526048125026848149773\ 2615804601139517819832297186281622837668488510865842218538145861611355033131337\ 5418107936122258544884732538229421851074124435431261171205927165559243375117298\ 242402749367756471273522289825375244592989] ---------------------------- (A,B)= , {1, 2, 4}, {1, 2, 4, 5} [P^2*x^6+4*P^2*x^5+2*P^2*x^4-5*P*x^5-2*P^2*x^3-4*P*x^4+x^5-3*P^2*x^2+2*P*x^3+2* x^4+6*P*x^2+P^2-3*x^2-2*P+1, (C*x^3+x^2-1)/(C*x^3+x^3+x^2-1), {5*n*(n-5)*a(n)-6 *(n-1)*(7*n-44)*a(n-1)+2*(n-2)*(32*n-267)*a(n-2)+(192*n^2-1878*n+3936)*a(n-3)+( -291*n^2+3825*n-10932)*a(n-4)+(-510*n^2+6144*n-17328)*a(n-5)+(330*n^2-6000*n+ 24420)*a(n-6)+(922*n^2-13088*n+45504)*a(n-7)+(78*n^2+270*n-6984)*a(n-8)+(-782*n ^2+13654*n-59064)*a(n-9)+(-342*n^2+5934*n-25464)*a(n-10)+(152*n^2-3520*n+20208) *a(n-11)+(123*n^2-2877*n+16860)*a(n-12)+10*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 2, a(8) = 6, a(9) = 12, a(10) = 28, a(11) = 77, a(12) = 218, a(13) = 666}, [0, 0, 1, 0, 1, 2, 2, 6, 12, 28, 77, 218, 666, 2128, 7018, 23740, 81815, 286130, 1012611, 3618780, 13039330, 47315972, 172748783, 634091142, 2338575092, 8661483368, 32202373796, 120137670540, 449603438239, 1687410548290, 6349642801093, 23951045273868, 90545340483429, 343007000654074, 1301881797415806, 4950110112720986, 18853050927919052, 71916012401527036, 274729166483510901, 1050947426794390706, 4025496595056750183, 15437904660583196146, 59273213529879725327, 227825842426945438152, 876591309577006794572, 3376122253488900090200, 13015020662925660408619, 50217796847891164845226, 193927026498448457999878, 749497115874808735644116], 6359761249412464784973871933959724682195672410015265\ 5801314018171060758310066784926532006659825200149891135963900768833625196586940\ 7605195415234059350201028918849308390792324033576672649033848730370694819966602\ 1536058027969387899484073909268765787607733969899725460135112636121358139341632\ 2936799665012167825491798335400642788446629190220438761063881148993760856243362\ 2864630659424370270027426248755990202791569778170504355350671110115961935527894\ 8097555626151058753487292446735071325947448930866965425781509821844016114262552\ 75298108934558183418999216404992679264909346635400982322814267514704] ---------------------------- (A,B)= , {1, 2, 4}, {1, 3, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9+7*P^2*x^8-2*P*x^9+P^2*x^7-4*P*x^8+9*P^2*x^6-2*P* x^7-3*P^2*x^5-10*P*x^6+x^7+5*P^2*x^4+3*P*x^5+2*x^6-5*P^2*x^3-8*P*x^4+P^2*x^2+8* P*x^3+3*x^4-2*P^2*x-2*P*x^2-3*x^3+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^4+x^3+x-1)/((x^ 6+x^4)*C+x^5+2*x^3+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-6*(n-2)*(44*n-\ 301)*a(n-2)+(571*n^2-5891*n+12504)*a(n-3)+(-922*n^2+10172*n-25596)*a(n-4)+(1702 *n^2-19988*n+56172)*a(n-5)+(-2506*n^2+32072*n-100668)*a(n-6)+(2844*n^2-37230*n+ 120828)*a(n-7)+(-3640*n^2+50270*n-171228)*a(n-8)+(3553*n^2-53723*n+202548)*a(n-\ 9)+(-2909*n^2+42763*n-151764)*a(n-10)+(2673*n^2-42753*n+162432)*a(n-11)+(-1256* n^2+21724*n-95064)*a(n-12)+(725*n^2-7795*n-8028)*a(n-13)+(-54*n^2+1518*n-11208) *a(n-14)+(-14*n^2-26*n+8016)*a(n-15)+(470*n^2-13294*n+96312)*a(n-16)+(380*n^2-\ 15400*n+147984)*a(n-17)+(422*n^2-13954*n+115560)*a(n-18)+(492*n^2-17472*n+ 154656)*a(n-19)+(196*n^2-6884*n+60240)*a(n-20)+18*(9*n-148)*(n-19)*a(n-21)+28*( 2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a (6) = 5, a(7) = 9, a(8) = 18, a(9) = 40, a(10) = 90, a(11) = 215, a(12) = 553, a(13) = 1520, a(14) = 4449, a(15) = 13744, a(16) = 44309, a(17) = 147600, a(18) = 503991, a(19) = 1753438, a(20) = 6188930, a(21) = 22093738, a(22) = 79598222} , [0, 0, 1, 1, 2, 5, 9, 18, 40, 90, 215, 553, 1520, 4449, 13744, 44309, 147600, 503991, 1753438, 6188930, 22093738, 79598222, 288955521, 1055704286, 3878366763 , 14316838062, 53075460743, 197510363308, 737513106072, 2762442409431, 10376249874603, 39075771467429, 147504108113052, 558020929458543, 2115320799990732, 8033756875168669, 30564813639193731, 116475628544920108, 444542373112153477, 1699084168278029034, 6502836700134083755, 24919706966412585887, 95610142967702510501, 367246255578379203563, 1412137176896949859914, 5435484888849606928349, 20942052350670270100260, 80760508370498591143792, 311715586342622687749077, 1204147919971489703058867], 1003015965164058521062948215716648662629768736551141251664429172839793675042257\ 1166334038530435416245061767601885519474770647709051950186524467024480803209543\ 8197666495247735119142064196536712784190581902303435805377979490300228301865500\ 5074037679231806582731682401744135037192843831774752428249277873324283447359210\ 6720372057566882983348530644935131083314980469274312009932802123759104095300306\ 8341534535187911892115467169482049071486262252628339890387375054992050812549234\ 6266628984456343224756839836448324846629944216960180682243940614733746293155005\ 696223865010043783878533684872263298261893] ---------------------------- (A,B)= , {1, 2, 4}, {2, 3, 4, 5} [P^2*x^11+4*P^2*x^10+5*P^2*x^9-2*P*x^10+5*P^2*x^8-6*P*x^9+6*P^2*x^7-4*P*x^8+x^9 +4*P^2*x^6-6*P*x^7+2*x^8-P^2*x^5-6*P*x^6-2*P^2*x^4+P*x^5+3*x^6-2*P^2*x^3+4*P*x^ 4-2*P^2*x^2+2*P*x^3-2*x^4+4*P*x^2+P^2-2*x^2-2*P+1, (C*x^5+x^4+x^2-1)/((x^6+x^5) *C+x^5+x^4+x^3+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-72*(n-2)*(n-8)* a(n-2)+(-124*n^2+1226*n-2592)*a(n-3)+(186*n^2-2454*n+7128)*a(n-4)+(205*n^2-2633 *n+7392)*a(n-5)+(60*n^2-588*n+1248)*a(n-6)+(80*n^2+680*n-8544)*a(n-7)+(-395*n^2 +6865*n-28704)*a(n-8)+(-687*n^2+8607*n-22224)*a(n-9)+(-221*n^2+2143*n-3252)*a(n -10)+(199*n^2-6605*n+48912)*a(n-11)+(298*n^2-9476*n+64176)*a(n-12)+(248*n^2-340 *n-41712)*a(n-13)+(154*n^2+6064*n-106704)*a(n-14)+(75*n^2+4863*n-82548)*a(n-15) +(66*n^2+2106*n-45768)*a(n-16)+(576*n^2-19284*n+163368)*a(n-17)+(1187*n^2-43021 *n+389460)*a(n-18)+(1205*n^2-44023*n+401964)*a(n-19)+(1030*n^2-38126*n+351552)* a(n-20)+(875*n^2-32869*n+306444)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*(2 *n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 2, a( 6) = 2, a(7) = 4, a(8) = 8, a(9) = 15, a(10) = 35, a(11) = 84, a(12) = 227, a( 13) = 663, a(14) = 2060, a(15) = 6699, a(16) = 22480, a(17) = 77178, a(18) = 269455, a(19) = 952997, a(20) = 3405437, a(21) = 12272608, a(22) = 44545905, a( 23) = 162686063}, [0, 0, 1, 0, 2, 2, 4, 8, 15, 35, 84, 227, 663, 2060, 6699, 22480, 77178, 269455, 952997, 3405437, 12272608, 44545905, 162686063, 597343911 , 2203721915, 8164375272, 30362350197, 113301365463, 424117360979, 1592099891771, 5992185323167, 22606882220099, 85478521161594, 323864631870737, 1229411170457249, 4675212474386070, 17808413520374604, 67939574656742707, 259568782799698654, 993061737114097870, 3804167429004172940, 14590526536122253566, 56024923968208102758, 215359430139265369217, 828694097115332202827, 3191902641145479561354, 12305777529827092366919, 47484627342642575948838, 183384851955774412468316, 708799636167419122729009], 6030609287676101786286603234959486483629402071822453489383893406150350074660219\ 0179346108032485621101346113082765780816957651997437448863711472984481875461703\ 7333268395991089163644432527405108376189434272346015564753152066169608258254484\ 5155352897520497008750828422986636195560660151686901031028591573078239009037615\ 8131321165165986086086225021640616002647235670701101364040232872758342581852127\ 8420073054959967897660683451659805141696719275426777191058072456193519321583999\ 8881746418809950246843252105165688919248350918288405566146546022977480763815229\ 72526840795580297387810025885253386384399] ---------------------------- (A,B)= , {1, 2, 4}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^8+P^2*x^6-3*P^2*x^5+3*P*x^5-2*P^2*x^3+2*P*x^3+P^2-\ 2*P+1, -1/(C*x^6+x^5+x^3-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)* (2*n-15)*a(n-2)+(12*n^2-78*n+96)*a(n-3)+(-102*n^2+906*n-1704)*a(n-4)+(231*n^2-\ 2487*n+6000)*a(n-5)+(-138*n^2+1068*n-1380)*a(n-6)+(354*n^2-3696*n+8376)*a(n-7)+ (-189*n^2+2475*n-8328)*a(n-8)+(188*n^2-1966*n+5208)*a(n-9)+(-436*n^2+5660*n-\ 18816)*a(n-10)+(134*n^2-1618*n+5364)*a(n-11)+(-227*n^2+3199*n-11700)*a(n-12)+( 48*n^2-1734*n+10752)*a(n-13)+(-43*n^2+767*n-3444)*a(n-14)+(98*n^2-2068*n+10944) *a(n-15)+(34*n^2-602*n+2568)*a(n-16)+3*(n-12)*(7*n-89)*a(n-17)+6*(n-12)*(2*n-25 )*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 1, a(8) = 4, a(9) = 8, a(10) = 17, a(11) = 51, a(12) = 149, a(13) = 469, a(14 ) = 1545, a(15) = 5198, a(16) = 17853, a(17) = 62244, a(18) = 219606}, [0, 0, 1 , 0, 1, 2, 1, 4, 8, 17, 51, 149, 469, 1545, 5198, 17853, 62244, 219606, 782599, 2812488, 10180892, 37086763, 135849659, 500071557, 1848892908, 6862850204, 25564999393, 95541872750, 358117351590, 1345963085413, 5071339081407, 19151835354218, 72480682240882, 274847715551809, 1044144766408901, 3973513720521310, 15145583292408014, 57816390083233296, 221019194523880124, 846032289768636616, 3242565740780952010, 12442432092908471202, 47797875943617244785, 183811692744782104066, 707579513703449178865, 2726422018753843666395, 10514929385401529826038, 40587871259816520795669, 156799732892882294211329, 606229664832112531605683], 52183167876000273595357169\ 5047705481682330557404175610729059419568983330145995822757501693587693814998842\ 7109755358673371651405908366465689867697716343822574704253609872497822764772373\ 6543100574275454530957744497669535891755464707940761127215863621824248172674164\ 1394958339740698081071755335159000169468395963047971867628568015275224112423564\ 2887974048037961723630438529644440706655901573727309630138326349048537677941435\ 3158053921798751025936263745221715049139695335246858102454798601042581282701737\ 1343226907689242878677300925264807718220357863282435818182538674007501025593228\ 969786446871935] ---------------------------- (A,B)= , {1, 2, 5}, {} [P^2*x^7+4*P^2*x^6+7*P^2*x^5-2*P*x^6+8*P^2*x^4-8*P*x^5+2*P^2*x^3-12*P*x^4+x^5-P ^2*x^2-7*P*x^3+4*x^4-3*P^2*x+2*P*x^2+5*x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((x^3+x^2-x )*C-x^3-2*x^2-x+1)/((x^4+x^3+x^2-x)*C-x^4-2*x^3-2*x^2-x+1), {-3*n*(n-3)*a(n)+(n -1)*(41*n-160)*a(n-1)-2*(n-2)*(101*n-485)*a(n-2)+3*(n-3)*(133*n-780)*a(n-3)+(-\ 144*n^2+1782*n-4812)*a(n-4)+(-260*n^2+4026*n-13720)*a(n-5)+(-314*n^2+1272*n+ 4052)*a(n-6)+(461*n^2-7833*n+31720)*a(n-7)+(373*n^2-3243*n+308)*a(n-8)+(-62*n^2 +5052*n-38452)*a(n-9)+(-66*n^2+2040*n-11016)*a(n-10)+(450*n^2-11136*n+67500)*a( n-11)+(762*n^2-18264*n+108960)*a(n-12)+(571*n^2-13611*n+81068)*a(n-13)+6*(39*n-\ 448)*(n-13)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 39, a(8) = 112, a(9) = 331, a(10) = 1003, a(11) = 3113, a(12) = 9880, a(13) = 32007, a(14) = 105643, a(15) = 354601 }, [0, 0, 1, 2, 5, 14, 39, 112, 331, 1003, 3113, 9880, 32007, 105643, 354601, 1208270, 4172354, 14578744, 51472674, 183406782, 658819553, 2383534682, 8678142939, 31774394509, 116925650784, 432212510494, 1604145435618, 5975566548178, 22333444386343, 83723006547708, 314726753793068, 1186105004777076, 4480492656499292, 16961491394066725, 64338208448100174, 244500043517071602, 930762180316270792, 3548939683198484178, 13552322454810838673, 51825486807352871879, 198449795762758093347, 760854900862694020424, 2920560190280451957851, 11223166249899416762856, 43174132726635235650792, 166252031914223582615760, 640801284676451642582017, 2472136619352932700165419, 9545426611759688346702318, 36887094187222154415663760], 31293749737903669336591659136316152508135821432536\ 5954559959737458821874566716300598214501341213648061371129245860838071837801047\ 4387962875547772534485431509375959630335114273688977198720971369951768955144322\ 9426937576139617936922025123926075511626557967108734208644113809202067794957224\ 9224461651934503113033137834183273758662225517770674336786136790748887548140622\ 4405986821062585234980135508939133835703676475182621102683976688246028134524852\ 4210903181664893313236791107876203675486754333062742665195897189489069665365205\ 008162074604230082384103671969651460851593546987678647685779524326801658] ---------------------------- (A,B)= , {1, 2, 5}, {1} [P^2*x^7+2*P^2*x^6+2*P^2*x^5+4*P^2*x^4-2*P*x^5-2*P^2*x^3-4*P*x^4+2*P^2*x^2+P*x^ 3-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, ((x^2-x)*C-x^2-x+1)/((x^4+x^2- x)*C-x^4-x^3-x^2-x+1), {-3*n*(n-3)*a(n)+(n-1)*(41*n-160)*a(n-1)-2*(n-2)*(107*n-\ 500)*a(n-2)+6*(n-3)*(91*n-480)*a(n-3)+(-767*n^2+7257*n-16744)*a(n-4)+(761*n^2-\ 7227*n+17080)*a(n-5)+(-744*n^2+7128*n-16080)*a(n-6)+(497*n^2-6027*n+18352)*a(n-\ 7)+(-156*n^2+2514*n-11760)*a(n-8)+(94*n^2-1434*n+5888)*a(n-9)+(-6*n^2+942*n-\ 6912)*a(n-10)+(41*n^2-1383*n+9352)*a(n-11)+(46*n^2-1038*n+5840)*a(n-12)+10*(n-\ 11)*(5*n-56)*a(n-13)+12*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 10, a(7) = 26, a(8) = 70, a(9) = 198, a(10) = 585 , a(11) = 1794, a(12) = 5682, a(13) = 18496, a(14) = 61606}, [0, 0, 1, 2, 4, 10 , 26, 70, 198, 585, 1794, 5682, 18496, 61606, 209164, 721600, 2523063, 8922183, 31855926, 114680772, 415804234, 1517014488, 5565023934, 20513969345, 75946943648, 282264619872, 1052747110708, 3938874368542, 14780141749768, 55607978476380, 209727026043475, 792771888548585, 3002933712585489, 11396775221585703, 43331014836915472, 165022888664810368, 629463976518012220, 2404563984933323197, 9198179024896314292, 35231585375229945103, 135112369882088509220, 518753599047669114002, 1993898804948113275792, 7671779707292573659022, 29547253729401190908639, 113905528809688886239751, 439500558846907577586004, 1697237709966100087258932, 6559601798359977145719824, 25371605723457628620489818], 22267639816163305937009917535092379235013800298221\ 5907158350487643435568867967300531896529418367139969685465064281562571465718532\ 8891201684909589686169961258947023483307827744189416137732490589774694668441269\ 9711861647872601002299976785351182591319085367860565625159919329621459998115897\ 5970010949670209242177736290873238925392021279655590793666996522866398466208182\ 4033002442752681004331481221978675552728169015211496082160188678011013689610928\ 0716091357483655990376459344446955035194217960410857997492869924316354744137625\ 786943811635558926155892197213276750828406454917441895244490748790433373] ---------------------------- (A,B)= , {1, 2, 5}, {2} [P^2*x^7+4*P^2*x^6+5*P^2*x^5-2*P*x^6+2*P^2*x^4-6*P*x^5-3*P^2*x^3-4*P*x^4+x^5-3* P^2*x^2+3*P*x^3+2*x^4+6*P*x^2+P^2-3*x^2-2*P+1, ((x^3-x)*C-x^3-x^2+1)/((x^4+x^3- x)*C-x^4-2*x^3-x^2+1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-2*(n-2)*(22*n-\ 139)*a(n-2)-9*(n-3)*(11*n-48)*a(n-3)+(146*n^2-1704*n+4516)*a(n-4)+(292*n^2-2538 *n+5204)*a(n-5)+(-134*n^2+2448*n-9604)*a(n-6)+(-405*n^2+4173*n-8940)*a(n-7)+(-\ 103*n^2-897*n+11740)*a(n-8)+(113*n^2-1311*n+1048)*a(n-9)+(-32*n^2+3336*n-28624) *a(n-10)+(-40*n^2+1830*n-13988)*a(n-11)+(244*n^2-5808*n+34592)*a(n-12)+(377*n^2 -9069*n+54460)*a(n-13)+(210*n^2-5190*n+31920)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15 ) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 11, a (8) = 28, a(9) = 77, a(10) = 224, a(11) = 688, a(12) = 2200, a(13) = 7255, a(14 ) = 24504, a(15) = 84319}, [0, 0, 1, 1, 2, 5, 11, 28, 77, 224, 688, 2200, 7255, 24504, 84319, 294476, 1040883, 3716054, 13378544, 48512663, 177012658, 649413575, 2394043787, 8863575974, 32942820245, 122864103287, 459687083563, 1724852880079, 6489170852919, 24472682307596, 92501292574483, 350360970820539, 1329599922753833, 5054822974793704, 19249471186971324, 73419725265094013, 280443530345322305, 1072700040766713563, 4108433443828803177, 15754593400909587801, 60484166383669498909, 232462397215714488307, 894366090145575503118, 3444344135360268702424, 13277156320133799245201, 51226088155024732950326, 197809245146262244472367, 764459000541777347302046, 2956637893906242047018498, 11443623748054987052930088], 10326233048713148358626\ 0961062218843507204440422998253183705505547310296769796911260492169908614958825\ 1603259539344504651267502003028621741339674437840551766984814783216142467532798\ 6058517695381760959853523899590343238854930557205627526072551357934567857303656\ 9333875077042131232358931228289133395547643732784632616194646598337979621009893\ 1346771449174734768390488186054582708069779249875054577970052233029505134728597\ 5210154632347189485556263744734823009010108860543560759738765888359706533611386\ 3220276138119023190685404467645090721649826301818272128024146659781481875730676\ 99385402224861503097] ---------------------------- (A,B)= , {1, 2, 5}, {3} [4*P^2*x^7+11*P^2*x^6+18*P^2*x^5-8*P*x^6+13*P^2*x^4-22*P*x^5+P^2*x^3-24*P*x^4+4 *x^5-6*P^2*x^2-7*P*x^3+11*x^4-4*P^2*x+12*P*x^2+6*x^3+2*P^2+8*P*x-6*x^2-4*P-4*x+ 2, ((x^3+x^2-x)*C-2*x^3-3*x^2+1)/((x^4+x^3+x^2-x)*C-2*x^4-3*x^3-3*x^2+1), {-12* n*(n-3)*a(n)+144*(n-1)*(n-4)*a(n-1)-40*(n-2)*(14*n-71)*a(n-2)+6*(n-3)*(91*n-656 )*a(n-3)+16*(61*n-250)*(n-5)*a(n-4)+(-914*n^2+14970*n-52792)*a(n-5)+(-1958*n^2+ 21558*n-56104)*a(n-6)+(-101*n^2-13173*n+94568)*a(n-7)+(2015*n^2-30093*n+104800) *a(n-8)+(566*n^2+11934*n-155696)*a(n-9)+(-593*n^2+28011*n-202840)*a(n-10)+(1414 *n^2-31902*n+187040)*a(n-11)+(4430*n^2-107322*n+646864)*a(n-12)+(4632*n^2-\ 112428*n+681168)*a(n-13)+224*(11*n-127)*(n-13)*a(n-14)+320*(2*n-23)*(n-14)*a(n-\ 15) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 11, a(7) = 27 , a(8) = 70, a(9) = 187, a(10) = 516, a(11) = 1472, a(12) = 4347, a(13) = 13267 , a(14) = 41761, a(15) = 135162}, [0, 0, 1, 2, 4, 11, 27, 70, 187, 516, 1472, 4347, 13267, 41761, 135162, 448264, 1518097, 5232923, 18307363, 64846888, 232092879, 837979442, 3048105444, 11158074675, 41071227423, 151904933075, 564213612932, 2103524977967, 7868885339768, 29525426609652, 111089781425717, 419026921425754, 1584195117902046, 6001986304789315, 22784064184106659, 86647411523022863, 330075532441836768, 1259375793762612135, 4812131805611763894 , 18412808351751918690, 70545092395567384163, 270610723993909644295, 1039261057731817259453, 3995566103918354427310, 15377325462598809686885, 59239163416972617779626, 228423742756244039801226, 881572394466791577717367, 3405185494824782735549335, 13163536030377678992754673], 11328049113056798696288\ 9378665332975513593371506451412698529870709862916174986261875990408060432730691\ 2461115033090670545025752205081874802134370937969639506419355113906329474738615\ 9202609534722825542183165678912230571401921796946597379993271836626563405134149\ 4698043272204147538290476687542195567150198917546037762125107390604471814338241\ 1309563619865679635117031364208696252895755332597171217447614660076147885879961\ 5946415742830132021256353900745239776409608110816726087929779484849856712401130\ 3593625831634372812719211022363245255107922083495862203560700847727087744406811\ 62668342503613576739] ---------------------------- (A,B)= , {1, 2, 5}, {4} [P^2*x^6+5*P^2*x^4-P^2*x^3-5*P*x^4+6*P^2*x^2-5*P^2*x-12*P*x^2+x^3+P^2+10*P*x+6* x^2-2*P-5*x+1, (C*x^2+2*x-1)/(C*x^2+x^3+2*x-1), {4*n*(n-4)*a(n)-3*(n-1)*(23*n-\ 110)*a(n-1)+21*(n-2)*(23*n-127)*a(n-2)+(-1756*n^2+16192*n-32760)*a(n-3)+(3533*n ^2-38291*n+96474)*a(n-4)+(-3992*n^2+48344*n-141144)*a(n-5)+(2947*n^2-36043*n+ 108570)*a(n-6)+(-2359*n^2+29179*n-87570)*a(n-7)+(1539*n^2-21897*n+77934)*a(n-8) +(-433*n^2+5437*n-16710)*a(n-9)+(340*n^2-5530*n+22740)*a(n-10)-5*(n-10)*(n-9)*a (n-11)+10*(n-10)*(2*n-21)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 39, a(8) = 111, a(9) = 323, a(10) = 958, a(11) = 2895, a(12) = 8910}, [0, 0, 1, 2, 5, 14, 39, 111, 323, 958, 2895, 8910, 27914, 88966, 288254, 948666, 3168319, 10727013, 36779073, 127564155, 447101171, 1581961057, 5645337430, 20300737381, 73505458874, 267797105094, 981062284926, 3612008218628, 13358196004202, 49602653132769, 184864634045909, 691271160154903 , 2592746559076254, 9751587411266656, 36770033997889216, 138972069666242023, 526377199202762494, 1997710534210004475, 7595762671100897864, 28930600908612049455, 110367281406513616372, 421671843835902160960, 1613314803881340605609, 6180684894450509227297, 23707902365373227792887, 91045346035594199486027, 350027489491273367214933, 1347101656497171770314645, 5189535984536062061287650, 20010807912193379618361601], 15673816741464469441396\ 6902280355107001862847624657191445678083938423012998608865273861274499215768634\ 3601741821496421547216494786203581299090725494683415579590584490315636926045609\ 6440599565065320047472992676773279791049645000922289146892829560016770736549706\ 6792723850692269142628368631793600768531100899805579150720088792873707221469939\ 4985971387063618813422898517508761073870880594522639185581933341154400461637459\ 6042927750126322645083607884382152546511479086391631141910623762978554739123696\ 7133378201347908265232638932651855772858104193239747677951134580419872742663169\ 18792924898938388699] ---------------------------- (A,B)= , {1, 2, 5}, {5} [P^2*x^9+2*P^2*x^8+2*P^2*x^7-2*P*x^8-P^2*x^6-4*P*x^7-3*P^2*x^5+x^7+2*P^2*x^4+5* P*x^5+2*x^6+3*P^2*x^3+2*P*x^4-2*x^5+5*P^2*x^2-8*P*x^3-4*x^4-5*P^2*x-10*P*x^2+5* x^3+P^2+10*P*x+5*x^2-2*P-5*x+1, ((x^4+x^3-x^2)*C-x^2-2*x+1)/((x^5+x^4+x^3-x^2)* C-x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)-38*(n-2)*(16*n-105 )*a(n-2)+(2142*n^2-22128*n+47076)*a(n-3)+(-3806*n^2+46144*n-123252)*a(n-4)+( 2595*n^2-35925*n+112452)*a(n-5)+(553*n^2-11915*n+57396)*a(n-6)+(169*n^2+6649*n-\ 61872)*a(n-7)+(-2033*n^2+32143*n-123552)*a(n-8)+(-300*n^2-876*n+32604)*a(n-9)+( 1092*n^2-16338*n+51144)*a(n-10)+(293*n^2-1417*n-19224)*a(n-11)+(-135*n^2+1035*n +16524)*a(n-12)+(-286*n^2+1568*n+20424)*a(n-13)+(-57*n^2+117*n+6888)*a(n-14)+(-\ 129*n^2+4611*n-39660)*a(n-15)+(-14*n^2+592*n-5616)*a(n-16)+(107*n^2-3535*n+ 29088)*a(n-17)+2*(53*n-828)*(n-17)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 38, a(8) = 105, a(9) = 294, a(10) = 832, a(11) = 2382, a(12) = 6903, a(13) = 20263, a(14) = 60298, a(15) = 182054, a(16) = 558123, a(17) = 1738445, a(18) = 5503834, a(19) = 17713123}, [0, 0, 1, 2, 5, 14, 38, 105, 294, 832, 2382, 6903, 20263, 60298, 182054, 558123, 1738445, 5503834, 17713123, 57939050, 192524486, 649406304, 2221519779, 7698622530, 26995996653, 95674959239, 342306108020, 1235048397972, 4489329779126, 16425795046393, 60448046511279, 223591506788414, 830789218371870 , 3099340859645196, 11603846140577280, 43583941110178300, 164173667140380192, 620030197036044980, 2347203571174539269, 8904863698985250222, 33850420026380250337, 128911776694552248354, 491759378769064262021, 1878845407530373486803, 7188869148398771939855, 27543501539496751543852, 105664487152371228540991, 405841391857999605645794, 1560523626162158773148275, 6006801086699458417925049], 444257171921019243061793121027018671418648132685523\ 3160731864283673423874087413290987118350020717588819232963446581493800431153690\ 4259913986929120027694771771726962706585477306388597331941522414618197475517335\ 5641433465663453257757901327716367940079966883709841356127729348598240163692399\ 5121293387075227250611099373750656167867159749518395738105170439992243643850313\ 3098626578691074537521709754917569606824036646557043769218979628919359491152558\ 2577818406579008743388923197047199991950955460466329656286995474515535180270589\ 9795792446632363681118415174399022170923899962805440749489680849997554] ---------------------------- (A,B)= , {1, 2, 5}, {1, 2} [P^2*x^7+2*P^2*x^6-3*P^2*x^3+3*P*x^3+P^2-2*P+1, (-C*x+1)/((x^4-x)*C-x^4-x^3+1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-28*(n-2)*(2*n-11)*a(n-2)+9*n*(n-3)*a( n-3)+(-81*n^2+459*n-504)*a(n-4)+(180*n^2-1458*n+2664)*a(n-5)-6*n*(n-3)*a(n-6)+( 58*n^2-402*n+728)*a(n-7)+(-122*n^2+1296*n-3568)*a(n-8)-28*(n-2)*(2*n-11)*a(n-9) -6*(n-8)*(n-7)*a(n-10)+3*(n-8)*(7*n-61)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a (1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 17, a(9) = 49, a(10) = 150, a(11) = 477, a(12) = 1570}, [0, 0, 1, 1, 1, 3, 7, 17, 49, 150, 477, 1570, 5295, 18186, 63381, 223548, 796354, 2860966, 10353329, 37705065, 138082740, 508188210, 1878562129, 6971850354, 25967264026, 97032486568, 363661294167, 1366651480242, 5148778548688, 19442514691816, 73574598978324, 278974255159262, 1059745405651914, 4032613334772625, 15369894596127077, 58669267286071620, 224267378703912521, 858422202828815147, 3289894831699053032, 12623475549896993891, 48491298530581161026, 186470838852935590179, 717788594354972885401, 2765659826083874049083, 10665892896330477983346, 41169258849037869574629, 159040852610725914492006, 614876365305751674696694, 2379003582596798800616626, 9211202161118828412538771] , 84331815316306995703604367888910462717726946270242509487457385814109351493430\ 3088592784797565683907636040861274556795998934002176112986816397054709059058194\ 8203979140860944952738860673690850543262632146111049849681012296314862855862666\ 7310380428463167522324220434167302710785525409575558978124171033958211608942169\ 1328590820181927376847743385226601552966723590378677589372642423232769625725554\ 0686356477783226892740276246636554926955378087305632538757985229824951144545968\ 8181063727292955619584478911183683717246768348088972188944944075471477487632120\ 29550821009386924518898974158408898978520182] ---------------------------- (A,B)= , {1, 2, 5}, {1, 3} [4*P^2*x^7+3*P^2*x^6+8*P^2*x^5+2*P^2*x^4-8*P*x^5-P^2*x^3-2*P*x^4-P^2*x^2-3*P*x^ 3-4*P^2*x+2*P*x^2+4*x^3+2*P^2+8*P*x-x^2-4*P-4*x+2, ((x^2-x)*C-2*x^2+1)/((x^4+x^ 2-x)*C-2*x^4-x^3-2*x^2+1), {-12*n*(n-3)*a(n)+144*(n-1)*(n-4)*a(n-1)-60*(n-2)*( 10*n-49)*a(n-2)+6*(n-3)*(163*n-936)*a(n-3)+(-433*n^2+4425*n-10676)*a(n-4)+(-27* n^2+1479*n-7332)*a(n-5)+(-138*n^2+3594*n-14880)*a(n-6)+(-642*n^2-564*n+32616)*a (n-7)+(621*n^2-2787*n-15516)*a(n-8)+(-126*n^2-546*n+4056)*a(n-9)+(412*n^2-2064* n-7432)*a(n-10)+(-110*n^2+2388*n-11392)*a(n-11)+(584*n^2-13740*n+79720)*a(n-12) +(96*n^2-2592*n+16800)*a(n-13)+192*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 7, a(7) = 16, a(8) = 38, a(9) = 96, a (10) = 261, a(11) = 751, a(12) = 2277, a(13) = 7205, a(14) = 23588}, [0, 0, 1, 2, 3, 7, 16, 38, 96, 261, 751, 2277, 7205, 23588, 79295, 272128, 949186, 3353978, 11977027, 43145371, 156574823, 571812691, 2099756100, 7747783349, 28710654800, 106799577051, 398650020161, 1492689553478, 5605082058560, 21102047056541, 79635345499840, 301193321123112, 1141489032393283, 4334326939482874, 16486876539416600, 62816095565470974, 239702938647264667, 916018040680098149, 3505299541432030505, 13430810695260820913, 51523316054291338124, 197879590928736256179, 760794372793982230022, 2928048278418420692115, 11280056290288306830509, 43495619191863380200652, 167865570938641914089216, 648397947626761981565313, 2506506217212390211446060, 9696779043957836862721640], 858299836949357080224673485406012324056551387355937\ 6215672171605314574545633453589865813768036472287163154880216948673075587687554\ 1485327422240024592452574638279754214914549958547452646784266290030561851877283\ 4976594270607006888641581546494238174113957041947587155491145779699163686665025\ 2693624011928285066303525765756030385776325851852990956525987680186407452751176\ 4419042109974116284799987339076714083629456653874205480896361305444262360518825\ 3330189752963530484050737428482705885734634740881054882298229222072720817560297\ 3043399646021889805144841182549382887251433257229229231376777232252665] ---------------------------- (A,B)= , {1, 2, 5}, {1, 4} [P^2*x^6-2*P^2*x^5+6*P^2*x^4+2*P*x^5-6*P^2*x^3-7*P*x^4+8*P^2*x^2+10*P*x^3+x^4-5 *P^2*x-16*P*x^2-4*x^3+P^2+10*P*x+8*x^2-2*P-5*x+1, (C*x^2-x^2+2*x-1)/(C*x^2+x^3- x^2+2*x-1), {4*n*(n-4)*a(n)-3*(n-1)*(23*n-110)*a(n-1)+15*(n-2)*(33*n-181)*a(n-2 )+(-1935*n^2+17619*n-35430)*a(n-3)+(4577*n^2-48581*n+120930)*a(n-4)+(-7018*n^2+ 83590*n-241740)*a(n-5)+(7596*n^2-97710*n+311340)*a(n-6)+(-6389*n^2+86873*n-\ 294366)*a(n-7)+(4188*n^2-60492*n+217800)*a(n-8)+(-1993*n^2+30349*n-115218)*a(n-\ 9)+(706*n^2-11398*n+45636)*a(n-10)+(-122*n^2+1982*n-7596)*a(n-11)+(6*n^2-72*n+ 72)*a(n-12)+4*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 10, a(7) = 26, a(8) = 69, a(9) = 190, a(10) = 542, a(11) = 1596, a(12) = 4841, a(13) = 15091}, [0, 0, 1, 2, 4, 10, 26, 69, 190, 542, 1596, 4841, 15091, 48224, 157552, 524904, 1779000, 6119977, 21327794, 75165455, 267500711, 960104703, 3471643447, 12635189948, 46251549652, 170171564127, 628961974760, 2334178314849, 8694418746788, 32493223989754, 121803512665754, 457854517303769, 1725424663055907, 6517445784735478, 24671416178383248, 93578685329113907, 355602194347570959, 1353634436687881314, 5161051752619368665 , 19707435205183867405, 75359239799346547893, 288549651278838494706, 1106238168180841975895, 4246098299037004661161, 16316109479549479654488, 62762821742894789232687, 241670563637877859439886, 931447717219474030415680, 3593240428597308994462973, 13873570831337961178134154], 11354506145702537393838\ 9561872862930726316713043297499073195634316479527910961057607950749104896638181\ 8073747407000596751904367636577437681834394374901601061927213359881373123419574\ 4791639458264477935532870277164559104385504083021997086909329497934808392749855\ 3088363345059035273998691989473900590652677779373386804447807750549803694308873\ 0849485361004036049113952309099281693803976401853723040680006987768446286964946\ 9802504256067208542705719408436163763608699483433840907514779093343035254957197\ 2963991730019790713320394477154397854372883729947785459770909941592794092187233\ 70697168201480685889] ---------------------------- (A,B)= , {1, 2, 5}, {1, 5} [P^2*x^9+P^2*x^7-P^2*x^6-2*P*x^7-2*P^2*x^5+2*P*x^6+4*P^2*x^4+P*x^5-3*P^2*x^3-2* P*x^4+x^5+7*P^2*x^2+4*P*x^3-2*x^4-5*P^2*x-14*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x +1, ((x^3-x^2)*C-2*x+1)/((x^5+x^3-x^2)*C-x^3-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*( 29*n-168)*a(n-1)-6*(n-2)*(104*n-679)*a(n-2)+(2390*n^2-24400*n+51660)*a(n-3)+(-\ 5318*n^2+62788*n-165636)*a(n-4)+(7152*n^2-94290*n+290340)*a(n-5)+(-6352*n^2+ 88808*n-298176)*a(n-6)+(4734*n^2-67926*n+235608)*a(n-7)+(-3001*n^2+48467*n-\ 190692)*a(n-8)+(684*n^2-17826*n+103644)*a(n-9)+(443*n^2+329*n-45504)*a(n-10)+(-\ 464*n^2+1882*n+27276)*a(n-11)+(478*n^2-3962*n-6864)*a(n-12)+(-327*n^2+3387*n+ 1152)*a(n-13)+(76*n^2-1124*n+2664)*a(n-14)+(-72*n^2+1908*n-12864)*a(n-15)+(36*n ^2-1032*n+7440)*a(n-16)+(-22*n^2+614*n-4272)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 10, a(7) = 25, a( 8) = 63, a(9) = 163, a(10) = 432, a(11) = 1172, a(12) = 3260, a(13) = 9308, a( 14) = 27298, a(15) = 82242, a(16) = 254392, a(17) = 806911, a(18) = 2619898}, [ 0, 0, 1, 2, 4, 10, 25, 63, 163, 432, 1172, 3260, 9308, 27298, 82242, 254392, 806911, 2619898, 8688433, 29361786, 100877262, 351573849, 1240469844, 4423263230, 15916040646, 57718216142, 210725016798, 773858151496, 2856471800055 , 10591472270369, 39429257176059, 147309327593293, 552120218101361, 2075365792244977, 7821648445215524, 29549174316191630, 111879267589946658, 424458928814926643, 1613381781527690166, 6143208666796167152, 23429213396237059671, 89490648269628713770, 342304823358494997646, 1311069768789442348438, 5027841334403649367881, 19304073584175765296687, 74199230026965409490434, 285500367585363167003717, 1099630372862056973478384, 4239331824950774567765378], 328559173343357211406271111421789528382426508945607\ 3948597300328732703391625789294686485820024261685858978641740314677226995956427\ 7219476875533239901867859866520144321779863978757357503778698587332678800852173\ 2633102631185619052461271804643001261950880020642564673391180577190884398319509\ 2088720708930688939953898571261201592671463677200081406409599900764003349268639\ 2113952081986266366814771640703797645998137544003688547865812296784612022764582\ 1349675283799467790618771494439858540910681992342982425024867880909567100271206\ 7166694156590224401894505454145088674570717146214687391433105896687438] ---------------------------- (A,B)= , {1, 2, 5}, {2, 3} [4*P^2*x^7+11*P^2*x^6+10*P^2*x^5-8*P*x^6-P^2*x^4-14*P*x^5-9*P^2*x^3-2*P*x^4+4*x ^5-5*P^2*x^2+13*P*x^3+3*x^4+P^2*x+10*P*x^2-4*x^3+2*P^2-2*P*x-5*x^2-4*P+x+2, ((x ^3-x)*C-2*x^3-x^2+x+1)/((x^4+x^3-x)*C-2*x^4-3*x^3-x^2+x+1), {-12*n*(n-3)*a(n)+2 *(n-1)*(47*n-208)*a(n-1)-2*(n-2)*(49*n-370)*a(n-2)-3*(n-3)*(155*n-796)*a(n-3)+( 127*n^2-2757*n+9164)*a(n-4)+(1369*n^2-13767*n+33764)*a(n-5)+(697*n^2-2673*n-\ 8332)*a(n-6)+(-1464*n^2+18714*n-55944)*a(n-7)+(-1537*n^2+8721*n+22444)*a(n-8)+( 136*n^2-9396*n+59000)*a(n-9)+(-14*n^2+12534*n-122992)*a(n-10)+(-1208*n^2+37272* n-253984)*a(n-11)+(22*n^2-126*n+536)*a(n-12)+(2168*n^2-53676*n+331120)*a(n-13)+ (2080*n^2-51840*n+321440)*a(n-14)+320*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a( 2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 4, a(7) = 6, a(8) = 14, a(9) = 37, a(10) = 99, a(11) = 296, a(12) = 934, a(13) = 3057, a(14) = 10312, a(15) = 35504}, [0, 0, 1, 1, 1, 4, 6, 14, 37, 99, 296, 934, 3057, 10312, 35504, 124159, 439567, 1571744, 5666694, 20574629, 75157756, 276011322, 1018414845, 3773521113 , 14034856443, 52378246217, 196083303729, 736139199882, 2770810486449, 10454217804419, 39530730839501, 149784305169714, 568621257540336, 2162463798241179, 8237451177929840, 31427460683583788, 120076111548935071, 459406397781348077, 1759932821582389065, 6750286959609345763, 25920689369759689427, 99641998509798049356, 383429362239728298699, 1476905530417793073863, 5694079396076031778815, 21972442322522550516732, 84859232141469525770600, 327996340397878949348342, 1268739194201320802483019, 4911278139336340330980852], 445585653245896552575607380825068413417113627355815\ 6263643011447375733595119161164302600688869225551211394091279572629790778572591\ 0799679589329961439603331069495677612215442643905712202495288741260238839778631\ 2293227107501049908691771742395112955655933328421464972827805294715151000768436\ 9273407832299441697639124394654659797273451753537030667399704933901146725883748\ 5036833176868866083808368062148245973727446436491814449472495269826727636200678\ 0731267228305368258381516780264694373354842340764696907197516564968285692839617\ 2121215041932523243492856359314750781812205862206046386005591495797803] ---------------------------- (A,B)= , {1, 2, 5}, {2, 4} [P^2*x^6+3*P^2*x^4-P^2*x^3-3*P*x^4+2*P^2*x^2-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^ 2-2*P-3*x+1, (C*x^2+x-1)/(C*x^2+x^3+x-1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n -1)+3*(n-2)*(97*n-553)*a(n-2)+(-756*n^2+7080*n-14424)*a(n-3)+(1055*n^2-11369*n+ 28446)*a(n-4)+(-934*n^2+10498*n-28548)*a(n-5)+(851*n^2-9263*n+24114)*a(n-6)+(-\ 777*n^2+9417*n-27750)*a(n-7)+(421*n^2-5407*n+17538)*a(n-8)+(-225*n^2+2793*n-\ 8430)*a(n-9)+(116*n^2-1898*n+7860)*a(n-10)-3*(n-10)*(n-9)*a(n-11)+6*(n-10)*(2*n -21)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a (7) = 11, a(8) = 27, a(9) = 71, a(10) = 196, a(11) = 570, a(12) = 1732}, [0, 0, 1, 1, 2, 5, 11, 27, 71, 196, 570, 1732, 5458, 17727, 59012, 200434, 692073, 2422350, 8575284, 30649041, 110441344, 400778540, 1463322748, 5371746225, 19813592823, 73393891126, 272908388009, 1018294571033, 3811460874314, 14307094850734, 53845471689909, 203138959554352, 768073690873381, 2910091262729481, 11046903992144296, 42009515207560426, 160020827233860313, 610493072943104698, 2332482336051578389, 8923828547524276587, 34185703043579505938, 131119249962326410873, 503486567298962603250, 1935450298030274359873, 7447734460264926296609, 28687426365236587398145, 110602044980174160604642, 426795025731346435484453, 1648321843243830524237183, 6371097647932480899046697], 543253535670944614363283111480304969818629432107628\ 1453343985273262485965278027352658399652576437192117570304915104689979547124098\ 9715005983487771216304685303151070721529869661211503889251240845378312254953068\ 5445219149542307142620291374453418988292046494225168248145273147582230937197804\ 9761336339788317433271349781072662434576104312268690646455454095681593850469630\ 4483186323134618283650323597697013948553080679832034668527689878630397273157303\ 9742941359643335245726293369283921769727478939099287338330552625787954002148056\ 4926201168894688226396143446667677229034681150702347972945869250268850] ---------------------------- (A,B)= , {1, 2, 5}, {2, 5} [P^2*x^9+2*P^2*x^8-2*P*x^8-3*P^2*x^6-2*P*x^7-2*P^2*x^5+4*P*x^6+x^7+4*P^2*x^4+5* P*x^5+3*P^2*x^3-4*P*x^4-3*x^5-8*P*x^3-3*P^2*x+5*x^3+P^2+6*P*x-2*P-3*x+1, ((x^4- x^2)*C-x^2-x+1)/((x^5+x^4-x^2)*C-x^3-x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-\ 136)*a(n-1)-4*(n-2)*(88*n-597)*a(n-2)+(763*n^2-8171*n+17616)*a(n-3)+(-412*n^2+ 5516*n-15096)*a(n-4)+(-694*n^2+9998*n-34272)*a(n-5)+(136*n^2-6014*n+34116)*a(n-\ 6)+(1459*n^2-20765*n+71940)*a(n-7)+(-125*n^2+5989*n-40512)*a(n-8)+(-1303*n^2+ 20849*n-79044)*a(n-9)+(-340*n^2+2696*n+2976)*a(n-10)+(691*n^2-10499*n+29832)*a( n-11)+(343*n^2-3917*n+5148)*a(n-12)+(-130*n^2+830*n+10656)*a(n-13)+(-13*n^2-\ 2551*n+35136)*a(n-14)+(-73*n^2+2327*n-19140)*a(n-15)+(-140*n^2+4672*n-38592)*a( n-16)+(-23*n^2+655*n-4632)*a(n-17)+(82*n^2-2726*n+22584)*a(n-18)+20*(2*n-31)*(n -18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a (7) = 10, a(8) = 23, a(9) = 55, a(10) = 136, a(11) = 355, a(12) = 972, a(13) = 2788, a(14) = 8352, a(15) = 25994, a(16) = 83588, a(17) = 276218, a(18) = 933441, a(19) = 3212705}, [0, 0, 1, 1, 2, 5, 10, 23, 55, 136, 355, 972, 2788, 8352, 25994, 83588, 276218, 933441, 3212705, 11224294, 39701142, 141872925, 511375059, 1856795838, 6784678040, 24927469729, 92028278882, 341208890414, 1269922253820, 4742692489824, 17767328434689, 66749350053319, 251416911056765, 949232761218676, 3591709304122298, 13617854569354767, 51728753451420773, 196840592839108938, 750249946911264876, 2863916055115203302, 10948038121808810841, 41907961727374067365, 160622676348416291972, 616362307500265356319, 2367857763150906428807, 9106242870244299842804, 35056032271809849354150, 135083995363702024424552, 521005138284601946454286, 2011212504637621836998232], 163126734117302199070573497216265911177848026427827\ 9009698102676550255100336955542208618198554612270082550574487738277516611347074\ 6965274413364487850489352816176804190590205690995566269616622440306084017745512\ 4268282689991900682245189853313077263332820544114299870093310682855525242780757\ 3908751886187832982482809200970560026195209754288963951981853707926244371310614\ 8704287114424367242584351820860008876001701673425400363963487726069765484849264\ 9672660271842898274362812791222391687073053969332071704317375032309242252589035\ 5926475529134145328503781267733383451580993675772094712788938928658074] ---------------------------- (A,B)= , {1, 2, 5}, {3, 4} [P^2*x^10-P^2*x^8-2*P*x^9-P^2*x^7+4*P^2*x^6+4*P*x^7+x^8+11*P^2*x^5+8*P^2*x^4-12 *P*x^5-3*x^6+2*P^2*x^3-17*P*x^4+x^5-4*P^2*x^2-6*P*x^3+9*x^4-2*P^2*x+8*P*x^2+4*x ^3+P^2+4*P*x-4*x^2-2*P-2*x+1, ((x^4+x^3)*C-x^4+2*x^2+x-1)/((x^5+x^4+x^3)*C-x^5+ x^3+2*x^2+x-1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)-12*(n-2)*(15*n-92)*a(n-2 )+(101*n^2-1337*n+3090)*a(n-3)+(628*n^2-6508*n+16128)*a(n-4)+(-533*n^2+7991*n-\ 27162)*a(n-5)+(-1196*n^2+16286*n-53988)*a(n-6)+(10*n^2-6886*n+48060)*a(n-7)+( 1705*n^2-28117*n+113010)*a(n-8)+(1383*n^2-13413*n+8622)*a(n-9)+(-516*n^2+14166* n-84192)*a(n-10)+(-655*n^2+5713*n+22974)*a(n-11)+(-n^2-4277*n+38550)*a(n-12)+(-\ 122*n^2+9986*n-112344)*a(n-13)+(-557*n^2+20501*n-167166)*a(n-14)+(-277*n^2+5251 *n-15882)*a(n-15)+(567*n^2-21927*n+201450)*a(n-16)+(443*n^2-14669*n+121350)*a(n -17)+(10*n^2+98*n-4020)*a(n-18)+(-147*n^2+4761*n-38430)*a(n-19)-2*(19*n-270)*(n -19)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 11, a(7) = 27, a(8) = 69, a(9) = 181, a(10) = 486, a(11) = 1340, a(12) = 3804, a(13) = 11125, a(14) = 33529, a(15) = 104048, a(16) = 331871, a(17) = 1085324, a(18) = 3628870, a(19) = 12368994, a(20) = 42858496, a (21) = 150586847}, [0, 0, 1, 2, 4, 11, 27, 69, 181, 486, 1340, 3804, 11125, 33529, 104048, 331871, 1085324, 3628870, 12368994, 42858496, 150586847, 535351245, 1922185562, 6959806884, 25380769884, 93127629932, 343526735859, 1273087980567, 4737312584084, 17692235962765, 66289489882823, 249102646131352, 938566742430735, 3544896322782195, 13418552294074137, 50897335204964283, 193421416833097868, 736334093614491672, 2807717336251686924, 10722421343189386833, 41006343172496635012, 157032558040940043796, 602107786806145867803, 2311389667198008103596, 8882960495273302132080, 34174455906861163408439, 131607495283997077108907, 507308931615784197228498, 1957296881882119164488262, 7558127000288445270316412], 623186853624371775779587\ 2479046878329126464650554997909262315255413747219482710915525942194242203160246\ 1514445499605740773767605108788911255373748294321283877887258778704720189764956\ 1475054535895939048312244664722197746223808720936668718378976533368107516386575\ 5720245694995347057249298752987892972625031989063459712376351921811648523291669\ 8478141687240923729357457225269777216170283547979371392904826436365076149734476\ 8512957261297313716066719189790828796414884494639887914012138050928942269158855\ 8460307028003662070538152444429938393290188880596250270232572988813897744941122\ 024451773347032659] ---------------------------- (A,B)= , {1, 2, 5}, {3, 5} [P^2*x^9+2*P^2*x^8+4*P^2*x^7-2*P*x^8+3*P^2*x^6-4*P*x^7+5*P^2*x^5-4*P*x^6+x^7+4* P^2*x^4-5*P*x^5+2*x^6+3*P^2*x^3-6*P*x^4-P^2*x^2-8*P*x^3+2*x^4-3*P^2*x+2*P*x^2+5 *x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((x^4+x^3-x^2)*C-x^3-2*x^2-x+1)/((x^5+x^4+x^3-x^2 )*C-x^4-2*x^3-2*x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-2*(n-2)*( 172*n-1173)*a(n-2)+(674*n^2-7324*n+15876)*a(n-3)+(-92*n^2+1774*n-5268)*a(n-4)+( -1057*n^2+14675*n-48324)*a(n-5)+(253*n^2-5003*n+22668)*a(n-6)+(607*n^2-12641*n+ 58944)*a(n-7)+(805*n^2-11231*n+37536)*a(n-8)+(-108*n^2+1368*n-5964)*a(n-9)+(-\ 240*n^2+8586*n-59616)*a(n-10)+(-323*n^2+11791*n-91392)*a(n-11)+(-421*n^2+10925* n-65508)*a(n-12)+(-300*n^2+4542*n-8160)*a(n-13)+(-109*n^2-571*n+26040)*a(n-14)+ (121*n^2-5231*n+50052)*a(n-15)+(178*n^2-5924*n+48864)*a(n-16)+(203*n^2-6655*n+ 54432)*a(n-17)+2*(53*n-828)*(n-17)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 11, a(7) = 26, a(8) = 65, a (9) = 163, a(10) = 416, a(11) = 1077, a(12) = 2846, a(13) = 7687, a(14) = 21302 , a(15) = 60717, a(16) = 178363, a(17) = 540422, a(18) = 1688006, a(19) = 5425858}, [0, 0, 1, 2, 4, 11, 26, 65, 163, 416, 1077, 2846, 7687, 21302, 60717, 178363, 540422, 1688006, 5425858, 17900294, 60418485, 207953463, 727601866, 2580768691, 9257846525, 33522396063, 122333424529, 449363848846, 1659828810259, 6160246297535, 22957717107813, 85868654030783, 322208170418715, 1212514108589109, 4574699519754852, 17300570341771765, 65568045148718011, 248990157667330499, 947249394107779932, 3609781397695774140, 13777829136808192043, 52664570409752620278, 201582783802871360692, 772589506139826669482, 2964636593713725800243, 11389148660695828834471, 43800662559812291322020, 168622112687356315920436, 649784967866606130970819, 2506252163965795304731961], 197730841558510818704670888441640602392698057882542\ 2384279643955355179465534409171490235872574125371653115460264890317249539691299\ 7151022164872111678618646410071327179536658865658863324995358883141376333126432\ 8406475231736824626387420357638047797834415567864932611337325736160668419204775\ 0646101534165086563135008875873988550465689018140279082433119159289955119312179\ 4336512615958456244853517740630295325857522051533474833402204341803697807220818\ 4005035918740044159111225863027210657533490988483236234914456352291713792151269\ 4574358039521916787296458690862650778928010989534720289695682020267701] ---------------------------- (A,B)= , {1, 2, 5}, {4, 5} [P^2*x^6+4*P^2*x^5+6*P^2*x^4-5*P*x^5+4*P^2*x^3-8*P*x^4+x^5+P^2*x^2-10*P*x^3+2*x ^4-4*P^2*x-2*P*x^2+6*x^3+P^2+8*P*x+x^2-2*P-4*x+1, (C*x^3+x^2+2*x-1)/(C*x^3+x^3+ x^2+2*x-1), {5*n*(n-5)*a(n)-6*(n-1)*(13*n-76)*a(n-1)+2*(n-2)*(232*n-1551)*a(n-2 )+(-1250*n^2+13216*n-28368)*a(n-3)+(1211*n^2-15373*n+41724)*a(n-4)+(556*n^2-\ 7826*n+27048)*a(n-5)+(-660*n^2+13602*n-61356)*a(n-6)+(-1278*n^2+20712*n-80352)* a(n-7)+(-518*n^2+4474*n-984)*a(n-8)+(920*n^2-19888*n+102864)*a(n-9)+(1236*n^2-\ 24816*n+124104)*a(n-10)+(644*n^2-13660*n+72576)*a(n-11)+(171*n^2-3909*n+22380)* a(n-12)+10*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 5, a(6) = 14, a(7) = 38, a(8) = 104, a(9) = 288, a(10) = 804, a(11) = 2265, a(12) = 6446, a(13) = 18550}, [0, 0, 1, 2, 5, 14, 38, 104, 288, 804, 2265 , 6446, 18550, 54044, 159610, 478452, 1457459, 4516046, 14243431, 45739086, 149525402, 497341904, 1681548431, 5772464626, 20091853460, 70804983792, 252276306620, 907557069104, 3292469120583, 12032148552854, 44250873587521, 163643569762154, 608091042859149, 2269194734206158, 8499429526711110, 31940248641818128, 120382050733172648, 454913124914640524, 1723164137630409605, 6541250860132078702, 24879919569653624859, 94802622052758883942, 361837350149301146091, 1383165888216609151230, 5294873401239995249884, 20296228696967359490972, 77896181916724408205931, 299312287924925117916770, 1151357792889736267907646, 4433494243885138266881532], 332229690148509341521521\ 3894556035615260325379398405070628747057588667417656583129757703591863248670702\ 4933162106332216189343259138793034368490507026387010896968029538464568125425276\ 9261247635413393431878806433036012849773462377029935923867934484432628208710658\ 2792424545860543785904612646154455489068271686110764395311319232416249985877939\ 4143527926992698269941883285119407007116416842275809449188809726233205741629928\ 9045287993570930453555317689415704918597421016763048429742837345816928885613609\ 2380243082735170531439575826143728429959856938945399239311648488012199024944600\ 853594219299489806] ---------------------------- (A,B)= , {1, 2, 5}, {1, 2, 3} [4*P^2*x^7+3*P^2*x^6-4*P^2*x^4-5*P^2*x^3+4*P*x^4+5*P*x^3+P^2*x+2*P^2-2*P*x-4*P+ x+2, (-C*x+x+1)/((x^4-x)*C-2*x^4-x^3+x+1), {12*n*(n-3)*a(n)-2*(n-1)*(47*n-208)* a(n-1)+6*(n-2)*(23*n-140)*a(n-2)+144*(n-3)*(n-7)*a(n-3)+(280*n^2-1878*n+2864)*a (n-4)+(-327*n^2+3357*n-7944)*a(n-5)+(-558*n^2+4716*n-8160)*a(n-6)+(-305*n^2+ 2613*n-5224)*a(n-7)+(214*n^2-3264*n+11552)*a(n-8)+(544*n^2-4596*n+8192)*a(n-9)+ (117*n^2-747*n-744)*a(n-10)-2*(n-8)*(34*n-319)*a(n-11)+(-80*n^2+1200*n-4336)*a( n-12)+32*(2*n-19)*(n-10)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a (5) = 0, a(6) = 2, a(7) = 4, a(8) = 7, a(9) = 21, a(10) = 66, a(11) = 205, a(12 ) = 676, a(13) = 2290}, [0, 0, 1, 1, 0, 2, 4, 7, 21, 66, 205, 676, 2290, 7879, 27508, 97188, 346694, 1246977, 4517133, 16464981, 60343715, 222233481, 821997156, 3052287028, 11373991475, 42520014197, 159421066074, 599327055717, 2258680228614, 8531706690494, 32294916322927, 122485344392440, 465400891685422, 1771375676676023, 6752846700448042, 25781767085805544, 98570916850414306, 377363112904895866, 1446478230090299629, 5551063038884338906, 21326748237427745897, 82022300731795414156, 315772729647034407093, 1216832966483008721007, 4693327617310843492515, 18117808021859469971790, 69998371218680621164501, 270652172215828613522043, 1047276312524045949341392, 4055300948685965631311600], 372746815033782347060951294074918778179709975320277\ 9950902983458729102099599941635994950547838797745910187872278077084638934284624\ 1828441753962344159108141859274290666565738991045402554062886702468987889914857\ 8495191344217599241668485666258540294617627605607735094748491484676548839618725\ 5667864182534837800267812527630121116396769729134972214439207810458081864369422\ 8605076390919641405490011908829856879254918071676048302743006862512519798901435\ 2550873894493331651092605356207860600354433517098178360924159047628218263712461\ 5934471368098874782457295467718118191020381408413055430215153722993810] ---------------------------- (A,B)= , {1, 2, 5}, {1, 2, 4} [P^2*x^6-2*P^2*x^5+4*P^2*x^4+2*P*x^5-4*P^2*x^3-5*P*x^4+4*P^2*x^2+6*P*x^3+x^4-3* P^2*x-8*P*x^2-2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, (C*x^2-x^2+x-1)/(C*x^2+x^3-x^2+x -1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n-1)+3*(n-2)*(101*n-569)*a(n-2)+(-905* n^2+8285*n-16698)*a(n-3)+(1739*n^2-18203*n+44838)*a(n-4)+(-2430*n^2+27930*n-\ 78324)*a(n-5)+(2696*n^2-33098*n+100812)*a(n-6)+(-2429*n^2+31685*n-102942)*a(n-7 )+(1740*n^2-24180*n+83688)*a(n-8)+(-951*n^2+14151*n-52326)*a(n-9)+6*(n-7)*(61*n -546)*a(n-10)+(-72*n^2+1152*n-4296)*a(n-11)+(-2*n^2+92*n-768)*a(n-12)+4*(2*n-23 )*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 16, a(9) = 43, a(10) = 124, a(11) = 373, a(12) = 1171, a(13 ) = 3800}, [0, 0, 1, 1, 1, 3, 7, 16, 43, 124, 373, 1171, 3800, 12644, 42925, 148123, 518026, 1832039, 6540733, 23541706, 85329229, 311188358, 1141036802, 4204019683, 15556011456, 57784733184, 215401696379, 805504622389, 3020993118451 , 11360283123258, 42824655127074, 161801356448016, 612606168153739, 2323949264950298, 8832016002740075, 33622395261599724, 128199337095842264, 489540238584389576, 1871964218916715889, 7167665047397390637, 27478713032860410468, 105468755433872801276, 405258961411179099236, 1558825814369123014520, 6001992175219072384053, 23131542444746171850238, 89228814754933330826962, 344491468301688939615962, 1331089859223765653422622, 5147255806318606932718220], 446550475758969080192920763678314125413560293852484\ 9553479659494250549947902885213263653504945743608004597796170328673196382415677\ 0399201948537838392381379405202948602406417182391222035313492806694094207731139\ 1857214088155301937261331533533022780917012977042370207159578390860150860120639\ 1452138337710309147944768979744843112480954019908279814639036100486162713671421\ 1575328565847881629867384263267778195416688721158897287948955611022330687725769\ 3249902163803466796945132090685147768637599874816934091166980941204678185396695\ 6022237018521565401184415374758995225430906152113666486115482142124590] ---------------------------- (A,B)= , {1, 2, 5}, {1, 2, 5} [P^2*x^9-P^2*x^7-P^2*x^6-P^2*x^5+2*P*x^6+4*P^2*x^4+P*x^5-P^2*x^3-4*P*x^4+2*P^2* x^2-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5-x^2)*C-x^ 3-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+8*(n-2)*(46*n-309)*a(n-2)+(-\ 969*n^2+10077*n-21480)*a(n-3)+(1384*n^2-16352*n+42888)*a(n-4)+(-1315*n^2+16067* n-45816)*a(n-5)+(1439*n^2-17359*n+49248)*a(n-6)+(-1533*n^2+21171*n-70488)*a(n-7 )+(740*n^2-12430*n+51864)*a(n-8)+(-211*n^2+4091*n-21624)*a(n-9)+(346*n^2-6608*n +32136)*a(n-10)+(4*n^2+1720*n-14376)*a(n-11)+(-256*n^2+2954*n-5832)*a(n-12)+(66 *n^2-720*n+768)*a(n-13)+(-18*n^2+360*n-1848)*a(n-14)+(42*n^2-858*n+4272)*a(n-15 )-2*(n-12)*(5*n-64)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 12, a(9) = 29, a(10) = 74, a(11) = 199, a(12) = 571, a(13) = 1722, a(14) = 5403, a(15) = 17514, a(16) = 58266, a(17) = 197903}, [0, 0, 1, 1, 1, 3, 6, 12, 29, 74, 199, 571, 1722, 5403, 17514, 58266, 197903, 683554, 2393588, 8477375, 30312348, 109271297, 396671328, 1448770469, 5319750097, 19626401321, 72715433412, 270434590840, 1009226155998, 3778058141312, 14183527021174, 53386570559190, 201428689723650, 761679230689009, 2886113084232418, 10956747796783502, 41669695454037824, 158737041368219064, 605632875501509021, 2314046327662347418, 8853768139984538981, 33919005988163338458, 130102402640187342491, 499603795059816734757, 1920603344554011794214, 7390887642154122368203, 28469497096905751020787, 109765603626521030851290, 423581081312135522432631, 1635959558578764491563809], 135144937511835439319527073094004408786971213470848\ 0545113002696677155794848674839862966407091074569423888873678500298224961322701\ 0955543907176472107298424529023068632864984301103762055092096325408095674950971\ 2631410443644918369297933558834870555049431339678785722521659195654984285382820\ 8807704918816163109215019678544435323556141989298069296433112342904219057205431\ 8216058096449770001745150338501892032562469689926736232277748327142028392482918\ 9591982879501934307162984824809575817145506427623982812795016865011729942328594\ 6590902525571456123566246820988410038079336014282429267766100687230643] ---------------------------- (A,B)= , {1, 2, 5}, {1, 3, 4} [P^2*x^10-2*P^2*x^9+2*P^2*x^8-P^2*x^7-2*P*x^8+2*P^2*x^6+4*P*x^7+6*P^2*x^5-2*P*x ^6-P^2*x^4-4*P*x^5+x^6+3*P^2*x^3+P*x^4-2*x^5-2*P^2*x^2-8*P*x^3-2*P^2*x+4*P*x^2+ 5*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3-x^3+x^2+x-1)/((x^5+x^3)*C-x^5+x^4+x^2+x -1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)-192*(n-2)*(n-6)*a(n-2)+(220*n^2-\ 2344*n+5040)*a(n-3)+(340*n^2-3088*n+7056)*a(n-4)+(-903*n^2+10317*n-29526)*a(n-5 )+(512*n^2-4580*n+9768)*a(n-6)+(-150*n^2-2190*n+21948)*a(n-7)+(-169*n^2+1987*n-\ 4890)*a(n-8)+(903*n^2-8193*n+1326)*a(n-9)+(-600*n^2+5592*n-1320)*a(n-10)+(406*n ^2-6934*n+41388)*a(n-11)+(-479*n^2+13733*n-105558)*a(n-12)+(350*n^2-14210*n+ 119676)*a(n-13)+(-270*n^2+12570*n-112404)*a(n-14)+(-47*n^2-811*n+19290)*a(n-15) +(368*n^2-10892*n+80088)*a(n-16)+(-424*n^2+12352*n-89400)*a(n-17)+(404*n^2-\ 12116*n+90264)*a(n-18)-6*(37*n-522)*(n-17)*a(n-19)+28*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 7, a(7) = 16, a(8) = 37, a(9) = 90, a(10) = 233, a(11) = 635, a(12) = 1823, a(13) = 5487, a(14) = 17202, a(15) = 55778, a(16) = 185873, a(17) = 633098, a(18) = 2194454, a(19) = 7714446, a(20) = 27433030}, [0, 0, 1, 2, 3, 7, 16, 37, 90, 233, 635, 1823, 5487 , 17202, 55778, 185873, 633098, 2194454, 7714446, 27433030, 98484803, 356391763 , 1298477502, 4758660463, 17528923018, 64861024222, 240965393997, 898437546140, 3360713533939, 12608277775359, 47429540459139, 178860222082230, 676028822997736 , 2560520349444454, 9717091327352673, 36942820255810064, 140687778165032152, 536620716213593260, 2049840338707422604, 7841064061029017847, 30032860464275175339, 115173510013872018151, 442194105694786829469, 1699614478150783938232, 6539429889055771609229, 25185940259715166161282, 97092088036714848382458, 374625262747035803237202, 1446703095266982664444976, 5591312509706753996226144], 475506915981970305373627501837320718826422640552378\ 6554582673394724004249120314428053584970370142171368985867877329603193004442386\ 8654930969900422468522961922643476477128198317233486135667438232755550834205954\ 2343272219806827568073744514826077961441568363128958710868039138777878118674154\ 7139997773693549203447684774830481160651283708856616092260850277831237932450115\ 2567395692575084755004981135277712130673078497644777576104262629169689764175690\ 2487408525957547367213587677239631886229652457380241663014398885793709004685781\ 3226791820249952369935610816388080708186002129070605102487786287692756] ---------------------------- (A,B)= , {1, 2, 5}, {1, 3, 5} [P^2*x^9+3*P^2*x^7-P^2*x^6-2*P*x^7+4*P^2*x^5+2*P*x^6-5*P*x^5+P^2*x^3+2*P*x^4+x^ 5+P^2*x^2-4*P*x^3-2*x^4-3*P^2*x-2*P*x^2+3*x^3+P^2+6*P*x+x^2-2*P-3*x+1, ((x^3-x^ 2)*C-x^2-x+1)/((x^5+x^3-x^2)*C-x^4-x^3-x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n -136)*a(n-1)-90*(n-2)*(4*n-27)*a(n-2)+(866*n^2-9124*n+19548)*a(n-3)+(-872*n^2+ 10750*n-28692)*a(n-4)+(-8*n^2-86*n-756)*a(n-5)+(738*n^2-9990*n+35352)*a(n-6)+(-\ 1046*n^2+12202*n-34968)*a(n-7)+(1259*n^2-14269*n+34332)*a(n-8)+(-792*n^2+6930*n -2268)*a(n-9)+(321*n^2+159*n-27456)*a(n-10)+(-46*n^2-1516*n+16164)*a(n-11)+(-84 *n^2+3060*n-19368)*a(n-12)+(-11*n^2+607*n-6264)*a(n-13)+(-8*n^2-1004*n+13704)*a (n-14)+(-62*n^2+1966*n-15096)*a(n-15)+(60*n^2-1908*n+14976)*a(n-16)+(-22*n^2+ 614*n-4272)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 7, a(7) = 15, a(8) = 33, a(9) = 74, a(10) = 175, a(11) = 429, a(12) = 1107, a(13) = 3006, a(14) = 8601, a(15) = 25820, a(16) = 80871, a(17) = 262421, a(18) = 876306}, [0, 0, 1, 2, 3, 7, 15, 33, 74, 175, 429 , 1107, 3006, 8601, 25820, 80871, 262421, 876306, 2993632, 10412483, 36737782, 131115622, 472347374, 1714916113, 6267182444, 23032622303, 85062196911, 315497868774, 1174667324331, 4388538461065, 16446257420813, 61806429489148, 232870301440363, 879461543959761, 3328601104852586, 12623452415857847, 47962670064200355, 182549833333079756, 695924724230096986, 2657055711405549126, 10159112671940824665, 38894710064590339681, 149097779652986735645, 572225013334550982150, 2198615350942244474881, 8456535170296575574821, 32559110293696859140259, 125477940600468792156435, 484012512082907899653801, 1868620916105489412803775], 152225567677549347403091780419596664204428691738071\ 1100640408440563817848224341392358529379603271704544488028256218968105707777246\ 5041234156856346198248100697249905131894845482444013622388447925705498173723621\ 0116375009186317962669471260608925253058836519028005161060622721889898644861726\ 9554850710357302193548123549115390817678615383471419620360989569743856384132102\ 4779955886223602547123559992890407217856247894804252278748173573719038832378564\ 2055752657430194004591395139706269365789496626814460246218695538028899996051284\ 3785276773654493176503891276458095424435981018885477605234738176020688] ---------------------------- (A,B)= , {1, 2, 5}, {1, 4, 5} [P^2*x^6+2*P^2*x^5+4*P^2*x^4-3*P*x^5-4*P*x^4+x^5+3*P^2*x^2-2*P*x^3-4*P^2*x-6*P* x^2+2*x^3+P^2+8*P*x+3*x^2-2*P-4*x+1, (C*x^3+2*x-1)/(C*x^3+x^3+2*x-1), {5*n*(n-5 )*a(n)-6*(n-1)*(13*n-76)*a(n-1)+6*(n-2)*(80*n-531)*a(n-2)+(-1470*n^2+15252*n-\ 32496)*a(n-3)+(2327*n^2-27889*n+73932)*a(n-4)+(-1902*n^2+24540*n-73320)*a(n-5)+ (1242*n^2-15084*n+42084)*a(n-6)+(-1156*n^2+16706*n-57336)*a(n-7)+(200*n^2-4204* n+21024)*a(n-8)+(56*n^2-2368*n+15504)*a(n-9)+(372*n^2-6900*n+32016)*a(n-10)+( 158*n^2-3454*n+18936)*a(n-11)+(69*n^2-1551*n+8724)*a(n-12)+6*(n-12)*(2*n-25)*a( n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 10, a(7) = 25, a(8) = 62, a(9) = 157, a(10) = 406, a(11) = 1071, a(12) = 2890, a(13) = 7999}, [0, 0, 1, 2, 4, 10, 25, 62, 157, 406, 1071, 2890, 7999, 22756, 66636, 200964, 623887, 1990756, 6514208, 21799120, 74384589, 258086904, 908176408, 3233867968, 11630555034, 42181820738, 154078620841, 566241673198, 2091892311439 , 7763526112498, 28928065237253, 108173729928458, 405790143705084, 1526583206039254, 5757873404207685, 21768415924504446, 82476243424707133, 313107703960867750, 1190847765808978379, 4536895999790568622, 17312126517690595504, 66158464738633739930, 253176201011502559423, 970120885382374620306, 3721867164388814105706, 14295438035694917951376, 54967735381210159309350, 211576062921369190002512, 815173638117600125519839, 3143670875942349950522638], 246499436770910261013270703657757186957349431243446\ 7381780966744631839023558902857276335904164751659731757350888238326781569359670\ 3178231414654057005863850342942881511436857780695245355494544009941650729410894\ 0090990682389611419831278987909992310191268731579769027572077962434250038860108\ 8114941571844872932542495527422070048746376313077036150266318592916500207683396\ 2171497567599190545948420942058540817951077860889857150130679150438615817065522\ 3036307288839324414533238214502257065927573833368001454810191210412416946068977\ 6278382143985636710913470171195963184652503108011764613111393813671536] ---------------------------- (A,B)= , {1, 2, 5}, {2, 3, 4} [P^2*x^10-3*P^2*x^8-2*P*x^9+P^2*x^7+2*P*x^8+7*P^2*x^6+4*P*x^7+x^8+7*P^2*x^5-6*P *x^6-2*x^7-10*P*x^5-5*P^2*x^3-3*P*x^4+3*x^5-2*P^2*x^2+8*P*x^3+3*x^4+4*P*x^2-3*x ^3+P^2-2*x^2-2*P+1, (C*x^4-x^4+x^3+x^2-1)/((x^5+x^4)*C-x^5+2*x^3+x^2-1), {-4*n* (n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-60*(n-2)*(n-7)*a(n-2)+(-80*n^2+740*n-1512)* a(n-3)+(6*n^2-618*n+2508)*a(n-4)+(480*n^2-5364*n+14520)*a(n-5)+(254*n^2-1514*n-\ 276)*a(n-6)+(-658*n^2+9130*n-30780)*a(n-7)+(-990*n^2+11166*n-26292)*a(n-8)+(37* n^2-2719*n+15450)*a(n-9)+(898*n^2-9994*n+12396)*a(n-10)+(248*n^2+256*n-23688)*a (n-11)+(21*n^2-5511*n+61338)*a(n-12)+(674*n^2-23042*n+179388)*a(n-13)+(249*n^2-\ 1623*n-26382)*a(n-14)+(-733*n^2+25171*n-207426)*a(n-15)+(-571*n^2+14701*n-90726 )*a(n-16)+(537*n^2-18483*n+158010)*a(n-17)+(466*n^2-14794*n+116820)*a(n-18)+(-\ 261*n^2+8967*n-76338)*a(n-19)+(-94*n^2+3082*n-24876)*a(n-20)+36*(2*n-31)*(n-20) *a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 4, a(7) = 6, a(8) = 13, a(9) = 33, a(10) = 82, a(11) = 230, a(12) = 690, a(13) = 2165, a(14) = 7075, a(15) = 23775, a(16) = 81579, a(17) = 284508, a(18) = 1004951, a( 19) = 3586638, a(20) = 12911160, a(21) = 46817413}, [0, 0, 1, 1, 1, 4, 6, 13, 33, 82, 230, 690, 2165, 7075, 23775, 81579, 284508, 1004951, 3586638, 12911160, 46817413, 170834451, 626790694, 2310831188, 8556214275, 31803129491, 118623149328, 443854479108, 1665568771411, 6266574589566, 23634770327633, 89339765445296, 338406260677044, 1284304111834449, 4882876305900634, 18595600343397056, 70929127806186547, 270942211544645969, 1036401225848274879, 3969568640564449632, 15222669838635018315, 58444155334209088219, 224629660913956786380, 864259200898930792639, 3328502314006130064136, 12830997458459589641541, 49506131474110623493427, 191172884072169533826881, 738831335253781522921313, 2857591682224252938405837], 2501603721349123133336702\ 3019150261181059035240403924483936518162122962108502992281339468734208558029887\ 4991429998119302348225360675499956801092614569366750957308640544726886885817195\ 0793560255729513492613732563498359281555450901767238268486741708331821902918516\ 4102715157741632620872364683842667893619296284857856788029502281906766061726985\ 7350089734860408670875260621338713036804742787561410791537090716046425759632260\ 1376513270869974941873877985223791793211138932492762958502608347258220078387632\ 9679355205378103551387978194995295757666665437169044674870165992390298502168004\ 53456118748276763] ---------------------------- (A,B)= , {1, 2, 5}, {2, 3, 5} [P^2*x^9+2*P^2*x^8+2*P^2*x^7-2*P*x^8+P^2*x^6-2*P*x^7+2*P^2*x^5+x^7+2*P^2*x^4-P* x^5-P^2*x^3-4*P*x^4-x^5-2*P^2*x^2+2*x^4-P^2*x+4*P*x^2+x^3+P^2+2*P*x-2*x^2-2*P-x +1, ((x^4-x^2)*C-x^3-x^2+1)/((x^5+x^4-x^2)*C-x^4-2*x^3-x^2+1), {-5*n*(n-5)*a(n) +3*(n-1)*(17*n-104)*a(n-1)-8*(n-2)*(19*n-138)*a(n-2)+(49*n^2-677*n+1560)*a(n-3) +(266*n^2-3346*n+9432)*a(n-4)+(68*n^2-16*n-2424)*a(n-5)+(-452*n^2+6598*n-23196) *a(n-6)+(-261*n^2+3051*n-7764)*a(n-7)+(291*n^2-4695*n+18816)*a(n-8)+(199*n^2-\ 4253*n+21660)*a(n-9)+(-28*n^2-928*n+11736)*a(n-10)+(33*n^2+147*n-7824)*a(n-11)+ (125*n^2+53*n-16260)*a(n-12)+(-4*n^2+1448*n-15960)*a(n-13)+(-5*n^2-743*n+11280) *a(n-14)+(9*n^2-1011*n+12396)*a(n-15)+(20*n^2-772*n+7152)*a(n-16)+(73*n^2-2465* n+20712)*a(n-17)+(82*n^2-2726*n+22584)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 4, a(7) = 5, a(8) = 11 , a(9) = 24, a(10) = 52, a(11) = 130, a(12) = 349, a(13) = 1004, a(14) = 3080, a(15) = 9875, a(16) = 32750, a(17) = 111367, a(18) = 385849, a(19) = 1356309}, [0, 0, 1, 1, 1, 4, 5, 11, 24, 52, 130, 349, 1004, 3080, 9875, 32750, 111367, 385849, 1356309, 4822648, 17309334, 62614513, 228016606, 835151794, 3074415254, 11368589843, 42207523830, 157267110824, 587898540933, 2204224700175, 8286819700404, 31232155703986, 117981310731641, 446628653354737, 1694085341972131, 6437535747169251, 24504515857530461, 93425715499670459, 356727761897249410, 1364011166319642394, 5222439259885864638, 20020290332519895860, 76838463001750002194, 295236863953197534330, 1135587525406423400403, 4372252476769278046488, 16850108133672861400831, 64996929951665561621068, 250932541188793791094868, 969566772004561442737017], 8146087126857178928644121218541073587878591908689302071000904597492476139735452\ 7411665072054344802794437367542429077289344860810711609829488171098060269086966\ 2748117569240615021501050012177811979339580829235122191799220691334058738296906\ 9086288167285705432832994569786842046016971336597150330612382438940297809939326\ 4209247408918072978198131185309652834182768242242260309721876316285126101301423\ 7216742156544652519804381357605324271804556053960665725541826642394683558765208\ 7626313489258604907454320436076371127939261151612962235428720296830159468797473\ 20099236944620328014142641119999790263726] ---------------------------- (A,B)= , {1, 2, 5}, {2, 4, 5} [P^2*x^6+4*P^2*x^5+4*P^2*x^4-5*P*x^5+P^2*x^3-6*P*x^4+x^5-2*P^2*x^2-4*P*x^3+2*x^ 4-2*P^2*x+4*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/(C*x^3+x^3+x ^2+x-1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+240*(n-2)*(n-7)*a(n-2)+(-283*n^2 +3227*n-7104)*a(n-3)+(-299*n^2+3379*n-9072)*a(n-4)+(486*n^2-7638*n+27240)*a(n-5 )+(574*n^2-7556*n+23412)*a(n-6)+(-161*n^2+5143*n-28560)*a(n-7)+(-906*n^2+14778* n-58944)*a(n-8)+(-441*n^2+6099*n-19356)*a(n-9)+(343*n^2-7541*n+40608)*a(n-10)+( 398*n^2-8590*n+46392)*a(n-11)+(147*n^2-3393*n+19620)*a(n-12)+10*(n-12)*(2*n-25) *a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 10, a(8) = 22, a(9) = 51, a(10) = 121, a(11) = 302, a(12) = 794, a(13) = 2198 }, [0, 0, 1, 1, 2, 5, 10, 22, 51, 121, 302, 794, 2198, 6402, 19525, 61947, 203058, 683303, 2347769, 8201236, 29030007, 103864996, 374906214, 1363271790, 4988481461, 18352939460, 67841722225, 251826828537, 938261856496, 3507510839691 , 13151897837088, 49450881426706, 186403402141544, 704269703436487, 2666561649817112, 10116327178563091, 38449574960440740, 146387164201499918, 558223552742405395, 2131880076060143351, 8153175418105066400, 31222222537622141876, 119712827717279953573, 459543986199294130996, 1766018331496098583253, 6793905378051028607290, 26162328648095144935914, 100842630154496773982243, 389047529333719310079155, 1502218871096945913381754], 1231034413864321248989031304099201072130677100922923679449881368618004110719987\ 6272921417394299954765626162790206267415678608107898288283709441844389223634550\ 1076378523554311609086666634946664656786876655981361743528546820155277411796682\ 2108353507186018771670671052829168780956476874114174079253294175689369836134810\ 1306057944499176570795358180241524204226500044060715909251416397311021557138895\ 6561509248004682160085429120842750417128770250707421516595305522293415781493826\ 4599403863338054213024348493768867607169513025174415770874274698256016144275159\ 739583655251020078979991100216914240540089] ---------------------------- (A,B)= , {1, 2, 5}, {3, 4, 5} [P^2*x^11+2*P^2*x^10+4*P^2*x^9-2*P*x^10+6*P^2*x^8-4*P*x^9+10*P^2*x^7-6*P*x^8+x^ 9+13*P^2*x^6-10*P*x^7+2*x^8+12*P^2*x^5-16*P*x^6+2*x^7+6*P^2*x^4-19*P*x^5+4*x^6- P^2*x^3-12*P*x^4+7*x^5-3*P^2*x^2+6*x^4-2*P^2*x+6*P*x^2+x^3+P^2+4*P*x-3*x^2-2*P-\ 2*x+1, ((x^5+x^4)*C+x^3+2*x^2+x-1)/((x^6+x^5+x^4)*C+x^4+2*x^3+2*x^2+x-1), {-5*n *(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-2*(n-2)*(116*n-819)*a(n-2)+(215*n^2-2551*n+ 5688)*a(n-3)+(391*n^2-4769*n+13140)*a(n-4)+(-75*n^2+2769*n-12924)*a(n-5)+(-1136 *n^2+17578*n-64332)*a(n-6)+(-990*n^2+11958*n-33264)*a(n-7)+(845*n^2-20941*n+ 113064)*a(n-8)+(2487*n^2-47301*n+219780)*a(n-9)+(2138*n^2-33148*n+117420)*a(n-\ 10)+(-30*n^2+14058*n-147600)*a(n-11)+(-1612*n^2+49088*n-348768)*a(n-12)+(-1682* n^2+48190*n-342120)*a(n-13)+(-329*n^2+7837*n-39408)*a(n-14)+(1118*n^2-41698*n+ 376344)*a(n-15)+(2173*n^2-80903*n+735324)*a(n-16)+(2515*n^2-93593*n+858396)*a(n -17)+(2206*n^2-81302*n+745416)*a(n-18)+(1551*n^2-56823*n+520008)*a(n-19)+(920*n ^2-33904*n+311664)*a(n-20)+(501*n^2-18867*n+176580)*a(n-21)+2*(109*n-1892)*(n-\ 21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 11, a(7) = 26, a(8) = 64, a(9) = 159, a(10) = 399, a(11) = 1014, a(12) = 2621, a(13) = 6908, a(14) = 18642, a(15) = 51702, a(16) = 147849, a(17) = 436887, a(18) = 1334890, a(19) = 4213198, a(20) = 13702710, a( 21) = 45766334, a(22) = 156374885, a(23) = 544539166}, [0, 0, 1, 2, 4, 11, 26, 64, 159, 399, 1014, 2621, 6908, 18642, 51702, 147849, 436887, 1334890, 4213198, 13702710, 45766334, 156374885, 544539166, 1925972851, 6898715513, 24966192349, 91113407679, 334823651896, 1237527437400, 4596325673254, 17142787957701, 64169490475651, 240969695105495, 907464688005228, 3426139170804199, 12965340469706958, 49167555970295524, 186815992848005943, 711091360357866733, 2711165828343293915, 10352761969922607497, 39589639575870240223, 151597630703181623363, 581236877631249505012, 2231164122864372207203, 8574289578134753006229, 32985742858523861291458, 127025628557856424521917, 489633191376996774215775, 1889052285911312375728314], 1505581078350385595448830\ 5378743323959734353268315267987098943892373428952992776330357846032732910578667\ 9805512845898893472771855850606662689657857149620484196944403597614456133013125\ 8619590485868131158869829913778164438756031672285220683309901057463832041307629\ 5753203898777812165933766536195604089835166892058104146100797244723110930819636\ 4019547547057161896279761236726477127447490463566414233189685423604512007429993\ 9392310284906744957537695179674558327478879399121376522653758569967151458873557\ 5697900987990955722017355687260047144463098529926352214268534855224074103202269\ 40818112417509232] ---------------------------- (A,B)= , {1, 2, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^9+3*P^2*x^7+P^2*x^6+2*P^2*x^5-3*P^2*x^4-2*P*x^5-2*P^2*x^3+3*P *x^4+2*P*x^3+P^2-2*P+1, -1/(C*x^5-x^5+x^4+x^3-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17* n-90)*a(n-1)-36*(n-2)*(2*n-13)*a(n-2)+(9*n^2-45*n+42)*a(n-3)+(-66*n^2+534*n-948 )*a(n-4)+(56*n^2-932*n+2976)*a(n-5)+(284*n^2-2342*n+3684)*a(n-6)+(-97*n^2+601*n +462)*a(n-7)+(18*n^2+246*n-1836)*a(n-8)+(-305*n^2+3485*n-10074)*a(n-9)+(-69*n^2 +531*n-1542)*a(n-10)+(158*n^2-1034*n-180)*a(n-11)+(14*n^2-1004*n+6720)*a(n-12)+ (47*n^2-869*n+4122)*a(n-13)+(-30*n^2+354*n-564)*a(n-14)+(10*n^2-142*n+444)*a(n-\ 15)+(-10*n^2+256*n-1608)*a(n-16)+4*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 4, a(8) = 6, a(9) = 17, a( 10) = 51, a(11) = 149, a(12) = 473, a(13) = 1562, a(14) = 5260, a(15) = 18056, a(16) = 62935, a(17) = 221978}, [0, 0, 1, 1, 0, 2, 4, 6, 17, 51, 149, 473, 1562 , 5260, 18056, 62935, 221978, 790776, 2841062, 10281795, 37446247, 137140834, 504742099, 1865893087, 6925071663, 25793857266, 96387362385, 361253363812, 1357636848598, 5114937046009, 19315148256896, 73094113250975, 277157687770440, 1052863619405263, 4006493564975759, 15270582591282623, 58291043112638410, 222824707487181258, 852911392998132816, 3268815520453225633, 12542741553645219498, 48181710304830354955, 185282304370597742405, 713220740899315100420, 2748086205662339938855, 10598216609990480614815, 40908393056462063505094, 158034422293479524425785, 610990227232528863444575, 2363985866622394691116371], 209882781696176152784984884779166503646116219405242\ 6395753051334955155102001376787029396122314028693317225519505882069723689608983\ 4957070535780331938741655251165459014690536692767018875554593288108396647039307\ 7408416256472064433366768963379138179566386508551344091696055174462997469084807\ 9355998097296299740390086055513962673153930502906298119393062189694469598737449\ 8433710053019137378314516467908059496449867983644294836634259020928592771733700\ 8512654009227593399264777473796240517781862919770062091023975310293931431156981\ 6186454087692095057240855044956247478904452048121570746407318225651776] ---------------------------- (A,B)= , {1, 2, 5}, {1, 2, 3, 5} [P^2*x^9+P^2*x^7-P^2*x^6+P^2*x^5+2*P*x^6-P*x^5-P^2*x^3-P^2*x+x^3+P^2+2*P*x-2*P- x+1, (-C*x^2+1)/((x^5-x^2)*C-x^4-x^3+1), {5*n*(n-5)*a(n)-3*(n-1)*(17*n-104)*a(n -1)+12*(n-2)*(14*n-99)*a(n-2)+(-199*n^2+2111*n-4512)*a(n-3)+(118*n^2-1238*n+ 2760)*a(n-4)+(-117*n^2+1161*n-2064)*a(n-5)+(21*n^2-537*n+2136)*a(n-6)+(171*n^2-\ 1497*n+2040)*a(n-7)+(-230*n^2+2152*n-2976)*a(n-8)+(191*n^2-1891*n+3000)*a(n-9)+ (-116*n^2+1186*n-2424)*a(n-10)+(114*n^2-966*n+552)*a(n-11)+(-74*n^2+952*n-2784) *a(n-12)+2*(5*n-66)*(n-14)*a(n-13)-2*(5*n-66)*(n-14)*a(n-14)+4*(2*n-27)*(n-14)* a(n-15)-2*(n-12)*(n-14)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 3, a(8) = 4, a(9) = 10, a(10) = 27, a(11) = 70, a(12) = 210, a(13) = 662, a(14) = 2153, a(15) = 7202, a(16) = 24604, a(17) = 85372}, [0, 0, 1, 1, 0, 2, 3, 4, 10, 27, 70, 210, 662, 2153, 7202, 24604, 85372, 300054, 1065830, 3819861, 13794995, 50149863, 183373075, 673948420, 2488282784, 9224649943, 34324390600, 128147152987, 479886871511, 1802103907001, 6784736995998, 25604205543145, 96836139005400, 366980275359850, 1393367108715943, 5299692905462539, 20190559500442163, 77039494928876540, 294377767800777593, 1126382361741593029, 4315408441300121240, 16553203525118651358, 63567874602872729985, 244378223631698493466, 940442455105017790699, 3622633777577522881537, 13967489375906630509336, 53900737285629237281815, 208178360333376425816184, 804682021787762257265102], 6860535791640090911694834296866749000502041102410456293712463227308720615313496\ 1566751635985852208876724385596603847750783300401622951196946184406144057953495\ 6835448058544134205599873927083221469635661472275087265702441895538113016010821\ 1570455047565704739050840672451687333314673606580798963809695787815199886941918\ 0488626224067431210160652132542356801600046653614626369557088893960268535384598\ 8648810281070355123628906171393831664990165745359083692169270411077567012429071\ 4212727492453684568944864292885191406937325635720466836577782829430929639892704\ 42551464055016445018265401097374424091789] ---------------------------- (A,B)= , {1, 2, 5}, {1, 2, 4, 5} [P^2*x^6+2*P^2*x^5+2*P^2*x^4-3*P*x^5-P^2*x^3-2*P*x^4+x^5-2*P^2*x+x^3+P^2+4*P*x-\ 2*P-2*x+1, (C*x^3+x-1)/(C*x^3+x^3+x-1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+4 *(n-2)*(64*n-441)*a(n-2)+(-461*n^2+4897*n-10512)*a(n-3)+(349*n^2-4037*n+10224)* a(n-4)+(-258*n^2+2454*n-4608)*a(n-5)+(402*n^2-4992*n+14028)*a(n-6)+(-57*n^2+ 1515*n-7536)*a(n-7)+(-144*n^2+2424*n-9504)*a(n-8)+(-183*n^2+2601*n-8988)*a(n-9) +(n-8)*(11*n-141)*a(n-10)+56*(n-12)*(n-11)*a(n-11)+(45*n^2-1035*n+5964)*a(n-12) +6*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 11, a(9) = 25, a(10) = 61, a(11) = 156, a(12) = 432, a(13) = 1276}, [0, 0, 1, 1, 1, 3, 6, 11, 25, 61, 156, 432, 1276, 3955, 12745, 42325, 143819, 497501, 1745551, 6195266, 22197845, 80173946, 291558025, 1066573460, 3922052283, 14488844163, 53744867019, 200097913045, 747475474392, 2800711596775, 10523078033400, 39638810209053, 149662991288992, 566300540306365 , 2147087052738409, 8155699110776433, 31033208120056650, 118276002296500140, 451467395938641283, 1725740169279733931, 6605516934248864689, 25315525530352934140, 97137075550017005079, 373140839688556325679, 1434908595034445547365, 5523513482796916877040, 21282575677825299470652, 82078618506581988852253, 316820993756050225491079, 1223934697787571162366361], 1021152455613489427451922163334309676148196032145596964548110628043716734289506\ 5863671394100876360243277753805491228863342383836017079966946869327866711944091\ 0361852473350632669425817469865894148180073668475535509078374138366165503351075\ 1973358252660604838282799544274367557710909984563629614294812865018834333531931\ 1391685220437709586621299349089865911756709631778413688649612965022661214883249\ 6502335733255604769287814849912071118551841353622362048724804506847395311017239\ 8868180196247355221731164906694305185725653050854967837993582728819780198317575\ 824991500119540902537143019146094848590613] ---------------------------- (A,B)= , {1, 2, 5}, {1, 3, 4, 5} [P^2*x^11+3*P^2*x^9+2*P^2*x^8-2*P*x^9+5*P^2*x^7+5*P^2*x^6-4*P*x^7+4*P^2*x^5-4*P *x^6+x^7+2*P^2*x^4-5*P*x^5-P^2*x^3-4*P*x^4+x^5-P^2*x^2+2*x^4-2*P^2*x+2*P*x^2+x^ 3+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^4+x^2+x-1)/((x^6+x^4)*C+x^4+x^3+x^2+x-1), {-5*n *(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-2*(n-2)*(124*n-861)*a(n-2)+(379*n^2-4115*n+ 8904)*a(n-3)+(-89*n^2+991*n-2220)*a(n-4)+(27*n^2+591*n-4596)*a(n-5)+(-384*n^2+ 5586*n-19212)*a(n-6)+(-171*n^2+1545*n-1392)*a(n-7)+(120*n^2-3276*n+18168)*a(n-8 )+(311*n^2-8377*n+48048)*a(n-9)+(608*n^2-6178*n+1992)*a(n-10)+(-2*n^2-2480*n+ 23436)*a(n-11)+(137*n^2+4109*n-57948)*a(n-12)+(-266*n^2+5236*n-29328)*a(n-13)+( -12*n^2+2022*n-20472)*a(n-14)+(67*n^2-3053*n+31404)*a(n-15)+(246*n^2-8640*n+ 75600)*a(n-16)+(157*n^2-6359*n+61284)*a(n-17)+(348*n^2-12258*n+107304)*a(n-18)+ (10*n^2-662*n+8472)*a(n-19)+(220*n^2-7724*n+67584)*a(n-20)-6*(5*n-76)*(n-19)*a( n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 2, a (5) = 3, a(6) = 7, a(7) = 15, a(8) = 32, a(9) = 70, a(10) = 160, a(11) = 378, a (12) = 937, a(13) = 2451, a(14) = 6788, a(15) = 19867, a(16) = 61121, a(17) = 196100, a(18) = 650700, a(19) = 2216427, a(20) = 7703111, a(21) = 27190362, a( 22) = 97145885}, [0, 0, 1, 2, 3, 7, 15, 32, 70, 160, 378, 937, 2451, 6788, 19867, 61121, 196100, 650700, 2216427, 7703111, 27190362, 97145885, 350447239, 1274179201, 4663103562, 17160393509, 63453945343, 235619871201, 878174664599, 3283952880317, 12317410784105, 46326502285668, 174672772752888, 660112776279216 , 2499947775229464, 9486268051469007, 36062093951366735, 137323066513861516, 523750560111952950, 2000553584478260275, 7652105118618240283, 29307630618438863755, 112387162507920857514, 431478241275973667567, 1658363611595170843090, 6380489134453769512613, 24573001615823685037610, 94726373657388594358648, 365487159922156774842519, 1411377959649161982745036], 1160801951556093638453000864714676410840255483057131945514226864396108865427961\ 0862910125198203725068639072005862011750324864339457165771623939463876134385687\ 6110249459960966872346703711069033350309590002015529240313769439512760638868618\ 8970834648290017538373969952582860149678416198209706116698208420653803910947235\ 7016337420341441749026498534457035138878423526137038259260157822796987649604188\ 9398481377954966676082577648944134583369813135960888173380222606589482057553248\ 4419711656865520754771885939317689580869242301326695666089486041040120323673855\ 739111084525439381012423146905476337572498] ---------------------------- (A,B)= , {1, 2, 5}, {2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9-2*P*x^10+4*P^2*x^8-2*P*x^9+7*P^2*x^7-2*P*x^8+x^9 +7*P^2*x^6-6*P*x^7+3*P^2*x^5-8*P*x^6+x^7-2*P^2*x^4-5*P*x^5+2*x^6-4*P^2*x^3+2*P* x^4+2*x^5-2*P^2*x^2+6*P*x^3+4*P*x^2-2*x^3+P^2-2*x^2-2*P+1, (C*x^5+x^3+x^2-1)/(( x^6+x^5)*C+x^4+2*x^3+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-72*(n-2)* (n-8)*a(n-2)+(-110*n^2+1120*n-2400)*a(n-3)+(65*n^2-1237*n+4176)*a(n-4)+(431*n^2 -5635*n+16968)*a(n-5)+(354*n^2-3696*n+8676)*a(n-6)+(-389*n^2+7597*n-33600)*a(n-\ 7)+(-1069*n^2+16679*n-63768)*a(n-8)+(-783*n^2+9297*n-21528)*a(n-9)+(282*n^2-\ 8610*n+53004)*a(n-10)+(1027*n^2-19145*n+85716)*a(n-11)+(749*n^2-13219*n+53676)* a(n-12)+(124*n^2+754*n-31692)*a(n-13)+(25*n^2+4237*n-61728)*a(n-14)+(243*n^2-\ 1425*n-28212)*a(n-15)+(465*n^2-11835*n+75156)*a(n-16)+(606*n^2-21342*n+188832)* a(n-17)+(746*n^2-28186*n+264696)*a(n-18)+(707*n^2-26467*n+247416)*a(n-19)+(408* n^2-15252*n+142368)*a(n-20)+(195*n^2-7437*n+70524)*a(n-21)+(162*n^2-6318*n+ 60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a( 4) = 1, a(5) = 1, a(6) = 4, a(7) = 5, a(8) = 10, a(9) = 22, a(10) = 44, a(11) = 105, a(12) = 272, a(13) = 758, a(14) = 2290, a(15) = 7289, a(16) = 24116, a(17) = 82059, a(18) = 284822, a(19) = 1003418, a(20) = 3575941, a(21) = 12861856, a( 22) = 46615531, a(23) = 170045887}, [0, 0, 1, 1, 1, 4, 5, 10, 22, 44, 105, 272, 758, 2290, 7289, 24116, 82059, 284822, 1003418, 3575941, 12861856, 46615531, 170045887, 623774267, 2299401961, 8513083556, 31640577062, 118010445457, 441543062229, 1656838225501, 6233551263335, 23509672251419, 88865153644756, 336602922680653, 1277442115189372, 4856728335226332, 18495826537064158, 70547919727587672, 269483899530266057, 1030815780532723848, 3948151521781709176 , 15140457316844260061, 58128242431802132051, 223414513277873854807, 859580730578145606748, 3310473226636580688857, 12761459567883569625275, 49237701502292963625740, 190135864517113978166783, 734821976592916355317735], 6229486091996709195068409196631054214823622032361912254900271306574218798892900\ 5319534853288111108668937361576189365460395781969940124046730674731708714008436\ 9490612921262002676319077830730404952097225205284147981773338209874023369918076\ 7844540325019735143611058279356839410529274424221873073365182498867036114713864\ 8028211446499571911533006105139579835037129982410991842246144920526386746565995\ 4659276288331188279197435560904377869885440525159397081179141362426368671628281\ 1063858093254604067045068602420360173160326403789934912540447962022271535630322\ 70412366321106185387207674757530062995769] ---------------------------- (A,B)= , {1, 2, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^9+2*P^2*x^8+2*P^2*x^7+P^2*x^6-P^2*x^5-2*P^2*x^4+P*x^5-2*P^2*x^3 +2*P*x^4+2*P*x^3+P^2-2*P+1, -1/(C*x^6+x^4+x^3-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n -44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+(12*n^2-78*n+96)*a(n-3)+(-91*n^2+839*n-\ 1632)*a(n-4)+(127*n^2-1631*n+4536)*a(n-5)+(148*n^2-1778*n+4812)*a(n-6)+2*(11*n-\ 42)*(7*n-50)*a(n-7)-42*(n-6)*(n-14)*a(n-8)+(-184*n^2+2858*n-11016)*a(n-9)+(-231 *n^2+3315*n-12168)*a(n-10)+(-124*n^2+1502*n-4740)*a(n-11)+(89*n^2-1267*n+5028)* a(n-12)+(5*n^2-1063*n+8280)*a(n-13)+(86*n^2-1756*n+8976)*a(n-14)+(14*n^2-412*n+ 2724)*a(n-15)+(34*n^2-644*n+3024)*a(n-16)+(23*n^2-493*n+2628)*a(n-17)+2*(n-12)* (2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 3, a(8) = 3, a(9) = 8, a(10) = 21, a(11) = 51, a(12) = 152, a(13) = 482, a(14) = 1568, a(15) = 5266, a(16) = 18069, a(17) = 62924, a(18) = 221855}, [0, 0, 1, 1, 0, 2, 3, 3, 8, 21, 51, 152, 482, 1568, 5266, 18069, 62924, 221855, 790226, 2838797, 10272933, 37412486, 137013377, 504262797, 1864093404, 6918313930, 25768460951, 96291800323, 360893246248, 1356277612808, 5109798340895, 19295689313603, 73020309483537, 276877330447148, 1051797033227649, 4002430017767174, 15255079658228622, 58231819410953121, 222598177990474240, 852043878515321434, 3265489478783416492, 12529975551468595636, 48132660550264307814, 185093656023488995593, 712494494385518094032, 2745287793208731699785, 10587424192495649608335, 40866735977749007671954, 157873503569988645637302, 610368131042907245105087], 5249741115114322826218038906905532078854875977962085859222563764718700049859392\ 1206419609879090554035858197371364985980681085415722386523147783671471059116962\ 5850105676226955760866964427328544480591605413789091826208034867332362734536453\ 1426687153659490155393903096137220571704736719922484491314720183720364976668144\ 1626691443410610244969397874450660120843130224435839611676044078031564049460082\ 0203244154111607753619684053196602227268833615392326243682037846694379988961091\ 1875030985855978615430141425780620932035830849760666340750112644008565172132467\ 89447457383613043399570103453103142232485] ---------------------------- (A,B)= , {1, 3, 4}, {} [P^2*x^5+2*P^2*x^4-3*P^2*x^2+3*P*x^2+P^2-2*P+1, (-C*x+1)/((x^3-x)*C-x^3-x^2+1), {-2*n*(n-2)*a(n)+6*(n-1)*(3*n-10)*a(n-1)-2*(n-2)*(17*n-90)*a(n-2)+(-57*n^2+267* n-270)*a(n-3)+(128*n^2-922*n+1548)*a(n-4)+(43*n^2-251*n+390)*a(n-5)+(-98*n^2+ 892*n-2064)*a(n-6)+(-46*n^2+326*n-540)*a(n-7)+3*(n-6)*(7*n-47)*a(n-8)+6*(n-6)*( 2*n-13)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 23, a(8) = 64, a(9) = 191}, [0, 1, 1, 2, 4, 9, 23, 64, 191, 599, 1948, 6508, 22194, 76921, 270099, 958699, 3433841, 12394906, 45042074, 164642011, 604938541, 2232965570, 8276456989, 30790837634, 114937415514, 430361256871, 1615930514318, 6083172039808, 22954478946444, 86807407106172, 328949166304185, 1248882163375950, 4749841871072163, 18094713236195971, 69038884750550145, 263793556627774938, 1009312130495860923, 3866726896447161971, 14831562294610740000, 56954359015957128256, 218946131853219424616, 842545682854457000293, 3245435586350481740697, 12512815359874744138387, 48285890048233493203843, 186487887787147450650659, 720824372882141752217882, 2788310451132590455188226, 10793717234723256916153893, 41812443444966289857489007], 39127130361586173185096383771383755333162248315468\ 6158231309304911720473227516143393514601614909147333421991728796334664457387272\ 4477108108490662812418334736856586843709683084008320340869441608374880662673099\ 5891475522058302945188671740159504109872057574653519353656565004049735189105207\ 4362378552177978613987885362202780128165390322303570870533580769168570568014992\ 3534758306240094876196172049724395557982812195469651963074016638111982825962397\ 7801509837092950318029284374493265074194305487940984562153934731606704228135284\ 536298433583613646967490229065591435496404754331818817511555823344431927] ---------------------------- (A,B)= , {1, 3, 4}, {1} [P^2*x^5-3*P^2*x^3+2*P*x^4-P^2*x^2+2*P*x^3+3*P^2*x-P*x^2+x^3+P^2-6*P*x+2*x^2-2* P+3*x+1, ((-x^2-x)*C+x^2+x+1)/((x^3-x^2-x)*C-x^3+x+1), {2*n*(n-2)*a(n)-3*(n-1)* (3*n-14)*a(n-1)-(n-2)*(37*n-81)*a(n-2)+(111*n^2-849*n+1518)*a(n-3)+(251*n^2-\ 2203*n+4914)*a(n-4)+(-106*n^2+896*n-1896)*a(n-5)+(-225*n^2+1977*n-4014)*a(n-6)+ (88*n^2-1472*n+6504)*a(n-7)+(66*n^2-546*n+804)*a(n-8)-36*(2*n-17)*(n-10)*a(n-9) -6*(n-7)*(n-10)*a(n-10)+12*(2*n-17)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3 ) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 8, a(8) = 24, a(9) = 76, a(10) = 248, a(11) = 831}, [0, 1, 0, 1, 1, 3, 8, 24, 76, 248, 831, 2837, 9836, 34532, 122515, 438564, 1582022, 5745052, 20985696, 77056305, 284252073, 1052938342, 3914981330, 14606031895, 54661208006, 205142713444, 771902372341, 2911450640561 , 11005725631247, 41688870571841, 158216274874323, 601527537121640, 2290775326676669, 8737480695310264, 33375291858587154, 127661845236947596, 488944712846284282, 1874948301854480805, 7198146248158827883, 27664772728680005212, 106434873909452008466, 409891016761929979571, 1580008235784339713404, 6095891376527006170894, 23538772295664875093463, 90966643528061299682951, 351816744417296757665761, 1361670573004629385506373, 5273937776144238884070921, 20440542462719185017626920], 19554267403955394219447\ 5935019310494961115041578508210737528351771524697141738320296007348526210651014\ 0981061811944203809163806079568187835453111353927669312033426237413058976461718\ 1516847418978938707644723154372300961264011258207816417087505147310554640627519\ 6805934554367068872522935771581811183312585494395929103962471175100026242458589\ 0845616469903538429781539182567750931386275635962163396571285884737798418897490\ 1817630902506935669310798705087703489352379843678653959133182248627719841021152\ 0395479069016514620175383854160039594770728356308996730133287721554036619505194\ 92979365361190977183] ---------------------------- (A,B)= , {1, 3, 4}, {2} [P^2*x^7-4*P^2*x^5-2*P*x^6+P^2*x^4+2*P*x^5+7*P^2*x^3+4*P*x^4+x^5-2*P^2*x^2-8*P* x^3-2*x^4-4*P^2*x-P*x^2+x^3+2*P^2+8*P*x+3*x^2-4*P-4*x+2, ((x^3-x^2+x)*C-x^3+x^2 -1)/((x^4-x^2+x)*C-x^4+2*x^2-1), {-8*n*(n-2)*a(n)+96*(n-1)*(n-3)*a(n-1)-8*(n-2) *(49*n-192)*a(n-2)+(574*n^2-4790*n+9228)*a(n-3)+(48*n^2+1848*n-8256)*a(n-4)+(-\ 744*n^2+3972*n-672)*a(n-5)+(219*n^2-1725*n-750)*a(n-6)+(187*n^2+2005*n-18690)*a (n-7)+(439*n^2-11789*n+66798)*a(n-8)+(-173*n^2+3385*n-20958)*a(n-9)+(-751*n^2+ 16433*n-86994)*a(n-10)+(378*n^2-9204*n+54984)*a(n-11)+(393*n^2-8373*n+44334)*a( n-12)+(-246*n^2+5874*n-34644)*a(n-13)+(-70*n^2+1526*n-8148)*a(n-14)+28*(2*n-21) *(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9 , a(7) = 23, a(8) = 63, a(9) = 185, a(10) = 570, a(11) = 1825, a(12) = 6016, a( 13) = 20289, a(14) = 69673, a(15) = 242781}, [0, 1, 1, 2, 4, 9, 23, 63, 185, 570, 1825, 6016, 20289, 69673, 242781, 856223, 3050194, 10959129, 39665454, 144484059, 529248483, 1948282964, 7203837834, 26742286233, 99629566058, 372382315512, 1395970673910, 5247365291165, 19773735335979, 74685180117883, 282685701078800, 1072088060844449, 4073378615157844, 15503270252273853, 59100047172324861, 225634045154060062, 862648856896402916, 3302478120551018873, 12658705605777420242, 48579366877739361102, 186637889359564708830, 717806870471566842075, 2763450153784492981127, 10649030264445262348909, 41073590141992176569655, 158558917603407023171126, 612599478200358168747781, 2368668301776441351733140, 9165546587930561639130233, 35491536178937223077654301], 32668676615624496208323040783175959257463691378697\ 9692316268844745899416363729212295247374404875934800119252187828648184258418530\ 1124633480917324465067403226751900228089080976035982073252578249084734508290540\ 7032901810400862297104608278566766509919712452331996727047283971680251175661520\ 9482536171742847392092994843948670261760278854755873660533300461681153979164259\ 9591042327294495146735334416072892657621188632393238079617767340998096045555307\ 6756783447422832346461930750597058071456926959712945101174737186458835561550961\ 725964429126596552135070247208383189153041991554162559755434633278729192] ---------------------------- (A,B)= , {1, 3, 4}, {3} [P^2*x^3+2*P^2*x^2+P*x^3+x^4-3*P^2*x-6*P*x^2-2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, ( C*x^2-x^2+x-1)/(C*x^2+x-1), {-3*n*(n-3)*a(n)+(n-1)*(41*n-160)*a(n-1)+(-215*n^2+ 1437*n-2020)*a(n-2)+(550*n^2-4632*n+9020)*a(n-3)+(-717*n^2+7413*n-18456)*a(n-4) +(410*n^2-5334*n+16780)*a(n-5)+(-8*n^2+570*n-3328)*a(n-6)+(-65*n^2+855*n-2752)* a(n-7)+2*(n-8)*(2*n-17)*a(n-8) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5 ) = 4, a(6) = 9, a(7) = 22, a(8) = 58}, [0, 1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141 , 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547, 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902, 23270147619699743008876442], 20620394747288742061669319910103934085903345618329\ 1715378965578360799240733272707344702709064202535007494570512648907314563828535\ 8843475138072822037848253305286123250568424029693759751379935200728863416320039\ 5140724567853271620588615540166760404039743906059955415955497107994889893445576\ 3470830014136519759929559203359598727848957753017155858006502959082978373945675\ 1199691579148822616939932632495214989071950133678784121932827450101813972043823\ 8584645774044796309691669916911826585844374075524013987511018537974151041464543\ 193319955651139624307621041190230809646893587328043840209190795261172632] ---------------------------- (A,B)= , {1, 3, 4}, {4} [P^2*x^7-3*P^2*x^5+2*P*x^5+5*P^2*x^3+P*x^4-6*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P* x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4-x^2)*C-x^2-x+1), {4*n*(n-4)*a(n)-5*(n-1)* (11*n-54)*a(n-1)+(281*n^2-2189*n+3270)*a(n-2)+(-619*n^2+6109*n-12954)*a(n-3)+( 344*n^2-5078*n+15648)*a(n-4)+(792*n^2-7686*n+17124)*a(n-5)+(-1018*n^2+13846*n-\ 45096)*a(n-6)+(-364*n^2+2656*n-1656)*a(n-7)+(852*n^2-11994*n+41400)*a(n-8)+(72* n^2+36*n-3768)*a(n-9)+(-365*n^2+5069*n-17010)*a(n-10)+(40*n^2-742*n+3516)*a(n-\ 11)+2*(25*n-117)*(n-10)*a(n-12)-2*(n-10)*(5*n-54)*a(n-13)+4*(2*n-23)*(n-12)*a(n -14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 18 , a(8) = 42, a(9) = 105, a(10) = 278, a(11) = 778, a(12) = 2288, a(13) = 7022, a(14) = 22335}, [0, 1, 1, 2, 4, 8, 18, 42, 105, 278, 778, 2288, 7022, 22335, 73153, 245364, 839015, 2914468, 10255741, 36479430, 130937377, 473622108, 1724605914, 6316322255, 23251500467, 85980295241, 319226224982, 1189523666626, 4447049015654, 16674992218991, 62696335959463, 236321740890602, 892820804031848 , 3380244869771577, 12822947859944372, 48733017557763520, 185524183431933688, 707409707484458395, 2701412489682712478, 10330478069571571524, 39557002864956395072, 151658500073513221882, 582130468764584121091, 2236950476984562392049, 8604969997363843431734, 33134145836011694296505, 127706760057167682982632, 492655743793197979418127, 1902155814723412333814161, 7350284277484973605957154], 620489324582715135226962385888421088122851136960667\ 9719451976928337800340288597957881052660622970433715519995247694811819742294567\ 0502892569607154765493770280515686139623365525764546118709224559782851908359858\ 9717839459635360013496141142810841750410132538518811196318931167288188369963327\ 6217989827441973995513210395381760438789429984573856003283200687648544000031040\ 8613405466112814732769006469908528812339533825133038756951641646951442240111229\ 3263383352277805063230035817995309349971843742514820255544537733905116084960218\ 1405649181697268405247155207529138017304712576222396818850878534347774] ---------------------------- (A,B)= , {1, 3, 4}, {5} [P^2*x^9+4*P^2*x^8+5*P^2*x^7-3*P^2*x^6-12*P^2*x^5+2*P*x^6-3*P^2*x^4+9*P*x^5+9*P ^2*x^3+4*P*x^4+4*P^2*x^2-10*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+10*P*x+6*x^2-2*P-5*x +1, (-C*x^2-2*x+1)/((x^5+x^4-x^2)*C+x^4+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)-3*(n-1) *(29*n-168)*a(n-1)+(603*n^2-5181*n+7980)*a(n-2)+(-2048*n^2+21484*n-46476)*a(n-3 )+(3107*n^2-40021*n+113040)*a(n-4)+(-57*n^2+8595*n-48996)*a(n-5)+(-4796*n^2+ 67444*n-222588)*a(n-6)+(1095*n^2-31635*n+166248)*a(n-7)+(6133*n^2-93053*n+ 341652)*a(n-8)+(-904*n^2+28556*n-169188)*a(n-9)+(-4806*n^2+83478*n-356712)*a(n-\ 10)+(-713*n^2+4993*n+13500)*a(n-11)+(1966*n^2-39824*n+200040)*a(n-12)+(908*n^2-\ 15634*n+64488)*a(n-13)+(-166*n^2+4940*n-34344)*a(n-14)+(-166*n^2+3830*n-21984)* a(n-15)+(-10*n^2+152*n-288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a( 2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 22, a(8) = 57, a(9) = 154, a(10) = 430, a(11) = 1234, a(12) = 3629, a(13) = 10917, a(14) = 33552, a( 15) = 105235, a(16) = 336475, a(17) = 1095431}, [0, 1, 1, 2, 4, 9, 22, 57, 154, 430, 1234, 3629, 10917, 33552, 105235, 336475, 1095431, 3626655, 12193745, 41580232, 143605771, 501685154, 1770675909, 6306843001, 22647118031, 81912750024, 298182722100, 1091698263610, 4017416361830, 14851968872649, 55133164861773, 205427346701985, 768010622474861, 2880091979582878, 10830755739534572, 40833985546639391, 154313851312399221, 584424171929067221, 2217790596367420981, 8431770080248011449, 32111919681297027846, 122493299634984189352, 467962723415639823836, 1790283338152048012099, 6858141633658326772862, 26304574629019570673755, 101010204246685994321336, 388311256051356121799520, 1494340137996011966174850, 5756384321917573432299658] , 43391240201600435970814935636490355488708721582017637589157349212608755067263\ 7894576799527863733068733896071741410217326096586022662135040596815343708622007\ 8101416995021479506163577260736734263597613921404716059049912841997778943400638\ 2172744722287246134232190113152351078968973697709573769647615080972731376979542\ 3507171958151133839995860167954739721373031701045051899114830231748853670596879\ 6983664195351568015142434630688012986474054208592491775413006679292326660313992\ 4550172584380729402007671358900624826283511000196136808072998438137642794461751\ 60734218812209334834326534008697742341602590] ---------------------------- (A,B)= , {1, 3, 4}, {1, 2} [P^2*x^7-2*P^2*x^6-P^2*x^5+5*P^2*x^4-2*P*x^4-5*P^2*x^2+P^2*x+5*P*x^2+2*P^2-2*P* x-4*P+x+2, (C*x-x-1)/((x^4-x^3+x)*C-x^4+x^3+x^2-x-1), {-8*n*(n-2)*a(n)+6*(n-1)* (11*n-38)*a(n-1)-(n-2)*(85*n-531)*a(n-2)+(-303*n^2+1767*n-2514)*a(n-3)+(345*n^2 -2463*n+4014)*a(n-4)+(318*n^2-2004*n+3036)*a(n-5)+(-453*n^2+3093*n-4254)*a(n-6) +(-55*n^2-295*n+3510)*a(n-7)+(194*n^2-496*n-3852)*a(n-8)+(-104*n^2+1288*n-4608) *a(n-9)+(61*n^2-1607*n+8670)*a(n-10)+(26*n^2-286*n+636)*a(n-11)+(-62*n^2+1114*n -4980)*a(n-12)+12*(2*n-17)*(n-10)*a(n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a( 4) = 1, a(5) = 1, a(6) = 3, a(7) = 8, a(8) = 23, a(9) = 72, a(10) = 230, a(11) = 762, a(12) = 2574, a(13) = 8854}, [0, 1, 0, 1, 1, 3, 8, 23, 72, 230, 762, 2574, 8854, 30881, 108971, 388307, 1395293, 5049961, 18392667, 67361136, 247919901, 916481050, 3401363890, 12668799998, 47340040048, 177422708924, 666759889453, 2511971231359, 9485518067273, 35895025868530, 136103075379976, 517014339862250, 1967364008547455, 7498355650644296, 28622183991506507, 109409530291848298, 418780968618715699, 1604962844553748776, 6158272766885313816, 23655974830165089291, 90967251245399409855, 350161079128921999449, 1349171985395819960721, 5203110772611618409879, 20083355183782155135919, 77583496708427761425776, 299947989241645081634061, 1160515160703545985624454, 4493344007391608186622224, 17409614237259319696397806], 16425539310524512800185421457351567079239564861474\ 9323347042687644666885738210480846891897215936319299269741486805542627965760563\ 5873441770601365255042474768043245178189045157662083914535224174251026499967986\ 4447515238474533328628776606937252376088278058566905632967133368448049190312349\ 4014605295961161401634357821021158941639651554855671327172125409591578137984619\ 8574512889293548954284334610209080894056397917457820449421789662600918844377798\ 9366663126533035574024688563981848613912439306939309733642354366751623324387708\ 234871715743107229073712990741568315040672273995110926991843685799348540] ---------------------------- (A,B)= , {1, 3, 4}, {1, 3} [P^2*x^3-P*x^3+x^4-P^2*x-2*P*x^2+P^2+2*P*x+2*x^2-2*P-x+1, (C*x^2-x^2-1)/(C*x^2-\ 1), {3*n*(n-3)*a(n)-(n-1)*(31*n-128)*a(n-1)+(103*n^2-729*n+1052)*a(n-2)+(-122*n ^2+1104*n-2284)*a(n-3)+(45*n^2-693*n+2256)*a(n-4)+(56*n^2-336*n+172)*a(n-5)+(-\ 54*n^2+600*n-1632)*a(n-6)+(23*n^2-309*n+1024)*a(n-7)+2*(n-8)*(2*n-17)*a(n-8) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 20}, [0, 1, 0, 1, 1, 3, 7, 20, 59, 184, 593, 1964, 6642, 22845, 79667, 281037, 1001092, 3595865, 13009673, 47366251, 173415176, 638044203, 2357941142, 8748646386, 32576869203, 121701491701, 456012458965, 1713339737086, 6453584646837, 24364925260024, 92185136438942, 349479503542465, 1327356794933809, 5050158160587171, 19245314696271615, 73452022778386004, 280737995030041943, 1074436722483501092, 4117270194612416350, 15796330585442827899, 60672698187581069171, 233289290779975354221, 897918331924508326712, 3459372676013419366361, 13340001976871342146160, 51486513556851277778688, 198880620085923210073027, 768840737702048561014907, 2974472078222445356489939, 11515920169669695536463232], 10506415714175084599995\ 6560293811134125118487213790408166948341626731414335393012139849153296066715269\ 6093057662515205877132506039175973918078547899409318339338645391106277829984395\ 2512198817874540939486322540210087059083107247997678104641583794773307562329113\ 5031773392933618248776391038532335711414307732579835611934272679145914146620009\ 7621555779600708834023387806704118592076597842369632389959678166019491482585710\ 2409503856666588636106810938414053510257430693088742124488582817444856745047938\ 9188410209523602654810886101334237728484843158706353653062388734424914634264646\ 25010544531002223824] ---------------------------- (A,B)= , {1, 3, 4}, {1, 4} [P^2*x^7-2*P^2*x^6-2*P^2*x^5+2*P*x^6+4*P^2*x^4+3*P^2*x^3-5*P*x^4+x^5-3*P^2*x^2-\ 4*P*x^3+2*x^4-P^2*x+4*P*x^2+x^3+P^2+2*P*x-x^2-2*P-x+1, (1+(-x^3-x^2)*C)/((x^4-x ^3-x^2)*C-x^2+1), {4*n*(n-4)*a(n)-(n-1)*(41*n-210)*a(n-1)+(119*n^2-1001*n+1542) *a(n-2)+(11*n^2+235*n-978)*a(n-3)+(-459*n^2+4377*n-9606)*a(n-4)+(323*n^2-4205*n +12438)*a(n-5)+(667*n^2-7285*n+19830)*a(n-6)+(-647*n^2+9269*n-33078)*a(n-7)+(-\ 488*n^2+5540*n-14544)*a(n-8)+(586*n^2-8818*n+34092)*a(n-9)+(70*n^2-166*n-5484)* a(n-10)+(-214*n^2+3310*n-11844)*a(n-11)+(123*n^2-3057*n+19374)*a(n-12)+(2*n^2+ 142*n-2004)*a(n-13)+(-62*n^2+1610*n-10428)*a(n-14)+12*(2*n-25)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 11, a(9) = 31, a(10) = 87, a(11) = 264, a(12) = 830, a(13) = 2697, a(14) = 8988 , a(15) = 30554}, [0, 1, 0, 1, 1, 2, 5, 11, 31, 87, 264, 830, 2697, 8988, 30554 , 105564, 369587, 1308355, 4675188, 16840468, 61083537, 222910495, 817827970, 3014807661, 11161069315, 41477806250, 154678990568, 578649977772, 2170955761557 , 8166437825603, 30794255230307, 116380804951682, 440753566000356, 1672434213001527, 6357458114515173, 24207363305289130, 92319669305415217, 352599252924647859, 1348560375369748276, 5164474199002623988, 19802334483603324942, 76017179874531996527, 292136012495016644707, 1123858023189051340953, 4327805695288404191214, 16681406656500120577448, 64355610089239824527593, 248490964135459613940709, 960258442137015406089121, 3713667923151382259692024], 323687140387182578730283555624066816542580754688488\ 6301377671708003211432288133669251989089759389536605500172181265156738153905851\ 1668798704501298836337334512223819969259172130114060129966858383457276722902620\ 1344747923142820948436590741692998667394041509397604505875193040611598719194270\ 1658568359215877888910523167953615770473117698520762499219780217981069397193192\ 4214174353975962001701874654660527025237651859698283007309207879882665280813973\ 9610424190321749092782679458270940011955152250110556915539979582430112669981924\ 8186911695938725267169093384312209187171242864567177456445483644206618] ---------------------------- (A,B)= , {1, 3, 4}, {1, 5} [P^2*x^9+2*P^2*x^8-2*P^2*x^7+2*P*x^8-9*P^2*x^6+6*P*x^7-3*P^2*x^5+4*P*x^6+x^7+11 *P^2*x^4-7*P*x^5+4*x^6+8*P^2*x^3-18*P*x^4+7*x^5-3*P^2*x^2-10*P*x^3+8*x^4-3*P^2* x+4*P*x^2+2*x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((-x^4-x^3-x^2)*C-x^3-x^2-x+1)/((x^5-x ^3-x^2)*C+x^4-2*x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(331*n^2-\ 2951*n+4608)*a(n-2)+(-504*n^2+5922*n-13632)*a(n-3)+(-660*n^2+5850*n-10920)*a(n-\ 4)+(2014*n^2-26780*n+79920)*a(n-5)+(1369*n^2-13883*n+34716)*a(n-6)+(-4255*n^2+ 65771*n-245484)*a(n-7)+(-3041*n^2+43741*n-163476)*a(n-8)+(4445*n^2-81127*n+ 370464)*a(n-9)+(4485*n^2-81519*n+378708)*a(n-10)+(-1573*n^2+34811*n-198756)*a(n -11)+(-2698*n^2+53414*n-265548)*a(n-12)+(346*n^2-16214*n+155328)*a(n-13)+(985*n ^2-26033*n+180312)*a(n-14)+(-269*n^2+10687*n-95964)*a(n-15)+(-484*n^2+15848*n-\ 129168)*a(n-16)+(-3*n^2+315*n-4152)*a(n-17)+(130*n^2-4190*n+33720)*a(n-18)+20*( 2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a (6) = 3, a(7) = 7, a(8) = 19, a(9) = 52, a(10) = 148, a(11) = 432, a(12) = 1295 , a(13) = 3977, a(14) = 12496, a(15) = 40102, a(16) = 131216, a(17) = 436971, a (18) = 1478403, a(19) = 5073031}, [0, 1, 0, 1, 1, 3, 7, 19, 52, 148, 432, 1295, 3977, 12496, 40102, 131216, 436971, 1478403, 5073031, 17627300, 61932242, 219732707, 786355576, 2835641441, 10294628750, 37598221319, 138049992797, 509298318081, 1886959957619, 7018174570254, 26193738681386, 98071797256533, 368250319067033, 1386399644646968, 5232228666004443, 19790441172151133, 75010407057589792, 284852245447893322, 1083656232973558756, 4129379814164481854 , 15759860803469185527, 60235364274491936535, 230538602907709741908, 883473546561105541160, 3389761375877189046810, 13020900577616168269924, 50070542882615951026176, 192738371666350321023429, 742635732789386327456027, 2864073576208645662783925], 224690202786079139080831307126296996879829969569185\ 0700096549613585219148971743878802966510624726337543115050703449726874353928390\ 2537459826862456863873861648818659483704914787794906458330655806574865505402790\ 4628840730550191624504905635205370921456672847718537177269502477785091407045014\ 2707835160321658689498250694910745100196693913024553242935617928698633367744117\ 9225627795300131865461372298920618398192713641647310459637874105289778880647227\ 0769873815254515710831329612533433587931286530814545701190618782362402622564488\ 1239987158077703430933972235469622875301244586388542461665799188106132] ---------------------------- (A,B)= , {1, 3, 4}, {2, 3} [P^2*x^8+2*P^2*x^7-P^2*x^6-2*P*x^7-3*P^2*x^5-2*P*x^6+3*P^2*x^4+4*P*x^5+x^6+4*P^ 2*x^3-2*P^2*x^2-7*P*x^3-2*x^4-2*P^2*x+2*P*x^2+3*x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3 -x^3+x-1)/((x^4+x^3)*C-x^4-x^3+x^2+x-1), {-3*n*(n-3)*a(n)+36*(n-1)*(n-4)*a(n-1) -(145*n-292)*(n-5)*a(n-2)+(180*n^2-1788*n+3816)*a(n-3)+(184*n^2-1020*n+872)*a(n -4)+(-499*n^2+5175*n-12944)*a(n-5)+(-47*n^2-1131*n+7736)*a(n-6)+(507*n^2-4167*n +4308)*a(n-7)+(-17*n^2+33*n+3620)*a(n-8)+(-119*n^2-1749*n+22712)*a(n-9)+(-189*n ^2+5841*n-41832)*a(n-10)+(-199*n^2+6501*n-44492)*a(n-11)+(388*n^2-10302*n+68084 )*a(n-12)+(234*n^2-6300*n+41856)*a(n-13)+(-279*n^2+7383*n-48660)*a(n-14)+(-102* n^2+2622*n-16800)*a(n-15)+(122*n^2-3426*n+23800)*a(n-16)+28*(2*n-25)*(n-16)*a(n -17) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 22 , a(8) = 57, a(9) = 157, a(10) = 456, a(11) = 1387, a(12) = 4382, a(13) = 14276 , a(14) = 47671, a(15) = 162380, a(16) = 562110, a(17) = 1971832}, [0, 1, 1, 2, 4, 9, 22, 57, 157, 456, 1387, 4382, 14276, 47671, 162380, 562110, 1971832, 6993771, 25037609, 90348649, 328265818, 1199841060, 4408636068, 16274566281, 60328634206, 224472974276, 838060711377, 3138512151942, 11786718715341, 44379396394085, 167494340181361, 633534736857776, 2401166951591724, 9117872402984540, 34683902603286585, 132152493340005768, 504301484871365662, 1927220438465249805, 7374987880757297800, 28258285316372871821, 108406068981272728485, 416347529814217506441, 1600761438324176706514, 6160857275296725411440, 23734338794147088206700, 91519533004112923062012, 353209066485356364639188, 1364310952990964568726512, 5274018976766601628316439, 20403339709345816975501505], 18053628077367640902949903543839626410358077924760\ 8372298494932079883129807035409702498792324105057290644252128991099045360747818\ 1612713459562440974802701599988659028398326462417820592146213608405925494984604\ 5343632252692414072955395659198825319486115641446202005981186511749108000132955\ 1456742140600124562191155903435527454957953107563312088018094942113945733265177\ 2063995563885839806441050583308470589128208266036665116025397124288546332803554\ 7971268098673233170151181065262581305997431159357228765292981370658496902358695\ 262131224418702172861398018769375681599924631755889553666633291986063480] ---------------------------- (A,B)= , {1, 3, 4}, {2, 4} [P^2*x^9-2*P^2*x^7-2*P*x^8+3*P^2*x^6+2*P*x^7+2*P^2*x^5+x^7-3*P^2*x^4-6*P*x^5-2* x^6+3*P^2*x^3+5*P*x^4+3*x^5+P^2*x^2-2*P*x^3-x^4-3*P^2*x-4*P*x^2-x^3+P^2+6*P*x+3 *x^2-2*P-3*x+1, ((x^4-x^3+x^2)*C-1+x)/((x^5-x^3+x^2)*C+x^2+x-1), {-4*n*(n-4)*a( n)+5*(n-1)*(11*n-54)*a(n-1)+(-287*n^2+2225*n-3318)*a(n-2)+(696*n^2-6726*n+14112 )*a(n-3)+(-692*n^2+8594*n-24144)*a(n-4)+(-212*n^2+74*n+6456)*a(n-5)+(1155*n^2-\ 12129*n+29658)*a(n-6)+(-1001*n^2+12065*n-33150)*a(n-7)+(-45*n^2-957*n+5394)*a(n -8)+(730*n^2-5560*n-3528)*a(n-9)+(-276*n^2-1776*n+46860)*a(n-10)+(-311*n^2+7559 *n-54702)*a(n-11)+(71*n^2+2215*n-29478)*a(n-12)+(419*n^2-13535*n+104358)*a(n-13 )+(-298*n^2+8938*n-67932)*a(n-14)+(-148*n^2+4006*n-26340)*a(n-15)+(329*n^2-\ 10121*n+77442)*a(n-16)+(-86*n^2+2930*n-24444)*a(n-17)+(-70*n^2+2086*n-15372)*a( n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a (5) = 4, a(6) = 8, a(7) = 18, a(8) = 41, a(9) = 101, a(10) = 262, a(11) = 723, a(12) = 2103, a(13) = 6411, a(14) = 20316, a(15) = 66440, a(16) = 222818, a(17) = 762419, a(18) = 2651181, a(19) = 9340509}, [0, 1, 1, 2, 4, 8, 18, 41, 101, 262, 723, 2103, 6411, 20316, 66440, 222818, 762419, 2651181, 9340509, 33264659, 119538425, 432860599, 1577745323, 5783641099, 21307860571, 78850601234, 292948361107, 1092257101219, 4085630806257, 15327357747167, 57655378924478, 217410798277060, 821688345109942, 3112028946117673, 11809312792965734, 44894298313668742, 170958399947131058, 652040796441414994, 2490583446275977445, 9526433741280442574, 36486059086030675561, 139913117134335192304, 537149323993925204013, 2064474168748390617674, 7942853619856005551363, 30589555450975456280296, 117917384525870768066645, 454957382513734284168011, 1756844680606019258433276, 6789669708999830265803207], 576124193169182822140058\ 5090193691799965585391512796657281896787710109936461146765516751925201276436251\ 7456952114318680672019696145467564527016742323145700022477771313228742509502254\ 3745285463392331385315344408609839082994731847845203346723459468174887709835785\ 2701218649775833763138362914686827842896702945352494200681053375422103621468090\ 3040149732309536138597270364030889000453031908816375030839897734393613963547374\ 9701922530878181692741380669650739632624416151781920202343779207581952473590753\ 7606176936527080023126008832983522800775035818739330874161452111686018007845744\ 036970595738754520] ---------------------------- (A,B)= , {1, 3, 4}, {2, 5} [P^2*x^11+2*P^2*x^10-4*P^2*x^9-2*P*x^10-8*P^2*x^8-2*P*x^9+9*P^2*x^7+8*P*x^8+x^9 +15*P^2*x^6+2*P*x^7-13*P^2*x^5-20*P*x^6-3*x^7-13*P^2*x^4+5*P*x^5+4*x^6+12*P^2*x ^3+24*P*x^4+5*x^5+4*P^2*x^2-16*P*x^3-10*x^4-5*P^2*x-10*P*x^2+4*x^3+P^2+10*P*x+6 *x^2-2*P-5*x+1, ((x^5-x^4+x^2)*C+x^4-x^3+2*x-1)/((x^6-2*x^4+x^2)*C+x^5-2*x^3+x^ 2+2*x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)+(-603*n^2+5181*n-7980)*a(n -2)+(2027*n^2-21325*n+46188)*a(n-3)+(-2777*n^2+36901*n-105840)*a(n-4)+(-1941*n^ 2+14049*n-14256)*a(n-5)+(10353*n^2-141813*n+468480)*a(n-6)+(-6483*n^2+122547*n-\ 537096)*a(n-7)+(-11863*n^2+157949*n-496116)*a(n-8)+(14515*n^2-254465*n+1087620) *a(n-9)+(5542*n^2-51950*n+10608)*a(n-10)+(-11361*n^2+176901*n-571296)*a(n-11)+( -1415*n^2+9277*n+11004)*a(n-12)+(2240*n^2+20036*n-595080)*a(n-13)+(2519*n^2-\ 80965*n+692532)*a(n-14)+(2953*n^2-123983*n+1158852)*a(n-15)+(-3675*n^2+128421*n -1126428)*a(n-16)+(-2994*n^2+105342*n-917832)*a(n-17)+(2572*n^2-92888*n+837576) *a(n-18)+(1462*n^2-51926*n+461040)*a(n-19)+(-950*n^2+35554*n-330888)*a(n-20)+(-\ 437*n^2+16327*n-151596)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*(n-\ 22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a( 7) = 22, a(8) = 56, a(9) = 148, a(10) = 403, a(11) = 1129, a(12) = 3250, a(13) = 9605, a(14) = 29115, a(15) = 90411, a(16) = 287195, a(17) = 931645, a(18) = 3080656, a(19) = 10364065, a(20) = 35407671, a(21) = 122622967, a(22) = 429775041, a(23) = 1522175306}, [0, 1, 1, 2, 4, 9, 22, 56, 148, 403, 1129, 3250 , 9605, 29115, 90411, 287195, 931645, 3080656, 10364065, 35407671, 122622967, 429775041, 1522175306, 5440968754, 19605708662, 71147174523, 259798105565, 953904154562, 3519626877007, 13043165532461, 48525266842420, 181168607294379, 678551276303561, 2548831454154196, 9599499496159380, 36241747615129145, 137131871562978184, 519950413487816381, 1975211637600696829, 7516828740561699796, 28653145750185221870, 109390414513556376094, 418227754917718164790, 1601158867953597524015, 6137745931891241299067, 23556151166286927561860, 90508942827017151618793, 348131738210796045307924, 1340405239406424005190303, 5165904006350469955030870], 395496528869102572411150\ 6122654309145849627450594968121082499090928366907518526907770878057242078807781\ 5636266726572968484946236987810138092360278377140861917609186771281380898932457\ 6425741705214370329153855312570392483353218834673705082268387697425692932297413\ 0378664902245865845248870241195488210473809367944892939896862304866207205785074\ 4559447457167381560108992884620257533278525394505948655767234168981078562670215\ 0193935356328345432518668087306980630588857249827707931336430062153888319994742\ 3083403246620306093767590631632781057704040510680102036176517897332986280885838\ 056749836461205488] ---------------------------- (A,B)= , {1, 3, 4}, {3, 4} [P^2*x^5+2*P^2*x^4-2*P*x^5+3*P^2*x^3-P*x^4+x^5-2*P^2*x^2-4*P*x^3-2*P^2*x+2*P*x^ 2+x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3+x-1)/(C*x^3+x^2+x-1), {-2*n*(n-4)*a(n)+24*(n-\ 1)*(n-5)*a(n-1)-(97*n-196)*(n-6)*a(n-2)+(122*n^2-1316*n+2940)*a(n-3)+(116*n^2-\ 848*n+1224)*a(n-4)+(-320*n^2+3695*n-10134)*a(n-5)+(17*n^2-422*n+1884)*a(n-6)+( 181*n^2-2938*n+11604)*a(n-7)+(39*n^2-225*n-702)*a(n-8)+(-39*n^2+858*n-4584)*a(n -9)+(-21*n^2+327*n-1158)*a(n-10)+(3*n^2-84*n+564)*a(n-11)+2*(n-12)*(2*n-23)*a(n -12) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 17 , a(8) = 38, a(9) = 90, a(10) = 227, a(11) = 610, a(12) = 1740}, [0, 1, 1, 2, 4 , 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412, 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621, 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881] , 46840987835805305680295385762215144598061585908475603325882180608923163497273\ 4667329093549734419118488704610512897673924502920932589570988767191668999598853\ 9425445407475960011725308818856302399341343285405766891034005982192093822979842\ 2429184449853917505668145383462037188011564376288723186561651677339596514460868\ 7363972870028595271952148534558548051394556757430400989971895532616395727871778\ 3416054665099795742302666983381216788163807080657469623190031379528019611724700\ 7463621545240230632062467074703593889981272051107076554738379445709912032073126\ 17661846193052878372376369912293942104239910] ---------------------------- (A,B)= , {1, 3, 4}, {3, 5} [P^2*x^5+2*P*x^6+x^7-2*P^2*x^4-3*P*x^5-P^2*x^3-4*P*x^4-x^5+7*P^2*x^2+10*P*x^3+7 *x^4-5*P^2*x-16*P*x^2-9*x^3+P^2+10*P*x+9*x^2-2*P-5*x+1, ((-x^4+x^3-x^2)*C-x^3+x ^2-2*x+1)/((x^3-x^2)*C-2*x+1), {5*n*(n-5)*a(n)-3*(n-1)*(29*n-168)*a(n-1)+(627*n ^2-5355*n+8232)*a(n-2)+(-2427*n^2+24945*n-53448)*a(n-3)+(5456*n^2-65854*n+ 178848)*a(n-4)+(-7119*n^2+100077*n-330696)*a(n-5)+(4878*n^2-81804*n+328968)*a(n -6)+(-866*n^2+24184*n-139248)*a(n-7)+(-1138*n^2+13814*n-31824)*a(n-8)+(936*n^2-\ 15546*n+62136)*a(n-9)+(-262*n^2+4664*n-19464)*a(n-10)+(26*n^2-478*n+2016)*a(n-\ 11)+(-10*n^2+296*n-2160)*a(n-12)+4*(2*n-27)*(n-14)*a(n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 51, a(9) = 128, a(10) = 332, a(11) = 890, a(12) = 2467, a(13) = 7071}, [0, 1, 1, 2, 4, 9, 21, 51, 128, 332, 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893 , 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794], 306679469566240334367148\ 4777113292042887572261123698166688311117565853502080141229961447995887370912605\ 9060464412778905033502472843352890197379660708567085519003331858373649974017027\ 6878803804394932936877846444701013478209448766365778447466727614031124079379399\ 8017566229379442319489102385022660113589581205443104963380179049611048050350227\ 9946264698496276660460795676764446611029565236455527428462848676689782408754658\ 0776376843160823889844207534936440582693983525585787081538641834036562014660944\ 3711995399425384417643311563273346478989690689445329076104745819030209228449660\ 527708313868202742] ---------------------------- (A,B)= , {1, 3, 4}, {4, 5} [P^2*x^9+2*P^2*x^8-2*P^2*x^7-7*P^2*x^6+2*P*x^7-2*P^2*x^5+4*P*x^6+9*P^2*x^4+P*x^ 5+5*P^2*x^3-10*P*x^4+x^5-4*P^2*x^2-8*P*x^3+2*x^4-2*P^2*x+6*P*x^2+3*x^3+P^2+4*P* x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^5-x^3)*C+x^4-2*x^2-x+1), {5*n*(n-5)*a(n )-60*(n-1)*(n-6)*a(n-1)+(227*n^2-2077*n+3276)*a(n-2)+(-127*n^2+1919*n-4944)*a(n -3)+(-912*n^2+9768*n-23400)*a(n-4)+(1087*n^2-15785*n+51228)*a(n-5)+(1941*n^2-\ 23697*n+69720)*a(n-6)+(-2351*n^2+38263*n-149208)*a(n-7)+(-2830*n^2+41132*n-\ 148356)*a(n-8)+(2168*n^2-41530*n+194316)*a(n-9)+(2766*n^2-46152*n+192108)*a(n-\ 10)+(-727*n^2+17513*n-102036)*a(n-11)+(-1443*n^2+25797*n-111516)*a(n-12)+(49*n^ 2-3905*n+39744)*a(n-13)+(322*n^2-6194*n+28440)*a(n-14)-(11*n-145)*(7*n-204)*a(n -15)+(-58*n^2+1718*n-12744)*a(n-16)+10*(n-15)*(5*n-76)*a(n-17)+12*(2*n-29)*(n-\ 16)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a( 7) = 17, a(8) = 37, a(9) = 83, a(10) = 193, a(11) = 467, a(12) = 1183, a(13) = 3150, a(14) = 8829, a(15) = 26001, a(16) = 80077, a(17) = 256267, a(18) = 846434}, [0, 1, 1, 2, 4, 8, 17, 37, 83, 193, 467, 1183, 3150, 8829, 26001, 80077, 256267, 846434, 2867389, 9910198, 34798560, 123744998, 444557595, 1610535495, 5875644906, 21563813404, 79547096722, 294761206226, 1096571498649, 4093914030191, 15332795906754, 57591019205644, 216884177206519, 818737739543095 , 3097576838331157, 11743198141556576, 44603904916705967, 169716430110249819, 646826515298902735, 2468984056704555466, 9437857924967319095, 36125621005971229071, 138455251814724924091, 531280996183245393025, 2040943780573551226799, 7848799960541537578741, 30214582233905841664204, 116425627125257788007594, 449033223860529513916981, 1733353040938806186698407], 1405818347259928999145066497892143275197544336909976391074897982576990854722215\ 7775099124159632553311059501886643126323282670138436271512505659901897568630707\ 1434217490073069800365002284708998300627122464475194566403719469918204066370712\ 6860152786901458557799435198098426634496108648300329136878363886528656361178620\ 3613751157729694511152584319892706533314146870666393456508344196995770323748557\ 9812408373108258725610679172106076636684021300745241985705595849540103960125437\ 1573842787954001936893049541688941960564333145933629426116776341906752643940044\ 729965544949871313184569625486418710175645] ---------------------------- (A,B)= , {1, 3, 4}, {1, 2, 3} [P^2*x^8-2*P^2*x^6+P^2*x^5+3*P^2*x^4-P^2*x^3-2*P*x^4-2*P^2*x^2+P*x^3+2*P*x^2+P^ 2-2*P+1, -1/(C*x^4-x^4+x^2-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)+(-49*n ^2+393*n-596)*a(n-2)+(-59*n^2+381*n-544)*a(n-3)+(99*n^2-981*n+2160)*a(n-4)+(148 *n^2-1008*n+1412)*a(n-5)+(-163*n^2+1455*n-2756)*a(n-6)+(-157*n^2+1281*n-2540)*a (n-7)+(155*n^2-1395*n+2752)*a(n-8)+(56*n^2-426*n+592)*a(n-9)+(-81*n^2+627*n-636 )*a(n-10)+(2*n^2-114*n+760)*a(n-11)+(8*n^2-12*n-440)*a(n-12)-2*(n-8)*(n-10)*a(n -13)+4*(2*n-19)*(n-10)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5 ) = 1, a(6) = 3, a(7) = 7, a(8) = 19, a(9) = 55, a(10) = 168, a(11) = 536, a(12 ) = 1762, a(13) = 5931, a(14) = 20332}, [0, 1, 0, 1, 1, 3, 7, 19, 55, 168, 536, 1762, 5931, 20332, 70737, 249102, 886168, 3179810, 11495066, 41824317, 153042669, 562834674, 2079209436, 7711974938, 28708672206, 107224645085, 401683060290, 1508930820481, 5682704551764, 21451376281145, 81150955149034, 307611670657913, 1168213116203182, 4444234602157842, 16934733426606177, 64628155052186100, 246994200054092151, 945227940723067114, 3621908890462952621, 13895010126311173165, 53366940544793261339, 205187925983370921216, 789720362000443149381, 3042388723245024688603, 11731548233442336209907, 45276841794211929740056, 174887727355429471969815, 676064945724967802232136, 2615459190942203006652505, 10125663846242967019506322], 92292761718434455542165\ 3405958330622275427136689717778039863418524039845239659899925108889399484947978\ 3883896305929302659718119599600241351163832807482659085772801072939376317982419\ 0625925304623053764702920923512975116335844416086961690461952856669668918959585\ 9838918691615701890264713103775871410307516948379955688497019909207877755606256\ 4799877733042775610182800153334356566488618334614070559327216361726395847391051\ 6662035718891053739848384562360030986972877247109854092373493695034304447871525\ 1116715831441672565857380703349489427562838948736315884380339278250148129306038\ 5965610819731925753] ---------------------------- (A,B)= , {1, 3, 4}, {1, 2, 4} [P^2*x^9-2*P^2*x^8+P^2*x^7+3*P^2*x^6-3*P^2*x^5-2*P*x^6+2*P*x^5+3*P^2*x^3+P*x^4-\ 2*P^2*x^2-4*P*x^3-P^2*x+2*P*x^2+x^3+P^2+2*P*x-2*P-x+1, (C*x^2-1)/((x^5-x^4+x^2) *C+x^2-1), {-4*n*(n-4)*a(n)+(n-1)*(41*n-210)*a(n-1)+(-125*n^2+1037*n-1590)*a(n-\ 2)+(46*n^2-712*n+1896)*a(n-3)+(327*n^2-2865*n+5670)*a(n-4)+(-458*n^2+5012*n-\ 13056)*a(n-5)+(-73*n^2+211*n+894)*a(n-6)+(641*n^2-6833*n+17622)*a(n-7)+(-479*n^ 2+5399*n-13530)*a(n-8)+(-190*n^2+1624*n-2616)*a(n-9)+(481*n^2-4747*n+7242)*a(n-\ 10)+(-222*n^2+2220*n-2880)*a(n-11)+(-32*n^2-76*n+4032)*a(n-12)+(34*n^2+590*n-\ 9804)*a(n-13)+(-24*n^2+3000)*a(n-14)+(80*n^2-1940*n+11784)*a(n-15)-2*(5*n-62)*( 7*n-93)*a(n-16)+12*(2*n-25)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a (4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 10, a(9) = 29, a(10) = 78, a(11) = 239, a(12) = 747, a(13) = 2435, a(14) = 8129, a(15) = 27699, a(16) = 95907, a (17) = 336424}, [0, 1, 0, 1, 1, 2, 5, 10, 29, 78, 239, 747, 2435, 8129, 27699, 95907, 336424, 1192993, 4269295, 15398384, 55916283, 204257631, 750054814, 2767141014, 10251369384, 38121087954, 142241938577, 532397622722, 1998365818489 , 7520436878929, 28369466586586, 107255689214680, 406331345063660, 1542298193839878, 5864460496763260, 22336170165090294, 85204864019164987, 325501853280198628, 1245196976326396701, 4769617883212149518, 18291882899696854392, 70231751947871782604, 269949268305053441505, 1038675183616635090487, 4000401341084869034008, 15421709891956545974677, 59504131816541507960364, 229788981487247290493040, 888099995179360416301385, 3435020817606574241759967], 300860068643388013223504449746517299819636339909959\ 0533946296802465842860931881134773122556221290148928918772782388180758951944887\ 4348345514808332282086635558376947251271224783186431158916717867392696054491602\ 6321985201514409302311437315961899898798569567045000328314970222385283385808500\ 6967593124253570358069215606157997663559877604253531876273284549989451538565695\ 2152154605062673223306716151671619782438053030607768579458526468864370404325276\ 2715449390166479505540129066770108694353479406683350895300300775314724578445479\ 6050938984054982081947652247286503154233816802206519908005245804726479] ---------------------------- (A,B)= , {1, 3, 4}, {1, 2, 5} [P^2*x^11-5*P^2*x^9+2*P^2*x^8+12*P^2*x^7-2*P*x^8-5*P^2*x^6-4*P*x^7-15*P^2*x^5+4 *P*x^6+7*P^2*x^4+11*P*x^5+11*P^2*x^3-10*P*x^4+x^5-3*P^2*x^2-16*P*x^3+4*x^4-3*P^ 2*x+4*P*x^2+5*x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((x^3+x^2)*C+x^2+x-1)/((x^6-x^5-x^4+ x^3+x^2)*C+x^5-x^4-x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)+( -331*n^2+2951*n-4608)*a(n-2)+(483*n^2-5763*n+13344)*a(n-3)+(918*n^2-8358*n+ 16824)*a(n-4)+(-3038*n^2+39142*n-116112)*a(n-5)+(-521*n^2-941*n+23556)*a(n-6)+( 7496*n^2-106480*n+371676)*a(n-7)+(-1697*n^2+36265*n-169404)*a(n-8)+(-9964*n^2+ 156440*n-617268)*a(n-9)+(3747*n^2-68571*n+309420)*a(n-10)+(7339*n^2-120083*n+ 480588)*a(n-11)+(-3780*n^2+71196*n-341556)*a(n-12)+(-2638*n^2+36392*n-74472)*a( n-13)+(2047*n^2-41975*n+224352)*a(n-14)+(-186*n^2+16320*n-180300)*a(n-15)+(-540 *n^2+12006*n-69576)*a(n-16)+(604*n^2-20462*n+169668)*a(n-17)+(10*n^2-272*n+2304 )*a(n-18)+(-241*n^2+7841*n-63720)*a(n-19)+(26*n^2-778*n+5832)*a(n-20)+20*(2*n-\ 31)*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 18, a(9) = 48, a(10) = 132, a(11) = 377, a(12) = 1111, a( 13) = 3376, a(14) = 10545, a(15) = 33769, a(16) = 110562, a(17) = 369109, a(18) = 1253391, a(19) = 4319446, a(20) = 15077181, a(21) = 53213068}, [0, 1, 0, 1, 1 , 3, 7, 18, 48, 132, 377, 1111, 3376, 10545, 33769, 110562, 369109, 1253391, 4319446, 15077181, 53213068, 189620404, 681363835, 2466281084, 8984400327, 32914873207, 121192411582, 448233123310, 1664475107725, 6203311749969, 23195015760951, 86988546336547, 327125135618202, 1233253036179190, 4660050589585097, 17646269668511487, 66953180299599382, 254498361179141866, 969036171326589747, 3695620624600029909, 14115071398309547902, 53986742412094205326, 206758410944564921085, 792826469904053491608, 3043698949580818819028, 11697850432626509890703, 45005512511574675886771, 173323361015666983398714, 668126194037156687413734, 2577803342593654504965533], 2051339252397369129109908160585946594716874663925482136206115211255416384626283\ 7539321746481718216995918929351919650806121380952715853370661076788251472041948\ 6874786624344649764362279340826320127306309730018443635078798522824385013653058\ 7176949476762113042286854203380708768026281462724994360517816957717484039728622\ 7978113582174747838537794218044693899755072503619952317168841267003272809293322\ 9041149811554137517457142664235747075598059823144316526596748027001226700014834\ 0979778494503017932660619879705748611581420830371871143828443628657163103985229\ 008359318098655849617988040889058330416798] ---------------------------- (A,B)= , {1, 3, 4}, {1, 3, 4} [P^2*x^5+2*P^2*x^4-2*P*x^5-P*x^4+x^5-3*P^2*x^2+4*P*x^2+P^2-x^2-2*P+1, (C*x^3-1) /(C*x^3+x^2-1), {-2*n*(n-4)*a(n)+(n-1)*(17*n-90)*a(n-1)+(-28*n^2+262*n-420)*a(n -2)+(-69*n^2+543*n-930)*a(n-3)+(138*n^2-1422*n+3300)*a(n-4)+(87*n^2-891*n+2250) *a(n-5)+(-176*n^2+2309*n-7410)*a(n-6)-3*(n-3)*(23*n-162)*a(n-7)+(77*n^2-1250*n+ 5040)*a(n-8)+(30*n^2-336*n+564)*a(n-9)-9*(n-11)*(n-10)*a(n-10)+(3*n^2-84*n+564) *a(n-11)+2*(n-12)*(2*n-23)*a(n-12) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 23, a(10) = 64, a(11) = 191, a( 12) = 599}, [0, 1, 0, 1, 1, 2, 4, 9, 23, 64, 191, 599, 1948, 6508, 22194, 76921 , 270099, 958699, 3433841, 12394906, 45042074, 164642011, 604938541, 2232965570 , 8276456989, 30790837634, 114937415514, 430361256871, 1615930514318, 6083172039808, 22954478946444, 86807407106172, 328949166304185, 1248882163375950, 4749841871072163, 18094713236195971, 69038884750550145, 263793556627774938, 1009312130495860923, 3866726896447161971, 14831562294610740000, 56954359015957128256, 218946131853219424616, 842545682854457000293, 3245435586350481740697, 12512815359874744138387, 48285890048233493203843, 186487887787147450650659, 720824372882141752217882, 2788310451132590455188226], 245282007020343926546855654308108812838246786960457\ 1853212820414518677561179962225949074456832318216009026509688600130472761288759\ 9479209707915146927962773115092815554721400740952881063674171634617368420778290\ 4933199922269619673333795778775535952409388114482531376481302094328087664905183\ 7419261274428002887648567930529154234077442914944244786458039983853011237571475\ 2975893486268250650896002019407240874304641903803944719626745226402154696268325\ 7296413802077342869453101595955972873612351088647611345315609191126673473012690\ 9986257196652762652851363035212729570681965764348536825837252600899075] ---------------------------- (A,B)= , {1, 3, 4}, {1, 3, 5} [x^7+P^2*x^4-5*P*x^5+2*x^6+4*P^2*x^3-4*P*x^4+2*x^5-2*P*x^3+4*x^4-3*P^2*x-2*P*x^ 2-2*x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, ((x^4+x^2)*C+x^3+x-1)/(C*x^2+x^2+x-1), {5*n* (n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(355*n^2-3125*n+4860)*a(n-2)+(-799*n^2+ 8675*n-19236)*a(n-3)+(549*n^2-8079*n+25512)*a(n-4)+(618*n^2-5802*n+9144)*a(n-5) +(-784*n^2+10292*n-29280)*a(n-6)+(-189*n^2+2847*n-11268)*a(n-7)+(60*n^2-546*n-\ 888)*a(n-8)+(192*n^2-4020*n+20928)*a(n-9)+(123*n^2-2877*n+16860)*a(n-10)+10*(n-\ 12)*(2*n-25)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6 ) = 3, a(7) = 6, a(8) = 15, a(9) = 37, a(10) = 98, a(11) = 270}, [0, 1, 0, 1, 1 , 3, 6, 15, 37, 98, 270, 779, 2337, 7263, 23265, 76464, 256789, 878056, 3047947 , 10714661, 38069815, 136497271, 493230012, 1794334815, 6566208736, 24153329309 , 89255685675, 331190450906, 1233451440396, 4609082396503, 17275176101662, 64927885164648, 244647425383540, 923980441097829, 3497196823184601, 13263059384947299, 50393245004293950, 191801032156093815, 731189792517550758, 2791677380300259939, 10673720262179411869, 40864398970172392252, 156646101921420328606, 601185610122249779803, 2309850885953856158922, 8884230893482206878910, 34205222729674099322932, 131819508946989067512545, 508465231586169870523773, 1962990692539327700488721], 1597262074633795000356786\ 8462409559402472748253364870231435466163883620353832084214360927343479914415432\ 5436547377432497808745653755631185600829778912457781946683142078468791956413621\ 7219300908922354933570035769838749281561580064343220869643131249368318421121997\ 7288821901893829326776312095885758838070279246365848690657829509174729257839758\ 2102394139983245459007880196561144385191741874640845684357932883865642028608984\ 7561593794290987917413051695510839078440219958783772982210726391717580745174956\ 0019059068870185048287653481123631304171369639552396046578201625801863295425451\ 96820951637852889] ---------------------------- (A,B)= , {1, 3, 4}, {1, 4, 5} [P^2*x^9-5*P^2*x^7+2*P*x^8-3*P^2*x^6+4*P*x^7+8*P^2*x^5-4*P*x^6+x^7+9*P^2*x^4-13 *P*x^5+4*x^6-3*P^2*x^3-10*P*x^4+5*x^5-5*P^2*x^2+6*P*x^3+2*x^4+8*P*x^2-3*x^3+P^2 -3*x^2-2*P+1, ((-x^4-x^3)*C-x^3-x^2+1)/((x^5-x^4-x^3)*C+x^4-x^3-2*x^2+1), {5*n* (n-5)*a(n)-6*(n-1)*(7*n-44)*a(n-1)+(51*n^2-579*n+984)*a(n-2)+(293*n^2-2755*n+ 5352)*a(n-3)+(-374*n^2+4882*n-13008)*a(n-4)+(-1226*n^2+14356*n-40248)*a(n-5)+( 969*n^2-14673*n+50868)*a(n-6)+(3004*n^2-43268*n+155736)*a(n-7)+(-775*n^2+15473* n-72036)*a(n-8)+(-4148*n^2+70462*n-302244)*a(n-9)+(-411*n^2+2685*n+14244)*a(n-\ 10)+(2856*n^2-55314*n+271920)*a(n-11)+(530*n^2-4666*n-19452)*a(n-12)+(-1108*n^2 +24860*n-143364)*a(n-13)+(181*n^2-10127*n+104376)*a(n-14)+(552*n^2-16326*n+ 123204)*a(n-15)+(-182*n^2+6232*n-52296)*a(n-16)+(-241*n^2+7841*n-63720)*a(n-17) +(26*n^2-778*n+5832)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1 , a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 8, a(9) = 18, a(10) = 43, a(11) = 111, a(12) = 308, a(13) = 908, a(14) = 2815, a(15) = 9075, a(16) = 30150, a(17) = 102510, a(18) = 354849, a(19) = 1245926}, [0, 1, 0, 1, 1, 2, 4 , 8, 18, 43, 111, 308, 908, 2815, 9075, 30150, 102510, 354849, 1245926, 4425139 , 15866224, 57342339, 208654666, 763723430, 2809848282, 10385093262, 38539417532, 143544938809, 536421809672, 2010621045747, 7556945582012, 28474499806896, 107540766161261, 407024845697582, 1543588673304076, 5864682398913906, 22320571445969480, 85087364956482706, 324847522189987404, 1241962951715712011, 4754620014270243074, 18225009304629976402, 69941344733245125871, 268711643973431996743, 1033473954276886937033, 3978775058382206841511, 15332539705342815671930, 59138914793482341157411, 228301251284437781685254, 882066632552354140197532], 73946084170620627757438450\ 7948877307702335448695172187324766405638189526373726176405656900243127778784787\ 1034245960909414762072743937255167912848235911545426377523033025805030847827000\ 9381595486269273447367483339625484211865435901199790795158529258444698332345359\ 9680643223861036641516814443261762137731301431721607338266854996767646206322350\ 4546451960338701737911414705989999033584316890437276479486157154139715940970682\ 5818364269870635576074874131408584504650130308568558653037686354935578636582976\ 6644530122239444991624669451312142634167906252217122160625387193183824061973391\ 631637112881319] ---------------------------- (A,B)= , {1, 3, 4}, {2, 3, 4} [P^2*x^9+2*P^2*x^8+P^2*x^7-2*P*x^8+P^2*x^6-2*P*x^7+2*P^2*x^5+x^7+P^2*x^4-2*P*x^ 5+P^2*x^3-P*x^4-P^2*x^2+x^4-2*P^2*x-x^3+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^4+x-1)/(( x^5+x^4)*C+x^2+x-1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)+(-200*n^2+1592*n-\ 2400)*a(n-2)+(316*n^2-3208*n+6960)*a(n-3)+(-64*n^2+1240*n-4560)*a(n-4)+(-202*n^ 2+2122*n-4860)*a(n-5)+(50*n^2-404*n+480)*a(n-6)+(-71*n^2+23*n+3306)*a(n-7)+(104 *n^2-938*n-84)*a(n-8)+(91*n^2-1501*n+7866)*a(n-9)+(-37*n^2-1241*n+14658)*a(n-10 )+(-47*n^2+3035*n-30006)*a(n-11)+(62*n^2+388*n-10368)*a(n-12)+(35*n^2-1253*n+ 10866)*a(n-13)+(51*n^2-1767*n+14766)*a(n-14)+(116*n^2-3746*n+29940)*a(n-15)+(41 *n^2-1385*n+11586)*a(n-16)+2*(n-15)*(29*n-506)*a(n-17)+(122*n^2-3914*n+31140)*a (n-18)+28*(2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 17, a(8) = 37, a(9) = 86, a(10) = 213, a(11) = 565, a(12) = 1598, a(13) = 4783, a(14) = 15002, a(15) = 48829, a(16) = 163545, a(17) = 559963, a(18) = 1950299, a(19) = 6884899}, [0, 1, 1, 2, 4, 8, 17, 37, 86, 213 , 565, 1598, 4783, 15002, 48829, 163545, 559963, 1950299, 6884899, 24570230, 88470682, 320954099, 1171825685, 4302171768, 15871605731, 58806013412, 218721529535, 816325807123, 3056301037048, 11475399151929, 43198954666608, 163012335709544, 616493653106656, 2336286371712378, 8870521934027053, 33739679307511219, 128543537448159811, 490490870614404150, 1874309167544434502, 7172048436335944550, 27479087851451528408, 105411242083167515772, 404825734912688636486, 1556392944727032633720, 5989848613043592409973, 23074657726870799031449, 88972662569390087384249, 343368460307165487776200, 1326260043346214204162203, 5126779863302836390288524], 439095185528233461153140\ 7025401762270060703780058313160612171729037185501282680516261153598273069215927\ 3706769607822144017352267073683186369691255804391500104483355388917908142077439\ 4205859731895275667423476513126081730888168715811051575687729754491634088777297\ 5321360718802444164425895269640997602260231602244598408058383356893254802320495\ 5857634265264448155406406152332126468786800091154106762390267483915281449535887\ 1776342386040639452363214514012150800362867049024781971997758656535950660108089\ 7826827118399567709265647985512433171806839848775087975948340869791315029170752\ 142320133988663765] ---------------------------- (A,B)= , {1, 3, 4}, {2, 3, 5} [P^2*x^11+4*P^2*x^10+3*P^2*x^9-2*P*x^10-6*P^2*x^8-6*P*x^9-4*P^2*x^7+x^9+12*P^2* x^6+10*P*x^7+2*x^8+4*P^2*x^5-8*P*x^6-2*x^7-12*P^2*x^4-15*P*x^5-2*x^6+2*P^2*x^3+ 16*P*x^4+8*x^5+7*P^2*x^2+4*P*x^3-3*x^4-5*P^2*x-16*P*x^2-6*x^3+P^2+10*P*x+9*x^2-\ 2*P-5*x+1, ((x^5-x^3+x^2)*C+x^4-x^2+2*x-1)/((x^6+x^5-x^4-x^3+x^2)*C+x^5+x^4-x^3 +2*x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)+(-627*n^2+5355*n-8232)*a(n-\ 2)+(2406*n^2-24786*n+53160)*a(n-3)+(-5126*n^2+62734*n-171648)*a(n-4)+(5056*n^2-\ 76784*n+265824)*a(n-5)+(1595*n^2-3565*n-50052)*a(n-6)+(-9329*n^2+134047*n-\ 467028)*a(n-7)+(6447*n^2-128445*n+604020)*a(n-8)+(4847*n^2-42991*n-3192)*a(n-9) +(-7693*n^2+125951*n-464700)*a(n-10)+(-156*n^2-26286*n+260868)*a(n-11)+(3049*n^ 2-19343*n-198876)*a(n-12)+(690*n^2-22182*n+216936)*a(n-13)+(354*n^2-44730*n+ 531552)*a(n-14)+(-2739*n^2+93261*n-799836)*a(n-15)+(-982*n^2+42890*n-422040)*a( n-16)+(2977*n^2-103055*n+894228)*a(n-17)+(844*n^2-31916*n+300096)*a(n-18)+(-\ 1653*n^2+58647*n-518796)*a(n-19)+(-490*n^2+17798*n-161592)*a(n-20)+(651*n^2-\ 24501*n+228684)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*(2*n-35)*(n-22)*a(n -23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21 , a(8) = 50, a(9) = 122, a(10) = 307, a(11) = 801, a(12) = 2173, a(13) = 6134, a(14) = 18000, a(15) = 54779, a(16) = 172296, a(17) = 557834, a(18) = 1851399, a(19) = 6274244, a(20) = 21636456, a(21) = 75700869, a(22) = 268075456, a(23) = 958971548}, [0, 1, 1, 2, 4, 9, 21, 50, 122, 307, 801, 2173, 6134, 18000, 54779, 172296, 557834, 1851399, 6274244, 21636456, 75700869, 268075456, 958971548, 3459912859, 12574448009, 45987279785, 169104883947, 624819127556, 2318427219622 , 8635251611977, 32272456595411, 120982615315441, 454806431726223, 1714108192164617, 6475402457091226, 24515025902428427, 92996063913276607, 353427957080535481, 1345505897070841235, 5130606547423779949, 19593193470668828126, 74929784668348946991, 286932396431839301031, 1100137421786754508663, 4223046488413730052166, 16228869170175568842018, 62432154155326095874426, 240415398767755760918814, 926676626061175791945172, 3575080406022182664865607], 283603834866621558304379477717291514019324280142094\ 4001980002430141862461124009592844084308748144927907693141865311633768533821873\ 8509903933360973119695713315888390537088122662482257412456798246015281552953953\ 6794719132781498288147976545852977044265428673632818185701762695719589924156816\ 9126187613222180579553635021933853231324158130996208309195351396240454484303079\ 7928731664315015365700276270624457669997165682620312479946051387882872163006568\ 6908186358146940546848845263800264637025729377620015719823708059746315079976179\ 0780191626130200590234012600003589601071928834815542198605099237822923] ---------------------------- (A,B)= , {1, 3, 4}, {2, 4, 5} [P^2*x^11+2*P^2*x^10-2*P^2*x^9-2*P*x^10-2*P^2*x^8-2*P*x^9+8*P^2*x^7+4*P*x^8+x^9 +3*P^2*x^6-4*P*x^7-9*P^2*x^5-10*P*x^6-x^7+3*P^2*x^4+9*P*x^5+4*x^6+8*P^2*x^3+2*P *x^4-4*P^2*x^2-14*P*x^3-4*x^4-2*P^2*x+6*P*x^2+6*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, ((x^5-x^4+x^3)*C+x^4-x^3+x^2+x-1)/((x^6-x^4+x^3)*C+x^5-x^3+2*x^2+x-1), {-5*n*(n -5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-227*n^2+2077*n-3276)*a(n-2)+(106*n^2-1760*n+ 4656)*a(n-3)+(1164*n^2-12180*n+29016)*a(n-4)+(-2069*n^2+27157*n-83520)*a(n-5)+( -1070*n^2+10732*n-23412)*a(n-6)+(5079*n^2-73857*n+264828)*a(n-7)+(-2028*n^2+ 37380*n-166572)*a(n-8)+(-4431*n^2+63585*n-219048)*a(n-9)+(3914*n^2-62164*n+ 225684)*a(n-10)+(1517*n^2-17599*n+37464)*a(n-11)+(-2046*n^2+17004*n+75000)*a(n-\ 12)+(-685*n^2+23621*n-217764)*a(n-13)+(-43*n^2+21479*n-265044)*a(n-14)+(1566*n^ 2-59028*n+540060)*a(n-15)+(225*n^2-10707*n+102468)*a(n-16)+(-1598*n^2+57262*n-\ 510792)*a(n-17)+(400*n^2-15218*n+143952)*a(n-18)+(948*n^2-34620*n+315936)*a(n-\ 19)+(-294*n^2+11046*n-102744)*a(n-20)+(-213*n^2+7959*n-73836)*a(n-21)+(162*n^2-\ 6318*n+60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 17, a(8) = 36, a(9) = 79, a(10) = 179 , a(11) = 424, a(12) = 1057, a(13) = 2788, a(14) = 7791, a(15) = 22994, a(16) = 71206, a(17) = 229479, a(18) = 763425, a(19) = 2603347, a(20) = 9049178, a(21) = 31926959, a(22) = 113977610, a(23) = 410772058}, [0, 1, 1, 2, 4, 8, 17, 36, 79, 179, 424, 1057, 2788, 7791, 22994, 71206, 229479, 763425, 2603347, 9049178, 31926959, 113977610, 410772058, 1492004096, 5454830609, 20054877451, 74090822985, 274890210995, 1023759698110, 3825695565455, 14340152136591, 53902251189058, 203126076780590, 767254870980674, 2904354548855202, 11016046318344033, 41860652976211519, 159343736858711293, 607523488725962611, 2319772831640109261, 8870368124199831285, 33963688359117756116, 130206166787045754145, 499759584439113750091, 1920328409069178599567, 7386673077843139762060, 28441826113032082811083, 109617363958996896961153, 422857655869170136616190, 1632612707667362001496527], 1332848182817276401828496\ 2870645479090537215281406265175819239017240878910022856148221752217345448850588\ 3978706377014108295171386479097717052889858358452123575967911944340423840217085\ 4206686493647833178551587366520090757893830962621908156517992615253616868208433\ 4608166594021898218994359449012592198003941665501792846434475425399935329211930\ 5167563241399864536620669834757065402856065637111134425748944634307373354897992\ 2660350042751668014648506604559234355129189415598490076234163524019498667114916\ 5350981020251879366563613983384691512323878233129987619249517037876994320521318\ 73736973908486824] ---------------------------- (A,B)= , {1, 3, 4}, {3, 4, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6+x^7+4*P^2*x^4-3*P*x^5+2*x^6-P^2*x^ 3-6*P*x^4-P^2*x^2+4*P*x^3+3*x^4-2*P^2*x-3*x^3+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^4+x ^3+x-1)/(C*x^4+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-251*n^2+ 2251*n-3528)*a(n-2)+(415*n^2-4583*n+10344)*a(n-3)+(-249*n^2+3285*n-10296)*a(n-4 )+(381*n^2-4425*n+13824)*a(n-5)+(-880*n^2+11858*n-39348)*a(n-6)+(260*n^2-4432*n +17592)*a(n-7)+(29*n^2-811*n+4764)*a(n-8)+(572*n^2-11122*n+53772)*a(n-9)+(104*n ^2-64*n-10008)*a(n-10)+(-134*n^2+3760*n-25548)*a(n-11)+(-106*n^2+2978*n-20232)* a(n-12)+(-9*n^2-549*n+8772)*a(n-13)+(54*n^2-1746*n+13896)*a(n-14)+10*(n-15)*(5* n-76)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4 ) = 2, a(5) = 4, a(6) = 8, a(7) = 16, a(8) = 33, a(9) = 70, a(10) = 154, a(11) = 355, a(12) = 866, a(13) = 2251, a(14) = 6245, a(15) = 18414, a(16) = 57213}, [0, 1, 1, 2, 4, 8, 16, 33, 70, 154, 355, 866, 2251, 6245, 18414, 57213, 185405, 620629, 2129017, 7439673, 26367505, 94489799, 341625588, 1244174774, 4559060423 , 16793971554, 62147298893, 230913270440, 861080917988, 3221443510012, 12087494204050, 45476623926282, 171517584430018, 648354248106943, 2455977538768902, 9321340465911779, 35441752116509282, 134983876626973003, 514909491556427422, 1967067133445470167, 7525021790792224809, 28824459171118788381, 110547017150291455062, 424458971535679006492, 1631548699699498919233, 6277908484546161213133, 24180064675135846380835, 93219365568695176660551, 359700693295280978180857, 1389135191429884881412863], 1145378355778772308910067555335048356091685312865246844429414299682139139920614\ 8898599411579759995466451685977773171469574003163885426613362884949925574181887\ 5964047843014065822101239792997469157251993754030421427733720236438320988692319\ 0730649727392698695963184789394349360091839818570143547180733035007697789367211\ 7570341486333973991522203319527465829595680826552220965296361187163129364139939\ 6967739456614724850558563468510620096360235672410897928717695121321582285203276\ 4118566139741430418829127399990395226872821907624991509636221851358065213549032\ 979738560493821461887587725838024404873596] ---------------------------- (A,B)= , {1, 3, 4}, {1, 2, 3, 4} [P^2*x^9+P^2*x^6+P*x^4-2*P^2*x^2+2*P*x^2+P^2-2*P+1, -1/(C*x^5+x^2-1), {-4*n*(n-\ 4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)+(-62*n^2+560*n-888)*a(n-2)+(-86*n^2+650*n-1020 )*a(n-3)+(180*n^2-1764*n+3816)*a(n-4)+(35*n^2-425*n+1230)*a(n-5)+(-80*n^2+1094* n-3660)*a(n-6)+36*(n-2)*(n-5)*a(n-7)-6*(13*n-48)*(n-6)*a(n-8)+(-22*n^2+238*n-\ 660)*a(n-9)+(74*n^2-794*n+2220)*a(n-10)+(-71*n^2+611*n-978)*a(n-11)+(-14*n^2+ 140*n-240)*a(n-12)+20*(n-6)*(2*n-17)*a(n-13)-(n-10)*(n-9)*a(n-14)+2*(n-10)*(2*n -21)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a (7) = 4, a(8) = 8, a(9) = 21, a(10) = 57, a(11) = 172, a(12) = 541, a(13) = 1769, a(14) = 5935, a(15) = 20311}, [0, 1, 0, 1, 1, 2, 4, 8, 21, 57, 172, 541, 1769, 5935, 20311, 70595, 248454, 883528, 3169522, 11455794, 41675862, 152484014, 560736035, 2071327379, 7682352373, 28597217530, 106804708996, 400098395174, 1502941373487, 5660030188559, 21365400982739, 80824453339557, 306369877679463, 1163483342582935, 4426194718860213, 16865835889495224, 64364688815390711, 245985474796520514, 941361389872644164, 3607071595756776616, 13838014146433542050, 53147775310368120909, 204344362907715811854, 786470510681196661481, 3029857540866161593140, 11683188176715719289655, 45090060994015537082956, 174165766421816549474937, 673272290146524294665482, 2604649078396053542000063], 230115670255032428956252197128342176009049288012066\ 3767361879604884532626205726930032488202663790706260342430128940546373920481984\ 1705516895906625288906922168020314274107604819049501539844058801931843811824191\ 4194259714945256800190895509379092509663347917376700318316440134456464292075561\ 8782338807799132768407334458980887339803599682701929201888243412922119553652573\ 0083788866815083184739001169335942422241906679586713378678788975515374279877404\ 3255361215646058779567855118092967819447454332696284923262505773288612801223641\ 2562271259049889945725051969145264855457221271233020407679251489857545] ---------------------------- (A,B)= , {1, 3, 4}, {1, 2, 3, 5} [P^2*x^11+2*P^2*x^10-2*P^2*x^9-4*P^2*x^8+6*P^2*x^7+6*P^2*x^6-2*P*x^7-8*P^2*x^5-\ 4*P*x^6-3*P^2*x^4+5*P*x^5+7*P^2*x^3+4*P*x^4-8*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P *x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/((x^6-x^4+x^2)*C+x^5-x^3+x^2+x-1), {-5*n*(n-5)* a(n)+3*(n-1)*(23*n-136)*a(n-1)+(-355*n^2+3125*n-4860)*a(n-2)+(778*n^2-8516*n+ 18948)*a(n-3)+(-291*n^2+5571*n-19608)*a(n-4)+(-1707*n^2+18813*n-46956)*a(n-5)+( 2340*n^2-33936*n+114984)*a(n-6)+(1137*n^2-8559*n+5100)*a(n-7)+(-4028*n^2+57616* n-199968)*a(n-8)+(769*n^2-19175*n+98124)*a(n-9)+(3469*n^2-49871*n+172572)*a(n-\ 10)+(-1795*n^2+33263*n-149544)*a(n-11)+(-1600*n^2+21932*n-64224)*a(n-12)+(1201* n^2-21323*n+91092)*a(n-13)+(330*n^2-2334*n-12696)*a(n-14)+(-316*n^2+4580*n-\ 10080)*a(n-15)+(26*n^2-2302*n+24360)*a(n-16)+(-35*n^2+1573*n-14748)*a(n-17)+(-\ 34*n^2+1130*n-9144)*a(n-18)+10*(n-15)*(5*n-76)*a(n-19)+12*(2*n-29)*(n-16)*a(n-\ 20) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 14, a(9) = 33, a(10) = 84, a(11) = 227, a(12) = 650, a(13) = 1953, a(14) = 6108, a(15) = 19734, a(16) = 65452, a(17) = 221724, a(18) = 764100, a(19) = 2670480, a(20) = 9442527}, [0, 1, 0, 1, 1, 3, 6, 14, 33, 84, 227, 650, 1953, 6108, 19734, 65452, 221724, 764100, 2670480, 9442527, 33716036, 121394205, 440217496, 1606342520, 5893584383, 21727933168, 80450224854, 299029614747, 1115362392956, 4173424320044, 15661113420638, 58925147421767, 222246063283084, 840119686720222, 3182361490890179, 12077987830591635, 45921770747157998, 174891902596273587, 667115399637047614, 2548414067355139421, 9748510045516163634, 37339679962251987841, 143197334876169576905, 549796354644870919712, 2113218113006795638385, 8130878053427351472920, 31315420492929568759908, 120721735384035696183535, 465799923815964709349803, 1798795456313999709316407], 147881065624515621884159461561815576529058013091607\ 2671237704447403786031255746399667600659020427916269671333171924102812488717278\ 1747024197225559864813037027336723792831846982264062096734092675528377915754971\ 3164144846117750163396777285026991822117239447226475502041884626461685257753769\ 4276800292018825600795299976763028166915890222370139244222092816107179669311475\ 7068653161240179375523088071128278957804148231724098619486817031337506185822485\ 4988662501155903268284943985585383907091658341154805672198146592741828497980843\ 3407992515925697189981135135519931094085240711498215704573617660163005] ---------------------------- (A,B)= , {1, 3, 4}, {1, 2, 4, 5} [P^2*x^11-3*P^2*x^9+4*P^2*x^8+5*P^2*x^7-2*P*x^8-7*P^2*x^6-2*P*x^7-2*P^2*x^5+4*P *x^6+9*P^2*x^4+P*x^5-10*P*x^4+x^5-5*P^2*x^2+2*x^4+8*P*x^2+P^2-3*x^2-2*P+1, (C*x ^3+x^2-1)/((x^6-x^5+x^3)*C+x^5-x^4+2*x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)* a(n-1)+(-51*n^2+579*n-984)*a(n-2)+(-314*n^2+2914*n-5640)*a(n-3)+(554*n^2-6682*n +17328)*a(n-4)+(958*n^2-10694*n+28656)*a(n-5)+(-1951*n^2+26357*n-85620)*a(n-6)+ (-1335*n^2+17715*n-59352)*a(n-7)+(3489*n^2-52107*n+194340)*a(n-8)+(455*n^2-7219 *n+29904)*a(n-9)+(-3515*n^2+55069*n-213348)*a(n-10)+(950*n^2-15814*n+67296)*a(n -11)+(1862*n^2-27076*n+77772)*a(n-12)+(-1202*n^2+21472*n-97428)*a(n-13)+(-111*n ^2-4557*n+74928)*a(n-14)+(431*n^2-6397*n+16260)*a(n-15)+(-382*n^2+12518*n-\ 101184)*a(n-16)+(166*n^2-6476*n+58140)*a(n-17)+(172*n^2-5672*n+46656)*a(n-18)-\ 21*(n-16)*(7*n-115)*a(n-19)+2*(n-12)*(n-11)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 7, a(9) = 16, a(10) = 36, a(11) = 94, a(12) = 262, a(13) = 785, a(14) = 2472, a(15) = 8079, a(16) = 27141, a(17) = 93073, a(18) = 324303, a(19) = 1144408, a( 20) = 4080441, a(21) = 14675313}, [0, 1, 0, 1, 1, 2, 4, 7, 16, 36, 94, 262, 785 , 2472, 8079, 27141, 93073, 324303, 1144408, 4080441, 14675313, 53169259, 193860933, 710769486, 2618746920, 9690610120, 36000284863, 134212237367, 501958250661, 1882823623151, 7081273675844, 26698025987112, 100885872608969, 382024969755484, 1449432770349133, 5509230171604357, 20975763000180567, 79989181145993645, 305484000561770649, 1168289437060030008, 4473852663365306938 , 17153379390661635822, 65845295834629453495, 253034378752671225418, 973394440518702127076, 3748258354038881702187, 14447077934270343252097, 55734029575902320275815, 215195067311639762092319, 831569247895718202318912], 7014620410724524244482820921198759815845145606109192615283876354230491608496871\ 8053017862171324398154582125717613382391864535900675597471375608608273317946730\ 9831286729096226266121635077843296492240262675389888615823602067165575679451787\ 0049247597878863113361322454899126941520769328528879677971348730118576499453208\ 1935927933143450394383427449722673186949535508365337816572593002620497204479063\ 8116553428284769561202152044814437585508763362236653037856708197549214336230804\ 6758836856647285199883038281350869276509198315599103516013418782338795503581320\ 63652381392415842919539095221170537797563] ---------------------------- (A,B)= , {1, 3, 4}, {1, 3, 4, 5} [P^2*x^7+2*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6+x^7+P^2*x^4-3*P*x^5+2*x^6-3*P^2*x^ 3-2*P^2*x^2+6*P*x^3+2*P*x^2-3*x^3+P^2-2*P+1, (C*x^4+x^3-1)/(C*x^4+x^3+x^2-1), { -5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-75*n^2+753*n-1236)*a(n-2)+(-89*n^2+ 799*n-1320)*a(n-3)+(41*n^2-649*n+1344)*a(n-4)+(442*n^2-5384*n+15636)*a(n-5)+(92 *n^2-994*n+3264)*a(n-6)+(-464*n^2+7024*n-26460)*a(n-7)+(-554*n^2+8944*n-36216)* a(n-8)+(54*n^2-2322*n+16512)*a(n-9)+(411*n^2-8019*n+38916)*a(n-10)+(181*n^2-\ 2627*n+6540)*a(n-11)-6*(n-12)*(n-209)*a(n-12)+(-9*n^2+99*n+348)*a(n-13)+(54*n^2 -1746*n+13896)*a(n-14)+10*(n-15)*(5*n-76)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 3, a(8) = 6, a(9) = 12, a(10) = 28, a(11) = 72, a(12) = 204, a(13) = 619, a(14) = 1975, a (15) = 6526, a(16) = 22115}, [0, 1, 0, 1, 1, 2, 3, 6, 12, 28, 72, 204, 619, 1975, 6526, 22115, 76360, 267508, 948072, 3392274, 12235781, 44439090, 162367743, 596376357, 2200739691, 8155097310, 30333326624, 113210383786, 423832515490, 1591212457928, 5989446109497, 22598554236509, 85453795091376, 323793934453275, 1229221510645600, 4674762606276636, 17807641301400109, 67939912747228352, 259581591375448550, 993151322746176433, 3804654249823908926, 14592904222104524457, 56035875417681879055, 215408050417019098196, 828904623918092568194, 3192798018155131889726, 12309534942818751118285, 47500233680604887750073, 183449149714961631421099, 709062827916501592273286], 6036907974478555635332042930372445007572376289816092131629900882321310760452092\ 9604231163672436470250740010214311166917678185159701819790254626430729932848486\ 1357211006444893347393856760404724647749172740918649427127792379178621868583900\ 5950206943663253606929313697365169761950097569988751139598248329648647618568921\ 4384726457494200155484955758287808605256339786815097855439405560638038840921597\ 4812842228545547582730318294295150044585636007938953269809705273481867427930444\ 2993172062605511412876891548947184388933733717294468013840281586425849199425531\ 23149313495925418308006174720913462040657] ---------------------------- (A,B)= , {1, 3, 4}, {2, 3, 4, 5} [P^2*x^11+4*P^2*x^10+5*P^2*x^9-2*P*x^10+2*P^2*x^8-6*P*x^9+3*P^2*x^7-4*P*x^8+x^9 +6*P^2*x^6+2*x^8-6*P*x^6-2*P^2*x^4-3*P*x^5+2*P^2*x^3+6*P*x^4+3*x^5-P^2*x^2-2*P* x^3-3*x^4-2*P^2*x+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^5+x^4+x-1)/((x^6+x^5)*C+x^5+x^4 +x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-251*n^2+2251*n-3528)*a(n-2) +(394*n^2-4424*n+10056)*a(n-3)+(3*n^2+873*n-4680)*a(n-4)+(-666*n^2+7596*n-20088 )*a(n-5)+(763*n^2-10451*n+35232)*a(n-6)+(-73*n^2+3503*n-21240)*a(n-7)+(-966*n^2 +10854*n-24960)*a(n-8)+(693*n^2-10743*n+37032)*a(n-9)+(283*n^2-2123*n-1212)*a(n -10)+(-366*n^2+270*n+39384)*a(n-11)+(129*n^2+87*n-30012)*a(n-12)+(211*n^2+3649* n-76536)*a(n-13)+(320*n^2-9724*n+80184)*a(n-14)+(-147*n^2+5175*n-44856)*a(n-15) +(-118*n^2+6620*n-72576)*a(n-16)+(809*n^2-28543*n+252900)*a(n-17)+(742*n^2-\ 28424*n+270096)*a(n-18)+(353*n^2-13735*n+132756)*a(n-19)+(742*n^2-27398*n+ 251688)*a(n-20)+(875*n^2-32869*n+306444)*a(n-21)+(418*n^2-16094*n+153384)*a(n-\ 22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5 ) = 4, a(6) = 8, a(7) = 16, a(8) = 32, a(9) = 66, a(10) = 142, a(11) = 322, a( 12) = 777, a(13) = 2010, a(14) = 5582, a(15) = 16544, a(16) = 51770, a(17) = 169004, a(18) = 569480, a(19) = 1964371, a(20) = 6894874, a(21) = 24522667, a( 22) = 88123200, a(23) = 319313702}, [0, 1, 1, 2, 4, 8, 16, 32, 66, 142, 322, 777, 2010, 5582, 16544, 51770, 169004, 569480, 1964371, 6894874, 24522667, 88123200, 319313702, 1164999228, 4275211000, 15767690683, 58410163782, 217221792615, 810656204816, 3034877063297, 11394402982566, 42892431916648, 161850871164015, 612086622162484, 2319540747041239, 8806802668470430, 33496882742408265, 127617136647645146, 486951557046455755, 1860770353352740671, 7120196970109124880, 27280278008651082207, 104648128204439133340, 401893528996478225192, 1545114917069628303372, 5946428962790966772623, 22907342356693699586911, 88327358289053005132477, 340877560776117981106121, 1316637375514049702845758], 109150858250529741395126924092603192417508105432033\ 8966259479861529542509688635352390358165582706476452706634814120991071670612828\ 3181340038133776274048227604000049921312926618805416519819405293017049016658703\ 4654256177337658157450283844647374298175838490519859598388489634932310140880133\ 5965655309435148850387331063018202884167920825321000053239512940417432813255876\ 1475533235630500204454040071499971344439857391055701974180330600187813137396017\ 1311958128626695634315277661764579133734827723963276768497335060189708576975180\ 3441310761776019355750446210498978748485722815758851696146703810454942] ---------------------------- (A,B)= , {1, 3, 4}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^7-3*P^2*x^5+P^2*x^4+3*P*x^5-2*P^2*x^2+2*P*x^2+P^2-\ 2*P+1, -1/(C*x^6+x^5+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-75*n^2+ 753*n-1236)*a(n-2)+(-110*n^2+958*n-1608)*a(n-3)+(221*n^2-2449*n+5664)*a(n-4)+( 109*n^2-1073*n+2424)*a(n-5)+(-326*n^2+3526*n-8808)*a(n-6)+(226*n^2-2282*n+4428) *a(n-7)+(266*n^2-2962*n+8016)*a(n-8)+(-447*n^2+5601*n-16884)*a(n-9)+(-91*n^2+ 1157*n-3636)*a(n-10)+(268*n^2-3692*n+13092)*a(n-11)+(-164*n^2+2182*n-7608)*a(n-\ 12)+(-146*n^2+1702*n-4584)*a(n-13)+(122*n^2-2272*n+10704)*a(n-14)+28*(n-6)*(2*n -19)*a(n-15)-6*(n-12)*(n-11)*a(n-16)+3*(n-12)*(7*n-89)*a(n-17)+6*(n-12)*(2*n-25 )*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 3, a(8) = 5, a(9) = 10, a(10) = 23, a(11) = 61, a(12) = 177, a(13) = 549, a( 14) = 1780, a(15) = 5950, a(16) = 20327, a(17) = 70591, a(18) = 248337}, [0, 1, 0, 1, 1, 2, 3, 5, 10, 23, 61, 177, 549, 1780, 5950, 20327, 70591, 248337, 882916, 3166934, 11445582, 41636709, 152335793, 560178050, 2069231305, 7674481205, 28567641653, 106693451368, 399679275505, 1501360038607, 5654054162176, 21342780210042, 80738690567045, 306044214341500, 1162244844744339, 4421477857031560, 16847846488898336, 64295988331440036, 245722776795687439, 940355657018758439, 3603216693469485025, 13823222176884410065, 53090955646026906271, 204125883447557880355, 785629614800718252938, 3026618063544186044764, 11670697347982069860271, 45041857932579778653743, 173979596528518870724260, 672552706937985305186446], 5755551661685204198915796944091121907765799510203300476937344030439036614129361\ 8174954062182580927650822276931059965037936856934740682954612494387678541681697\ 2877889831981033426205272620979712766506585546707276222987699944593328777605063\ 6640017635944983387147301348235582344899752155968213351939179577863399800632605\ 8224155440262414503624970713298611912588297352949235939161860698592172097980290\ 2026874004430809223186931988367342620639145115294572030555298260522018734610719\ 4601846045010763862418859301487705055577871318516031100775500742540945703422495\ 66540006849773429768155734083677159523209] ---------------------------- (A,B)= , {1, 3, 5}, {} [P^2*x^4+4*P^2*x^3-5*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, ((x^2 -x)*C-x^2-x+1)/((x^3+x^2-x)*C-2*x^2-x+1), {3*n*(n-3)*a(n)-(n-1)*(41*n-160)*a(n-\ 1)+(207*n^2-1401*n+1980)*a(n-2)+(-451*n^2+3975*n-7940)*a(n-3)+(284*n^2-3684*n+ 10480)*a(n-4)+(375*n^2-2925*n+4800)*a(n-5)+(-469*n^2+5607*n-16340)*a(n-6)+(-54* n^2+378*n-240)*a(n-7)+(99*n^2-1569*n+6240)*a(n-8)+10*(n-8)*(2*n-17)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 37, a(8) = 98, a(9) = 270}, [0, 1, 1, 3, 6, 15, 37, 98, 270, 779, 2337, 7263, 23265, 76464 , 256789, 878056, 3047947, 10714661, 38069815, 136497271, 493230012, 1794334815 , 6566208736, 24153329309, 89255685675, 331190450906, 1233451440396, 4609082396503, 17275176101662, 64927885164648, 244647425383540, 923980441097829 , 3497196823184601, 13263059384947299, 50393245004293950, 191801032156093815, 731189792517550758, 2791677380300259939, 10673720262179411869, 40864398970172392252, 156646101921420328606, 601185610122249779803, 2309850885953856158922, 8884230893482206878910, 34205222729674099322932, 131819508946989067512545, 508465231586169870523773, 1962990692539327700488721, 7584606673177600805346771, 29328468295774307256478996], 25479179081034066322305\ 1354590015648237454735861851120457318327267160091297862669962930677828860481323\ 4336475242719188484349332254807903727376044502650755822063826409746111657762652\ 9887812219682543086073013328103481991757040429841837170159164938272392091542464\ 4087281110798153552604821668816276525312520284447283831755732810148396082546613\ 9613873130167981267351125457923948660895700576625885871859797435866575798147332\ 5827798043905691526140925287307457994918431776680987602564437823801043907756529\ 6215201410121590709331940966041545884348063997230889745997757067831321653961695\ 76994255312191047352] ---------------------------- (A,B)= , {1, 3, 5}, {1} [P^2*x^4+2*P^2*x^3-2*P^2*x^2-3*P*x^3-P^2*x+2*P*x^2+x^3+P^2+2*P*x-2*P-x+1, (-C*x -x^2+1)/((x^3-x)*C-2*x^2+1), {3*n*(n-3)*a(n)-(n-1)*(31*n-128)*a(n-1)+(95*n^2-\ 693*n+1012)*a(n-2)+(-41*n^2+549*n-1348)*a(n-3)+(-196*n^2+1476*n-2552)*a(n-4)+( 217*n^2-2151*n+5144)*a(n-5)+(55*n^2-489*n+1124)*a(n-6)+(-108*n^2+1440*n-4848)*a (n-7)+(-3*n^2-27*n+384)*a(n-8)+6*(n-8)*(2*n-17)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 6, a(7) = 9, a(8) = 31, a(9) = 78}, [0, 1, 0, 2, 1, 6, 9, 31, 78, 248, 762, 2501, 8313, 28339, 97987, 343550, 1217433, 4354660, 15699284, 56987858, 208104463, 763965651, 2817762767, 10436617705, 38802374494, 144758682359, 541732046820, 2033112192169, 7650202948049, 28855557628540, 109081558009484, 413207106928657, 1568251121393864, 5962633163695974, 22708275673843813, 86617897528567574, 330877061839712498, 1265677714535194810, 4847773262390942107, 18590555056113792649, 71374673414607317109, 274328422074524524783, 1055474257259096431986, 4064918241799309163505, 15669753830391743794822, 60458743289302088692317, 233466419414313213183665, 902279599683331286903190, 3489743052180209865344784, 13507239380962117314137837], 12190962316847560826710779900143379096932836699402\ 4525033471254916013074022352598675232500567862028708725496417231096942277933459\ 1972859960930164045493032764839634435496740055738850157423833250394325688819770\ 1886017685033154680132635569294770724765577303469548208872893537240712098180027\ 4414295040955765487409668581104530054719679976169450302669523837185560477857921\ 9505264059949794300511168042294909387073195732018642602650464443558304418810594\ 8179718377477899583105453837862039116715103072358053861204073217222132932014992\ 846863357469217658970807014620371957644286643221643483306266126425693201] ---------------------------- (A,B)= , {1, 3, 5}, {2} [P^2*x^7+2*P^2*x^6+2*P^2*x^5-2*P*x^6+3*P^2*x^4-2*P*x^5+2*P^2*x^3-2*P*x^4+x^5-2* P^2*x^2-3*P*x^3-2*P^2*x+2*P*x^2+x^3+P^2+4*P*x-2*P-2*x+1, ((x^2-x)*C-x^3-x+1)/(( x^3+x^2-x)*C-x^4-x^3-x^2-x+1), {-3*n*(n-3)*a(n)+36*(n-1)*(n-4)*a(n-1)-(145*n-\ 292)*(n-5)*a(n-2)+(186*n^2-1806*n+3816)*a(n-3)+(121*n^2-651*n+416)*a(n-4)+(-310 *n^2+3438*n-9128)*a(n-5)+(-106*n^2+678*n-464)*a(n-6)+(181*n^2-2523*n+8768)*a(n-\ 7)+(82*n^2-1902*n+9920)*a(n-8)+(-33*n^2+1509*n-12060)*a(n-9)+(9*n^2+1203*n-\ 11436)*a(n-10)+(76*n^2-1860*n+11696)*a(n-11)+(102*n^2-2730*n+17808)*a(n-12)+3*( n-12)*(27*n-355)*a(n-13)+(82*n^2-2070*n+12992)*a(n-14)+20*(2*n-23)*(n-14)*a(n-\ 15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 33 , a(8) = 83, a(9) = 219, a(10) = 609, a(11) = 1777, a(12) = 5415, a(13) = 17125 , a(14) = 55858, a(15) = 186852}, [0, 1, 1, 3, 6, 14, 33, 83, 219, 609, 1777, 5415, 17125, 55858, 186852, 637946, 2214412, 7791021, 27717882, 99530269, 360210360, 1312419563, 4809660040, 17716035881, 65549901333, 243510660159, 907874894637, 3395822977041, 12739307309086, 47919990340187, 180701038417692, 682955604705898, 2586646693887401, 9815850915956066, 37316902515973384, 142107430174189758, 542017920602407692, 2070393480287506408, 7919454777966436962, 30332284617083209273, 116318777876042516592, 446580330172393591698, 1716433724026828269580, 6603999026634490875941, 25434093226717234893012, 98046784400272840294200, 378301804733002080048649, 1460874767439934105120743, 5645987704110928026442328, 21837517073737344692385078], 19164207621679781399235130659018908565846332163786\ 9256108986911849524525628941794064651570657065012650604914789969006039112350507\ 6117337707756278911068892756751004311601838326804340936665423719701013600516572\ 5881087842490942677526301337450671021645587943857526103084994054669082497259056\ 8148627108807409939842039096717678144830679748463252843338002683172051358020169\ 6586179486869170800607427679452095655604654522688619222698058295431807227225988\ 7473313862232350310650073633150765361187373725250788947411664079440507866135672\ 768448151069345064347165577445440526358508395568062615717187959099330601] ---------------------------- (A,B)= , {1, 3, 5}, {3} [P^2*x^5+6*P^2*x^4+7*P^2*x^3-4*P*x^4-5*P^2*x^2-11*P*x^3-4*P^2*x+6*P*x^2+4*x^3+2 *P^2+8*P*x-x^2-4*P-4*x+2, ((x^2-x)*C-2*x^2+1)/((x^3+x^2-x)*C-x^3-3*x^2+1), {-12 *n*(n-3)*a(n)+144*(n-1)*(n-4)*a(n-1)+(-572*n^2+4032*n-5800)*a(n-2)+(642*n^2-\ 6582*n+14256)*a(n-3)+(939*n^2-6207*n+8772)*a(n-4)+(-2015*n^2+21183*n-54124)*a(n -5)+(-285*n^2+279*n+7368)*a(n-6)+(1410*n^2-18186*n+57852)*a(n-7)+(168*n^2-270*n -7584)*a(n-8)+(-139*n^2+2229*n-8528)*a(n-9)+(40*n^2-942*n+5264)*a(n-10)+8*(2*n-\ 19)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 12, a(7) = 25, a(8) = 60, a(9) = 145, a(10) = 380, a(11) = 1046}, [0, 1, 1, 3 , 5, 12, 25, 60, 145, 380, 1046, 3057, 9365, 29897, 98572, 333421, 1150459, 4032315, 14310562, 51304591, 185476792, 675275270, 2473360203, 9106730965, 33684449831, 125101683978, 466313022737, 1743879881676, 6541052912022, 24601239207881, 92756816657753, 350532225861915, 1327478165789409, 5037057044897968, 19147693663789011, 72910913712169488, 278071726522490986, 1062100920359420927, 4062374096972310725, 15558342056976279093, 59659997661012675234, 229039133894226803089, 880268577855459574994, 3386682306551772856160, 13042599220919823740755, 50276231741164006342167, 193976987763725550743485, 749045336195057032437788, 2894804118927942598513219, 11196116482103123114644992], 98120085325338950402771702954502885918748874005580\ 8408367295109970682758328915985460823542329907457444539646270838119704396583837\ 2528272448384360469427560073894567392271022361933324628741399404230604862315104\ 1552539431565939590035845474802604807721050836096370966229255457840501297231041\ 3345276390855315548931976552900201329907994160382140112875446618918032968650920\ 1682307840920562677594349493708173172976778925723147602072248254337975194244352\ 3528588264663551607661626999204705777904336247870052058347665329211637725915777\ 45174345700087763302459259187984100608499360037376761411115599473661419] ---------------------------- (A,B)= , {1, 3, 5}, {4} [P^2*x^8-2*P^2*x^7+2*P^2*x^6+3*P^2*x^5+2*P*x^6-9*P^2*x^4-6*P*x^5+4*P^2*x^3+9*P* x^4+6*P^2*x^2+x^4-5*P^2*x-14*P*x^2-4*x^3+P^2+10*P*x+8*x^2-2*P-5*x+1, (-C*x^2+x^ 2-2*x+1)/((x^4-x^2)*C-x^4+x^3-2*x+1), {4*n*(n-4)*a(n)-3*(n-1)*(23*n-110)*a(n-1) +(485*n^2-3653*n+5382)*a(n-2)+(-1764*n^2+16434*n-33660)*a(n-3)+(3374*n^2-38282* n+100452)*a(n-4)+(-2513*n^2+38063*n-131082)*a(n-5)+(-2073*n^2+14205*n-5238)*a(n -6)+(5394*n^2-65784*n+190536)*a(n-7)+(-3062*n^2+42578*n-135756)*a(n-8)+(-919*n^ 2+12493*n-55134)*a(n-9)+(1742*n^2-23024*n+77832)*a(n-10)+(-564*n^2+2952*n+19680 )*a(n-11)+(-94*n^2+5230*n-43740)*a(n-12)+(34*n^2-850*n+5580)*a(n-13)+(108*n^2-\ 2760*n+17520)*a(n-14)+(-86*n^2+2174*n-13740)*a(n-15)+12*(2*n-25)*(n-14)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 37, a( 8) = 97, a(9) = 262, a(10) = 734, a(11) = 2123, a(12) = 6333, a(13) = 19438, a( 14) = 61247, a(15) = 197609, a(16) = 651184}, [0, 1, 1, 3, 6, 15, 37, 97, 262, 734, 2123, 6333, 19438, 61247, 197609, 651184, 2186193, 7460080, 25819353, 90464236, 320352435, 1144957881, 4125182861, 14967541576, 54643774078, 200585970288, 739885780663, 2740990249398, 10193807368763, 38044011361274, 142434341135590, 534808361919855, 2013395721266844, 7598245172161517, 28738736103736500, 108922793475510436, 413619796882259946, 1573464636888257541, 5995611551752731430, 22881460670517048605, 87451089294305669169, 334687396547468699501, 1282540444388640564198, 4920716556117051485227, 18900875078350620020745, 72678321007304011465702, 279751585194908604229093, 1077859452419112522494153, 4156737155341719410653900, 16044431799702215527229454], 12988804552962506633405451465216484535977808482512\ 1553955126029202857729763777749145019348920352204216662006497884020126041228805\ 7149542132619260983585005526766381614324492965084107752193968237171533220117734\ 7716115330770972208932683563877614970206319778556949191632294478532576867362842\ 0556084510217277817405442457462418239642322453005433577207399379243323800529916\ 0942242025700253516995996139005407120410227281446659345166478962488327999040657\ 8198067828751493151096624792306422261032545913929032216780554681459867628747049\ 123089141162770916790505377309088539141169223825147623908168111303692073] ---------------------------- (A,B)= , {1, 3, 5}, {5} [P^2*x^7+4*P^2*x^6-3*P^2*x^5-2*P*x^6-9*P^2*x^4-P*x^5+7*P^2*x^3+12*P*x^4+x^5+5*P ^2*x^2-6*P*x^3-2*x^4-5*P^2*x-12*P*x^2-x^3+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^3-x^2 )*C-2*x+1)/((x^4+x^3-x^2)*C+x^3-x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168) *a(n-1)+(-611*n^2+5239*n-8064)*a(n-2)+(2165*n^2-22567*n+48672)*a(n-3)+(-3727*n^ 2+47117*n-131544)*a(n-4)+(1275*n^2-26589*n+109080)*a(n-5)+(5514*n^2-67944*n+ 196752)*a(n-6)+(-7091*n^2+110683*n-417720)*a(n-7)+(-560*n^2-1352*n+43200)*a(n-8 )+(5144*n^2-85966*n+357552)*a(n-9)+(-1398*n^2+29166*n-149856)*a(n-10)+(-1288*n^ 2+23414*n-104040)*a(n-11)+(362*n^2-7948*n+42600)*a(n-12)+(82*n^2-1490*n+6144)*a (n-13)+(22*n^2-632*n+4512)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2 ) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 15, a(7) = 36, a(8) = 91, a(9) = 233, a(10) = 612, a(11) = 1642, a(12) = 4512, a(13) = 12706, a(14) = 36713, a( 15) = 108904}, [0, 1, 1, 3, 6, 15, 36, 91, 233, 612, 1642, 4512, 12706, 36713, 108904, 331662, 1036295, 3317694, 10863200, 36300017, 123504384, 426869684, 1495616211, 5301823329, 18983880005, 68561367363, 249451777905, 913419731789, 3363320867033, 12444548414964, 46243658778469, 172495562390805, 645625008592617 , 2423877338940851, 9125194802708095, 34440248284105968, 130283454654607445, 493889278278502739, 1875926900187411939, 7138144653712746625, 27207096494778467197, 103862036970408387798, 397067929996401798914, 1520078894469732823642, 5826726640838888503597, 22361841380850430409531, 85918170980653492636403, 330468250020887924359552, 1272379627434307676829573, 4903689178637816213086412], 375738536732630804875144287282430058187933717825817\ 0493261973554152430386639330406633473963171441474810691039376444767344538606656\ 3567008029515479841106642283659421878288897946925428645211505415082008754125745\ 6890401895167369142589359742210220746375906004472833932052158616951340350027352\ 5641948340956206004734333406616750921925483493191359612448318241417037524999855\ 6557454708043378659838631036644200237881839804624983974134867696938024184618873\ 5721458732142679690827456497118000031257581381218321442551680851436930240216661\ 8871010398497246708857653978714788197976431439898356668825561010549493] ---------------------------- (A,B)= , {1, 3, 5}, {1, 2} [P^2*x^7+P^2*x^5+P^2*x^4-P^2*x^3-2*P^2*x^2+P*x^3+2*P*x^2+P^2-2*P+1, (-C*x+1)/(( x^3-x)*C-x^4-x^2+1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)+(-49*n^2+393*n-\ 596)*a(n-2)+(-59*n^2+381*n-544)*a(n-3)+(104*n^2-984*n+2104)*a(n-4)+6*(17*n-54)* (n-5)*a(n-5)+(-65*n^2+777*n-2212)*a(n-6)+(-99*n^2+975*n-2484)*a(n-7)+(35*n^2-\ 267*n+544)*a(n-8)+(-28*n^2+36*n+700)*a(n-9)+(-6*n^2+48*n-48)*a(n-10)+(23*n^2-\ 309*n+1024)*a(n-11)+2*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 5, a(7) = 7, a(8) = 23, a(9) = 57, a(10) = 179, a(11 ) = 552, a(12) = 1814}, [0, 1, 0, 2, 1, 5, 7, 23, 57, 179, 552, 1814, 6060, 20733, 71966, 253115, 899512, 3225291, 11652471, 42376623, 155001663, 569847648 , 2104512262, 7803888773, 29044535615, 108458351666, 406235837120, 1525801983573, 5745458155322, 21685585476875, 82027771132662, 310903498503124, 1180603625903006, 4490983990761897, 17111507630942935, 65297959756683890, 249536936955007872, 954897853906243914, 3658743933453792940, 14035540959614419361, 53903864164733118499, 207242142341197138341, 797589701271939736005, 3072571369293596283828, 11847445833544720962597, 45722357601324192213121, 176602074856895638576015, 682668215694459529338547, 2640917102047184028234105, 10223899824642847234387706], 93074863379851865357324\ 9389821254860656743159906910096269988997664669843181618319817107623412844029022\ 2763371031874748827537270284065459195126485484369359522998908245229151435881480\ 4666070132142268905127428297945782516389335286482103183657357693017975519521864\ 7139544952574582838071421108721060286047270693377261841170350328905599654749202\ 2981614475090628860613478296923240625703919780301852668096810915012905353216098\ 3271731067764970842523668172181158662528987163347833350645691340316624376451255\ 3171013535740716279587200640649741278704019278007580602881876793394087826498503\ 3976692554836776633] ---------------------------- (A,B)= , {1, 3, 5}, {1, 3} [P^2*x^5+4*P^2*x^4-2*P*x^4-6*P^2*x^2-P*x^3+8*P*x^2+x^3+2*P^2-2*x^2-4*P+2, (-C*x -x^2+x+1)/((x^3-x)*C-x^3-2*x^2+x+1), {-6*n*(n-3)*a(n)+4*(n-1)*(13*n-56)*a(n-1)+ (-90*n^2+750*n-1152)*a(n-2)+(-196*n^2+1284*n-1952)*a(n-3)+(410*n^2-3702*n+7888) *a(n-4)+(211*n^2-1743*n+3584)*a(n-5)+(-476*n^2+5292*n-14728)*a(n-6)+(-104*n^2+ 810*n-1024)*a(n-7)+(152*n^2-1956*n+5944)*a(n-8)+(29*n^2-327*n+808)*a(n-9)+(11*n ^2-228*n+1168)*a(n-10)+2*(2*n-19)*(n-10)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 0, a(6) = 5, a(7) = 2, a(8) = 18, a(9) = 26, a(10) = 110, a(11) = 286}, [0, 1, 0, 2, 0, 5, 2, 18, 26, 110, 286, 1008, 3228, 11189, 38450, 135414, 479840, 1719470, 6204448, 22547192, 82408352, 302782066, 1117588020, 4142209800, 15409807270, 57521142912, 215372661562, 808672288788, 3044200465972 , 11486946212981, 43439870961338, 164609783605766, 624947984133360, 2376826609204502, 9054538756984368, 34546572763445404, 131999480617005056, 505045612154725910, 1934843698486094812, 7421415614489021484, 28498661010153422804, 109555087272352460804, 421586458692398616028, 1623918529877082346448, 6261010642068593558744, 24160611040533687385954, 93311821067727483044124, 360673262628999044700972, 1395160409692730757468520, 5400732416251482157574796], 490119428666677388297191197040556775756099066125376\ 4962139885073600118181759842421617410348585731121573301565465077420779752752700\ 2248391297466511891727311102457040417395204574509789932568740906760331853210867\ 0443244992972211373663972196771618474929626977677594504901803543007597534308616\ 5263228328619844906387229905265976622734428483429931710200357542763339190282678\ 6039937586190119991825793052901457619399183029783025071143041762218831310136488\ 4720819532263669653739306634336701638800919533610227087898663931162647938454404\ 1894272059651201330966873397589915654415260766359423270189922604966464] ---------------------------- (A,B)= , {1, 3, 5}, {1, 4} [P^2*x^8-4*P^2*x^7+7*P^2*x^6+2*P*x^7-5*P^2*x^5-4*P*x^6-5*P^2*x^4+2*P*x^5+x^6+10 *P^2*x^3+7*P*x^4-P^2*x^2-14*P*x^3-x^4-3*P^2*x+4*x^3+P^2+6*P*x+x^2-2*P-3*x+1, (( -x^3-x^2)*C+x^3-x+1)/((x^4-x^3-x^2)*C-x^4+2*x^3-x^2-x+1), {4*n*(n-4)*a(n)-5*(n-\ 1)*(11*n-54)*a(n-1)+(275*n^2-2153*n+3222)*a(n-2)+(-528*n^2+5418*n-11712)*a(n-3) +(-187*n^2-257*n+5010)*a(n-4)+(2242*n^2-22852*n+56052)*a(n-5)+(-2613*n^2+32589* n-98598)*a(n-6)+(-985*n^2+10057*n-27006)*a(n-7)+(3992*n^2-52106*n+171948)*a(n-8 )+(-2469*n^2+30615*n-90522)*a(n-9)+(-46*n^2+2644*n-11736)*a(n-10)+(606*n^2-3480 *n-34416)*a(n-11)+(-485*n^2+2507*n+33762)*a(n-12)+(751*n^2-16267*n+88062)*a(n-\ 13)+(-884*n^2+23534*n-156708)*a(n-14)+(599*n^2-16679*n+115782)*a(n-15)+(-230*n^ 2+6590*n-46980)*a(n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3 ) = 0, a(4) = 2, a(5) = 1, a(6) = 6, a(7) = 9, a(8) = 30, a(9) = 72, a(10) = 218, a(11) = 634, a(12) = 1984, a(13) = 6306, a(14) = 20694, a(15) = 69211, a( 16) = 235875, a(17) = 815720}, [0, 1, 0, 2, 1, 6, 9, 30, 72, 218, 634, 1984, 6306, 20694, 69211, 235875, 815720, 2857255, 10115860, 36146292, 130189824, 472171854, 1722910990, 6320606754, 23298615992, 86250002381, 320523673995, 1195291476842, 4471596462427, 16776708842318, 63110498879075, 237987991366009, 899467811676194, 3406598985134639, 12926966861115674, 49142204074648690, 187129794872727887, 713698133825084805, 2726006593767329334, 10426565006345313313, 39932116815250810244, 153122099322472043756, 587838884429510964354, 2259209304227676517226, 8691751871856349111072, 33472470121024953650262, 129025759459043662141598, 497798397134961091654307, 1922208859216562282445731, 7428490112544667740828988], 629009986725637774462120\ 4987076678644811378612326028515822063557948224725752814904470895119618977895890\ 9599309216098849460507688508060729213511786276384511128855229902783027002947905\ 0433471030744634754932010956170608201725169348392627660866415571837628688710059\ 5401012981396705434821448922057651127705626000078116417422367997238882561514937\ 5704355151395914831487662994798099361980128624528273135547874148660884851214356\ 1645375577490002726378588606439914930113945099968335751036495222347505714536446\ 1085882787028659249007464074963488616754247109639535492415461588408674511373101\ 906571529381025040] ---------------------------- (A,B)= , {1, 3, 5}, {1, 5} [P^2*x^7+2*P^2*x^6-8*P^2*x^5+5*P*x^5+10*P^2*x^3-2*P^2*x^2-14*P*x^3+x^4-3*P^2*x+ 2*P*x^2+4*x^3+P^2+6*P*x-2*P-3*x+1, (-C*x^2-x^2-x+1)/((x^4-x^2)*C+x^3-2*x^2-x+1) , {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)+(-339*n^2+3009*n-4692)*a(n-2)+(579 *n^2-6663*n+15180)*a(n-3)+(568*n^2-4178*n+5664)*a(n-4)+(-3008*n^2+36604*n-\ 103656)*a(n-5)+(1789*n^2-27887*n+99708)*a(n-6)+(4014*n^2-56058*n+194820)*a(n-7) +(-4578*n^2+73608*n-294144)*a(n-8)+(-1381*n^2+23075*n-96276)*a(n-9)+(2980*n^2-\ 54350*n+246600)*a(n-10)+(-338*n^2+6514*n-30336)*a(n-11)+(-450*n^2+9330*n-48840) *a(n-12)+5*(n-12)*(7*n-89)*a(n-13)+10*(n-12)*(2*n-25)*a(n-14) = 0, a(1) = 0, a( 2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 6, a(7) = 8, a(8) = 26, a(9) = 54, a(10) = 152, a(11) = 390, a(12) = 1117, a(13) = 3226, a(14) = 9814}, [0, 1, 0, 2, 1, 6, 8, 26, 54, 152, 390, 1117, 3226, 9814, 30668, 98930, 326776, 1102704, 3786207, 13193199, 46540106, 165887996, 596526150, 2161349554, 7882354666, 28910770269, 106570622176, 394586317148, 1466783962892, 5471862060606, 20478597440840, 76865890969168, 289284436621691, 1091385597592033, 4126755715221085, 15636598748165331, 59362585809055800, 225767527761929762, 860073547851014400, 3281615873226038411, 12539352825625436120, 47979853863939589327, 183824691287160159640, 705143806861587197650, 2708014648612006168076, 10411103206274783809686, 40067297948457429726695, 154350482153450015740283, 595154010718056857910672, 2296860141453378715823340], 1845508449338930449326875265785359809078590936438063988221647367630914230614513\ 5362452410960768048136126657161506116701072834411914969501615762167859344575770\ 8845393154558877057181061426899198731245323024164288341004979616232136015392312\ 5413113011413090330896488516453459094862912378056692832864852270425328070455717\ 6766811823010706894708822139368819533822669691269767829934474380704177802164407\ 6456113430241763878581328756460845123658489505919289348404883978402104517656163\ 1476589452262842677014164606644166934346670689142476691645316063423066786980362\ 627156832505943568940570587123300032568503] ---------------------------- (A,B)= , {1, 3, 5}, {2, 3} [P^2*x^7+4*P^2*x^6+7*P^2*x^5-2*P*x^6+6*P^2*x^4-6*P*x^5+P^2*x^3-6*P*x^4+x^5-5*P^ 2*x^2-P*x^3+2*x^4-3*P^2*x+6*P*x^2+2*P^2+6*P*x-x^2-4*P-3*x+2, ((x^2-x)*C-x^3-x^2 +1)/((x^3+x^2-x)*C-x^4-2*x^3-2*x^2+1), {-12*n*(n-3)*a(n)+2*(n-1)*(67*n-272)*a(n -1)+(-470*n^2+3372*n-4888)*a(n-2)+(373*n^2-4047*n+9068)*a(n-3)+(719*n^2-5829*n+ 10900)*a(n-4)+(-567*n^2+7731*n-23772)*a(n-5)+(-868*n^2+9546*n-25448)*a(n-6)+(-\ 74*n^2-3414*n+25880)*a(n-7)+(481*n^2-7899*n+29444)*a(n-8)+(248*n^2+876*n-27416) *a(n-9)+(42*n^2+2682*n-27360)*a(n-10)+(247*n^2-5451*n+31172)*a(n-11)+(514*n^2-\ 12366*n+74192)*a(n-12)+(465*n^2-11265*n+68100)*a(n-13)+(210*n^2-5190*n+31920)*a (n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 11, a(7) = 23, a(8) = 52, a(9) = 123, a(10) = 312, a(11) = 845 , a(12) = 2440, a(13) = 7445, a(14) = 23761, a(15) = 78528}, [0, 1, 1, 3, 5, 11 , 23, 52, 123, 312, 845, 2440, 7445, 23761, 78528, 266515, 922941, 3246012, 11555678, 41540274, 150528433, 549144222, 2014891658, 7429974846, 27519042193, 102324195827, 381810211871, 1429202761938, 5365274381430, 20194533276453, 76194841552471, 288127582264191, 1091789503632193, 4144987670584508, 15764498952169776, 60056218895454094, 229144845095870466, 875577007621450611, 3350213665675824078, 12835409514837712547, 49235029301784942359, 189076159632470242027, 726893315487394745508, 2797378675987451948191, 10775955281659929537600, 41549250903350877422273, 160344480555188271009054, 619312897780743911435399, 2393947833724308247547959, 9260874310321733722511514] , 81828575257712805907000081347652100334343552374095016180354673440736054251981\ 1683991992730151170757162080269421275579398587708962774652634957606164296340889\ 8294989889921108491194362075797769962153508493485337770424008429513433764819878\ 9376315793433070311572448572358124925670160439431571620676609824306510039310105\ 0952325879690430663290398234024425590690781607753447233995420040040445215288683\ 6190707787122242484153815987441025562697528821240850218599979157486482317599823\ 3892587254735060385131570057413957378339625560972361107617975243095733226385638\ 63183454264471341967851000566522531862086691] ---------------------------- (A,B)= , {1, 3, 5}, {2, 4} [P^2*x^10-2*P^2*x^9-2*P*x^9+4*P^2*x^7+6*P*x^8-6*P^2*x^6-8*P*x^7+x^8+7*P^2*x^5+4 *P*x^6-4*x^7+2*P^2*x^4+4*P*x^5+9*x^6-8*P^2*x^3-19*P*x^4-14*x^5+9*P^2*x^2+24*P*x ^3+18*x^4-5*P^2*x-20*P*x^2-16*x^3+P^2+10*P*x+11*x^2-2*P-5*x+1, ((x^4-x^3+x^2)*C -x^4+2*x^3-2*x^2+2*x-1)/((x^5-x^3+x^2)*C-x^5+x^4+x^3-x^2+2*x-1), {-4*n*(n-4)*a( n)+3*(n-1)*(23*n-110)*a(n-1)+(-503*n^2+3761*n-5526)*a(n-2)+(2055*n^2-18705*n+ 37854)*a(n-3)+(-5278*n^2+56410*n-142500)*a(n-4)+(8999*n^2-110669*n+331902)*a(n-\ 5)+(-10126*n^2+143524*n-500808)*a(n-6)+(6349*n^2-112081*n+471702)*a(n-7)+(472*n ^2+25166*n-218676)*a(n-8)+(-4987*n^2+40297*n+26346)*a(n-9)+(3900*n^2-16884*n-\ 228624)*a(n-10)+(736*n^2-69538*n+725628)*a(n-11)+(-3920*n^2+121220*n-972048)*a( n-12)+(2866*n^2-75682*n+577788)*a(n-13)+(651*n^2-27285*n+205902)*a(n-14)+(-2979 *n^2+95349*n-739110)*a(n-15)+(2644*n^2-86002*n+690060)*a(n-16)+(-936*n^2+33624* n-293088)*a(n-17)+(-370*n^2+8962*n-49356)*a(n-18)+(667*n^2-21037*n+164142)*a(n-\ 19)+(-350*n^2+11834*n-98748)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 33, a(8) = 82, a(9) = 211, a(10) = 566, a(11) = 1581, a(12) = 4594, a(13) = 13850, a(14) = 43174, a( 15) = 138604, a(16) = 456389, a(17) = 1535408, a(18) = 5259553, a(19) = 18290864, a(20) = 64419686, a(21) = 229315744}, [0, 1, 1, 3, 6, 14, 33, 82, 211 , 566, 1581, 4594, 13850, 43174, 138604, 456389, 1535408, 5259553, 18290864, 64419686, 229315744, 823713310, 2981781833, 10866052817, 39827966344, 146729210310, 543002983212, 2017587128266, 7523634706085, 28147268859523, 105615493300208, 397364683437841, 1498729552185678, 5665574093095831, 21462271686963730, 81461354584780278, 309750569530242899, 1179787461054363653, 4500685185784382550, 17194651829671150828, 65782260377060700692, 251993411455521281436, 966500399126963040571, 3711227628779238138302, 14266208223820337667013, 54897154809211045161507, 211455161074664218904127, 815253252044757922790570, 3145957076136814606930451, 12150123221815741126949840 ], 1005330486474312158931891870601738661914157854848948694168858091671189558079\ 0827769854990697373431173360153255729412818797171746889032618011369346277180284\ 4062294418835621323764888278158172357885039735160362769664104848969989221935739\ 6464163298810462047703266614157069741568682230425182989436095285035753520829967\ 4855295722650193640710626128389478314645315643292752187364108412800281852332433\ 3496242053283325768987142555594851137475552588776212240322069430788787555000581\ 9888362778299772271763735885293911482981468297057112059740136529113609638568715\ 8610970274012263113222787130642242528590179147] ---------------------------- (A,B)= , {1, 3, 5}, {2, 5} [P^2*x^8+P^2*x^6-2*P*x^7+4*P^2*x^5+2*P*x^6-6*P^2*x^4-5*P*x^5+x^6+2*P*x^4-2*x^5+ 7*P^2*x^2+8*P*x^3+5*x^4-5*P^2*x-16*P*x^2-8*x^3+P^2+10*P*x+9*x^2-2*P-5*x+1, ((x^ 3-x^2)*C-x^3+x^2-2*x+1)/((x^4+x^3-x^2)*C-x^4-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*( 29*n-168)*a(n-1)+(-627*n^2+5355*n-8232)*a(n-2)+(2420*n^2-24892*n+53352)*a(n-3)-\ 3*(1781*n-7353)*(n-8)*a(n-4)+(6385*n^2-92045*n+309168)*a(n-5)+(-2420*n^2+51004* n-234120)*a(n-6)+(-3624*n^2+39180*n-80568)*a(n-7)+(5365*n^2-80345*n+287736)*a(n -8)+(-2288*n^2+39376*n-159096)*a(n-9)+(-643*n^2+11495*n-63336)*a(n-10)+(1078*n^ 2-19430*n+96264)*a(n-11)+(-407*n^2+4963*n-8160)*a(n-12)+(-94*n^2+4370*n-39720)* a(n-13)+(102*n^2-2922*n+21288)*a(n-14)+(12*n^2-444*n+3840)*a(n-15)+(-22*n^2+614 *n-4272)*a(n-16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 32, a(8) = 76, a(9) = 184, a(10) = 458, a (11) = 1173, a(12) = 3102, a(13) = 8490, a(14) = 24088, a(15) = 70862, a(16) = 215876, a(17) = 679307}, [0, 1, 1, 3, 6, 14, 32, 76, 184, 458, 1173, 3102, 8490 , 24088, 70862, 215876, 679307, 2200423, 7309023, 24801212, 85670730, 300348182 , 1065992867, 3822320642, 13823747533, 50359018128, 184596709650, 680297787984, 2518873125053, 9364921706513, 34945697503634, 130830607195265, 491260331508090, 1849618739856709, 6981024623739332, 26407934075454558, 100103909039963168, 380190547132888248, 1446522969550939606, 5512768116584929104, 21041984723958082894, 80432815283378529783, 307872278368918193165, 1179949465988045432138, 4527720962086593487099, 17393621584933862549119, 66890993683087542487280, 257506309331857754913088, 992265683728235831733163, 3827074836291156944746636], 300840638376655463518317930108720957643164857467892\ 6845676833522037963703466769493870055671849078025086205843448273726001530756794\ 7833996910038367822504995120885272576571773858874888339593182308407396881684463\ 2825340356771598989896394406559634017683722885452695617031160423288724797227273\ 8728161599299945533993351710182765080977233702989399178027909130556449337786463\ 1297084571990362019792244014058324590757895916744664487814469735981417275956513\ 3931807202716226607950451030489286386845627427836298907648152732762930929522218\ 2016717437944681693900771473451051633425141875819653782992569335743550] ---------------------------- (A,B)= , {1, 3, 5}, {3, 4} [P^2*x^6-4*P^2*x^5-2*P*x^6+4*P^2*x^4+6*P*x^5+x^6+7*P^2*x^3-3*P*x^4-2*x^5-4*P^2* x^2-12*P*x^3-2*P^2*x+6*P*x^2+5*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3-x^3+x^2+x-\ 1)/(C*x^3-x^3+2*x^2+x-1), {-2*n*(n-4)*a(n)+24*(n-1)*(n-5)*a(n-1)+(-91*n^2+742*n -1128)*a(n-2)+(50*n^2-740*n+1860)*a(n-3)+(406*n^2-3724*n+8088)*a(n-4)+(-681*n^2 +8094*n-23112)*a(n-5)+(-348*n^2+3408*n-7956)*a(n-6)+(1251*n^2-17025*n+57954)*a( n-7)+(-273*n^2+4230*n-16632)*a(n-8)+(-542*n^2+8312*n-30780)*a(n-9)+(213*n^2-\ 2295*n+1542)*a(n-10)+(-80*n^2+1190*n-3372)*a(n-11)+(128*n^2-3164*n+19560)*a(n-\ 12)+(-67*n^2+1723*n-11070)*a(n-13)+6*(n-14)*(2*n-25)*a(n-14) = 0, a(1) = 0, a(2 ) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 12, a(7) = 25, a(8) = 59, a(9) = 139, a(10) = 350, a(11) = 918, a(12) = 2544, a(13) = 7395, a(14) = 22499}, [0, 1, 1, 3, 5, 12, 25, 59, 139, 350, 918, 2544, 7395, 22499, 71155, 232473, 779763 , 2671273, 9306708, 32867241, 117359758, 422887801, 1535461144, 5611304971, 20621083555, 76150446593, 282421003119, 1051429558266, 3927819574701, 14718628004962, 55310177163359, 208381495572482, 786933274445167, 2978248844408807, 11294252803474923, 42910600201054360, 163315017289540862, 622575152395790771, 2376929265581385603, 9087795876191722963, 34792169212641485502, 133367870254975852003, 511842977544150366483, 1966571581754852402643, 7563872601566586980258, 29121658678935899950760, 112228544005389285419869, 432897811433543629445029, 1671257260672298705325311, 6457426097227062899460724], 543539668410415892024981493946887162602812572896388\ 4904201244950978880335902843599458220929690091951970917940827756556631792099330\ 6695752596751452522817324707853214900463579962898919273227582360287273927105607\ 7867260079748846922226363110303371940271802334466738627201867383541304130091224\ 9534450966265312922528401356722362759837938802650198418460004015843043746145669\ 8768389833911081111432854856113856500662907574407911500164036111322262313689377\ 7605381931986882926990594425293839057080204051341435298622692419094760953239245\ 8082032802174200265035192808125186514768748203420842730588169081883624] ---------------------------- (A,B)= , {1, 3, 5}, {3, 5} [P^2*x^7+2*P^2*x^6-3*P^2*x^5-2*P*x^6-P^2*x^4+P*x^5+7*P^2*x^3+4*P*x^4+x^5-P^2*x^ 2-10*P*x^3-2*x^4-3*P^2*x+3*x^3+P^2+6*P*x+x^2-2*P-3*x+1, ((x^3-x^2)*C-x^2-x+1)/( (x^4+x^3-x^2)*C-2*x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)+(-347*n^ 2+3067*n-4776)*a(n-2)+(687*n^2-7641*n+17112)*a(n-3)+(47*n^2+1451*n-8160)*a(n-4) +(-2071*n^2+24689*n-68880)*a(n-5)+(2076*n^2-30342*n+105888)*a(n-6)+(1185*n^2-\ 15345*n+48552)*a(n-7)+(-2610*n^2+41826*n-167016)*a(n-8)+(480*n^2-9426*n+45216)* a(n-9)+(980*n^2-16216*n+65544)*a(n-10)+(-434*n^2+8176*n-36960)*a(n-11)+(-126*n^ 2+2088*n-8136)*a(n-12)+(20*n^2-268*n+312)*a(n-13)+2*(7*n-96)*(n-14)*a(n-14)+4*( 2*n-27)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a (6) = 12, a(7) = 24, a(8) = 55, a(9) = 121, a(10) = 284, a(11) = 677, a(12) = 1698, a(13) = 4438, a(14) = 12216, a(15) = 35294}, [0, 1, 1, 3, 5, 12, 24, 55, 121, 284, 677, 1698, 4438, 12216, 35294, 106868, 337066, 1100477, 3694689, 12683402, 44311267, 156974695, 562311448, 2032598319, 7402418348, 27128640650, 99958348682, 370030593906, 1375427875214, 5131218313706, 19205321896059, 72094787887841, 271363182598562, 1023912516564328, 3872157524220870, 14673902202202700, 55715218238261844, 211923126291178613, 807432486029450782, 3081129285420566907, 11774612650440066350, 45058587039472401850, 172650370621759306148, 662345138411364857427, 2543892260717874552763, 9781009102423087497804, 37645617967899356990297, 145033451556547738464415, 559272956473335289670512, 2158548460031387023767003], 1739824018860431372815210\ 7178947491594022832194002220925317738759672627754475948827775588790468983069213\ 4327356151415267269021987958669226530065987160282397988378503648541870408571435\ 0715821128791351389537372271230683093008767586244549542986390580301882034294087\ 5839583984103557234872014054354211885126926547247078822831723804364317443216153\ 5850760414804204916378876728655607369786891534466406085023531950608739407144116\ 8028917498954992687782599994105589439617245303720976601442461564417869461550864\ 9224320795932164321479223493314071197805071344118580176680976221740029875608159\ 97332498317115093] ---------------------------- (A,B)= , {1, 3, 5}, {4, 5} [P^2*x^9-P^2*x^7+2*P*x^7-4*P^2*x^5-P^2*x^4+P*x^5+8*P^2*x^3+2*P*x^4+x^5+P^2*x^2-\ 10*P*x^3-4*P^2*x-4*P*x^2+2*x^3+P^2+8*P*x+3*x^2-2*P-4*x+1, (-C*x^3-2*x+1)/((x^5- x^3)*C+x^3-x^2-2*x+1), {5*n*(n-5)*a(n)-6*(n-1)*(13*n-76)*a(n-1)+(467*n^2-4063*n +6288)*a(n-2)+(-1268*n^2+13594*n-29784)*a(n-3)+(1102*n^2-15662*n+47136)*a(n-4)+ (1674*n^2-17496*n+40704)*a(n-5)+(-3480*n^2+49602*n-167556)*a(n-6)+(-127*n^2-\ 2731*n+25056)*a(n-7)+(3008*n^2-47242*n+183468)*a(n-8)+(-625*n^2+8849*n-28608)*a (n-9)-(61*n-681)*(11*n-124)*a(n-10)+(215*n^2-1651*n-1704)*a(n-11)+(-326*n^2+ 1612*n+19152)*a(n-12)+(76*n^2-1586*n+8532)*a(n-13)+(116*n^2-1012*n-4272)*a(n-14 )+(-9*n^2+99*n+132)*a(n-15)+(-26*n^2+778*n-5832)*a(n-16)-2*(7*n-92)*(n-15)*a(n-\ 17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5 ) = 6, a(6) = 15, a(7) = 36, a(8) = 90, a(9) = 227, a(10) = 584, a(11) = 1529, a(12) = 4087, a(13) = 11175, a(14) = 31333, a(15) = 90263, a(16) = 267509, a(17 ) = 815912, a(18) = 2559382}, [0, 1, 1, 3, 6, 15, 36, 90, 227, 584, 1529, 4087, 11175, 31333, 90263, 267509, 815912, 2559382, 8243542, 27200137, 91689989, 314871271, 1098556035, 3884371611, 13890005841, 50140382750, 182445501165, 668366181020, 2462670937984, 9119364981080, 33916382472133, 126623090111218, 474337000713306, 1782280408943642, 6715054199017609, 25362795728949219, 96011801844415278, 364209125056950234, 1384220142523957331, 5270184505576548458 , 20098249016312980469, 76763345854977083911, 293609099841676473719, 1124517285991549444064, 4312296482382627606955, 16556367437342949850664, 63636522029336778784796, 244853446447079632754198, 943061662253021731006048, 3635680210141008577851400], 281882302511663323140744693880099532813597976672753\ 5102486947102500140383866499594939229766246730935134619546741031982407312550411\ 1616134827623729024799705628874872861006399778361993021306408990573982403812772\ 8551581008045322566194135225467651259989135872107937166255238485322555002885733\ 4927081720750888733145952822642753629998379341800585327381460534960974265636726\ 4937227747565868212615627155936662020089685190163372322959070107772553907466785\ 7469628932116613436204881972341427730746247631895814886937537826680826403701601\ 7754561118749158260597543167618763049435186760165463667359245910442735] ---------------------------- (A,B)= , {1, 3, 5}, {1, 2, 3} [P^2*x^7+2*P^2*x^6+2*P^2*x^5-3*P^2*x^3+2*P*x^4-4*P^2*x^2+3*P*x^3+P^2*x+4*P*x^2+ 2*P^2-2*P*x-4*P+x+2, (-C*x+x+1)/((x^3-x)*C-x^4-x^3-x^2+x+1), {6*n*(n-3)*a(n)-(n -1)*(47*n-208)*a(n-1)+(55*n^2-504*n+800)*a(n-2)+(197*n^2-1485*n+2548)*a(n-3)+(-\ 123*n^2+1212*n-2592)*a(n-4)+(-292*n^2+2880*n-6932)*a(n-5)+(-47*n^2+36*n+1280)*a (n-6)+(151*n^2-1977*n+6476)*a(n-7)+(138*n^2-1326*n+2832)*a(n-8)+(50*n^2-162*n-\ 944)*a(n-9)+(-32*n^2+564*n-2344)*a(n-10)-2*(16*n-91)*(n-8)*a(n-11)+(-n^2-6*n+ 136)*a(n-12)+2*(2*n-19)*(n-10)*a(n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 0, a(6) = 4, a(7) = 2, a(8) = 13, a(9) = 22, a(10) = 82, a(11) = 232, a(12) = 790, a(13) = 2606}, [0, 1, 0, 2, 0, 4, 2, 13, 22, 82, 232, 790, 2606, 8987, 31186, 109971, 391254, 1404802, 5080498, 18493595, 67698146, 249061396, 920386540, 3414856024, 12715794178, 47504944599, 178005200578, 668829756829, 2519366367104, 9512069823577, 35990789748876, 136449902156286, 518275254050952, 1971964414232340, 7515195322764522, 28684013943926941, 109637198774218688, 419621522008675027, 1608073940294279470, 6169814767597742759, 23698889750639763650, 91127148153440845708, 350758012713188761594, 1351404631652802946663, 5211476028180190025686, 20114750482749131356350, 77701512419719815142804, 300392283988665037234720, 1162190209389412133198522, 4499667828012600838254399], 411280044942160066865894\ 7798736299664986938789741901386045115497891896205003861577029000481521541070173\ 4487145669064625686324289039886070161714500468148751774799653214777360102463889\ 5484837338687633502052168777244851316485370016628194100176321627603490729216657\ 7751224847202162762394039180085952688925905341872077025147833203325152719991829\ 7917628915499194179933673757514595426508144985350174437889704961018658351562278\ 5732646957071013697790605670939749754070332066624546128692083672339891980084383\ 7521427965158438495779661793041196084818325362160502651175012536161834931471481\ 308812339408411170] ---------------------------- (A,B)= , {1, 3, 5}, {1, 2, 4} [P^2*x^10-4*P^2*x^9+7*P^2*x^8-6*P^2*x^7+P^2*x^6-2*P*x^7+7*P^2*x^5+6*P*x^6-9*P^2 *x^4-10*P*x^5+4*P^2*x^3+9*P*x^4+2*P^2*x^2-2*P*x^3+x^4-3*P^2*x-6*P*x^2-2*x^3+P^2 +6*P*x+4*x^2-2*P-3*x+1, (C*x^2-x^2+x-1)/((x^5-x^4+x^2)*C-x^5+2*x^4-x^3+x-1), {-\ 4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)+(-293*n^2+2261*n-3366)*a(n-2)+(759*n^2-\ 7269*n+15186)*a(n-3)+(-877*n^2+10885*n-30498)*a(n-4)+(-295*n^2-1235*n+15714)*a( n-5)+(2449*n^2-23137*n+48054)*a(n-6)+(-3425*n^2+37913*n-94134)*a(n-7)+(1634*n^2 -18572*n+32424)*a(n-8)+(1448*n^2-18998*n+86808)*a(n-9)+(-2868*n^2+31698*n-90396 )*a(n-10)+(1785*n^2-6891*n-69126)*a(n-11)+(-41*n^2-21589*n+212274)*a(n-12)+(-\ 468*n^2+20532*n-166776)*a(n-13)+(-322*n^2+6190*n-27012)*a(n-14)+(1171*n^2-30019 *n+191598)*a(n-15)-2*(n-13)*(619*n-8334)*a(n-16)+(741*n^2-20313*n+139026)*a(n-\ 17)+(-254*n^2+7226*n-51180)*a(n-18)+20*(2*n-27)*(n-16)*a(n-19) = 0, a(1) = 0, a (2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 5, a(7) = 7, a(8) = 22, a(9) = 51 , a(10) = 151, a(11) = 438, a(12) = 1372, a(13) = 4395, a(14) = 14540, a(15) = 49074, a(16) = 168654, a(17) = 587809, a(18) = 2073199, a(19) = 7385013}, [0, 1 , 0, 2, 1, 5, 7, 22, 51, 151, 438, 1372, 4395, 14540, 49074, 168654, 587809, 2073199, 7385013, 26530445, 96008337, 349653205, 1280546947, 4713098020, 17423634744, 64669057732, 240886609585, 900208992071, 3374146750686, 12681358421538, 47780788678481, 180443941366346, 682901356756693, 2589605856716142, 9838065335948352, 37439705794679345, 142709681067525420, 544789711554580146, 2082662986583852638, 7972370338570624825, 30556327026515114024, 117254545023918625807, 450448538968241484254, 1732295435711626094626, 6668625470520968292729, 25696050070552772572350, 99104138178485036151589, 382554873552977944776675, 1477932816057814059916748, 5714237941692820276207825], 492810742606051502803721978931238377959829624252728\ 1666777861543605711700671107525291295114679618167699628837280465599486294673853\ 7593281713295177124914875611665547656856374886642276622307346941874834598121941\ 6109583184688246914331918281940325484149910747152868966643957153932339068706860\ 1273554546846655272404411195100566408577205044420131230768444899519987826853914\ 2171996076731347925351850012200554119716327819977317539051342314820000639707496\ 6292766595730378496231347506729909761521810070345195746336306923289174253267452\ 0313811284374669884458529080307230974642134745295616598942592576952811] ---------------------------- (A,B)= , {1, 3, 5}, {1, 2, 5} [P^2*x^8-2*P^2*x^7+4*P^2*x^6-2*P^2*x^5-5*P^2*x^4-P*x^5+7*P^2*x^3+6*P*x^4-8*P*x^ 3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^4-x^2)*C-x^4+ x^3-x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(355*n^2-3125*n+4860)*a (n-2)+(-778*n^2+8516*n-18948)*a(n-3)+(280*n^2-5504*n+19536)*a(n-4)+(1858*n^2-\ 20012*n+48924)*a(n-5)+(-3118*n^2+41426*n-130800)*a(n-6)+(648*n^2-11472*n+45036) *a(n-7)+(2766*n^2-40668*n+152016)*a(n-8)+(-2799*n^2+43965*n-176508)*a(n-9)+(598 *n^2-7808*n+26568)*a(n-10)+(690*n^2-14604*n+74232)*a(n-11)+(-699*n^2+13923*n-\ 69072)*a(n-12)+(352*n^2-7076*n+35472)*a(n-13)+(-81*n^2+1767*n-9612)*a(n-14)+2*( n-12)*(2*n-25)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a (6) = 5, a(7) = 6, a(8) = 18, a(9) = 35, a(10) = 95, a(11) = 241, a(12) = 692, a(13) = 2036, a(14) = 6331, a(15) = 20296}, [0, 1, 0, 2, 1, 5, 6, 18, 35, 95, 241, 692, 2036, 6331, 20296, 67046, 226362, 778372, 2715835, 9591289, 34215452, 123103842, 446161560, 1627275521, 5968089739, 21995496973, 81418449711, 302556409572, 1128282709284, 4220996908736, 15837061533683, 59578504571560, 224680961740459, 849223571962365, 3216501265555727, 12206360233875490, 46405679019935695, 176720211969130327, 674037794254856627, 2574675364606299582, 9848318981629678537, 37719661526874662868, 144646264251336630156, 555329599231079527865, 2134378367940351634209, 8211905895853938656368, 31626081765901028912974, 121914210475174294564356, 470382326344861355112542, 1816423066951475433071090], 149132158559446156444117923455989629857757780318780\ 9682953282389460148497308112592007365297984444765171727116640056590675878152579\ 9179750343005911714258243336173060499321969846790411138916433635918710063666415\ 0463999195967478138331601100182305647843093650678203007771690579576168878800292\ 6103721783775116227590285423509799878622857377490606504741701017103610804383805\ 7608756769983964689988049138730032151494288035392409820443329958955939723558402\ 9539572351681831518405294844700642613783271844688934978140101038974369351222452\ 8967894409342619655471145384137534609611887626430196748703577849057058] ---------------------------- (A,B)= , {1, 3, 5}, {1, 3, 4} [P^2*x^6-4*P^2*x^5-2*P*x^6+6*P^2*x^4+6*P*x^5+x^6+2*P^2*x^3-7*P*x^4-2*x^5-5*P^2* x^2-4*P*x^3+2*x^4+8*P*x^2+2*x^3+P^2-3*x^2-2*P+1, (C*x^3-x^3+x^2-1)/(C*x^3-x^3+2 *x^2-1), {-2*n*(n-4)*a(n)+(n-1)*(17*n-90)*a(n-1)+(-22*n^2+226*n-372)*a(n-2)+(-\ 126*n^2+1008*n-1812)*a(n-3)+(272*n^2-2810*n+6708)*a(n-4)+(209*n^2-2045*n+4962)* a(n-5)+(-790*n^2+9592*n-29016)*a(n-6)+(194*n^2-2516*n+8292)*a(n-7)+(644*n^2-\ 9380*n+33696)*a(n-8)+(-442*n^2+5902*n-17268)*a(n-9)+(56*n^2+106*n-6756)*a(n-10) +(-96*n^2+2148*n-12024)*a(n-11)+(144*n^2-3636*n+22920)*a(n-12)+(-67*n^2+1723*n-\ 11070)*a(n-13)+6*(n-14)*(2*n-25)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4 ) = 2, a(5) = 0, a(6) = 5, a(7) = 2, a(8) = 17, a(9) = 22, a(10) = 91, a(11) = 216, a(12) = 741, a(13) = 2262, a(14) = 7660}, [0, 1, 0, 2, 0, 5, 2, 17, 22, 91 , 216, 741, 2262, 7660, 25670, 88889, 310218, 1098352, 3922110, 14127855, 51240094, 187001716, 686133990, 2529614540, 9365935684, 34810893965, 129832975810, 485762059111, 1822683948510, 6857159509793, 25860128481796, 97743929222558, 370211386709328, 1404903622476737, 5341000760393714, 20338851157273981, 77573108702215762, 296302064560579919, 1133335281887096948, 4340575592781223566, 16644446417830186032, 63899152921041775851, 245582567148812706654, 944825829005824774058, 3638603860760728771512, 14025724894921685456458, 54113254320069898946132, 208954372099811581806383, 807517038987812930666290, 3123118446180673161966613], 2728540029953263848870882\ 7114899257466705441277626162984784766129060529590326918431953939007078377951096\ 9999400996601875784265404745310511939848815491652905277349117843795509784980862\ 4144382618022962802039558631369006925850583630907490475535714777143610536570258\ 2980195624589381292855465169135565301182306102025635703211833935895339376801546\ 3249726555760218349767927064249232186976682395131375021858294733816647909761384\ 6865124752128490359890679996507465994987384775171789768680208928733707755151834\ 6934284568394163985446408432794497741274529304353789734400048105576694053600730\ 24940261084909942] ---------------------------- (A,B)= , {1, 3, 5}, {1, 3, 5} [P^2*x^7-4*P^2*x^5+4*P^2*x^4+3*P*x^5+4*P^2*x^3-4*P*x^4-4*P^2*x^2-6*P*x^3+x^4-P^ 2*x+6*P*x^2+2*x^3+P^2+2*P*x-2*x^2-2*P-x+1, (-C*x^2-x^2+1)/((x^4-x^2)*C-2*x^2+1) , {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)+(-139*n^2+1325*n-2124)*a(n-2)+(-\ 103*n^2+587*n-516)*a(n-3)+(848*n^2-9274*n+22536)*a(n-4)+(-520*n^2+7292*n-22848) *a(n-5)+(-1515*n^2+19665*n-62364)*a(n-6)+(1742*n^2-25966*n+95316)*a(n-7)+2*(383 *n-2844)*(n-8)*a(n-8)+(-1645*n^2+27803*n-117348)*a(n-9)+(232*n^2-3878*n+15288)* a(n-10)+(472*n^2-9032*n+43824)*a(n-11)+(-148*n^2+3008*n-15408)*a(n-12)+(-51*n^2 +1101*n-5916)*a(n-13)+6*(n-12)*(2*n-25)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 0, a(6) = 5, a(7) = 1, a(8) = 15, a(9) = 11, a(10) = 61, a( 11) = 101, a(12) = 377, a(13) = 977, a(14) = 3310}, [0, 1, 0, 2, 0, 5, 1, 15, 11, 61, 101, 377, 977, 3310, 10397, 35410, 120083, 418714, 1471581, 5239516, 18803827, 68028316, 247683472, 907028305, 3338236161, 12341366376, 45808604680, 170647506021, 637783213147, 2390782761503, 8986496009938, 33863153433989, 127898673148853, 484095447797313, 1835926242808376, 6975555430585169, 26548981788235371, 101207789821786963, 386396439331152640, 1477289298190833747, 5655551590257199596, 21678450253179362772, 83194573592598520655, 319629910614066914960, 1229305518743632096523, 4732695918014977977219, 18237775159515269372212, 70344369768828966077420, 271557785057144043229068, 1049187526916717541094501], 878932852692751498930977834856873178817317172083414\ 5181005076267022518329343118470826906332762371559513560172396849070468974340093\ 5992130898809875413884857291220597248116971291230023583294942078594170167130850\ 2994022611237134604733175032220197011818697662458373936426933061338905639292320\ 3687265253786861534510656411428567947623880931069036583644250812395898768105670\ 3776823202342931708851175750747975071657191778996855015111665205074226417758842\ 5197189721254665819011519453543617455267228270893449765433223807179575185142100\ 274950074745851114051880050286656932501404467686320880862269781108086] ---------------------------- (A,B)= , {1, 3, 5}, {1, 4, 5} [P^2*x^9-2*P^2*x^8+2*P*x^8-3*P^2*x^5-2*P*x^6+x^7+6*P^2*x^4-P*x^5+2*x^6+6*P^2*x^ 3-8*P*x^4+2*x^5-4*P^2*x^2-8*P*x^3+3*x^4-2*P^2*x+6*P*x^2+2*x^3+P^2+4*P*x-2*x^2-2 *P-2*x+1, ((-x^4-x^3)*C-x^2-x+1)/((x^5-x^4-x^3)*C+x^3-2*x^2-x+1), {5*n*(n-5)*a( n)-60*(n-1)*(n-6)*a(n-1)+(227*n^2-2077*n+3276)*a(n-2)+(-122*n^2+1894*n-4944)*a( n-3)+(-978*n^2+10230*n-23832)*a(n-4)+(1391*n^2-18535*n+55944)*a(n-5)+(1482*n^2-\ 18330*n+56136)*a(n-6)+(-2863*n^2+43007*n-158052)*a(n-7)+(-933*n^2+15969*n-69024 )*a(n-8)+(2045*n^2-35701*n+155856)*a(n-9)+(24*n^2-7044*n+64632)*a(n-10)+(19*n^2 +2563*n-24444)*a(n-11)+(62*n^2+4244*n-59688)*a(n-12)+(-353*n^2+3757*n+4416)*a(n -13)+(238*n^2-8246*n+71016)*a(n-14)+(-46*n^2+2498*n-25776)*a(n-15)+(20*n^2-514* n+3312)*a(n-16)+(39*n^2-1239*n+9720)*a(n-17)+(-102*n^2+3366*n-27624)*a(n-18)+20 *(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 6, a(7) = 8, a(8) = 25, a(9) = 50, a(10) = 135, a(11) = 331, a(12) = 912 , a(13) = 2542, a(14) = 7527, a(15) = 23041, a(16) = 73297, a(17) = 239941, a( 18) = 805520, a(19) = 2758784}, [0, 1, 0, 2, 1, 6, 8, 25, 50, 135, 331, 912, 2542, 7527, 23041, 73297, 239941, 805520, 2758784, 9605276, 33891830, 120908945 , 435300755, 1579293259, 5767470491, 21182022827, 78180069437, 289812565355, 1078504120361, 4027500433415, 15087303702020, 56679325589630, 213484782924476, 806018104081468, 3049835460178600, 11563508543858073, 43925882818066048, 167152174148572075, 637108147376646443, 2432080463053780264, 9297471484593452365, 35590677477990604774, 136413663731656193087, 523477990100155587771, 2011079642727661020261, 7734355033793815148457, 29775476403699878361963, 114738925101486261122148, 442547223796535130228319, 1708386401778704207788716], 138759701449182190640860925902279934916551350251434\ 5135758634457848014536070218162496399003496648500293057286525126509426836789297\ 8201767842813040332390805573330056347388866989428759195179653447609037374832698\ 3807685100611359353790565942962212710080978641258511431200819139035592046971879\ 8529974032973424266440820506345208062460698868539635651472983829976325522719231\ 8980621276077737868787232615155798463191518508879268704756255591355640928547031\ 6952257638923532982777505840955034265767437825391349375478859402574468940827122\ 7677709759970147424809099887940962370727693889446619609456406827727242] ---------------------------- (A,B)= , {1, 3, 5}, {2, 3, 4} [P^2*x^10-P^2*x^8-2*P*x^9+2*P*x^8+P^2*x^6+x^8+6*P^2*x^5-2*x^7+3*P^2*x^4-4*P*x^5 +2*x^6-P^2*x^3-7*P*x^4-2*x^5-P^2*x^2+4*P*x^3+5*x^4-2*P^2*x-3*x^3+P^2+4*P*x+x^2-\ 2*P-2*x+1, (C*x^4-x^4+x^3+x-1)/((x^5+x^4)*C-x^5+x^3+x^2+x-1), {-4*n*(n-4)*a(n)+ 48*(n-1)*(n-5)*a(n-1)+(-200*n^2+1592*n-2400)*a(n-2)+(326*n^2-3266*n+7044)*a(n-3 )-16*(11*n-57)*(n-7)*a(n-4)+(203*n^2-2081*n+6006)*a(n-5)+(-384*n^2+5622*n-19764 )*a(n-6)+(-303*n^2+1053*n+6498)*a(n-7)+(451*n^2-4831*n+9834)*a(n-8)+(192*n^2-\ 3978*n+21012)*a(n-9)+(146*n^2+1108*n-27408)*a(n-10)+(20*n^2-3896*n+47256)*a(n-\ 11)+(-145*n^2+2785*n-21726)*a(n-12)+(176*n^2-3716*n+22848)*a(n-13)+(-128*n^2+ 5030*n-47220)*a(n-14)+(-272*n^2+9128*n-72144)*a(n-15)+(302*n^2-11540*n+105552)* a(n-16)+(53*n^2-1871*n+16626)*a(n-17)+(90*n^2-2970*n+24108)*a(n-18)+(-37*n^2+ 1495*n-14418)*a(n-19)+(-94*n^2+3082*n-24876)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 11, a(7) = 23, a( 8) = 51, a(9) = 117, a(10) = 284, a(11) = 729, a(12) = 1988, a(13) = 5743, a(14 ) = 17468, a(15) = 55473, a(16) = 182361, a(17) = 615883, a(18) = 2123883, a(19 ) = 7444092, a(20) = 26427110, a(21) = 94787591}, [0, 1, 1, 3, 5, 11, 23, 51, 117, 284, 729, 1988, 5743, 17468, 55473, 182361, 615883, 2123883, 7444092, 26427110, 94787591, 342857346, 1248926366, 4576855987, 16859806991, 62389880183 , 231807104428, 864380829404, 3233660650981, 12132866729000, 45645661747939, 172149260795541, 650721538665211, 2464873084627176, 9354850571836047, 35568279177537354, 135462642899615864, 516724716700079500, 1973962297866203532, 7551258652585214711, 28924455327138175455, 110928710366497872114, 425918003792060303170, 1637133373952172419652, 6299311731936930885062, 24262190467978607285329, 93534843724503422104631, 360913866532968242225474, 1393805183901128591424603, 5387060734419181253504423], 458816326041462086283099\ 6260306598868019894989911610411675419197523935873315223371486541768148444621305\ 8656742899331557228828815713454089566737315885738393066812374318171895897104578\ 9617785991498792529538894254820392372201267874805301291024924377795807074619329\ 3089848024808948097286574859941023373118849722587472270991900130782994347113817\ 4177101281673840246900746060359324320073958727480283449541486781683696260127207\ 1544602624265414499261224145402019647431909391968548302151119628927264079777389\ 3421995239417407595442031619055549662789238043654638519115979453626301727582200\ 230889051109417812] ---------------------------- (A,B)= , {1, 3, 5}, {2, 3, 5} [P^2*x^8+2*P^2*x^7+3*P^2*x^6-2*P*x^7+2*P^2*x^5-2*P*x^6-2*P^2*x^4-3*P*x^5+x^6+2* P^2*x^3+2*P*x^4+P^2*x^2+x^4-3*P^2*x-4*P*x^2-2*x^3+P^2+6*P*x+3*x^2-2*P-3*x+1, (( x^3-x^2)*C-x^3-x+1)/((x^4+x^3-x^2)*C-x^4-x^3-x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1) *(23*n-136)*a(n-1)+(-363*n^2+3183*n-4944)*a(n-2)+(900*n^2-9600*n+21072)*a(n-3)+ (-993*n^2+12993*n-37728)*a(n-4)+(81*n^2-3597*n+19248)*a(n-5)+(968*n^2-10888*n+ 27048)*a(n-6)+(-1108*n^2+15380*n-51048)*a(n-7)+(323*n^2-6367*n+28656)*a(n-8)+( 346*n^2-5702*n+24216)*a(n-9)+(-179*n^2+5083*n-34848)*a(n-10)+(116*n^2-1756*n+ 8520)*a(n-11)+(-19*n^2-745*n+10512)*a(n-12)+(-62*n^2+1966*n-15192)*a(n-13)+(26* n^2-766*n+5880)*a(n-14)+(44*n^2-1456*n+11808)*a(n-15)+6*(7*n-103)*(n-16)*a(n-16 )+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 11, a(7) = 22, a(8) = 47, a(9) = 101, a(10) = 226, a(11) = 525, a( 12) = 1283, a(13) = 3316, a(14) = 9099, a(15) = 26456, a(16) = 81022, a(17) = 259136}, [0, 1, 1, 3, 5, 11, 22, 47, 101, 226, 525, 1283, 3316, 9099, 26456, 81022, 259136, 857927, 2917176, 10123689, 35688228, 127356818, 458932228, 1666942061, 6094846069, 22410125944, 82800836243, 307237703354, 1144340245049, 4276670018924, 16031844872508, 60265323902845, 227119225190887, 857931548314418 , 3247767041327115, 12319158657187907, 46814396460510342, 178207049833511674, 679466316955666511, 2594561635074691650, 9921394175669530155, 37988961009026489580, 145641359166389373368, 559015812460968578279, 2148065565562634326486, 8262839517248392762467, 31816011977099117065677, 122623839868403798929954, 473038583911211286726946, 1826383236290675326108379], 1491608183889769476743797584190141993846749704481226181068202044371199493922690\ 7180949044419772608913045099348153178487270674335604450643429698973060412260863\ 2372406440949953723239795605232102821239981909669098169390512821298964189689036\ 6279728072421064976666745010078900147346592796671537319707181768531390447719377\ 8954095953315366970707350116070469875659173588207576064977881543658603721600464\ 2157063799525795676428635290730838603127832854094620592390117364579678627842572\ 5903645500051123844983007079241614488029157033869956598988416512914380116130651\ 614301055105558216903435384909965273480669] ---------------------------- (A,B)= , {1, 3, 5}, {2, 4, 5} [P^2*x^11-P^2*x^9-2*P*x^10+3*P^2*x^8+2*P*x^9-2*P*x^8+x^9+P^2*x^6-4*P*x^7-2*x^8+ 4*P^2*x^5+4*P*x^6+4*x^7-4*P^2*x^4-9*P*x^5-3*x^6+3*P^2*x^3+4*P*x^4+3*x^5+3*P^2*x ^2+x^4-4*P^2*x-8*P*x^2-3*x^3+P^2+8*P*x+5*x^2-2*P-4*x+1, ((x^5-x^4+x^3)*C+x^3-x^ 2+2*x-1)/((x^6-x^4+x^3)*C+x^4+2*x-1), {-5*n*(n-5)*a(n)+6*(n-1)*(13*n-76)*a(n-1) +(-483*n^2+4179*n-6456)*a(n-2)+(1495*n^2-15683*n+34008)*a(n-3)+(-2304*n^2+29076 *n-81600)*a(n-4)+(1084*n^2-19376*n+75240)*a(n-5)+(1816*n^2-18566*n+38748)*a(n-6 )+(-3420*n^2+45702*n-146640)*a(n-7)+(2349*n^2-34431*n+119532)*a(n-8)+(54*n^2-\ 1470*n+19740)*a(n-9)+(-1484*n^2+22216*n-90540)*a(n-10)+(1236*n^2-8496*n-43704)* a(n-11)+(-122*n^2-15230*n+207000)*a(n-12)+(-691*n^2+21863*n-192612)*a(n-13)+( 258*n^2+1596*n-49692)*a(n-14)+(577*n^2-27113*n+271308)*a(n-15)+(-712*n^2+26000* n-237996)*a(n-16)+(356*n^2-12202*n+108300)*a(n-17)+(255*n^2-9339*n+84012)*a(n-\ 18)+(-398*n^2+14056*n-123492)*a(n-19)+(332*n^2-12640*n+119400)*a(n-20)+(3*n^2+ 303*n-6396)*a(n-21)+(-94*n^2+3458*n-31416)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 6, a(6) = 14, a(7) = 32, a(8) = 75, a(9) = 178, a(10) = 432, a(11) = 1074, a(12) = 2748, a(13) = 7267, a(14) = 19936, a(15) = 56866, a(16) = 168716, a(17) = 519773, a(18) = 1657136, a(19) = 5443565, a(20) = 18338089, a(21) = 63072975, a(22) = 220631729, a(23) = 782411047}, [0, 1, 1, 3, 6, 14, 32, 75, 178, 432, 1074, 2748, 7267, 19936, 56866, 168716, 519773, 1657136, 5443565, 18338089, 63072975, 220631729, 782411047, 2805633187, 10152753050, 37018388344, 135833863707, 501126760642, 1857443430498, 6912848638481, 25820594590857, 96755310866550, 363616024252215, 1370103141635260, 5174941029379155, 19589041439239521, 74302183320174355, 282361026974206568, 1074891249495656387, 4098539404965580456, 15651362906243865826, 59853831866633851176, 229197992089037064388, 878768522620114706031, 3373275705487376444111, 12963263700696505110447, 49869604086321862110290, 192040361299749203192786, 740222013872066332433975, 2855774477357322073529936], 226904232621304424028438738214670876932973354691624\ 3387342939670682189319166373896187637402087441036877950206370876478505827182413\ 2956815524913077108635157523093608383521104471821641677828564325246146913446835\ 2579186506976876974341248902500905997428783252907314358734052524617488503422085\ 3008908831491102443801515069219995986147565894551223602393585149658956000405198\ 4119895191452313840113191859746560123709761284216622315395725482608951388882536\ 1822192291356100790702010561025809945521805379913363775099444451175200041601578\ 7321463261035053122370491659734130667664965718067091917037491696595351] ---------------------------- (A,B)= , {1, 3, 5}, {3, 4, 5} [P^2*x^7-2*P*x^7+2*P^2*x^5+x^7+5*P^2*x^4-3*P*x^5+3*P^2*x^3-6*P*x^4+x^5-3*P^2*x^ 2-4*P*x^3+2*x^4-2*P^2*x+4*P*x^2+x^3+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^4+x^2+x-1)/(C *x^4+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-235*n^2+2135*n-3360)* a(n-2)+(223*n^2-2807*n+6744)*a(n-3)+(544*n^2-5564*n+12432)*a(n-4)+(-814*n^2+ 11210*n-34704)*a(n-5)+(-790*n^2+9956*n-30468)*a(n-6)+(848*n^2-14524*n+59040)*a( n-7)+(1014*n^2-15672*n+60132)*a(n-8)+(-235*n^2+3605*n-13332)*a(n-9)+(-393*n^2+ 9147*n-51948)*a(n-10)+(-157*n^2+5273*n-39552)*a(n-11)+(-68*n^2+1156*n-3936)*a(n -12)+(23*n^2-1393*n+14436)*a(n-13)+(38*n^2-1222*n+9672)*a(n-14)-2*(7*n-92)*(n-\ 15)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 12, a(7) = 24, a(8) = 54, a(9) = 117, a(10) = 267, a(11) = 618, a(12) = 1495, a(13) = 3767, a(14) = 10002, a(15) = 28004, a(16) = 82681} , [0, 1, 1, 3, 5, 12, 24, 54, 117, 267, 618, 1495, 3767, 10002, 28004, 82681, 256062, 826005, 2753534, 9418157, 32858072, 116397530, 417257234, 1509917627, 5505724877, 20203094025, 74531377433, 276220465275, 1027820537255, 3838168308247, 14378510241044, 54019746061098, 203482322125741, 768315289468826 , 2907415415495960, 11024432663788646, 41881512473826455, 159385221967742510, 607550086375363007, 2319414866910144052, 8867385078964272464, 33946566335191480135, 130120302322690999169, 499357955181295050022, 1918527349704455064602, 7378819548340953081973, 28408251812738536241539, 109475912367660188973519, 422268301508378422183247, 1630178431531082129112236], 1326680540956734121480370363042142137048580015183638343181749842019662609093680\ 8923707500212444718977231104496991127723464570920606260934147059118502579192130\ 3650582194045599057331809285998137232805307006830026010321472064235074658781405\ 5254775495547316254054565295827065062485689345050497634485402475221818327238453\ 3667865066267145051080556296584083795088057191936547891067546362474555727594739\ 0162501850133492273431538273543741200923723581664126216197824640250826557793498\ 4649736946319423131821001426863494824872230509322129335286744494253485031493063\ 266550039290640713069791680788841719159479] ---------------------------- (A,B)= , {1, 3, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^9+2*P^2*x^8-2*P^2*x^7+3*P^2*x^6+2*P^2*x^5-2*P^2*x^4-2*P*x^5+3 *P*x^4-2*P^2*x^2+2*P*x^2+P^2-2*P+1, -1/(C*x^5-x^5+x^4+x^2-1), {-2*n*(n-4)*a(n)+ (n-1)*(17*n-90)*a(n-1)+(-31*n^2+280*n-444)*a(n-2)+(-43*n^2+325*n-510)*a(n-3)+( 94*n^2-898*n+1908)*a(n-4)-3*(7*n+26)*(n-5)*a(n-5)+(61*n^2-262*n-672)*a(n-6)+(9* n^2-99*n+774)*a(n-7)+(-207*n^2+2040*n-4812)*a(n-8)+(115*n^2-919*n+1194)*a(n-9)+ (-36*n^2-120*n+1872)*a(n-10)+12*(n+16)*(2*n-13)*a(n-11)+(42*n^2-912*n+4440)*a(n -12)+(-45*n^2+567*n-1494)*a(n-13)+(20*n^2-260*n+696)*a(n-14)+(n^2-49*n+414)*a(n -15)+(-5*n^2+128*n-804)*a(n-16)+2*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 0, a(6) = 4, a(7) = 2, a(8) = 12, a(9) = 18, a(10 ) = 65, a(11) = 170, a(12) = 562, a(13) = 1788, a(14) = 6038, a(15) = 20556, a( 16) = 71463, a(17) = 251182}, [0, 1, 0, 2, 0, 4, 2, 12, 18, 65, 170, 562, 1788, 6038, 20556, 71463, 251182, 892874, 3201372, 11567020, 42067638, 153879875, 565749528, 2089470126, 7748422350, 28839178583, 107695210594, 403390283493, 1515158781518, 5705536378088, 21535450565468, 81461791805858, 308765098948754, 1172507504044341, 4460272372100632, 16994797208900762, 64853689724388382, 247843111020472537, 948430404634229286, 3634015216088752213, 13940865035986822830, 53540940805906917046, 205849311676617435600, 792238359453908394888, 3051989582220258302598, 11768207303606756245089, 45417005225133646735600, 175424311802773769445585, 678121604305334217531432, 2623351062503804188775763], 231572083457709921054125684271557237896354468099379\ 3666582032392574838750267559650919490983123694405603607431111238779523684508870\ 1156315278638348089088278096593042314775366169359296877597873510504454061905025\ 4073077457716343323841412892939211436157210860874418511496233579600457356086229\ 3812198747979778948018394014395909362820016192172382227968724261612097496912741\ 0810927447920645433551152277842926619390718020137505871429400635544495737709675\ 2637224414012845281774292552175996755292323268349223012269651916818581031870087\ 0382387940333783751594574923418946538394633702224725828551047810875558] ---------------------------- (A,B)= , {1, 3, 5}, {1, 2, 3, 5} [P^2*x^8+2*P^2*x^6-2*P^2*x^5-P^2*x^4+P*x^5+3*P^2*x^3+2*P*x^4-2*P^2*x^2-4*P*x^3- P^2*x+2*P*x^2+x^3+P^2+2*P*x-2*P-x+1, (-C*x^2+1)/((x^4-x^2)*C-x^4-x^2+1), {-5*n* (n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)+(-155*n^2+1441*n-2292)*a(n-2)+(54*n^2-900* n+2532)*a(n-3)+(432*n^2-4320*n+9336)*a(n-4)+(-660*n^2+7890*n-21876)*a(n-5)+(70* n^2-1142*n+3936)*a(n-6)+(728*n^2-9856*n+33540)*a(n-7)+(-740*n^2+10906*n-40752)* a(n-8)+(95*n^2-1345*n+5772)*a(n-9)+(236*n^2-4942*n+23736)*a(n-10)+(-188*n^2+ 3934*n-19992)*a(n-11)+(131*n^2-2263*n+9672)*a(n-12)+(-82*n^2+1478*n-6456)*a(n-\ 13)+(23*n^2-493*n+2628)*a(n-14)+2*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 0, a(6) = 4, a(7) = 1, a(8) = 10, a(9) = 9, a(10) = 39, a(11) = 78, a(12) = 263, a(13) = 758, a(14) = 2513, a(15) = 8239}, [0, 1, 0, 2, 0, 4, 1, 10, 9, 39, 78, 263, 758, 2513, 8239, 28118, 96962, 339957, 1204098, 4306873, 15526005, 56360259, 205818289, 755606529, 2787060113, 10323397290, 38383247648, 143201641245, 535928668909, 2011416299978, 7568865219226, 28549830620039, 107929641470551, 408857205761327, 1551790670727396, 5900224186747991, 22471225593748979, 85715972243273344, 327439958216860161, 1252559809357950766, 4797637466953471936, 18398684714730760470, 70639462206030775903, 271507889578756958844, 1044641537520243933797, 4023269096393836162062, 15509461211079319779954, 59841241587962703300871, 231085416680823928863036, 893090773524070148564454], 7569180522364988311424199698451389051689598242016776789079277778267961749008324\ 9302397604545699324892666610240904923021830039526656099062521331268623180177023\ 7324847252796626236677842932671047507569313869323461402441657741054513419563195\ 1851350070279486100478531342355194362131973719013314194450082657777860637713645\ 9071509657415927756681855791555006385588204580146195097486328467066383151596403\ 0891414004689379401787336132374331470508031438758259480915673563296725578186292\ 9213461840518444075148746470250451179546611875653593138429361105140354225083615\ 13652442984727636313877175964879447761733] ---------------------------- (A,B)= , {1, 3, 5}, {1, 2, 4, 5} [P^2*x^11-2*P^2*x^10+2*P^2*x^9+P^2*x^8-2*P^2*x^7-2*P*x^8+4*P^2*x^6+2*P*x^7-2*P^ 2*x^5-2*P*x^6-P^2*x^4-P*x^5+5*P^2*x^3+2*P*x^4+x^5-2*P^2*x^2-6*P*x^3-2*P^2*x+2*P *x^2+x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3+x-1)/((x^6-x^5+x^3)*C+x^4-x^3+x^2+x-1), {-\ 5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-3*(81*n-164)*(n-7)*a(n-2)+(293*n^2-3511*n+ 8256)*a(n-3)+(448*n^2-3908*n+6984)*a(n-4)+(-1381*n^2+16523*n-45636)*a(n-5)+(657 *n^2-9369*n+31116)*a(n-6)+(1155*n^2-15405*n+51432)*a(n-7)+(-1705*n^2+23177*n-\ 77952)*a(n-8)+(760*n^2-8276*n+15552)*a(n-9)+(433*n^2-9155*n+50868)*a(n-10)+(-\ 944*n^2+12754*n-40560)*a(n-11)+(744*n^2-5088*n-24048)*a(n-12)+(-189*n^2-1269*n+ 36132)*a(n-13)+(-168*n^2+1530*n+4848)*a(n-14)+(97*n^2+2335*n-42600)*a(n-15)+(71 *n^2-4759*n+50472)*a(n-16)+(-26*n^2+1534*n-16632)*a(n-17)+(-114*n^2+3198*n-\ 22248)*a(n-18)+(197*n^2-6217*n+48960)*a(n-19)+(-126*n^2+4098*n-33192)*a(n-20)+ 20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 1, a(6) = 5, a(7) = 6, a(8) = 17, a(9) = 31, a(10) = 80, a(11) = 192, a(12) = 532, a(13) = 1522, a(14) = 4661, a(15) = 14814, a(16) = 48774, a(17) = 164577, a(18) = 566491, a(19) = 1979971, a(20) = 7006494, a(21) = 25045229}, [0, 1, 0, 2, 1, 5, 6, 17, 31, 80, 192, 532, 1522, 4661, 14814, 48774, 164577, 566491, 1979971, 7006494, 25045229, 90284605, 327802557, 1197545903, 4398571242, 16232838043, 60160727341, 223808943222, 835462121825, 3128409700696, 11747607252846, 44228374931291, 166912141213250, 631292404710074, 2392534603088097, 9084644623207185, 34555988758341313, 131659945149836568, 502404145398726964, 1919908345715963430, 7346793473703051817, 28149511303540188976, 107986175996934842982, 414725684811711083462, 1594493278802203162792, 6136617367510503086315, 23640543604902585230791, 91156383088523458811113, 351802231259610403287356, 1358857798116908512802324], 1126823597334853756309887780290547912325239659591241704071675057500562747075783\ 1625794331290664532717578299166961706529067453150199671056236811047547823938369\ 5926910767805900376172131874183871783935779437827164164354274148218375843352174\ 7012257496473285181453709666133477489916114042147497806855256130651852132952754\ 7209221226168748463692535317556383233372811584997061501263046668067644508611043\ 7908231472356608279056620274186079041078834878284324343823393663854637734253597\ 5291135469019535765340587852919572209396870631189564327968821442652362001404461\ 308303629086600230194783273763660222731493] ---------------------------- (A,B)= , {1, 3, 5}, {1, 3, 4, 5} [P^2*x^7-2*P*x^7+2*P^2*x^5+x^7+4*P^2*x^4-3*P*x^5-P^2*x^3-4*P*x^4+x^5-4*P^2*x^2+ 2*P*x^3+x^4+6*P*x^2-x^3+P^2-2*x^2-2*P+1, (C*x^4+x^2-1)/(C*x^4+2*x^2-1), {-5*n*( n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-59*n^2+637*n-1068)*a(n-2)+(-239*n^2+2209*n-\ 4200)*a(n-3)+(402*n^2-4818*n+12264)*a(n-4)+(601*n^2-7079*n+19932)*a(n-5)+(-793* n^2+11393*n-38748)*a(n-6)+(-865*n^2+12569*n-45360)*a(n-7)+(588*n^2-9720*n+39504 )*a(n-8)+(566*n^2-10990*n+52920)*a(n-9)+(-70*n^2+788*n-672)*a(n-10)-16*(4*n-45) *(n-38)*a(n-11)+(-40*n^2+1664*n-14304)*a(n-12)+(23*n^2-1177*n+11628)*a(n-13)+( 38*n^2-1222*n+9672)*a(n-14)-2*(7*n-92)*(n-15)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16 ) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 0, a(6) = 5, a(7) = 1, a( 8) = 14, a(9) = 9, a(10) = 51, a(11) = 76, a(12) = 287, a(13) = 715, a(14) = 2431, a(15) = 7589, a(16) = 25926}, [0, 1, 0, 2, 0, 5, 1, 14, 9, 51, 76, 287, 715, 2431, 7589, 25926, 88088, 308075, 1085673, 3875231, 13938977, 50528202, 184291161, 675930127, 2491141591, 9221055654, 34264667232, 127771686040, 477972383412, 1793204761757, 6745430910777, 25436037282377, 96131825359487, 364074503309561, 1381509650519031, 5251703357355561, 19997556563848135, 76267080862121478, 291298436379013588, 1114143957606245018, 4266888613812063869 , 16361227706437745939, 62809523126878589989, 241386491966822893642, 928652582492605039295, 3576212546780908148295, 13784840721697145087990, 53182500778785820773300, 205355310097044336470552, 793589998554601400007471], 6709248128914515294810892944831230122321572811776882340710304570729511702439442\ 5936872109900287006270801591563854789180637524896347981081946680911134158980131\ 6209522526541510238828130943496516559167661478768320907081199967231479700971895\ 7776920618206206163748146295202308015657853086632359896869687924945897746206417\ 5964624692074424589013743890142992114621875192564304592628454763669525494065304\ 1964382138494119368113624216664908854460914952617872613747607476292076769001321\ 8327650862992172891265435708118763681647319649049373057543732679602530071976105\ 67780797697054356133370663223929543964816] ---------------------------- (A,B)= , {1, 3, 5}, {2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9-2*P*x^10+3*P^2*x^8-2*P*x^9+4*P^2*x^7-2*P*x^8+x^9 +5*P^2*x^6-4*P*x^7+4*P^2*x^5-4*P*x^6+x^7-5*P*x^5+x^6+x^5-P^2*x^2+2*P*x^3+x^4-2* P^2*x-2*x^3+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^5+x^3+x-1)/((x^6+x^5)*C+x^4+x^3+x^2+x -1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-251*n^2+2251*n-3528)*a(n-2)+(408* n^2-4530*n+10248)*a(n-3)+(-154*n^2+2414*n-8352)*a(n-4)+(-90*n^2+600*n+720)*a(n-\ 5)+(120*n^2-330*n-3180)*a(n-6)+(-476*n^2+6142*n-18840)*a(n-7)+(29*n^2-1987*n+ 12972)*a(n-8)+(250*n^2-4994*n+24888)*a(n-9)+(240*n^2-3822*n+12012)*a(n-10)+(335 *n^2-5041*n+16584)*a(n-11)+(80*n^2-2188*n+15096)*a(n-12)+(-90*n^2+6396*n-70872) *a(n-13)+(102*n^2+66*n-14388)*a(n-14)+(166*n^2-4892*n+37488)*a(n-15)+(238*n^2-\ 7496*n+60708)*a(n-16)+(461*n^2-17467*n+163884)*a(n-17)+(491*n-8500)*(n-21)*a(n-\ 18)+(423*n^2-15795*n+147312)*a(n-19)+12*(n-18)*(26*n-505)*a(n-20)+(195*n^2-7437 *n+70524)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0 , a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 3, a(5) = 5, a(6) = 11, a(7) = 22, a(8) = 46, a(9) = 97, a(10) = 211, a(11) = 474, a(12) = 1115, a(13) = 2771, a(14) = 7331, a(15) = 20681, a(16) = 61941, a(17) = 195237, a(18) = 640931, a(19) = 2170276, a(20) = 7520648, a(21) = 26514222, a(22) = 94703146, a(23) = 341694269 }, [0, 1, 1, 3, 5, 11, 22, 46, 97, 211, 474, 1115, 2771, 7331, 20681, 61941, 195237, 640931, 2170276, 7520648, 26514222, 94703146, 341694269, 1242819059, 4550339595, 16752819607, 61972534438, 230205722834, 858285468146, 3210544226245 , 12045311031258, 45314036000517, 170892322357755, 645952385371483, 2446755115874266, 9285929393867291, 35305749101033830, 134461301171829379, 512900450761453533, 1959338581060697007, 7495271198888459323, 28709857385677238055, 110105253358297640176, 422754881488463672334, 1624970657713755455938, 6252498845672942391926, 24081846279453920382639, 92839461886331946837498, 358230299281953632367471, 1383440550299337682433996], 1140349893250728410331961177379299058183482591784264353466088469722172566388511\ 7387910688327836829740194709248819404654290398526063684355884389693568304548327\ 3752142945880543335287615128209354310285036021876555088785263785090294474408538\ 8197944259567265196026742536031604337345755002676558837618951240504604253826771\ 3409757576736689005944503826733678890229984245372435832426181559463537196322994\ 5874602990872999995491973829258777650508485581906411638394510445593375119560311\ 8368153766264226945613301237019588184942107282731440783563531525287796222385138\ 960264309737067611958005671054308833697804] ---------------------------- (A,B)= , {1, 3, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^9+P^2*x^8+P^2*x^7+2*P^2*x^6-P^2*x^5-P^2*x^4+P*x^5+2*P*x^4-2*P^2 *x^2+2*P*x^2+P^2-2*P+1, -1/(C*x^6+x^4+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44) *a(n-1)+(-75*n^2+753*n-1236)*a(n-2)+(-110*n^2+958*n-1608)*a(n-3)+(232*n^2-2516* n+5736)*a(n-4)+(n-5)*(5*n-192)*a(n-5)-2*(29*n-183)*(n-8)*a(n-6)+(214*n^2-2222*n +5316)*a(n-7)+(-210*n^2+2850*n-9648)*a(n-8)+(-155*n^2+2101*n-6660)*a(n-9)+(32*n ^2-628*n+2784)*a(n-10)+(-106*n^2+1268*n-4152)*a(n-11)+(105*n^2-1539*n+6168)*a(n -12)+(-7*n^2-577*n+4920)*a(n-13)+(-9*n^2-51*n+1212)*a(n-14)+(84*n^2-1476*n+6492 )*a(n-15)+(-6*n^2+96*n-336)*a(n-16)+(23*n^2-493*n+2628)*a(n-17)+2*(n-12)*(2*n-\ 25)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 2, a(5) = 0, a(6) = 4, a( 7) = 1, a(8) = 9, a(9) = 7, a(10) = 31, a(11) = 57, a(12) = 194, a(13) = 550, a (14) = 1833, a(15) = 6020, a(16) = 20634, a(17) = 71405, a(18) = 251179}, [0, 1 , 0, 2, 0, 4, 1, 9, 7, 31, 57, 194, 550, 1833, 6020, 20634, 71405, 251179, 892172, 3198978, 11556580, 42028482, 153729810, 565185847, 2087348973, 7740458444, 28809247135, 107582620086, 402966147901, 1513558616175, 5699489561770, 21512563433625, 81375025291515, 308435647357152, 1171254685605029, 4455501287205558, 16976602172195961, 64784208173667750, 247577441844782527, 947413353130727736, 3630117135890359310, 13925908135045546093, 53483490337892917975, 205628416702555670286, 791388203263812731911, 3048714564739401648056, 11755579931862244959719, 45368277047620566685893, 175236120485268183845496, 677394232529785255893316], 5791959913468858177254318399740875220839908201049230676511462986458797641362740\ 3028398230172426386014110056287819414022350236561903983945462036793904617148683\ 5460109279902273208515759086730392712567558021533790065042831887963763407931580\ 4748998165837352277111726496907355728336122110316562690074446733866440447420780\ 7842518540724170740129332307741250614622126656697570861254605877330877784095560\ 0550241967600310182293241022595825748635177342122069745341133730904325262217172\ 4154597095072023102755521890942024897390758154139799433237612692755229629713246\ 63862958725680131691085737097679880494512] ---------------------------- (A,B)= , {1, 4, 5}, {} [P^2*x^7+4*P^2*x^6+8*P^2*x^5-2*P*x^6+9*P^2*x^4-6*P*x^5+2*P^2*x^3-10*P*x^4+x^5-4 *P^2*x^2-5*P*x^3+2*x^4-2*P^2*x+6*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, ((x^3+x ^2-x)*C-x^3-x^2-x+1)/((x^4+2*x^3+x^2-x)*C-x^4-2*x^3-2*x^2-x+1), {-3*n*(n-3)*a(n )+36*(n-1)*(n-4)*a(n-1)+(-137*n^2+981*n-1420)*a(n-2)+(102*n^2-1218*n+2808)*a(n-\ 3)+(371*n^2-3141*n+6376)*a(n-4)+(-340*n^2+4968*n-16088)*a(n-5)+(-712*n^2+7008*n -16016)*a(n-6)+(243*n^2-5865*n+27720)*a(n-7)+(660*n^2-8820*n+27216)*a(n-8)+(93* n^2+2799*n-31332)*a(n-9)+(-25*n^2+2757*n-22340)*a(n-10)+(444*n^2-10200*n+59160) *a(n-11)+(720*n^2-17316*n+103800)*a(n-12)+(521*n^2-12597*n+76060)*a(n-13)+(210* n^2-5190*n+31920)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a (3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 197, a(9) = 523, a( 10) = 1426, a(11) = 4002, a(12) = 11579, a(13) = 34559, a(14) = 106344, a(15) = 336837}, [0, 1, 2, 5, 12, 30, 76, 197, 523, 1426, 4002, 11579, 34559, 106344, 336837, 1095490, 3647443, 12393726, 42848989, 150321625, 533851945, 1915489237, 6932530223, 25274525040, 92723429331, 342008107834, 1267418081254, 4716199106469, 17613648049310, 65996718398603, 248010185861190, 934482008499612 , 3529589434569754, 13361061169018843, 50680915887301144, 192604942373556600, 733247357929555155, 2796024491510877929, 10678044452815524872, 40837624899104840964, 156390032465999095308, 599657038437377335983, 2302028138288998647160, 8847151082633559721933, 34037299739496653931659, 131081515295140369740931, 505289499281222479690832, 1949534976820780288456193, 7528262098345286094362554, 29094691148903361976557993], 24804208186403277558123\ 5847611291776974047569236476392901625547339427447524094819164487588468807716377\ 4840720343475660856118356770512888601016002289132168909257191541517364292751247\ 1982114274303862624917120718139247056499234263040506765988021115386756479386783\ 6351947790444145312659080091860676331211940706227888964143038357995974452714545\ 6985886859374080568514039382171106242859278149235120041342536682089509558578173\ 8577459623933727741685737894945820186760265801762491059009874555048156173105852\ 7815954167256416269717634435617727280277721700657172062452038235885557481605386\ 76614892557798332262] ---------------------------- (A,B)= , {1, 4, 5}, {1} [P^2*x^7+2*P^2*x^6+3*P^2*x^5+P^2*x^4-3*P^2*x^3-2*P^2*x^2+3*P*x^3+2*P*x^2+P^2-2* P+1, (-C*x+1)/((x^4+x^3-x)*C-x^4-x^3-x^2+1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56) *a(n-1)+(-49*n^2+393*n-596)*a(n-2)+(-53*n^2+363*n-544)*a(n-3)+(50*n^2-678*n+ 1768)*a(n-4)+(214*n^2-1770*n+3356)*a(n-5)+(5*n^2+231*n-1124)*a(n-6)+(-213*n^2+ 2313*n-6252)*a(n-7)+(-129*n^2+1341*n-3576)*a(n-8)+(-396*n+2316)*a(n-9)+2*(34*n-\ 247)*(n-8)*a(n-10)+(45*n^2-675*n+2544)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 28, a(9) = 72, a(10) = 204, a(11) = 619, a(12) = 1975}, [0, 1, 1, 2, 3, 6, 12, 28, 72, 204, 619, 1975, 6526, 22115, 76360, 267508, 948072, 3392274, 12235781, 44439090, 162367743, 596376357, 2200739691, 8155097310, 30333326624, 113210383786, 423832515490, 1591212457928, 5989446109497, 22598554236509, 85453795091376, 323793934453275, 1229221510645600, 4674762606276636, 17807641301400109, 67939912747228352, 259581591375448550, 993151322746176433, 3804654249823908926, 14592904222104524457, 56035875417681879055, 215408050417019098196, 828904623918092568194, 3192798018155131889726, 12309534942818751118285, 47500233680604887750073, 183449149714961631421099, 709062827916501592273286, 2742755708253448648324090, 10617158477341771971403615 ], 9629983167218046997804126378307287583481799759270507248947151778625570799089\ 8008701517109490952087086443849429168972388084221323319549048571555793332982556\ 6296752382572708413970579097511258918569713166029066859763287320254160238622258\ 2028812624679653996906578299344713967337093903049160566958918022853698130237339\ 1478652153250696868208903522409143441196013131095992899371830889442302945039862\ 6844628309770904169900429131728966964348144620815192692355188661138404256120948\ 1682498875804518445264339416063007877127920651729417778570446342599713506317075\ 099063209151959781785512711120298189192262571] ---------------------------- (A,B)= , {1, 4, 5}, {2} [4*P^2*x^7+16*P^2*x^6+22*P^2*x^5-8*P*x^6+9*P^2*x^4-20*P*x^5-8*P^2*x^3-12*P*x^4+ 4*x^5-8*P^2*x^2+9*P*x^3+4*x^4+P^2*x+14*P*x^2-x^3+P^2-2*P*x-6*x^2-2*P+x+1, ((2*x ^3-x)*C-2*x^3-x^2+1)/((2*x^4+3*x^3-x)*C-2*x^4-4*x^3-2*x^2+1), {-3*n*(n-3)*a(n)+ 3*(n-1)*(7*n-32)*a(n-1)+(17*n^2+9*n-92)*a(n-2)+(-309*n^2+2361*n-4236)*a(n-3)+( 84*n^2-1572*n+4848)*a(n-4)+(1463*n^2-14901*n+37456)*a(n-5)+(-299*n^2+8565*n-\ 39244)*a(n-6)+(-2708*n^2+32328*n-92536)*a(n-7)+(-543*n^2-8163*n+90240)*a(n-8)+( 1510*n^2-21924*n+65312)*a(n-9)+(-576*n^2+35988*n-291648)*a(n-10)+(-692*n^2+ 23940*n-166816)*a(n-11)+(3584*n^2-85896*n+515104)*a(n-12)+(5632*n^2-136992*n+ 831296)*a(n-13)+(3168*n^2-78720*n+486528)*a(n-14)+320*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 20, a(7) = 45, a(8) = 105, a(9) = 252, a(10) = 630, a(11) = 1650, a(12) = 4545, a(13) = 13179, a(14 ) = 40103, a(15) = 127313}, [0, 1, 2, 4, 9, 20, 45, 105, 252, 630, 1650, 4545, 13179, 40103, 127313, 418662, 1416045, 4896010, 17219364, 61371538, 221043855, 802897137, 2936671333, 10803806833, 39944345552, 148322182309, 552846683578, 2067618126199, 7756298012179, 29176490700604, 110027356403260, 415878782575705, 1575261094354102, 5978454270243052, 22730800540680025, 86571627325833960, 330234714842686762, 1261572747784353850, 4826192593019677367, 18486886923328329591, 70901745267241281923, 272241365954575118267, 1046472687564738369200, 4026734922305976664099, 15509803505288582328076, 59795181634965765647923, 230734665279823586196371, 891102853171687689580406, 3444244847920692356484536, 13322798049886375957624637], 11746833563555093055531\ 6161822187364205279241637748847762488395955721707396614694638063948242965206878\ 8071314250990171690285278611657010090124672636056268771507105620392311028300019\ 4037320518081920962077041570467416971755656220535882948093920477052079070437970\ 6288284602226452647196915564875225059308424154532795578915525594168946779224644\ 7243628926066944990507173796343177715571687713758094388080889531707128224939894\ 0459128577180031245318569280227186286141025392335859891231565522705986885125551\ 9144052460293230617088928152939518275794757935712655203998929536129238010263095\ 76936512291156347923] ---------------------------- (A,B)= , {1, 4, 5}, {3} [9*P^2*x^3+6*P*x^4+x^5+4*P^2*x^2-11*P*x^3-4*x^4-8*P^2*x-12*P*x^2+2*x^3+2*P^2+16 *P*x+8*x^2-4*P-8*x+2, ((-x^3+2*x^2-x)*C+x^3-2*x^2-x+1)/((2*x^2-x)*C-3*x^2-x+1), {6*n*(n-3)*a(n)-4*(n-1)*(23*n-88)*a(n-1)+(546*n^2-3618*n+5064)*a(n-2)+(-1537*n^ 2+13083*n-25568)*a(n-3)+(1874*n^2-20514*n+52720)*a(n-4)+(-99*n^2+5541*n-26460)* a(n-5)+(-1518*n^2+15762*n-38520)*a(n-6)+(568*n^2-7176*n+21416)*a(n-7)+(165*n^2-\ 2826*n+12192)*a(n-8)+54*(2*n-19)*(n-10)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 197, a(9) = 522}, [0, 1, 2 , 5, 12, 30, 76, 197, 522, 1418, 3956, 11354, 33554, 102104, 319608, 1027237, 3381714, 11371366, 38946892, 135505958, 477781296, 1703671604, 6132978608, 22256615602, 81327116484, 298938112816, 1104473254912, 4098996843500, 15272792557230, 57106723430892, 214202598271360, 805743355591301, 3038709078709154, 11486931162479046, 43516779411950476, 165186096907176718, 628187703779771768, 2393025135025821876, 9130530443915099368, 34889126031530007510, 133502232292984504044, 511510221504763404700, 1962248040156187477112, 7536275193435038885260, 28975767992475294332676, 111522620358280477892800, 429652446680256323752528, 1656823649834823861271490, 6394696841405144683690164, 24701868411656364250354460], 20670412668886880369756\ 3910149471018410234909842802737016787369047592453889344231097327913839553160879\ 4687230214115530033886449306276221896353140574532159508775796063470529611260959\ 2144071253268740768799255124085451336918167481318568624733934344796469997551670\ 2883222836399602578856381288493701719034006469505607829914422306374486956583287\ 2041369279237638190273042265799873666715328419471743355677559471528370396537756\ 5610245595446381397669713773302812316599268658590767198187450526395827097523494\ 9128885808098262038828107970983945938278351059640565522239761328534386859547960\ 91555906875131572960] ---------------------------- (A,B)= , {1, 4, 5}, {4} [P^2*x^8+2*P^2*x^7+P^2*x^6-2*P*x^7+3*P^2*x^5-P^2*x^4-2*P*x^5+x^6-2*P^2*x^3-3*P* x^4-2*x^5+7*P^2*x^2+10*P*x^3+5*x^4-5*P^2*x-16*P*x^2-8*x^3+P^2+10*P*x+9*x^2-2*P-\ 5*x+1, ((x^3-x^2)*C-x^3+x^2-2*x+1)/((x^4+x^3-x^2)*C-x^4-x^3-2*x+1), {-4*n*(n-4) *a(n)+3*(n-1)*(23*n-110)*a(n-1)+(-491*n^2+3689*n-5430)*a(n-2)+(1870*n^2-17236*n +35100)*a(n-3)+(-4135*n^2+45211*n-115830)*a(n-4)+(5352*n^2-68250*n+210240)*a(n-\ 5)+(-3725*n^2+56321*n-207150)*a(n-6)+(667*n^2-17455*n+91146)*a(n-7)+(1082*n^2-\ 10364*n+13560)*a(n-8)+(-929*n^2+10235*n-17058)*a(n-9)+(284*n^2+982*n-39372)*a(n -10)+(72*n^2-4494*n+46044)*a(n-11)+(-165*n^2+2403*n-10782)*a(n-12)+(-7*n^2+1279 *n-13494)*a(n-13)+(102*n^2-3096*n+23112)*a(n-14)+(7*n-114)*(n-19)*a(n-15)+(58*n ^2-1762*n+13260)*a(n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a( 3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 196, a(9) = 515, a(10 ) = 1381, a(11) = 3786, a(12) = 10631, a(13) = 30624, a(14) = 90595, a(15) = 275325, a(16) = 859160, a(17) = 2749395}, [0, 1, 2, 5, 12, 30, 76, 196, 515, 1381, 3786, 10631, 30624, 90595, 275325, 859160, 2749395, 9005544, 30122583, 102638453, 355387718, 1247616329, 4431646136, 15899862213, 57533730484, 209708740233, 769187885785, 2836649215499, 10510804382123, 39108896353111, 146055799157884, 547260290492623, 2056631320453400, 7749680133265215, 29273264325629470, 110822585114110669, 420413566487454985, 1597893701088745805, 6083889768634733527, 23201898152507215853, 88618964725363399356, 338959654628885441253, 1298222055823231734198, 4978456683322088430149, 19114088556912625074360, 73467743893654797777646, 282681679289571797033098, 1088760236544806276303125, 4197378993254475084695124, 16196266140888442641888429], 12992757516632071584455864300548661351230676016613\ 2912152098272202107440091513179561656059746331462270716725352226370573943661935\ 9411352912457224235786854058202914665431939131592834216245358122658579146038732\ 9005828814387793572830092147567380115539456791072501284549571061289036097047436\ 1294890724685963617674037402588816987435652081049347935462114613770575534739655\ 8164570737998582192604088088853409136655979339274788082752932982562694004503415\ 8240440886724268636117942650568833440930271506782574227053367158605572371970620\ 382306507763735158985866310857419286948384316066439689848331066108726844] ---------------------------- (A,B)= , {1, 4, 5}, {5} [P^2*x^9+4*P^2*x^8+6*P^2*x^7-2*P*x^8+P^2*x^6-6*P*x^7-7*P^2*x^5-4*P*x^6+x^7-5*P^ 2*x^4+7*P*x^5+2*x^6+6*P^2*x^3+10*P*x^4-x^5+5*P^2*x^2-6*P*x^3-4*x^4-5*P^2*x-12*P *x^2+P^2+10*P*x+7*x^2-2*P-5*x+1, ((x^4+x^3-x^2)*C-2*x+1)/((x^5+2*x^4+x^3-x^2)*C -x^2-2*x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(29*n-168)*a(n-1)+(-611*n^2+5239*n-8064)* a(n-2)+(2170*n^2-22592*n+48672)*a(n-3)+(-3810*n^2+47700*n-132120)*a(n-4)+(1834* n^2-31616*n+117936)*a(n-5)+(3581*n^2-46795*n+145404)*a(n-6)+(-3651*n^2+65835*n-\ 280596)*a(n-7)+(-2687*n^2+34507*n-99396)*a(n-8)+(2851*n^2-59549*n+297912)*a(n-9 )+(2163*n^2-27813*n+62292)*a(n-10)+(-1071*n^2+28497*n-173412)*a(n-11)+(-1042*n^ 2+11906*n+5964)*a(n-12)+(-94*n^2-3406*n+50256)*a(n-13)+(-151*n^2+8003*n-82416)* a(n-14)+(-165*n^2+7167*n-68028)*a(n-15)+(270*n^2-8322*n+64368)*a(n-16)+(417*n^2 -13425*n+107928)*a(n-17)+(210*n^2-6870*n+56040)*a(n-18)+20*(2*n-31)*(n-18)*a(n-\ 19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 75, a(8) = 190, a(9) = 486, a(10) = 1257, a(11) = 3291, a(12) = 8737, a(13) = 23569, a(14) = 64759, a(15) = 181688, a(16) = 521741, a(17) = 1536534, a(18) = 4646630, a(19) = 14434275}, [0, 1, 2, 5, 12, 30, 75, 190, 486, 1257, 3291, 8737 , 23569, 64759, 181688, 521741, 1536534, 4646630, 14434275, 46029570, 150453142 , 502964294, 1715262424, 5951463787, 20955975009, 74710337176, 269137343019, 978041663003, 3580378421742, 13188602045199, 48839444844325, 181687498948676, 678583218186398, 2543282875006379, 9561533057488223, 36046199537466109, 136229729160185297, 516017952593434317, 1958633441172876371, 7448414467550813562, 28374837703120349798, 108269544671158737749, 413745848892037281599, 1583331721439879625511, 6067114849957780847810, 23277138662137288673699, 89409247504828746911666, 343804893712857452193807, 1323403463690074185725991, 5099165721879318929966230], 388112988351419434669095\ 1001138566138504824501730350425549774755021931227733853247574707519986542387767\ 1566468246386096876407440068770948782565579138897399743051359252580388437339820\ 6381048648303776228026287811085327959460114375182863106131854508641412316356499\ 8547348929186341389719954038382249317766647190435993483485474206017582427206832\ 7331985330795073076686658341558977467306463365083610275215734134461614298356054\ 2956908073010089702310878190807906426434431567716827627063229923324829424438060\ 0860234556374490839280158458734108066203661365550367182375751296342948096990223\ 949179509356988238] ---------------------------- (A,B)= , {1, 4, 5}, {1, 2} [4*P^2*x^7+8*P^2*x^6+2*P^2*x^5-7*P^2*x^4+4*P*x^5-8*P^2*x^3+8*P*x^4+7*P*x^3+3*P^ 2*x-2*P*x^2+x^3+P^2-6*P*x+2*x^2-2*P+3*x+1, ((-x^2-x)*C+x^2+x+1)/((2*x^4+x^3-x^2 -x)*C-2*x^4-2*x^3+x+1), {3*n*(n-3)*a(n)-(n-1)*(11*n-64)*a(n-1)+(-57*n^2+327*n-\ 420)*a(n-2)+(95*n^2-1011*n+2116)*a(n-3)+(504*n^2-4680*n+10608)*a(n-4)+(179*n^2-\ 1569*n+4048)*a(n-5)+(-1057*n^2+11487*n-30644)*a(n-6)+(-1132*n^2+11496*n-27416)* a(n-7)+(447*n^2-7917*n+36288)*a(n-8)+(1266*n^2-15168*n+46272)*a(n-9)+(212*n^2+ 2160*n-31808)*a(n-10)+(-572*n^2+11868*n-61600)*a(n-11)+(-64*n^2+552*n+640)*a(n-\ 12)+80*(n-11)*(5*n-56)*a(n-13)+96*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 3, a(7) = 5, a(8) = 12, a(9) = 30, a(10 ) = 87, a(11) = 273, a(12) = 893, a(13) = 3013, a(14) = 10374}, [0, 1, 1, 1, 2, 3, 5, 12, 30, 87, 273, 893, 3013, 10374, 36257, 128234, 457963, 1648963, 5979203, 21813845, 80012680, 294890199, 1091483208, 4055487189, 15120958639, 56557331848, 212154760856, 797933805463, 3008427949482, 11368156885868, 43047329746532, 163321670733809, 620762120158093, 2363406932405265, 9012324443517866, 34417366576518071, 131620126376054322, 504005820171374795, 1932347040600935997, 7417224888274796350, 28502130149369931798, 109639660921765692871, 422171975237426388106, 1627125510829018885694, 6276865008188513962636, 24234616868123331047893, 93644871251417904293789, 362134834721607766061247, 1401458154447486509543855, 5427496114274961528537070] , 50184493913843776537342009997302910535548554702695769239004374546383338193819\ 8494110640653862397882368729629259498393499984004432321523485148807585101226721\ 3333272886116091860126614563587519874678716673735113006309552108337883070391150\ 6082212859962690872320594607979193768472159449945250941939478645801409593747359\ 7065505568088709363443117980998114538382701794884584994220183750039812058544528\ 2624850067055577168667424621435182975637309280284442434810356596757717254872740\ 6465997692030776796472356290966897877138346894330833943976962981222622492411685\ 56185892042782189321826197228122965023564082] ---------------------------- (A,B)= , {1, 4, 5}, {1, 3} [4*P^2*x^3+4*P*x^4+x^5-P^2*x^2-5*P*x^3-2*x^4-4*P^2*x-2*P*x^2+x^3+2*P^2+8*P*x+3* x^2-4*P-4*x+2, ((-x^3+x^2-x)*C+x^3-x^2+1)/((x^2-x)*C-2*x^2+1), {12*n*(n-3)*a(n) -144*(n-1)*(n-4)*a(n-1)+(604*n^2-4176*n+5960)*a(n-2)+(-996*n^2+8988*n-18288)*a( n-3)+(297*n^2-4989*n+16188)*a(n-4)+(842*n^2-6726*n+11440)*a(n-5)+(-701*n^2+7335 *n-17776)*a(n-6)+(12*n^2+258*n-2928)*a(n-7)+(16*n^2-192*n+464)*a(n-8)+32*(2*n-\ 19)*(n-10)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 28, a(9) = 71}, [0, 1, 1, 2, 3, 6, 12, 28, 71, 198, 590, 1852, 6034, 20212, 69130, 240304, 846199, 3011510, 10812934, 39118060, 142441962, 521636436, 1919889328, 7097773160, 26345351622, 98141092988, 366789122292, 1374910161496, 5167905898888, 19473365170016, 73547638424486, 278370123511384, 1055688444220663, 4010959924394198, 15265341843489414, 58191819199258700, 222162454677595266, 849362156342706436, 3251564649079343736, 12463384659905076904, 47829229493975283986, 183753953413247769652, 706708438118660927684, 2720698915094241226632, 10484203438240266444812, 40437554413742553627192, 156102552318959433853876, 603105534764807958175744, 2331946163900234562650902, 9023404346311540931705084], 805214134665229656402040\ 7180252255388033056440746559453804940119590982064356381089645848817755670203040\ 9400816945889623051008703395882141289481473749763921835179458909605005824013814\ 1631628158421800041610201017314225638580785539873431406413393635092519914629332\ 5534874739254523567976567527629063568484541021566002676278637313464063182147055\ 5007818777585027880806529128989931854396092488337573473951674829002274079846893\ 3732836128822248534856883401910579929125081756253473905737565543958962704226511\ 0901089469570616251228549688881249748488351203314499837333669986579558854051376\ 612475002052742272] ---------------------------- (A,B)= , {1, 4, 5}, {1, 4} [P^2*x^8+P^2*x^5+2*P*x^6-3*P^2*x^4-2*P*x^5+2*P^2*x^3+3*P*x^4+2*P^2*x^2+x^4-3*P^ 2*x-6*P*x^2-2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/((x^4-x^2)*C-x^4- x+1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n-1)+(293*n^2-2261*n+3366)*a(n-2)+(-\ 768*n^2+7314*n-15228)*a(n-3)+(1000*n^2-11728*n+31752)*a(n-4)+(-357*n^2+6735*n-\ 26298)*a(n-5)+(-725*n^2+6377*n-10638)*a(n-6)+(1056*n^2-12450*n+34164)*a(n-7)+(-\ 492*n^2+5664*n-12144)*a(n-8)+(-53*n^2+1763*n-14274)*a(n-9)+(174*n^2-1884*n+5952 )*a(n-10)+(-112*n^2-176*n+10416)*a(n-11)+(26*n^2+694*n-9612)*a(n-12)+(26*n^2-\ 674*n+4380)*a(n-13)-4*(n-10)*(n-9)*a(n-14)+(-22*n^2+526*n-3132)*a(n-15)+12*(2*n -25)*(n-14)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 27, a(9) = 66, a(10) = 176, a(11) = 503, a(12) = 1521, a (13) = 4803, a(14) = 15679, a(15) = 52506, a(16) = 179373}, [0, 1, 1, 2, 3, 6, 12, 27, 66, 176, 503, 1521, 4803, 15679, 52506, 179373, 622583, 2188949, 7778711, 27892006, 100781941, 366577764, 1341118776, 4931618042, 18217412700, 67569793886, 251542883667, 939539694823, 3519917714804, 13223659780078, 49805135331471, 188023946503413, 711364197074390, 2696760136036314, 10242430826376308, 38969007016618370, 148505252729083017, 566794705464757279, 2166360366260360966, 8291243243577678957, 31773053360116810164, 121903939288825245516, 468239131408583409017, 1800457181015297973616, 6930091855511612389120, 26700173503125866705219, 102964499442798887969994, 397411287984600790214878, 1535162682987108976765828, 5934902852898352809662481] , 50987315897627265313853382338445524198536940866995607191404239454675979870991\ 8043353083548062754499312714745123146566182743851567591019674717030330606754323\ 0783049095177063342037161133328124321319065896967656886703915234284039291210171\ 5982940583756952647917441954484313969200221971526840982808857370461314732859318\ 7988489152195683335939512190206705731211295743569256637657745097805232977263372\ 9113065130545605585792329143550609995669291252347629128431087869225312443461958\ 8025330315857384971905567067340908691159021026966014241562391904824613485272617\ 57487818084731303439857835440494691376733816] ---------------------------- (A,B)= , {1, 4, 5}, {1, 5} [P^2*x^9+2*P^2*x^8+P^2*x^7-3*P^2*x^6-4*P^2*x^5+2*P*x^6+P^2*x^4+3*P*x^5+5*P^2*x^ 3-6*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x^4 -x^2)*C-x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(355*n^2-3125*n+ 4860)*a(n-2)+(-790*n^2+8594*n-19044)*a(n-3)+(445*n^2-6887*n+22032)*a(n-4)+(1005 *n^2-11355*n+28860)*a(n-5)+(-1142*n^2+17926*n-65124)*a(n-6)+(-861*n^2+10197*n-\ 27456)*a(n-7)+(985*n^2-18377*n+81012)*a(n-8)+(906*n^2-12102*n+36756)*a(n-9)+(-\ 476*n^2+10492*n-53736)*a(n-10)+(-631*n^2+10391*n-40500)*a(n-11)+(-44*n^2-950*n+ 12144)*a(n-12)+(268*n^2-4970*n+22512)*a(n-13)+(86*n^2-1300*n+3864)*a(n-14)-24*( n-11)*(n-13)*a(n-15)+(-2*n^2+4*n+288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 50, a(10) = 118, a(11) = 298, a(12) = 807, a(13) = 2321, a(14) = 7028, a (15) = 22184, a(16) = 72375, a(17) = 242331}, [0, 1, 1, 2, 3, 6, 11, 23, 50, 118, 298, 807, 2321, 7028, 22184, 72375, 242331, 828178, 2876929, 10126784, 36035551, 129399388, 468248039, 1705661263, 6248967196, 23010129365, 85109096146, 316061379107, 1177959928845, 4404578093971, 16518280554003, 62115671945747, 234162075434391, 884760842720176, 3350071006990813, 12709665138661761, 48306606136291150, 183915257329151422, 701325478485433911, 2678357436642158878, 10242948584961814414, 39224103156182860084, 150390287411204209890, 577291596337676684547, 2218460864424414280959, 8534223499388024748548, 32863101155431059452495, 126667069929914508081114, 488663059523285908600411, 1886806205690713252311255], 1542906963630686267450218\ 8985118391381956923295048700829987985610131359642355242464763797938002743982283\ 4249411385689290256827837014226194197868273970034908584937466280738186094182318\ 0997153298060249599362080585947624985383497369146285933789568881074380813655693\ 1449373360813682017810296722659181105210311351112661719336894313144872605266246\ 6732106857636074275892537183223215802545062713210325688125410472508312241442993\ 2633441197903993835782473251670064842319758125020907664058871493627540383986537\ 3531893130482993821772720301409305651517845252700702723063218713778357580508073\ 70024575474656702] ---------------------------- (A,B)= , {1, 4, 5}, {2, 3} [P^2*x^9-6*P^2*x^7-2*P*x^8-5*P^2*x^6+2*P*x^7+11*P^2*x^5+10*P*x^6+x^7+19*P^2*x^4 -2*P*x^5-2*x^6+3*P^2*x^3-22*P*x^4-3*x^5-9*P^2*x^2-9*P*x^3+5*x^4-3*P^2*x+14*P*x^ 2+6*x^3+2*P^2+6*P*x-5*x^2-4*P-3*x+2, ((x^4-x^3-x^2+x)*C-x^4+x^3+2*x^2-1)/((x^5-\ 2*x^3-x^2+x)*C-x^5+3*x^3+3*x^2-1), {-12*n*(n-3)*a(n)+2*(n-1)*(67*n-272)*a(n-1)+ (-438*n^2+3228*n-4728)*a(n-2)+(37*n^2-1743*n+5180)*a(n-3)+(1717*n^2-15387*n+ 33140)*a(n-4)+(-655*n^2+13173*n-48740)*a(n-5)+(-3477*n^2+34239*n-77868)*a(n-6)+ (494*n^2-19284*n+101296)*a(n-7)+(3018*n^2-25686*n+10008)*a(n-8)+(180*n^2+15102* n-127500)*a(n-9)+(1140*n^2-46728*n+355308)*a(n-10)+(2467*n^2-65973*n+403736)*a( n-11)+(-2280*n^2+70050*n-510324)*a(n-12)+(-4201*n^2+109695*n-707696)*a(n-13)+( 279*n^2-14577*n+144672)*a(n-14)+(2311*n^2-64671*n+450908)*a(n-15)+(334*n^2-7890 *n+44072)*a(n-16)+(-597*n^2+17787*n-131256)*a(n-17)+(-94*n^2+2706*n-19088)*a(n-\ 18)+36*(2*n-27)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5 ) = 9, a(6) = 20, a(7) = 45, a(8) = 105, a(9) = 251, a(10) = 624, a(11) = 1619, a(12) = 4406, a(13) = 12598, a(14) = 37778, a(15) = 118262, a(16) = 384032, a( 17) = 1284963, a(18) = 4402982, a(19) = 15371314}, [0, 1, 2, 4, 9, 20, 45, 105, 251, 624, 1619, 4406, 12598, 37778, 118262, 384032, 1284963, 4402982, 15371314, 54454465, 195157994, 705957404, 2573198707, 9438873166, 34809846049, 128972825398, 479795945844, 1791329731515, 6709506618068, 25203749541718, 94925761185324, 358384295514549, 1356046915128131, 5141466711973433, 19530820677965359, 74321948788488469, 283285952039413667, 1081428679137316931, 4134221432097323149, 15826127786560292542, 60660532264855248775, 232786046804687822749, 894330608236956014815, 3439563078012256900021, 13241836498997659291673, 51028233611833867754592, 196820134612769944099971, 759811770237079716662072, 2935636065661525555575954, 11351194467603279050113743 ], 9858104338444375259302220838474156341385378229103452018344682302853768897749\ 2667720122332009052764401192023706576888695173962997334521988214993552122874789\ 4214059587649802592229713817455833247669205163855863353530570104057631940095560\ 7051648843780653029667319834519823462463256048224586780293342186945036252984842\ 4741083989907939034711344412090696422014805076900915057340087461909832599386121\ 4968802749322580715183956337927926582271447655493146787856557694173160930490785\ 6192744560930395560199530209542417490978925441213315452658888143389338083970821\ 596720256887653382284551751885979974402315539] ---------------------------- (A,B)= , {1, 4, 5}, {2, 4} [P^2*x^8+4*P^2*x^7+5*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6+P^2*x^4-2*P*x^5+x^6-P*x^ 4+P^2*x^2+2*P*x^3+x^4-3*P^2*x-4*P*x^2-2*x^3+P^2+6*P*x+3*x^2-2*P-3*x+1, ((x^3-x^ 2)*C-x^3-x+1)/((x^4+x^3-x^2)*C-x^4-2*x^3-x^2-x+1), {-4*n*(n-4)*a(n)+5*(n-1)*(11 *n-54)*a(n-1)+(-287*n^2+2225*n-3318)*a(n-2)+(710*n^2-6800*n+14196)*a(n-3)+(-863 *n^2+9875*n-26382)*a(n-4)+(532*n^2-7018*n+22680)*a(n-5)+(-219*n^2+3435*n-12978) *a(n-6)+(-31*n^2+19*n+1542)*a(n-7)+(-6*n^2-1848*n+14328)*a(n-8)+(153*n^2-1971*n +3258)*a(n-9)+(194*n^2+4*n-16368)*a(n-10)+(-20*n^2+170*n+2100)*a(n-11)+(-41*n^2 +647*n-2742)*a(n-12)+(35*n^2-1115*n+8934)*a(n-13)+(176*n^2-5138*n+37260)*a(n-14 )+(287*n^2-8183*n+58230)*a(n-15)+(186*n^2-5394*n+38940)*a(n-16)+20*(2*n-27)*(n-\ 16)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 20, a (7) = 45, a(8) = 104, a(9) = 246, a(10) = 600, a(11) = 1518, a(12) = 4004, a(13 ) = 11052, a(14) = 31956, a(15) = 96603, a(16) = 303993, a(17) = 990088}, [0, 1 , 2, 4, 9, 20, 45, 104, 246, 600, 1518, 4004, 11052, 31956, 96603, 303993, 990088, 3317367, 11371188, 39689248, 140530268, 503320382, 1819483274, 6627738638, 24297139552, 89557787493, 331656562627, 1233266913348, 4602616741109, 17233160558614, 64714071946193, 243662764360429, 919678944301642 , 3478992755809183, 13187594463674612, 50084812157571700, 190553134029999227, 726178287485809451, 2771663437995161610, 10594132583537768193, 40548951505689970700, 155399035137179713008, 596265525879159322214, 2290470602547044185138, 8807988391308213021660, 33905583778404088091898, 130642837273217200664154, 503847354951856147193451, 1944876474254948382993363, 7513577558786519309955926], 629265167030196156149374121386714839433276422516813\ 8659243223911621740689443785903134156141778265579767125974892738824803667293692\ 7740782248961699485617345641720973488473578534343735722300401811977302733023917\ 8428015669490894051869726973031098112237046198923142612134485280585594135612662\ 0137805037646317003681189642313321298247161766857937706250630782763312147239260\ 1352629334690691071471566029775801472928612539706580592761311639871207796927057\ 2102124243572379249685185114843438879851459728674746548756979006099405506449320\ 4703174253778563081067762547737060804199758424293934909760103829979938] ---------------------------- (A,B)= , {1, 4, 5}, {2, 5} [4*P^2*x^9+12*P^2*x^8+7*P^2*x^7-8*P*x^8-10*P^2*x^6-12*P*x^7-10*P^2*x^5+8*P*x^6+ 4*x^7+6*P^2*x^4+17*P*x^5+8*P^2*x^3-4*P*x^4-6*x^5-2*P^2*x^2-14*P*x^3-x^4-3*P^2*x +2*P*x^2+6*x^3+P^2+6*P*x-2*P-3*x+1, ((2*x^4-x^2)*C-x^2-x+1)/((2*x^5+3*x^4-x^2)* C-x^3-2*x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)+(-339*n^2+3009*n-\ 4692)*a(n-2)+(589*n^2-6713*n+15180)*a(n-3)+(428*n^2-3190*n+4704)*a(n-4)+(-2274* n^2+29946*n-91968)*a(n-5)+(147*n^2-9453*n+53940)*a(n-6)+(4622*n^2-67126*n+ 238524)*a(n-7)+(-850*n^2+29120*n-175296)*a(n-8)+(-6193*n^2+94439*n-343716)*a(n-\ 9)+(622*n^2-31220*n+229056)*a(n-10)+(5114*n^2-74722*n+208152)*a(n-11)+(198*n^2+ 15750*n-182904)*a(n-12)+(-1267*n^2+593*n+199092)*a(n-13)+(300*n^2-25338*n+ 272664)*a(n-14)+(-1916*n^2+65476*n-550752)*a(n-15)-408*(n-15)*(5*n-88)*a(n-16)+ (1376*n^2-45712*n+378336)*a(n-17)+(2144*n^2-70912*n+584448)*a(n-18)+320*(2*n-31 )*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 20, a(7) = 44, a(8) = 100, a(9) = 228, a(10) = 530, a(11) = 1258, a(12) = 3063, a(13) = 7702, a(14) = 20114, a(15) = 54828, a(16) = 156422, a(17) = 466948, a( 18) = 1453964, a(19) = 4697847}, [0, 1, 2, 4, 9, 20, 44, 100, 228, 530, 1258, 3063, 7702, 20114, 54828, 156422, 466948, 1453964, 4697847, 15655511, 53490698, 186411954, 659806652, 2364177012, 8554294478, 31197694739, 114522932108, 422708425200, 1567553871228, 5836728148206, 21810740919724, 81762667463084, 307385708199811, 1158616487953677, 4377482106942693, 16574975349200617, 62885655654520966, 239031924372676222, 910141126889716394, 3471037065251190079, 13257508195509276008, 50707907536137246801, 194206386762296656324, 744717671481013916658, 2859100480917006509672, 10988759827678629187338, 42278898420725447040091, 162828582329541108829535, 627693652511301528602552, 2421891707347536588713398], 193154491946648186690818698554914550576757046046335\ 7080807237932259071949156333359188200262962940416458235076247764190957027569693\ 1112748116194462150118499745939309411621384695161991140918882862222474219482873\ 5990082656275687654882767784050053305596086378541355864096978129713071642840004\ 1893520510427594692529458944286646948416809057426878897682545094845999670474563\ 5610921169881202664421189595525486409486462846375184993753268347129837771697039\ 3942646558604155562407781983749306391454882226797127421634833288202857406404185\ 2278656716495981249263221241946321997293285592894766818073973274283295] ---------------------------- (A,B)= , {1, 4, 5}, {3, 4} [P^2*x^6-2*P^2*x^5-2*P*x^6-2*P^2*x^4+2*P*x^5+x^6+8*P^2*x^3+7*P*x^4+P^2*x^2-12*P *x^3-4*x^4-4*P^2*x-4*P*x^2+4*x^3+P^2+8*P*x+3*x^2-2*P-4*x+1, (C*x^3-x^3+2*x-1)/( C*x^3-x^3+x^2+2*x-1), {-2*n*(n-4)*a(n)+(n-1)*(31*n-150)*a(n-1)+(-184*n^2+1414*n -2100)*a(n-2)+(494*n^2-4796*n+10044)*a(n-3)+(-420*n^2+5604*n-16152)*a(n-4)+(-\ 671*n^2+6155*n-13134)*a(n-5)+(1460*n^2-18680*n+58824)*a(n-6)+(-290*n^2+5204*n-\ 21924)*a(n-7)+(-858*n^2+12462*n-45108)*a(n-8)+(384*n^2-5820*n+21504)*a(n-9)+(30 *n^2-24*n-2880)*a(n-10)+(6*n^2-990*n+10260)*a(n-11)+(16*n^2-262*n+852)*a(n-12)- (5*n-62)*(7*n-93)*a(n-13)+6*(2*n-25)*(n-14)*a(n-14) = 0, a(1) = 0, a(2) = 1, a( 3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 76, a(8) = 196, a(9) = 514, a(10 ) = 1373, a(11) = 3742, a(12) = 10426, a(13) = 29752, a(14) = 87086}, [0, 1, 2, 5, 12, 30, 76, 196, 514, 1373, 3742, 10426, 29752, 87086, 261696, 807431, 2555966, 8289015, 27482898, 92940862, 319791198, 1116888067, 3950860734, 14128046980, 50988324292, 185465049004, 679145765928, 2501311961383, 9258567716706, 34420517879081, 128458594486278, 481054319654005, 1806983106437704, 6806308426088146, 25701302199789156, 97272276871195240, 368919019011031974, 1401875040732260213, 5336555209243494622, 20348419988776644391, 77708604095430120002, 297188674886233010139, 1138100539807235944522, 4363938098664553626136, 16753046990996776621894, 64386810276477113055175, 247719989062791198338278, 954029137853856165114662, 3677698069373328675318548, 14190036857650660248435028], 11363612089820120766965\ 8138737865245040772608611666687512110677672695897833365891002506994723678688550\ 5770772803167029418105665538311669208137526906923421761958326676204000965837663\ 4045776565745313823722187567104180213056012901079908586676155177891940973079968\ 6674026265638502800481342557145887430590027611095670241656141213251059074984308\ 8487925169864184437292075786770615468010084341204075733577235735590678703266697\ 4293783629971931714124923104896649257128860531817511000108206447046811935568993\ 4173886538156817233326794133302493316603813318561406424115109221637339224947336\ 59156972016438005901] ---------------------------- (A,B)= , {1, 4, 5}, {3, 5} [4*P^2*x^5+4*P*x^6+x^7-5*P^2*x^4-11*P*x^5-4*x^6+2*P^2*x^3+8*P*x^4+6*x^5+6*P^2*x ^2+2*P*x^3-2*x^4-5*P^2*x-14*P*x^2-4*x^3+P^2+10*P*x+8*x^2-2*P-5*x+1, ((-x^4+2*x^ 3-x^2)*C-2*x+1)/((2*x^3-x^2)*C-x^2-2*x+1), {5*n*(n-5)*a(n)-3*(n-1)*(29*n-168)*a (n-1)+(619*n^2-5297*n+8148)*a(n-2)+(-2301*n^2+23781*n-51060)*a(n-3)+(4651*n^2-\ 56897*n+155472)*a(n-4)+(-4406*n^2+65110*n-221376)*a(n-5)+(-400*n^2-5512*n+55296 )*a(n-6)+(5205*n^2-70971*n+236628)*a(n-7)+(-4980*n^2+76314*n-288960)*a(n-8)+( 1526*n^2-22954*n+79800)*a(n-9)+(685*n^2-15695*n+90276)*a(n-10)+(-548*n^2+12094* n-66504)*a(n-11)+(48*n^2-912*n+3792)*a(n-12)+32*(2*n-27)*(n-14)*a(n-13) = 0, a( 1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 75, a(8) = 190, a(9) = 485, a(10) = 1251, a(11) = 3262, a(12) = 8616, a(13) = 23100}, [0, 1, 2, 5, 12, 30, 75, 190, 485, 1251, 3262, 8616, 23100, 63025, 175461, 499783, 1459921, 4380722, 13512623, 42830452, 139310396, 463965618, 1577989827, 5465275103, 19222998679, 68494070049, 246702161648, 896597370435, 3283099248822 , 12097990201057, 44819641700979, 166807600078644, 623286827463606, 2337054759204565, 8789886095435936, 33150274202706686, 125331784698739047, 474903697449799846, 1803164572503756106, 6859272977204023810, 26137913377688152475, 99760589614523603837, 381323934249422380225, 1459597876187605769179, 5594202442922047824396, 21467155425824117264561, 82472862623640003457868, 317190099233256001337417, 1221165109487736919116719, 4705998313742297668756618], 360245522556748646274770331370601456221659492445145\ 3480626958965695385774563090150478880406821511810782104674938104056596149312505\ 6381824603920055491699331077165029100459367860932982284401063947407379574398263\ 9809819346293521950026338852203066513109311722164508680201277699845718622165530\ 6526772937652275939849595171868032390787762804890679486108816119971106659237265\ 1256829760073547821388564637490027728756346072680935222514503883659636512523407\ 6255471783365028999462317997970790649045133105539943969435408697166052597357805\ 1164371384184540396780001497108949509208931617714175862006047116926804] ---------------------------- (A,B)= , {1, 4, 5}, {4, 5} [P^2*x^9+2*P^2*x^8-P^2*x^7-2*P*x^8-3*P^2*x^6-2*P^2*x^5+4*P*x^6+x^7+P^2*x^4+P*x^ 5-2*x^6+7*P^2*x^3+2*P*x^4+x^5+P^2*x^2-10*P*x^3-2*x^4-4*P^2*x-4*P*x^2+3*x^3+P^2+ 8*P*x+3*x^2-2*P-4*x+1, ((x^4-x^3)*C-2*x+1)/((x^5+x^4-x^3)*C-x^2-2*x+1), {-5*n*( n-5)*a(n)+6*(n-1)*(13*n-76)*a(n-1)+(-467*n^2+4063*n-6288)*a(n-2)+(1273*n^2-\ 13619*n+29784)*a(n-3)+(-1170*n^2+16146*n-47592)*a(n-4)+(-1338*n^2+14376*n-35328 )*a(n-5)+(2819*n^2-41743*n+147804)*a(n-6)+(196*n^2-452*n-8712)*a(n-7)+(-1585*n^ 2+30887*n-144516)*a(n-8)+(-624*n^2+8454*n-22596)*a(n-9)+(-n^2-7177*n+66468)*a(n -10)+(782*n^2-8920*n+3120)*a(n-11)+(276*n^2-1596*n-12060)*a(n-12)+(-226*n^2+278 *n+31932)*a(n-13)+(-61*n^2-373*n+13488)*a(n-14)+(52*n^2-974*n+3300)*a(n-15)-6*( 2*n-31)*(9*n-164)*a(n-16)+(-97*n^2+3065*n-24168)*a(n-17)+(58*n^2-1994*n+17016)* a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12, a(6) = 30, a(7) = 75, a(8) = 189, a(9) = 480, a(10) = 1229, a(11) = 3176, a(12) = 8298, a(13) = 21966, a(14) = 59065, a(15) = 161801, a(16) = 452941, a(17) = 1299532, a(18) = 3830591, a(19) = 11618089}, [0, 1, 2, 5, 12, 30, 75, 189, 480, 1229, 3176, 8298, 21966, 59065, 161801, 452941, 1299532, 3830591, 11618089, 36269531, 116439331, 383667841, 1294002069, 4453594087, 15593695166, 55387969303, 199081144825, 722581003229, 2643896715483, 9738912422598, 36075590155145, 134270661961006, 501786477357031, 1881883403660571, 7079697675790355, 26707485369275214, 101000406169932232, 382808775862500402, 1453860239240215986, 5531868109815135765, 21084633961273100286, 80491573083432508855, 307734810665981342590, 1178153879072596249765, 4516359849224583074801, 17334129426890263142091, 66605742872706369058597, 256206110530279642102680, 986529215243235333643203, 3802329388866028337129393], 292645001943485315533947044413919873730749889620256\ 2775199352519102385583695899298061975730012538831336718087605394137111874969302\ 6801259337055315988428167227581391577713852379633168236677602808443523804546821\ 8659899259034486616922298312463444069756308116749439810538607493745743003573227\ 8615051059610036233437860587069784648903392708656158153568057422951307153240384\ 6265330373177818817238480321748389647348294747872817338582261586097101642372593\ 4013731939961730600909554162797511548463761374779889129707948638586514130819678\ 6773968486173425397878963185896439288973789454340414230868526606222702] ---------------------------- (A,B)= , {1, 4, 5}, {1, 2, 3} [P^2*x^9-2*P^2*x^8-3*P^2*x^7+3*P^2*x^6+8*P^2*x^5+2*P^2*x^4-2*P*x^5-7*P^2*x^3-4* P^2*x^2+7*P*x^3+P^2*x+4*P*x^2+2*P^2-2*P*x-4*P+x+2, (C*x-x-1)/((x^5-x^4-x^3+x)*C -x^5+x^4+2*x^3+x^2-x-1), {-12*n*(n-3)*a(n)+2*(n-1)*(47*n-208)*a(n-1)+(-110*n^2+ 1008*n-1600)*a(n-2)+(-370*n^2+2898*n-5096)*a(n-3)+(28*n^2-1242*n+4016)*a(n-4)+( 1037*n^2-9219*n+19360)*a(n-5)+(456*n^2-3012*n+3792)*a(n-6)+(-1061*n^2+10821*n-\ 25960)*a(n-7)+(-942*n^2+8688*n-19032)*a(n-8)+(380*n^2-4680*n+13288)*a(n-9)+(581 *n^2-4821*n+4888)*a(n-10)+(-69*n^2+687*n-1872)*a(n-11)+(-82*n^2-246*n+8560)*a(n -12)+(95*n^2-2013*n+10936)*a(n-13)+(-14*n^2+558*n-4192)*a(n-14)+(-62*n^2+1362*n -7456)*a(n-15)+12*(2*n-21)*(n-12)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a( 4) = 1, a(5) = 2, a(6) = 3, a(7) = 5, a(8) = 12, a(9) = 29, a(10) = 83, a(11) = 255, a(12) = 822, a(13) = 2742, a(14) = 9356, a(15) = 32467, a(16) = 114168}, [ 0, 1, 1, 1, 2, 3, 5, 12, 29, 83, 255, 822, 2742, 9356, 32467, 114168, 405781, 1455194, 5258418, 19126985, 69974129, 257297834, 950386559, 3524735208, 13120243235, 49000238678, 183555429394, 689504918418, 2596634029160, 9801692937389, 37079336353586, 140551415587995, 533764869906445, 2030586611335966, 7737496661857144, 29528555752779055, 112851198677309427, 431872420724378232, 1654841394782013270, 6348600769093618859, 24383275742261317138, 93750239842403360231, 360823627281426387767, 1390072813906383766308, 5360181937518100394967, 20687203775439401358289, 79907318744605147571262, 308899548167277327087560, 1195029129359289117485821, 4626534256324136840650480], 421863484283531720638593537575264389967432759082972\ 9780721311539954536823742454966349602980564504893630033785546576136426600955863\ 6388337472982610001863606695698707774691366663961845271707010092988116910753277\ 5569123483921904468800580420235209949252167527209037591123935705546297189451321\ 0186841322897221717903053534113818321000314640379450907284609533948646446100969\ 3235189272618566158013475763987256923149545013286595972101385838373521591538568\ 1969442815040359423503930872152821059066491123090133865392286241179557980932087\ 7487609748827676564622213879200894091218397858023213619801869447728096] ---------------------------- (A,B)= , {1, 4, 5}, {1, 2, 4} [P^2*x^8+2*P^2*x^7-P^2*x^5+2*P*x^6-P^2*x^4+2*P*x^5+P*x^4+x^4-P^2*x-2*P*x^2+P^2+ 2*P*x+2*x^2-2*P-x+1, (-C*x^2+x^2+1)/((x^4-x^2)*C-x^4-x^3+1), {4*n*(n-4)*a(n)-(n -1)*(41*n-210)*a(n-1)+(137*n^2-1109*n+1686)*a(n-2)+(-174*n^2+1740*n-3816)*a(n-3 )+(110*n^2-1430*n+4380)*a(n-4)+(-5*n^2+323*n-1650)*a(n-5)+(-73*n^2+841*n-2286)* a(n-6)+(-16*n^2-38*n+780)*a(n-7)+(-6*n^2-618*n+5004)*a(n-8)+(97*n^2-259*n-3678) *a(n-9)+(-42*n^2+732*n-2544)*a(n-10)+(20*n^2-608*n+3504)*a(n-11)+(26*n^2-170*n-\ 876)*a(n-12)+(-38*n^2+926*n-5700)*a(n-13)-4*(5*n-56)*(n-12)*a(n-14)+6*(7*n-89)* (n-14)*a(n-15)+12*(2*n-25)*(n-14)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a( 4) = 1, a(5) = 2, a(6) = 3, a(7) = 5, a(8) = 11, a(9) = 26, a(10) = 70, a(11) = 207, a(12) = 647, a(13) = 2106, a(14) = 7051, a(15) = 24097, a(16) = 83674}, [0 , 1, 1, 1, 2, 3, 5, 11, 26, 70, 207, 647, 2106, 7051, 24097, 83674, 294273, 1045846, 3749933, 13547690, 49267099, 180196763, 662439797, 2446328390, 9070877634, 33758062804, 126052417691, 472108717640, 1773120410363, 6676390675896, 25197999131966, 95309123099643, 361225716974764, 1371631581814205, 5217422203861400, 19878547015781552, 75854020831142002, 289865936153234253, 1109183215843309370, 4249746919413204413, 16302173384239978285, 62606891189856559899, 240694828612624380418, 926307543889178629035, 3568330920576186310045, 13758650344420341129256, 53096773299072596310617, 205080400782971857819787, 792733642884669962748824, 3066634481678499458121110], 270285970471554266338773018711035393646875219001276\ 0507261347437419865374158997338692719869469212723321583655495592328840964783347\ 4508226189285897023212016244208296142622251984901035423773506589670667687887371\ 0133064751767178836718923350664279007136247167836770736238228155924075671631881\ 0907878391643941103298643723848679685728151165507324163076563503367056946914666\ 6591277262315312235563008916578928715455713430307567316909807743994430973997175\ 5314491003217391077917246761888880047280563196639394773227159804521338175499469\ 9275819695786276258095624189871711424337491340265367677500766010466925] ---------------------------- (A,B)= , {1, 4, 5}, {1, 2, 5} [4*P^2*x^9+4*P^2*x^8-5*P^2*x^7-8*P^2*x^6+4*P*x^7+P^2*x^5+6*P*x^6+7*P^2*x^4-P*x^ 5+P^2*x^3-8*P*x^4+x^5-3*P^2*x^2-2*P*x^3+2*x^4-P^2*x+4*P*x^2+x^3+P^2+2*P*x-x^2-2 *P-x+1, (1+(-x^3-x^2)*C)/((2*x^5+x^4-x^3-x^2)*C-x^3-x^2+1), {5*n*(n-5)*a(n)-3*( n-1)*(17*n-104)*a(n-1)+(147*n^2-1383*n+2208)*a(n-2)+(9*n^2+261*n-1152)*a(n-3)+( -467*n^2+5305*n-13080)*a(n-4)+(-21*n^2-1245*n+7176)*a(n-5)+(1184*n^2-15154*n+ 46272)*a(n-6)+(99*n^2+1773*n-15912)*a(n-7)+(-1866*n^2+27330*n-98448)*a(n-8)+(-\ 546*n^2+3180*n+8880)*a(n-9)+(2018*n^2-33130*n+134496)*a(n-10)+(902*n^2-9712*n+ 12408)*a(n-11)+(-1350*n^2+24948*n-115656)*a(n-12)+(-582*n^2+6438*n+2112)*a(n-13 )+(522*n^2-12024*n+70368)*a(n-14)+(-12*n^2+3624*n-45096)*a(n-15)-8*(37*n-548)*( n-15)*a(n-16)+(176*n^2-5344*n+40608)*a(n-17)+96*(2*n-29)*(n-16)*a(n-18) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 3, a(7) = 4, a(8) = 9, a (9) = 17, a(10) = 40, a(11) = 106, a(12) = 300, a(13) = 914, a(14) = 2913, a(15 ) = 9588, a(16) = 32356, a(17) = 111239, a(18) = 388128}, [0, 1, 1, 1, 2, 3, 4, 9, 17, 40, 106, 300, 914, 2913, 9588, 32356, 111239, 388128, 1370588, 4888343, 17582208, 63697664, 232220179, 851274117, 3135867345, 11602086297, 43093506833, 160627779649, 600649849517, 2252639531874, 8470810706073, 31932106609871, 120647083306253, 456792955564307, 1732885556372039, 6585817765232490, 25071840401048857, 95598672994049853, 365059458392586055, 1395990036602199997, 5345303265589768433, 20492790961253075908, 78657245262286579258, 302244061725525978908, 1162607103784823674453, 4476524781512445976361, 17252826858764212627935, 66553482980118196715412, 256953180935460238723361, 992870528378883633170912], 8351755431513703472062192016075809841769573816241800\ 5205060069168347998188793418946943632563389327895691509127582685359778647646314\ 6106127379740785959253914526702603059503647917549192810286228010719058677750285\ 8121580259091297230129113230783049639639277380526274408719821259883934636572902\ 6397518588236787466004040562969428832381853863715277256397914352086990054516617\ 8858629948390551135006698896595713673776084840736609483080311772130566675634813\ 5296809784305639400186968458816937486932166715847562506867044172641133481256371\ 13517825398928279983697976521125807797549236633377048635268857142351] ---------------------------- (A,B)= , {1, 4, 5}, {1, 3, 4} [P^2*x^6-2*P^2*x^5-2*P*x^6+2*P*x^5+x^6+5*P^2*x^3+3*P*x^4-2*P^2*x^2-8*P*x^3-2*x^ 4-2*P^2*x+2*P*x^2+3*x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3-x^3+x-1)/(C*x^3-x^3+x^2+x-1 ), {-2*n*(n-4)*a(n)+24*(n-1)*(n-5)*a(n-1)-(97*n-196)*(n-6)*a(n-2)+(117*n^2-1287 *n+2898)*a(n-3)+(172*n^2-1300*n+2136)*a(n-4)+(-521*n^2+5762*n-15432)*a(n-5)+( 213*n^2-3039*n+10434)*a(n-6)+(411*n^2-5271*n+16902)*a(n-7)+(-387*n^2+5514*n-\ 19536)*a(n-8)+(13*n^2-241*n+1206)*a(n-9)+(61*n^2-403*n-2178)*a(n-10)+(-10*n^2-\ 296*n+4512)*a(n-11)+(32*n^2-734*n+4212)*a(n-12)-(5*n-62)*(7*n-93)*a(n-13)+6*(2* n-25)*(n-14)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6 ) = 6, a(7) = 12, a(8) = 27, a(9) = 65, a(10) = 170, a(11) = 476, a(12) = 1414, a(13) = 4402, a(14) = 14217}, [0, 1, 1, 2, 3, 6, 12, 27, 65, 170, 476, 1414, 4402, 14217, 47239, 160470, 554697, 1944429, 6894374, 24679227, 89056428, 323593154, 1182875890, 4346763457, 16047897424, 59494642961, 221391957005, 826635485088, 3095996467729, 11627999553452, 43785109077572, 165263075110456, 625136201372327, 2369480581679444, 8998064695282741, 34229987804891336, 130429508010142472, 497749807893531219, 1902266559894608027, 7279797339241753432, 27894639055580020246, 107014973343007643193, 411019170995750181084, 1580327248441487032549, 6082402342554517218958, 23432791399423074018674, 90359316461282626537899, 348740706582372659398031, 1347085844009079118750544, 5207558850390406044266742], 446761265441072229267132\ 3123350510222311924058470878611368514050301807906912109383270169920794602803283\ 2924540751940291337396015984785846531281879619087914405611804183935535833465148\ 8390350081825341323007885551013280017573237134535128678026768986468046585818586\ 5365735044607334664890181520976400589317423204747217793575291169278861962463400\ 6455146171560461242485365958117783141883092946046958785395372870930139193467361\ 9692621625818871536035006220940322237120697000119417329501643701045396126919521\ 3313411333575213422831318030002206323955868716355039313563081123765218179714291\ 242859553628632148] ---------------------------- (A,B)= , {1, 4, 5}, {1, 3, 5} [P^2*x^5+2*P*x^6+x^7-2*P^2*x^4-5*P*x^5-2*x^6+3*P^2*x^3+4*P*x^4+3*x^5+P^2*x^2-2* P*x^3-x^4-3*P^2*x-4*P*x^2-x^3+P^2+6*P*x+3*x^2-2*P-3*x+1, ((-x^4+x^3-x^2)*C-x+1) /((x^3-x^2)*C-x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(363*n^2-3183 *n+4944)*a(n-2)+(-893*n^2+9547*n-20976)*a(n-3)+(914*n^2-12196*n+35784)*a(n-4)+( 219*n^2-225*n-7392)*a(n-5)+(-1384*n^2+17498*n-52752)*a(n-6)+(1234*n^2-17744*n+ 63168)*a(n-7)+(-356*n^2+4720*n-14568)*a(n-8)+(-194*n^2+4540*n-26016)*a(n-9)+( 214*n^2-4616*n+25032)*a(n-10)+(-56*n^2+1144*n-5640)*a(n-11)+(-2*n^2+100*n-960)* a(n-12)+4*(2*n-27)*(n-14)*a(n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 49, a(10) = 114, a(11) = 282, a(12) = 752, a(13) = 2136}, [0, 1, 1, 2, 3, 6, 11, 23, 49, 114, 282, 752, 2136, 6419, 20177, 65722, 220038, 752575, 2617356, 9225086, 32869376, 118173756, 428103561, 1561000315, 5724152972, 21094746474, 78081385891, 290153412992, 1082041532942, 4048096515461, 15188802201225, 57141764001633, 215499680826187, 814552975121593, 3085305677072050, 11708946241510341, 44516367758971844, 169531911150654238, 646644715759725464, 2470129761807286018, 9448758120393904485, 36190556292498041169, 138787083316668900022, 532851896891188493414, 2048049696688358780055, 7879995339964975433358, 30348682834511739932672, 116993250695875320070539, 451407809934790174706267, 1743196191181198269424947], 143294631180940971766123002598157155433440224314535\ 0642224620564254687592094202518668163588925717637318066924807635381336912206684\ 3459369385402423764506566571945453324748104913948035148185349269098915157294250\ 3267127349648797450166321205441277244859312845765206754744608801111462554141515\ 8519290109657194459317447801156487948762126172997060426647091712863615026732265\ 1261045315360306123019869894783141479851820087283896045630298962504494645984446\ 1717738167187995081594956126369715826054340105772479087577494528094859130250788\ 4741229673634327257096915717456518823019065458581053627340982019255332] ---------------------------- (A,B)= , {1, 4, 5}, {1, 4, 5} [P^2*x^9-2*P^2*x^7-P^2*x^6+2*P*x^7+3*P^2*x^4-P*x^5+3*P^2*x^3-2*P*x^4+x^5-2*P^2* x^2-4*P*x^3-2*P^2*x+2*P*x^2+x^3+P^2+4*P*x-2*P-2*x+1, (-C*x^3-x+1)/((x^5-x^3)*C- x^2-x+1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+3*(81*n-164)*(n-7)*a(n-2)+(-305 *n^2+3589*n-8352)*a(n-3)+(-304*n^2+2684*n-4752)*a(n-4)+(789*n^2-10359*n+31068)* a(n-5)+(177*n^2-1089*n-696)*a(n-6)+(-755*n^2+11599*n-42816)*a(n-7)+(-188*n^2+ 2902*n-10956)*a(n-8)+(132*n^2-4974*n+32628)*a(n-9)+(336*n^2-5118*n+17436)*a(n-\ 10)+(193*n^2-899*n-8724)*a(n-11)+(-247*n^2+3449*n-9396)*a(n-12)+(-71*n^2+379*n+ 5040)*a(n-13)+(72*n^2-1380*n+6672)*a(n-14)+(27*n^2-549*n+2580)*a(n-15)-6*(7*n-\ 100)*(n-17)*a(n-16)-2*(7*n-92)*(n-15)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a (1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 22 , a(9) = 46, a(10) = 103, a(11) = 247, a(12) = 639, a(13) = 1775, a(14) = 5249, a(15) = 16336, a(16) = 52908, a(17) = 176633, a(18) = 603426}, [0, 1, 1, 2, 3, 6, 11, 22, 46, 103, 247, 639, 1775, 5249, 16336, 52908, 176633, 603426, 2098236 , 7397693, 26372721, 94877317, 343934279, 1254891006, 4604415826, 16977716828, 62874621154, 233754843631, 872098436478, 3263970080439, 12251214361452, 46106004729808, 173935358711577, 657640024977570, 2491643957162794, 9458375668381118, 35968494538925991, 137009689680257558, 522705323372069226, 1997086717160502277, 7640695841317281747, 29270486191883036317, 112268019875275374640, 431103982280691117988, 1657223096269372034678, 6377172210044508896019, 24564091057383718546273, 94706004383661854916411, 365459296073776736738974, 1411454930031779118657455], 1165794912258075179164365\ 8366509136656453182543928978536805144473622850925482575354978640970469084399493\ 6309826115947389870374540969920314806252972083776144509039235294998745582500320\ 7675644430580998816384486673076003574373187878312918852391578200396776503151662\ 5485636684539705005805267690839974151794038242016424545203370251885001217293924\ 6686485974481519888892542681057580258224570800968917565264665932143990532018461\ 1771724169306686409189373551047546639826872488784173566243925225699523045146329\ 6454664023212823502136625946805980474879831926500543724237452935665600938268299\ 41171709697028735] ---------------------------- (A,B)= , {1, 4, 5}, {2, 3, 4} [P^2*x^10+2*P^2*x^9-P^2*x^8-2*P*x^9-5*P^2*x^7-2*P*x^8-2*P^2*x^6+4*P*x^7+x^8+7*P ^2*x^5+6*P*x^6+8*P^2*x^4-4*P*x^5-2*x^6+P^2*x^3-11*P*x^4-x^5-3*P^2*x^2-2*P*x^3+4 *x^4-2*P^2*x+4*P*x^2+x^3+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^4-x^4+x^2+x-1)/((x^5+x^4 )*C-x^5-x^4+x^3+2*x^2+x-1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)+(-188*n^2+ 1520*n-2304)*a(n-2)+(191*n^2-2159*n+4926)*a(n-3)+(308*n^2-2948*n+6384)*a(n-4)+( -244*n^2+4414*n-15888)*a(n-5)+(-907*n^2+10675*n-30270)*a(n-6)+(-n^2-4469*n+ 30054)*a(n-7)+(1336*n^2-17782*n+54576)*a(n-8)+(669*n^2-4227*n-11694)*a(n-9)+(-\ 580*n^2+6910*n-6096)*a(n-10)+(-394*n^2-2180*n+63228)*a(n-11)+(-12*n^2+3288*n-\ 45216)*a(n-12)+(-734*n^2+28616*n-241332)*a(n-13)+(-601*n^2+17503*n-121962)*a(n-\ 14)+(845*n^2-29591*n+252354)*a(n-15)+(1059*n^2-34125*n+273606)*a(n-16)+(-125*n^ 2+4751*n-43794)*a(n-17)+(-612*n^2+20160*n-165432)*a(n-18)+(-141*n^2+4551*n-\ 36450)*a(n-19)+(162*n^2-5670*n+48996)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a (1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 20, a(7) = 45, a(8) = 104, a(9) = 245, a(10) = 594, a(11) = 1489, a(12) = 3881, a(13) = 10566, a(14) = 30112, a(15) = 89773, a(16) = 279038, a(17) = 899540, a(18) = 2989670, a(19) = 10184987, a(20) = 35386937, a(21) = 124878670}, [0, 1, 2, 4, 9, 20, 45, 104, 245, 594, 1489, 3881, 10566, 30112, 89773, 279038, 899540, 2989670, 10184987, 35386937, 124878670, 446175854, 1610045148, 5857158393, 21451228892, 79009207674, 292423913241, 1086885023433, 4054821675727, 15177514220431, 56980286821635, 214497263416740, 809447076990277, 3061510147771538, 11603422893810994, 44062777242896643, 167622757209124577, 638728219891054155, 2437661973039196744, 9316700780105930036, 35656874015715391364, 136641178451424035677, 524257977989498073783, 2013744113642542080439, 7743412986317544998766, 29806072512843354026272, 114841407544533300484405, 442886709466893208060134, 1709494483620220082742549, 6603977860013737377085983] , 55248618973670895970371542184181743312086042347410401178895778273133740365300\ 2553575647083158762304452408537148357607598025317478716070593058163132613658011\ 9460739010336359468546014728513000338367089525594410053513756206787399274252338\ 1672610790943019862529961621124210002410614032294564231091936580305320458113147\ 4930986371508806708395669217124096753016839964628501255471311456335847346086018\ 3517448885505743037907965858792512402493028524153452512670097899058056858321485\ 1945246810421631611932171418316671420999645256398727645726724337574637252156303\ 15924918362603466822155655729952167859545261] ---------------------------- (A,B)= , {1, 4, 5}, {2, 3, 5} [P^2*x^11-4*P^2*x^9-2*P*x^10-P^2*x^8+2*P*x^9+8*P^2*x^7+6*P*x^8+x^9+4*P^2*x^6-6* P*x^7-2*x^8-5*P^2*x^5-10*P*x^6-x^7+P^2*x^4+7*P*x^5+5*x^6+6*P^2*x^3+4*P*x^4-x^5- P^2*x^2-10*P*x^3-4*x^4-3*P^2*x+4*x^3+P^2+6*P*x+x^2-2*P-3*x+1, ((x^5-x^4-x^3+x^2 )*C+x^2+x-1)/((x^6-2*x^4-x^3+x^2)*C+x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*( 23*n-136)*a(n-1)+(-347*n^2+3067*n-4776)*a(n-2)+(692*n^2-7666*n+17112)*a(n-3)+(-\ 17*n^2+1903*n-8568)*a(n-4)+(-1763*n^2+21949*n-64512)*a(n-5)+(1370*n^2-23110*n+ 90840)*a(n-6)+(1970*n^2-23644*n+65832)*a(n-7)+(-2650*n^2+41732*n-160704)*a(n-8) +(-971*n^2+5779*n+20232)*a(n-9)+(2684*n^2-33898*n+67164)*a(n-10)+(140*n^2+5384* n-53532)*a(n-11)+(-1226*n^2+112*n+168276)*a(n-12)+(-397*n^2+11705*n-111888)*a(n -13)+(-363*n^2+29751*n-327420)*a(n-14)+(1115*n^2-38929*n+341652)*a(n-15)+(1049* n^2-37753*n+326208)*a(n-16)+(-1460*n^2+52372*n-466776)*a(n-17)+(-911*n^2+29881* n-243036)*a(n-18)+(999*n^2-37143*n+343848)*a(n-19)+(438*n^2-15114*n+129552)*a(n -20)+(-373*n^2+14195*n-134196)*a(n-21)+(-94*n^2+3458*n-31416)*a(n-22)+36*(2*n-\ 35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 20, a(7) = 44, a(8) = 100, a(9) = 227, a(10) = 526, a(11) = 1240, a(12) = 2996, a(13) = 7462, a(14) = 19283, a(15) = 51999, a(16) = 146855, a(17) = 434609, a(18) = 1344213, a(19) = 4322862, a(20) = 14363626, a(21) = 48999633, a (22) = 170656334, a(23) = 604042731}, [0, 1, 2, 4, 9, 20, 44, 100, 227, 526, 1240, 2996, 7462, 19283, 51999, 146855, 434609, 1344213, 4322862, 14363626, 48999633, 170656334, 604042731, 2165169778, 7838653342, 28606328919, 105080772709, 388110932576, 1440146094449, 5365424975828, 20060249032664, 75237339308904, 282980831542775, 1067067863975602, 4033121349194204, 15276415056959450, 57977600828006150, 220441980195683134, 839590711253586836, 3202803662908249579, 12235949324623550062, 46811160078981902463, 179320135530164418683, 687770420594315655896, 2640963995065725525748, 10152157600351630498235, 39066608384672585475771, 150480829906930162748244, 580180576715588043116333, 2238884964313680114003989], 1795030061499186188575501\ 4053380587870891035161576274791022007361405909208878131643962375331987711358888\ 2754780042344837558831221976723615378981528731109499946227943672675015927365825\ 2573854027774063259156090808686217230531265814559089845489111209082988391977763\ 3410962431152743334717539337256082675708394135786398562717839110747840139420697\ 4925473293415379432749869452854381847214616213620056873628173403325940708503816\ 7743771616001665386322757682016555783579550249706085816139051296194956930267356\ 1734580381773994485716705717871728703019989991450092469380855542158098914246810\ 72612969425352634] ---------------------------- (A,B)= , {1, 4, 5}, {2, 4, 5} [P^2*x^9+2*P^2*x^8-2*P^2*x^7-2*P*x^8-4*P^2*x^6+3*P^2*x^5+6*P*x^6+x^7+8*P^2*x^4- P*x^5-2*x^6+4*P^2*x^3-8*P*x^4-4*P^2*x^2-8*P*x^3+x^4-2*P^2*x+6*P*x^2+4*x^3+P^2+4 *P*x-2*x^2-2*P-2*x+1, ((x^4-x^3)*C-x^2-x+1)/((x^5+x^4-x^3)*C-x^3-2*x^2-x+1), {-\ 5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-227*n^2+2077*n-3276)*a(n-2)+(132*n^2-\ 1944*n+4944)*a(n-3)+(868*n^2-9440*n+23112)*a(n-4)+(-1027*n^2+15071*n-50112)*a(n -5)+(-1576*n^2+20276*n-62160)*a(n-6)+(1467*n^2-27615*n+120636)*a(n-7)+(2403*n^2 -35031*n+123360)*a(n-8)+(-523*n^2+14735*n-86376)*a(n-9)+(-2224*n^2+35672*n-\ 136536)*a(n-10)+(-281*n^2+4567*n-22212)*a(n-11)+(788*n^2-9250*n+3336)*a(n-12)+( 57*n^2-309*n-1152)*a(n-13)+(-6*n^2-3846*n+52296)*a(n-14)+(180*n^2-6504*n+55632) *a(n-15)-6*(n-16)*(24*n-413)*a(n-16)+(-145*n^2+4625*n-36840)*a(n-17)+(58*n^2-\ 1994*n+17016)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 20, a(7) = 44, a(8) = 99, a(9) = 224, a(10) = 513, a(11) = 1195, a(12) = 2842, a(13) = 6946, a(14) = 17569, a(15) = 46303, a( 16) = 127831, a(17) = 370549, a(18) = 1126340, a(19) = 3573886}, [0, 1, 2, 4, 9 , 20, 44, 99, 224, 513, 1195, 2842, 6946, 17569, 46303, 127831, 370549, 1126340 , 3573886, 11761108, 39862976, 138271989, 488253815, 1747916353, 6324515363, 23077605433, 84781727447, 313216004351, 1162606310623, 4332911252721, 16205522610646, 60800520210624, 228755423444490, 862857627831684, 3262218386797736, 12359757007615603, 46919997626456960, 178440872017494367, 679772395722445527, 2593678754732637236, 9910786124593632593, 37922718096194109724, 145296180424741527813, 557364826048784093527, 2140551319455450928667, 8229720618608944447743, 31673260721140317237813, 122018466715863331163598, 470502682920034979866537, 1815861185947448437734002], 1462800370567034006266952961539109682433874373080801713978176127195285611344288\ 4959738923531831108239778901687487213957847225131530422237376669942912272209377\ 2154385805817139845254908613114153131446179174046791220041861604279932025834275\ 8774171158318472630519535712674476551485900305126883478017505441076902729936298\ 8296670480526494442192175019208303093977500548420867873026624633513492241724926\ 3951634267848867787032877048703441955595680522009236844411298768115160930706021\ 0730325912518750734236481755831118883674107827451943670209265764596795358196593\ 963934898016284169532819509671065898424658] ---------------------------- (A,B)= , {1, 4, 5}, {3, 4, 5} [P^2*x^7-2*P*x^7+P^2*x^5+x^7+3*P^2*x^4-P*x^5+3*P^2*x^3-4*P*x^4+2*P^2*x^2-2*P*x^ 3+2*x^4-4*P^2*x-6*P*x^2-x^3+P^2+8*P*x+4*x^2-2*P-4*x+1, (C*x^4+2*x-1)/(C*x^4+x^2 +2*x-1), {-5*n*(n-5)*a(n)+6*(n-1)*(13*n-76)*a(n-1)+(-475*n^2+4121*n-6372)*a(n-2 )+(1397*n^2-14743*n+32040)*a(n-3)+(-1915*n^2+24227*n-68016)*a(n-4)+(786*n^2-\ 12516*n+46284)*a(n-5)+(180*n^2-2970*n+9096)*a(n-6)+(544*n^2-7724*n+26940)*a(n-7 )+(-194*n^2+5272*n-29184)*a(n-8)+(-510*n^2+6546*n-17640)*a(n-9)+(73*n^2+2623*n-\ 33300)*a(n-10)+(-199*n^2+3209*n-11868)*a(n-11)+(8*n^2-616*n+6672)*a(n-12)+(11*n ^2-793*n+8556)*a(n-13)+2*(11*n-156)*(n-17)*a(n-14)-2*(7*n-92)*(n-15)*a(n-15)+12 *(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 5, a(5) = 12 , a(6) = 30, a(7) = 75, a(8) = 189, a(9) = 479, a(10) = 1223, a(11) = 3149, a( 12) = 8191, a(13) = 21570, a(14) = 57658, a(15) = 156922, a(16) = 436257}, [0, 1, 2, 5, 12, 30, 75, 189, 479, 1223, 3149, 8191, 21570, 57658, 156922, 436257, 1242872, 3638527, 10965878, 34045019, 108805053, 357274835, 1202026549, 4130436260, 14449031922, 51301700505, 184386296915, 669375114142, 2450047568012 , 9028629140357, 33459651456920, 124591597243819, 465823930037686, 1747761201756708, 6577787413246112, 24823457470693889, 93908515473742883, 356045282404128886, 1352624141630452358, 5148110513686688310, 19627046654087083882, 74945269399844679673, 286594715910000048513, 1097450183466892024289, 4207815569819657692659, 16152889327896087110080, 62077616685538723602633, 238827098975843427866373, 919752131591367644808747, 3545468519680746326710971], 274262489420476662138863159778306517520004476726128\ 5944148021039568525984303548884323935462450168045444146709615866092231803064376\ 5110801873625798088653082353806845620306429891231900815067529948237112350435385\ 0287922381918153221973968585597835883458797114343448960755698948798196684622796\ 6646516368487021220677083960242729994254787495478848335702500894015839814651246\ 4155017861431693869474725730403739146009902736188875442653168255915507139440065\ 1466177901459039081547382443179729461700640940285591243516426281278321400821827\ 1098005030798427226027285635163254214630770688270425623016311492037105] ---------------------------- (A,B)= , {1, 4, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^8-P^2*x^7+2*P^2*x^6+4*P^2*x^5-2*P*x^5-2*P^2*x^3+P*x^4-2*P^2*x ^2+2*P*x^3+2*P*x^2+P^2-2*P+1, -1/(C*x^5-x^5+x^3+x^2-1), {-4*n*(n-4)*a(n)+2*(n-1 )*(17*n-90)*a(n-1)+(-62*n^2+560*n-888)*a(n-2)+(-77*n^2+605*n-978)*a(n-3)+(102*n ^2-1182*n+2868)*a(n-4)+(182*n^2-1958*n+4836)*a(n-5)+(100*n^2-346*n-1188)*a(n-6) -4*(7*n-27)*(11*n-80)*a(n-7)+(-278*n^2+2954*n-7596)*a(n-8)+(76*n^2-1162*n+3372) *a(n-9)+(293*n^2-3533*n+10386)*a(n-10)+(78*n^2-870*n+2652)*a(n-11)+(-126*n^2+ 1200*n-1680)*a(n-12)+(-47*n^2+629*n-1818)*a(n-13)+2*(13*n-46)*(n-9)*a(n-14)+(8* n^2-44*n-384)*a(n-15)-2*(n-10)*(n-12)*a(n-16)+4*(2*n-23)*(n-12)*a(n-17) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 3, a(7) = 5, a(8) = 11, a(9) = 25, a(10) = 66, a(11) = 191, a(12) = 588, a(13) = 1896, a(14) = 6308, a( 15) = 21469, a(16) = 74342, a(17) = 260943}, [0, 1, 1, 1, 2, 3, 5, 11, 25, 66, 191, 588, 1896, 6308, 21469, 74342, 260943, 926074, 3316931, 11973393, 43513283 , 159066479, 584501254, 2157706161, 7998154943, 29757776669, 111089339678, 415981872895, 1562041328980, 5880671455323, 22191655254726, 83927258073346, 318051668584823, 1207568361432657, 4592927749326698, 17497712382630420, 66763858420537677, 255110886501963839, 976127555500420502, 3739728162545408380, 14344920044879394675, 55087389039480107246, 211775553455220075793, 814975809618513560406, 3139325805180303712869, 12104031032896878728718, 46709618964669524999163, 180404485154823344273806, 697326766344318744626686, 2697477018079647204709275], 237529037226566602627481306279161356726146312041167\ 9784276176761037833855455697671894759193867148566759130697531668173132318177684\ 4387510170123096998104705954588257001209912108710011281580209252485556017325711\ 4378979794025150647921886921595753618801108745202776365462202945917087994398368\ 4972283869552874677265813055916281565087297834402208836569329550417076159169917\ 5002842249831403250845628103335328512505626247500062051877316756011755135202402\ 1929989239485551967862530637141770025796987738477426869562775000993202159290002\ 3853729146238256821742898081084345151966493309422339266240646155805863] ---------------------------- (A,B)= , {1, 4, 5}, {1, 2, 3, 5} [P^2*x^11-2*P^2*x^10-P^2*x^9+3*P^2*x^8+3*P^2*x^7-3*P^2*x^6-2*P*x^7-2*P^2*x^5+2* P*x^6+3*P^2*x^4+3*P*x^5+P^2*x^3-2*P*x^4-2*P^2*x^2-2*P*x^3-P^2*x+2*P*x^2+x^3+P^2 +2*P*x-2*P-x+1, (C*x^2-1)/((x^6-x^5-x^4+x^2)*C+x^3+x^2-1), {-5*n*(n-5)*a(n)+3*( n-1)*(17*n-104)*a(n-1)+(-155*n^2+1441*n-2292)*a(n-2)+(66*n^2-978*n+2628)*a(n-3) +(298*n^2-3188*n+7296)*a(n-4)+(-162*n^2+2832*n-10308)*a(n-5)+(-534*n^2+5886*n-\ 14748)*a(n-6)+(398*n^2-6136*n+22344)*a(n-7)+(595*n^2-6341*n+14028)*a(n-8)+(-604 *n^2+8180*n-24276)*a(n-9)+(-464*n^2+5344*n-14292)*a(n-10)+(509*n^2-7729*n+25716 )*a(n-11)+(371*n^2-3637*n+5088)*a(n-12)+(-398*n^2+4876*n-9924)*a(n-13)+(-78*n^2 +1176*n-3864)*a(n-14)+(83*n^2-295*n-7872)*a(n-15)+(12*n^2-528*n+4968)*a(n-16)+( 26*n^2-1210*n+11544)*a(n-17)+8*(5*n-54)*(n-14)*a(n-18)-2*(5*n-72)*(7*n-107)*a(n -19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a( 5) = 2, a(6) = 3, a(7) = 4, a(8) = 9, a(9) = 16, a(10) = 38, a(11) = 97, a(12) = 273, a(13) = 827, a(14) = 2633, a(15) = 8676, a(16) = 29333, a(17) = 101046, a(18) = 353247, a(19) = 1249576, a(20) = 4463573}, [0, 1, 1, 1, 2, 3, 4, 9, 16, 38, 97, 273, 827, 2633, 8676, 29333, 101046, 353247, 1249576, 4463573, 16075928 , 58308867, 212792831, 780763489, 2878432737, 10657245845, 39609468434, 147726549344, 552695916370, 2073781560758, 7801619958395, 29421187008023, 111200931039477, 421170290670033, 1598247598682269, 6075891552780402, 23136833795283599, 88242771065292421, 337049241119678917, 1289163853148765396, 4937286920726124410, 18932240788834501140, 72680795155428478767, 279327879046571787801, 1074634927367925985745, 4138440089949275481108, 15952184415414313484304, 61544845301014857828308, 237647313044870852985335, 918389211504063804173820], 7763801903402603724466248524686621856799883541139846\ 5752482450982776617778489911498150067082481944438910053186182079819076320550541\ 3050946522581816247972552436420032517206657343706761482669244360404511179214510\ 8077663946449853777990033046220758221626809212014015940333154229644275551399885\ 4505706180850489394106621301308068670966536487630777201250260252991899689884642\ 5126257239362887318616467478074074016069183788517416581035983691329775402027093\ 7678157172234008271451800483183064181694534222582200945120452103048840452427741\ 85263439304992442923630789830305556040564302160860398358968519543986] ---------------------------- (A,B)= , {1, 4, 5}, {1, 2, 4, 5} [P^2*x^9-3*P^2*x^7+2*P*x^7+4*P^2*x^5+3*P^2*x^4-3*P*x^5-2*P^2*x^3-2*P*x^4+x^5-3* P^2*x^2+2*P*x^3+4*P*x^2+P^2-x^2-2*P+1, (-C*x^3+1)/((x^5-x^3)*C-x^3-x^2+1), {5*n *(n-5)*a(n)-6*(n-1)*(7*n-44)*a(n-1)+(67*n^2-695*n+1152)*a(n-2)+(166*n^2-1532*n+ 2856)*a(n-3)+(-240*n^2+3048*n-8064)*a(n-4)+(-470*n^2+5284*n-13584)*a(n-5)+(278* n^2-4480*n+16044)*a(n-6)+(813*n^2-10995*n+36096)*a(n-7)+(70*n^2+568*n-7620)*a(n -8)+(-823*n^2+11987*n-42456)*a(n-9)+(-315*n^2+4203*n-12540)*a(n-10)+(n-5)*(443* n-4248)*a(n-11)+(166*n^2-2204*n+4080)*a(n-12)+(-140*n^2+2146*n-6564)*a(n-13)+(4 *n^2-956*n+11568)*a(n-14)+(63*n^2-1629*n+10644)*a(n-15)+(-58*n^2+1850*n-14568)* a(n-16)-2*(7*n-92)*(n-15)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a(1) = 0, a(2 ) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 3, a(7) = 4, a(8) = 8, a(9) = 15, a (10) = 32, a(11) = 81, a(12) = 223, a(13) = 667, a(14) = 2115, a(15) = 6959, a( 16) = 23523, a(17) = 81088, a(18) = 283714}, [0, 1, 1, 1, 2, 3, 4, 8, 15, 32, 81, 223, 667, 2115, 6959, 23523, 81088, 283714, 1004510, 3591273, 12944569, 46985225, 171581111, 629927959, 2323605793, 8607265010, 32004746189, 119413291132, 446935217424, 1677539093660, 6312978136033, 23814381166096, 90034296561694, 341090384002812, 1294674410494289, 4922939992087791, 18750392828355782, 71527317335235612, 273254569718396551, 1045343052105457684, 4004160357050385969, 15356547147229410855, 58962526251079944099, 226637734011680319704, 872041850510115084799, 3358680027260130013560, 12948070345688427689548, 49960529614167136195366, 192937398107483410998132, 745686525061450296119686], 6331781320548230925806397680354629746730639244202802\ 2482915257057444761886956428511825466127440113145267074517276666210366004266047\ 4299641784935628973040018146780447699928523997364066495048697378063427937094531\ 0181031115373523874134532762772331763978751576695124583336634362027903237722960\ 8244464968408301030618947740026226840526065754607150252343745870881248826361352\ 5190381728261791397038509520538881949861796494453963700026969834192756329811720\ 9648553584549941140942710403515323267773870556374644911554083841771931333060699\ 58743407375298082839500389644804503662796722284524081488594646886889] ---------------------------- (A,B)= , {1, 4, 5}, {1, 3, 4, 5} [P^2*x^7-2*P*x^7+P^2*x^5+x^7+2*P^2*x^4-P*x^5+P^2*x^3-2*P*x^4-P^2*x^2+x^4-2*P^2* x-x^3+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^4+x-1)/(C*x^4+x^2+x-1), {-5*n*(n-5)*a(n)+60 *(n-1)*(n-6)*a(n-1)+(-251*n^2+2251*n-3528)*a(n-2)+(401*n-1269)*(n-8)*a(n-3)+(-\ 93*n^2+1761*n-6696)*a(n-4)-(193*n-656)*(n-9)*a(n-5)+(-160*n^2+1766*n-4788)*a(n-\ 6)+(160*n^2-2768*n+10968)*a(n-7)+(215*n^2-2521*n+6444)*a(n-8)+(-106*n^2+92*n+ 7716)*a(n-9)+(72*n^2+108*n-8064)*a(n-10)+(-66*n^2+1728*n-11556)*a(n-11)+(4*n^2-\ 92*n+720)*a(n-12)+(11*n^2-577*n+5748)*a(n-13)+2*(11*n-156)*(n-17)*a(n-14)-2*(7* n-92)*(n-15)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 22, a(9) = 45, a(10) = 99, a (11) = 233, a(12) = 594, a(13) = 1633, a(14) = 4803, a(15) = 14920, a(16) = 48340}, [0, 1, 1, 2, 3, 6, 11, 22, 45, 99, 233, 594, 1633, 4803, 14920, 48340, 161624, 553208, 1927363, 6807517, 24307643, 87570150, 317828942, 1160855070, 4263256111, 15732283464, 58303199438, 216894143144, 809643878470, 3031737195989 , 11384670991346, 42862433630526, 161759437788865, 611813168497384, 2318747584482650, 8804616219635255, 33491389848078440, 127605942762582704, 486942618794758493, 1860854093192209989, 7120931148239607510, 27284550133779393510, 104669685850656191960, 401994711278831614409, 1545569607672081819945, 5948414309014238018136, 22915837330131340388409, 88363169233952721905961, 341026822217351123195086, 1317254028019969106947587], 1093042635760654247006296958617354528638220165227080473232101811078580513171969\ 1965444154454199909764189408892965712679736188282603261821282676181022791601934\ 9181146027140967556662559133901072146694084737986079066389457189694739500246975\ 4699093319465457649054368698616819027087381921689333016097230388229443082358208\ 3904501281030665997358594146222470118947449941042132399898474842459932494083810\ 0776814411685679879746080622782765120315542794118171999385978221829595893810700\ 2623502614038962643948891525330788041012563097803392705972020570036399828935821\ 022820960326993796605736011506578242870777] ---------------------------- (A,B)= , {1, 4, 5}, {2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-2*P*x^10+P^2*x^8-2*P*x^9+3*P^2*x^7+x^9+4*P^2*x^6-2 *P*x^7+4*P^2*x^5-4*P*x^6+5*P^2*x^4-3*P*x^5+x^6+2*P^2*x^3-4*P*x^4+x^5-3*P^2*x^2-\ 4*P*x^3-2*P^2*x+4*P*x^2+2*x^3+P^2+4*P*x-x^2-2*P-2*x+1, (C*x^5+x^2+x-1)/((x^6+x^ 5)*C+x^3+2*x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-235*n^2+2135*n-\ 3360)*a(n-2)+(228*n^2-2832*n+6744)*a(n-3)+(495*n^2-5211*n+12144)*a(n-4)+(-686*n ^2+10018*n-33144)*a(n-5)+(-755*n^2+9469*n-27612)*a(n-6)+(561*n^2-9933*n+41712)* a(n-7)+(682*n^2-12560*n+55476)*a(n-8)+(235*n^2-4403*n+19080)*a(n-9)+(152*n^2+ 1580*n-31752)*a(n-10)+(-63*n^2+3735*n-28440)*a(n-11)+(-279*n^2+2253*n+11484)*a( n-12)+(-205*n^2+7883*n-74196)*a(n-13)+(26*n^2+5906*n-80520)*a(n-14)+(213*n^2-\ 7659*n+72300)*a(n-15)+(250*n^2-12494*n+134208)*a(n-16)+(228*n^2-10248*n+106872) *a(n-17)+(327*n^2-12825*n+124116)*a(n-18)+(267*n^2-10077*n+94956)*a(n-19)+(68*n ^2-2632*n+25512)*a(n-20)+(83*n^2-3253*n+31644)*a(n-21)+(162*n^2-6318*n+60984)*a (n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 9, a(6) = 20, a(7) = 44, a(8) = 99, a(9) = 223, a(10) = 509, a(11) = 1179, a(12) = 2785, a(13) = 6753, a(14) = 16929, a(15) = 44203, a(16) = 120945, a(17) = 347849, a(18) = 1050831, a(19) = 3319888, a(20) = 10896294, a(21) = 36882406, a(22) = 127879217, a(23) = 451623436}, [0, 1, 2, 4, 9, 20, 44, 99, 223, 509, 1179, 2785, 6753, 16929, 44203, 120945, 347849, 1050831, 3319888, 10896294, 36882406, 127879217, 451623436, 1617544759, 5856461202, 21384274907, 78614071006, 290617560651, 1079370312408, 4024907169295, 15061086458462, 56532494492597, 212785548892555, 802923103095545, 3036672356820778, 11508867012681475, 43702615538796229, 166249717203975795, 633488348183873132, 2417642862736459566, 9240129360919140037, 35363660631516682119, 135517128572958915370, 519944204512661630300, 1997171836660885269695, 7679683208154447324215, 29560759725317899963903, 113896263412956980278217, 439242032294465431561239, 1695427950814911303535778], 1372178267181270427736247\ 5860016048354123324867700092538450381136053579024476839768754176144780209769152\ 7774649537043954837610147858260140332994285358283447939390902637676629809966337\ 7430489692262448930491108405446332487132798650976795364006712211642066390022160\ 2226330494316789825074355278923559806089781007893463989878880991196634869381427\ 2713778199143179467179323102411565980630657554077748769861342241440288971098142\ 7968341459793632212113687546625352277321100041234364855602705774711749317486690\ 0062555299366737368218592090106857638369445532490081955718207977372259879944697\ 02342450573119551] ---------------------------- (A,B)= , {1, 4, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^8+P^2*x^7+P^2*x^6+P^2*x^5+P^2*x^4+P*x^5-2*P^2*x^3-2*P^2*x^2+2*P *x^3+2*P*x^2+P^2-2*P+1, -1/(C*x^6+x^3+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44) *a(n-1)+(-75*n^2+753*n-1236)*a(n-2)+(-98*n^2+880*n-1512)*a(n-3)+(119*n^2-1543*n +3960)*a(n-4)+(295*n^2-3263*n+8064)*a(n-5)+(-77*n^2+1057*n-3168)*a(n-6)+(-224*n ^2+3370*n-12108)*a(n-7)+(-112*n^2+1700*n-6396)*a(n-8)+(5*n^2-349*n+2484)*a(n-9) +(-40*n^2+26*n+1824)*a(n-10)+(52*n^2-1046*n+4860)*a(n-11)+(123*n^2-1695*n+6108) *a(n-12)-6*(n+8)*(7*n-54)*a(n-13)+(-21*n^2+243*n-516)*a(n-14)+(42*n^2-672*n+ 2616)*a(n-15)+20*(n-8)*(2*n-21)*a(n-16)-(n-12)*(n-11)*a(n-17)+2*(n-12)*(2*n-25) *a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 3, a(7) = 4, a(8) = 8, a(9) = 14, a(10) = 30, a(11) = 74, a(12) = 202, a(13) = 605, a( 14) = 1922, a(15) = 6345, a(16) = 21520, a(17) = 74392, a(18) = 260905}, [0, 1, 1, 1, 2, 3, 4, 8, 14, 30, 74, 202, 605, 1922, 6345, 21520, 74392, 260905, 925568, 3314426, 11962977, 43472500, 158910664, 583912238, 2155489328, 7989823503, 29726462497, 110971542105, 415538177038, 1560367622727, 5874347927082, 22167725479034, 83836557048651, 317707346024058, 1206259246063051, 4587943202000408, 17478706697323092, 66691293702611067, 254833474016806129, 975065713334806842, 3735659016930053667, 14329308976021730676, 55027433940561180601, 211545057805399673897, 814088811651113998089, 3135909261035161746384, 12090859441486858899669, 46658796053118050679411, 180208223647445663704809, 696568275875324237110424], 5940873178654269731873364558281669372654652142830848824036989869933691646072747\ 8423869346084023959886622828901721309437298701921136488190225116938279567674290\ 3867713763055912918667011677367687377886922685265700043906539431142473407088315\ 4949970367175665542343751594843097749232558574050678015432055460700576211188685\ 2016408054435990708025836193032661288874667678357390319950765105739826410556742\ 0696034095677527231831938252395337508111674818483279926126677605738949997622489\ 3550611444846411099383074849561493884674173541608025699364680914830414905817476\ 85311561671094927941057826837326620676363] ---------------------------- (A,B)= , {2, 3, 4}, {} [x^5+2*x^4-3*P*x^2+3*x^3+P^2-2*P*x+4*x^2-2*P+2*x+1, ((x^3+x^2+x)*C-x^3-x^2-x-1) /(C*x-1), {2*n*(n-2)*a(n)+(-17*n^2+73*n-54)*a(n-1)+(30*n^2-186*n+228)*a(n-2)+( 21*n^2-195*n+438)*a(n-3)+6*(n-6)*(2*n-13)*a(n-4) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1}, [1, 1, 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420, 24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452, 18367353072152, 69533550916004, 263747951750360, 1002242216651368, 3814986502092304, 14544636039226909, 55534064877048198, 212336130412243110, 812944042149730764, 3116285494907301262, 11959798385860453492, 45950804324621742364, 176733862787006701400, 680425371729975800390, 2622127042276492108820, 10113918591637898134020, 39044429911904443959240, 150853479205085351660700, 583300119592996693088040, 2257117854077248073253720, 8740328711533173390046320, 33868773757191046886429490], 32114698345794713298306428294654118250800576949038\ 9192671544176021303516810350523119358919232249321949900710793308852558804484715\ 0965000780357167761600218078387404432688126810366105345304212221605800095448092\ 8752116528535980351275289956949563645114955633028777495255954879438315981007832\ 0475475259246942992878642045524787953321488310690375369444926513247057096072373\ 6846502022150856451241364577507029324360488104983550058850667644785094286293517\ 4163085769473514814883517907962694433226378410172328239904728739491324555025800\ 812051909954645704334271162611610278050837876970628496992503675209976000] ---------------------------- (A,B)= , {2, 3, 4}, {1} [P^2*x^7-2*P^2*x^6+P^2*x^5-2*P*x^5+3*P^2*x^3-4*P^2*x^2+P^2*x+3*P*x^2+x^3+P^2-4* P*x+2*x^2-2*P+3*x+1, ((x^2+x)*C-x^2-x-1)/((x^4-x^3+x)*C-x^4+x^3-1), {-2*n*(n-2) *a(n)+(14*n^2-64*n+48)*a(n-1)+(4*n^2+28*n-48)*a(n-2)+(-141*n^2+885*n-1434)*a(n-\ 3)+(89*n^2-313*n-150)*a(n-4)+(157*n^2-1817*n+4974)*a(n-5)+(-200*n^2+2362*n-7032 )*a(n-6)+(-12*n^2-432*n+2952)*a(n-7)+(142*n^2-2504*n+12204)*a(n-8)+(-132*n^2+ 3690*n-21516)*a(n-9)+(48*n^2-1842*n+11808)*a(n-10)+(-16*n^2+374*n-1932)*a(n-11) +(87*n^2-1755*n+8730)*a(n-12)+(-102*n^2+2142*n-11100)*a(n-13)+20*(2*n-19)*(n-12 )*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 14, a(8) = 42, a(9) = 131, a(10) = 423, a(11) = 1403, a(12) = 4752, a(13) = 16368, a(14) = 57156}, [1, 1, 1, 1, 2, 5, 14, 42, 131, 423, 1403, 4752, 16368, 57156, 201869, 719863, 2588216, 9372207, 34149566, 125115479, 460631583, 1703294466, 6323090211, 23556466556, 88042385976, 330029273074, 1240467871707, 4674091331251, 17652431827907, 66808828254905, 253349075845652, 962502706630080 , 3662930429219206, 13962124491953955, 53299975926150485, 203758477315087078, 779976481680190080, 2989451720617203341, 11471378393678603614, 44068264710999920093, 169471635838914845677, 652386900051048657834, 2513788634213531163156, 9694990198677692678157, 37423318590283470043999, 144575949022061465230756, 558974962442951811112236, 2162798245481741364239346, 8374382668926753195553971, 32448112056035262098645354], 30665365900692055061889\ 2552663323359370630404756550206131834658423813977586538917138592788359867530533\ 3712724008063988616248914690453955359764185671721173580829933719634136614366148\ 4800930943248835188017207756518784520315180696973221941883413936414183816804235\ 4344844171921417904415421939822867517867806338417564581082784189496769741498022\ 9197539153693823511439244552764437064703849870521949421940700367387053053719115\ 8532042494906516520266252056283439329323294810287536200448117707049843527990472\ 8407582397621237515223615471494502762444481888322454238827495581972060873800268\ 13671334256606877399] ---------------------------- (A,B)= , {2, 3, 4}, {2} [P^2*x^5-2*P^2*x^4-2*P*x^5+P^2*x^3+2*P*x^4+x^5+3*P^2*x^2-2*P*x^3-4*P^2*x-3*P*x^ 2+2*x^3+2*P^2+4*P*x+2*x^2-4*P+2, ((x^3+x)*C-x^3-x-1)/((x^3-x^2+x)*C-x^3+x^2-1), {-8*n*(n-2)*a(n)+4*(23*n-22)*(n-3)*a(n-1)-4*(13*n-24)*(7*n-26)*a(n-2)+(614*n^2-\ 4162*n+6684)*a(n-3)+(-502*n^2+4334*n-9156)*a(n-4)+(106*n^2-2318*n+8724)*a(n-5)+ (38*n^2+2102*n-13572)*a(n-6)+(115*n^2-4463*n+25818)*a(n-7)+(-181*n^2+4625*n-\ 25902)*a(n-8)+(4*n^2-656*n+5664)*a(n-9)+(157*n^2-2993*n+14190)*a(n-10)+(-126*n^ 2+2586*n-13140)*a(n-11)+20*(2*n-19)*(n-12)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3 ) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 14, a(8) = 41, a(9) = 126, a(10) = 402, a(11) = 1321, a(12) = 4441}, [1, 1, 1, 1, 2, 5, 14, 41, 126, 402, 1321, 4441, 15203, 52816, 185733, 659871, 2364937, 8539838, 31040495, 113478164, 416980018, 1539211507, 5705044691, 21223873539, 79222097044, 296616389757, 1113675209778, 4192159338318, 15817784363441, 59814272913753, 226645132503265, 860416393513293, 3272172907555246, 12464622058934407, 47554546994349786, 181691233479903554, 695132321224479207, 2662921801790735605, 10213520933899909951, 39218409126795076734, 150756294049832798869, 580106255448689423858, 2234414446430482707604, 8614362307141809068755, 33240411862352206604297, 128373540751742907106433, 496173703671591084311738, 1919222972406942309003491, 7429096205405994535079238, 28777411313781870311516400], 26865694457652522587999029936942001078628622067536\ 9253755232749260242072270035746474479905091367729605474136191361080782199615673\ 8248971199082002978870917669572776157080648816483862213872613678951471621006121\ 5888663626818148532639340534030022782732308416483198972162480668184090626478738\ 7790399682205517113690920608392324058110719598385355088576210513750395740487940\ 8186729707744558530667138822280077403444950654922738615799389106522232166752535\ 5881037322966950115655366756534716724007913795131848128450709955730397628705028\ 477420242518736866163447570679509779347234991373942707352195483859705109] ---------------------------- (A,B)= , {2, 3, 4}, {3} [P^2*x^4-2*P*x^5+x^6-2*P^2*x^3+2*x^5+4*P^2*x^2-P*x^3+x^4-3*P^2*x-4*P*x^2+2*x^3+ P^2+4*P*x+x^2-2*P-x+1, ((x^3+x^2)*C-x^3-x^2-1)/(C*x^2-x^2+x-1), {-3*n*(n-3)*a(n )+(39*n^2-189*n+144)*a(n-1)-4*(7*n-13)*(7*n-32)*a(n-2)+(508*n^2-3948*n+6992)*a( n-3)+(-786*n^2+7122*n-15480)*a(n-4)+(757*n^2-7779*n+19688)*a(n-5)+(-490*n^2+ 5598*n-16160)*a(n-6)+(252*n^2-3600*n+13728)*a(n-7)+(-171*n^2+3321*n-16584)*a(n-\ 8)+(122*n^2-2694*n+14800)*a(n-9)+(-62*n^2+1362*n-7456)*a(n-10)+12*(2*n-21)*(n-\ 12)*a(n-11) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a( 7) = 13, a(8) = 36, a(9) = 106, a(10) = 327, a(11) = 1045}, [1, 1, 1, 1, 2, 5, 13, 36, 106, 327, 1045, 3433, 11529, 39414, 136733, 480180, 1703807, 6099193, 22000823, 79890801, 291808480, 1071403389, 3952020216, 14638293671, 54424065467 , 203034222400, 759790586108, 2851348853311, 10728474996286, 40463929597582, 152954346844120, 579360875031653, 2198706838568725, 8359108281762525, 31832900933458770, 121414387352480205, 463767198460804970, 1773894781707379869, 6793896919957722629, 26052030028473231638, 100015329095164501530, 384385629016815344827, 1478831105536752569398, 5695056470981344209128, 21952519511373386671936, 84695039144155916932505, 327039800428485491619329, 1263849346853594929350751, 4887944251701029342021731, 18918148640934696765014662], 17029657072827185048349847351541797263627156596074\ 4198480347345535996359571890091839560626069320374451858581582839936711885892545\ 1528165087881261341762991422586858323025542022494621445485690710753898597223301\ 9106763977802172442002595886464278217969425771352980400547106206946886427828790\ 9190292144303234033291562614597532361207098665950104862430975900819386639288520\ 8665645945103396327145992059974309865786521198650256471109313434756877903703355\ 6731883432053120804326035614412497875067934966804910868050109149032639202942617\ 006524539693180520442776194751072394714971478385770320851934004271450078] ---------------------------- (A,B)= , {2, 3, 4}, {4} [x^7-2*P*x^5+2*x^6+P^2*x^3-3*P*x^4+3*x^5+2*P^2*x^2-2*P*x^3+2*x^4-3*P^2*x+P^2+4* P*x-x^2-2*P-x+1, (-1+(x^4+x^3+x^2)*C)/(C*x^2+x-1), {-4*n*(n-4)*a(n)+(52*n^2-304 *n+240)*a(n-1)+(-252*n^2+1896*n-2640)*a(n-2)+(559*n^2-5059*n+9558)*a(n-3)+(-531 *n^2+5607*n-12966)*a(n-4)+(48*n^2-648*n+1488)*a(n-5)+(173*n^2-2243*n+6966)*a(n-\ 6)+(32*n^2-770*n+4524)*a(n-7)+(-80*n^2+1652*n-8616)*a(n-8)+(-2*n^2-4*n+288)*a(n -9)+4*(2*n-23)*(n-12)*a(n-10) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 9, a(8) = 22, a(9) = 58, a(10) = 163}, [1, 1, 1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266 , 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547, 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902] , 51628753827939587175270793146739776343546006200493103198909701539541186923225\ 9578716403393108219304136552150872798751431937116955807889914806532927088403324\ 8027259456792797083964479361671854201994712784844827088363364785846553884062221\ 5222418743537458453079024091728900488942430885986233162211564148465556122284609\ 1312814567891756532923754750997006416572288573999876781589229310798456119401095\ 6791351591367602592543600709001839331861569062086290339727171461512839059684266\ 7524339433248941466478827925293501926943400844863403401960735665243505646824757\ 11064847803847298295213007424631913460095271] ---------------------------- (A,B)= , {2, 3, 4}, {5} [x^9+4*x^8-2*P*x^6+7*x^7-9*P*x^5+10*x^6+P^2*x^3-6*P*x^4+11*x^5+6*P^2*x^2-6*P*x^ 3+5*x^4-5*P^2*x-4*P*x^2+2*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((x^5+x^4+x^3+x^2)*C+x^4 +x^3+x^2+x-1)/(C*x^2+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-550*n ^2+4622*n-6744)*a(n-2)+(1827*n^2-18297*n+36720)*a(n-3)+(-3053*n^2+35323*n-87720 )*a(n-4)+(1989*n^2-25833*n+73608)*a(n-5)+(356*n^2-5650*n+22632)*a(n-6)+(-333*n^ 2+5175*n-18240)*a(n-7)+(-244*n^2+4166*n-15840)*a(n-8)+(-354*n^2+8610*n-52536)*a (n-9)+(6*n^2-288*n+2736)*a(n-10)+4*(2*n-27)*(n-14)*a(n-11) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8) = 35, a(9) = 97, a (10) = 276, a(11) = 805}, [1, 1, 1, 1, 2, 5, 13, 35, 97, 276, 805, 2404, 7343, 22916, 72980, 236857, 782275, 2625265, 8938718, 30834165, 107608097, 379454447, 1350434278, 4845475311, 17512579630, 63703732426, 233063976059, 857067469749, 3166309373615, 11745982220846, 43736933794243, 163409819344676, 612415062653080 , 2301627415153461, 8672479097155517, 32755202434296043, 123984146212620561, 470251102237219228, 1786931561888319841, 6802111091955394040, 25935000481117133188, 99035202677825435351, 378714703735090725951, 1450161164914390585861, 5559907771213558938638, 21341984205122852560893, 82014231825056416720796, 315503776035235853259224, 1214944984225803265071151, 4682988152685541482167655], 360199360670119766177678615834702573805385514217279\ 3804606784802716895850394166674379635226071486678181417371978214348661034889204\ 4748202527200310496951071742363115422699117950730049660718981653064745128680723\ 3065357916348620281893243680113098465156408332489755667114805094900160185828399\ 2565177357934659140022793494338556768902005336838189797824274558802748057932115\ 8176807599156860966521817718364872780123802889158153758181193246992713275446135\ 9928647130293839826113307085404032653413976447867148397054164588121148816319705\ 0999540191164843778903513724249120764871938231358343626388914020268461] ---------------------------- (A,B)= , {2, 3, 4}, {1, 2} [P^2*x^7-2*P^2*x^5+4*P^2*x^3-2*P*x^4-P^2*x^2-2*P*x^3-3*P^2*x+3*P*x^2+2*P^2+2*P* x-4*P+x+2, (C*x-x-1)/((x^4-x^2+x)*C-x^4+x^2-1), {-8*n*(n-2)*a(n)+(86*n^2-346*n+ 252)*a(n-1)+(-287*n^2+1663*n-2082)*a(n-2)+(261*n^2-2001*n+3366)*a(n-3)+(188*n^2 -820*n+576)*a(n-4)+(-410*n^2+3070*n-5652)*a(n-5)+(72*n^2-1596*n+6648)*a(n-6)+( 142*n^2-350*n-2748)*a(n-7)+(-55*n^2+1103*n-4530)*a(n-8)+(-10*n^2-982*n+6684)*a( n-9)+(34*n^2-410*n+1308)*a(n-10)+(-40*n^2+788*n-3768)*a(n-11)-6*(n-7)*(n-10)*a( n-12)+12*(2*n-17)*(n-10)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a (5) = 2, a(6) = 5, a(7) = 14, a(8) = 41, a(9) = 125, a(10) = 396, a(11) = 1294, a(12) = 4333, a(13) = 14791}, [1, 1, 1, 1, 2, 5, 14, 41, 125, 396, 1294, 4333, 14791, 51276, 180025, 638775, 2286978, 8251371, 29970940, 109503164, 402169961, 1483893204, 5497910652, 20446433619, 76297478645, 285590604789, 1072022994552, 4034504863330, 15219968605786, 57543483332561, 218005542838234, 827495101292973 , 3146543417300542, 11984553567642796, 45717670526953514, 174654156504307481, 668141707319144461, 2559284586276495460, 9815159419012923514, 37685644568148518504, 144853070662400085376, 557350078176692108187, 2146615842106211564090, 8275333045307165647770, 31930228290887702287720, 123306462368268282581254, 476562708659622908113156, 1843269953937192147033183, 7134734374271868624060681, 27635854920022511233101721], 25752353014415371768519\ 2306000360954657235989064819374391561029515184992652937296772336685914866371219\ 8028816587135495838885988116636332833988432278575321874623391403425868867391742\ 7072635062098201629153816068713154975529190237252352545971840225584552282771258\ 2321401934283297004078418188813497314234899281835004721823003146453378444172393\ 0649045589507273468032296527617832582803225866628592568061936420381677230230909\ 4801745762476070225503928566209397576280060371239551127060751038660486121186715\ 6247142686909149669401826955604764699239261108629100773406103584557672218156352\ 65083362910788370514] ---------------------------- (A,B)= , {2, 3, 4}, {1, 3} [P^2*x^8-2*P^2*x^7+3*P^2*x^6-4*P^2*x^5-2*P*x^6+6*P^2*x^4+2*P*x^5-6*P^2*x^3-4*P* x^4+5*P^2*x^2+5*P*x^3+x^4-3*P^2*x-6*P*x^2+P^2+4*P*x+2*x^2-2*P-x+1, (C*x^2-x^2-1 )/((x^4-x^3+x^2)*C-x^4+x^3-x^2+x-1), {-3*n*(n-3)*a(n)+(39*n^2-189*n+144)*a(n-1) +(-200*n^2+1278*n-1684)*a(n-2)+(563*n^2-4287*n+7516)*a(n-3)+(-1078*n^2+9324*n-\ 19652)*a(n-4)+(1543*n^2-14541*n+34136)*a(n-5)+(-1719*n^2+16947*n-41124)*a(n-6)+ (1471*n^2-14115*n+30116)*a(n-7)+(-931*n^2+6489*n+1840)*a(n-8)+(338*n^2+2442*n-\ 41096)*a(n-9)+(110*n^2-8820*n+68428)*a(n-10)+(-370*n^2+11562*n-76400)*a(n-11)+( 436*n^2-11094*n+68060)*a(n-12)+(-358*n^2+8454*n-49736)*a(n-13)+(7*n-79)*(35*n-\ 436)*a(n-14)+(-126*n^2+3090*n-18816)*a(n-15)+20*(2*n-23)*(n-14)*a(n-16) = 0, a( 1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8) = 36, a(9) = 105, a(10) = 321, a(11) = 1020, a(12) = 3339, a(13) = 11188, a(14) = 38192, a(15) = 132364, a(16) = 464529}, [1, 1, 1, 1, 2, 5, 13, 36, 105, 321, 1020, 3339, 11188, 38192, 132364, 464529, 1647524, 5895853, 21262636, 77198200, 281942404, 1035098655, 3817898053, 14140980032, 52573803431, 196128674596, 733942813329, 2754339137580, 10363477455412, 39087447553965, 147752141596447, 559660360533226, 2123961622516223, 8075020380590705, 30751372475350038, 117290606811539906, 448020637453555611, 1713684315265358208, 6563370424687021195, 25168336959090947524, 96623879534289069240, 371355571704898861519, 1428716993569499092494, 5502124599332731390475, 21209060159367635483965, 81827559488325286963180, 315970626459512652030510, 1221084695571390425900985, 4722598239148099936617631, 18278374298202551707886172], 16463058337097970924033457732156315703511421367716\ 4297150077300428749733123208238656380486471494421751256938807587617530309970528\ 7380014750430771305494100442205612189981255759560340235890399946212051233615560\ 3544095575649110154238414221266413409395764419505834846528532833408301891048758\ 0535572755794530991146237244291846035785986570314125984689239001174241334948226\ 0060535409480398426885147202088395927863484457115358308384206351524575483670365\ 8722146117788079011978510431781784459124970080145430314372999444465571018142852\ 846496589333352445512443284319457099090858011989960190464829244290955692] ---------------------------- (A,B)= , {2, 3, 4}, {1, 4} [P^2*x^9-2*P^2*x^8+P^2*x^7+2*P^2*x^6-2*P*x^7-P^2*x^5-2*P^2*x^4+2*P*x^5+2*P^2*x^ 3-P*x^4+x^5+2*P^2*x^2-4*P*x^3+2*x^4-3*P^2*x+x^3+P^2+4*P*x-x^2-2*P-x+1, (-1+(x^3 +x^2)*C)/((x^5-x^4+x^2)*C+x-1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1)+(-\ 252*n^2+1896*n-2640)*a(n-2)+(554*n^2-5030*n+9516)*a(n-3)+(-470*n^2+5126*n-12012 )*a(n-4)+(-212*n^2+1928*n-4944)*a(n-5)+(606*n^2-7608*n+23688)*a(n-6)+(-87*n^2+ 2241*n-10458)*a(n-7)+(-449*n^2+5633*n-18138)*a(n-8)+(188*n^2-5108*n+30168)*a(n-\ 9)+(308*n^2-116*n-22368)*a(n-10)+(-376*n^2+3646*n-4308)*a(n-11)+(155*n^2-3563*n +23718)*a(n-12)+(50*n^2-44*n-5832)*a(n-13)+(-141*n^2+3417*n-21450)*a(n-14)+(70* n^2-2032*n+14784)*a(n-15)+(79*n^2-2263*n+16038)*a(n-16)+(-102*n^2+2958*n-21300) *a(n-17)+20*(2*n-27)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1 , a(5) = 2, a(6) = 4, a(7) = 9, a(8) = 22, a(9) = 57, a(10) = 159, a(11) = 469, a(12) = 1448, a(13) = 4635, a(14) = 15261, a(15) = 51388, a(16) = 176183, a(17) = 612976, a(18) = 2158739}, [1, 1, 1, 1, 2, 4, 9, 22, 57, 159, 469, 1448, 4635, 15261, 51388, 176183, 612976, 2158739, 7680437, 27563750, 99662488, 362696467, 1327480618, 4883165595, 18043681917, 66941972332, 249258756724, 931180778773, 3489169658483, 13110035851126, 49383540972138, 186453894351461, 705497745966413 , 2674774045212621, 10159804530335198, 38657701238989582, 147329630869948384, 562345496892199066, 2149488459374143910, 8227144302925091583, 31529110503573626987, 120974059778734643322, 464689182797890252537, 1786885491597547641909, 6878137076370818008686, 26501031286318209407489, 102200282326408639772110, 394475277195011634806660, 1523870962248246789822098, 5891431780271216040509440], 506698382977521408189939051476223541034450484932255\ 7630415559378056920821581421666845697535441279213502518712894259465005986617408\ 6782803429860833582829550598661057518290990959424937649125704419405823270603062\ 5315822076546318091746618898840206982270786989448042815418751748946637509570381\ 2694217021182947319209183542227689707320389752442094172284795224700982893485324\ 4403923387324657518884855189423375710538044633880615237334540622449113532116813\ 3303718009603744024862737585852225636324071663690145051761616114778163892761288\ 2258017134295680602088245194172266182435806131003663330318013036874523] ---------------------------- (A,B)= , {2, 3, 4}, {1, 5} [P^2*x^11-3*P^2*x^9+2*P^2*x^8-2*P*x^9+2*P^2*x^7-4*P*x^8+5*P^2*x^6-10*P^2*x^5+2* P*x^6+x^7+3*P^2*x^4+5*P*x^5+4*x^6+P^2*x^3-12*P*x^4+7*x^5+6*P^2*x^2-6*P*x^3+8*x^ 4-5*P^2*x-4*P*x^2+2*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((x^4+x^3+x^2)*C+x^3+x^2+x-1)/ ((x^6-x^5+x^2)*C+x^5-x^4+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-\ 550*n^2+4622*n-6744)*a(n-2)+(1827*n^2-18297*n+36720)*a(n-3)+(-3071*n^2+35449*n-\ 87936)*a(n-4)+(2258*n^2-28222*n+78864)*a(n-5)+(-1195*n^2+10853*n-21048)*a(n-6)+ (3934*n^2-47282*n+142536)*a(n-7)+(-5668*n^2+79346*n-276432)*a(n-8)+(1777*n^2-\ 23363*n+67776)*a(n-9)+(128*n^2-6826*n+53184)*a(n-10)+(2067*n^2-28629*n+85488)*a (n-11)+(-2228*n^2+40462*n-197016)*a(n-12)+(-42*n^2-5832*n+79824)*a(n-13)+(862*n ^2-21404*n+152352)*a(n-14)+(-98*n^2+6694*n-73008)*a(n-15)+(-532*n^2+17726*n-\ 152520)*a(n-16)+(156*n^2-7944*n+83952)*a(n-17)+(358*n^2-11768*n+97008)*a(n-18)+ (-40*n^2+920*n-4272)*a(n-19)+(-208*n^2+7376*n-65040)*a(n-20)+(50*n^2-1654*n+ 13656)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a( 4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8) = 35, a(9) = 96, a(10) = 270, a(11) = 780, a(12) = 2312, a(13) = 7024, a(14) = 21842, a(15) = 69414, a(16) = 225079 , a(17) = 743371, a(18) = 2496308, a(19) = 8508784, a(20) = 29390406, a(21) = 102720404, a(22) = 362765641}, [1, 1, 1, 1, 2, 5, 13, 35, 96, 270, 780, 2312, 7024, 21842, 69414, 225079, 743371, 2496308, 8508784, 29390406, 102720404, 362765641, 1292954266, 4645795180, 16813120818, 61234104766, 224278927819, 825598343597, 3052852180791, 11334484192474, 42236276003217, 157909657786569, 592163212060306, 2226744987184780, 8394529277414283, 31719860242318689, 120115083048998058, 455749431018051118, 1732428858932149337, 6596752165000570656, 25159429020279005764, 96099796579375122395, 367582386799226123805, 1407863794763874655152, 5398918522276730826443, 20728241232057303202474, 79670880650179778750974, 306543765558109737630555, 1180639568365175162962855, 4551476011464255031124814], 351839806282882653631719\ 8367357203176444904732371400108571061157691216775579750927693886519872270068928\ 2859212610485853781774608180571633195043633549392618418509662083502920950557377\ 1567212487116893823200764944347552359917724780669271965088378161366928946377642\ 5423686453553159935447096905973388548250832078437624133468731655615517315874938\ 4052966591090009719201494675810295800315026012741342426120747045532866647485683\ 0455833084596965600491513513992304051291477652217801636804580822613410484929576\ 9573230975133373702944385789577810064277120230260393000618973687196989783356549\ 158296485453484304] ---------------------------- (A,B)= , {2, 3, 4}, {2, 3} [P^2*x^6-2*P*x^6-2*P^2*x^4+x^6+3*P^2*x^3+2*P*x^4-5*P*x^3-2*P^2*x+2*P*x^2+2*x^3+ P^2+2*P*x-x^2-2*P+1, (C*x^3-x^3-1)/(C*x^3-x^3+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16 )*(n-4)*a(n-1)+(-129*n^2+861*n-1140)*a(n-2)+(167*n^2-1401*n+2488)*a(n-3)+2*(n-2 )*(29*n-62)*a(n-4)+(-345*n^2+2979*n-6444)*a(n-5)+(256*n^2-2394*n+5348)*a(n-6)+( 40*n^2-366*n+560)*a(n-7)+(-87*n^2-27*n+5988)*a(n-8)+(-37*n^2+1557*n-11612)*a(n-\ 9)+(-28*n^2+960*n-6560)*a(n-10)+(150*n^2-3852*n+24216)*a(n-11)+(-85*n^2+2133*n-\ 13316)*a(n-12)-2*(11*n-112)*(n-13)*a(n-13)+20*(2*n-23)*(n-14)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8) = 35, a( 9) = 100, a(10) = 302, a(11) = 952, a(12) = 3099, a(13) = 10341, a(14) = 35191} , [1, 1, 1, 1, 2, 5, 13, 35, 100, 302, 952, 3099, 10341, 35191, 121675, 426235, 1509527, 5395752, 19440653, 70527674, 257410261, 944502532, 3482057011, 12891663255, 47911465803, 178677801603, 668446930852, 2507902435597, 9434058742432, 35574593704411, 134448013413936, 509178929420527, 1932075964933201, 7344435676690123, 27965432572431014, 106651485392247266, 407335498083119739, 1557898433022636919, 5966126693955762129, 22876003814630422942, 87815822218408485955, 337476272522609413495, 1298274823221131763073, 4999423331259768386066, 19270001954332467875448, 74341685892136572824965, 287047314819803047192623, 1109246113759602311205579, 4289826753005486781177806, 16602524221537751188087927], 14925669809693872217942\ 0640016548840549612825428286932161939937112989954550926399708738623622701692161\ 3137672258793166290698785716694115253104761914175603806826645275121447119886642\ 4753996655500280078822659141092646296258933361046886133153513470723122448853105\ 1174373847099711467648586694043149326351795458302517028514088581327208731515982\ 8796042895740088002670107974454261714893254494995084147612103575777752131376315\ 6223375936180548122990982871322222661978046711323193320781292466249375920874260\ 3259328259071314499046532004827288315468470195958225598248923093001784648877806\ 19036432561205506638] ---------------------------- (A,B)= , {2, 3, 4}, {2, 4} [P^2*x^7-2*P^2*x^6-2*P*x^7+3*P^2*x^5+2*P*x^6+x^7-P^2*x^4-4*P*x^5-P^2*x^3+P*x^4+ 2*x^5+3*P^2*x^2-3*P^2*x-2*P*x^2+P^2+4*P*x-2*P-x+1, (-1+(x^4+x^2)*C)/((x^4-x^3+x ^2)*C+x-1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1)+(-258*n^2+1932*n-2688)*a (n-2)+(632*n^2-5642*n+10644)*a(n-3)+(-844*n^2+8698*n-20244)*a(n-4)+(585*n^2-\ 7101*n+19998)*a(n-5)+(-9*n^2+1605*n-8862)*a(n-6)+(-486*n^2+3318*n+24)*a(n-7)+( 546*n^2-3336*n-7548)*a(n-8)+(-220*n^2-1568*n+32316)*a(n-9)+(-68*n^2+5090*n-\ 45768)*a(n-10)+(61*n^2-2725*n+23802)*a(n-11)+(126*n^2-2868*n+16044)*a(n-12)-2*( n-13)*(127*n-1686)*a(n-13)+(7*n-93)*(35*n-506)*a(n-14)+(-126*n^2+3594*n-25500)* a(n-15)+20*(2*n-27)*(n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 9, a(8) = 21, a(9) = 54, a(10) = 149, a(11) = 438, a (12) = 1350, a(13) = 4320, a(14) = 14230, a(15) = 47954, a(16) = 164558}, [1, 1 , 1, 1, 2, 4, 9, 21, 54, 149, 438, 1350, 4320, 14230, 47954, 164558, 573051, 2019865, 7191994, 25829119, 93449965, 340281196, 1246075455, 4585815748, 16951949226, 62915140454, 234344255750, 875733610574, 3282333723946, 12336075846135, 46479229966385, 175526926175706, 664288022487728, 2519010933193514, 9569842096650666, 36418896606330968, 138818568967329863, 529935711080005818, 2025880223509959471, 7755020705324770354, 29723338094793336736, 114058384671831428480, 438171314555044017761, 1685085932362394478683, 6486909381085133858864, 24995932783935751291833, 96404273868842502372269, 372134377260836870706496, 1437680298381351756412411, 5558627096498485327398580], 479532486350361435625227202060224605741881581100472\ 9549435487256127673072966570954888108018506003286913755341254659194399371263970\ 3365279256631355398626855026035091594378765457906673291062954958569342236807905\ 3693846080631580893308238089916188917950481550854723806656669954341082978029368\ 4691213704878587706040433907308149090077917174610188381052355174357049132952490\ 0875896511768969477363916429853556386404877280147986579785702981964054942681102\ 5656619479555240123990227390472642917170940662529398453377318836553829154505168\ 7032670557122476194560315602648240123028500540101537822742782075751844] ---------------------------- (A,B)= , {2, 3, 4}, {2, 5} [P^2*x^9-2*P*x^9-3*P^2*x^7-2*P*x^8+x^9+4*P^2*x^6+2*P*x^7+2*x^8+5*P^2*x^5-6*P*x^ 6+2*x^7-10*P^2*x^4-5*P*x^5+6*x^6+4*P^2*x^3+8*P*x^4+5*x^5+6*P^2*x^2-12*P*x^3+x^4 -5*P^2*x-4*P*x^2+5*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((x^5+x^3+x^2)*C+x^4+x^2+x-1)/( (x^5-x^4+x^2)*C+x^4-x^3+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-\ 550*n^2+4622*n-6744)*a(n-2)+(1806*n^2-18138*n+36432)*a(n-3)+(-2738*n^2+32350*n-\ 80880)*a(n-4)+(163*n^2-5375*n+17136)*a(n-5)+(5386*n^2-70490*n+229800)*a(n-6)+(-\ 6423*n^2+94083*n-340464)*a(n-7)+(291*n^2-7875*n+43656)*a(n-8)+(4726*n^2-72062*n +264792)*a(n-9)+(-3060*n^2+50472*n-195552)*a(n-10)+(-512*n^2+4996*n-2544)*a(n-\ 11)+(586*n^2+1102*n-95328)*a(n-12)+(529*n^2-21509*n+199200)*a(n-13)+(-82*n^2-\ 910*n+25848)*a(n-14)+(-697*n^2+25205*n-223440)*a(n-15)+(406*n^2-14354*n+125832) *a(n-16)+(235*n^2-8375*n+74352)*a(n-17)+(-210*n^2+7422*n-65304)*a(n-18)+(10*n^2 -314*n+2496)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8) = 34, a(9) = 91, a(10) = 251, a(11) = 714, a(12) = 2092, a(13) = 6303, a(14) = 19493, a(15) = 61759, a(16) = 200027, a(17) = 660828, a(18) = 2222052, a(19) = 7589022, a(20) = 26275624}, [1 , 1, 1, 1, 2, 5, 13, 34, 91, 251, 714, 2092, 6303, 19493, 61759, 200027, 660828 , 2222052, 7589022, 26275624, 92068121, 325983689, 1164769249, 4195153974, 15215895941, 55530099312, 203766878419, 751365150179, 2782639484770, 10345686293569, 38600494542060, 144482329712979, 542376383781354, 2041468203861456, 7702740135783508, 29128954653536797, 110384331581574955, 419108923965565443, 1594132598242721159, 6073614664941450689, 23176495038582768903, 88569272803311910874, 338933328881948714050, 1298691388439495311474, 4982253793907905140445, 19135702173294837135992, 73575723820626127022556, 283185726300923903180832, 1091017940977867531158369, 4207217182095544549489715], 328480416291564145249514561704206708507442532982679\ 9268395895875456201455495644298676969746036427346005005762290109506013924039172\ 1361786216318839301052852097278699113582913334160539206592993321146042030853771\ 3853358282117445889192276880721255796209839030231705981078188118561366815643221\ 9793850651881510065160957917558095286697530845798259869870172380680716873860821\ 7532878432281284407376490808870750050361543668701925869643265102823541901677278\ 3622265762127546566081562259669299742894992381828976765860341152480055188107163\ 5945442467294997459613418650994251674366036167402968814708926601133073] ---------------------------- (A,B)= , {2, 3, 4}, {3, 4} [P^2*x^5-2*P*x^6+x^7-2*P*x^5+2*x^6+P^2*x^3-P*x^4+x^5-2*P^2*x+2*P*x^2-x^3+P^2+2* P*x-x^2-2*P+1, (-1+(x^4+x^3)*C)/(C*x^3+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5) *a(n-1)+(-170*n^2+1304*n-1800)*a(n-2)+(226*n^2-2074*n+3780)*a(n-3)+(n+15)*(n+14 )*a(n-4)+(-178*n^2+1972*n-5280)*a(n-5)+(63*n^2-417*n+30)*a(n-6)+(-46*n^2+76*n+ 1416)*a(n-7)+(76*n^2-1396*n+7248)*a(n-8)+(-16*n^2+856*n-7200)*a(n-9)+(-4*n^2+ 112*n-744)*a(n-10)+8*(n-12)*(2*n-35)*a(n-11)-6*(n-11)*(n-14)*a(n-12)+12*(2*n-25 )*(n-14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 18, a(9) = 45, a(10) = 122, a(11) = 354, a(12) = 1084, a(13 ) = 3458}, [1, 1, 1, 1, 2, 4, 8, 18, 45, 122, 354, 1084, 3458, 11379, 38348, 131670, 458889, 1618872, 5769135, 20735878, 75078884, 273574534, 1002433018, 3691281207, 13652372422, 50693499962, 188904707823, 706214223856, 2647947813867 , 9955284948941, 37521015246216, 141738728886746, 536563910351055, 2035201074293395, 7733694636843407, 29437940387316452, 112233005848500961, 428531883562050570, 1638534667812222057, 6273388130046401008, 24048604822003888486, 92297246294968796318, 354626435363335842458, 1363991102966831374763, 5251538613785139661020, 20238320779022837725116, 78064783120688319238391, 301376880397313514634004, 1164451568505634053256169, 4502704669354042720866647], 390215338421076844828989124890555195484167445304815\ 0732424832333369561387176537762930689573838452489833552281857230028164028596278\ 7321034668894276715065453181036524110675091432071613794323461013686105648665368\ 2761087377610930427985291854975049173182374862065375241853848869180745719526407\ 9196709564814850805415373463119745551526365128025845432039450859752332154240583\ 3660479447262610466027988538958640941344374281538712992145166153212806796996963\ 8921136570492917787533339285455475640987330937982670200513767633707640052998095\ 4349893093190154785750170744550184137490291588074989080689011596339608] ---------------------------- (A,B)= , {2, 3, 4}, {3, 5} [P^2*x^7-2*P*x^8+x^9-4*P*x^7+4*x^8-P^2*x^5+5*x^7+7*P^2*x^4-7*P*x^5+4*x^6-9*P^2* x^3-6*P*x^4+6*x^5+9*P^2*x^2+8*P*x^3+x^4-5*P^2*x-10*P*x^2-2*x^3+P^2+8*P*x+2*x^2-\ 2*P-3*x+1, ((x^5+x^4+x^2)*C+x^4+x^3+x-1)/((x^4-x^3+x^2)*C+x^3-x^2+2*x-1), {-5*n *(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-574*n^2+4796*n-6996)*a(n-2)+(2188*n^2-\ 21578*n+43260)*a(n-3)+(-5193*n^2+58467*n-145308)*a(n-4)+(8361*n^2-105027*n+ 306468)*a(n-5)+(-9775*n^2+135419*n-450168)*a(n-6)+(8422*n^2-128804*n+481152)*a( n-7)+(-5053*n^2+86129*n-360972)*a(n-8)+(1966*n^2-39488*n+194664)*a(n-9)+(-318*n ^2+11430*n-82476)*a(n-10)+(-199*n^2+1643*n+2532)*a(n-11)+(165*n^2-4275*n+33456) *a(n-12)+(-218*n^2+7300*n-62076)*a(n-13)+(230*n^2-8020*n+68760)*a(n-14)+(-65*n^ 2+2041*n-16056)*a(n-15)+(26*n^2-778*n+5832)*a(n-16)+20*(2*n-31)*(n-18)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 12, a(8 ) = 29, a(9) = 73, a(10) = 192, a(11) = 526, a(12) = 1498, a(13) = 4426, a(14) = 13529, a(15) = 42636, a(16) = 138016, a(17) = 457227}, [1, 1, 1, 1, 2, 5, 12, 29, 73, 192, 526, 1498, 4426, 13529, 42636, 138016, 457227, 1544924, 5308200, 18498265, 65240584, 232450128, 835464067, 3025436257, 11027588277, 40425093583, 148938070149, 551187536315, 2047980374321, 7636777292564, 28569530488501, 107195430978137, 403290826865741, 1521010582928565, 5749535444642499, 21779339454006604, 82661132419459909, 314299138105948083, 1197062751292356715, 4566406615872851303, 17445076457528738765, 66737903522512876854, 255645373901888583950, 980474844019355316034, 3764768930687436748561, 14471589153705121506941, 55685871459744192713883, 214487281592775117336182, 826921700840294082678385, 3190903932078038482495298], 2550471254442648803360219\ 5123426141270259383022641908507717877778288091631956950030578524115190329105651\ 6613606574753397524004283287001390125057210723495040306983579764098186557688972\ 3912942705789115757102074190114592351168201085221870926640785340381189888472627\ 2310225187179404580060733037296643499231400429910246587414529420222023059091304\ 2965601294853202016384193768202981048369399835678073905900274212234207253964263\ 0174080903578841218023110245774880129455611393397092883935094526613946498339158\ 4309751018513048877764017087154004631915482754952927513055515865737530464773591\ 10602328691552631] ---------------------------- (A,B)= , {2, 3, 4}, {4, 5} [x^9-2*P*x^7+4*x^8+P^2*x^5-6*P*x^6+7*x^7+2*P^2*x^4-9*P*x^5+8*x^6+3*P^2*x^3-4*P* x^4+5*x^5-2*P^2*x^2-x^4-2*P^2*x+6*P*x^2-3*x^3+P^2+2*P*x-3*x^2-2*P+1, ((x^5+x^4+ x^3)*C+x^4+x^3+x^2-1)/(C*x^3+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1 )-3*(65*n-116)*(n-7)*a(n-2)+(113*n^2-1285*n+2208)*a(n-3)+(532*n^2-5984*n+15576) *a(n-4)+(-552*n^2+7086*n-20220)*a(n-5)+(-606*n^2+8922*n-32232)*a(n-6)+(353*n^2-\ 5803*n+21156)*a(n-7)+(572*n^2-10504*n+49080)*a(n-8)+(206*n^2-3838*n+19128)*a(n-\ 9)+(-276*n^2+6960*n-44304)*a(n-10)+(-158*n^2+3982*n-25488)*a(n-11)+(40*n^2-1448 *n+12384)*a(n-12)+(58*n^2-1730*n+12912)*a(n-13)+12*(2*n-29)*(n-16)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 17 , a(9) = 38, a(10) = 90, a(11) = 227, a(12) = 610, a(13) = 1740, a(14) = 5231}, [1, 1, 1, 1, 2, 4, 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412 , 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621, 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251], 1172793326945742781486189640084168674807207963605609738248028759452651167077023\ 3162517018821521533791643121275035108652158748562552090900156291670954477127591\ 0210237703332305629892505474298994101563957884580016483144256218060929774656403\ 6112468150318207854752349461411967748412195863309654106500158371569273052630381\ 2354533441323292811474489755641902935837597999405283851382802549981118125830848\ 3209316123288523662150121351700384520407926956798387743761970258838588669913248\ 4724310044330689389715891110929463453223750211456171088133737976213462377663257\ 326255920472783187092135461541536353503749] ---------------------------- (A,B)= , {2, 3, 4}, {1, 2, 3} [P^2*x^8-2*P^2*x^5+3*P^2*x^4-P^2*x^3-2*P*x^4+P^2*x^2+P*x^3-2*P^2*x+P^2+2*P*x-2* P+1, -1/(C*x^4-x^4+x-1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)+(-133*n^2+ 879*n-1160)*a(n-2)+(219*n^2-1719*n+2976)*a(n-3)+(-191*n^2+1587*n-3112)*a(n-4)+( 202*n^2-1422*n+2168)*a(n-5)+(-306*n^2+2202*n-2928)*a(n-6)+(250*n^2-2052*n+3248) *a(n-7)+(-73*n^2+657*n-1160)*a(n-8)+(14*n^2+114*n-1112)*a(n-9)+(-46*n^2+30*n+ 1696)*a(n-10)+(24*n^2-108*n-480)*a(n-11)-2*(n-8)*(n-10)*a(n-13)+4*(2*n-19)*(n-\ 10)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a( 7) = 13, a(8) = 35, a(9) = 99, a(10) = 296, a(11) = 927, a(12) = 3007, a(13) = 10016, a(14) = 34053}, [1, 1, 1, 1, 2, 5, 13, 35, 99, 296, 927, 3007, 10016, 34053, 117681, 412135, 1459409, 5216381, 18794469, 68185586, 248873901, 913231007, 3366968563, 12466320485, 46333460494, 172802971106, 646505177709, 2425711782215, 9125351144866, 34412193534041, 130061022061957, 492586562173387, 1869195549139564, 7105693378976505, 27057408625918244, 103192320944869283, 394137518180823153, 1507471064960241603, 5773191527449966919, 22136893161836024132, 84980973077602194855, 326590863455926978889, 1256431328865008251650, 4838412320876630820245, 18649839497554763142295, 71950809799724810886675, 277821786176646220347909, 1073618210446057374057911, 4152125623768452781927058, 16069904193533146966836110], 14459817689752061141624\ 5242377939319740340263449015526410613482538591851978513540823710820331850354101\ 5169376846174308443435339396806776282266368571258629400635410693075930880447434\ 0010350684317932168390155966831435383949734876033557430014573186994966418397957\ 1340528286029167891548318980333641205848202969159430775982661269563713370769030\ 2569063321249337542038683001166950107459970633708234009081786270055352812304462\ 5934657225179942063387607645035622327257639644755588085431727902626515076289912\ 9903390224707440119217692296622698607037146050521674628826176544519340461826895\ 79508629883001415505] ---------------------------- (A,B)= , {2, 3, 4}, {1, 2, 4} [P^2*x^9-2*P^2*x^7+2*P^2*x^6+2*P^2*x^5-2*P*x^6-3*P^2*x^4+3*P*x^4+3*P^2*x^2-2*P* x^3-3*P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+1, (C*x^2-1)/((x^5-x^3+x^2)*C+x-1), {-4 *n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1)+(-258*n^2+1932*n-2688)*a(n-2)+(627*n^2-\ 5613*n+10602)*a(n-3)+(-783*n^2+8217*n-19290)*a(n-4)+(322*n^2-4492*n+13476)*a(n-\ 5)+(455*n^2-4271*n+9810)*a(n-6)+(-688*n^2+8818*n-28200)*a(n-7)+(124*n^2-4048*n+ 22680)*a(n-8)+(413*n^2-2867*n-3414)*a(n-9)+(-302*n^2+3506*n-6708)*a(n-10)+(-50* n^2-376*n+5832)*a(n-11)+(111*n^2-447*n-5490)*a(n-12)+(-38*n^2+410*n-108)*a(n-13 )+(49*n^2-1471*n+10362)*a(n-14)+(-34*n^2+982*n-6900)*a(n-15)-2*(7*n-78)*(n-13)* a(n-16)+12*(2*n-25)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 9, a(8) = 21, a(9) = 53, a(10) = 145, a(11) = 424, a (12) = 1306, a(13) = 4182, a(14) = 13793, a(15) = 46543, a(16) = 159913, a(17) = 557477}, [1, 1, 1, 1, 2, 4, 9, 21, 53, 145, 424, 1306, 4182, 13793, 46543, 159913, 557477, 1966790, 7008525, 25187057, 91179065, 332175308, 1216910503, 4480147727, 16566751790, 61503332462, 229144735743, 856501444657, 3210919576535 , 12069959637379, 45484395413555, 171796983035170, 650265707501207, 2466165149638928, 9370227755875156, 35663298791356562, 135952795766928688, 519046749278054093, 1984435248242885138, 7597023149384424774, 29120113956807637714, 111752074995413222068, 429341912989895218510, 1651241526530311167796, 6357025738172673001620, 24496926095039558018308, 94485087343119833740725, 364745755345611867840473, 1409207941062791843638894, 5448808218696523689164381], 470943884090654804274618199164561223398130207467683\ 1917911964875196899179514570295408141770564973161415180776705330885354305150076\ 6080353692808651189496371369669964012885614957167496477167978223837784621984282\ 2521568804008160166682942785479311231074101436844032471364309907510243241238166\ 9772380332911871055087537060935538559489695893899147678135969300819151907768151\ 5184582287129145705303597356287957164800727489273090822728857011960553686986217\ 6221594699512374664594229076211144426348602551070293121243551055304608315504977\ 1842014601772861718726841989149483080236158909410283568471609748537128] ---------------------------- (A,B)= , {2, 3, 4}, {1, 2, 5} [P^2*x^11+2*P^2*x^10-2*P^2*x^9-4*P^2*x^8+3*P^2*x^7-2*P*x^8+9*P^2*x^6-6*P*x^7-5* P^2*x^5-2*P*x^6-7*P^2*x^4+9*P*x^5+4*P^2*x^3+2*P*x^4+x^5+6*P^2*x^2-12*P*x^3+4*x^ 4-5*P^2*x-4*P*x^2+5*x^3+P^2+8*P*x-x^2-2*P-3*x+1, ((x^3+x^2)*C+x^2+x-1)/((x^6-x^ 4+x^2)*C+x^5-x^3+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-550*n^2+ 4622*n-6744)*a(n-2)+(1806*n^2-18138*n+36432)*a(n-3)+(-2756*n^2+32476*n-81096)*a (n-4)+(432*n^2-7764*n+22392)*a(n-5)+(3835*n^2-53987*n+186120)*a(n-6)+(-2195*n^2 +41923*n-179856)*a(n-7)+(-4610*n^2+62110*n-208560)*a(n-8)+(4290*n^2-73278*n+ 312888)*a(n-9)+(2637*n^2-34005*n+90504)*a(n-10)+(-3356*n^2+61636*n-282096)*a(n-\ 11)+(-1175*n^2+7747*n+46056)*a(n-12)+(1769*n^2-32545*n+151104)*a(n-13)+(57*n^2+ 9987*n-125760)*a(n-14)+(-522*n^2+9174*n-38376)*a(n-15)+(344*n^2-14344*n+130584) *a(n-16)+(70*n^2-1838*n+12816)*a(n-17)+(-286*n^2+9242*n-74256)*a(n-18)+(-11*n^2 +535*n-5664)*a(n-19)+(130*n^2-4190*n+33720)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 13, a(8 ) = 34, a(9) = 90, a(10) = 245, a(11) = 689, a(12) = 2002, a(13) = 6000, a(14) = 18503, a(15) = 58562, a(16) = 189722, a(17) = 627483, a(18) = 2113362, a(19) = 7231399, a(20) = 25086474, a(21) = 88070178}, [1, 1, 1, 1, 2, 5, 13, 34, 90, 245, 689, 2002, 6000, 18503, 58562, 189722, 627483, 2113362, 7231399, 25086474, 88070178, 312393204, 1118071188, 4033047316, 14647754514, 53521225605, 196605959641, 725649882428, 2689673940898, 10007554739904, 37363891683140, 139937387441104, 525596977325018, 1979267729304937, 7471310587561093, 28264963432032943, 107148850108301553, 406958384966971141, 1548383794348809731, 5900950172674772930, 22523384749108809996, 86093791286825257390, 329532648163868551740, 1262928833396869809079, 4845978802825300684380, 18615615353185136796124, 71587956276629181857577, 275578134266066361875963, 1061864763755695804004023, 4095363623360425661773867], 321194474196239051610401\ 9855236351777569453873691642294452217454591251171862955323971871225041451267584\ 0192831792267913566629464785307009396830055908506353845096768444322016476438376\ 8063282404696295501615486813135781372263312083511788326786997758092086930700720\ 7386897230391199922644343897979816431661399088498167149229391147260297984825469\ 7891850795121049319053983382815342309553071482711460890667320727608648850392817\ 3130992835350642590319229646003344265965704089883806150124252598133231729794513\ 7862600926673314551288806982649413121023123783244677352463599939671175904042408\ 947507616713564460] ---------------------------- (A,B)= , {2, 3, 4}, {1, 3, 4} [P^2*x^9-2*P^2*x^8+3*P^2*x^7-2*P^2*x^6-2*P*x^7+2*P^2*x^5+2*P*x^6-2*P^2*x^4-2*P* x^5+2*P^2*x^3+P*x^4+x^5-2*P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-x^2-2*P+1, (C*x^3-1)/ ((x^5-x^4+x^3)*C+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-170*n^2+1304 *n-1800)*a(n-2)+(221*n^2-2045*n+3738)*a(n-3)+(58*n^2-418*n+1092)*a(n-4)+(-398*n ^2+4058*n-10260)*a(n-5)+(392*n^2-3740*n+8304)*a(n-6)+(-219*n^2+759*n+4674)*a(n-\ 7)+(141*n^2+1521*n-18966)*a(n-8)+(-168*n^2-1974*n+26508)*a(n-9)+(170*n^2+160*n-\ 12132)*a(n-10)+(-122*n^2+2456*n-16392)*a(n-11)+(95*n^2-3887*n+32118)*a(n-12)+(-\ 136*n^2+4720*n-36072)*a(n-13)+(231*n^2-6387*n+43638)*a(n-14)-8*(n-13)*(34*n-477 )*a(n-15)+(237*n^2-6609*n+45954)*a(n-16)+(-126*n^2+3594*n-25500)*a(n-17)+20*(2* n-27)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6 ) = 4, a(7) = 8, a(8) = 18, a(9) = 44, a(10) = 118, a(11) = 342, a(12) = 1048, a(13) = 3349, a(14) = 11042, a(15) = 37278, a(16) = 128188, a(17) = 447306, a( 18) = 1579604}, [1, 1, 1, 1, 2, 4, 8, 18, 44, 118, 342, 1048, 3349, 11042, 37278, 128188, 447306, 1579604, 5633864, 20263572, 73410922, 267626779, 981047196, 3613831542, 13370119986, 49659181768, 185095824178, 692126504798, 2595637142599, 9760353525990, 36792273612315, 139006339836142, 526291286157748, 1996484588289628, 7587442266409318, 28884299084987304, 110133066397513822, 420552326207460598, 1608161399497422442, 6157591190468440455, 23606472656007895348, 90606738306523749890, 348154166801181838698, 1339180506211391668136, 5156318388671389358528, 19872469236447806903722, 76657638171579988461645, 295959272529349432798014, 1143573545416524280035375, 4422173475778665768916178], 383901334250501007916104040710193478858039281295384\ 2106714917318561495344790213439798835670796278194163819831273684419165816581787\ 5488942709560049941949224237474106816457161419168184901642376481696965303308948\ 0514826995576364666484534957302837120174259674634331333043364918708608110669745\ 9966239895365010960777686155877323196357739661161432281968651270319590255593285\ 3276862110725370593100314607867571676645070884207295894082519840841288980336414\ 3416295739960932747710455234755575549177346062966133501162068022588325472802344\ 4213280747038793310490003651682789278630497858055744973466968003648849] ---------------------------- (A,B)= , {2, 3, 4}, {1, 3, 5} [P^2*x^11-P^2*x^9+2*P^2*x^8-2*P*x^9-3*P^2*x^7-2*P*x^8+9*P^2*x^6-11*P^2*x^5-4*P* x^6+x^7+10*P^2*x^4+7*P*x^5+2*x^6-9*P^2*x^3-12*P*x^4+2*x^5+9*P^2*x^2+8*P*x^3+4*x ^4-5*P^2*x-10*P*x^2-2*x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, ((x^4+x^2)*C+x^3+x-1)/((x^ 6-x^5+x^4-x^3+x^2)*C+x^5-x^4+x^3-x^2+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456 )*a(n-1)+(-574*n^2+4796*n-6996)*a(n-2)+(2188*n^2-21578*n+43260)*a(n-3)+(-5211*n ^2+58593*n-145524)*a(n-4)+(8630*n^2-107416*n+311724)*a(n-5)+(-11378*n^2+152380* n-494724)*a(n-6)+(13389*n^2-188931*n+661536)*a(n-7)+(-13983*n^2+206421*n-760584 )*a(n-8)+(12182*n^2-189292*n+731256)*a(n-9)+(-8819*n^2+145225*n-592440)*a(n-10) +(5612*n^2-97120*n+417864)*a(n-11)+(-3099*n^2+58863*n-289860)*a(n-12)+(1175*n^2 -28765*n+187872)*a(n-13)+(-175*n^2+10637*n-106176)*a(n-14)+(54*n^2-8748*n+ 108516)*a(n-15)+(-230*n^2+13192*n-143904)*a(n-16)+(270*n^2-12600*n+129372)*a(n-\ 17)+(-114*n^2+4560*n-43824)*a(n-18)+(121*n^2-4301*n+38112)*a(n-19)+(-74*n^2+ 2602*n-22776)*a(n-20)+(10*n^2-314*n+2496)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 12, a(8) = 29, a(9) = 72, a(10) = 186, a(11) = 503, a(12) = 1422, a(13) = 4188, a(14) = 12797, a(15) = 40388, a(16) = 131062, a(17) = 435450, a(18) = 1475693, a(19) = 5084485, a(20) = 17763304, a(21) = 62787178, a(22) = 224136906}, [1, 1, 1, 1, 2 , 5, 12, 29, 72, 186, 503, 1422, 4188, 12797, 40388, 131062, 435450, 1475693, 5084485, 17763304, 62787178, 224136906, 806906962, 2926121442, 10678378539, 39185200088, 144497770904, 535165038188, 1989776179033, 7424084856771, 27788195426783, 104311637416214, 392602217386290, 1481243259219005, 5601071045212465, 21223342181334816, 80572997632884603, 306436361573658204, 1167384832100607501, 4454140079333397962, 17019522217986116038, 65121747069928213674, 249496739920071934166, 957043924602861082913, 3675341819485265801437, 14129785744242025513535, 54377675241106190501663, 209473977062417144857391, 807686427262383329693386, 3117017145626612916171345], 2500520626774170850507293271001523838812787289083277463109148007772531238382062\ 6860265240140070706918883864071265993896610525399168106940195022334646146624080\ 4472931399001692494991270961182288722033610494209652579286798074141093577899973\ 4014279565077094867960541970958322014187940057650100556857230491459624793545628\ 3927896196214686084893029684579853457395225900572360545009456847330772528022463\ 0538845799446314070337899465626452114507599905676525297863613660119233517834140\ 8036190481930166098172344600301357214431944576881420732965847080579252141628703\ 020742306087346594386861733155414575289978] ---------------------------- (A,B)= , {2, 3, 4}, {1, 4, 5} [P^2*x^11-3*P^2*x^9+4*P^2*x^8-2*P*x^9+2*P^2*x^7-4*P*x^8-P^2*x^6+2*P*x^7-5*P^2*x ^5+2*P*x^6+x^7+5*P^2*x^4-3*P*x^5+4*x^6+3*P^2*x^3-10*P*x^4+5*x^5-2*P^2*x^2+2*x^4 -2*P^2*x+6*P*x^2-3*x^3+P^2+2*P*x-3*x^2-2*P+1, ((x^4+x^3)*C+x^3+x^2-1)/((x^6-x^5 +x^3)*C+x^5-x^4+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)-3*(65*n-116 )*(n-7)*a(n-2)+(113*n^2-1285*n+2208)*a(n-3)+(514*n^2-5858*n+15360)*a(n-4)+(-348 *n^2+5238*n-16044)*a(n-5)+(-1352*n^2+17026*n-54324)*a(n-6)+(1096*n^2-14846*n+ 48948)*a(n-7)+(1444*n^2-23666*n+98484)*a(n-8)+(-1012*n^2+18236*n-82632)*a(n-9)+ (-1475*n^2+21355*n-74664)*a(n-10)+(1256*n^2-22174*n+106692)*a(n-11)+(630*n^2-\ 4698*n-28848)*a(n-12)+(-972*n^2+20382*n-120924)*a(n-13)+(82*n^2-10358*n+125688) *a(n-14)+(603*n^2-13959*n+89304)*a(n-15)+(-336*n^2+12876*n-118128)*a(n-16)+(-\ 366*n^2+10218*n-72864)*a(n-17)+(496*n^2-16436*n+135888)*a(n-18)+(86*n^2-3562*n+ 35448)*a(n-19)+(-232*n^2+8108*n-70608)*a(n-20)+(50*n^2-1654*n+13656)*a(n-21)+28 *(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 17, a(9) = 37, a(10) = 86, a(11) = 215, a(12) = 576, a(13) = 1647, a(14) = 4976, a(15) = 15717, a(16) = 51402, a(17) = 172683, a(18) = 592291, a(19) = 2064813, a(20) = 7292160, a(21) = 26026332, a(22) = 93706965} , [1, 1, 1, 1, 2, 4, 8, 17, 37, 86, 215, 576, 1647, 4976, 15717, 51402, 172683, 592291, 2064813, 7292160, 26026332, 93706965, 339893657, 1240711034, 4554019546 , 16796793146, 62219734073, 231367979972, 863347778330, 3231724703752, 12131859572650, 45662456625028, 172281148704048, 651450762567675, 2468418877525738, 9370991013314973, 35638902399008802, 135763746662066036, 517985507522952228, 1979172753513393798, 7572581368468071589, 29011058947733773703, 111278389826874174495, 427323314954160836885, 1642759925300951275278, 6321770560449904024957, 24351613177961746578091, 93890160510005371930767, 362323299548907336867671, 1399388069059299465857870], 1157141761780143601464638710640529210907380388985283988766224814851029810591399\ 7605376853409162870123560386077100905589955270541004000277568823027682620813549\ 5722982103348153767938797634264430380542256812492533264552263418048345365439597\ 8574896677559962706151221296272294486327410219242035051042132575724801589948110\ 6365023872618852013570471130911323360332553227759465157922404921525251234956345\ 5736721415591988515314598315500796550996495538307851091289650551995171333341382\ 5287080479736989670225266673160570411524817070115314190109234947771468414814473\ 629273937730819805336158906455390227106357] ---------------------------- (A,B)= , {2, 3, 4}, {2, 3, 4} [P^2*x^7-2*P*x^7+x^7+P^2*x^4-P^2*x^3-P*x^4+P^2*x^2+2*P*x^3-2*P^2*x-x^3+P^2+2*P* x-2*P+1, (C*x^4-1)/(C*x^4+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-176 *n^2+1340*n-1848)*a(n-2)+(294*n^2-2616*n+4788)*a(n-3)+(-263*n^2+2573*n-5670)*a( n-4)+(237*n^2-2493*n+6450)*a(n-5)+(-219*n^2+2625*n-7986)*a(n-6)+(99*n^2-1473*n+ 5526)*a(n-7)+(-30*n^2+1188*n-7656)*a(n-8)+(18*n^2-2118*n+18048)*a(n-9)+(-52*n^2 +2458*n-20460)*a(n-10)+(55*n^2-1699*n+12534)*a(n-11)+(-37*n^2+1339*n-10746)*a(n -12)+(36*n^2-1098*n+8220)*a(n-13)+3*(n-11)*(n-14)*a(n-14)-2*(11*n-134)*(n-15)*a (n-15)+20*(2*n-27)*(n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 17, a(9) = 41, a(10) = 110, a(11) = 319, a (12) = 979, a(13) = 3134, a(14) = 10352, a(15) = 35009, a(16) = 120566}, [1, 1, 1, 1, 2, 4, 8, 17, 41, 110, 319, 979, 3134, 10352, 35009, 120566, 421243, 1489158, 5316091, 19135412, 69369966, 253041234, 928049957, 3420135181, 12658522935, 47032870341, 175362731199, 655921223495, 2460505169287, 9254437327432, 34892860914844, 131856760841117, 499315511805554, 1894479540277572, 7200938049544672, 27417030843833831, 104553098106315774, 399296861429393083, 1527068902935649198, 5847763191099882964, 22421105148907369959, 86065822534793310761, 330737679965006352898, 1272303697984896366646, 4899242178805735036933, 18883244039791749234179, 72847394067510997521449, 281269540675987528769747, 1086889742915911973992570, 4203261211580838734403485], 365886869115722578942679111615301320837799134791631\ 2824057878769371390928442161411219031663529624815393643902869824915584821413296\ 9200936916049866716058650949629750868981601083902954411655733611424598143840920\ 3793971238686798321943303358960659432645631078864934638876387491340401877206145\ 4333917895902561855608443990358121515222223607492090725132342302823296617411102\ 4097516233715540690252934521005192630664768932649192738070434633083383975101864\ 7481734008026198544761041666936492596642352839947054995771031537159236753167531\ 6907713028900092044393186772213687425963714432394625858853948707889477] ---------------------------- (A,B)= , {2, 3, 4}, {2, 3, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9-2*P^2*x^7-4*P*x^8+x^9-2*P^2*x^6+2*P*x^7+2*x^8+8*P^2* x^5-3*P^2*x^4-11*P*x^5+2*x^6-6*P^2*x^3+8*P*x^4+4*x^5+9*P^2*x^2+2*P*x^3-3*x^4-5* P^2*x-10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, ((x^5+x^2)*C+x^4+x-1)/((x^5-x^3+x ^2)*C+x^4-x^2+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-574*n^2+4796 *n-6996)*a(n-2)+(2167*n^2-21419*n+42972)*a(n-3)+(-4878*n^2+55494*n-138468)*a(n-\ 4)+(6470*n^2-83920*n+248376)*a(n-5)+(-3868*n^2+60020*n-211152)*a(n-6)+(-2095*n^ 2+21743*n-56268)*a(n-7)+(5807*n^2-87733*n+334788)*a(n-8)+(-3823*n^2+70379*n-\ 326448)*a(n-9)+(-167*n^2-10235*n+120780)*a(n-10)+(1293*n^2-12027*n-29292)*a(n-\ 11)+(-256*n^2+2558*n+11376)*a(n-12)+(140*n^2-11932*n+133224)*a(n-13)+(-732*n^2+ 27312*n-242736)*a(n-14)+(335*n^2-9973*n+74748)*a(n-15)+(470*n^2-17002*n+151944) *a(n-16)+(-320*n^2+10780*n-90600)*a(n-17)+(-76*n^2+2756*n-24816)*a(n-18)+18*(9* n-148)*(n-19)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 12, a(8) = 28, a(9) = 67, a(10) = 169 , a(11) = 451, a(12) = 1267, a(13) = 3725, a(14) = 11397, a(15) = 36086, a(16) = 117600, a(17) = 392511, a(18) = 1336105, a(19) = 4622421, a(20) = 16208037}, [1, 1, 1, 1, 2, 5, 12, 28, 67, 169, 451, 1267, 3725, 11397, 36086, 117600, 392511, 1336105, 4622421, 16208037, 57472853, 205733208, 742418451, 2697799890, 9862664522, 36247767721, 133846094789, 496302540917, 1847214815481, 6898585409610, 25842741856988, 97081304274182, 365635896746875, 1380348124935455, 5222470233301441, 19798887051901865, 75200477127044481, 286127449352421468, 1090453881375700522, 4162158129600960423, 15909343525229951870, 60893511047320469550, 233367732100834369999, 895427663963093140485, 3439628897280887415503, 13226892499204340370127, 50914918071931669443709, 196178293236496180022595, 756580044756661434938620, 2920368753425302170156394], 235943964213924933373066345557272217369434665025149\ 7350876030726602516589320658034980315422661650755418197773989315830448236972223\ 1926104536003571079956642695769212892858001279901242605097893811333218895887886\ 8723019656026015278553243544282319195981287028895093097714595435049372330969756\ 6916805231179219409479236858054373255072862237574335915309308992474998903921518\ 3439182620116393358968592351528719731815269864892590226859686810316471817765605\ 3460047453650171042238726271960600146450378605653105838216482681592782884608139\ 0553397430236183077717884950236833075541791434262918659887697885703594] ---------------------------- (A,B)= , {2, 3, 4}, {2, 4, 5} [P^2*x^9-2*P*x^9-P^2*x^7-2*P*x^8+x^9+4*P^2*x^6+2*x^8-6*P*x^6+2*x^7-4*P^2*x^4-P* x^5+4*x^6+6*P^2*x^3+2*P*x^4+x^5-2*P^2*x^2-6*P*x^3-x^4-2*P^2*x+6*P*x^2+P^2+2*P*x -3*x^2-2*P+1, ((x^5+x^3)*C+x^4+x^2-1)/((x^5-x^4+x^3)*C+x^4-x^3+x^2+x-1), {-5*n* (n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)-3*(65*n-116)*(n-7)*a(n-2)+(92*n^2-1126*n+ 1920)*a(n-3)+(769*n^2-8249*n+20832)*a(n-4)+(-1414*n^2+16850*n-47328)*a(n-5)+( 202*n^2-1346*n-264)*a(n-6)+(1757*n^2-26347*n+96672)*a(n-7)+(-2155*n^2+32555*n-\ 120960)*a(n-8)+(720*n^2-12522*n+53484)*a(n-9)+(698*n^2-8788*n+21264)*a(n-10)+(-\ 534*n^2+5040*n+7620)*a(n-11)+(-118*n^2+6428*n-65280)*a(n-12)+(127*n^2-731*n-\ 8544)*a(n-13)+(296*n^2-12130*n+113928)*a(n-14)+(-295*n^2+10547*n-92976)*a(n-15) +(36*n^2-1266*n+10872)*a(n-16)+(241*n^2-8609*n+76584)*a(n-17)+(-74*n^2+2602*n-\ 22776)*a(n-18)+(10*n^2-314*n+2496)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 16, a(9 ) = 34, a(10) = 78, a(11) = 194, a(12) = 521, a(13) = 1498, a(14) = 4558, a(15) = 14500, a(16) = 47722, a(17) = 161160, a(18) = 555084, a(19) = 1941507, a(20) = 6874622}, [1, 1, 1, 1, 2, 4, 8, 16, 34, 78, 194, 521, 1498, 4558, 14500, 47722, 161160, 555084, 1941507, 6874622, 24587276, 88674874, 322085910, 1177061424, 4324599052, 15963907267, 59177225188, 220193426207, 822109325658, 3078891181932, 11563285750484, 43539971571938, 164333233716979, 621604291474326 , 2356046372820594, 8946895682040764, 34034832889725374, 129684242239691288, 494900220215636316, 1891357905232265975, 7237989502752479624, 27734232979905832505, 106398888699238980978, 408650542567268654150, 1571211930860261099372, 6047291022622137907058, 23297426513648022802083, 89837001726915186911178, 346723684594197705684980, 1339290655972750304980844], 1112110321365112198045628119244469609656414577868996995372151833486823638625272\ 7960277713365591406861887418465760870070286101264961769319798540669878372880540\ 1453552973015428772191707824938507767931894212120709016108903737310788595022404\ 5843900300803363232179215847828593303473454067532538131784398190613910650809541\ 8415169962681687138794163153089628021682454203735585908038166727017571443292466\ 4020622390118913659612840254148283606289263122966602166974532811816835458211987\ 3599626444605702724003333783495783792405944614007502661120607556165662309964879\ 757874614221496976434947154398473949221604] ---------------------------- (A,B)= , {2, 3, 4}, {3, 4, 5} [P^2*x^7-2*P*x^8+x^9+2*P^2*x^6-6*P*x^7+4*x^8-4*P*x^6+5*x^7+3*P^2*x^4-3*P*x^5+2* x^6-3*P^2*x^3+P^2*x^2+6*P*x^3-3*x^4-2*P^2*x-3*x^3+P^2+2*P*x-2*P+1, ((x^5+x^4)*C +x^4+x^3-1)/(C*x^4+x^3+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^ 2+1887*n-2688)*a(n-2)+(383*n^2-3769*n+7176)*a(n-3)+(-485*n^2+5125*n-12000)*a(n-\ 4)+(810*n^2-9540*n+27000)*a(n-5)+(-899*n^2+11767*n-37428)*a(n-6)+(575*n^2-7801* n+25512)*a(n-7)+(-702*n^2+11004*n-43284)*a(n-8)+(457*n^2-9479*n+49668)*a(n-9)+( -44*n^2+1456*n-10620)*a(n-10)+(171*n^2-3039*n+11616)*a(n-11)+(-49*n^2+2705*n-\ 25536)*a(n-12)+(-n^2+251*n-3948)*a(n-13)+(56*n^2-2272*n+21552)*a(n-14)+(77*n^2-\ 2365*n+18168)*a(n-15)+(130*n^2-4190*n+33720)*a(n-16)+20*(2*n-31)*(n-18)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 7, a(8) = 13, a(9) = 27, a(10) = 61, a(11) = 150, a(12) = 403, a(13) = 1169, a(14) = 3599, a(15) = 11583, a(16) = 38512, a(17) = 131156}, [1, 1, 1, 1, 2, 4, 7, 13, 27, 61, 150, 403, 1169, 3599, 11583, 38512, 131156, 454808, 1599406, 5688009, 20415648, 73846144, 268886415, 984707531, 3624429705, 13400417688, 49743616734, 185320438006, 692673217903, 2596721440785, 9761212961994, 36784690629965, 138940976231430, 525918303654136, 1994637613858311, 7578926166859712, 28846663593991367, 109971293234561821, 419870252303286763, 1605325688219597732, 6145925314433550567, 23558867713766553985, 90413708492115390228, 347375421686049671367, 1336051622010117627803, 5143788865316981719561, 19822432663526460089890, 76458271313870619630230, 295166414614522725772103, 1140425444350935745380041], 956133575284542782939059004536155517526159117339169\ 6166386786009845827206830386308521417184426662857324988134761237494913171992959\ 9173629157628780027721225359452943989172853116602224771114565501080844796968197\ 0419376573590523238041466321885392794256489123945582879670607660737051257632679\ 4879031471297160460520308623900103385571536647233921369537716712309115614928139\ 9753197200732627330394006692979680007916549575201593668407737712705238760155442\ 3944807766318157796096834368675442978124203825439072099065610952407034793962722\ 922526918359164714202313897894080823204242589620495718942932978432373] ---------------------------- (A,B)= , {2, 3, 4}, {1, 2, 3, 4} [P^2*x^9+P^2*x^5-P^2*x^4+P*x^4+P^2*x^2-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^5+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-176*n^2+1340*n-1848)*a(n-2)+(289*n^ 2-2587*n+4746)*a(n-3)-2*(103*n-342)*(n-7)*a(n-4)+(14*n^2-374*n+1380)*a(n-5)+( 141*n^2-1209*n+2238)*a(n-6)+(-163*n^2+1681*n-4038)*a(n-7)+(60*n^2-726*n+2100)*a (n-8)-3*(n+6)*(n-5)*a(n-9)+(32*n^2-134*n-300)*a(n-10)+(-94*n^2+772*n-1008)*a(n-\ 11)+28*(n-4)*(2*n-15)*a(n-12)-(n-10)*(n-9)*a(n-14)+2*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 17, a(9) = 40, a(10) = 106, a(11) = 307, a(12) = 945, a(13) = 3035, a(14) = 10051, a(15) = 34060}, [1, 1, 1, 1, 2, 4, 8, 17, 40, 106, 307, 945, 3035, 10051 , 34060, 117485, 410995, 1454381, 5196110, 18715802, 67885729, 247740797, 908966243, 3350940511, 12406087641, 46106945864, 171950138792, 643289723528, 2413569886916, 9079429424250, 34238237485867, 129401027081981, 490078697651332, 1859652038321744, 7069324582200213, 26918624004762913, 102662022685219634, 392108711548702961, 1499700035676371271, 5743391915896417676, 22022496179630292313, 84541361378151741309, 324899821035769238271, 1249920274979000381815, 4813319956838452745903, 18553054433511639473373, 71577185173035338954084, 276378315871551944867768, 1068037222453008799815904, 4130531695092207284452917], 360151551475691769449035666743351132560685740659043\ 3825136931134511095691172028536303867007652426805123695181129959307002693404709\ 8575975084111106902717441259030784165299807905196143003980355485776708534565267\ 3575701500859001157070565535449512646752540418171238160470401634958767716563002\ 8077712742491674529009515054877071814084717395804384312625045527189709946636077\ 4875702025219503117069930678086044983600747079838196119780865965223547050439695\ 4460873269070949918261794009874178899519441225835427443406758301408290341971531\ 8727320500673419395731811056261429777347593697366098301490711086014600] ---------------------------- (A,B)= , {2, 3, 4}, {1, 2, 3, 5} [P^2*x^11+2*P^2*x^10-2*P^2*x^8-2*P^2*x^7+7*P^2*x^6-2*P*x^7-2*P^2*x^5-4*P*x^6+3* P*x^5-6*P^2*x^3+2*P*x^4+9*P^2*x^2+2*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+8*P*x+2*x^2-\ 2*P-3*x+1, (C*x^2+x-1)/((x^6-x^3+x^2)*C+x^5-x^2+2*x-1), {-5*n*(n-5)*a(n)+(83*n^ 2-559*n+456)*a(n-1)+(-574*n^2+4796*n-6996)*a(n-2)+(2167*n^2-21419*n+42972)*a(n-\ 3)+(-4896*n^2+55620*n-138684)*a(n-4)+(6739*n^2-86309*n+253632)*a(n-5)+(-5471*n^ 2+76981*n-255708)*a(n-6)+(2833*n^2-38087*n+123948)*a(n-7)+(-2600*n^2+27364*n-\ 56448)*a(n-8)+(3790*n^2-48632*n+140520)*a(n-9)+(-2625*n^2+42897*n-172488)*a(n-\ 10)+(233*n^2-8509*n+64704)*a(n-11)+(127*n^2-2741*n+4764)*a(n-12)+(505*n^2-6467* n+17076)*a(n-13)+(-258*n^2+6096*n-33912)*a(n-14)+(-77*n^2-1415*n+25704)*a(n-15) +(24*n^2+24*n-3984)*a(n-16)+(-21*n^2+879*n-7980)*a(n-17)+6*(n-12)*(n-11)*a(n-18 )+10*(n-15)*(5*n-76)*a(n-19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 1, a(2) = 1 , a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 12, a(8) = 28, a(9) = 66, a(10 ) = 163, a(11) = 428, a(12) = 1193, a(13) = 3503, a(14) = 10743, a(15) = 34147, a(16) = 111753, a(17) = 374505, a(18) = 1279411, a(19) = 4439975, a(20) = 15608739}, [1, 1, 1, 1, 2, 5, 12, 28, 66, 163, 428, 1193, 3503, 10743, 34147, 111753, 374505, 1279411, 4439975, 15608739, 55467181, 198908479, 718855878, 2615416465, 9571459935, 35208661486, 130107717181, 482756526697, 1797822195165, 6717487561838, 25175482719351, 94611987055976, 356461749748487, 1346142745077094, 5094526306545253, 19318913548782298, 73395054285188339, 279319602113117674, 1064724683484378623, 4064714334338535780, 15539576911407677046, 59487826687133602423, 228014924732105894872, 875012099072384788356, 3361648754627473168485, 12928621981855266711650, 49772553687709222041395, 191797684652405250347023, 739762216932108234289786, 2855731388673380514025018], 231496889938217344750280967616603360479171505912192\ 0389554319052420170510964584424046240038576537079970722740488425104633352846953\ 8182359867033598339812734223392688660490338489762139306502595043029802946086093\ 8722862098965585760417287308887542723281189014846618610913747716823256883033343\ 1436254131666303346284021334740992299637807051750066300540043241347605330720094\ 7623925648984675670119601530890914059021382191509842828390845696910457578958964\ 9160392275578922376846944415218021035933879773879905511269404475510357503555623\ 6785784918081044528624415711681972349759247241600761903427978709437813] ---------------------------- (A,B)= , {2, 3, 4}, {1, 2, 4, 5} [P^2*x^11+2*P^2*x^10-2*P^2*x^9-2*P^2*x^8+5*P^2*x^7-2*P*x^8+3*P^2*x^6-4*P*x^7-6* P^2*x^5+2*P*x^6-P^2*x^4+5*P*x^5+6*P^2*x^3-4*P*x^4+x^5-2*P^2*x^2-6*P*x^3+2*x^4-2 *P^2*x+6*P*x^2+P^2+2*P*x-3*x^2-2*P+1, (C*x^3+x^2-1)/((x^6-x^4+x^3)*C+x^5-x^3+x^ 2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)-3*(65*n-116)*(n-7)*a(n-2)+(92 *n^2-1126*n+1920)*a(n-3)+(751*n^2-8123*n+20616)*a(n-4)+(-1210*n^2+15002*n-43152 )*a(n-5)+(-544*n^2+6758*n-22356)*a(n-6)+(2461*n^2-35093*n+124296)*a(n-7)+(-832* n^2+14702*n-62604)*a(n-8)+(-2195*n^2+31495*n-110916)*a(n-9)+(1612*n^2-28946*n+ 132000)*a(n-10)+(1101*n^2-11547*n+7416)*a(n-11)+(-1329*n^2+22521*n-95616)*a(n-\ 12)+(-145*n^2-4399*n+68364)*a(n-13)+(591*n^2-7635*n+11544)*a(n-14)+(-259*n^2+ 9671*n-81552)*a(n-15)+(48*n^2-4092*n+45408)*a(n-16)+(220*n^2-7304*n+59856)*a(n-\ 17)+(-168*n^2+5334*n-42192)*a(n-18)+(-61*n^2+2045*n-17064)*a(n-19)+2*(53*n-828) *(n-17)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a (4) = 1, a(5) = 2, a(6) = 4, a(7) = 8, a(8) = 16, a(9) = 33, a(10) = 74, a(11) = 182, a(12) = 489, a(13) = 1415, a(14) = 4339, a(15) = 13902, a(16) = 46020, a (17) = 156107, a(18) = 539480, a(19) = 1891630, a(20) = 6710519, a(21) = 24034459}, [1, 1, 1, 1, 2, 4, 8, 16, 33, 74, 182, 489, 1415, 4339, 13902, 46020 , 156107, 539480, 1891630, 6710519, 24034459, 86776746, 315467338, 1153691189, 4241217162, 15663812119, 58089154276, 216223155373, 807541606002, 3025177758994 , 11364375827496, 42800511897085, 161574625931299, 611280471808505, 2317298912342332, 8801084096139151, 33484793593777275, 127604706498659592, 487021829127001581, 1861452986741825765, 7124272883073783844, 27301091616736715295, 104746496879653259596, 402337600985830332875, 1547060245421256468976, 5954773274155145341205, 22942586470272830456786, 88474488126656174124945, 341486199460000962444359, 1319137006205197920689555], 1097653817269473232728472442189974029554604253896494195213818267821814592161553\ 8603176713258793911614328475017309686606512567781081493251911861207318076075566\ 8642013624551613624924812749113240397973310663282096819570872752707020567328254\ 0078722254907256571127739263423832783683525479162197080492841044996908306286045\ 8049379719301100560087879074575151978702871961307056978934419855100462201812716\ 2798431297550520611908202768420453882027342764281227474195763149603648312397077\ 7769386762269895193691122183179355653102719350511264211632820697315033543819027\ 877433015404553279105361967226149467458053] ---------------------------- (A,B)= , {2, 3, 4}, {1, 3, 4, 5} [P^2*x^11-P^2*x^9+4*P^2*x^8-2*P*x^9-3*P^2*x^7-2*P*x^8+5*P^2*x^6+2*P*x^7-6*P^2*x ^5-4*P*x^6+x^7+6*P^2*x^4+3*P*x^5+2*x^6-3*P^2*x^3-6*P*x^4+P^2*x^2+6*P*x^3-2*P^2* x-3*x^3+P^2+2*P*x-2*P+1, (C*x^4+x^3-1)/((x^6-x^5+x^4)*C+x^5-x^4+x^3+x-1), {-5*n *(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(383*n^2-\ 3769*n+7176)*a(n-3)+(-503*n^2+5251*n-12216)*a(n-4)+(1014*n^2-11388*n+31176)*a(n -5)+(-1697*n^2+20329*n-60396)*a(n-6)+(1910*n^2-23470*n+70896)*a(n-7)+(-2064*n^2 +27486*n-89988)*a(n-8)+(2296*n^2-33788*n+123060)*a(n-9)+(-2258*n^2+34948*n-\ 133440)*a(n-10)+(1671*n^2-28347*n+121104)*a(n-11)+(-841*n^2+14669*n-62100)*a(n-\ 12)+(320*n^2-3214*n-10212)*a(n-13)+(-49*n^2-169*n+8184)*a(n-14)+(-25*n^2-1573*n +30396)*a(n-15)+(124*n^2+280*n-29880)*a(n-16)+(-24*n^2-1626*n+30636)*a(n-17)+(-\ 88*n^2+3644*n-36000)*a(n-18)+(247*n^2-8783*n+77832)*a(n-19)+(-98*n^2+3334*n-\ 28344)*a(n-20)+(10*n^2-314*n+2496)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 7, a(8) = 13, a(9 ) = 26, a(10) = 57, a(11) = 140, a(12) = 379, a(13) = 1109, a(14) = 3444, a(15) = 11164, a(16) = 37319, a(17) = 127588, a(18) = 443667, a(19) = 1563359, a(20) = 5568030, a(21) = 20007331, a(22) = 72431995}, [1, 1, 1, 1, 2, 4, 7, 13, 26, 57, 140, 379, 1109, 3444, 11164, 37319, 127588, 443667, 1563359, 5568030, 20007331, 72431995, 263919813, 967065506, 3561172297, 13171802646, 48911789972, 182276009340, 681473401509, 2555331676725, 9607630977203, 36212718392271, 136803773802905, 517908489609328, 1964535800038791, 7465514417880082, 28418379262057280, 108350458624435402, 413724009608040963, 1581975812977870067, 6057064786823381406, 23220153296674304747, 89120660463693363026, 342432182476989002687, 1317128707683923431970, 5071260070472223568540, 19544110121737865592156, 75389034906135481156854, 291054342479572128520326, 1124595275631085918125984], 944600812474618076972648921079983241631603968856269\ 5457886184732611733074484973592497861976218836022366259443355583500987309682636\ 5969898666114929274085065211086257453524010905341674557173761874871130063975326\ 1461450289108360591181426361679592702682348544498712941894655778872546146049026\ 7180923742133098053149480407289519785398772529514562798164945513940618822130314\ 6577376119389572045257060709041367413391085558513478162561105414103962725746036\ 3077139787178440258487223917038225862914448207160087670915079498718452058281255\ 398315836742453409192926096787447258664222348575197521340664506658351] ---------------------------- (A,B)= , {2, 3, 4}, {2, 3, 4, 5} [P^2*x^9+2*P^2*x^8-2*P*x^9-4*P*x^8+x^9+2*x^8+3*P^2*x^5-3*P^2*x^4-3*P*x^5+6*P*x^ 4+P^2*x^2-3*x^4-2*P^2*x+P^2+2*P*x-2*P+1, (C*x^5+x^4-1)/(C*x^5+x^4+x-1), {-5*n*( n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(362*n^2-3610* n+6888)*a(n-3)+(-248*n^2+2860*n-6744)*a(n-4)+(-117*n^2+873*n-1728)*a(n-5)+(642* n^2-7404*n+21636)*a(n-6)+(-774*n^2+10368*n-35496)*a(n-7)+(302*n^2-4876*n+20220) *a(n-8)+(122*n^2-664*n-4200)*a(n-9)+(-377*n^2+4315*n-4164)*a(n-10)+(199*n^2-\ 3839*n+15828)*a(n-11)+(-38*n^2+2836*n-29568)*a(n-12)+(137*n^2-5185*n+45624)*a(n -13)+(-150*n^2+6042*n-55224)*a(n-14)+(33*n^2+141*n-9396)*a(n-15)+(168*n^2-6186* n+56136)*a(n-16)-2*(37*n-528)*(n-17)*a(n-17)+12*(5*n-82)*(n-18)*a(n-18)+18*(9*n -148)*(n-19)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 4, a(7) = 7, a(8) = 12, a(9) = 23, a(10) = 51, a( 11) = 127, a(12) = 347, a(13) = 1024, a(14) = 3205, a(15) = 10458, a(16) = 35136, a(17) = 120573, a(18) = 420440, a(19) = 1484661, a(20) = 5296535}, [1, 1 , 1, 1, 2, 4, 7, 12, 23, 51, 127, 347, 1024, 3205, 10458, 35136, 120573, 420440 , 1484661, 5296535, 19057170, 69067642, 251891446, 923708842, 3403795051, 12597071643, 46801696905, 174492260264, 652639285025, 2448113094432, 9207574330543, 34715361019753, 131183408400306, 496757231021103, 1884745453536148, 7163847751993694, 27275510460989494, 104012410649421994, 397228542655887221, 1519147385411085801, 5817389629022752678, 22304516261189728035, 85617829365859748038, 329014549344844541645, 1265669652915966163591, 4873677878328320986946, 18784646165196622807894, 72466799000592844910080, 279799242425144326947647, 1081205403696778164334571], 9112928512487782569917321637736419799715751115883029940173184557403448722614886\ 3488416061362520569618683902818418061987588378424316641288089147581934010692582\ 0690013872699643036148599162556438002240647293755838498125875844337657975281065\ 6679666098535038728893098931804671291701763971575664993883141380257682111652829\ 7393184215733487863888156988840150652111226649924671701792207416956287998668462\ 5055073876328221197297342328459663825397959767494604505688573868111049596574004\ 3472358736617323339914591932328600420396865329329615896730903952000851994131615\ 04090283150387610588276009210148535870708] ---------------------------- (A,B)= , {2, 3, 4}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^6-3*P^2*x^5+3*P*x^5+P^2*x^2-2*P^2*x+P^2+2*P*x-2*P+ 1, -1/(C*x^6+x^5+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887 *n-2688)*a(n-2)+(362*n^2-3610*n+6888)*a(n-3)+(-266*n^2+2986*n-6960)*a(n-4)+(87* n^2-975*n+2448)*a(n-5)-6*(26*n-37)*(n-6)*a(n-6)+(522*n^2-5004*n+9720)*a(n-7)+(-\ 609*n^2+6915*n-17532)*a(n-8)+(228*n^2-2994*n+9144)*a(n-9)-10*n*(n-5)*a(n-10)+( 96*n^2-858*n+1812)*a(n-11)+(-243*n^2+3123*n-10404)*a(n-12)+(58*n^2-1496*n+8232) *a(n-13)+36*(n-4)*(2*n-17)*a(n-14)-6*(n-12)*(n-11)*a(n-16)+3*(n-12)*(7*n-89)*a( n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a( 5) = 2, a(6) = 4, a(7) = 7, a(8) = 12, a(9) = 22, a(10) = 47, a(11) = 117, a(12 ) = 325, a(13) = 974, a(14) = 3080, a(15) = 10118, a(16) = 34152, a(17) = 117578, a(18) = 410932}, [1, 1, 1, 1, 2, 4, 7, 12, 22, 47, 117, 325, 974, 3080, 10118, 34152, 117578, 410932, 1453448, 5191402, 18696022, 67807823, 247442203, 907835697, 3346682927, 12390086015, 46046822218, 171724085759, 642438825604, 2410362418211, 9067320038088, 34192446627058, 129227593230426, 489420772690092, 1857152338377396, 7059813152161678, 26882380901209328, 102523729472121544, 391580331391918901, 1497678706994846908, 5735650014943934636, 21992809959787326602, 84427405627332109670, 324461925818504375599, 1248235909141011781055, 4806834871885215857763, 18528063081526893664055, 71480793060235804326375, 276006220120211327487836, 1066599701785405684340988], 9005594566140546389925005920835891270425091122848025141560190724320979456757069\ 2411374583036251308148136818062304609283584852590573109410764227253291740798281\ 1139117342064611175568344141761575658708727742586508399817704885707622459558746\ 9812491119346987541761456207438348275618852466767335155056623218714316558751089\ 9436464011174761547255449070727105641202549194259135902358083104133292007050021\ 8175591753710318006698615912857491951828767956852493589965948506022590641159827\ 3426752012497394658739196307979838028206558897646941985235423978935945600705244\ 39854054760285889081780575561605769202133] ---------------------------- (A,B)= , {2, 3, 5}, {} [P^2*x^3-2*P*x^4+x^5+2*P^2*x^2-3*P*x^3+2*x^4-3*P^2*x+x^3+P^2+4*P*x-x^2-2*P-x+1, (-x^3-C*x-x^2+1)/((x^2-x)*C-x^2-x+1), {-3*n*(n-3)*a(n)+(39*n^2-189*n+144)*a(n-1 )+(-188*n^2+1224*n-1624)*a(n-2)+(413*n^2-3315*n+5944)*a(n-3)+(-390*n^2+3738*n-\ 8256)*a(n-4)+(38*n^2-480*n+1048)*a(n-5)+(150*n^2-2016*n+7032)*a(n-6)+(-56*n^2+ 1008*n-4552)*a(n-7)+(-2*n^2-12*n+272)*a(n-8)+4*(2*n-19)*(n-10)*a(n-9) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 22, a(8) = 58, a( 9) = 163}, [1, 1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547 , 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801, 6014766389029773513342902, 23270147619699743008876442], 20620394747288742061669\ 3199101039340859033456183291715378965578360799240733272707344702709064202535007\ 4945705126489073145638285358843475138072822037848253305286123250568424029693759\ 7513799352007288634163200395140724567853271620588615540166760404039743906059955\ 4159554971079948898934455763470830014136519759929559203359598727848957753017155\ 8580065029590829783739456751199691579148822616939932632495214989071950133678784\ 1219328274501018139720438238584645774044796309691669916911826585844374075524013\ 9875110185379741510414645431933199556511396243076210411902308096468935873280438\ 40209190795261172632] ---------------------------- (A,B)= , {2, 3, 5}, {1} [P^2*x^7-2*P^2*x^6+3*P^2*x^5-P^2*x^4-2*P*x^5-P^2*x^3+2*P*x^4+3*P^2*x^2-P*x^3-3* P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+1, (-C*x-x^2+1)/((x^2-x)*C-x^4+x^3-x^2-x+1), {-3*n*(n-3)*a(n)+(39*n^2-189*n+144)*a(n-1)+(-192*n^2+1242*n-1644)*a(n-2)+(462*n ^2-3636*n+6468)*a(n-3)+(-600*n^2+5526*n-12060)*a(n-4)+(400*n^2-4446*n+11828)*a( n-5)+(-7*n^2+1347*n-7124)*a(n-6)+(-306*n^2+1080*n+5244)*a(n-7)+(368*n^2-1800*n-\ 5048)*a(n-8)+(-255*n^2+1623*n+1668)*a(n-9)+(148*n^2-1716*n+4664)*a(n-10)+(-122* n^2+2322*n-11248)*a(n-11)+24*(5*n-52)*(n-11)*a(n-12)-2*(5*n-52)*(7*n-79)*a(n-13 )+12*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 54, a(9) = 149, a(10) = 438, a(11) = 1350, a( 12) = 4320, a(13) = 14230, a(14) = 47954}, [1, 1, 1, 2, 4, 9, 21, 54, 149, 438, 1350, 4320, 14230, 47954, 164558, 573051, 2019865, 7191994, 25829119, 93449965, 340281196, 1246075455, 4585815748, 16951949226, 62915140454, 234344255750, 875733610574, 3282333723946, 12336075846135, 46479229966385, 175526926175706, 664288022487728, 2519010933193514, 9569842096650666, 36418896606330968, 138818568967329863, 529935711080005818, 2025880223509959471, 7755020705324770354, 29723338094793336736, 114058384671831428480, 438171314555044017761, 1685085932362394478683, 6486909381085133858864, 24995932783935751291833, 96404273868842502372269, 372134377260836870706496, 1437680298381351756412411, 5558627096498485327398580, 21508008691492254095447138], 19152411518139807969559135943208626180826080913307\ 0346378455245389120593942037391150354963538523934957668515397448696687312192874\ 3571857253039968235021716674767307917829042714793433452442569962828221647340134\ 3814739541863122914241798798794147816643374250207895954347675338545511273676874\ 7978605621446980017557764924932233185821529116379829620035902974929570824777205\ 4251081610815171246003182137835729998762257446375025198716536487518208786479598\ 1745539055814750255697210638557429374854272412840224807172548002231502141482566\ 197736456451412184365426595334487888725610670119248167834152034823504266] ---------------------------- (A,B)= , {2, 3, 5}, {2} [P^2*x^5-2*P*x^5+P^2*x^3+x^5-P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-x^2-2*P+1, (-x^3-C *x+1)/((x^2-x)*C-x^3-x+1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)+(-129*n^2+ 861*n-1140)*a(n-2)+(173*n^2-1419*n+2488)*a(n-3)-(7*n-11)*(n-16)*a(n-4)+(-128*n^ 2+1278*n-3268)*a(n-5)+(48*n^2-234*n-336)*a(n-6)+(4*n^2-882*n+6092)*a(n-7)+(-20* n^2+804*n-5440)*a(n-8)+(11*n^2-57*n-272)*a(n-9)+2*(11*n-112)*(n-13)*a(n-10)-2*( 7*n-64)*(n-11)*a(n-11)+12*(2*n-21)*(n-12)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 18, a(8) = 45, a(9) = 122, a(10) = 354, a(11) = 1084, a(12) = 3458}, [1, 1, 1, 2, 4, 8, 18, 45, 122, 354, 1084, 3458, 11379, 38348, 131670, 458889, 1618872, 5769135, 20735878, 75078884, 273574534, 1002433018, 3691281207, 13652372422, 50693499962, 188904707823, 706214223856, 2647947813867, 9955284948941, 37521015246216, 141738728886746, 536563910351055, 2035201074293395, 7733694636843407, 29437940387316452, 112233005848500961, 428531883562050570, 1638534667812222057, 6273388130046401008, 24048604822003888486, 92297246294968796318, 354626435363335842458, 1363991102966831374763, 5251538613785139661020, 20238320779022837725116, 78064783120688319238391, 301376880397313514634004, 1164451568505634053256169, 4502704669354042720866647, 17424122849064922479420494], 15585109628037811966238121596779937506562681627861\ 1234854505754866745647372954555088060553366719157870417329823627930339749188993\ 2065810793395687209819170198399090964617024134598352397647135334033986222969280\ 0071313445480855582530439040256365443082620468624397690873539615407820906677285\ 9552756918922362847291481479759306451098729517809646626759957226674157460424012\ 2439819016247138374034798844418624513032310653912245749651887690318543657539240\ 7222710028032595529814466040562998702477610975440287357247334605082406606580999\ 597919699353278686472444861032372556541194400146864803382909245007099830] ---------------------------- (A,B)= , {2, 3, 5}, {3} [4*P^2*x^3-4*P*x^4+x^5-P^2*x^2-3*P*x^3+2*x^4-4*P^2*x+6*P*x^2-x^3+2*P^2+4*P*x-3* x^2-4*P+2, (-x^3-C*x-x^2+x+1)/((x^2-x)*C-2*x^2+1), {-12*n*(n-3)*a(n)+8*(17*n-16 )*(n-4)*a(n-1)+(-508*n^2+3408*n-4520)*a(n-2)+(600*n^2-5076*n+8976)*a(n-3)+(323* n^2-2415*n+5332)*a(n-4)+(-986*n^2+9942*n-25552)*a(n-5)+(251*n^2-3177*n+10720)*a (n-6)+(268*n^2-3342*n+9680)*a(n-7)+(-112*n^2+1920*n-8240)*a(n-8)+32*(2*n-19)*(n -10)*a(n-9) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a( 7) = 12, a(8) = 28, a(9) = 71}, [1, 1, 1, 2, 3, 6, 12, 28, 71, 198, 590, 1852, 6034, 20212, 69130, 240304, 846199, 3011510, 10812934, 39118060, 142441962, 521636436, 1919889328, 7097773160, 26345351622, 98141092988, 366789122292, 1374910161496, 5167905898888, 19473365170016, 73547638424486, 278370123511384, 1055688444220663, 4010959924394198, 15265341843489414, 58191819199258700, 222162454677595266, 849362156342706436, 3251564649079343736, 12463384659905076904, 47829229493975283986, 183753953413247769652, 706708438118660927684, 2720698915094241226632, 10484203438240266444812, 40437554413742553627192, 156102552318959433853876, 603105534764807958175744, 2331946163900234562650902, 9023404346311540931705084], 805214134665229656402040\ 7180252255388033056440746559453804940119590982064356381089645848817755670203040\ 9400816945889623051008703395882141289481473749763921835179458909605005824013814\ 1631628158421800041610201017314225638580785539873431406413393635092519914629332\ 5534874739254523567976567527629063568484541021566002676278637313464063182147055\ 5007818777585027880806529128989931854396092488337573473951674829002274079846893\ 3732836128822248534856883401910579929125081756253473905737565543958962704226511\ 0901089469570616251228549688881249748488351203314499837333669986579558854051376\ 612475002052742272] ---------------------------- (A,B)= , {2, 3, 5}, {4} [x^8-2*P*x^6+P^2*x^4+4*P*x^5+x^6-4*P^2*x^3-5*P*x^4+8*P^2*x^2+5*x^4-5*P^2*x-8*P* x^2+x^3+P^2+8*P*x+x^2-2*P-3*x+1, ((x^4+x^3+x^2)*C-x^4+x-1)/(C*x^2-x^2+2*x-1), { -4*n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-1)+(-446*n^2+3278*n-4596)*a(n-2)+(1600*n ^2-14212*n+27240)*a(n-3)+(-3300*n^2+34128*n-80928)*a(n-4)+(3953*n^2-46307*n+ 128634)*a(n-5)+(-2669*n^2+34475*n-107706)*a(n-6)+(960*n^2-13056*n+42624)*a(n-7) +(-46*n^2-746*n+11820)*a(n-8)+(-333*n^2+8379*n-52458)*a(n-9)+(306*n^2-7830*n+ 50004)*a(n-10)+(-126*n^2+3258*n-21036)*a(n-11)+12*(2*n-25)*(n-14)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 22, a(8) = 57, a(9) = 155, a(10) = 440, a(11) = 1298, a(12) = 3962}, [1, 1, 1, 2, 4, 9, 22 , 57, 155, 440, 1298, 3962, 12461, 40223, 132773, 446749, 1528004, 5299797, 18603616, 65979816, 236099006, 851415959, 3091242095, 11290562201, 41456559495, 152938119308, 566591690929, 2107048789610, 7862710485679, 29432537157375, 110489958441106, 415866839015640, 1569029917443533, 5932984388350962, 22480646501920304, 85344246272779225, 324573031861542206, 1236436921157050594, 4717440731631842682, 18024941664983499519, 68966155510489869801, 264215374562573415351, 1013463817444256975141, 3891861142827649332972, 14961617559600486764155, 57576757142233591776232, 221789255900134849083907, 855140310663465160594027, 3300033036718577583727692, 12745740818820720511699360 ], 1055313211338286867311473942046265245515453159555153462456654030495971657977\ 3521819033339010017982726296381877579287546887909416163514062286092536547260892\ 9317546900071695536310093154472145864759315761457161097884952195483682058442525\ 7541231434491027479019765712821690726319398966368179140528178090456618621494538\ 6080615609045121596640117377736472176872919127440380563049535717193747700050248\ 6992542144756428887187165383720635977169180733266943292799333534070808516862412\ 5116280766074450801770822721599698644970077871476059558142496474873673890004381\ 7788724602488855565446679786000071596032569579] ---------------------------- (A,B)= , {2, 3, 5}, {5} [P^2*x^5-2*P^2*x^4+P*x^5+x^6-P^2*x^3-2*P*x^4+2*x^5+7*P^2*x^2-4*P*x^3+4*x^4-5*P^ 2*x-6*P*x^2+2*x^3+P^2+8*P*x-2*P-3*x+1, (-C*x^2-x^3-x^2-x+1)/((x^3-x^2)*C-2*x+1) , {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-558*n^2+4680*n-6828)*a(n-2)+( 1938*n^2-19320*n+38772)*a(n-3)+(-3622*n^2+41672*n-103788)*a(n-4)+(3241*n^2-\ 42395*n+124212)*a(n-5)+(-444*n^2+7818*n-28332)*a(n-6)+(-1185*n^2+15675*n-48360) *a(n-7)+(503*n^2-5671*n+9972)*a(n-8)+(60*n^2-1764*n+11364)*a(n-9)+(-24*n^2+306* n-600)*a(n-10)-3*(n-11)*(11*n-124)*a(n-11)+2*(n-12)*(2*n-25)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 51, a( 9) = 128, a(10) = 332, a(11) = 890, a(12) = 2467}, [1, 1, 1, 2, 4, 9, 21, 51, 128, 332, 890, 2467, 7071, 20942, 63990, 201267, 649808, 2146986, 7237479, 24821285, 86384252, 304411578, 1084162173, 3896357862, 14112276086, 51457596893 , 188728589513, 695743162591, 2576461091217, 9579538972485, 35746156370082, 133820580942053, 502450079028023, 1891583053519939, 7138740285764634, 27001951640817948, 102345874873598143, 388669234073089766, 1478649025821332216, 5634715570614232887, 21505679199408608289, 82198827007697778333, 314608529355434183559, 1205681181825108912711, 4626147045203381841056, 17770594499689060057059, 68336561187187805033419, 263055975229518214209841, 1013594634450632502302432, 3909133068380894248437794], 306679469566240334367148\ 4777113292042887572261123698166688311117565853502080141229961447995887370912605\ 9060464412778905033502472843352890197379660708567085519003331858373649974017027\ 6878803804394932936877846444701013478209448766365778447466727614031124079379399\ 8017566229379442319489102385022660113589581205443104963380179049611048050350227\ 9946264698496276660460795676764446611029565236455527428462848676689782408754658\ 0776376843160823889844207534936440582693983525585787081538641834036562014660944\ 3711995399425384417643311563273346478989690689445329076104745819030209228449660\ 527708313868202742] ---------------------------- (A,B)= , {2, 3, 5}, {1, 2} [P^2*x^7+P^2*x^4-P^2*x^3+P^2*x^2+P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, (-C*x+1)/((x^2- x)*C-x^4-x+1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)+(-133*n^2+879*n-1160)* a(n-2)+(219*n^2-1719*n+2976)*a(n-3)+(-186*n^2+1584*n-3168)*a(n-4)+(148*n^2-1236 *n+2456)*a(n-5)+(-123*n^2+1137*n-2544)*a(n-6)+(42*n^2-492*n+1368)*a(n-7)+(23*n^ 2-69*n-200)*a(n-8)+(-70*n^2+504*n-632)*a(n-9)+20*(n-4)*(2*n-13)*a(n-10)-(n-8)*( n-7)*a(n-11)+2*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 17, a(8) = 41, a(9) = 110, a(10) = 319, a(11) = 979, a(12) = 3134}, [1, 1, 1, 2, 4, 8, 17, 41, 110, 319, 979, 3134, 10352, 35009, 120566, 421243, 1489158, 5316091, 19135412, 69369966, 253041234, 928049957, 3420135181, 12658522935, 47032870341, 175362731199, 655921223495, 2460505169287, 9254437327432, 34892860914844, 131856760841117, 499315511805554, 1894479540277572, 7200938049544672, 27417030843833831, 104553098106315774, 399296861429393083, 1527068902935649198, 5847763191099882964, 22421105148907369959, 86065822534793310761, 330737679965006352898, 1272303697984896366646, 4899242178805735036933, 18883244039791749234179, 72847394067510997521449, 281269540675987528769747, 1086889742915911973992570, 4203261211580838734403485, 16267111234689430519742372], 14613439148373881757376\ 5226181140492296036553719723087550598886424665832715292462645029981078370971236\ 1433315052032265100114120242439376896732950294695492829237170207727643759503783\ 0712985663794452741986048668580543424877239248692680207762224698818717554170881\ 5708438598084110039322000181990073922782445698468876252240734964432841857930772\ 4830177753887258030775619629616927653500987913580686610555784582698939729855673\ 1377423275419461851136292973970366001248472698447805090450805896306056427168859\ 2104463431811728416770601629714498904758406936639210844550840234310492453799494\ 79847278454814926880] ---------------------------- (A,B)= , {2, 3, 5}, {1, 3} [P^2*x^7-2*P^2*x^6+5*P^2*x^5-5*P^2*x^4-2*P*x^5+4*P^2*x^3+4*P*x^4-5*P*x^3-4*P^2* x+4*P*x^2+x^3+2*P^2+4*P*x-2*x^2-4*P+2, (-C*x-x^2+x+1)/((x^2-x)*C-x^4+x^3-2*x^2+ 1), {-12*n*(n-3)*a(n)+8*(17*n-16)*(n-4)*a(n-1)+(-516*n^2+3444*n-4560)*a(n-2)+( 680*n^2-5640*n+9952)*a(n-3)+(116*n^2-228*n-80)*a(n-4)+(-1110*n^2+9030*n-18336)* a(n-5)+(1226*n^2-8766*n+11368)*a(n-6)+(-776*n^2+3060*n+10520)*a(n-7)+(273*n^2+ 381*n-14088)*a(n-8)+(-101*n^2+807*n-3040)*a(n-9)+(174*n^2-3906*n+21840)*a(n-10) +(-207*n^2+4797*n-26760)*a(n-11)+(174*n^2-3798*n+20640)*a(n-12)-6*(13*n-136)*(n -11)*a(n-13)+12*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 26, a(9) = 64, a(10) = 181, a(11) = 539, a(12) = 1707, a(13) = 5586, a(14) = 18805}, [1, 1, 1, 2, 3, 6, 11, 26, 64, 181, 539, 1707, 5586, 18805, 64535, 224973, 793932, 2830499, 10177532, 36863142 , 134365211, 492478831, 1813912001, 6710301348, 24921295999, 92883108242, 347294937178, 1302365625613, 4897033394681, 18458861327037, 69737362578515, 264022733424178, 1001536375325693, 3806124564528422, 14488963785532512, 55243611030681591, 210947330175096677, 806629378379135455, 3088490905211682188, 11840178317493136041, 45444345239903178370, 174615844312534355344, 671651997196811461515, 2586059199296057842449, 9966541599308043261503, 38445218840721150816978, 148427173523684711155185, 573509235322192381049878, 2217722510076637004924138, 8582201955176721703561445], 768630818020965504019906\ 6248816144657231672387202492392747269069226627848724371052762234155236369572651\ 5391291649160341775487285160611616684864023219530286349650646876639690762312874\ 0115361940494917079560129602679217896715125170386495497200878334547542806028841\ 4022900108652540545178665514925386337669875765592658956366165731479327755065959\ 7897726292760318490566348334204304171325872197469290502415214748480430889434170\ 4302223944591551956592197711323949119154502119136020366770910692043473697871307\ 8596269519851405548849265316171607199966041502282279704636734534789767518925582\ 656590668284042490] ---------------------------- (A,B)= , {2, 3, 5}, {1, 4} [P^2*x^10-4*P^2*x^9+7*P^2*x^8-4*P^2*x^7-2*P*x^8-6*P^2*x^6+4*P*x^7+15*P^2*x^5-2* P*x^6-11*P^2*x^4-8*P*x^5+x^6-P^2*x^3+13*P*x^4+8*P^2*x^2-6*P*x^3-x^4-5*P^2*x-8*P *x^2+4*x^3+P^2+8*P*x+x^2-2*P-3*x+1, ((x^3+x^2)*C-x^3+x-1)/((x^5-x^4+x^2)*C-x^5+ 2*x^4-x^3-x^2+2*x-1), {-4*n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-1)+(-446*n^2+3278 *n-4596)*a(n-2)+(1585*n^2-14125*n+27114)*a(n-3)+(-3069*n^2+32385*n-77634)*a(n-4 )+(2531*n^2-33401*n+99366)*a(n-5)+(1840*n^2-12298*n+12624)*a(n-6)+(-6899*n^2+ 76655*n-207510)*a(n-7)+(7050*n^2-87372*n+262692)*a(n-8)+(-2147*n^2+35369*n-\ 148158)*a(n-9)+(-2243*n^2+10073*n+87954)*a(n-10)+(2925*n^2-15945*n-107790)*a(n-\ 11)+(-2176*n^2+25876*n-58224)*a(n-12)+(2288*n^2-60098*n+414456)*a(n-13)+(-2342* n^2+73622*n-564708)*a(n-14)+(1095*n^2-37113*n+303006)*a(n-15)+(590*n^2-15302*n+ 96612)*a(n-16)+(-1270*n^2+37654*n-277116)*a(n-17)+(904*n^2-27748*n+211368)*a(n-\ 18)+(-334*n^2+10546*n-82476)*a(n-19)+28*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 53, a(9) = 141, a(10) = 395, a(11) = 1156, a(12) = 3517, a(13) = 11059, a(14) = 35760, a( 15) = 118375, a(16) = 399625, a(17) = 1371511, a(18) = 4772777, a(19) = 16805356, a(20) = 59769576}, [1, 1, 1, 2, 4, 9, 21, 53, 141, 395, 1156, 3517, 11059, 35760, 118375, 399625, 1371511, 4772777, 16805356, 59769576, 214416514, 774965639, 2819302542, 10315615369, 37936583374, 140149453659, 519866283182, 1935465736096, 7229757237744, 27088012263614, 101773141824451, 383347984008813, 1447338775625219, 5476299784956822, 20762311585618062, 78863203318077097, 300073999935189379, 1143636579078058312, 4365245206932862862, 16685897182076129899, 63866604485390555045, 244764087247603871145, 939161527406216683763, 3607640752162003374184, 13873007052752583312884, 53402087598616853148728, 205761428699392866881911, 793537121333957536983787, 3063014188189658015287956, 11832909033379390501620285], 98771005180503066759571\ 6467322494781699035465233701654870051537835295804943123106924639581601272947799\ 5054637520950595900593526765103676742943729730016862495457709960825960164897879\ 7765848738887873995303713688303994825285475236918825464505690847118724875051826\ 3630216548547426527083463922349728919235084633811599345064683141339306694624236\ 4994481548804442136538565199736466848832514375947372692710989140601070549873984\ 3411098343519413154815709033611070613253887455426144287349277842406345920281989\ 9271451526148140425333166828255528157529146010712136785630655146260918641600897\ 9275559440538637518] ---------------------------- (A,B)= , {2, 3, 5}, {1, 5} [P^2*x^8-2*P^2*x^7+7*P^2*x^5-2*P*x^6-9*P^2*x^4-P*x^5+P^2*x^3+8*P*x^4+7*P^2*x^2-\ 8*P*x^3+x^4-5*P^2*x-6*P*x^2+4*x^3+P^2+8*P*x-2*P-3*x+1, (-C*x^2-x^2-x+1)/((x^3-x ^2)*C-x^4+x^3-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-558*n^2+4680 *n-6828)*a(n-2)+(1924*n^2-19214*n+38580)*a(n-3)+(-3410*n^2+39676*n-99204)*a(n-4 )+(1976*n^2-28330*n+85620)*a(n-5)+(3315*n^2-39849*n+121908)*a(n-6)+(-6835*n^2+ 95339*n-328596)*a(n-7)+(3757*n^2-55523*n+200016)*a(n-8)+(1668*n^2-28482*n+ 125112)*a(n-9)+(-3185*n^2+55237*n-242820)*a(n-10)+(1326*n^2-24468*n+116280)*a(n -11)+(166*n^2-2396*n+5424)*a(n-12)+(-340*n^2+6416*n-29208)*a(n-13)+(118*n^2-\ 2606*n+14376)*a(n-14)+(-26*n^2+688*n-4560)*a(n-15)+4*(2*n-27)*(n-14)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 20, a(8) = 47, a(9) = 114, a(10) = 289, a(11) = 762, a(12) = 2094, a(13) = 5987, a(14) = 17779, a(15) = 54663, a(16) = 173364}, [1, 1, 1, 2, 4, 9, 20, 47, 114, 289, 762 , 2094, 5987, 17779, 54663, 173364, 564875, 1883513, 6403916, 22132069, 77544163, 274839125, 983641923, 3549747872, 12901845099, 47183136191, 173486048064, 640924199168, 2377835641725, 8855154668456, 33089154385549, 124025376077370, 466176711744187, 1756716055028122, 6635484802646320, 25117940469464632, 95271973959848987, 362037397254540820, 1378138670932928886, 5254525040726808919, 20064572042507003351, 76725791653497067917, 293785819907582106751, 1126327029385391767796, 4323262263568387424575, 16612837695041640655120, 63905066941486277844091, 246071955634635699529970, 948423409270500495325879, 3658771958820120716233194], 2896248127109999806170183\ 7900744886783557515491399493189020284607685273449253774273981777889824796679977\ 7685839431761975421340225663798081198063624856954591976514193626566627554158336\ 6721245289431511481499720327287694136730884816568499557283286232481550230356671\ 3010016605137379822586635118572127519709542161252483113990202265743430379247750\ 5926690196056863592444086216946990981867602474809199992437366526413895681248366\ 5152712943532949174305429287549599442967949167494533359610944281952464379259716\ 4180293657956642975068528086784558481883982234289850908593322227805584267392774\ 93115980265779327] ---------------------------- (A,B)= , {2, 3, 5}, {2, 3} [P^2*x^5+2*P^2*x^4-2*P*x^5-2*P*x^4+x^5-P^2*x^2+3*P*x^3-3*P^2*x+4*P*x^2-2*x^3+2* P^2+2*P*x-x^2-4*P+x+2, (-x^3-C*x+x+1)/((x^2-x)*C-x^3-x^2+1), {-6*n*(n-3)*a(n)+( 63*n^2-315*n+240)*a(n-1)+(-206*n^2+1395*n-1840)*a(n-2)+(185*n^2-1506*n+2500)*a( n-3)+(74*n^2-798*n+2188)*a(n-4)+(-20*n^2+612*n-2488)*a(n-5)+(-142*n^2+1461*n-\ 3848)*a(n-6)+(-15*n^2-369*n+3384)*a(n-7)+(23*n^2+33*n-1964)*a(n-8)+(19*n^2-171* n+56)*a(n-9)+(-2*n^2+60*n-376)*a(n-10)+3*(7*n-75)*(n-12)*a(n-11)+6*(2*n-21)*(n-\ 12)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5, a( 7) = 10, a(8) = 22, a(9) = 55, a(10) = 153, a(11) = 459, a(12) = 1453}, [1, 1, 1, 2, 3, 5, 10, 22, 55, 153, 459, 1453, 4774, 16105, 55402, 193479, 683869, 2441271, 8787809, 31860004, 116225697, 426304692, 1571193037, 5815748203, 21610196634, 80580033332, 301420609757, 1130771660242, 4253322925232, 16037661622396, 60608218727789, 229523652812941, 870891988153637, 3310428736598066, 12604780069048385, 48069589148218874, 183589185148413951, 702144718640920861, 2688894423551891480, 10309941208395781330, 39577137206957965529, 152093668496923061822, 585101790430979123782, 2253108652613004543924, 8684441062142789588593, 33503548638372506589885, 129363134466493389854781, 499900876267596190515319, 1933280813284815725466674, 7482190244658164477096649], 672853335059515429814073765012324502614418177707464\ 1638869591627576729361761050905862642142135463838772088546923307174554685401504\ 2559636328635885657315151849236394059025981826443836856169626039697091961192968\ 5825276401308068228196813495213897589401406862467319550261181062545991861848768\ 8788114229652752486702619103615709593908949521994330876100472194729102211190359\ 9831237342024758009088659423983965345940307975586138656304239575807509633865671\ 8548321800534066015516760129931196112387822569030586534836227219696752251586714\ 0120145269892639725943782130197550484378440981351997029729015194634660] ---------------------------- (A,B)= , {2, 3, 5}, {2, 4} [P^2*x^8-4*P^2*x^7-2*P*x^8+9*P^2*x^6+6*P*x^7+x^8-14*P^2*x^5-12*P*x^6-2*x^7+18*P ^2*x^4+16*P*x^5+4*x^6-16*P^2*x^3-21*P*x^4-4*x^5+11*P^2*x^2+18*P*x^3+7*x^4-5*P^2 *x-14*P*x^2-5*x^3+P^2+8*P*x+4*x^2-2*P-3*x+1, ((x^4+x^2)*C-x^4+x^3-x^2+x-1)/((x^ 4-x^3+x^2)*C-x^4+2*x^3-2*x^2+2*x-1), {-4*n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-1) +(-464*n^2+3386*n-4740)*a(n-2)+(1879*n^2-16381*n+31218)*a(n-3)+(-5063*n^2+50657 *n-118602)*a(n-4)+(9952*n^2-111082*n+301584)*a(n-5)+(-15083*n^2+183719*n-555330 )*a(n-6)+(17954*n^2-233198*n+753696)*a(n-7)+(-16513*n^2+219049*n-701226)*a(n-8) +(10776*n^2-126948*n+273840)*a(n-9)+(-2922*n^2-14904*n+444096)*a(n-10)+(-3944*n ^2+148610*n-1165968)*a(n-11)+(7564*n^2-221146*n+1572300)*a(n-12)+(-7680*n^2+ 217242*n-1529472)*a(n-13)+(5638*n^2-161080*n+1149912)*a(n-14)+(-3147*n^2+92139* n-672990)*a(n-15)+(1318*n^2-39886*n+300180)*a(n-16)+(-374*n^2+11726*n-91116)*a( n-17)+28*(2*n-29)*(n-18)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a (5) = 4, a(6) = 8, a(7) = 18, a(8) = 44, a(9) = 114, a(10) = 313, a(11) = 906, a(12) = 2742, a(13) = 8612, a(14) = 27886, a(15) = 92572, a(16) = 313615, a(17) = 1080327, a(18) = 3773175}, [1, 1, 1, 2, 4, 8, 18, 44, 114, 313, 906, 2742, 8612, 27886, 92572, 313615, 1080327, 3773175, 13331220, 47562922, 171114168, 620050303, 2260942554, 8289802917, 30543429036, 113026839282, 419896518552, 1565435023157, 5854883109797, 21961861385630, 82600151986849, 311429328567662, 1176853394512387, 4456521509380936, 16908887185664760, 64271861235101936, 244715196853615878, 933227971208606742, 3564169280965660532, 13631185575131309062, 52200913472130810639, 200151680404595026005, 768329072144254664282, 2952669430321254391199, 11358912115482256775461, 43741105910127051471332, 168597989656213075731972, 650436220931378295501099, 2511471430698242057916486, 9705228414792452126518423], 820032133006408824929039\ 8850419280597772653055819209420810487673475827714125222455466422791343165795186\ 4600790972608988921350813570561905140657101298136302942688343496534159870380573\ 7364056690534151684334237487059058958930921499430475221566061932370245160047581\ 5792278440584145156543063466393568381769997115553225616098761788276935837093407\ 8618204266877507380420640675394414615023677502988466740450481069893594245622840\ 2613787383336720668886931202424885919964821300584397745656842071342080814545169\ 1224233945473214659550941393844351303447926255102265803462415146950388622809442\ 608135560634594492] ---------------------------- (A,B)= , {2, 3, 5}, {2, 5} [P^2*x^6-2*P^2*x^5-2*P*x^6+5*P^2*x^4+3*P*x^5+x^6-8*P^2*x^3-6*P*x^4+9*P^2*x^2+6* P*x^3+3*x^4-5*P^2*x-10*P*x^2-x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x^3-x+1)/(( x^3-x^2)*C-x^3+x^2-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-574*n^2 +4796*n-6996)*a(n-2)+(2181*n^2-21525*n+43164)*a(n-3)+(-5097*n^2+57549*n-143196) *a(n-4)+(7863*n^2-99321*n+290736)*a(n-5)+(-8565*n^2+119271*n-398652)*a(n-6)+( 7078*n^2-107822*n+404496)*a(n-7)+(-4660*n^2+76856*n-317004)*a(n-8)+(2454*n^2-\ 42918*n+187896)*a(n-9)+(-983*n^2+18019*n-81504)*a(n-10)+(264*n^2-4950*n+22200)* a(n-11)+(-46*n^2+782*n-2712)*a(n-12)+(-10*n^2+296*n-2160)*a(n-13)+4*(2*n-27)*(n -14)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a (7) = 17, a(8) = 38, a(9) = 89, a(10) = 219, a(11) = 567, a(12) = 1544, a(13) = 4412, a(14) = 13175}, [1, 1, 1, 2, 4, 8, 17, 38, 89, 219, 567, 1544, 4412, 13175, 40895, 131187, 432527, 1458529, 5009761, 17469380, 61680972, 220057420, 791993908, 2871753329, 10480068162, 38460237997, 141839334507, 525382803249, 1953652695248, 7290224263389, 27290499622454, 102455358790677, 385658305170166, 1455196046735031, 5503114871839705, 20854076863065012, 79177883573982942, 301154590971969940, 1147349907439867799, 4378005978574823154, 16729718569582741970, 64016865421544748520, 245278093895870010409, 940913807360149602413, 3613586556042047775593, 13893057411465211566526, 53469150646260879508642, 205983329173927766868693, 794260845290712153275047, 3065328560898692481830317], 246278246990334719173689719966306141580537214123792\ 4322739820187783339139045478135114208891507270093012383538532336518505892752632\ 2646836830307370646212433856109777100588871925185318578557448117008378266235357\ 4131535637245836358366838184050410458854115651140080265693012614119418991877392\ 6316942374066748807822607795984430027221088521670752019202953629898711484115630\ 7506274820669336802585882463985393080761277717346647013678582752386167212314312\ 7182739947356071301742604739840155484248094589717099683368874133158316977297710\ 1885764736430146572600387792930933891050039030364837227915184648719698] ---------------------------- (A,B)= , {2, 3, 5}, {3, 4} [P^2*x^6-2*P*x^7+x^8-2*P^2*x^5+2*P*x^6+2*P*x^5-x^6+5*P^2*x^3-7*P*x^4+2*x^5-2*P^ 2*x^2-4*P*x^3+4*x^4-2*P^2*x+6*P*x^2-x^3+P^2+2*P*x-3*x^2-2*P+1, ((x^4+x^3)*C-x^4 +x^2-1)/(C*x^3-x^3+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)-2*(79*n-\ 142)*(n-6)*a(n-2)+(90*n^2-990*n+1764)*a(n-3)+(509*n^2-4907*n+11682)*a(n-4)+(-\ 774*n^2+8664*n-23352)*a(n-5)+(-298*n^2+3862*n-13236)*a(n-6)+(1062*n^2-14724*n+ 51900)*a(n-7)+(-318*n^2+5028*n-22008)*a(n-8)+(-286*n^2+3406*n-5268)*a(n-9)+(281 *n^2-4733*n+19602)*a(n-10)+(-304*n^2+8272*n-56448)*a(n-11)+(158*n^2-4958*n+ 37908)*a(n-12)+(101*n^2-2693*n+17826)*a(n-13)+(-126*n^2+3594*n-25500)*a(n-14)+ 20*(2*n-27)*(n-16)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 27, a(9) = 65, a(10) = 170, a(11) = 476, a(12) = 1414, a(13) = 4402, a(14) = 14217, a(15) = 47239}, [1, 1, 1, 2, 3, 6, 12, 27, 65, 170, 476, 1414, 4402, 14217, 47239, 160470, 554697, 1944429, 6894374, 24679227, 89056428, 323593154, 1182875890, 4346763457, 16047897424, 59494642961 , 221391957005, 826635485088, 3095996467729, 11627999553452, 43785109077572, 165263075110456, 625136201372327, 2369480581679444, 8998064695282741, 34229987804891336, 130429508010142472, 497749807893531219, 1902266559894608027, 7279797339241753432, 27894639055580020246, 107014973343007643193, 411019170995750181084, 1580327248441487032549, 6082402342554517218958, 23432791399423074018674, 90359316461282626537899, 348740706582372659398031, 1347085844009079118750544, 5207558850390406044266742], 446761265441072229267132\ 3123350510222311924058470878611368514050301807906912109383270169920794602803283\ 2924540751940291337396015984785846531281879619087914405611804183935535833465148\ 8390350081825341323007885551013280017573237134535128678026768986468046585818586\ 5365735044607334664890181520976400589317423204747217793575291169278861962463400\ 6455146171560461242485365958117783141883092946046958785395372870930139193467361\ 9692621625818871536035006220940322237120697000119417329501643701045396126919521\ 3313411333575213422831318030002206323955868716355039313563081123765218179714291\ 242859553628632148] ---------------------------- (A,B)= , {2, 3, 5}, {3, 5} [P^2*x^5-2*P^2*x^4-P*x^5+x^6+3*P^2*x^3-2*P*x^4+2*x^5+P^2*x^2-4*P*x^3+2*x^4-3*P^ 2*x+2*P*x^2+P^2+4*P*x-2*x^2-2*P-x+1, (-C*x^2-x^3-x^2+1)/((x^3-x^2)*C-x^2-x+1), {5*n*(n-5)*a(n)+(-65*n^2+445*n-360)*a(n-1)+(308*n^2-2638*n+3804)*a(n-2)+(-608*n ^2+6202*n-12156)*a(n-3)+(244*n^2-3098*n+7044)*a(n-4)+(793*n^2-9479*n+27468)*a(n -5)+(-976*n^2+12374*n-36876)*a(n-6)+(113*n^2+113*n-7944)*a(n-7)+(289*n^2-5537*n +25500)*a(n-8)+(-158*n^2+2434*n-8556)*a(n-9)+(36*n^2-594*n+2328)*a(n-10)+(15*n^ 2-297*n+1428)*a(n-11)+2*(n-12)*(2*n-25)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 49, a(10) = 114, a(11) = 282, a(12) = 752}, [1, 1, 1, 2, 3, 6, 11, 23, 49, 114, 282, 752, 2136, 6419, 20177, 65722, 220038, 752575, 2617356, 9225086, 32869376, 118173756, 428103561, 1561000315, 5724152972, 21094746474, 78081385891, 290153412992, 1082041532942, 4048096515461, 15188802201225, 57141764001633, 215499680826187, 814552975121593, 3085305677072050, 11708946241510341, 44516367758971844, 169531911150654238, 646644715759725464, 2470129761807286018, 9448758120393904485, 36190556292498041169, 138787083316668900022, 532851896891188493414, 2048049696688358780055, 7879995339964975433358, 30348682834511739932672, 116993250695875320070539, 451407809934790174706267, 1743196191181198269424947], 143294631180940971766123002598157155433440224314535\ 0642224620564254687592094202518668163588925717637318066924807635381336912206684\ 3459369385402423764506566571945453324748104913948035148185349269098915157294250\ 3267127349648797450166321205441277244859312845765206754744608801111462554141515\ 8519290109657194459317447801156487948762126172997060426647091712863615026732265\ 1261045315360306123019869894783141479851820087283896045630298962504494645984446\ 1717738167187995081594956126369715826054340105772479087577494528094859130250788\ 4741229673634327257096915717456518823019065458581053627340982019255332] ---------------------------- (A,B)= , {2, 3, 5}, {4, 5} [x^9-2*P*x^7+2*x^8+P^2*x^5-2*P*x^6+4*x^7-5*P*x^5+5*x^6+2*P^2*x^3-6*P*x^4+6*x^5+ 3*P^2*x^2-4*P*x^3+4*x^4-4*P^2*x+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^5+x^4+x^3)*C+x^3 +x^2+x-1)/(C*x^3+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-421*n^2+ 3569*n-5184)*a(n-2)+(1124*n^2-11344*n+22584)*a(n-3)+(-1277*n^2+14893*n-36312)*a (n-4)+(69*n^2-1089*n+1896)*a(n-5)+(711*n^2-9483*n+29280)*a(n-6)+(-34*n^2-1546*n +15336)*a(n-7)+(4*n^2+1204*n-9984)*a(n-8)-3*(n-8)*(41*n-545)*a(n-9)+(-212*n^2+ 5524*n-37128)*a(n-10)+(-6*n^2-438*n+6720)*a(n-11)+(24*n^2-876*n+7536)*a(n-12)-6 *(n-13)*(n-16)*a(n-13)+12*(2*n-29)*(n-16)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 21, a(8) = 50, a(9) = 122, a(10) = 306, a(11) = 791, a(12) = 2113, a(13) = 5846, a(14) = 16771}, [1, 1, 1, 2, 4, 9 , 21, 50, 122, 306, 791, 2113, 5846, 16771, 49876, 153504, 487519, 1591978, 5324476, 18171496, 63069941, 221986475, 790445897, 2841998505, 10301775073, 37601263462, 138060012164, 509524825867, 1888934355197, 7030645291110, 26261073585105, 98403782816684, 369794646019338, 1393304105852253, 5262236491077888, 19918169783223316, 75545593704365319, 287067662716664412, 1092740356493505916, 4166349056073952666, 15909407154506042038, 60837353528971386495, 232952231202124592486, 893119172343085321867, 3428204311381926584744, 13173772901216187255185, 50677321564141725370299, 195143036610856805912907, 752152995981311939369194, 2901700146246008655500753], 2302386565402268013521460743184155703265308562742921351206457884656697139712675\ 1262485985703625554629905558359500788642435552610881120304299964188443330323943\ 0757227604330792765297816082036437778627359316088558275750157630508274532859405\ 3745121995840743816094963647800716133889007257332814028259836591052448069346899\ 7348013128292357171767885399801589455817864790800768774122281503108269814410369\ 5583530393013236070174322091848242646565526488972570903237539533139432345774912\ 6685538704214291273127540913115752756132476564241453822292832208138517393701402\ 210445620957150373411649124256572267734159] ---------------------------- (A,B)= , {2, 3, 5}, {1, 2, 3} [P^2*x^7+2*P^2*x^5-P^2*x^4+2*P*x^4+P*x^3-3*P^2*x+2*P*x^2+2*P^2+2*P*x-4*P+x+2, ( -C*x+x+1)/((x^2-x)*C-x^4-x^2+1), {12*n*(n-3)*a(n)+(-126*n^2+630*n-480)*a(n-1)+( 420*n^2-2826*n+3720)*a(n-2)+(-447*n^2+3555*n-5940)*a(n-3)+8*(5*n-4)*(n-7)*a(n-4 )+(112*n^2-870*n+1736)*a(n-5)+(-191*n^2+741*n+1652)*a(n-6)+(270*n^2-1818*n+1440 )*a(n-7)+(-92*n^2+606*n-712)*a(n-8)+(95*n^2-561*n+268)*a(n-9)+(-58*n^2+798*n-\ 2888)*a(n-10)+(-6*n^2-18*n+552)*a(n-11)-2*(n-8)*(5*n-44)*a(n-12)+4*(2*n-19)*(n-\ 10)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5, a( 7) = 9, a(8) = 20, a(9) = 50, a(10) = 140, a(11) = 423, a(12) = 1349, a(13) = 4457}, [1, 1, 1, 2, 3, 5, 9, 20, 50, 140, 423, 1349, 4457, 15099, 52103, 182387 , 645840, 2308861, 8320992, 30197185, 110251156, 404678623, 1492409971, 5527129847, 20547602243, 76650612844, 286832153861, 1076416333828, 4050142033431, 15275921085416, 57744658985289, 218732066565045, 830129537549717 , 3156131959803074, 12019574159558380, 45845989981142187, 175125744919501941, 669879702566977469, 2565706590390810428, 9838947434578680243, 37773962130677598793, 145181678908803956493, 558575254825831691586, 2151192607631432370512, 8292461301045574253197, 31994440931549112333655, 123547587474653166880011, 477469575076402642558310, 1846685736856664953242165, 7147618432588900190954245], 644824395699970830214621559919155267021870410126926\ 5561456092550761855081627636146838020238554836033743738083965456958787621465503\ 9946369893265296370211012173747319727744986821707603828394878059429225609197459\ 5880110156873299013456044760394054791282264147354866508599268043061023820579280\ 1714115716278035955848756791519383398664680055561819035936848174196907797450957\ 3523258588010467743564752860712582677075094938969664233186649742390893773998567\ 0354987296990263294530068247420687474703732945829605594515861310470276065032004\ 8601153909608317834131381420778236167149710742833877430188279759545628] ---------------------------- (A,B)= , {2, 3, 5}, {1, 2, 4} [P^2*x^10-2*P^2*x^9+6*P^2*x^7-9*P^2*x^6-2*P*x^7+5*P^2*x^5+4*P*x^6+6*P^2*x^4-4*P *x^5-13*P^2*x^3-3*P*x^4+11*P^2*x^2+12*P*x^3+x^4-5*P^2*x-14*P*x^2-2*x^3+P^2+8*P* x+4*x^2-2*P-3*x+1, (C*x^2-x^2+x-1)/((x^5-x^3+x^2)*C-x^5+x^4+x^3-2*x^2+2*x-1), { -4*n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-1)+(-464*n^2+3386*n-4740)*a(n-2)+(1864*n ^2-16294*n+31092)*a(n-3)+(-4832*n^2+48914*n-115308)*a(n-4)+(8491*n^2-97891*n+ 271866)*a(n-5)+(-10015*n^2+131875*n-424554)*a(n-6)+(6994*n^2-111484*n+429516)*a (n-7)+(-824*n^2+39542*n-245760)*a(n-8)+(-3871*n^2+26845*n+40062)*a(n-9)+(4096*n ^2-37930*n+576)*a(n-10)+(-1463*n^2+8579*n+78942)*a(n-11)+(-461*n^2+10097*n-\ 83730)*a(n-12)+(335*n^2+1753*n-41946)*a(n-13)+(474*n^2-19278*n+154740)*a(n-14)+ (-575*n^2+18053*n-134766)*a(n-15)+(118*n^2-4240*n+35328)*a(n-16)+(187*n^2-4867* n+31566)*a(n-17)-30*(5*n-66)*(n-15)*a(n-18)+20*(2*n-27)*(n-16)*a(n-19) = 0, a(1 ) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 17, a(8) = 40, a(9) = 102, a(10) = 278, a(11) = 803, a(12) = 2436, a(13) = 7687, a(14) = 25026 , a(15) = 83519, a(16) = 284311, a(17) = 983516, a(18) = 3447485, a(19) = 12218009}, [1, 1, 1, 2, 4, 8, 17, 40, 102, 278, 803, 2436, 7687, 25026, 83519, 284311, 983516, 3447485, 12218009, 43705242, 157586019, 572119473, 2089600666, 7672517348, 28304372933, 104856324427, 389922561848, 1454951142580, 5445903954740, 20442123618501, 76933266428070, 290231442763847, 1097330083004098, 4157400924490395, 15781023587781388, 60009558576706684, 228573939237382598, 871982853177650863, 3331366112208559152, 12744769463914390865, 48820492470502079102, 187241099531919205344, 718952160936269509986, 2763578843021635613472, 10633889614842447566039, 40957940292061498439652, 157902383312167213105427, 609290421373721091320333, 2353027282944449952362278, 9094516919757212565672562], 773454605124810094277589\ 1657331344528562711176349527676609490725340620462045454480081706788399827511614\ 6245384071212350606285203624339981468235381611084118991824839372453592794323497\ 1590981432167674376272329442666643491367836152586673728353441935950077419982563\ 4723950468858837694769377340417805279163711541606086640101974400630778422134196\ 8218387095416775594197433737860629379868846491608163592867652650460135349271344\ 1497560202108954650862274152787103039104849230410860299487547169403004307994779\ 7936802353690962041913798484429452271776201123659145247128243461991055437192966\ 271532777928134884] ---------------------------- (A,B)= , {2, 3, 5}, {1, 2, 5} [P^2*x^8-3*P^2*x^6+6*P^2*x^5-2*P^2*x^4-3*P*x^5-6*P^2*x^3+4*P*x^4+9*P^2*x^2+2*P* x^3-5*P^2*x-10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^3-x^2)*C-x ^4+x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(574*n^2-4796*n+6996) *a(n-2)+(-2167*n^2+21419*n-42972)*a(n-3)+(4885*n^2-55553*n+138612)*a(n-4)+(-\ 6568*n^2+84962*n-251424)*a(n-5)+(4392*n^2-66726*n+234012)*a(n-6)+(759*n^2-1455* n-23724)*a(n-7)+(-4223*n^2+57793*n-193176)*a(n-8)+(3432*n^2-53196*n+202032)*a(n -9)+(-739*n^2+13073*n-54156)*a(n-10)+(-690*n^2+11496*n-49920)*a(n-11)+(521*n^2-\ 9667*n+45540)*a(n-12)+(-56*n^2+1234*n-6888)*a(n-13)+(-51*n^2+1101*n-5916)*a(n-\ 14)+6*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 16, a(8) = 34, a(9) = 77, a(10) = 186, a(11) = 478, a(12) = 1304, a(13) = 3757, a(14) = 11351, a(15) = 35683}, [1, 1, 1, 2, 4, 8, 16, 34, 77, 186, 478, 1304, 3757, 11351, 35683, 115858, 386082, 1313684, 4545783, 15947058, 56580500, 202658445, 731726888, 2660274747, 9729775522, 35773248015, 132138874702, 490118574590, 1824678605098, 6816009258410, 25538692556152, 95956867528076, 361461043712716, 1364792047260155, 5164317491208591, 19580851283990040, 74380759603181054, 283037978709864486, 1078783022374314542, 4117976120146590347, 15741754669462943960, 60256653947707100034, 230943454892678065715, 886184566928703690289, 3404334656951200369014, 13091933624290595578442, 50398175669187422895402, 194197273971157714140399, 748976520306269439624208, 2891152465752761394231534], 2339512135020852545788400\ 1894314116725546938049708716886578664250774450162288064262014169475717300363680\ 5804953875687406488648022420061761732506356851857410035552944768196377814714453\ 1164488842392181119078826715906776405316377969897060317760241182333816742456751\ 7585216756866727254833926645940057059908998271870405477269816210141193851702398\ 4375738068547556788960637265349633022728679927187967112926844648742960059455302\ 8962114227948688885160309702078771631728787050625218787007552651572600397873240\ 3587391279026116532690669300809417969019933330799195760052640137699637186812862\ 89647092337393990] ---------------------------- (A,B)= , {2, 3, 5}, {1, 3, 4} [P^2*x^10-4*P^2*x^9+9*P^2*x^8-12*P^2*x^7-2*P*x^8+9*P^2*x^6+6*P*x^7+P^2*x^5-10*P *x^6-8*P^2*x^4+6*P*x^5+x^6+8*P^2*x^3+3*P*x^4-2*x^5-2*P^2*x^2-10*P*x^3+2*x^4-2*P ^2*x+6*P*x^2+2*x^3+P^2+2*P*x-3*x^2-2*P+1, (C*x^3-x^3+x^2-1)/((x^5-x^4+x^3)*C-x^ 5+2*x^4-2*x^3+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)-2*(79*n-142)* (n-6)*a(n-2)+(75*n^2-903*n+1638)*a(n-3)+8*(2*n-9)*(43*n-199)*a(n-4)+(-1496*n^2+ 15308*n-38712)*a(n-5)+(665*n^2-5999*n+12042)*a(n-6)+(1742*n^2-22550*n+72768)*a( n-7)+(-3363*n^2+39633*n-109722)*a(n-8)+(2600*n^2-28238*n+63936)*a(n-9)+(-708*n^ 2+12726*n-76356)*a(n-10)+(-224*n^2-19198*n+234936)*a(n-11)+(387*n^2+26067*n-\ 337734)*a(n-12)+(-1386*n^2+7278*n+101460)*a(n-13)+(3382*n^2-75478*n+420588)*a(n -14)+(-4787*n^2+127127*n-846150)*a(n-15)+(4466*n^2-126266*n+891612)*a(n-16)+(-\ 2885*n^2+84677*n-619410)*a(n-17)+(1294*n^2-39250*n+295980)*a(n-18)+(-374*n^2+ 11726*n-91116)*a(n-19)+28*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 25, a(9) = 58, a(10) = 153 , a(11) = 427, a(12) = 1281, a(13) = 4014, a(14) = 13065, a(15) = 43669, a(16) = 149095, a(17) = 517411, a(18) = 1819491, a(19) = 6467728, a(20) = 23199695}, [1, 1, 1, 2, 3, 6, 11, 25, 58, 153, 427, 1281, 4014, 13065, 43669, 149095, 517411, 1819491, 6467728, 23199695, 83859111, 305138458, 1116746277, 4107942873 , 15179584601, 56318960916, 209717158790, 783517290337, 2936092636241, 11032796547109, 41562176456855, 156935651725671, 593853531403819, 2251664141035873, 8553301263861879, 32547330471912496, 124050741308544847, 473523314395427796, 1810093937295749422, 6928543470484007254, 26554027043218475779, 101890996769639287407, 391408335218364766411, 1505176007819623297583, 5794068040756548009766, 22325280135975614785413, 86100729363126515239391, 332348992919368148873724, 1283931626169239926360279, 4964014014942519875908020], 427815724523507106389353317682301150827520560377779\ 4776746594972080880943059330252517055590311095483796605818952184085310667816886\ 1187598498424343769170065749043624049243359310059458895847085048999112725463640\ 2547272500052947236959087885050806454121163820741935400756634160948329195556022\ 8193711208957480076776385071709326766327940127411492526595699937184219488478166\ 0277605982922948022249915975351332408783158332188808563042023049348344810489938\ 6071134931463035147177398231366389350315614171423657897088095674264716252041880\ 5633549124227370100369204243595200782104822411280674908438137503310798] ---------------------------- (A,B)= , {2, 3, 5}, {1, 3, 5} [P^2*x^8-2*P^2*x^7+2*P^2*x^6+3*P^2*x^5-2*P*x^6-7*P^2*x^4+P*x^5+5*P^2*x^3+4*P*x^ 4+P^2*x^2-8*P*x^3+x^4-3*P^2*x+2*P*x^2+2*x^3+P^2+4*P*x-2*x^2-2*P-x+1, (-C*x^2-x^ 2+1)/((x^3-x^2)*C-x^4+x^3-x^2-x+1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+ (-308*n^2+2638*n-3804)*a(n-2)+(594*n^2-6096*n+11964)*a(n-3)+(-68*n^2+1426*n-\ 3180)*a(n-4)+(-1590*n^2+18420*n-52140)*a(n-5)+(2479*n^2-31445*n+96804)*a(n-6)+( -795*n^2+9219*n-23484)*a(n-7)+(-1829*n^2+29623*n-120672)*a(n-8)+(2440*n^2-40178 *n+166704)*a(n-9)+(-991*n^2+17339*n-78252)*a(n-10)+(-312*n^2+4950*n-16800)*a(n-\ 11)+(524*n^2-9142*n+38112)*a(n-12)+(-256*n^2+4856*n-22488)*a(n-13)+(68*n^2-1576 *n+9216)*a(n-14)-6*(3*n-40)*(n-14)*a(n-15)+4*(2*n-27)*(n-14)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 10, a(8) = 21, a( 9) = 42, a(10) = 99, a(11) = 241, a(12) = 655, a(13) = 1878, a(14) = 5743, a(15 ) = 18276, a(16) = 60218}, [1, 1, 1, 2, 3, 6, 10, 21, 42, 99, 241, 655, 1878, 5743, 18276, 60218, 203304, 699966, 2446420, 8655527, 30930706, 111462384, 404544195, 1477351258, 5424312998, 20011313571, 74139563880, 275726484057, 1028963976970, 3851920954270, 14460757405779, 54429899794724, 205364775696050, 776561961609946, 2942502751239473, 11170814301627601, 42483783478428699, 161838136452958641, 617464187649190371, 2359250918838252013, 9026720176597236711, 34581569478240997945, 132643704451636854428, 509362290129359588677, 1958116242869007731047, 7535240372715035634701, 29025520836290767191085, 111909306801745152025533, 431853252750026448774330, 1667907281999441591213395], 137774086692780259155278834604659306132119290839314\ 7822282619581339890755066202413775016091004049937867943932140377255773961037492\ 3441469120957142239695614045442685583888847083506290814236864538457407768335443\ 7032022733398475547744154229652368999741260076497850560091251794956588299207974\ 0542006858939726261095616448113132258098976988894183932865620356045456526924529\ 0939045103774534578188624124596407194451363859955567650973328307615551441554238\ 9674127677466883674987205997385453263127893170253970066523435163221747095397851\ 2114160078763220572146170187215969995300132260355597317036259925530095] ---------------------------- (A,B)= , {2, 3, 5}, {1, 4, 5} [P^2*x^11-2*P^2*x^10+2*P^2*x^9+P^2*x^8-2*P*x^9-3*P^2*x^7+4*P^2*x^6+P^2*x^5-4*P* x^6+x^7-5*P^2*x^4+P*x^5+2*x^6+4*P^2*x^3+2*x^5+3*P^2*x^2-8*P*x^3+3*x^4-4*P^2*x+2 *x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^4+x^3)*C+x^2+x-1)/((x^6-x^5+x^3)*C+x^4-x^3+ 2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-421*n^2+3569*n-5184)*a(n-2 )+(1110*n^2-11238*n+22392)*a(n-3)+(-1089*n^2+13101*n-32160)*a(n-4)+(-859*n^2+ 9479*n-27624)*a(n-5)+(2673*n^2-35475*n+114012)*a(n-6)+(-1203*n^2+17613*n-60024) *a(n-7)+(-1668*n^2+22590*n-77244)*a(n-8)+(2238*n^2-30192*n+96432)*a(n-9)+(-603* n^2+8193*n-27612)*a(n-10)+(-848*n^2+8056*n+5916)*a(n-11)+(1020*n^2-6354*n-45288 )*a(n-12)+(-613*n^2+6719*n-8220)*a(n-13)+(211*n^2-10139*n+104964)*a(n-14)+(44*n ^2+5114*n-75528)*a(n-15)+(-238*n^2+5414*n-32424)*a(n-16)+(367*n^2-12689*n+ 109644)*a(n-17)+(-230*n^2+7984*n-69408)*a(n-18)+(4*n^2-176*n+2160)*a(n-19)+(176 *n^2-6268*n+55296)*a(n-20)+(-142*n^2+5114*n-45624)*a(n-21)+28*(2*n-33)*(n-20)*a (n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 9, a(7) = 20, a(8) = 46, a(9) = 108, a(10) = 263, a(11) = 665, a(12) = 1754, a(13) = 4832 , a(14) = 13905, a(15) = 41706, a(16) = 129882, a(17) = 417942, a(18) = 1382575 , a(19) = 4679384, a(20) = 16136397, a(21) = 56499427, a(22) = 200308448}, [1, 1, 1, 2, 4, 9, 20, 46, 108, 263, 665, 1754, 4832, 13905, 41706, 129882, 417942, 1382575, 4679384, 16136397, 56499427, 200308448, 717505330, 2592272779, 9433787252, 34544964747, 127178564289, 470415752644, 1747233843848, 6513666755093, 24363617145962, 91403224551058, 343848221135061, 1296748721168467, 4901626277381020, 18567026986952259, 70468326429839390, 267937963382464039, 1020490729260900527, 3892868971403518141, 14872111244322341755, 56895505790930996375, 217946462497426168958, 835902137049824860853, 3209702951620014581736, 12338165359441326827189, 47477455597946830187890, 182874074509379076846854, 705055377493737207495788, 2720701063851834540852611], 217742477841195421748467056238436973947839787027278\ 7728962363929199661376554740881261849678197321980700368233719033154282509480117\ 1163787426251218502483946995649234521244316330571490159988898026043876100023211\ 8231898445908610282250799247242076095178882212596053248215821162172684404278191\ 8101620391546244385997302449248164969613472746287578640871354843057773796337927\ 4241927520282549443750973281500612421147071836701679500684237750715416869792250\ 9788270712061267436132041470676444699825833625437431442176588516413575683475421\ 9924716654303090992074236345728225257153423344895713234900327712113926] ---------------------------- (A,B)= , {2, 3, 5}, {2, 3, 4} [P^2*x^8-2*P^2*x^7-2*P*x^8+2*P^2*x^6+4*P*x^7+x^8-2*P^2*x^5-4*P*x^6-2*x^7+5*P^2* x^4+2*P*x^5+2*x^6-3*P^2*x^3-7*P*x^4+P^2*x^2+6*P*x^3+2*x^4-2*P^2*x-3*x^3+P^2+2*P *x-2*P+1, (C*x^4-x^4+x^3-1)/(C*x^4-x^4+x^3+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*( n-5)*a(n-1)+(-176*n^2+1340*n-1848)*a(n-2)+(304*n^2-2674*n+4872)*a(n-3)+(-377*n^ 2+3467*n-7434)*a(n-4)+(684*n^2-6750*n+16680)*a(n-5)+(-953*n^2+10391*n-28566)*a( n-6)+(735*n^2-8091*n+21126)*a(n-7)+(-614*n^2+5744*n-6168)*a(n-8)+(511*n^2-2743* n-18846)*a(n-9)+(-24*n^2-6282*n+68508)*a(n-10)+(-409*n^2+14641*n-114330)*a(n-11 )+(728*n^2-22616*n+167472)*a(n-12)+(-880*n^2+26884*n-200880)*a(n-13)+(758*n^2-\ 22460*n+165888)*a(n-14)+(-566*n^2+16346*n-117756)*a(n-15)+4*(107*n-1476)*(n-16) *a(n-16)-6*(37*n-522)*(n-17)*a(n-17)+28*(2*n-29)*(n-18)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5, a(7) = 10, a(8) = 21, a(9) = 49, a(10) = 127, a(11) = 357, a(12) = 1072, a(13) = 3382, a(14) = 11061, a(15) = 37155, a(16) = 127358, a(17) = 443481, a(18) = 1563871}, [1, 1, 1, 2, 3, 5, 10, 21, 49, 127, 357, 1072, 3382, 11061, 37155, 127358, 443481, 1563871, 5572145, 20026797, 72512473, 264235514, 968275262, 3565757786, 13189098472, 48976906165, 182521102077, 682396495770, 2558812186525, 9620772050520, 36262407819288, 136991949415767, 518622213482785, 1967246954085934, 7475828197549701, 28457670873024713, 108500350035499273, 414296574004158468, 1584165682726092605, 6065450397061179595, 23252301026137338223, 89244039925758687278, 342906196351425631608, 1318951656846816335129, 5078277436491931509832, 19571147933250028620987, 75493302543606529503424, 291456773848796642285923, 1126149748064090037913638, 4354699964233268275125754] , 37777639836688006527075094746430788050879243863831721324639431192311450897924\ 3529750864414466238206409114787549080436085040955899558266915930145720894785810\ 0076763422412027160888423399050500047265978994100250013751229566700090221347314\ 8948678166119107252256504080265420656657561091718591836778758257647318907080982\ 4794437964655130839456328543372120657222558470024650949479840285401710661526002\ 6202979702872347793372989092989143472551380387617451333450502027215676855087315\ 1374315670488865090783563870076622034175697095068126239792237247021431282281615\ 61250510719812552910116947142616673251559395] ---------------------------- (A,B)= , {2, 3, 5}, {2, 3, 5} [P^2*x^6-2*P*x^6+P^2*x^4+P*x^5+x^6-2*P^2*x^3-2*P*x^4+3*P^2*x^2+2*P*x^3+x^4-3*P^ 2*x-2*P*x^2-x^3+P^2+4*P*x-2*P-x+1, (-C*x^2-x^3+1)/((x^3-x^2)*C-x^3-x+1), {-5*n* (n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-324*n^2+2754*n-3972)*a(n-2)+(809*n^2-\ 8041*n+15828)*a(n-3)+(-1173*n^2+13173*n-32052)*a(n-4)+(1159*n^2-14501*n+41976)* a(n-5)+(-907*n^2+12797*n-44004)*a(n-6)+(592*n^2-9200*n+36144)*a(n-7)+(-392*n^2+ 5788*n-21684)*a(n-8)+(240*n^2-3324*n+10344)*a(n-9)+(-71*n^2+931*n-1992)*a(n-10) +(32*n^2-442*n+936)*a(n-11)-8*(2*n-13)*(n-12)*a(n-12)-2*(n-12)*(n-14)*a(n-13)+4 *(2*n-27)*(n-14)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5, a(7) = 9, a(8) = 17, a(9) = 35, a(10) = 79, a(11) = 196, a(12) = 531, a(13) = 1548, a(14) = 4777}, [1, 1, 1, 2, 3, 5, 9, 17, 35, 79, 196, 531, 1548, 4777, 15380, 51091, 173729, 601378, 2111101, 7495199, 26860786, 97024164, 352840492, 1290712679, 4745956192, 17531012580, 65023160264, 242063182233, 904142908033, 3387367919993, 12725978685342, 47931876989452, 180956815600023, 684645293850531, 2595541283788421, 9858268858196575, 37508426555867068, 142943043366796536, 545580020462036220, 2085328912395136846, 7981314289600540723, 30586113246175744452, 117352770572119723955, 450768191388277787973, 1733316966360738904405, 6671807466179544024728, 25705592389009148806257, 99131064308480282580212, 382622840158924982403661, 1478064056264781268358200], 123026971365484853369423330932620987155102157866265\ 1310481620169444555877223642602205946958690503428716086928881291112816131426271\ 1529935163133922578584964452492334043994754901700412534501240630326668301953203\ 3539789611564614059889567655874518341884534293413731212446577777198723958109807\ 3186833645839751860020810787461170718155425545987600024188899753409835219589992\ 2398480673630442915468484294722804981607846666148129737011610128356554804535784\ 2594265037311922044488474130332261380815937554542590194868337155183578173670537\ 7828327987968773005083014044102225409158099173237249388128940092854668] ---------------------------- (A,B)= , {2, 3, 5}, {2, 4, 5} [P^2*x^9-2*P^2*x^8-2*P*x^9+4*P^2*x^7+2*P*x^8+x^9-3*P^2*x^6-6*P*x^7+3*P^2*x^5+2* P*x^6+3*x^7+P^2*x^4-5*P*x^5+x^6-3*P^2*x^3-2*P*x^4+3*x^5+5*P^2*x^2+2*P*x^3+x^4-4 *P^2*x-4*P*x^2-x^3+P^2+6*P*x-2*P-2*x+1, ((x^5+x^3)*C+x^3+x-1)/((x^5-x^4+x^3)*C+ x^3-x^2+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-437*n^2+3685*n-\ 5352)*a(n-2)+(1339*n^2-13313*n+26520)*a(n-3)+(-2358*n^2+26718*n-65856)*a(n-4)+( 2551*n^2-32405*n+94392)*a(n-5)+(-1704*n^2+25326*n-88872)*a(n-6)+(215*n^2-8581*n +49464)*a(n-7)+(1222*n^2-10052*n+3720)*a(n-8)+(-1720*n^2+14786*n+3000)*a(n-9)+( 1346*n^2-5206*n-81000)*a(n-10)+(-493*n^2-9787*n+170016)*a(n-11)+(-153*n^2+18555 *n-206928)*a(n-12)+(142*n^2-10802*n+121656)*a(n-13)+(273*n^2-6045*n+29568)*a(n-\ 14)+(-664*n^2+20096*n-151824)*a(n-15)+(868*n^2-28064*n+226752)*a(n-16)+(-697*n^ 2+23105*n-191184)*a(n-17)+(462*n^2-15918*n+136584)*a(n-18)+(-182*n^2+6454*n-\ 56784)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a( 4) = 2, a(5) = 4, a(6) = 8, a(7) = 17, a(8) = 37, a(9) = 83, a(10) = 195, a(11) = 482, a(12) = 1257, a(13) = 3463, a(14) = 10054, a(15) = 30594, a(16) = 96898, a(17) = 317131, a(18) = 1065535, a(19) = 3655453, a(20) = 12749632}, [1, 1, 1, 2, 4, 8, 17, 37, 83, 195, 482, 1257, 3463, 10054, 30594, 96898, 317131, 1065535 , 3655453, 12749632, 45062123, 160992396, 580315532, 2107500509, 7702595318, 28307208001, 104531764453, 387657492803, 1443101641381, 5390481710305, 20197561548306, 75890988780049, 285888733457277, 1079514596930974, 4085120328023641, 15490147178265406, 58846134506759483, 223942267781453370, 853610413306876772, 3258693825100888728, 12457952145153758255, 47690491510273047694, 182795322439462904300, 701480363803278665200, 2694974919946768728729, 10364697200642959394530, 39902229448609336036740, 153763823575032728952383, 593071583064484363895699, 2289480583193642623153957], 1858585770070120962403366747691110817619372086295230452837885261352199439429550\ 7702031300366691682493598296655761991708507761381675211464868800895980195285168\ 5069416233850035055356221055378765887913939063842170022403687179160998924939431\ 0187003169304877026314358408583010153490887482253609565581620163235601758658506\ 9999510422614688927076774052110653983370091043988346651423682430939955230736997\ 9545390514527369696772135547564874503770316296037540778235041728776932921394246\ 6011194714738792968564852833105599879401948245727035196987385414167360879489168\ 180573094036549575398779483615534006527528] ---------------------------- (A,B)= , {2, 3, 5}, {3, 4, 5} [P^2*x^7-2*P*x^8+x^9-2*P*x^7+2*x^8+P^2*x^5-2*P*x^6+2*x^7+2*P^2*x^4-5*P*x^5+3*x^ 6+P^2*x^3-4*P*x^4+3*x^5-P^2*x^2+2*P*x^3-2*P^2*x+4*P*x^2-3*x^3+P^2+2*P*x-2*x^2-2 *P+1, ((x^5+x^4)*C+x^3+x^2-1)/(C*x^4+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-\ 6)*a(n-1)+(-203*n^2+1771*n-2520)*a(n-2)+(203*n^2-2113*n+3864)*a(n-3)+(200*n^2-\ 2344*n+6504)*a(n-4)+(-175*n^2+2393*n-6552)*a(n-5)+(-418*n^2+6224*n-23352)*a(n-6 )+(15*n^2-807*n+4560)*a(n-7)+(399*n^2-6501*n+27360)*a(n-8)+(86*n^2-2458*n+14016 )*a(n-9)+(13*n^2-323*n+3816)*a(n-10)+(-83*n^2+3475*n-30072)*a(n-11)+(-8*n^2+928 *n-10512)*a(n-12)+(-n^2-451*n+6336)*a(n-13)+(58*n^2-2138*n+18984)*a(n-14)+(37*n ^2-1253*n+10536)*a(n-15)+2*(n-12)*(n-11)*a(n-16)+20*(2*n-31)*(n-18)*a(n-17) = 0 , a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 22, a(9) = 45, a(10) = 99, a(11) = 233, a(12) = 594, a(13) = 1633, a(14) = 4803 , a(15) = 14920, a(16) = 48340, a(17) = 161624}, [1, 1, 1, 2, 3, 6, 11, 22, 45, 99, 233, 594, 1633, 4803, 14920, 48340, 161624, 553208, 1927363, 6807517, 24307643, 87570150, 317828942, 1160855070, 4263256111, 15732283464, 58303199438 , 216894143144, 809643878470, 3031737195989, 11384670991346, 42862433630526, 161759437788865, 611813168497384, 2318747584482650, 8804616219635255, 33491389848078440, 127605942762582704, 486942618794758493, 1860854093192209989, 7120931148239607510, 27284550133779393510, 104669685850656191960, 401994711278831614409, 1545569607672081819945, 5948414309014238018136, 22915837330131340388409, 88363169233952721905961, 341026822217351123195086, 1317254028019969106947587], 109304263576065424700629695861735452863822016522708\ 0473232101811078580513171969196544415445419990976418940889296571267973618828260\ 3261821282676181022791601934918114602714096755666255913390107214669408473798607\ 9066389457189694739500246975469909331946545764905436869861681902708738192168933\ 3016097230388229443082358208390450128103066599735859414622247011894744994104213\ 2399898474842459932494083810077681441168567987974608062278276512031554279411817\ 1999385978221829595893810700262350261403896264394889152533078804101256309780339\ 2705972020570036399828935821022820960326993796605736011506578242870777] ---------------------------- (A,B)= , {2, 3, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^9+2*P^2*x^8-2*P^2*x^6+5*P^2*x^5-3*P^2*x^4-2*P*x^5+3*P*x^4+P^2 *x^2-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^5-x^5+x^4+x-1), {-4*n*(n-4)*a(n)+3*(15*n-\ 14)*(n-5)*a(n-1)+(-176*n^2+1340*n-1848)*a(n-2)+(289*n^2-2587*n+4746)*a(n-3)+(-\ 198*n^2+2094*n-4788)*a(n-4)+(-77*n^2+179*n+870)*a(n-5)+(497*n^2-3965*n+6294)*a( n-6)+(-738*n^2+6762*n-12876)*a(n-7)+(458*n^2-4640*n+9648)*a(n-8)+(-16*n^2+484*n -1296)*a(n-9)+(-302*n^2+2744*n-5976)*a(n-10)+(355*n^2-3343*n+6474)*a(n-11)+(-\ 182*n^2+1442*n-468)*a(n-12)+(36*n^2-192*n-888)*a(n-13)+4*(4*n-39)*(n-10)*a(n-14 )+(2*n^2-98*n+828)*a(n-15)+(-10*n^2+256*n-1608)*a(n-16)+4*(2*n-23)*(n-12)*a(n-\ 17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5, a(7) = 9, a(8) = 19, a(9) = 44, a(10) = 114, a(11) = 323, a(12) = 980, a(13) = 3119, a(14 ) = 10274, a(15) = 34701, a(16) = 119442, a(17) = 417239}, [1, 1, 1, 2, 3, 5, 9 , 19, 44, 114, 323, 980, 3119, 10274, 34701, 119442, 417239, 1474964, 5265638, 18955098, 68721536, 250695055, 919511873, 3388899157, 12543696960, 46608914572, 173791200653, 650074774716, 2438683316430, 9172741414690, 34586162652949, 130702431487616, 494960681442180, 1878014585925083, 7138560231749425, 27180264704765461, 103652825258739972, 395868043247525938, 1513989566988756940, 5797799202485604604, 22229978393896235144, 85333765632546563502, 327930333741476623470, 1261525498015858607661, 4857816539188631198517, 18723861564631749309994, 72233578735956059701923, 278903403981656766365923, 1077760653267373909904129, 4168009304250643149587454], 363006590543681938880466\ 4888425406372377521627896189187013027011859845806085122474191716735443576959596\ 4839310866484625627654606971060796748402417430766767964619729960931087802367723\ 0740513149973138219977776532159812471090369849598463740786624625629924361606347\ 0980804726269070481882691596275129954131248235587229305693497849358552305220665\ 2370209842671922347528524805072655416857507700382734125623687703136608710330310\ 8393412082953045782617572252542253504140129423877103434395214976692533293194359\ 9013783300369522876513276845393311927018517830472238148414465745394036105015369\ 937558372019268644] ---------------------------- (A,B)= , {2, 3, 5}, {1, 2, 3, 5} [P^2*x^8-P^2*x^6+4*P^2*x^5-4*P^2*x^4-P*x^5+4*P*x^4+3*P^2*x^2-2*P*x^3-3*P^2*x-2* P*x^2+x^3+P^2+4*P*x-2*P-x+1, (-C*x^2+1)/((x^3-x^2)*C-x^4-x+1), {5*n*(n-5)*a(n)+ (-65*n^2+445*n-360)*a(n-1)+(324*n^2-2754*n+3972)*a(n-2)+(-795*n^2+7935*n-15636) *a(n-3)+(997*n^2-11501*n+28188)*a(n-4)+(-332*n^2+5266*n-16584)*a(n-5)+(-962*n^2 +10600*n-28740)*a(n-6)+(1689*n^2-21765*n+68700)*a(n-7)+(-1129*n^2+15635*n-52656 )*a(n-8)+(34*n^2+310*n-6120)*a(n-9)+(559*n^2-9761*n+44556)*a(n-10)+(-440*n^2+ 7858*n-36120)*a(n-11)+(101*n^2-1987*n+9924)*a(n-12)+(56*n^2-1030*n+4632)*a(n-13 )+(-49*n^2+1055*n-5652)*a(n-14)+2*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5, a(7) = 8, a(8) = 15, a(9) = 30, a(10 ) = 68, a(11) = 170, a(12) = 469, a(13) = 1391, a(14) = 4358, a(15) = 14193}, [ 1, 1, 1, 2, 3, 5, 8, 15, 30, 68, 170, 469, 1391, 4358, 14193, 47550, 162685, 565686, 1992464, 7092091, 25467068, 92137797, 335512581, 1228679696, 4522094222 , 16717573319, 62049678051, 231136592002, 863804059120, 3237825006965, 12169524245556, 45854287337352, 173176037643693, 655423705479446, 2485513771494060, 9443002440918293, 35937694768911408, 136989748994700942, 522973659867068305, 1999335298862671879, 7653661518939934811, 29335772841730839271, 112574526117481342544, 432483115916794408164, 1663255481973322205875, 6403034931287107090730, 24673342640541327668183, 95162323836407226121471, 367348433121507699619141, 1419220712588628316689363], 1186258271320563912264773627693824148597796067395101157429672805160050843710170\ 2794568308860728089250445830213813911542325662452509111162042919501186217699913\ 7948312000727948165916843754165088370514429687929725236016179042664584909612070\ 7489379983758039044230580872621020036843765000565758501104880287402563419473724\ 9839633795222304656754776656351617501377863695323797372959301167447021582713687\ 9602411150906936616240237726941282479081443289893990818589177264019274407005357\ 2594882970764490599848776953698002258053231023218594438076893181582238467824941\ 136884223951924664971153536722741194397605] ---------------------------- (A,B)= , {2, 3, 5}, {1, 2, 4, 5} [P^2*x^11-P^2*x^9+3*P^2*x^8-P^2*x^7-2*P*x^8-P^2*x^6+5*P^2*x^5-4*P^2*x^4-3*P*x^5 -P^2*x^3+4*P*x^4+x^5+5*P^2*x^2-2*P*x^3-4*P^2*x-4*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (C*x^3+x-1)/((x^6-x^4+x^3)*C+x^4-x^2+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408 )*a(n-1)+(-437*n^2+3685*n-5352)*a(n-2)+(1325*n^2-13207*n+26328)*a(n-3)+(-2170*n ^2+24926*n-61704)*a(n-4)+(1593*n^2-21543*n+64152)*a(n-5)+(624*n^2-5052*n+9036)* a(n-6)+(-2517*n^2+32523*n-103200)*a(n-7)+(2191*n^2-31823*n+113244)*a(n-8)+(-268 *n^2+6314*n-31572)*a(n-9)+(-1165*n^2+13445*n-28440)*a(n-10)+(1171*n^2-12359*n+ 7236)*a(n-11)+(-329*n^2+1591*n+24732)*a(n-12)+(-260*n^2+2896*n-5292)*a(n-13)+( 218*n^2+788*n-37596)*a(n-14)+(40*n^2-3908*n+44100)*a(n-15)+(-57*n^2+1227*n-7416 )*a(n-16)+(-58*n^2+2384*n-21780)*a(n-17)+(130*n^2-4412*n+36984)*a(n-18)+(-37*n^ 2+1253*n-10536)*a(n-19)-2*(11*n-156)*(n-17)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 4, a(6) = 8, a(7) = 16, a(8 ) = 33, a(9) = 71, a(10) = 162, a(11) = 395, a(12) = 1031, a(13) = 2872, a(14) = 8479, a(15) = 26281, a(16) = 84692, a(17) = 281330, a(18) = 956704, a(19) = 3313334, a(20) = 11641531, a(21) = 41379876}, [1, 1, 1, 2, 4, 8, 16, 33, 71, 162, 395, 1031, 2872, 8479, 26281, 84692, 281330, 956704, 3313334, 11641531, 41379876, 148491032, 537115512, 1956032285, 7165119912, 26380958705, 97570494870, 362321399406, 1350326165595, 5048956284047, 18934485950188, 71200448458936, 268405832585297, 1014135097077830, 3839891413882467, 14567814592529505, 55368461929235083, 210799483091836015, 803835947354160288, 3069817203081203521, 11739923788812822023, 44956213867842866503, 172366563965896498940, 661645098162569979065, 2542601851282615101669, 9781093540358981683388, 37664208246166021852727, 145171379772409872479605, 560046194542758614777104, 2162413651161537059416596], 1767573904601197767741655\ 7005702285188982032375016138862864941407776868959728104384647762060143575221716\ 4875613791402753061682129719713323144829774542862395236089859396135222706404499\ 7685254861049584118358024521933923458519884812294763453063452618807101341333603\ 6753598808051948586533402359984665501607100441373797514487684554151403989840875\ 3037953737580897044049120907502664150669957858260416808417461620815278304571071\ 7653327565675546819842805529177133733889242118159868463723622455276686140888193\ 0964597178359621619318889792713375099023623114650994535038665858635341024256399\ 68040083165377175] ---------------------------- (A,B)= , {2, 3, 5}, {1, 3, 4, 5} [P^2*x^11-2*P^2*x^10+4*P^2*x^9-3*P^2*x^8-2*P*x^9+2*P^2*x^7+2*P*x^8+2*P^2*x^6-4* P*x^7-P^2*x^5+x^7-P^2*x^4+P*x^5+3*P^2*x^3-2*P*x^4+x^5-P^2*x^2-2*P*x^3+x^4-2*P^2 *x+4*P*x^2-x^3+P^2+2*P*x-2*x^2-2*P+1, (C*x^4+x^2-1)/((x^6-x^5+x^4)*C+x^4-x^3+x^ 2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-203*n^2+1771*n-2520)*a(n-2) +(189*n^2-2007*n+3672)*a(n-3)+(352*n^2-3812*n+9936)*a(n-4)+(-695*n^2+8425*n-\ 23592)*a(n-5)+(20*n^2+188*n-3372)*a(n-6)+(655*n^2-9431*n+34272)*a(n-7)+(-384*n^ 2+6060*n-23916)*a(n-8)+(-400*n^2+2252*n+10380)*a(n-9)+(728*n^2-4792*n-17148)*a( n-10)+(-371*n^2+577*n+25212)*a(n-11)+(56*n^2-874*n+11856)*a(n-12)+(111*n^2+3009 *n-57552)*a(n-13)+(-167*n^2-461*n+32268)*a(n-14)+(165*n^2-3471*n+20904)*a(n-15) +(97*n^2-1745*n+3648)*a(n-16)+(-415*n^2+11921*n-85044)*a(n-17)+(688*n^2-22250*n +179784)*a(n-18)+(-627*n^2+21027*n-175776)*a(n-19)+(438*n^2-15186*n+131016)*a(n -20)+(-182*n^2+6454*n-56784)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 10, a(8) = 20, a(9) = 38, a(10) = 84, a(11) = 194, a(12) = 505, a(13) = 1409, a(14) = 4242, a(15) = 13412, a(16) = 44119, a(17) = 149116, a(18) = 514510, a(19) = 1802807, a(20) = 6394314, a(21) = 22903188, a(22) = 82706409}, [1, 1, 1, 2, 3, 6, 10, 20, 38, 84 , 194, 505, 1409, 4242, 13412, 44119, 149116, 514510, 1802807, 6394314, 22903188, 82706409, 300734282, 1100059762, 4044954091, 14942122765, 55423737536 , 206339725672, 770760790118, 2887847221688, 10850069079797, 40869085144364, 154302870800033, 583838198277962, 2213511436414106, 8407764062517239, 31991439958003007, 121924815061177206, 465383248028059289, 1778890238666560044, 6808797524398845680, 26094012824474687237, 100122039355191064561, 384599385345290890810, 1478943401387510007909, 5692913786408754255978, 21934896112060271879623, 84592908518187998634655, 326520681349968352675058, 1261386256058941015526877], 105163857682655222192552785972877517202234203066536\ 4609661031207611309226878246354801288654330208727582245324108521368340146902900\ 7561064929417995702980707516596425700434230842087035701718575674780921298278502\ 6423110759454540423003667293829989479603272802991953302492188041026459455955753\ 3494723095494841829235899254300358061550702345181058249787682859113030624856623\ 6840223005407156903709877640080197875878185283483372021803779871443789915135486\ 9577147330451738906392703530832828564383021012492907862300093740608263723103307\ 0536323571933621464789129190816168737195540779324384505659126526100385] ---------------------------- (A,B)= , {2, 3, 5}, {2, 3, 4, 5} [P^2*x^9-2*P*x^9+P^2*x^7+x^9+P^2*x^6-2*P*x^7+P^2*x^5-2*P*x^6+x^7+P^2*x^4-P*x^5+ x^6-2*P^2*x^3+P^2*x^2+4*P*x^3-x^4-2*P^2*x-2*x^3+P^2+2*P*x-2*P+1, (C*x^5+x^3-1)/ (C*x^5+x^3+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-\ 2688)*a(n-2)+(376*n^2-3716*n+7080)*a(n-3)+(-407*n^2+4387*n-10320)*a(n-4)+(513*n ^2-6297*n+18504)*a(n-5)+(-427*n^2+6287*n-22560)*a(n-6)+(135*n^2-2451*n+10584)*a (n-7)+(-184*n^2+3176*n-13488)*a(n-8)+(21*n^2-1557*n+12288)*a(n-9)+(92*n^2+296*n -13080)*a(n-10)+(72*n^2-4860*n+46248)*a(n-11)+(-54*n^2+4722*n-51600)*a(n-12)+( 96*n^2-4044*n+37848)*a(n-13)+(-48*n^2+3144*n-34776)*a(n-14)+(50*n^2-1750*n+ 15408)*a(n-15)+(46*n^2-1682*n+15192)*a(n-16)+4*(n-17)*(5*n-126)*a(n-17)+12*(7*n -116)*(n-18)*a(n-18)-6*(5*n-76)*(n-19)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5, a(7) = 9, a(8) = 16 , a(9) = 31, a(10) = 66, a(11) = 155, a(12) = 404, a(13) = 1151, a(14) = 3513, a(15) = 11272, a(16) = 37464, a(17) = 127676, a(18) = 443190, a(19) = 1560126, a(20) = 5553299}, [1, 1, 1, 2, 3, 5, 9, 16, 31, 66, 155, 404, 1151, 3513, 11272 , 37464, 127676, 443190, 1560126, 5553299, 19947368, 72198606, 263029263, 963697793, 3548485278, 13124064634, 48732134870, 181599306146, 678921256101, 2545692398784, 9571167974030, 36074572113439, 136279571506876, 515916365017554, 1956954014406783, 7436618223024844, 28308098597605647, 107929031280180214, 412111560605604143, 1575798989934040043, 6033376314957969366, 23129208165366836103, 88771141095194092888, 341087584807512152975, 1311951164065538867048, 5051305264660983820415, 19467135672912618095138, 75091864899256137407722, 289906168962883430032779, 1120155715434388465033460], 9408259002168208247359209456921963847097309768006714593866033186087395423522055\ 9952674064322819794177627658227669140257828141207496380953397283185243989248272\ 6951709720625754335476786698393138016229903031318524641559951294020040893340877\ 1298437457611394779243704368995865404537182664789001134144806089836448972338617\ 9146676378532618535575592074325447958607218072219104681429256876072042291678751\ 7885846458462756956432244217376566508206982853764744734406370636604833825428126\ 1915258413839116249370611376335011853345571931495203505052379374409779852648129\ 02353249819306782933908812051092263787666] ---------------------------- (A,B)= , {2, 3, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^9+P^2*x^8+P^2*x^6+P^2*x^5-2*P^2*x^4+P*x^5+2*P*x^4+P^2*x^2-2*P^2 *x+P^2+2*P*x-2*P+1, -1/(C*x^6+x^4+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-\ 1)+(-219*n^2+1887*n-2688)*a(n-2)+(362*n^2-3610*n+6888)*a(n-3)+(-255*n^2+2919*n-\ 6888)*a(n-4)+(-37*n^2+29*n+744)*a(n-5)+(329*n^2-3583*n+9012)*a(n-6)+(-272*n^2+ 3730*n-12240)*a(n-7)+(-42*n^2+48*n+1668)*a(n-8)+(138*n^2-1716*n+5304)*a(n-9)+(-\ 131*n^2+2011*n-7872)*a(n-10)+(-50*n^2+208*n+876)*a(n-11)+(146*n^2-1846*n+6060)* a(n-12)+(-127*n^2+1265*n-2328)*a(n-13)+(85*n^2-1199*n+4140)*a(n-14)+4*(7*n-75)* (n-11)*a(n-15)+(-6*n^2+96*n-336)*a(n-16)+(23*n^2-493*n+2628)*a(n-17)+2*(n-12)*( 2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 5 , a(7) = 8, a(8) = 14, a(9) = 26, a(10) = 55, a(11) = 131, a(12) = 350, a(13) = 1022, a(14) = 3185, a(15) = 10376, a(16) = 34852, a(17) = 119632, a(18) = 417333}, [1, 1, 1, 2, 3, 5, 8, 14, 26, 55, 131, 350, 1022, 3185, 10376, 34852, 119632, 417333, 1474279, 5261301, 18935777, 68643767, 250394229, 918368131, 3384583528, 12527462460, 46547890862, 173561725958, 649210964989, 2435427270782 , 9160449414466, 34539685030759, 130526412280788, 494293010691577, 1875478092625442, 7128909675827533, 27143494688219477, 103512533315604593, 395332069679100132, 1511939347095254268, 5789947219502113316, 22199872160164201201, 85218205226014059866, 327486300255885689979, 1259817623340588254127, 4851241314949417512401, 18698524215755836177652, 72135857136680829347157, 278526194604790537963594, 1076303445220749955334118], 9076938356322779159389700361712688476204917706677994778059003188485623846357800\ 1965784142728345910498138497348743324769165196815504218223092495354003553386413\ 7316906879328028113953985883896448554657690633658954240741493849680533250960568\ 8667824380759953019199270455207582065197961411573658183839219030100077681086412\ 1548344570454858484254910208132198165457431964664507598932820568208628019528770\ 5132361995856094562557318947668721712288067951726765961037464749553325263828017\ 8655104382873150258658070348716976678738078173373462763265381922400742440448563\ 14048739858293079128561491318781161946260] ---------------------------- (A,B)= , {2, 4, 5}, {} [P^2*x^5+2*P^2*x^4-2*P*x^5+3*P^2*x^3-4*P*x^4+x^5-2*P^2*x^2-3*P*x^3+2*x^4-2*P^2* x+6*P*x^2+P^2+2*P*x-3*x^2-2*P+1, ((x^3-x)*C-x^3-x^2+1)/((x^3+x^2-x)*C-x^3-x^2-x +1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1)-11*(11*n-20)*(n-5)*a(n-2)+(87*n^ 2-837*n+1512)*a(n-3)+(277*n^2-2409*n+5432)*a(n-4)+(-356*n^2+3954*n-10996)*a(n-5 )+(-192*n^2+2034*n-5208)*a(n-6)+(244*n^2-3966*n+15716)*a(n-7)+(46*n^2+66*n-3712 )*a(n-8)+(-9*n^2+675*n-5232)*a(n-9)+(54*n^2-1314*n+7776)*a(n-10)+10*(n-11)*(5*n -56)*a(n-11)+12*(n-12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 38, a(8) = 90, a(9) = 227, a(10) = 610, a(11) = 1740, a(12) = 5231}, [1, 1, 2, 4, 8, 17, 38, 90, 227, 610, 1740, 5231, 16430, 53451, 178765, 610952, 2123890, 7484497, 26667782, 95889889, 347447909, 1267218066, 4648105412, 17133976089, 63437990117, 235800295775, 879570828277, 3291416367487, 12352509949332, 46481454639292, 175332289038462, 662855505694621 , 2511177005933507, 9531739239005258, 36244755979304360, 138052480995439209, 526650177127152839, 2012040434973057757, 7697488024923790849, 29486555056302509409, 113091416346905424722, 434246610471577928762, 1669234743713214339676, 6423144903467831561863, 24740268666835142791959, 95381968184080688365610, 368055802098615512682135, 1421439329607234789344251, 5494058530699568495063881, 21251652820815936901293000], 18708168091189010993914\ 8135649577368391614441217603533634725407719089545782877599211114407096526076058\ 6513234016776925523168655354615593581819668063417687413152298093068736380673981\ 2578573626391467516776551827135089134017451985442884132709448278723058817721593\ 9701878709766457286143490061430269890972199698366411961870115016774022599210654\ 6616507472715301073307819133122433361311133929925045281547060509474060587581344\ 7513997261612575399649318029506561812554586970930146801247511320270710538092770\ 9857882709580010321200176635270837074571026466673576705413751782685547993043591\ 87573879728806991965] ---------------------------- (A,B)= , {2, 4, 5}, {1} [P^2*x^7+2*P^2*x^6+3*P^2*x^4-3*P^2*x^3+P^2*x^2+3*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, (-C*x+1)/((x^4+x^2-x)*C-x^4-x^3-x+1), {-3*n*(n-3)*a(n)+2*(17*n-16)*(n-4)*a(n-1) +(-133*n^2+879*n-1160)*a(n-2)+(225*n^2-1737*n+2976)*a(n-3)+(-250*n^2+1932*n-\ 3536)*a(n-4)+(364*n^2-2868*n+5288)*a(n-5)+(-375*n^2+3429*n-7632)*a(n-6)+(194*n^ 2-1884*n+4696)*a(n-7)+(-165*n^2+1719*n-4632)*a(n-8)+(42*n^2-864*n+3624)*a(n-9)+ (34*n^2-330*n+704)*a(n-10)+3*(n-8)*(7*n-61)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 27, a(8) = 61, a(9) = 150, a(10) = 403, a(11) = 1169, a(12) = 3599}, [1, 1, 2, 4, 7, 13, 27, 61, 150, 403, 1169, 3599, 11583, 38512, 131156, 454808, 1599406, 5688009, 20415648, 73846144, 268886415, 984707531, 3624429705, 13400417688, 49743616734, 185320438006, 692673217903, 2596721440785, 9761212961994, 36784690629965, 138940976231430, 525918303654136, 1994637613858311, 7578926166859712, 28846663593991367, 109971293234561821, 419870252303286763, 1605325688219597732, 6145925314433550567, 23558867713766553985, 90413708492115390228, 347375421686049671367, 1336051622010117627803, 5143788865316981719561, 19822432663526460089890, 76458271313870619630230, 295166414614522725772103, 1140425444350935745380041, 4409690365449923031935746, 17063784798631395945896465], 15252075336337395324193628415535711454286980823254\ 2335018448355909761379520884513521092650467757162098367111690911632281166833513\ 7167317878833740934723432633921271384402850530504145899816362629260328453760837\ 0460962030903490402033500418896698196516446243886551237095968907556954712040906\ 9597068408479935229555857648940908498393302063893288888775799653746547470252661\ 8642264931494534278529036400012836094257039424944022704348700907480073077559002\ 8742352709958764234799412025555519429029731939301832811071890402949910293695962\ 248071120419556501079500459047645842496056224872653229775831055829162758] ---------------------------- (A,B)= , {2, 4, 5}, {2} [4*P^2*x^5+4*P^2*x^4-4*P*x^5-P^2*x^3-2*P*x^4+x^5-6*P^2*x^2+7*P*x^3+P^2*x+8*P*x^ 2-3*x^3+P^2-4*P*x-x^2-2*P+3*x+1, ((x^3-x^2-x)*C-x^3+x+1)/((2*x^3-x)*C-2*x^3-x^2 +1), {-3*n*(n-3)*a(n)+(19*n^2-105*n+80)*a(n-1)+(24*n^2-84*n+120)*a(n-2)+(-265*n ^2+2055*n-3800)*a(n-3)+(32*n^2-264*n+304)*a(n-4)+(928*n^2-9918*n+26216)*a(n-5)+ (-390*n^2+5796*n-20328)*a(n-6)+(-762*n^2+8646*n-24024)*a(n-7)+(22*n^2-2736*n+ 19088)*a(n-8)+(196*n^2-480*n-11128)*a(n-9)+(-24*n^2+984*n-7104)*a(n-10)+(112*n^ 2-2688*n+15968)*a(n-11)+96*(n-12)*(2*n-21)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3 ) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 17, a(8) = 36, a(9) = 85, a(10) = 224, a(11) = 647, a(12) = 2000}, [1, 1, 2, 3, 5, 9, 17, 36, 85, 224, 647, 2000, 6484, 21723, 74483, 259763, 917822, 3276851, 11799865, 42799749, 156210742, 573247625, 2113772902, 7827645554, 29098464539, 108545911859, 406184052471, 1524328356722, 5735563831043, 21633365928320, 81778976473344, 309782685041207, 1175727187627485, 4470258682147953, 17024873798278417, 64940223713226780, 248073368680160017, 948952946068108092, 3634732454711674572, 13938996586191566701, 53517101043194783999, 205697368456679919743, 791434864515537020686, 3048098573380616425499, 11750302183289638349580, 45337296155414542368372, 175077565790900388053591, 676638499166288583809521, 2617088442785095341033801, 10129798436181893217051428], 91559097619391724387088\ 3341822945179079698650523729472523985901266276355630406027315813821406751955024\ 9949060824366340798871450292865334908661280719075262949813607447210520948010201\ 7643816078029392075970452165530005539286138089384308592916921519232008204467221\ 1283783637363972202433651959081563100456320444974522121446878005927827019646114\ 0341761257501712057297460164333260172174566896555900846124265356458799464484889\ 9596692042744444919796494473946422263824239743660451384465946649783607423395692\ 5409486954419605729210478641826325891871067720440234127461917982351049070947385\ 0899880347573743076] ---------------------------- (A,B)= , {2, 4, 5}, {3} [P^2*x^5-2*P*x^6+x^7-4*P^2*x^4+4*P*x^5+2*P^2*x^3+6*P*x^4-4*x^5+8*P^2*x^2-13*P*x ^3+x^4-8*P^2*x-4*P*x^2+7*x^3+2*P^2+12*P*x-2*x^2-4*P-4*x+2, ((x^4-x^2+x)*C-x^4+2 *x^2-1)/((x^3-2*x^2+x)*C-x^3+2*x^2+x-1), {-12*n*(n-3)*a(n)+(176*n^2-840*n+640)* a(n-1)+(-1004*n^2+6444*n-8560)*a(n-2)+(2796*n^2-22308*n+40320)*a(n-3)+(-3780*n^ 2+36276*n-81600)*a(n-4)+(1602*n^2-19794*n+55440)*a(n-5)+(1486*n^2-14202*n+35480 )*a(n-6)+(-1838*n^2+23190*n-79000)*a(n-7)+(1032*n^2-19524*n+99600)*a(n-8)+(-752 *n^2+18564*n-112840)*a(n-9)+(114*n^2-3720*n+27600)*a(n-10)+(367*n^2-8559*n+ 49580)*a(n-11)+(-230*n^2+5670*n-34720)*a(n-12)+20*(2*n-23)*(n-14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 38, a(8) = 90, a(9) = 226, a(10) = 602, a(11) = 1696, a(12) = 5026, a(13) = 15556}, [1, 1, 2, 4, 8, 17, 38, 90, 226, 602, 1696, 5026, 15556, 49913, 164886, 557546, 1920776, 6717302, 23780796, 85044684, 306723424, 1114227730, 4072807076, 14967853140, 55270014542, 204952214100, 762879252204, 2849289514278, 10674718137436, 40104781197433, 151061020581070, 570341354674746, 2158062455020688, 8182188835174998, 31080551836119372, 118267574186339864, 450764920004532528, 1720666198954356318, 6577550298321257172, 25177665542847917676, 96497592994379052004, 370285040839213077212, 1422479579198641419536, 5470410637518115578468, 21058804841474966770696, 81145633477762221957418, 312963460148151257299236, 1208092143122016431587764, 4667310429820513387575712, 18045835906947210222205204], 15608627560961064630201\ 0011029165246705149371325655373330422334863797607380848138573432689444025962510\ 9501996818367577731543031578477856613393006118239298038075670706151663087736134\ 9159021349467093825147361341935869183792700665248598942366062674538270809185069\ 0655589850052614039672208393114854357140647392951812573322855360215045582654506\ 2129389728655134554840065509212894807230673792342592637379578598578480070158699\ 6883290854358869556672871421605804183021777618432744195016117847666710897754535\ 2824608379306817676481287933229502014378392271046263135849437222057509420443761\ 67972896295003958048] ---------------------------- (A,B)= , {2, 4, 5}, {4} [P^2*x^6-2*P^2*x^5+5*P^2*x^4-8*P^2*x^3-P*x^4+9*P^2*x^2+4*P*x^3-5*P^2*x-10*P*x^2 +x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^3-x^2)*C-x^3+x^2-2*x+1), {4*n* (n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(452*n^2-3314*n+4644)*a(n-2)+(-1692*n^2+ 14922*n-28524)*a(n-3)+(3862*n^2-39352*n+92592)*a(n-4)+(-5719*n^2+65269*n-178206 )*a(n-5)+(5783*n^2-71957*n+218646)*a(n-6)+(-4219*n^2+56023*n-183858)*a(n-7)+( 2346*n^2-32754*n+113916)*a(n-8)+(-1033*n^2+15079*n-54906)*a(n-9)+(338*n^2-5336* n+20952)*a(n-10)+(-57*n^2+1023*n-4578)*a(n-11)+2*(n-10)*(2*n-21)*a(n-12) = 0, a (1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 38, a(8) = 89, a(9) = 219, a(10) = 567, a(11) = 1544, a(12) = 4412}, [1, 1, 2, 4, 8, 17, 38, 89, 219, 567, 1544, 4412, 13175, 40895, 131187, 432527, 1458529, 5009761, 17469380, 61680972, 220057420, 791993908, 2871753329, 10480068162, 38460237997, 141839334507, 525382803249, 1953652695248, 7290224263389, 27290499622454, 102455358790677, 385658305170166, 1455196046735031, 5503114871839705, 20854076863065012, 79177883573982942, 301154590971969940, 1147349907439867799, 4378005978574823154, 16729718569582741970, 64016865421544748520, 245278093895870010409, 940913807360149602413, 3613586556042047775593, 13893057411465211566526, 53469150646260879508642, 205983329173927766868693, 794260845290712153275047, 3065328560898692481830317, 11840106459381307215693675 ], 9836262427798581485208248513645535651090233283953527118382649427471048321522\ 9783029277039152285217110351167772586425837109808613405417187796578811358708594\ 4065003795103782584414774238989997396275886698420281171912534556912019322213449\ 5817764251750282809909302817315418383292438441360246162080019460275414877885638\ 1288200511301380578081487619380350298470034470133092951334257053969379834231052\ 6583751713013810779920577412975648994430972326474201906418514684682709487097006\ 7483379155120451465971429067626703098228231099361418437094304521062705798679732\ 267866315956164851414446514628645098251804839] ---------------------------- (A,B)= , {2, 4, 5}, {5} [P^2*x^7+2*P^2*x^6-2*P*x^7-P^2*x^5-2*P*x^6+x^7-4*P^2*x^4+5*P*x^5+6*P*x^4-3*x^5+ 7*P^2*x^2-8*P*x^3-5*P^2*x-6*P*x^2+5*x^3+P^2+8*P*x-2*P-3*x+1, ((x^4-x^2)*C-x^2-x +1)/((x^4+x^3-x^2)*C-2*x+1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-558*n ^2+4680*n-6828)*a(n-2)+(1929*n^2-19239*n+38580)*a(n-3)+(-3494*n^2+40252*n-99732 )*a(n-4)+(2554*n^2-33314*n+93744)*a(n-5)+(1231*n^2-18383*n+74136)*a(n-6)+(-2742 *n^2+46608*n-195228)*a(n-7)+(-4*n^2-4804*n+38352)*a(n-8)+(1502*n^2-26608*n+ 119004)*a(n-9)+(-72*n^2+5388*n-48000)*a(n-10)+(-437*n^2+6361*n-15528)*a(n-11)+( -46*n^2+326*n+1848)*a(n-12)+(10*n^2+514*n-8472)*a(n-13)+(-20*n^2+688*n-5664)*a( n-14)+6*(7*n-103)*(n-16)*a(n-15)+12*(n-16)*(2*n-29)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a(8) = 83, a(9) = 192, a(10) = 459, a(11) = 1138, a(12) = 2936, a(13) = 7903, a(14) = 22218, a(15) = 65175, a(16) = 198917}, [1, 1, 2, 4, 8, 17, 37, 83, 192, 459, 1138, 2936, 7903, 22218, 65175, 198917, 628959, 2050153, 6855128, 23407513, 81308699, 286415136, 1020573407, 3671355698, 13312909731, 48602478278, 178470974146, 658671943652, 2441717945560, 9087149807600, 33937859020234, 127149240402589, 477734739086633, 1799671466679912, 6795752854498261, 25717969310894055, 97525337941110410, 370523153672322732, 1410174597352181001, 5375745505630004669, 20524218985491716861, 78472061035063120081, 300432029499383256603, 1151664168013067587651, 4420003754398851129803, 16982747435696406651124, 65321405484883956189121, 251501845646945413997161, 969265212111199370796234, 3738860493752034608391477], 295146147774975477640392951356524746446947972697008\ 3074630184477731694057297764345757973397449882066714252681540276808436710775848\ 1917916605551136738158243188384376062361233766707157571496138708634276213925775\ 3805267632829498853735055825428360643764350294107292265019688390502578124198584\ 3948135208971697006072637620321844723184565717547223209131568370558258188349076\ 1980731198735453196402429650793760053944877607127465507449246194580771462254627\ 7980341556628471643202543213977236763570929809315114610631162925500288446039119\ 9336826957034635425983612470212640942872162556681110256660968629816433] ---------------------------- (A,B)= , {2, 4, 5}, {1, 2} [P^2*x^7+4*P^2*x^6+3*P^2*x^5-P^2*x^4+2*P*x^5-3*P^2*x^3+6*P*x^4-3*P^2*x^2+5*P*x^ 3+P^2*x+2*P*x^2+x^3+P^2-4*P*x+2*x^2-2*P+3*x+1, ((-x^2-x)*C+x^2+x+1)/((x^4+x^3-x )*C-x^4-2*x^3+1), {3*n*(n-3)*a(n)+(-19*n^2+105*n-80)*a(n-1)+(-12*n^2+30*n-60)*a (n-2)+(166*n^2-1380*n+2660)*a(n-3)+(80*n^2-750*n+1948)*a(n-4)+(-348*n^2+3858*n-\ 10308)*a(n-5)-3*(n-4)*(107*n-599)*a(n-6)+(72*n^2-2070*n+10620)*a(n-7)+(442*n^2-\ 5178*n+15728)*a(n-8)+(265*n^2-1737*n-1468)*a(n-9)+(-164*n^2+3468*n-17560)*a(n-\ 10)+(-154*n^2+2586*n-11024)*a(n-11)+(76*n^2-1764*n+10064)*a(n-12)+(106*n^2-2346 *n+12968)*a(n-13)+12*(n-12)*(2*n-21)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 4, a(6) = 7, a(7) = 13, a(8) = 26, a(9) = 62, a(10) = 168, a( 11) = 498, a(12) = 1577, a(13) = 5208, a(14) = 17678}, [1, 1, 2, 3, 4, 7, 13, 26, 62, 168, 498, 1577, 5208, 17678, 61183, 214836, 762964, 2734781, 9879204, 35927068, 131415723, 483167155, 1784532577, 6617923845, 24632825293, 91992440123, 344592862093, 1294387323250, 4874472741145, 18399658623323, 69603938802573, 263834413192377, 1001939542619579, 3811616113702370, 14523954477605181, 55427326857959085, 211829136217415511, 810649605833279603, 3106222791852972825, 11916618879587280492, 45768442359712634318, 175972874376886418582, 677279211173614639125, 2609215304257152456489, 10061242588979954472591, 38830565718204337194326, 149988657366316852819229, 579814604879101765500030, 2243109425408847029922397, 8684161770383644464393172] , 79196483992992136911552641382978933807261603219767430717931020955368017580250\ 5800986237466761711030611079071166553727076591877123005364269444009168728390760\ 1652367956116208522842108128698014457759828775510675656995063820160440768026754\ 2509356008020528638911227673553536065125188739576272678524082327149038057710291\ 6985491139347132475423107925676525447472764953826099410000001990107649576896107\ 6504071121989410167397007758982559871860711708792820761027949928042607983918936\ 1751534244017489749871281720664399353869624642276821831317824719228601597773111\ 64536101179727890938303545118058910093553585] ---------------------------- (A,B)= , {2, 4, 5}, {1, 3} [P^2*x^9-4*P^2*x^8+6*P^2*x^7-5*P^2*x^6-2*P*x^7+6*P*x^6+10*P^2*x^4-6*P*x^5-14*P^ 2*x^3+x^5+13*P^2*x^2+9*P*x^3-2*x^4-8*P^2*x-14*P*x^2+x^3+2*P^2+12*P*x+3*x^2-4*P-\ 4*x+2, ((x^3-x^2+x)*C-x^3+x^2-1)/((x^5-2*x^4+2*x^3-2*x^2+x)*C-x^5+2*x^4-x^3+x^2 +x-1), {-12*n*(n-3)*a(n)+(176*n^2-840*n+640)*a(n-1)+(-1044*n^2+6624*n-8760)*a(n -2)+(3352*n^2-25836*n+45920)*a(n-3)+(-6741*n^2+59841*n-128748)*a(n-4)+(9348*n^2 -92484*n+227208)*a(n-5)+(-9319*n^2+103317*n-288368)*a(n-6)+(6460*n^2-88872*n+ 312464)*a(n-7)+(-2914*n^2+69798*n-367424)*a(n-8)+(1118*n^2-68850*n+495808)*a(n-\ 9)+(-1179*n^2+79077*n-611472)*a(n-10)+(1509*n^2-74049*n+570276)*a(n-11)+(-759*n ^2+38487*n-316116)*a(n-12)+(-801*n^2+11691*n-30792)*a(n-13)+(1848*n^2-43548*n+ 255720)*a(n-14)+(-1799*n^2+45075*n-280828)*a(n-15)+(1078*n^2-28206*n+183008)*a( n-16)+(-374*n^2+10230*n-69160)*a(n-17)+28*(2*n-25)*(n-16)*a(n-18) = 0, a(1) = 1 , a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 27, a(8) = 61, a(9) = 149, a(10) = 395, a(11) = 1127, a(12) = 3412, a(13) = 10814, a(14) = 35484, a (15) = 119524, a(16) = 410743, a(17) = 1433734, a(18) = 5067439}, [1, 1, 2, 4, 7, 13, 27, 61, 149, 395, 1127, 3412, 10814, 35484, 119524, 410743, 1433734, 5067439, 18094344, 65162809, 236376078, 862822463, 3166718295, 11678535001, 43254177087, 160818470413, 599996797680, 2245574977671, 8428520833046, 31718711384598, 119654278299965, 452385293373746, 1713896054067486, 6505673408466932, 24738567125668676, 94227972065286276, 359469214555124734, 1373339887269236739, 5254006404206902476, 20126327622873801986, 77191235161620465528, 296395596511983743323, 1139328518119211005970, 4384044253039245451316, 16886000760768630361393, 65100372743558031025461, 251203313260357574656946, 970139715002824370893936, 3749672310070934230618736, 14503963098290361712023099], 12751491549182981620247490358468015546362546798061\ 0678964111735462535593737633283623161834688154596930142140170705632641175377810\ 7593985444594001016369769966460841899824133852290405006845683076257875617743117\ 3337683073749923879610352879885101538089904467096256363766717601813281815575887\ 3430124822670633073087529060420616117225456021107596105918434828594900411102425\ 5189422303402130164596114208478500999652247758257934287225946018642800656377577\ 9345358130407429829144402127487696511205703658623507956643803023040266506000127\ 781537000302555302964502363239682592562293273736089279156520458044549402] ---------------------------- (A,B)= , {2, 4, 5}, {1, 4} [4*P^2*x^6-9*P^2*x^5+14*P^2*x^4+4*P*x^5-15*P^2*x^3-9*P*x^4+11*P^2*x^2+14*P*x^3+ x^4-5*P^2*x-14*P*x^2-2*x^3+P^2+8*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/((x^3-x^ 2)*C-2*x^3+2*x^2-2*x+1), {4*n*(n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1)+(464*n^2-\ 3386*n+4740)*a(n-2)+(-1873*n^2+16339*n-31134)*a(n-3)+(4971*n^2-49857*n+116706)* a(n-4)+(-9382*n^2+105310*n-286152)*a(n-5)+(13194*n^2-162510*n+494376)*a(n-6)+(-\ 14171*n^2+188693*n-626646)*a(n-7)+(11682*n^2-166362*n+592200)*a(n-8)+(-7212*n^2 +109302*n-412284)*a(n-9)+(3071*n^2-49373*n+195486)*a(n-10)-2*(346*n-2241)*(n-10 )*a(n-11)-48*(n-11)*(n-19)*a(n-12)+32*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 1, a( 2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 27, a(8) = 60, a(9) = 142, a(10) = 362, a(11) = 991, a(12) = 2883, a(13) = 8818}, [1, 1, 2, 4, 7, 13, 27, 60, 142, 362, 991, 2883, 8818, 28074, 92229, 310496, 1065614, 3713743, 13105029, 46723848, 168034688, 608787477, 2219743062, 8138792990, 29988332727, 110979745817, 412322073251, 1537317202613, 5750177048367, 21570796894454, 81135503407511, 305929496679479, 1156150938935319, 4378416167068854, 16613588875491714, 63153190052534947, 240469490326737690, 917086138725158852, 3502699090460429053, 13396739750609425257, 51305450715116762981, 196726813710986590731, 755213179755570113285, 2902379671164436585960, 11165866177834211082817, 42999257499813503697387, 165744219526222620003253, 639447432972417149701164, 2469118169995614870679944, 9541843906170534181627526] , 80722341301325248076690614752839814120418562209818965682560074583494275138293\ 1867501967005295385467483662114169876523979968162413880214408589817830085372316\ 4347579110452989473136451639738302423196186189670881169461112677525829683486652\ 5879040426204560829713527838543201688826160148310895750678659866372002452559980\ 5146547539196831896129997357931190789320695272944073881026158282690660955918063\ 0834055153217471325122840638413841368177496766429892586301440420651787522537958\ 4680894592028378659528268696393867984893441600304503908733546981328209775344007\ 94821636409065980487913891677497697494961187] ---------------------------- (A,B)= , {2, 4, 5}, {1, 5} [P^2*x^9+P^2*x^7-4*P^2*x^5+2*P*x^6+6*P^2*x^4+P*x^5-8*P^2*x^3-2*P*x^4+9*P^2*x^2+ 4*P*x^3-5*P^2*x-10*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x^3- x^2)*C-x^3+x^2-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(574*n^2-4796 *n+6996)*a(n-2)+(-2179*n^2+21497*n-43068)*a(n-3)+(5072*n^2-57106*n+141396)*a(n-\ 4)+(-7753*n^2+96785*n-278496)*a(n-5)+(8371*n^2-112667*n+359952)*a(n-6)+(-6969*n ^2+99579*n-343800)*a(n-7)+(4544*n^2-70690*n+269040)*a(n-8)+(-1902*n^2+35226*n-\ 160332)*a(n-9)+(188*n^2-8212*n+58824)*a(n-10)+(328*n^2-1850*n-10308)*a(n-11)+(-\ 424*n^2+4748*n-7824)*a(n-12)+(n-5)*(311*n-3072)*a(n-13)+(-100*n^2+1922*n-9192)* a(n-14)+(34*n^2-782*n+4536)*a(n-15)-2*(n-12)*(5*n-64)*a(n-16)+4*(2*n-27)*(n-14) *a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 26, a(8) = 54, a(9) = 117, a(10) = 268, a(11) = 652, a(12) = 1687, a(13) = 4637, a(14) = 13475, a(15) = 41093, a(16) = 130425, a(17) = 427478}, [1, 1, 2, 4, 7, 13, 26, 54, 117, 268, 652, 1687, 4637, 13475, 41093, 130425, 427478, 1437250, 4930635, 17188722, 60702410, 216656984, 780139086, 2830162191, 10333050996, 37936537992, 139959962992, 518591894793, 1928960221705, 7199930041184, 26958629325212, 101229986394324, 381115098838947, 1438288570623603, 5439980487154131, 20617598271712315, 78289622408997766, 297809477755926494, 1134722545127728324, 4330234705847194541, 16548625080116975740, 63329072322356846937, 242661264615545751831, 930941287946991238195, 3575523769770534285297, 13747571470749398501446, 52912312978438561734864, 203849355708671931277012, 786072975934629695643072, 3033876758080496367094145], 244153439028429778449933789759391122120320761084518\ 3785451252491505288168821379309342621500393722109215653535428137967634384601344\ 2573054800472842826038477876689693149107544713867436641578033355031227909350899\ 7882473910052827951342318869219365193176281429811620176947405393489014178661661\ 1578558456083401225311636087579545896875584618886961880804141236464853752201709\ 1136599723124124433366592097031247185011344933621380865497004866876154372758104\ 9576933266099106761839316866254518274430815143049539954571302992346910339606701\ 5295505043509949297538828998825934726565997151798350717513968341658260] ---------------------------- (A,B)= , {2, 4, 5}, {2, 3} [P^2*x^7-2*P^2*x^6-2*P*x^7-3*P^2*x^5+4*P*x^6+x^7+5*P^2*x^4+4*P*x^5-2*x^6+6*P^2* x^3-10*P*x^4-x^5-5*P^2*x^2-5*P*x^3+5*x^4-3*P^2*x+12*P*x^2+2*P^2+2*P*x-5*x^2-4*P +x+2, ((x^4-x^3+x)*C-x^4+x^3+x^2-x-1)/((x^4-x^3-x^2+x)*C-x^4+x^3+2*x^2-1), {-6* n*(n-3)*a(n)+(63*n^2-315*n+240)*a(n-1)+(-190*n^2+1323*n-1760)*a(n-2)+(13*n^2-\ 366*n+620)*a(n-3)+(641*n^2-5649*n+12580)*a(n-4)+(-463*n^2+5454*n-15800)*a(n-5)+ (-687*n^2+6195*n-12372)*a(n-6)+(583*n^2-7218*n+21764)*a(n-7)+(139*n^2+1950*n-\ 24424)*a(n-8)+(-n^2-3774*n+35164)*a(n-9)+(263*n^2-6966*n+42208)*a(n-10)+(-432*n ^2+12246*n-82512)*a(n-11)+(-196*n^2+4005*n-19592)*a(n-12)+(336*n^2-8802*n+57528 )*a(n-13)+(26*n^2-450*n+1288)*a(n-14)-3*(37*n-448)*(n-15)*a(n-15)+14*(2*n-25)*( n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 17, a(8) = 36, a(9) = 84, a(10) = 218, a(11) = 618, a(12) = 1877, a(13) = 5994, a(14) = 19836, a(15) = 67349, a(16) = 233048}, [1, 1, 2, 3, 5, 9, 17, 36, 84, 218, 618, 1877, 5994, 19836, 67349, 233048, 818226, 2906101, 10419432, 37653800, 136994810, 501349229, 1844193337, 6814730494, 25284624963, 94157028715, 351792429234, 1318341730006, 4954099834731, 18663730324968, 70476227071967, 266698691826427, 1011265499693396, 3841623818391478, 14618921377732143, 55720831843470306, 212704773610898571, 813118796248544417, 3112513428760339808, 11929314299385869017, 45775818217751386412, 175851075723263674485, 676264141076265401425, 2603312218211668115825, 10031195128592660125950, 38687904866745059846351, 149339575491469202027345, 576944678647486434616919, 2230676488247341999504593, 8631114268955608050728472] , 76881300249741243893166163410305280730580297208231853895597043987038523314695\ 6366768044087426002860992856491660137538127660592202138227087335705111499299074\ 5424555984469275734716031172227565078980902367630757093279020749499935971097660\ 6748833458170371943676785044267659558558794613914716275012383321088896624686380\ 4073316694966062629263126758644423993007541053999664785673612189687701566019939\ 4091318514380143749636681697435340741103229585659377090438161793029781257539510\ 4979133509589391760426607745146369651100344420830033406638808724727484414154281\ 32209544978914987386373516846802171368227051] ---------------------------- (A,B)= , {2, 4, 5}, {2, 4} [P^2*x^6+P^2*x^4-2*P^2*x^3+P*x^4+3*P^2*x^2-3*P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+ 1, (-C*x^2+1)/((x^3-x^2)*C-x^3-x+1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1) +(-258*n^2+1932*n-2688)*a(n-2)+(636*n^2-5658*n+10644)*a(n-3)+(-892*n^2+8986*n-\ 20484)*a(n-4)+(801*n^2-8739*n+22266)*a(n-5)+(-503*n^2+5753*n-15438)*a(n-6)+(235 *n^2-2623*n+6810)*a(n-7)+(-152*n^2+1412*n-2568)*a(n-8)+(121*n^2-1327*n+3090)*a( n-9)+(-36*n^2+498*n-1620)*a(n-10)-(n-10)*(n-9)*a(n-11)+2*(n-10)*(2*n-21)*a(n-12 ) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 17, a (8) = 35, a(9) = 79, a(10) = 196, a(11) = 531, a(12) = 1548}, [1, 1, 2, 3, 5, 9 , 17, 35, 79, 196, 531, 1548, 4777, 15380, 51091, 173729, 601378, 2111101, 7495199, 26860786, 97024164, 352840492, 1290712679, 4745956192, 17531012580, 65023160264, 242063182233, 904142908033, 3387367919993, 12725978685342, 47931876989452, 180956815600023, 684645293850531, 2595541283788421, 9858268858196575, 37508426555867068, 142943043366796536, 545580020462036220, 2085328912395136846, 7981314289600540723, 30586113246175744452, 117352770572119723955, 450768191388277787973, 1733316966360738904405, 6671807466179544024728, 25705592389009148806257, 99131064308480282580212, 382622840158924982403661, 1478064056264781268358200, 5714264721656407608567099] , 49136593606754379418754699423299094891536857081556699768960743778831136221206\ 0707471248098146334090709125878708523868049252156282201321990739941278146690387\ 0800328316671383843624998497124506403280320328531891535885639845276191249267814\ 6207611637821665564559023405409140671006649648972090696449218026822516559568176\ 3256038351750222561827379792748944952125522003930862049390662725077118672871192\ 8304720761495034055836915515122531672386371185178387950896224190663355154229295\ 5459400520346728478967148369699478266948877016085659769779875172238142532969466\ 28823751581265282210689968694665748250350153] ---------------------------- (A,B)= , {2, 4, 5}, {2, 5} [4*P^2*x^7-4*P*x^7-6*P^2*x^5+4*P*x^6+x^7-P^2*x^4+9*P*x^5-2*x^6+6*P^2*x^3-4*P*x^ 4-2*x^5-10*P*x^3+4*x^4-3*P^2*x+4*P*x^2+3*x^3+P^2+4*P*x-3*x^2-2*P-x+1, ((x^4-x^3 -x^2)*C-x^2+1)/((2*x^4-x^2)*C-x^2-x+1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n -1)+(-300*n^2+2580*n-3720)*a(n-2)+(502*n^2-5228*n+10176)*a(n-3)+(259*n^2-2513*n +7512)*a(n-4)+(-1700*n^2+21868*n-67488)*a(n-5)+(823*n^2-13709*n+51828)*a(n-6)+( 2227*n^2-31925*n+115164)*a(n-7)+(-1772*n^2+32458*n-146160)*a(n-8)+(-1794*n^2+ 24162*n-73416)*a(n-9)+(1635*n^2-28353*n+119820)*a(n-10)+(838*n^2-11744*n+31104) *a(n-11)+(-700*n^2+10952*n-32016)*a(n-12)+(-20*n^2-764*n+12240)*a(n-13)+(-80*n^ 2+3640*n-35040)*a(n-14)+(-176*n^2+4912*n-34176)*a(n-15)+96*(n-16)*(2*n-29)*a(n-\ 16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 16, a(8) = 31, a(9) = 63, a(10) = 138, a(11) = 328, a(12) = 845, a(13) = 2349, a(14 ) = 6961, a(15) = 21707, a(16) = 70384}, [1, 1, 2, 3, 5, 9, 16, 31, 63, 138, 328, 845, 2349, 6961, 21707, 70384, 235039, 802630, 2788579, 9821173, 34972083, 125668481, 455046018, 1658556747, 6079611146, 22397024413, 82875771989, 307881157254, 1147849216638, 4293251672521, 16105038166970, 60576189617838, 228408157796902, 863191040023639, 3268991222588337, 12404126244829009, 47152560822385948, 179547019842813191, 684758265175967448, 2615407913692488843, 10003351671059154091, 38310690227868886608, 146902851405326999688, 563957654238091525657, 2167411804150879892098, 8338537113490689728348, 32112089367799188529086, 123781588546382547101331, 477564937131956808094213, 1844077791314846647278347], 151163923474336836272066098519368515033783446357684\ 6873908178878845206318247794199459123196948139875543119044924667742746796726087\ 7316860974498101599264030213993217608830266921331612264180976302279226506215818\ 0804807046967784474665971112857488129968483666563625629947605442518901081213709\ 2202394790189406669104075812179541156673999913106597454388752614739857168419223\ 1604403469280400498228321337470490123607412813120689924547284892097367948968273\ 7639254670719245166237848550058883144044338598360478345611248951892124048675518\ 4648215915515843389555756359177728707031301058864341679018649850705265] ---------------------------- (A,B)= , {2, 4, 5}, {3, 4} [P^2*x^6-2*P*x^7+x^8-2*P*x^6+2*x^7-4*P^2*x^4+6*P*x^5-x^6+4*P^2*x^3+P*x^4-3*x^5+ 3*P^2*x^2-10*P*x^3+3*x^4-4*P^2*x+4*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, ((x^4+x^3)*C- x^4-x^3+x^2+x-1)/(C*x^3-x^3+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+ (-334*n^2+2494*n-3492)*a(n-2)+(876*n^2-7986*n+15288)*a(n-3)+(-864*n^2+9540*n-\ 22536)*a(n-4)+(-607*n^2+6115*n-17478)*a(n-5)+(1918*n^2-24322*n+78348)*a(n-6)+(-\ 912*n^2+13482*n-51168)*a(n-7)+(-632*n^2+8264*n-24480)*a(n-8)+(682*n^2-11134*n+ 46596)*a(n-9)+(-340*n^2+9160*n-61152)*a(n-10)+(144*n^2-4824*n+36672)*a(n-11)+16 *(11*n-152)*(n-15)*a(n-12)-3*(n-14)*(65*n-939)*a(n-13)+2*(n-10)*(n-9)*a(n-14)+ 20*(2*n-27)*(n-16)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 38, a(8) = 89, a(9) = 218, a(10) = 559, a(11) = 1502, a(12 ) = 4227, a(13) = 12430, a(14) = 38040, a(15) = 120548}, [1, 1, 2, 4, 8, 17, 38 , 89, 218, 559, 1502, 4227, 12430, 38040, 120548, 393487, 1316374, 4493676, 15595836, 54867573, 195210698, 701082736, 2537934228, 9249885718, 33910776620, 124957442805, 462536988342, 1718990592259, 6411530952366, 23991530366273, 90039156487858, 338820466885384, 1278129815184352, 4832390581654025, 18308622610612878, 69500725813154201, 264304018075459818, 1006806276691898983, 3841210552065597598, 14676663313463118212, 56154502326439764008, 215131705862683495099, 825191064194755847498, 3168876348592350222918, 12182309219364584936036, 46881612326677434681602, 180593055920603610611852, 696312002718515867715731, 2687146559211803177285646, 10378753432044616125305193 ], 8608404471461566146180946003943969996536920448937511501535181855648073702172\ 2663493667704379025490502467036908031494150460368764918116426530885251942194241\ 9532255779457580208023029447952662260709902886734909942668814502532777850566637\ 5804889291789041012690267105838439043097865783924163008348327413375701221083844\ 9698836230422891988283408890216468657215856803628692834033734852427882646815060\ 3745353160798540561331859267740137827204150538526914906690075849941441171999999\ 4053324889278941228022469558161791547505242932435937190719088347119406199736232\ 713845105500408732307296727475378141059007492] ---------------------------- (A,B)= , {2, 4, 5}, {3, 5} [P^2*x^7-2*P*x^8+x^9-4*P^2*x^6+4*P*x^7+6*P^2*x^5-2*x^7-2*P^2*x^4-9*P*x^5+3*x^6-\ 4*P^2*x^3+8*P*x^4+2*x^5+8*P^2*x^2-2*P*x^3-3*x^4-5*P^2*x-8*P*x^2+3*x^3+P^2+8*P*x +x^2-2*P-3*x+1, ((x^5-x^3+x^2)*C+x^2+x-1)/((x^4-2*x^3+x^2)*C+2*x-1), {-5*n*(n-5 )*a(n)+(83*n^2-559*n+456)*a(n-1)+(-566*n^2+4738*n-6912)*a(n-2)+(2054*n^2-20368* n+40824)*a(n-3)+(-4262*n^2+48520*n-120264)*a(n-4)+(4848*n^2-62136*n+179160)*a(n -5)+(-1831*n^2+27413*n-86748)*a(n-6)+(-2830*n^2+37910*n-136476)*a(n-7)+(5137*n^ 2-75899*n+288432)*a(n-8)+(-3813*n^2+61317*n-258960)*a(n-9)+(1306*n^2-26792*n+ 158952)*a(n-10)+(-56*n^2+8848*n-109272)*a(n-11)+(-202*n^2-1054*n+50304)*a(n-12) +(431*n^2-10405*n+61620)*a(n-13)+(-664*n^2+20066*n-151608)*a(n-14)+(551*n^2-\ 17515*n+138864)*a(n-15)+(-230*n^2+7510*n-61080)*a(n-16)+20*(2*n-31)*(n-18)*a(n-\ 17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37 , a(8) = 83, a(9) = 191, a(10) = 453, a(11) = 1111, a(12) = 2831, a(13) = 7523, a(14) = 20896, a(15) = 60667, a(16) = 183672, a(17) = 577445}, [1, 1, 2, 4, 8, 17, 37, 83, 191, 453, 1111, 2831, 7523, 20896, 60667, 183672, 577445, 1875396, 6258227, 21351590, 74163193, 261353966, 931905622, 3355065811, 12176137491, 44488780782, 163492322876, 603828432289, 2239906463853, 8341187394021, 31169346835102, 116836695863865, 439193327975291, 1655193169467507, 6252655590371236, 23671274563938941, 89794239494535533, 341257092007402905, 1299166861528703864, 4953906766647714179, 18918429064743307722, 72349538212223071266, 277052986788808687123, 1062264253784897079036, 4077689727076591726571, 15670378556776557306931, 60284079127844143635610, 232145246315840161600802, 894806248329026052463706, 3452152330002226581026051], 2740085060394176068679740155896498544163745978198939792844199836666296064297517\ 4531226102212621757995416634613610693490447038791157348028413501941899634757980\ 1202762972169109302436772829775559323512280088856555795879439080378721221018521\ 9049308183533599751486729041514683796207056791690781605213516900347433525768738\ 0898916471902432766862002028212628695899092641604076719956929114917138837774701\ 0287301322799410113174106539202502132812759559718492865699204435397676251298480\ 4245413948973220127358480743257005359935546878743939240899079694605221561413918\ 478645889155910848225305411832359506599680] ---------------------------- (A,B)= , {2, 4, 5}, {4, 5} [P^2*x^7-2*P^2*x^6+P^2*x^5+2*P*x^6-2*P^2*x^4-P*x^5+3*P^2*x^3+x^5+3*P^2*x^2-8*P* x^3+2*x^4-4*P^2*x+3*x^3+P^2+6*P*x-2*x^2-2*P-2*x+1, (-C*x^3-x^2-x+1)/((x^4-x^3)* C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(421*n^2-3569*n+5184)*a(n-\ 2)+(-1115*n^2+11263*n-22392)*a(n-3)+(1158*n^2-13578*n+32568)*a(n-4)+(507*n^2-\ 6387*n+22848)*a(n-5)+(-1924*n^2+27356*n-96264)*a(n-6)+(981*n^2-13191*n+44160)*a (n-7)+(-2*n^2-4898*n+38112)*a(n-8)+(176*n^2+1070*n-21168)*a(n-9)+(114*n^2-3228* n+19416)*a(n-10)+(-364*n^2+6332*n-26376)*a(n-11)+(142*n^2-2468*n+10080)*a(n-12) +12*(n-14)*(n-13)*a(n-13)-6*(3*n-40)*(n-14)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a(8) = 82, a(9) = 186, a(10) = 433, a(11) = 1039, a(12) = 2584, a(13) = 6696, a(14) = 18152, a(15) = 51565}, [1, 1, 2, 4, 8, 17, 37, 82, 186, 433, 1039, 2584, 6696 , 18152, 51565, 153321, 475372, 1528579, 5066923, 17214964, 59650596, 209951256 , 748255824, 2693801231, 9778538369, 35741717652, 131404765448, 485540455923, 1801931823941, 6713140022548, 25096020740803, 94107601539230, 353881865788074, 1334128572430110, 5041385329040913, 19091240034160216, 72440189502950680, 275374441260657334, 1048601905059228392, 3999363240114171955, 15276347197461724764, 58432741527944795014, 223802257631502772857, 858244060404985713000, 3295071776395243025800, 12664814454181595735231, 48728954002853464886817, 187674862230624683741822, 723492694022599465851144, 2791586689978106527704504], 222705779438249737673701572417232675349189793669519\ 2173918805269465663684937761130425722730781354863524982342802064689523371944865\ 4461036443637860172644764087893832837097295487301664134259231507810413946184729\ 7109758628851015616355600430898162626614225224245652386931064230939792259021415\ 4289401425762178161112425381960981572809338643454465599336754201352027062709106\ 3537392690857500882419258857277606983325688156744641525226554397960111766017261\ 4054021028006406020814944171003908167892441430054214187670823833375244603975118\ 2964836099577340864913123501639846028049367511358761681487012275236141] ---------------------------- (A,B)= , {2, 4, 5}, {1, 2, 3} [P^2*x^9-2*P^2*x^8-P^2*x^7+P^2*x^6+2*P^2*x^5+5*P^2*x^4-2*P*x^5-4*P^2*x^3+5*P*x^ 3-3*P^2*x+2*P*x^2+2*P^2+2*P*x-4*P+x+2, (C*x-x-1)/((x^5-x^4-x^2+x)*C-x^5+x^4+x^3 +x^2-1), {-12*n*(n-3)*a(n)+(126*n^2-630*n+480)*a(n-1)+(-420*n^2+2826*n-3720)*a( n-2)+(471*n^2-3627*n+5940)*a(n-3)+(-298*n^2+1662*n-1520)*a(n-4)+(761*n^2-5313*n +7840)*a(n-5)+(-757*n^2+7233*n-17276)*a(n-6)+(-34*n^2-804*n+7912)*a(n-7)+(-176* n^2+2460*n-11452)*a(n-8)+(249*n^2-4149*n+16572)*a(n-9)+(179*n^2+645*n-12776)*a( n-10)+(-94*n^2-660*n+10084)*a(n-11)+(4*n^2-240*n+2240)*a(n-12)+(13*n^2-339*n+ 2192)*a(n-13)+(26*n^2-390*n+1312)*a(n-14)+(-62*n^2+1362*n-7456)*a(n-15)+12*(n-\ 12)*(2*n-21)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 4, a(6 ) = 7, a(7) = 13, a(8) = 26, a(9) = 61, a(10) = 162, a(11) = 471, a(12) = 1466, a(13) = 4775, a(14) = 16035, a(15) = 55030, a(16) = 191934}, [1, 1, 2, 3, 4, 7, 13, 26, 61, 162, 471, 1466, 4775, 16035, 55030, 191934, 677911, 2418918, 8704793, 31552582, 115086937, 422079331, 1555478879, 5757160070, 21391201359, 79759412420, 298338197223, 1119167097149, 4209540118694, 15872137071421, 59981237772523, 227144452146357, 861848266523100, 3275996892940379, 12473490303794249, 47568260758645431, 181672280417735921, 694805767570008871, 2660762890935577239, 10201984027488708076, 39162390306215988791, 150498653622887983504, 578961704841416118449, 2229449900825175474068, 8593198404097815194088, 33151360306477425635591, 128002610105050523884692, 494640988776289092877715, 1912930514777626021322607, 7403399422333313295804688] , 66570255273775840756970799754716687751352901364738480227465358618749698094955\ 0217364084337576345683904234264111530062257031157766038006322096834869449142429\ 4288307799278277068151228323570955306988780614045422901560099369649934091305988\ 0945831753608920970151768929164991801244354420678718584718976420916621831759290\ 3105267566962870312398748322296208046619024839595078864829415861902466844645087\ 4222646356707294787124126888451724973739617693324650832651630872677950598744031\ 4319638118813493715866941337855236802116532891222496402266634413541017778603239\ 11784295015410086931671725864843975770990281] ---------------------------- (A,B)= , {2, 4, 5}, {1, 2, 4} [4*P^2*x^6-5*P^2*x^5+6*P^2*x^4+4*P*x^5-7*P^2*x^3-3*P*x^4+5*P^2*x^2+6*P*x^3+x^4-\ 3*P^2*x-6*P*x^2+P^2+4*P*x+2*x^2-2*P-x+1, (-C*x^2+x^2+1)/((x^3-x^2)*C-2*x^3+x^2- x+1), {4*n*(n-4)*a(n)+(-52*n^2+304*n-240)*a(n-1)+(270*n^2-2004*n+2784)*a(n-2)+( -787*n^2+6853*n-12858)*a(n-3)+(1611*n^2-15849*n+36282)*a(n-4)+(-2538*n^2+27558* n-72432)*a(n-5)+(3148*n^2-37072*n+107892)*a(n-6)+(-3223*n^2+40177*n-124686)*a(n -7)+(2728*n^2-35596*n+114900)*a(n-8)+(-1784*n^2+24734*n-83196)*a(n-9)+(853*n^2-\ 12535*n+43530)*a(n-10)-2*(98*n-435)*(n-10)*a(n-11)+(-80*n^2+1904*n-11280)*a(n-\ 12)+32*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5 ) = 4, a(6) = 7, a(7) = 13, a(8) = 25, a(9) = 56, a(10) = 142, a(11) = 394, a( 12) = 1180, a(13) = 3731}, [1, 1, 2, 3, 4, 7, 13, 25, 56, 142, 394, 1180, 3731, 12241, 41246, 141758, 494681, 1747364, 6234238, 22430224, 81284420, 296408785, 1086807191, 4004232168, 14817150112, 55042455347, 205189867396, 767359997694, 2878103022259, 10823598641337, 40803958340637, 154175773416471, 583768093171279 , 2214674820739806, 8417182743444451, 32044857574699196, 122190502103794306, 466617716501992880, 1784393889429979454, 6832670164399903221, 26195575991701168385, 100548005484943805058, 386366653671646507648, 1486213814856846983163, 5722623576197479743454, 22055645988038871400796, 85081504500459623632361, 328490486156929599177011, 1269303438480172242687339, 4908480656929660953237051], 426451630121498460174844631019487531694663428741500\ 4341826806733978735335972006194060213885588684156758966444389895044235844590496\ 7210775295300677886795696573785216145205757099695265070742393762561127465333977\ 1618436235328952843229896737954945563805540179297106554527279902906970214536920\ 8956706235033610617999453633336290304467860215501908463257470111000612598885597\ 4163808567266719476808731649739462576190077224696809699056447414065872649646224\ 9371304590395118657765960376965413260052721543846143976014111382943105029033730\ 3116377269675549284998382736447955924420501073025720660376563764835426] ---------------------------- (A,B)= , {2, 4, 5}, {1, 2, 5} [P^2*x^9+2*P^2*x^8-2*P^2*x^6+2*P*x^7-3*P^2*x^5+4*P*x^6+3*P^2*x^4+P*x^5-4*P*x^4+ x^5+2*P^2*x^2-2*P*x^3+2*x^4-3*P^2*x+x^3+P^2+4*P*x-x^2-2*P-x+1, (1+(-x^3-x^2)*C) /((x^5+x^4-x^2)*C-x^3-x+1), {5*n*(n-5)*a(n)+(-65*n^2+445*n-360)*a(n-1)+(316*n^2 -2696*n+3888)*a(n-2)+(-710*n^2+7120*n-13944)*a(n-3)+(737*n^2-8203*n+18984)*a(n-\ 4)+(-381*n^2+3597*n-6096)*a(n-5)+(567*n^2-5193*n+8892)*a(n-6)+(-921*n^2+12129*n -39012)*a(n-7)+6*(n-8)*(37*n-504)*a(n-8)+(287*n^2-4567*n+16944)*a(n-9)+(319*n^2 -3365*n+4428)*a(n-10)+(-315*n^2+5589*n-22788)*a(n-11)+(-228*n^2+3318*n-11496)*a (n-12)+(118*n^2-3194*n+22128)*a(n-13)+(46*n^2-266*n-3912)*a(n-14)+(-25*n^2+1055 *n-9492)*a(n-15)-2*(n-12)*(5*n-67)*a(n-16)+10*(n-15)*(5*n-76)*a(n-17)+12*(n-16) *(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 4, a(6) = 7, a(7) = 12, a(8) = 21, a(9) = 42, a(10) = 92, a(11) = 222, a(12) = 593, a(13) = 1714, a(14) = 5260, a(15) = 16877, a(16) = 55924, a(17) = 189780, a(18) = 655826}, [1, 1, 2, 3, 4, 7, 12, 21, 42, 92, 222, 593, 1714, 5260, 16877, 55924, 189780, 655826, 2298859, 8151336, 29179300, 105294374, 382580759, 1398417725, 5138433189, 18969040555, 70317768208, 261642263473, 976829472843, 3658173284211 , 13738167535926, 51726294290614, 195219497340197, 738390031768266, 2798527388889342, 10626546969233002, 40422003593861175, 154012629529421475, 587708904227746288, 2245921026340515076, 8594399285088277071, 32929963405015162928, 126325315707773877967, 485159220371691190685, 1865290913907556867750, 7178818045686027999156, 27655464212104783890962, 106637465118708109245076, 411547766968211545269525, 1589623772979527960790688], 1317384903601555646792556136735851727777017680817238132914148191808799097328273\ 6894563075958028039472479143941144349612733302409159073003012028903134399371373\ 4095280380420148955019590728297293615070785955638598160637565103710686200311757\ 8508073173746347246868828664996598543609409177933209956911019692531764516527230\ 3960256891447327155518318030228995602332604670032064261262917753211128007214876\ 2781387919913633937808849413094796583283074163533059399052832676196112346182561\ 6741729603748401965331065236643616141571400157150986423585215952926823880188965\ 436875950335695209453921961143564091847366] ---------------------------- (A,B)= , {2, 4, 5}, {1, 3, 4} [P^2*x^10-2*P^2*x^9+P^2*x^8+3*P^2*x^7-2*P*x^8-8*P^2*x^6+2*P*x^7+10*P^2*x^5+2*P* x^6-5*P^2*x^4-8*P*x^5+x^6-P^2*x^3+9*P*x^4+5*P^2*x^2-4*P*x^3-2*x^4-4*P^2*x-4*P*x ^2+3*x^3+P^2+6*P*x-2*P-2*x+1, (C*x^3-x^3+x-1)/((x^5-x^4+x^3)*C-x^5+x^4-x^2+2*x-\ 1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-346*n^2+2566*n-3588)*a(n-2)+( 1037*n^2-9263*n+17658)*a(n-3)+(-1661*n^2+17339*n-40818)*a(n-4)+(1096*n^2-14056* n+40056)*a(n-5)+(952*n^2-7108*n+11736)*a(n-6)+(-3108*n^2+31362*n-73824)*a(n-7)+ (3610*n^2-37498*n+83412)*a(n-8)+(-2235*n^2+23967*n-54726)*a(n-9)+(565*n^2-11137 *n+66594)*a(n-10)+(106*n^2+10652*n-121188)*a(n-11)+(-87*n^2-9711*n+107874)*a(n-\ 12)+(269*n^2-4919*n+30954)*a(n-13)+(-811*n^2+26299*n-207366)*a(n-14)+(1096*n^2-\ 34810*n+270984)*a(n-15)+(-732*n^2+22584*n-173520)*a(n-16)+(137*n^2-4241*n+33282 )*a(n-17)+(198*n^2-6066*n+45948)*a(n-18)+(-182*n^2+5726*n-44604)*a(n-19)+28*(2* n-29)*(n-18)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6 ) = 13, a(7) = 27, a(8) = 60, a(9) = 141, a(10) = 354, a(11) = 951, a(12) = 2716, a(13) = 8174, a(14) = 25685, a(15) = 83537, a(16) = 279143, a(17) = 952792, a(18) = 3307318, a(19) = 11636590, a(20) = 41397542}, [1, 1, 2, 4, 7, 13, 27, 60, 141, 354, 951, 2716, 8174, 25685, 83537, 279143, 952792, 3307318, 11636590, 41397542, 148632284, 537801956, 1958936982, 7176717846, 26425987573, 97742841693, 362976266643, 1352805765856, 5058332094829, 18969931547758, 71334523252872, 268913452571368, 1016059230254017, 3847194184596494, 14595568165456577, 55474078898676198, 211201946149172946, 805371565279141153, 3075683830892490636, 11762363812517942726, 45042148384429514100, 172696022933062932100, 662909556004770681044, 2547459846768871436284, 9799776282652940748578, 37736126092486680745897, 145448474219039957623788, 561114750945856572357818, 2166537756593934555059087, 8372123043594807323168985] , 70725745072992406506762906208364342993601261634250649237838056937535394713055\ 8552912069767478355845933080526818870958937307371590147327375959154929637292656\ 3104082853200038623708576100174102781216354996440217650158298743565219450261396\ 9796908227566007290253537941592969073724275668810259799724193059249699319534591\ 4606184090454129539377337626382138216583695843730530929652235330237922912033472\ 9975024365484445679264899606674880638367937754989756429077422643071288604371569\ 1252512733116288365051918230990315217292828637572650388806486417005337511173562\ 29476817064070583506547378450757139587406941] ---------------------------- (A,B)= , {2, 4, 5}, {1, 3, 5} [P^2*x^11-4*P^2*x^10+8*P^2*x^9-11*P^2*x^8-2*P*x^9+11*P^2*x^7+6*P*x^8-5*P^2*x^6-\ 10*P*x^7-3*P^2*x^5+10*P*x^6+x^7+10*P^2*x^4-5*P*x^5-2*x^6-12*P^2*x^3-4*P*x^4+3*x ^5+10*P^2*x^2+10*P*x^3-x^4-5*P^2*x-12*P*x^2-x^3+P^2+8*P*x+3*x^2-2*P-3*x+1, ((x^ 4-x^3+x^2)*C+x-1)/((x^6-2*x^5+2*x^4-2*x^3+x^2)*C+x^3-x^2+2*x-1), {-5*n*(n-5)*a( n)+(83*n^2-559*n+456)*a(n-1)+(-582*n^2+4854*n-7080)*a(n-2)+(2304*n^2-22626*n+ 45312)*a(n-3)+(-5864*n^2+65590*n-162408)*a(n-4)+(10399*n^2-129431*n+374232)*a(n -5)+(-13445*n^2+183901*n-601032)*a(n-6)+(12517*n^2-190121*n+699432)*a(n-7)+(-\ 7078*n^2+132656*n-592296)*a(n-8)+(-565*n^2-40273*n+381432)*a(n-9)+(6610*n^2-\ 31472*n-283200)*a(n-10)+(-8497*n^2+45479*n+410952)*a(n-11)+(6716*n^2-14956*n-\ 629760)*a(n-12)+(-3913*n^2-11131*n+651696)*a(n-13)+(2527*n^2-6569*n-296808)*a(n -14)+(-3161*n^2+67333*n-349104)*a(n-15)+(4553*n^2-132421*n+970824)*a(n-16)+(-\ 5100*n^2+159792*n-1253160)*a(n-17)+(4282*n^2-138602*n+1121232)*a(n-18)+(-2695*n ^2+89567*n-742704)*a(n-19)+(1238*n^2-42382*n+361176)*a(n-20)+(-374*n^2+13222*n-\ 116064)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a (4) = 4, a(5) = 7, a(6) = 13, a(7) = 26, a(8) = 54, a(9) = 116, a(10) = 262, a( 11) = 627, a(12) = 1596, a(13) = 4324, a(14) = 12427, a(15) = 37617, a(16) = 118885, a(17) = 388901, a(18) = 1307000, a(19) = 4485896, a(20) = 15652776, a( 21) = 55339840, a(22) = 197745065}, [1, 1, 2, 4, 7, 13, 26, 54, 116, 262, 627, 1596, 4324, 12427, 37617, 118885, 388901, 1307000, 4485896, 15652776, 55339840, 197745065, 712833908, 2588674870, 9460316520, 34762152825, 128347704739, 475896229901, 1771261535516, 6615074207637, 24781557332456, 93098872574592, 350653666806538, 1323853289968643, 5008978547892066, 18990475449129396, 72133524541331213, 274471371961278967, 1046080691008484097, 3992970853517645566 , 15263312913939314410, 58423267950500585950, 223909862232010218588, 859171439198074810745, 3300480419618146051877, 12692261390892395914755, 48858624347255836249546, 188261517652915801714603, 726071426699549321227673, 2802692720036891111760602], 226748110409098135032157204408024244374346995632829\ 6997662945680563484549504538884179259635725118882224835330258470223512888152591\ 0036315229155875654113468538869349925664809295635136208116134876210946277395191\ 2280941393845446715419385755185231280678887143061215429070914840569939086397599\ 3601325816783983104932167146194128341779919442617054415237131864295830040247373\ 9791495413189178980191440601052463062514808421580947781431837472658021974226492\ 3236941318201900976002153653733249664966709988866589804674003634518263091139392\ 8437253712449645576381068056865762552628661668818252785052943255233668] ---------------------------- (A,B)= , {2, 4, 5}, {1, 4, 5} [P^2*x^7-2*P^2*x^6+P^2*x^5+2*P*x^6+2*P^2*x^4-3*P*x^5-3*P^2*x^3+x^5+5*P^2*x^2-4* P^2*x-4*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (-C*x^3-x+1)/((x^4-x^3)*C-x^3+x^2-2*x+1) , {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(437*n^2-3685*n+5352)*a(n-2)+(-\ 1337*n^2+13285*n-26424)*a(n-3)+(2336*n^2-26320*n+64224)*a(n-4)+(-2479*n^2+30539 *n-85032)*a(n-5)+(1690*n^2-22262*n+67200)*a(n-6)+(-549*n^2+8883*n-31704)*a(n-7) +(-516*n^2+4812*n-7848)*a(n-8)+(848*n^2-10450*n+28176)*a(n-9)+(-474*n^2+6288*n-\ 17832)*a(n-10)+(98*n^2-1318*n+3312)*a(n-11)+(26*n^2-676*n+4416)*a(n-12)+(-6*n^2 +114*n-480)*a(n-13)+(-10*n^2+296*n-2160)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 26, a(8) = 53, a(9) = 111, a(10) = 244, a(11) = 567, a(12) = 1400, a(13) = 3690, a(14) = 10372, a(15) = 30891}, [1, 1, 2, 4, 7, 13, 26, 53, 111, 244, 567, 1400, 3690, 10372, 30891, 96580, 313877, 1051092, 3601449, 12559410, 44405592, 158733543, 572506416, 2080281463, 7606838803, 27967232258, 103314351825, 383264318211, 1427139144363, 5332128942387, 19983096864053, 75098997886984, 282951563835291, 1068580325504223, 4044275384452779, 15337097129990568, 58271020552666108, 221775590275184305, 845428353174995311, 3227728304574528047, 12340524550364068361, 47244347841741566273, 181097330500841416513, 695007414430430392267, 2670261724183487127260, 10270209666382939765940, 39540485191496241947657, 152377143530296591165086, 587749675818301862500545, 2269032797230620565816642], 184464009257710266374975242058737547442592704249159\ 4082948627672973935703561045746106175745981067897277713923694568833195673023786\ 9981727026636075897566486239304165363622615902887962677700824268745930973752414\ 2099124243965417038359473004570295511215676909940942806243555587949475440060638\ 5851102106287817756324866549467497857317987499174799614745005663905595864829365\ 9329246646591658089412541554458288245253358007551513946408611220575205702970996\ 7820150677341088583352891748791246325044013241567441997232320275564102739022797\ 7507426657546782933581836120601837316272149331939588960094552799470364] ---------------------------- (A,B)= , {2, 4, 5}, {2, 3, 4} [P^2*x^8-2*P*x^8-2*P^2*x^6+x^8-P^2*x^5+4*P*x^6+4*P^2*x^4-2*x^6+P^2*x^3-7*P*x^4+ x^5-P^2*x^2+3*x^4-2*P^2*x+4*P*x^2-x^3+P^2+2*P*x-2*x^2-2*P+1, (C*x^4-x^4+x^2-1)/ (C*x^4-x^4+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-164*n^2+1268*n -1752)*a(n-2)+(167*n^2-1577*n+2814)*a(n-3)+(155*n^2-1745*n+4902)*a(n-4)+(-115*n ^2+2245*n-8382)*a(n-5)+(-511*n^2+5347*n-13938)*a(n-6)+(265*n^2-4171*n+16698)*a( n-7)+(423*n^2-4335*n+6930)*a(n-8)+(-57*n^2+717*n-1014)*a(n-9)+(-201*n^2+447*n+ 15966)*a(n-10)+(24*n^2+594*n-11388)*a(n-11)+(-146*n^2+5558*n-45012)*a(n-12)+(-\ 69*n^2+1863*n-12162)*a(n-13)+(310*n^2-9844*n+77040)*a(n-14)+(32*n^2-668*n+2904) *a(n-15)-12*(13*n-192)*(n-16)*a(n-16)-6*(5*n-66)*(n-17)*a(n-17)+28*(2*n-29)*(n-\ 18)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a( 7) = 17, a(8) = 35, a(9) = 78, a(10) = 190, a(11) = 504, a(12) = 1441, a(13) = 4378, a(14) = 13934, a(15) = 45914, a(16) = 155255, a(17) = 535361, a(18) = 1874297}, [1, 1, 2, 3, 5, 9, 17, 35, 78, 190, 504, 1441, 4378, 13934, 45914, 155255, 535361, 1874297, 6641670, 23768442, 85763188, 311632687, 1139231245, 4186756420, 15458695487, 57316078196, 213306251512, 796521201880, 2983481398174 , 11206380411024, 42200943322371, 159296003417560, 602608270913548, 2284247504653295, 8674950042561258, 33002808527361471, 125760665794689039, 479958324365145865, 1834366011080263050, 7020288090577288592, 26901489690892962144, 103209354523788867420, 396419114096491020277, 1524251592244827785161, 5866797287022221109076, 22602970333283204040839, 87162417784756775812383, 336413298986934066543110, 1299509164200996430373071, 5023787273465273496379211], 431548516705401302052007254091074944811739988734169\ 7146572997462172184678484057830475070411641420336497980991280016324100490084040\ 4190903121078762440112947966293264855369487889009621344113279699466890847261484\ 2560963797946951123541903402522470038060233416187372496024465916302491670940895\ 1650595733555874386904881469571652772186554504883364042379527477981059661508126\ 7266950427399054616010716553501417065192921711692767747060301434534554881077311\ 1465101408560597322734355504488890924795931275204560482276536361146750239598770\ 0176056123783015035590336556794972352682121650988743783001138894545643] ---------------------------- (A,B)= , {2, 4, 5}, {2, 3, 5} [P^2*x^9-2*P^2*x^8-2*P*x^9-P^2*x^7+4*P*x^8+x^9+5*P^2*x^6-2*x^8-P^2*x^5-8*P*x^6+ x^7-4*P^2*x^4+5*P*x^5+3*x^6+4*P^2*x^3+4*P*x^4-3*x^5+P^2*x^2-8*P*x^3-3*P^2*x+2*P *x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-x+1, ((x^5-x^4+x^2)*C+x^2-1)/((x^5-x^4-x^3+x^2)* C+x^2+x-1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-308*n^2+2638*n-3804)*a (n-2)+(599*n^2-6121*n+11964)*a(n-3)+(-133*n^2+1871*n-3540)*a(n-4)+(-1267*n^2+ 15707*n-48336)*a(n-5)+(1694*n^2-24016*n+83628)*a(n-6)+(163*n^2+163*n-9264)*a(n-\ 7)+(-2070*n^2+28836*n-98400)*a(n-8)+(1342*n^2-22070*n+90396)*a(n-9)+(644*n^2-\ 3796*n-27672)*a(n-10)+(-896*n^2+6088*n+45648)*a(n-11)+(79*n^2+973*n-28812)*a(n-\ 12)+(-179*n^2+12271*n-127164)*a(n-13)+(476*n^2-19774*n+184896)*a(n-14)+(155*n^2 -3553*n+17220)*a(n-15)-2*(71*n-1110)*(5*n-88)*a(n-16)+(320*n^2-11632*n+104952)* a(n-17)+(212*n^2-6868*n+55104)*a(n-18)-6*(37*n-596)*(n-19)*a(n-19)+28*(2*n-33)* (n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 16, a(8) = 31, a(9) = 62, a(10) = 134, a(11) = 312, a(12) = 790, a(13) = 2166, a(14) = 6362, a(15) = 19748, a(16) = 63924, a(17) = 213483, a(18) = 729727, a(19) = 2538706, a(20) = 8953967}, [1, 1, 2, 3, 5, 9, 16, 31, 62, 134, 312, 790, 2166, 6362, 19748, 63924, 213483, 729727, 2538706, 8953967, 31928152, 114876412, 416444200, 1519409802, 5574608562, 20553208146, 76107957792, 282921793350, 1055409605123, 3949583999183, 14822951038772, 55778209843221, 210401096850513, 795432004704217, 3013403219170066, 11437892783146005, 43492228474145482, 165654149415541666, 631933292977192104, 2414215806662914666, 9235883270829126117, 35378812448128458869, 135687090617696698782, 520996669492024244273, 2002652322934512144190, 7705938782510580020206, 29680556125075000453976, 114425762300817145869076, 441531061723744181856688, 1705163950900871926467176], 140494330946894861660297271262852818748828085739834\ 8467722060465817957121044696152694182050953736173537626612066007217363024316881\ 2705829734470393765246864064927144961290254958612422706249022588258474623660114\ 1611370235540280352580645932054515039737542467381229791274541446739221250148466\ 2157687766839796355075581275139631759127437728955088971256806531509203682289796\ 0801215326777409229989501069801568659443672902984982016202668911981809537141010\ 0661028807106302254868100202016256622307176533357602003355017600847481424633024\ 5225322497243557568996467806076465895297650851001233790070897099924225] ---------------------------- (A,B)= , {2, 4, 5}, {2, 4, 5} [P^2*x^7-2*P^2*x^6+2*P*x^6+P^2*x^4-P*x^5+4*P^2*x^3-4*P*x^4+x^5-2*P^2*x^2-4*P*x^ 3+2*x^4-2*P^2*x+6*P*x^2+P^2+2*P*x-3*x^2-2*P+1, (-C*x^3-x^2+1)/((x^4-x^3)*C-x^2- x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-6)*a(n-1)+3*(65*n-116)*(n-7)*a(n-2)+(-104* n^2+1204*n-2016)*a(n-3)+(-627*n^2+7047*n-18624)*a(n-4)+(850*n^2-11030*n+33384)* a(n-5)+(475*n^2-6977*n+25140)*a(n-6)+(-919*n^2+16037*n-66600)*a(n-7)+(-318*n^2+ 3042*n-5184)*a(n-8)+(333*n^2-5583*n+24420)*a(n-9)+(438*n^2-6894*n+25704)*a(n-10 )+(-292*n^2+4514*n-15768)*a(n-11)+(-28*n^2+752*n-4680)*a(n-12)+(52*n^2-1136*n+ 6192)*a(n-13)-6*(3*n-40)*(n-14)*a(n-14)+4*(2*n-27)*(n-14)*a(n-15) = 0, a(1) = 1 , a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 16, a(8) = 30, a(9) = 59, a(10) = 123, a(11) = 277, a(12) = 679, a(13) = 1813, a(14) = 5227, a(15) = 16037}, [1, 1, 2, 3, 5, 9, 16, 30, 59, 123, 277, 679, 1813, 5227, 16037, 51580, 171730, 586338, 2039626, 7196509, 25676880, 92446729, 335358226, 1224345527, 4494699814, 16580684861, 61428453287, 228456911731, 852591174151, 3191819153907, 11983276011458, 45107388464455, 170201288299764, 643635867449234 , 2438980423716657, 9259837589894238, 35218302041221008, 134169018077880280, 511927735055287150, 1956121573107886058, 7484724061860889630, 28675690392255047807, 109996395971859333634, 422416137428798559256, 1623952639352443199332, 6249603636970443728619, 24074383525147232312466, 92824044198023873890810, 358219284565744809572905, 1383574475261860424821865], 1145212365938130507341337193361642228107717094206420175933600886412265620001158\ 4940844974701295440045647485783702608830746923706131930281589497456804874931922\ 9547773013487075320269959263661114929465764955742582760276571386550122887663662\ 9538031516337856797213358167906665204508874543899133722054029701207836903504464\ 5125547574579204075954758580623439301554597740991006968632791714514011611873748\ 3086103826684945017187900462167005896197993200851068786855393970852404236181896\ 7718800248233528799981100206451067509653884843859015436678051053047957223330164\ 608421582939156073142446899150081742920274] ---------------------------- (A,B)= , {2, 4, 5}, {3, 4, 5} [P^2*x^7-2*P*x^8+x^9-2*P*x^7+2*x^8+x^7+2*P^2*x^4-3*P*x^5+x^6-P^2*x^3-2*P*x^4+2* x^5+4*P^2*x^2-2*P*x^3+x^4-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-x^2-2*P-2*x+1, ((x^5+x^ 4)*C+x^2+x-1)/(C*x^4+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-429*n ^2+3627*n-5268)*a(n-2)+(1233*n^2-12327*n+24504)*a(n-3)+(-1835*n^2+20791*n-50352 )*a(n-4)+(1387*n^2-16613*n+43692)*a(n-5)+(-683*n^2+7483*n-16620)*a(n-6)+(468*n^ 2-5964*n+17040)*a(n-7)+(-49*n^2+1361*n-7080)*a(n-8)+(-226*n^2+2258*n-3168)*a(n-\ 9)+(196*n^2-2294*n+6624)*a(n-10)+(-200*n^2+5944*n-46464)*a(n-11)+(106*n^2-4154* n+37680)*a(n-12)+(-57*n^2+1695*n-12996)*a(n-13)+(70*n^2-2438*n+20856)*a(n-14)+( -11*n^2+307*n-2136)*a(n-15)+2*(n-12)*(n-11)*a(n-16)+20*(2*n-31)*(n-18)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 17, a(7) = 37, a( 8) = 82, a(9) = 185, a(10) = 427, a(11) = 1014, a(12) = 2493, a(13) = 6385, a( 14) = 17121, a(15) = 48189, a(16) = 142282, a(17) = 439082}, [1, 1, 2, 4, 8, 17 , 37, 82, 185, 427, 1014, 2493, 6385, 17121, 48189, 142282, 439082, 1408145, 4662563, 15840245, 54918433, 193468506, 690217919, 2487435213, 9038355861, 33066421356, 121669688130, 449904197738, 1670793893210, 6228309556711, 23296086441721, 87400407754065, 328804491514315, 1240082084431529, 4687710918993109, 17757834722451599, 67401376044907057, 256292480830558360, 976195562031559638, 3724113269062225420, 14228205969686277107, 54435092077808110049, 208532313067385728677, 799835324800834095122, 3071359806321374263645, 11806910901708390731853, 45435169558582964419200, 175014925490152758504922, 674782259128352362098102, 2603982269587893904687577], 2087480549673897146886953767838121038087346798801906324754435969823868929766039\ 7381389028973155138558615130978033416792966226566770049543191195832213974091783\ 2271104383142181747745390763149804595771257596295934241641383853432450234202214\ 2623305065748109303007388150693849934622023423691274367948566404727306225026433\ 6778549497462598758722727646978615679570434984272372478289233040408258834629414\ 3170642899164144631875733386397966562895650446442041998420790089777651549451380\ 8519904363081006881105496095069194199129534160084266519148227918161114157319429\ 012122882691460128239474037536743328659496] ---------------------------- (A,B)= , {2, 4, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^8+P^2*x^7-P^2*x^6+3*P^2*x^5+P^2*x^4-2*P*x^5-2*P^2*x^3+P*x^4+P ^2*x^2+2*P*x^3-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^5-x^5+x^3+x-1), {-4*n*(n-4)*a(n )+3*(15*n-14)*(n-5)*a(n-1)+(-176*n^2+1340*n-1848)*a(n-2)+(298*n^2-2632*n+4788)* a(n-3)+(-300*n^2+2808*n-5880)*a(n-4)+(322*n^2-3280*n+7788)*a(n-5)+(-157*n^2+ 2485*n-8718)*a(n-6)+(-222*n^2+1152*n+1812)*a(n-7)+(238*n^2-1678*n+120)*a(n-8)+( -223*n^2+1747*n-1926)*a(n-9)+(313*n^2-3343*n+8190)*a(n-10)+(-109*n^2+1597*n-\ 5262)*a(n-11)+(-28*n^2-482*n+5124)*a(n-12)+(-n^2+415*n-3270)*a(n-13)+(2*n^2-122 *n+996)*a(n-14)+(8*n^2-44*n-384)*a(n-15)-2*(n-10)*(n-12)*a(n-16)+4*(2*n-23)*(n-\ 12)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 4, a(6) = 7, a( 7) = 13, a(8) = 25, a(9) = 55, a(10) = 136, a(11) = 369, a(12) = 1085, a(13) = 3385, a(14) = 11007, a(15) = 36870, a(16) = 126221, a(17) = 439288}, [1, 1, 2, 3, 4, 7, 13, 25, 55, 136, 369, 1085, 3385, 11007, 36870, 126221, 439288, 1548796, 5518278, 19834006, 71819309, 261729578, 959165315, 3532464963, 13066834048, 48525900377, 180850688794, 676186827534, 2535650241492, 9534111956767, 35937252889743, 135768768594468, 514009748530191, 1949815243690056, 7409813287328615, 28207188649460734, 107548236912434734, 410671421225819170, 1570341345804930772, 6012654419525158559, 23050390998984470440, 88470859699793180620, 339941791082265622075, 1307572785482111469773, 5034551543885592493869, 19402945892122278709588, 74845632224080143398849, 288960537796284269608678, 1116520186217432355874098, 4317520912699589653050120], 374754880506548874032501735611568231809233037853338\ 8860646715075484177157136675864372605174815199775424461420472647815390611515799\ 4898548074556189479766616483987512937743200304172178659323934273506311052361081\ 2027200099665186698314088790968131799685879258437383628066811034567251530367494\ 3317617380465355083054439778952575616016632989836089791575246686286625096702614\ 7572608174092969960612842404410842984658911215266854957456759302353029069175551\ 5454092260305833209942802538065804089203833863991785086934437753967986133074554\ 1526812910187081467565418689931583872557332329485374436849299964973730] ---------------------------- (A,B)= , {2, 4, 5}, {1, 2, 3, 5} [P^2*x^11-2*P^2*x^10+P^2*x^9-P^2*x^8+3*P^2*x^7-2*P*x^7-2*P^2*x^5+2*P*x^6+2*P^2* x^4+P*x^5-2*P^2*x^3+3*P^2*x^2-3*P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+1, (C*x^2-1)/ ((x^6-x^5-x^3+x^2)*C+x^3+x-1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-324 *n^2+2754*n-3972)*a(n-2)+(807*n^2-8013*n+15732)*a(n-3)+(-1153*n^2+12803*n-30516 )*a(n-4)+(1106*n^2-12970*n+34008)*a(n-5)+(-928*n^2+10820*n-28296)*a(n-6)+(773*n ^2-9529*n+26784)*a(n-7)+(-361*n^2+6545*n-27936)*a(n-8)+(-290*n^2-200*n+21876)*a (n-9)+(563*n^2-3697*n-12612)*a(n-10)+(-458*n^2+2968*n+10356)*a(n-11)+(478*n^2-\ 3230*n-8112)*a(n-12)+(-469*n^2+4175*n+852)*a(n-13)+(272*n^2-3364*n+7104)*a(n-14 )+(-136*n^2+3056*n-18144)*a(n-15)+(110*n^2-3202*n+23376)*a(n-16)+(-72*n^2+1992* n-13848)*a(n-17)+(80*n^2-2260*n+15984)*a(n-18)-2*(5*n-72)*(7*n-107)*a(n-19)+12* (n-16)*(2*n-29)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 4, a(6) = 7, a(7) = 12, a(8) = 21, a(9) = 41, a(10) = 88, a(11) = 208, a(12) = 546 , a(13) = 1562, a(14) = 4771, a(15) = 15288, a(16) = 50691, a(17) = 172278, a( 18) = 596384, a(19) = 2094109, a(20) = 7437152}, [1, 1, 2, 3, 4, 7, 12, 21, 41, 88, 208, 546, 1562, 4771, 15288, 50691, 172278, 596384, 2094109, 7437152, 26660599, 96326246, 350381607, 1281966444, 4714581539, 17417625498, 64610701197 , 240554165877, 898593865039, 3366869860307, 12649950607687, 47648849947123, 179899693432171, 680684915921991, 2580663100295016, 9802232925935869, 37296882894918491, 142142705461409220, 542546000759311197, 2073805689146890469, 7937472800181966416, 30419041519022213600, 116715120698783943537, 448331038941159962690, 1723989422447947556158, 6636063528379782415790, 25568454606716920310105, 98604315985142870296168, 380597423121959216911854, 1470268143277015926722358], 122462828677713207884216671591667719429664212598847\ 5919630683684591338377942914942484883353970211366789238114828107109848068402301\ 9823030144193845751779330589587907502393027107092822949493218251613066254488010\ 9587519202280287308568597342867779905133630882216132598638171912750497393230400\ 8523858706577707727574133295919865796532290668011877646842087283536962858303187\ 7957009503994675403666446861212593478624968041559950612489625701291522532348019\ 8986777553771046389866600495846723197426491486134403790585242911598241269919062\ 7953566683682982936973514557198019311110239286061590412371501723658144] ---------------------------- (A,B)= , {2, 4, 5}, {1, 2, 4, 5} [P^2*x^7-2*P^2*x^6+2*P^2*x^5+2*P*x^6+P^2*x^4-3*P*x^5+x^5-2*P^2*x+2*P*x^2+P^2+2* P*x-x^2-2*P+1, (-C*x^3+1)/((x^4-x^3)*C-x^3-x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n -6)*a(n-1)+(211*n^2-1829*n+2604)*a(n-2)+(-284*n^2+2860*n-5328)*a(n-3)+(41*n^2-\ 265*n-456)*a(n-4)+(76*n^2-1448*n+6072)*a(n-5)+(15*n^2-381*n+1092)*a(n-6)+(299*n ^2-2689*n+4608)*a(n-7)+(-436*n^2+4688*n-10416)*a(n-8)+(83*n^2-85*n-4692)*a(n-9) +16*(4*n-27)*(n-11)*a(n-10)+(-54*n^2+816*n-2856)*a(n-11)+(24*n^2-600*n+3768)*a( n-12)+(2*n^2-106*n+1032)*a(n-13)+(-10*n^2+296*n-2160)*a(n-14)+4*(2*n-27)*(n-14) *a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 4, a(6) = 7, a(7) = 12, a(8) = 20, a(9) = 38, a(10) = 79, a(11) = 179, a(12) = 456, a(13) = 1280, a(14) = 3863, a(15) = 12307}, [1, 1, 2, 3, 4, 7, 12, 20, 38, 79, 179, 456, 1280 , 3863, 12307, 40716, 138305, 478932, 1682835, 5981226, 21458311, 77587875, 282415735, 1033942833, 3804614831, 14063125202, 52191861335, 194401229446, 726476815640, 2722970893671, 10234145363884, 38561180483377, 145630953205694, 551170544234354, 2090161770370684, 7941000036594229, 30221628118077016, 115201776878159358, 439799882035650445, 1681379192778959071, 6436569405270460944, 24671084001589879764, 94675271148209092534, 363723608052212868207, 1398837658030766299250, 5385181094029416173365, 20751455100163103591505, 80037171560479929387559, 308966216910204846705458, 1193682468948271654370971], 998717331591128490271987840854468037127080279756249\ 4454204232050388209146268279962838650820535272942713969400130551269002139931892\ 1311893899286604627411548162064076936395022108419676036741079739556535255143449\ 0784902001736221042548941601165013744127212827581206879257713274583440255658606\ 5279409316456803693616216917073061317058503332212936484628813490365138456327564\ 7305064887668924714461453681599075449078562412568415949660289207695351344263026\ 8207576326992936534340653925064682256798346613683624735398996760650715374678621\ 418460876829087665963869349579645680801783296801172218643221821093159] ---------------------------- (A,B)= , {2, 4, 5}, {1, 3, 4, 5} [P^2*x^11-2*P^2*x^10+3*P^2*x^9-P^2*x^8-2*P*x^9-P^2*x^7+2*P*x^8+5*P^2*x^6-2*P*x^ 7-6*P^2*x^5-2*P*x^6+x^7+8*P^2*x^4+3*P*x^5-7*P^2*x^3-6*P*x^4+6*P^2*x^2+6*P*x^3+x ^4-4*P^2*x-6*P*x^2-x^3+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^4+x-1)/((x^6-x^5+x^4)*C+x^ 3-x^2+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-445*n^2+3743*n-5436) *a(n-2)+(1455*n^2-14349*n+28536)*a(n-3)+(-3037*n^2+33749*n-82488)*a(n-4)+(4705* n^2-57143*n+161292)*a(n-5)+(-6065*n^2+79195*n-249000)*a(n-6)+(6648*n^2-92664*n+ 317784)*a(n-7)+(-6179*n^2+91753*n-339372)*a(n-8)+(4832*n^2-79180*n+327156)*a(n-\ 9)+(-2926*n^2+59318*n-305100)*a(n-10)+(1172*n^2-40684*n+297684)*a(n-11)+(-57*n^ 2+27855*n-299856)*a(n-12)+(-230*n^2-22292*n+292068)*a(n-13)+(-31*n^2+23117*n-\ 285072)*a(n-14)+(372*n^2-24420*n+262128)*a(n-15)+(-405*n^2+18801*n-186432)*a(n-\ 16)+(183*n^2-8271*n+83784)*a(n-17)+(190*n^2-5678*n+41928)*a(n-18)+(-375*n^2+ 12495*n-103584)*a(n-19)+(358*n^2-12410*n+106968)*a(n-20)+(-182*n^2+6454*n-56784 )*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 7, a(6) = 13, a(7) = 26, a(8) = 53, a(9) = 110, a(10) = 238, a(11) = 544, a(12) = 1323, a(13) = 3442, a(14) = 9583, a(15) = 28379, a(16) = 88502, a( 17) = 287511, a(18) = 963602, a(19) = 3306332, a(20) = 11548575, a(21) = 40895302, a(22) = 146395230}, [1, 1, 2, 4, 7, 13, 26, 53, 110, 238, 544, 1323, 3442, 9583, 28379, 88502, 287511, 963602, 3306332, 11548575, 40895302, 146395230, 528681017, 1923196484, 7039359790, 25903170918, 95762064695, 355486018096, 1324492683658, 4951260216380, 18564641934534, 69798605094807, 263085189426585, 993912881578218, 3762926498565230, 14274491702126574, 54249095848677065, 206522356241484792, 787472864520549870, 3007142862586715537, 11499595583031147578, 44033665477138269629, 168821510566465784151, 648009123325109242040, 2490101668077353648672, 9578778117958780582461, 36883886121058988911375, 142159208229810111577143, 548409456322028034805902, 2117423820999984579742809], 172949567532931578216942735232537569775675669180757\ 8700591979809205262034102433351970722498373271590118815379650929034114987962690\ 7043001696342746234684696369891222542655939201735908775244600588845636460322938\ 0259478570611976185871534686974853523686401464974967540134323009079645749069484\ 4569852690686912431785561316863816594212612932996016096433195860804653103565605\ 2587050213577645210295106367465138388226498804706026573927857353079002119434890\ 4828456249895965724877905915974520760201287070901038508697529508707012940898537\ 0696227556869662466894215692612081968251703372544316080096765856822511] ---------------------------- (A,B)= , {2, 4, 5}, {2, 3, 4, 5} [P^2*x^9-2*P*x^9+x^9+P^2*x^6+P^2*x^5-2*P*x^6-P*x^5+x^6+2*P^2*x^3-P^2*x^2-2*P*x^ 3-2*P^2*x+4*P*x^2+P^2+2*P*x-2*x^2-2*P+1, (C*x^5+x^2-1)/(C*x^5+x^2+x-1), {-5*n*( n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-203*n^2+1771*n-2520)*a(n-2)+(194*n^2-2032* n+3672)*a(n-3)+(302*n^2-3466*n+9696)*a(n-4)+(-555*n^2+7245*n-22464)*a(n-5)+(29* n-24)*(n-5)*a(n-6)+(216*n^2-3678*n+14832)*a(n-7)+(-152*n^2+1750*n-4104)*a(n-8)+ (145*n^2-2213*n+7800)*a(n-9)+(70*n^2+370*n-10752)*a(n-10)+(-26*n^2-2594*n+32832 )*a(n-11)+(-64*n^2+2828*n-27360)*a(n-12)+(12*n^2+2094*n-28272)*a(n-13)+(84*n^2-\ 3696*n+36120)*a(n-14)+(-24*n^2+852*n-7392)*a(n-15)+(16*n^2-770*n+8280)*a(n-16)+ 8*(n-17)*(8*n-147)*a(n-17)+4*(n-14)*(n-18)*a(n-18)-6*(5*n-76)*(n-19)*a(n-19)+28 *(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5, a(6) = 9, a(7) = 16, a(8) = 30, a(9) = 58, a(10) = 119, a(11) = 263, a(12) = 634, a(13) = 1673, a(14) = 4791, a(15) = 14663, a(16) = 47169, a(17) = 157278, a(18) = 538046, a(19) = 1875349, a(20) = 6628911}, [1, 1, 2, 3, 5, 9, 16, 30, 58, 119, 263, 634, 1673, 4791, 14663, 47169, 157278, 538046, 1875349, 6628911, 23689458, 85408679, 310193669, 1133627743, 4165343558, 15377572294, 57009863497 , 212151698115, 792167278466, 2967048014618, 11144277988393, 41965924877164, 158405287440134, 599227411210867, 2271395883893530, 8626026770343455, 32816308286821943, 125048753073652715, 477237291559017954, 1823952994194682711, 6980391880129265059, 26748459816851024881, 102621745561292006238, 394160472525666644440, 1515561326396375001626, 5833329515289713974323, 22473964103112313852757, 86664717537956333586752, 334491613182449751404926, 1292083433098825730868005], 107434761690514082955398066753945295607405128953342\ 8637460046258776739793681162638615527928982713226617012578473564829420586634060\ 0898649328478592341068875550952768064018832508692948346443626593661452590356086\ 9135430677519261484106511141684964244665161321171649708158998077585653945703120\ 3190107480137654839569224503989232870377787604773704112747774277316682001821858\ 9235599743064603188282424077747705170243203020259526907704088508001370311142046\ 4201774638661040918838813122304249808538315840054509233626682145475353000056955\ 6643554661770688213420125035828935502862225399200761126125172987396499] ---------------------------- (A,B)= , {2, 4, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^8+2*P^2*x^6-P^2*x^5+2*P^2*x^4+P*x^5-2*P^2*x^3+P^2*x^2+2*P*x^3-2 *P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^6+x^3+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)* a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(374*n^2-3688*n+6984)*a(n-3)+(-390*n^2+ 4062*n-8952)*a(n-4)+(491*n^2-5329*n+13008)*a(n-5)+(-547*n^2+6413*n-17556)*a(n-6 )+(444*n^2-5190*n+14352)*a(n-7)+(-448*n^2+5612*n-17076)*a(n-8)+(298*n^2-4112*n+ 14160)*a(n-9)+(-208*n^2+2756*n-9240)*a(n-10)+(158*n^2-2602*n+10596)*a(n-11)+(22 *n^2+100*n-1728)*a(n-12)+(-74*n^2+250*n+2496)*a(n-13)+(73*n^2-905*n+2412)*a(n-\ 14)+(-14*n^2+196*n-576)*a(n-15)+20*(n-8)*(2*n-21)*a(n-16)-(n-12)*(n-11)*a(n-17) +2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 4, a(6) = 7, a(7) = 12, a(8) = 20, a(9) = 37, a(10) = 75, a(11) = 167, a(12) = 419, a(13) = 1167, a(14) = 3517, a(15) = 11219, a(16) = 37206, a(17) = 126720, a(18) = 439892}, [1, 1, 2, 3, 4, 7, 12, 20, 37, 75, 167, 419, 1167, 3517, 11219 , 37206, 126720, 439892, 1548934, 5515173, 19816127, 71741459, 261418873, 957967672, 3527917393, 13049677032, 48461324354, 180607728820, 675272140121, 2532202685046, 9521099348555, 35888062093309, 135582522265177, 513303473100999, 1947132805190475, 7399610118048241, 28168322913383606, 107399984984015280, 410105168814098866, 1568175782909338993, 6004362445835860798, 23018604140387840837, 88348871706042007778, 339473145390761674617, 1305770558013455758580, 5027614211806178262302, 19376217379076022205856, 74742560602815141880081, 288562733978772916005433, 1114983628840189801575576], 9370506967277727122549970651772164387708253409088495147374833926073976024601456\ 3739032439376052923281529129053688945790302315621312212417806082416330403300582\ 6162377972609235619579664078119652963675547207792850011246915942747433965181921\ 6016264597864649046478546645343922756802724470372631001566863690547832793732545\ 6942999998494382300907156707907349102768829534674323504420491711971449054771601\ 1229781985354514517816017878652925333232309403477196650281953591474941635239667\ 0446056347979223790865083841116662445193495939584375813270452648796076150784973\ 46801525149087097846853372601155685441905] ---------------------------- (A,B)= , {3, 4, 5}, {} [P^2*x^7+2*P^2*x^6+3*P^2*x^5+4*P^2*x^4-P^2*x^3-P^2*x^2+3*P*x^3-2*P^2*x+2*P*x^2+ P^2+2*P*x-2*P+1, (-C*x+1)/((x^4+x^3+x^2-x)*C-x^4-x^3-x^2-x+1), {-3*n*(n-3)*a(n) +2*(17*n-16)*(n-4)*a(n-1)+(-126*n^2+852*n-1140)*a(n-2)+(151*n^2-1287*n+2360)*a( n-3)+(-6*n^2-42*n+228)*a(n-4)+(116*n^2-468*n-332)*a(n-5)+(-289*n^2+2793*n-6416) *a(n-6)+(-79*n^2+645*n-1244)*a(n-7)+(44*n^2-864*n+3352)*a(n-8)+(98*n^2-1680*n+ 6556)*a(n-9)+(108*n^2-1458*n+4992)*a(n-10)+(45*n^2-675*n+2544)*a(n-11)+6*(n-8)* (2*n-17)*a(n-12) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 154, a(9) = 355, a(10) = 866, a(11) = 2251, a(12) = 6245} , [1, 2, 4, 8, 16, 33, 70, 154, 355, 866, 2251, 6245, 18414, 57213, 185405, 620629, 2129017, 7439673, 26367505, 94489799, 341625588, 1244174774, 4559060423 , 16793971554, 62147298893, 230913270440, 861080917988, 3221443510012, 12087494204050, 45476623926282, 171517584430018, 648354248106943, 2455977538768902, 9321340465911779, 35441752116509282, 134983876626973003, 514909491556427422, 1967067133445470167, 7525021790792224809, 28824459171118788381, 110547017150291455062, 424458971535679006492, 1631548699699498919233, 6277908484546161213133, 24180064675135846380835, 93219365568695176660551, 359700693295280978180857, 1389135191429884881412863, 5369066755275877444913157, 20767693084841114072336146], 18270849281318470214912\ 8617620910305766649583568010129264062424711012493441657007072129210899532853729\ 9928586324356669371751212989005174435890328672863062373682801309547034329605434\ 6882643585921835448672818764532050416309586232173179645270510734882714184238041\ 4492076303036505471504614022345382617648054402675470887885743221261902107344045\ 3798355488856931160827379852931504384044312900178074120869467929960755868706315\ 5108915596657885556670434979579782375863607251667976276196317498584505396406555\ 2044449039081984140349692306583029156305443084908481269474547197759478855222629\ 92406778996616227557] ---------------------------- (A,B)= , {3, 4, 5}, {1} [4*P^2*x^7+4*P^2*x^6+5*P^2*x^5+4*P*x^6+6*P*x^5-6*P^2*x^3+8*P*x^4+x^5-P^2*x^2+7* P*x^3+2*x^4-2*P*x^2+3*x^3+P^2-2*P*x+4*x^2-2*P+2*x+1, ((-x^3-x^2-x)*C+x^3+x^2+x+ 1)/((2*x^4+x^3-x)*C-2*x^4-x^3-x^2+1), {3*n*(n-3)*a(n)+(-24*n^2+126*n-96)*a(n-1) +(36*n^2-270*n+348)*a(n-2)+(36*n^2-378*n+816)*a(n-3)+(140*n^2-966*n+1924)*a(n-4 )+(-295*n^2+2697*n-5960)*a(n-5)+(-327*n^2+3015*n-7032)*a(n-6)+(-25*n^2+645*n-\ 2420)*a(n-7)+(570*n^2-8850*n+36936)*a(n-8)+(447*n^2-4761*n+12720)*a(n-9)+(-218* n^2+6270*n-38464)*a(n-10)+(-544*n^2+13812*n-85784)*a(n-11)+(-60*n^2+432*n+1488) *a(n-12)+(496*n^2-12216*n+75248)*a(n-13)+48*(n-12)*(9*n-112)*a(n-14)+160*(2*n-\ 23)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 25, a(8) = 49, a(9) = 106, a(10) = 259, a(11) = 707, a(12) = 2112, a(13) = 6722, a(14) = 22324, a(15) = 76265}, [1, 2, 3, 5, 8, 14, 25, 49, 106, 259, 707, 2112, 6722, 22324, 76265, 265673, 938685, 3352817, 12080612, 43845088 , 160119583, 587906283, 2168871784, 8035175133, 29881617346, 111506668762, 417396891695, 1566864057778, 5897180317786, 22248374205702, 84122715066732, 318726870259871, 1209905242421594, 4601026717365745, 17525804454676963, 66861327255515895, 255448976462725452, 977299271579894055, 3743782772865567499, 14358918766104166088, 55135568766000923886, 211940684781149873790, 815538715519829285141, 3141231232797149210403, 12110422493836323985245, 46730804787834685326711, 180473607721670401179517, 697547460752061572709812, 2698160216760736923705764, 10444338626352807835924833], 94676449323420232559166\ 8453046336164076969544314654793943341718992831028622096172597960750669444701970\ 9203311299108775800278440174831439772340065512158903619507354699476523296516508\ 0684672768886230600139374543285788457450905327002859620246180681603054367107930\ 9110775016447345365383762451529761593456990323824624679358496203016230360316041\ 7236253306549808571175685085562640623837320098655880999680012666254242893543171\ 1503258859841276782299860512740770687337242402669566595619362359736392846495947\ 3541286363676136417422820393931728979785244062507481858998208178039240932011940\ 6486302967759571444] ---------------------------- (A,B)= , {3, 4, 5}, {2} [P^2*x^7-4*P^2*x^6-2*P*x^7+2*P^2*x^5+6*P*x^6+x^7+2*P^2*x^4-2*P*x^5-2*x^6+9*P^2* x^3+x^5-7*P^2*x^2-9*P*x^3-P^2*x+12*P*x^2+3*x^3+P^2-4*x^2-2*P+x+1, ((x^4-x^3+x)* C-x^4+x^3-1)/((x^4-2*x^3-x^2+x)*C-x^4+2*x^3+x^2+x-1), {-3*n*(n-3)*a(n)+(29*n^2-\ 147*n+112)*a(n-1)+(-55*n^2+441*n-608)*a(n-2)+(-219*n^2+1365*n-2208)*a(n-3)+(791 *n^2-6549*n+13384)*a(n-4)+(-171*n^2+885*n-72)*a(n-5)+(-1636*n^2+21042*n-67028)* a(n-6)+(1405*n^2-22593*n+88292)*a(n-7)+(23*n^2+3345*n-28388)*a(n-8)+(-231*n^2+ 8547*n-55524)*a(n-9)+(1054*n^2-33762*n+231008)*a(n-10)+(-1311*n^2+38085*n-\ 261624)*a(n-11)+(450*n^2-12330*n+83952)*a(n-12)+(-587*n^2+13635*n-77980)*a(n-13 )+(806*n^2-20742*n+132160)*a(n-14)+(-374*n^2+10230*n-69160)*a(n-15)+28*(n-16)*( 2*n-25)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 154, a(9) = 355, a(10) = 865, a(11) = 2243, a(12) = 6201, a(13) = 18208, a(14) = 56330, a(15) = 181813, a(16) = 606480}, [1, 2, 4, 8, 16, 33, 70, 154, 355, 865, 2243, 6201, 18208, 56330, 181813, 606480, 2074390, 7231358, 25578958, 91517150, 330441606, 1202122345, 4400892875, 16198554082, 59903137084, 222442905163, 829061710497, 3100217114066, 11627807409353, 43730826124453, 164877479642268, 623062258414064, 2359507152331218, 8952886686219713, 34032706867028476, 129588830197609498, 494228568774028578, 1887702644380681670, 7220132428172111926, 27652001171194351592, 106033951836433360447, 407071091155865504677, 1564497770499918581490, 6019129199149584750092, 23180513284937175754405, 89355545442661453295073, 344753800932823743403642, 1331273115533504049762645, 5144919302179235534998491, 19898815515622424745070470], 17443208786808992278702411783348221959129235890706\ 5537509093642889995192449528729957293589139810247086167199668013759589348366805\ 8604462027440349379977007020608783711420263268664170595280887692821883183857795\ 4542916801783060565968269293620412457131847660329468825867852238594923308068812\ 3237040027213083919022272323473877968762836362959831305711058002140548802353432\ 1781858027301594336634293706842592466520578590301247933454711207134471359751363\ 0679075385742620594041991617849926763407925826269814935590092974256234394045236\ 934414525354639212029012089815311713066571411453941415778808083482708321] ---------------------------- (A,B)= , {3, 4, 5}, {3} [P^2*x^7-2*P^2*x^6+5*P^2*x^5+2*P*x^6-2*P^2*x^4-4*P*x^5-2*P^2*x^3+6*P*x^4+x^5+9* P^2*x^2+P*x^3-2*x^4-8*P^2*x-10*P*x^2+x^3+2*P^2+12*P*x+3*x^2-4*P-4*x+2, ((-x^3+x ^2-x)*C+x^3-x^2+1)/((x^4-x^3+2*x^2-x)*C-x^4+x^3-2*x^2-x+1), {12*n*(n-3)*a(n)+(-\ 176*n^2+840*n-640)*a(n-1)+(1016*n^2-6516*n+8680)*a(n-2)+(-2968*n^2+23628*n-\ 43040)*a(n-3)+(4709*n^2-44805*n+102148)*a(n-4)+(-3946*n^2+44922*n-124808)*a(n-5 )+(1232*n^2-21696*n+84520)*a(n-6)+(777*n^2+3477*n-57900)*a(n-7)+(-1025*n^2-2775 *n+80228)*a(n-8)+(417*n^2+7407*n-92364)*a(n-9)+(-278*n^2-1500*n+36512)*a(n-10)+ (511*n^2-9183*n+41540)*a(n-11)+(-566*n^2+12624*n-70408)*a(n-12)+(395*n^2-9375*n +55540)*a(n-13)-30*(5*n-56)*(n-13)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 154, a(9) = 354, a(10) = 858, a(11) = 2207, a(12) = 6040, a(13) = 17540, a(14) = 53677, a(15) = 171550}, [1, 2, 4, 8, 16, 33, 70, 154, 354, 858, 2207, 6040, 17540, 53677, 171550, 567403, 1926982, 6678148, 23507876, 83769090, 301444647, 1093487230, 3993304480, 14666744299, 54135918500, 200689801719, 746863271257, 2789063217460, 10447946770246, 39249562507275, 147830269551765, 558115496451535 , 2111718250753150, 8006222116742101, 30411349633089312, 115718715107989317, 441042709403841460, 1683531117188903486, 6435522193843728764, 24633781354375549138, 94412362984913778211, 362281326816282965684, 1391726018805104626970, 5352121974302558204907, 20603383101456718213344, 79390590935834139742797, 306194119537698684262799, 1181960143910109795680034, 4566350219216350565752402, 17655477096721285911836273], 15274468594198531043522\ 3495769531786550820546773341340647967779205336192998412723648913815263009191066\ 3131547691506298699923925656875114983919961793569581730795397967621623785562747\ 6432186841910335103128197937564060325072706343883990468105001185370421146308110\ 3991435703904909564803870568974586870493969102455366743658867113513803673904527\ 0790397843958975382628495729265912632478445436236473074556568765207285468364422\ 9244826914927640068819036843841101074287674304391590244735810250081847991909181\ 4504256904626069991388621945526036329864295754422203424601456559101052263510617\ 96514771478826239207] ---------------------------- (A,B)= , {3, 4, 5}, {4} [P^2*x^8+2*P^2*x^7-P^2*x^6+2*P^2*x^5+2*P*x^6+P^2*x^4-7*P^2*x^3-P*x^4+9*P^2*x^2+ 8*P*x^3+x^4-5*P^2*x-12*P*x^2-2*x^3+P^2+8*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/ ((x^4+x^3-x^2)*C-x^4-x^3+x^2-2*x+1), {4*n*(n-4)*a(n)+(-66*n^2+378*n-300)*a(n-1) +(454*n^2-3334*n+4692)*a(n-2)+(-1718*n^2+15254*n-29508)*a(n-3)+(3978*n^2-41298* n+99660)*a(n-4)+(-5875*n^2+69985*n-200622)*a(n-5)+(5455*n^2-74293*n+247446)*a(n -6)+(-2783*n^2+45161*n-178110)*a(n-7)+(159*n^2-9249*n+61086)*a(n-8)+(841*n^2-\ 6451*n-5142)*a(n-9)+(-638*n^2+5498*n+4788)*a(n-10)+(151*n^2-1393*n-4386)*a(n-11 )+(76*n^2-532*n-696)*a(n-12)+(-23*n^2-163*n+4362)*a(n-13)+(-46*n^2+1186*n-7596) *a(n-14)+(34*n^2-934*n+6372)*a(n-15)+12*(2*n-25)*(n-14)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 153, a(9) = 347, a(10) = 823, a(11) = 2055, a(12) = 5426, a(13) = 15161, a(14) = 44681, a (15) = 138004, a(16) = 443244}, [1, 2, 4, 8, 16, 33, 70, 153, 347, 823, 2055, 5426, 15161, 44681, 138004, 443244, 1469012, 4990282, 17282338, 60766762, 216260393, 777216512, 2815926675, 10272048284, 37689576194, 138988674665, 514831174039, 1914524472548, 7144778226864, 26748430652482, 100429694630204, 378068746436101, 1426688783902958, 5395783166996272, 20449058849172310, 77646319483472414, 295351576599156598, 1125321850192701567, 4294242836518371813 , 16410683961629879631, 62799872204858591681, 240629036965101503540, 923129708842075315901, 3545469491431293282502, 13631837386041406664139, 52466256155921400871040, 202128757135830643452328, 779430710882714118258196, 3008214948269344319893345, 11619946147539134939510819], 96681815612818587069971\ 0322951762350184809286609226029729283305271893496253471795456119278651837583961\ 1607867275253033471972543197932837792383546130848547103820973333727701239101746\ 6683359528304432523048803541313657039355750498805190954070972335710945649093240\ 4125774772672003204761392960954613916356173544704264948517008030580772698010411\ 9354977998527906599777493033662290308531157187177307119544282439909346017457805\ 6492831940660865076113943171136449889948249788669162059036587084325290259237370\ 6776452908802479810183243703447753393517785365520615800467758154101628932428941\ 8286407737796717975] ---------------------------- (A,B)= , {3, 4, 5}, {5} [P^2*x^9+2*P^2*x^8+3*P^2*x^7-3*P^2*x^5+2*P*x^6-3*P^2*x^4+3*P*x^5+2*P*x^4+7*P^2* x^2-2*P*x^3-5*P^2*x-8*P*x^2+x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x ^4+x^3-x^2)*C-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(561*n^2-4713* n+6912)*a(n-2)+(-1976*n^2+19834*n-40368)*a(n-3)+(3792*n^2-44442*n+114024)*a(n-4 )+(-3546*n^2+48336*n-150048)*a(n-5)+(631*n^2-11231*n+44400)*a(n-6)+(909*n^2-\ 16053*n+66648)*a(n-7)+(349*n^2-3605*n+5688)*a(n-8)+(-334*n^2+10232*n-61176)*a(n -9)+(-790*n^2+10556*n-28848)*a(n-10)+(185*n^2-4543*n+26064)*a(n-11)+8*(5*n-39)* (5*n-82)*a(n-12)+(221*n^2-3097*n+8880)*a(n-13)+(-44*n^2+1246*n-8376)*a(n-14)-4* (n-8)*(8*n-99)*a(n-15)+(-2*n^2+4*n+288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 147, a(9) = 320, a(10) = 715, a(11) = 1649, a(12) = 3952, a(13) = 9908, a(14) = 26122, a(15) = 72596, a(16) = 212402, a(17) = 651272}, [1, 2, 4, 8, 16, 33, 69, 147, 320, 715, 1649, 3952, 9908, 26122, 72596, 212402, 651272, 2078951, 6859036 , 23232680, 80333881, 282309044, 1004858284, 3613590744, 13104156806, 47852311735, 175774734974, 648951077410, 2406514270958, 8959027839046, 33469234042259, 125426961337087, 471376736511169, 1776103398291410, 6708060583160237, 25390560996288989, 96299088968958499, 365917290880149680, 1392829275594702133, 5310266795334291407, 20276487001682352175, 77532867201196924355, 296864607110700975502, 1138089729695437475333, 4368266291211731624260, 16785251831578212368121, 64566423757754459876209, 248611806066176361774471, 958188149452005158929549, 3696352842715421608164240], 2923602080902148548274913472677649165197656565726441855759556015671657967336276\ 5688745801985260628438117447344582469031799376866357701936053501185371119262727\ 9332494365773005298665490162069622384331666593686473939012151157567231561873132\ 8427900395076940802608521802992091287326900416963931357031048762515673159040289\ 7390241287990686660928289967708438791798769473394859864624231788840141467004283\ 3338186384212579452256325117847804630926264531049388746802721499838555942260765\ 4755963359014984051380481716512095690173760872460161045507346857900480857713664\ 734199993035006253050258982818437872483667] ---------------------------- (A,B)= , {3, 4, 5}, {1, 2} [P^2*x^9-2*P^2*x^8-3*P^2*x^7+2*P^2*x^6+7*P^2*x^5-2*P*x^6+6*P^2*x^4-5*P^2*x^3+4* P*x^4-5*P^2*x^2+9*P*x^3+P^2*x+4*P*x^2+x^3+P^2-4*P*x+2*x^2-2*P+3*x+1, ((x^2+x)*C -x^2-x-1)/((x^5-x^4-2*x^3+x)*C-x^5+x^4+2*x^3+x^2-1), {-3*n*(n-3)*a(n)+(19*n^2-\ 105*n+80)*a(n-1)+(19*n^2-57*n+80)*a(n-2)+(-213*n^2+1695*n-3120)*a(n-3)+(-101*n^ 2+699*n-1576)*a(n-4)+(786*n^2-7752*n+18936)*a(n-5)+(390*n^2-3642*n+8556)*a(n-6) +(-1133*n^2+14031*n-44548)*a(n-7)+(-731*n^2+7341*n-17068)*a(n-8)+(569*n^2-10917 *n+52060)*a(n-9)+(600*n^2-6030*n+9696)*a(n-10)+(-256*n^2+7722*n-50612)*a(n-11)+ (-258*n^2+2376*n+120)*a(n-12)+(216*n^2-5754*n+37764)*a(n-13)+(220*n^2-4866*n+ 27320)*a(n-14)+(-89*n^2+2289*n-14692)*a(n-15)+(-102*n^2+2550*n-15792)*a(n-16)+ 20*(2*n-23)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 25, a(8) = 49, a(9) = 106, a(10) = 258, a(11) = 701, a(12) = 2083, a(13) = 6598, a(14) = 21825, a(15) = 74325, a(16) = 258272, a(17) = 910744}, [1, 2, 3, 5, 8, 14, 25, 49, 106, 258, 701, 2083, 6598, 21825, 74325, 258272, 910744, 3247892, 11687505, 42373047, 154604298, 567218085, 2091151709, 7742708476, 28779102279, 107343125151, 401646143088, 1507177263880, 5670628092147, 21387097418033, 80843486549724, 306223551488418, 1162166128187052, 4418515073992262, 16827174987155793, 64183900583835446, 245176426902681766, 937843926684158512, 3592085188488620783, 13775102408745934616, 52886620930189316391, 203269669882380032529, 782078334607397650744, 3012006333013565492872, 11610962368987160378911, 44798923077390933516873, 172995840332693153624695, 668583198794515643562389, 2585896304268018922169866, 10008933202910572362773414], 90426698038007861471528\ 4419290927171670296278561255280268504241883976223845607280333538117252131472266\ 1618389284157934398980992296901537138192570350594276056920524527756299944004602\ 2325394580627303696420699796978627621582684596090888223142470587728727482950857\ 9204529017207678750981476714979244416011142598552879491280903438427078120709950\ 9587042427670749173799739254091570302637563666892750838459205237807430247153831\ 3564875504749577353718934098385860161716822414608530856762775519552814041017568\ 2048593248184337003699088174849783760520710390954245791469433038233353579882414\ 5832226095433438928] ---------------------------- (A,B)= , {3, 4, 5}, {1, 3} [P^2*x^7+4*P^2*x^5+2*P*x^6-P^2*x^4+P^2*x^3+6*P*x^4+x^5+P*x^3-4*P^2*x+2*x^3+2*P^ 2+4*P*x+2*x^2-4*P+2, ((-x^3-x)*C+x^3+x+1)/((x^4+x^2-x)*C-x^4-2*x^2+1), {12*n*(n -3)*a(n)-8*(17*n-16)*(n-4)*a(n-1)+(520*n^2-3480*n+4640)*a(n-2)+(-746*n^2+6222*n -11392)*a(n-3)+(266*n^2-3162*n+8512)*a(n-4)+(168*n^2-528*n-1968)*a(n-5)+(-310*n ^2+630*n+6568)*a(n-6)+(530*n^2-2334*n-6704)*a(n-7)+(-234*n^2+12*n+14160)*a(n-8) +(53*n^2+1797*n-18884)*a(n-9)+(-217*n^2+3369*n-13868)*a(n-10)+(174*n^2-3714*n+ 19992)*a(n-11)+(-150*n^2+3432*n-19656)*a(n-12)+(187*n^2-4611*n+28364)*a(n-13)-2 *(11*n-112)*(n-13)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 25, a(8) = 49, a(9) = 105, a(10 ) = 253, a(11) = 678, a(12) = 1989, a(13) = 6230, a(14) = 20423, a(15) = 69053} , [1, 2, 3, 5, 8, 14, 25, 49, 105, 253, 678, 1989, 6230, 20423, 69053, 238583, 837415, 2974936, 10670689, 38579576, 140425409, 514112935, 1891833858, 6993044924, 25953732975, 96673701146, 361279087926, 1354176025068, 5089722120461, 19177964700729, 72429412466135, 274129492717414, 1039579283569669, 3949666010517902, 15031766983109627, 57300437823324725, 218756049521511696, 836327696358220506, 3201627407982589583, 12271842879438308338, 47093726389117225052, 180926706333391038060, 695829685184414013563, 2678799316911508688165, 10322679590062773809907, 39814334380170032366787, 153695934212912691996334, 593804781852184711336165, 2295974601360950117125390, 8884179484549397844832571], 792774741305578147925079\ 9413965036284733048511608962978152604052340017454736762818446714095307423414315\ 9473709975785813517917881404081102007073302640871200490498037050167938988141482\ 8652718418052250558571496539574978172010588513527582120733597941612820763398924\ 6871315432080112132585272010653155881439095766147847985695066425709308440787536\ 8187490643767520118744789301519426989027736550766004835157219838699885531715752\ 5685938492176268873795711892282655047522336321268560659838239687867158491896087\ 9623041930574594016046746901033062395102449461737259002028198663895500839235789\ 697639511456523104] ---------------------------- (A,B)= , {3, 4, 5}, {1, 4} [4*P^2*x^8+4*P*x^7+2*P^2*x^5+4*P*x^6-6*P^2*x^4+x^6+3*P^2*x^3+5*P*x^4+2*x^5+2*P^ 2*x^2-4*P*x^3+x^4-3*P^2*x-2*P*x^2+2*x^3+P^2+4*P*x+x^2-2*P-x+1, ((-x^3-x^2)*C+x^ 3+x^2+1)/((2*x^4-x^2)*C-2*x^4-x+1), {4*n*(n-4)*a(n)+(-52*n^2+304*n-240)*a(n-1)+ (254*n^2-1916*n+2688)*a(n-2)+(-574*n^2+5296*n-10320)*a(n-3)+(512*n^2-6092*n+ 15888)*a(n-4)+(363*n^2-2067*n+978)*a(n-5)+(-1355*n^2+14243*n-36282)*a(n-6)+( 1212*n^2-14262*n+40068)*a(n-7)+(-163*n^2+721*n+5754)*a(n-8)+(-462*n^2+5976*n-\ 18744)*a(n-9)+(408*n^2+240*n-34728)*a(n-10)+(-240*n^2-1524*n+35448)*a(n-11)+( 252*n^2-6660*n+46872)*a(n-12)+(-260*n^2+10268*n-86568)*a(n-13)+(96*n^2-3432*n+ 28080)*a(n-14)+(-88*n^2+2104*n-12528)*a(n-15)+16*(n-10)*(n-9)*a(n-16)+160*(2*n-\ 27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 25, a(8) = 48, a(9) = 100, a(10) = 231, a(11) = 591, a(12) = 1658, a(13) = 5001, a(14) = 15906, a(15) = 52522, a(16) = 178111, a(17) = 615873}, [1 , 2, 3, 5, 8, 14, 25, 48, 100, 231, 591, 1658, 5001, 15906, 52522, 178111, 615873, 2161241, 7673040, 27500854, 99349441, 361344361, 1321976009, 4861400772 , 17958969081, 66615167012, 248004399370, 926380019691, 3470823521799, 13039971415823, 49115988375110, 185431928360609, 701592191049586, 2659838688736870, 10102646370943449, 38438775274769428, 146490387888748076, 559125492280776891, 2137123154284943515, 8179618440727621031, 31346289330649850138, 120270198795413437885, 461977102545428785198, 1776427123018182491244, 6837776147404830564963, 26345153592321796310297, 101597830750070230347831, 392145225887693285281654, 1514853092460040718313187, 5856507475895712429566796], 503577297113634560539650302025888672340463546891903\ 7589507473962760504860565099587908875679692170214060788402390002099801879586392\ 9606512950502220656501564057445330293417587489761080494363996682206828868874318\ 9205361894318254099155544338649070461723569873774860884702936136717630256202626\ 1462115733874778570531803742365883115393757366276685567153058723564743904308302\ 3259482520166661791315066169171375558383853602630248036775712152016794769339478\ 5623144726517659670591690461337960834032548076257157959279906189059954359175446\ 9723598880834147981451975052510288807979793699408414257569475352358545] ---------------------------- (A,B)= , {3, 4, 5}, {1, 5} [4*P^2*x^9+4*P^2*x^8+P^2*x^7+4*P*x^8-6*P^2*x^6+6*P*x^7-5*P^2*x^5+6*P*x^6+x^7+2* P^2*x^4-P*x^5+2*x^6+5*P^2*x^3-6*P*x^4+3*x^5-4*P*x^3+2*x^4-3*P^2*x+2*P*x^2+P^2+4 *P*x-x^2-2*P-x+1, (1+(-x^4-x^3-x^2)*C)/((2*x^5+x^4-x^2)*C-x^2-x+1), {5*n*(n-5)* a(n)+(-65*n^2+445*n-360)*a(n-1)+(303*n^2-2613*n+3804)*a(n-2)+(-548*n^2+5782*n-\ 11796)*a(n-3)+(13*n^2-989*n+3744)*a(n-4)+(957*n^2-11763*n+32796)*a(n-5)+(-120*n ^2+3384*n-14064)*a(n-6)+(-1363*n^2+20069*n-72180)*a(n-7)+(-294*n^2+378*n+11424) *a(n-8)+(1636*n^2-27170*n+113796)*a(n-9)+(686*n^2-9490*n+33360)*a(n-10)+(-919*n ^2+24515*n-156960)*a(n-11)+(-1050*n^2+15474*n-51672)*a(n-12)+(482*n^2-17530*n+ 146352)*a(n-13)+(580*n^2-13100*n+77760)*a(n-14)+(-316*n^2+13100*n-121296)*a(n-\ 15)+(-532*n^2+17432*n-142608)*a(n-16)+(144*n^2-4584*n+36720)*a(n-17)+48*(n-16)* (9*n-148)*a(n-18)+160*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3 , a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 24, a(8) = 44, a(9) = 84, a(10) = 173, a(11) = 386, a(12) = 946, a(13) = 2532, a(14) = 7322, a(15) = 22499, a(16) = 72353, a(17) = 240532, a(18) = 819391, a(19) = 2842930}, [1, 2, 3, 5, 8, 14, 24 , 44, 84, 173, 386, 946, 2532, 7322, 22499, 72353, 240532, 819391, 2842930, 10004431, 35605644, 127896033, 462973384, 1687032826, 6182679019, 22772470675, 84251028461, 312943436306, 1166564879256, 4362717313396, 16363787020183, 61543110126305, 232032137003668, 876810406420536, 3320302249650751, 12597886242016574, 47885795981343594, 182327259189969532, 695319667999431401, 2655597007718461200, 10156528763463196962, 38895392442808418156, 149137922013427435532, 572512794339725062089, 2200199376066687986155, 8464344829498744121418, 32595363214486995524385, 125639998855610193396672, 484718600480540490144149, 1871641143342718974063031], 1532356319869477174243382\ 7784615676645957099437674217235487724487644130034892418870266688603356928850705\ 3517794358625456446424281568429831209018867792377664871963240432222622717981811\ 2188328694249327500582969151138232253399375771377244101262313253948838330104220\ 9451401694180577611600764130232967183887698989115883287665731967390980558090657\ 5104721105273099575288387742385808331675918130488794017405305915943286859226635\ 2069652142422334530300303034369261261742808152050647135064001678283146225654093\ 6754939888031302283020168540737275122905435932765684533177895783536936120373546\ 23915550293022637] ---------------------------- (A,B)= , {3, 4, 5}, {2, 3} [P^2*x^7-2*P*x^7-4*P^2*x^5+x^7-2*P^2*x^4+6*P*x^5+8*P^2*x^3+2*P*x^4-2*x^5+3*P^2* x^2-11*P*x^3-7*P^2*x+4*x^3+2*P^2+10*P*x-x^2-4*P-3*x+2, ((x^4-x^2+x)*C-x^4+x^2-1 )/((x^4-2*x^2+x)*C-x^4+2*x^2+x-1), {-6*n*(n-3)*a(n)+(83*n^2-399*n+304)*a(n-1)+( -428*n^2+2793*n-3736)*a(n-2)+(976*n^2-8097*n+15008)*a(n-3)+(-739*n^2+8223*n-\ 20432)*a(n-4)+(-637*n^2+4767*n-8192)*a(n-5)+(1081*n^2-12795*n+37808)*a(n-6)+(-\ 12*n^2+3366*n-22812)*a(n-7)+(-296*n^2+1527*n+6980)*a(n-8)+(118*n^2-4458*n+30512 )*a(n-9)+(-359*n^2+11037*n-75592)*a(n-10)+(-31*n^2+531*n-1496)*a(n-11)+(368*n^2 -9852*n+65344)*a(n-12)+(21*n^2-321*n+612)*a(n-13)+(-146*n^2+3954*n-26656)*a(n-\ 14)-3*(5*n-56)*(n-15)*a(n-15)+14*(n-16)*(2*n-25)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 154, a(9) = 354, a(10) = 857, a(11) = 2199, a(12) = 5996, a(13) = 17336, a(14) = 52814, a(15) = 168090, a(16) = 553973}, [1, 2, 4, 8, 16, 33, 70, 154, 354, 857, 2199, 5996, 17336, 52814, 168090, 553973, 1875864, 6485811, 22788793, 81088923, 291464595, 1056310370, 3854648734, 14148735421, 52196892438, 193416552449, 719524185068, 2686086623566, 10059290103904, 37779848237077, 142262245559907, 536983939111106 , 2031386889001198, 7700361137996409, 29245044811376943, 111265078800522962, 424013294082005743, 1618332756708812119, 6185604414727206793, 23674701808062985620, 90727814112719315649, 348111547239484785003, 1337179210190598301302, 5141946083485712065201, 19792823635125595584078, 76261936086158405033788, 294108061071231388190185, 1135235015472878764332654, 4385574305270696286692698, 16955568650471094296239175], 14639302624066270450338\ 3046370975723376833395215610698518661339318369551415975360853634830150771003599\ 8774850511884864312935338758065412059879601902192308229235762973178704388477897\ 8472958593760013431694433606073339139344139242664054399621196001483535622367273\ 4518103041861603134389823642614965666669543602530479603521789762629519226171699\ 0916924497310037675184525659895084826227365937696112045775110369803753126723782\ 6136572203584038586137186648809527246148751200246240983680807380817273768906238\ 7927435803050179547866298125014412573848794985205781618025779514487124283969515\ 28736833337189829089] ---------------------------- (A,B)= , {3, 4, 5}, {2, 4} [P^2*x^8-4*P^2*x^7-2*P*x^8+6*P^2*x^6+6*P*x^7+x^8-8*P^2*x^5-8*P*x^6-2*x^7+13*P^2 *x^4+12*P*x^5+3*x^6-13*P^2*x^3-17*P*x^4-4*x^5+10*P^2*x^2+18*P*x^3+6*x^4-5*P^2*x -14*P*x^2-6*x^3+P^2+8*P*x+5*x^2-2*P-3*x+1, ((x^4-x^3+x^2)*C-x^4+x^3-x^2+x-1)/(( x^4-2*x^3+x^2)*C-x^4+2*x^3-x^2+2*x-1), {-4*n*(n-4)*a(n)+(66*n^2-378*n+300)*a(n-\ 1)+(-460*n^2+3370*n-4740)*a(n-2)+(1821*n^2-16035*n+30918)*a(n-3)+(-4715*n^2+ 47963*n-114462)*a(n-4)+(8767*n^2-100051*n+278466)*a(n-5)+(-12388*n^2+154918*n-\ 481824)*a(n-6)+(13566*n^2-181116*n+603528)*a(n-7)+(-11470*n^2+154804*n-507060)* a(n-8)+(7073*n^2-80345*n+153270)*a(n-9)+(-2039*n^2-14413*n+348090)*a(n-10)+(-\ 2014*n^2+92914*n-782148)*a(n-11)+(4150*n^2-131314*n+982260)*a(n-12)+(-4361*n^2+ 127451*n-921954)*a(n-13)+(3352*n^2-96286*n+691260)*a(n-14)+(-2125*n^2+61741*n-\ 447474)*a(n-15)+(1102*n^2-33154*n+247932)*a(n-16)+(-374*n^2+11726*n-91116)*a(n-\ 17)+28*(n-18)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5 ) = 16, a(6) = 33, a(7) = 70, a(8) = 153, a(9) = 347, a(10) = 822, a(11) = 2047 , a(12) = 5384, a(13) = 14975, a(14) = 43927, a(15) = 135098, a(16) = 432368, a (17) = 1428979, a(18) = 4844200}, [1, 2, 4, 8, 16, 33, 70, 153, 347, 822, 2047, 5384, 14975, 43927, 135098, 432368, 1428979, 4844200, 16751215, 58836601, 209235487, 751581499, 2722075443, 9927239001, 36418192490, 134284285682, 497365027663, 1849469510399, 6901743184044, 25837935689622, 97009709966467, 365191261647675, 1378089947764031, 5211984708828686, 19752564279877773, 75002100838661323, 285295479998374640, 1087015829357543655, 4148103457538558324 , 15852354192616387970, 60663870585143581956, 232446903997894674729, 891749546075000909802, 3424982687732205165827, 13168717435186404599780, 50684315474776497548068, 195265717097251763929757, 752973579733244385640090, 2906132109772186261303428, 11225735221333314101099674], 93456155355617102487064\ 6742752324179700616204372476237607381945190067487059861842835879385622716956247\ 1892699298953694439653800937790204998258804162330390534769374063058925309995095\ 7333659650254427507301450551217708906475271095044947022338826908632641904526221\ 9573966309088635236956846738543731334678493023559954654795216305781113523744738\ 0439558739857537314579019457707876168761429709097666767704689461132707687879521\ 4417743492804478350658103683019861728011334177040386266175445756852856272876535\ 0635537917522007361346157526571651701938109448534215282754354808446575375397208\ 6130846525640661994] ---------------------------- (A,B)= , {3, 4, 5}, {2, 5} [P^2*x^9-4*P^2*x^8-2*P*x^9+2*P^2*x^7+6*P*x^8+x^9+6*P^2*x^6-2*P*x^7-2*x^8-P^2*x^ 5-6*P*x^6+x^7-7*P^2*x^4+3*P*x^5+2*x^6+P^2*x^3+8*P*x^4-x^5+7*P^2*x^2-4*P*x^3-2*x ^4-5*P^2*x-8*P*x^2+2*x^3+P^2+8*P*x+2*x^2-2*P-3*x+1, ((x^5-x^4+x^2)*C+x-1)/((x^5 -2*x^4-x^3+x^2)*C+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-561*n^2+ 4713*n-6912)*a(n-2)+(1969*n^2-19781*n+40272)*a(n-3)+(-3683*n^2+43423*n-111696)* a(n-4)+(2879*n^2-40939*n+129792)*a(n-5)+136*(10*n-47)*(n-6)*a(n-6)+(-3650*n^2+ 58606*n-229320)*a(n-7)+(193*n^2-14261*n+100176)*a(n-8)+(2800*n^2-45908*n+185112 )*a(n-9)+(-495*n^2+29031*n-236688)*a(n-10)+(-1479*n^2-5121*n+236832)*a(n-11)+( 221*n^2+18491*n-263832)*a(n-12)+(47*n^2+1457*n-20328)*a(n-13)+(506*n^2-23758*n+ 234456)*a(n-14)+(436*n^2-10736*n+61248)*a(n-15)+(-776*n^2+26608*n-226656)*a(n-\ 16)+(-339*n^2+9495*n-63456)*a(n-17)+(806*n^2-27190*n+228024)*a(n-18)+(-374*n^2+ 13222*n-116064)*a(n-19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3 ) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 147, a(9) = 320, a(10) = 714, a(11) = 1643, a(12) = 3925, a(13) = 9802, a(14) = 25736, a(15) = 71247, a(16) = 207790, a(17) = 635657, a(18) = 2026174, a(19) = 6680042, a(20) = 22621589}, [1, 2, 4, 8, 16, 33, 69, 147, 320, 714, 1643, 3925, 9802, 25736, 71247, 207790, 635657, 2026174, 6680042, 22621589, 78230040, 274999488, 979226559, 3522907759, 12780650691, 46689398880, 171565454801, 633620324972, 2350366058860, 8752359023110, 32705118549581, 122590389038847, 460808318145493, 1736597703962340, 6559940444693167, 24833682351086483, 94200148008468875, 357987786761677234, 1362808564055299743, 5196384377565859295, 19843682170805650353, 75885188295714398597, 290581868876458923130, 1114097153907883842937, 4276514170363501202425, 16433909775708691222593, 63219367778849382748610, 243441072386888974210552, 938317970012783718916652, 3619914928179979256249555], 286921618236859018916510979349933275895362057780099\ 2379906381647425937523790805818505047523578047536559702677656779815060023875089\ 1933087203903571676271748724652623543132146717157375654789265545038951892749351\ 0650921735036605736379424016627983406522804330576171197192994956052997767667901\ 7294465740170302288007612444665592266574091581625107926235544305162856664248383\ 1214506593791036891839267936241617676633425724705093934989777312344156790801607\ 7726263045158185046910161672351236484864918955590867420582544477508405585991728\ 2797065782541517218230331020876979176716239180898036938955842926000775] ---------------------------- (A,B)= , {3, 4, 5}, {3, 4} [P^2*x^8-2*P^2*x^7+P^2*x^6+2*P*x^7+4*P^2*x^5-2*P*x^6-8*P^2*x^4-2*P*x^5+x^6+5*P^ 2*x^3+9*P*x^4+3*P^2*x^2-8*P*x^3-2*x^4-4*P^2*x-2*P*x^2+3*x^3+P^2+6*P*x-2*P-2*x+1 , (-C*x^3+x^3-x+1)/((x^4-x^3)*C-x^4+x^3-2*x+1), {4*n*(n-4)*a(n)+(-59*n^2+341*n-\ 270)*a(n-1)+(336*n^2-2514*n+3540)*a(n-2)+(-899*n^2+8285*n-16182)*a(n-3)+(937*n^ 2-10933*n+27846)*a(n-4)+(678*n^2-4740*n+7128)*a(n-5)+(-2742*n^2+30558*n-84780)* a(n-6)+(2462*n^2-30104*n+91140)*a(n-7)+(-144*n^2+1134*n-396)*a(n-8)+(-1270*n^2+ 16384*n-47220)*a(n-9)+(935*n^2-10805*n+19866)*a(n-10)+(-388*n^2+7252*n-36600)*a (n-11)+(364*n^2-12316*n+94800)*a(n-12)+(-327*n^2+11007*n-85878)*a(n-13)+(64*n^2 -2380*n+20208)*a(n-14)+(141*n^2-3873*n+26466)*a(n-15)+(-126*n^2+3594*n-25500)*a (n-16)+20*(2*n-27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 153, a(9) = 346, a(10) = 815, a(11) = 2013, a(12) = 5241, a(13) = 14416, a(14) = 41828, a(15) = 127389, a(16) = 404378, a(17) = 1327852}, [1, 2, 4, 8, 16, 33, 70, 153, 346, 815, 2013, 5241, 14416, 41828, 127389, 404378, 1327852, 4479159, 15431483, 54051271, 191819665, 687942658, 2488582725, 9067124194, 33237706950, 122481403753, 453417179394, 1685319893270, 6286853805207, 23528438546322, 88313766154322, 332372848182828, 1253967712076834, 4741604815850123, 17966665132199381, 68209731230106052, 259419676882640123, 988290012515561683, 3770885771425855923, 14409105305723010899, 55134893298825241711, 211240256132436772455, 810317640133452984844, 3111952336342451489857, 11964171186328187768853, 46044684979344836167701, 177378387116666039587296, 683951085357439353342064, 2639568462900120098365654, 10195444751799318164727236], 84706157048036849743666\ 2467747789965958805502917270102197987088057902609162682378771145666354807400022\ 2174548596294993189239575791722532518261072159261599137620614843729017713469638\ 1564222064846364117833455334037615358948998151233863342651368281043051482188888\ 8169914684096989241834908059371043742537547810725529730466199181779932501519186\ 6184124994091856049379487605042335213035303102409160891010836705453197356833109\ 6896256296839579297849282837823428029716993728281997380224653963901868091480057\ 9735402328070244083885128364600287160848224767320892785224420966064781440590319\ 3598204765545443128] ---------------------------- (A,B)= , {3, 4, 5}, {3, 5} [P^2*x^9-2*P^2*x^8+5*P^2*x^7+2*P*x^8-6*P^2*x^6-4*P*x^7+4*P^2*x^5+8*P*x^6+x^7-P^ 2*x^4-7*P*x^5-2*x^6-4*P^2*x^3+2*P*x^4+3*x^5+8*P^2*x^2+4*P*x^3-x^4-5*P^2*x-10*P* x^2-x^3+P^2+8*P*x+3*x^2-2*P-3*x+1, ((-x^4+x^3-x^2)*C-x+1)/((x^5-x^4+2*x^3-x^2)* C-2*x+1), {5*n*(n-5)*a(n)+(-83*n^2+559*n-456)*a(n-1)+(569*n^2-4771*n+6996)*a(n-\ 2)+(-2101*n^2+20963*n-42612)*a(n-3)+(4564*n^2-52760*n+134712)*a(n-4)+(-5899*n^2 +77999*n-238464)*a(n-5)+(4030*n^2-62390*n+226680)*a(n-6)+(66*n^2+9306*n-66684)* a(n-7)+(-3610*n^2+40772*n-99192)*a(n-8)+(4901*n^2-57415*n+129036)*a(n-9)+(-3895 *n^2+39989*n-24468)*a(n-10)+(1958*n^2-12202*n-87108)*a(n-11)+(-703*n^2+635*n+ 80136)*a(n-12)+(482*n^2-8476*n+35892)*a(n-13)+(-714*n^2+20676*n-150624)*a(n-14) +(868*n^2-26486*n+201516)*a(n-15)+(-716*n^2+22318*n-173760)*a(n-16)+(403*n^2-\ 12755*n+100872)*a(n-17)-30*(5*n-76)*(n-17)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8 ) = 147, a(9) = 319, a(10) = 709, a(11) = 1622, a(12) = 3847, a(13) = 9528, a( 14) = 24802, a(15) = 68106, a(16) = 197265, a(17) = 600289, a(18) = 1906522, a( 19) = 6271624}, [1, 2, 4, 8, 16, 33, 69, 147, 319, 709, 1622, 3847, 9528, 24802 , 68106, 197265, 600289, 1906522, 6271624, 21213625, 73327130, 257759318, 918051195, 3304019891, 11991563434, 43825570425, 161109236541, 595238327676, 2208800076487, 8227970226081, 30755164809727, 115314102593566, 433570679750223, 1634343502272755, 6175048986016225, 23381412764739801, 88708209752816348, 337176424182436729, 1283794035262707261, 4895854961490976350, 18698726679345769439, 71516360164866643236, 273887357847848627555, 1050215461518013920360, 4031755481127509771549, 15494993444840052058290, 59613469226993480701806, 229577628886268279755946, 884962981179554526260929, 3414372032802446250025853], 271515588860424320609833646575159243631469223288326\ 6889424787421244059420503215897342856683567984498919230461952923472608460790611\ 9076939507053944731912921764106067695105280499557928502441168020368902372253207\ 1793165999214055563984620061207095396497069642319838668283724785566744821019832\ 7455153970520873749471539887536704007027522924083533622129101078855795209877422\ 6687996502103116274476277157868558683683720518849533630616119269979017100704615\ 5512561188607975767707988930112691778495095401640780024335544357096315014853952\ 1133251329439553783998442807135882034453550733387837898515295496418808] ---------------------------- (A,B)= , {3, 4, 5}, {4, 5} [P^2*x^9+2*P^2*x^8-P^2*x^7-2*P^2*x^6+2*P*x^7-P^2*x^5+2*P*x^6-P^2*x^4-P*x^5+3*P^ 2*x^3+x^5+3*P^2*x^2-4*P*x^3-4*P^2*x-2*P*x^2+x^3+P^2+6*P*x-2*P-2*x+1, (-C*x^3-x+ 1)/((x^5+x^4-x^3)*C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(424*n^2 -3602*n+5268)*a(n-2)+(-1157*n^2+11797*n-24000)*a(n-3)+(1384*n^2-16766*n+43452)* a(n-4)+(-86*n^2+2476*n-10020)*a(n-5)+(-1123*n^2+15617*n-52284)*a(n-6)+(448*n^2-\ 7130*n+28092)*a(n-7)+(130*n^2-3590*n+19440)*a(n-8)+(128*n^2-2950*n+15012)*a(n-9 )+(336*n^2-936*n-19320)*a(n-10)+(-409*n^2+5627*n-14148)*a(n-11)+(-200*n^2+1540* n+4680)*a(n-12)+(162*n^2-2682*n+9960)*a(n-13)+(68*n^2-1096*n+3648)*a(n-14)-6*(7 *n-103)*(n-16)*a(n-15)-36*(n-14)*(n-16)*a(n-16)+6*(7*n-103)*(n-16)*a(n-17)+12*( 2*n-29)*(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 146, a(9) = 314, a(10) = 689, a(11) = 1550, a(12) = 3600, a(13) = 8703, a(14) = 22074, a(15) = 59091, a(16) = 167310, a(17) = 499849, a(18) = 1566040}, [1, 2, 4, 8, 16, 33, 69, 146, 314, 689, 1550, 3600, 8703, 22074, 59091, 167310, 499849, 1566040, 5103965, 17163135, 59123779, 207458235, 738313745, 2656652956, 9643452950, 35255412437, 129657007753, 479243575206, 1779145434842, 6630260582610, 24792993595069, 92994112641198, 349771253826894, 1318889044246928, 4984668513429430, 18879418290266722, 71646580607060673, 272392528744553659, 1037368126628674157, 3956940075536723833 , 15115785519282651343, 57823810921598121350, 221488516235362612332, 849437134740982435756, 3261494611020340231449, 12536602946509304616877, 48238688849880209458141, 185797630448897469067134, 716295669689546229690882, 2763961537390733069713870], 220877538426991254160411908921166478988030828160739\ 6534223207297506171106234007389582946171999003984550442145087116849091724059282\ 7117262356443251958477000956932283014294280512816350357068968718272620312941090\ 7194873748933300359893546596879944501046718568591520151366770068478836549938250\ 4754491880654813053871723456251531615812049759375772196049564206211248277744351\ 8354520661522779096905998694839968783083920815948832065792610396635752363848962\ 1846695912549013131205867667051749838888462609610382254828202458948925357654911\ 8197975083092160384028727218836991730840065300529844636282691712028630] ---------------------------- (A,B)= , {3, 4, 5}, {1, 2, 3} [P^2*x^9-2*P^2*x^7-4*P^2*x^6+2*P^2*x^5+7*P^2*x^4-2*P*x^5+2*P^2*x^3-2*P*x^4-4*P^ 2*x^2+3*P*x^3-3*P^2*x+6*P*x^2+2*P^2+2*P*x-4*P+x+2, (C*x-x-1)/((x^5-x^3-x^2+x)*C -x^5+x^3+2*x^2-1), {-12*n*(n-3)*a(n)+(126*n^2-630*n+480)*a(n-1)+(-392*n^2+2718* n-3640)*a(n-2)+(173*n^2-1857*n+3580)*a(n-3)+(684*n^2-5952*n+12336)*a(n-4)+(-122 *n^2+2820*n-9856)*a(n-5)+(-1053*n^2+10353*n-25020)*a(n-6)+(-214*n^2-318*n+8752) *a(n-7)+(878*n^2-9174*n+22024)*a(n-8)+(296*n^2-1992*n-728)*a(n-9)+(-224*n^2+ 3174*n-9832)*a(n-10)+(-143*n^2-153*n+9980)*a(n-11)+(66*n^2-1398*n+7632)*a(n-12) +(-14*n^2+966*n-7672)*a(n-13)+(-40*n^2+948*n-5504)*a(n-14)-6*(n-9)*(n-12)*a(n-\ 15)+12*(2*n-21)*(n-12)*a(n-16) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5 ) = 8, a(6) = 14, a(7) = 25, a(8) = 49, a(9) = 105, a(10) = 252, a(11) = 672, a (12) = 1960, a(13) = 6108, a(14) = 19940, a(15) = 67207, a(16) = 231653}, [1, 2 , 3, 5, 8, 14, 25, 49, 105, 252, 672, 1960, 6108, 19940, 67207, 231653, 811637, 2879416, 10317053, 37269269, 135561980, 496021671, 1824374648, 6740880915, 25008844004, 93124746952, 347919354928, 1303776744899, 4899206582382, 18456413441671, 69691700109261, 263724354528541, 999969220128461, 3798650404981158, 14455185976525675, 55096054125975572, 210317439243464694, 803984547383800530, 3077521026155548849, 11795103436450282355, 45260484890616258119, 173870228530704399779, 668642418474308926626, 2573957796907793251613, 9918035277617577122573, 38251297332151217963946, 147653593746850069025160, 570428977277245670863060, 2205476459361233246939059, 8533579757445775585437117], 760084020714767113611712358929319842458285513726593\ 9867992553419036538893727557976016491864439319999967377283147645982303405789954\ 6894953077792177208166164757714823330912843985300528023312409067565566520608335\ 5178702321781374363077142243796964111357156784071885980933099507186150428594994\ 3208696252171583651856012766760834244726362774970741918482269041953305108772111\ 8523446760378579067445910726084864275243602637635063496773171298113660263645694\ 3558566991422672471400855546931366975990295772770717441949451764556527324213571\ 2076327169724870762606090955630791678075606924570057560411400370621154] ---------------------------- (A,B)= , {3, 4, 5}, {1, 2, 4} [P^2*x^10-2*P^2*x^9-P^2*x^8+2*P^2*x^7-2*P*x^7+4*P^2*x^5+2*P*x^6-3*P^2*x^4-P^2*x ^3+3*P*x^4+3*P^2*x^2+2*P*x^3+x^4-3*P^2*x-4*P*x^2+P^2+4*P*x+2*x^2-2*P-x+1, (C*x^ 2-x^2-1)/((x^5-x^4-x^3+x^2)*C-x^5+x^4+x^3+x-1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+ 240)*a(n-1)+(-260*n^2+1952*n-2736)*a(n-2)+(657*n^2-5937*n+11490)*a(n-3)+(-949*n ^2+10165*n-25122)*a(n-4)+(730*n^2-9844*n+31020)*a(n-5)+(72*n^2+2142*n-15360)*a( n-6)+(-827*n^2+7601*n-13470)*a(n-7)+(862*n^2-9220*n+19188)*a(n-8)+(-492*n^2+ 2922*n+12144)*a(n-9)+(121*n^2+2711*n-38934)*a(n-10)+(122*n^2-2498*n+20964)*a(n-\ 11)+(-128*n^2-1588*n+22296)*a(n-12)+(24*n^2+4062*n-44256)*a(n-13)+(52*n^2-3304* n+30744)*a(n-14)+(-108*n^2+2922*n-19416)*a(n-15)+(102*n^2-2970*n+21540)*a(n-16) +3*(23*n-245)*(n-14)*a(n-17)+(-126*n^2+3594*n-25500)*a(n-18)+20*(2*n-27)*(n-16) *a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 25, a(8) = 48, a(9) = 100, a(10) = 230, a(11) = 585, a(12) = 1631, a(13) = 4893, a(14) = 15498, a(15) = 51026, a(16) = 172700, a(17) = 596398, a(18) = 2091154, a(19) = 7420177}, [1, 2, 3, 5, 8, 14, 25, 48, 100, 230, 585, 1631, 4893, 15498, 51026, 172700, 596398, 2091154, 7420177, 26585093, 96018540, 349174779, 1277320154, 4696858884, 17350335101, 64355736898, 239588725162, 894937506792, 3353013217870, 12597388116596, 47449244436420, 179140792367285, 677796028544912, 2569652463196869, 9760215854108609, 37136351372647694, 141528657335301018, 540194547417895354, 2064791110902416989, 7902877883233709536, 30286143140229988089, 116204085891445179192, 446364113088928315843, 1716412095484693725091, 6606847645292379338968, 25455713572552209892432, 98168913680651569063091, 378914626988051337095528, 1463759486577699474826111, 5659037241931441982644132], 486889511291962609321575\ 7997688440911817559234186309022885249299693714336576344845204603341803621819710\ 5765009080428990751108624165825630147487006501412787399053170565636092252514663\ 3393170520043045976024561705875212612148243221777860516151176601176556065108760\ 8563251453957297358066842458181039589962845198184618342098633844730711318409485\ 1587183720977614036713756002160334412220859848555696077109840112010673074646049\ 2706205183542983237880703775393212122138192285301543939992162321815327312757621\ 8361032932879662412040045031748570546279625531816741323558473099729441593242126\ 137157133314793600] ---------------------------- (A,B)= , {3, 4, 5}, {1, 2, 5} [P^2*x^11-2*P^2*x^10-3*P^2*x^9+4*P^2*x^8+7*P^2*x^7-2*P*x^8-2*P^2*x^6-8*P^2*x^5+ 6*P*x^6+5*P*x^5+6*P^2*x^3-4*P*x^4+x^5-6*P*x^3+2*x^4-3*P^2*x+2*P*x^2+x^3+P^2+4*P *x-x^2-2*P-x+1, (-1+(x^3+x^2)*C)/((x^6-x^5-2*x^4+x^2)*C+x^2+x-1), {-5*n*(n-5)*a (n)+(65*n^2-445*n+360)*a(n-1)+(-303*n^2+2613*n-3804)*a(n-2)+(541*n^2-5729*n+ 11700)*a(n-3)+6*(12*n+77)*(n-4)*a(n-4)+(-1302*n^2+15798*n-44280)*a(n-5)+(526*n^ 2-9590*n+36336)*a(n-6)+(1943*n^2-25993*n+86064)*a(n-7)+(-995*n^2+19849*n-90840) *a(n-8)+(-2239*n^2+31697*n-110316)*a(n-9)+(950*n^2-22780*n+127152)*a(n-10)+( 1960*n^2-27170*n+79668)*a(n-11)+(-572*n^2+15898*n-101064)*a(n-12)+(-1161*n^2+ 14487*n-21732)*a(n-13)+(456*n^2-11784*n+79608)*a(n-14)+(205*n^2+571*n-40104)*a( n-15)+(-420*n^2+11994*n-87576)*a(n-16)+(123*n^2-5259*n+50448)*a(n-17)+(306*n^2-\ 9504*n+74184)*a(n-18)+(-97*n^2+3221*n-26784)*a(n-19)+(-102*n^2+3366*n-27624)*a( n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a (5) = 8, a(6) = 14, a(7) = 24, a(8) = 44, a(9) = 84, a(10) = 172, a(11) = 382, a(12) = 930, a(13) = 2476, a(14) = 7133, a(15) = 21874, a(16) = 70290, a(17) = 233688, a(18) = 796454, a(19) = 2765140, a(20) = 9737344, a(21) = 34677768}, [1 , 2, 3, 5, 8, 14, 24, 44, 84, 172, 382, 930, 2476, 7133, 21874, 70290, 233688, 796454, 2765140, 9737344, 34677768, 124637474, 451418051, 1645700709, 6033707060, 22231908100, 82277806874, 305702322146, 1139866345730, 4263859667767, 15996342104244, 60172617680773, 226904377258452, 857569435134413 , 3247913515958758, 12324882632408420, 46853893898915160, 178418764623944124, 680487064642407398, 2599206675449171168, 9941785464724943239, 38076332698309760641, 146009320783596925989, 560545801583053814213, 2154365673799687602178, 8288585715065124222948, 31920595404063199315696, 123046611432835716130391, 474740862972077319366600, 1833215125784815076979682], 1503959124466014575626643970846479220888305428414537908124633102018860528700080\ 5760760875625167967498929705148545922624307647846210575012438456562495112932948\ 1481056275812312137251966033605060907744467853491397741416996639538242058597434\ 8477348814538320744419970389291154831776499012809450367129439125075704556369528\ 1647288329959469494629419004238494118868216742807639405616178494577233315737017\ 5928332399087815468833839581308916511843368806747326553656521756540458396622111\ 6535514616249246579538052706009937303111218431169202745392906290074131068616127\ 445258871197425202329679709266664204510831] ---------------------------- (A,B)= , {3, 4, 5}, {1, 3, 4} [P^2*x^8-2*P^2*x^7+3*P^2*x^6+2*P*x^7-P^2*x^5-2*P*x^6-3*P^2*x^4+2*P*x^5+x^6+6*P^ 2*x^3+3*P*x^4-2*P^2*x^2-6*P*x^3-2*P^2*x+4*P*x^2+2*x^3+P^2+2*P*x-x^2-2*P+1, (-C* x^3+x^3+1)/((x^4-x^3)*C-x^4+x^3-x^2-x+1), {4*n*(n-4)*a(n)-3*(15*n-14)*(n-5)*a(n -1)+4*(40*n-73)*(n-6)*a(n-2)+(-107*n^2+1223*n-2478)*a(n-3)+(-498*n^2+4386*n-\ 9300)*a(n-4)+(1001*n^2-10475*n+26610)*a(n-5)+(-287*n^2+2969*n-7326)*a(n-6)+(-\ 909*n^2+12039*n-40074)*a(n-7)+(1107*n^2-14367*n+46086)*a(n-8)+(-432*n^2+4782*n-\ 10296)*a(n-9)+(-56*n^2+104*n+5640)*a(n-10)+(20*n^2+4060*n-46272)*a(n-11)+(31*n^ 2-4639*n+48918)*a(n-12)+(117*n^2-1665*n+3234)*a(n-13)+(-248*n^2+6500*n-42648)*a (n-14)+(237*n^2-6609*n+45954)*a(n-15)+(-126*n^2+3594*n-25500)*a(n-16)+20*(2*n-\ 27)*(n-16)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 25, a(8) = 48, a(9) = 99, a(10) = 225, a(11) = 564, a(12) = 1551, a(13) = 4600, a(14) = 14446, a(15) = 47273, a(16) = 159316, a(17) = 548524}, [1 , 2, 3, 5, 8, 14, 25, 48, 99, 225, 564, 1551, 4600, 14446, 47273, 159316, 548524, 1919130, 6798855, 24329203, 87786367, 318990866, 1166159430, 4285812386 , 15824700331, 58673785810, 218360631212, 815398113229, 3054190551800, 11471961892835, 43200956325843, 163070141244305, 616882786279928, 2338344263112008, 8880344448220556, 33784005221583093, 128736704002323878, 491313117273375604, 1877751321946727829, 7186282172088514222, 27537399559914521117, 105648406241738476583, 405784825994883144555, 1560253786732907124310, 6005332946698178108468, 23136571063826254220500, 89219600711124740518828, 344351314559214402104296, 1330165181312483807459386, 5142273447577622296477681], 441592042685015365651762730273031501343483045095833\ 3539668966098627474554265456898772240086943984851675810608218845312268826950548\ 4035272729100180381648959477087555766816672501747369022360043581422251857120577\ 0570131559904365981188626894396513947445827355695561122190713154918477783543951\ 3938285461128705265196675427354934917432424163835152788888740035498892177661883\ 5454228672825012138393261112478559111255888646045750249022263532113810404860892\ 2825642688880815340802889629284626936396147628102384406027427873724908792638183\ 6261170013448062844871747274282641938101164345436197058356623620174514] ---------------------------- (A,B)= , {3, 4, 5}, {1, 3, 5} [P^2*x^9+2*P^2*x^7+2*P*x^8-3*P^2*x^6+4*P*x^6+x^7-P^2*x^4-3*P*x^5+3*P^2*x^3+2*x^ 5+P^2*x^2-2*P*x^3-3*P^2*x+P^2+4*P*x-2*P-x+1, (1+(-x^4-x^2)*C)/((x^5+x^3-x^2)*C- x^2-x+1), {5*n*(n-5)*a(n)+(-65*n^2+445*n-360)*a(n-1)+(311*n^2-2671*n+3888)*a(n-\ 2)+(-645*n^2+6675*n-13584)*a(n-3)+(409*n^2-5423*n+14952)*a(n-4)+(470*n^2-4828*n +10872)*a(n-5)+(-736*n^2+9464*n-28596)*a(n-6)+(291*n^2-2853*n+6036)*a(n-7)+(-\ 412*n^2+2312*n+5844)*a(n-8)+(621*n^2-5331*n-60)*a(n-9)+(-154*n^2-898*n+24204)*a (n-10)+(-85*n^2+4391*n-37392)*a(n-11)+(-104*n^2+1468*n-6084)*a(n-12)+(122*n^2-\ 4384*n+37560)*a(n-13)+(-57*n^2+2193*n-18888)*a(n-14)+(103*n^2-3089*n+23076)*a(n -15)+(-164*n^2+5398*n-44160)*a(n-16)+3*(n-16)*(33*n-541)*a(n-17)-2*(11*n-156)*( n-17)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4 ) = 5, a(5) = 8, a(6) = 14, a(7) = 24, a(8) = 44, a(9) = 83, a(10) = 169, a(11) = 370, a(12) = 891, a(13) = 2347, a(14) = 6715, a(15) = 20504, a(16) = 65760, a (17) = 218492, a(18) = 744781, a(19) = 2587065}, [1, 2, 3, 5, 8, 14, 24, 44, 83 , 169, 370, 891, 2347, 6715, 20504, 65760, 218492, 744781, 2587065, 9116219, 32487777, 116842293, 423439541, 1544544773, 5665624739, 20884929569, 77323722322, 287399435853, 1071972552737, 4011090399745, 15052161405091, 56635128765010, 213614133922500, 807511716175498, 3058930240222359, 11609870235952832, 44143242396238982, 168123371916252844, 641315884350964258, 2449928721052882983, 9372034032522017474, 35898645617330474279, 137674639340284098820, 528605986514731412351, 2031820880153400967514, 7817881434970502258281, 30110646817475637836728, 116079942828317980144583, 447899614145870686915311, 1729706056831665466459426], 1423500740604986300915585\ 7508577622486552226110241516473012537696929876062507676339614852162046691681568\ 1474576001478995933922194375928814622153388407845270057138993017146218412566582\ 5908904874199065458540368633519364000127109909982901552344143022308966356059443\ 7566634238712322849419648396219487621607426254620365054245638246884242356766562\ 6233493309382257026153548237444274059423284211320205425807408474080458339396758\ 8307793291390420165598762204201067346157848226034487736504641160191762091421291\ 0327191264583275366386383099094620431434182399483743170936059580043369204146058\ 68925428726081004] ---------------------------- (A,B)= , {3, 4, 5}, {1, 4, 5} [4*P^2*x^9-4*P^2*x^7+4*P*x^8-2*P^2*x^6+4*P*x^7-P^2*x^5-2*P*x^6+x^7+4*P^2*x^4-3* P*x^5+2*x^6+3*P^2*x^3-4*P*x^4+x^5-2*P^2*x^2-2*P^2*x+4*P*x^2-x^3+P^2+2*P*x-x^2-2 *P+1, (1+(-x^4-x^3)*C)/((2*x^5-x^3)*C-x^2-x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-\ 6)*a(n-1)+18*(11*n-20)*(n-7)*a(n-2)+(-145*n^2+1697*n-3456)*a(n-3)+(-420*n^2+ 4440*n-10392)*a(n-4)+(399*n^2-5415*n+15624)*a(n-5)+(744*n^2-9264*n+28248)*a(n-6 )+(-480*n^2+7038*n-23976)*a(n-7)+(-690*n^2+12462*n-55416)*a(n-8)+(-222*n^2+330* n+12000)*a(n-9)+(510*n^2-12840*n+77280)*a(n-10)+(730*n^2-5270*n-18120)*a(n-11)+ (-378*n^2+10128*n-73248)*a(n-12)+(-374*n^2+2422*n+23112)*a(n-13)+(208*n^2-8552* n+79200)*a(n-14)+(208*n^2-4232*n+19728)*a(n-15)+(-88*n^2+3536*n-33120)*a(n-16)+ (-440*n^2+14056*n-112416)*a(n-17)+16*(n-12)*(n-11)*a(n-18)+160*(2*n-31)*(n-18)* a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 24, a(8) = 43, a(9) = 80, a(10) = 158, a(11) = 335, a(12) = 778, a(13) = 1988 , a(14) = 5555, a(15) = 16708, a(16) = 53121, a(17) = 175735, a(18) = 597944, a (19) = 2076074}, [1, 2, 3, 5, 8, 14, 24, 43, 80, 158, 335, 778, 1988, 5555, 16708, 53121, 175735, 597944, 2076074, 7317217, 26090300, 93893563, 340496247, 1242786622, 4561435696, 16823828153, 62319401119, 231737908885, 864727090915, 3236885263683, 12151222051298, 45735285609050, 172555702959238, 652487956448687 , 2472344786203317, 9385878359420246, 35695453968421860, 135978915602346581, 518805448294454617, 1982301833223119047, 7584539073876906835, 29056814559787993749, 111453687684255444460, 427995698436798403076, 1645341828875995620496, 6331695358327789123545, 24389802304376075532317, 94037247208243154038002, 362890325964548029739523, 1401575887412330784129107], 1158858921320425858383874888795814304466422172323717547950035824087577498678133\ 9702823226348291349848847562171063834705369648125832913324718524102046242289798\ 6744756442443385300780917067596274189670263105982682735681207956004236895951953\ 5069077946012815803780246100829038913081996448954070417003385619970862029502880\ 4156857098933744116517366386104458681615991934422672477817839725290663724024372\ 8598059460560860393478990465876401477894347770572700603644112789311629629525923\ 0476362010650810993784907784937025413657206849233472836652222828886129593395042\ 248024922449127121670879355916128589198347] ---------------------------- (A,B)= , {3, 4, 5}, {2, 3, 4} [P^2*x^8-2*P*x^8+x^8-4*P^2*x^5+4*P^2*x^4+6*P*x^5-P^2*x^3-7*P*x^4-2*x^5+4*P^2*x^ 2+2*P*x^3+3*x^4-4*P^2*x-4*P*x^2-x^3+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^4-x^4+x-1)/(C *x^4-x^4+2*x-1), {-4*n*(n-4)*a(n)+(59*n^2-341*n+270)*a(n-1)+(-342*n^2+2550*n-\ 3588)*a(n-2)+(997*n^2-9025*n+17514)*a(n-3)+(-1585*n^2+16723*n-40578)*a(n-4)+( 1550*n^2-17858*n+50052)*a(n-5)+(-1475*n^2+16445*n-45882)*a(n-6)+(1654*n^2-18586 *n+49572)*a(n-7)+(-1152*n^2+13740*n-36288)*a(n-8)+(383*n^2-4103*n+5586)*a(n-9)+ (-90*n^2-2310*n+32844)*a(n-10)+(-199*n^2+10099*n-89166)*a(n-11)+(276*n^2-9576*n +76848)*a(n-12)-4*(n-13)*(41*n-816)*a(n-13)+(334*n^2-10708*n+84432)*a(n-14)+(-\ 248*n^2+7844*n-61776)*a(n-15)+4*(n-12)*(n-16)*a(n-16)-6*(5*n-66)*(n-17)*a(n-17) +28*(n-18)*(2*n-29)*a(n-18) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 70, a(8) = 153, a(9) = 346, a(10) = 814, a(11) = 2005, a( 12) = 5199, a(13) = 14232, a(14) = 41094, a(15) = 124609, a(16) = 394149, a(17) = 1290788, a(18) = 4345803}, [1, 2, 4, 8, 16, 33, 70, 153, 346, 814, 2005, 5199 , 14232, 41094, 124609, 394149, 1290788, 4345803, 14952584, 52329398, 185609941 , 665458392, 2406810169, 8768378834, 32141440512, 118441584294, 438471157910, 1629820744568, 6080066221597, 22755533433958, 85416517561531, 321483386922427, 1212937839279274, 4586656233206549, 17380261057055629, 65986095875714351, 250972162509240650, 956143028894260877, 3648353767752568172, 13941355790188213777, 53346792300123912319, 204395634010343817247, 784084362201584250080, 3011289082609443147270, 11577468839716019480009, 44557570472396013834467, 171653722258701150224838, 661892794952600292899656, 2554495915020262848378504, 9867059254441869124158871], 820554589785270341851574\ 8801102237079132610722860721670142558320075695696165400328928441981738579505645\ 2606741269041372446796449277294363845519154000288132255593742366663905757986886\ 6711995432718797852992473235437987147223727267774804739202595168133589832251429\ 7080013077538580075441730198822117519925956762190589135257843788248654663732660\ 9825920582474514359570753136740031675078421425782788454551085730506358824031117\ 5035754646545508036012281631528684586215279980532572077488931384174114765028373\ 5474340813851142572117100891754759493068516702017048305249556791224718598928478\ 501893110343051501] ---------------------------- (A,B)= , {3, 4, 5}, {2, 3, 5} [P^2*x^9-2*P*x^9-4*P^2*x^7+x^9+2*P^2*x^6+6*P*x^7+6*P^2*x^5-4*P*x^6-2*x^7-5*P^2* x^4-7*P*x^5+2*x^6-3*P^2*x^3+8*P*x^4+2*x^5+8*P^2*x^2+2*P*x^3-3*x^4-5*P^2*x-10*P* x^2+P^2+8*P*x+3*x^2-2*P-3*x+1, ((x^5-x^3+x^2)*C+x-1)/((x^5-2*x^3+x^2)*C+2*x-1), {-5*n*(n-5)*a(n)+(83*n^2-559*n+456)*a(n-1)+(-569*n^2+4771*n-6996)*a(n-2)+(2094* n^2-20910*n+42516)*a(n-3)+(-4455*n^2+51741*n-132384)*a(n-4)+(5227*n^2-70541*n+ 218028)*a(n-5)+(-1974*n^2+35592*n-140184)*a(n-6)+(-3087*n^2+39315*n-124572)*a(n -7)+(4408*n^2-74048*n+310392)*a(n-8)+(-1014*n^2+33048*n-215268)*a(n-9)+(-1823*n ^2+15985*n+23652)*a(n-10)+(1285*n^2-20891*n+72996)*a(n-11)+(-252*n^2+17142*n-\ 172344)*a(n-12)+(420*n^2-23568*n+240216)*a(n-13)+(-126*n^2+5634*n-55752)*a(n-14 )+(-723*n^2+24729*n-208764)*a(n-15)+(502*n^2-17342*n+149256)*a(n-16)+(290*n^2-\ 9814*n+82920)*a(n-17)+(-292*n^2+10244*n-89616)*a(n-18)-6*(5*n-76)*(n-19)*a(n-19 )+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 147, a(9) = 319, a(10) = 708, a(11) = 1616, a(12) = 3820, a(13) = 9424, a(14) = 24430, a(15) = 66829, a(16) = 192968, a(17) = 585937, a(18) = 1858551, a(19) = 6110352, a(20) = 20666689}, [1, 2, 4, 8, 16, 33, 69, 147, 319, 708, 1616, 3820, 9424, 24430, 66829, 192968, 585937, 1858551, 6110352, 20666689, 71453246, 251270533, 895347576, 3223803204, 11705596829, 42797876943, 157389303110, 581686946263, 2159152436126, 8045156801571, 30078963761605, 112802804974496, 424210165701757, 1599338578862176, 6043751723306136, 22887596133971949, 86846293670622714, 330140002321066224, 1257146053929558888, 4794736729112207554, 18314323655608210412, 70052558846833695509, 268304368215598336563, 1028890072797454188093, 3950185044741620116785, 15182573905016096610493, 58415404624777683669413, 224977936115457466585545, 867284036048349906421323, 3346351907045662182629943], 2666453021382130871947646085821866487882425028503440638947056361758568031983628\ 2694143383352564705445210532347511476671269342835532770091325143583702679032194\ 3042285019830071928170054139065255330867062422181813276547966553647277784453167\ 5385108067925978257050171933272585609740873409838006812720612934450919802647913\ 0482606800642354273373571796882186613598050599311393802637145543150513688411678\ 5000569851578050555178430091705967022870528664689771132306531246664101608036217\ 2038828713233525040431041940692749200808667575768463136055140459767845446231079\ 354732779830317943716386858233873209768872] ---------------------------- (A,B)= , {3, 4, 5}, {2, 4, 5} [P^2*x^9-4*P^2*x^8-2*P*x^9+6*P^2*x^7+6*P*x^8+x^9-4*P^2*x^6-8*P*x^7-2*x^8+3*P^2* x^5+6*P*x^6+3*x^7-5*P^2*x^4-5*P*x^5-2*x^6+4*P^2*x^3+6*P*x^4+2*x^5+3*P^2*x^2-6*P *x^3-2*x^4-4*P^2*x-2*P*x^2+2*x^3+P^2+6*P*x-2*P-2*x+1, ((x^5-x^4+x^3)*C+x-1)/((x ^5-2*x^4+x^3)*C+2*x-1), {-5*n*(n-5)*a(n)+(74*n^2-502*n+408)*a(n-1)+(-424*n^2+ 3602*n-5268)*a(n-2)+(1150*n^2-11744*n+23904)*a(n-3)+(-1281*n^2+15807*n-41268)*a (n-4)+(-503*n^2+3937*n-7272)*a(n-5)+(2768*n^2-35746*n+113700)*a(n-6)+(-2741*n^2 +36679*n-122700)*a(n-7)+(1328*n^2-9154*n-9336)*a(n-8)+(-734*n^2-11192*n+156720) *a(n-9)+(361*n^2+23107*n-266472)*a(n-10)+(459*n^2-29355*n+273396)*a(n-11)+(-511 *n^2+10355*n-58464)*a(n-12)+(-508*n^2+26948*n-262680)*a(n-13)+(1418*n^2-50566*n +431856)*a(n-14)+(-1878*n^2+59874*n-476352)*a(n-15)+(2126*n^2-67156*n+530112)*a (n-16)+(-1877*n^2+61405*n-501000)*a(n-17)+(1102*n^2-37562*n+318648)*a(n-18)+(-\ 374*n^2+13222*n-116064)*a(n-19)+28*(n-20)*(2*n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 146, a(9) = 314, a(10) = 688, a(11) = 1544, a(12) = 3575, a(13) = 8611, a(14) = 21757, a(15 ) = 58036, a(16) = 163851, a(17) = 488542, a(18) = 1528909, a(19) = 4980897, a( 20) = 16750398}, [1, 2, 4, 8, 16, 33, 69, 146, 314, 688, 1544, 3575, 8611, 21757, 58036, 163851, 488542, 1528909, 4980897, 16750398, 57721738, 202634364, 721514647, 2597498295, 9433072920, 34500608537, 126927938614, 469309376062, 1742768126581, 6496354315947, 24297790374842, 91155214656984, 342917376556964, 1293258358941680, 4888530980441500, 18517827661035738, 70283156343826457, 267239699778034411, 1017852462699610264, 3882881565847294979, 14834232957881224605, 56751594939724422311, 217398788685622441684, 833814593960648827240, 3201734108298514837822, 12307702901801053478911, 47360852469300372703916, 182427185910067391709297, 703340620225230035014197, 2714113982861152767205857], 217298677540001000682858690567093866643001055002262\ 5165652547254071728050317861037663162267452596610903108717223239062734962631073\ 1036610802645556344042139436141383042165168354576024480287426878640804754598490\ 4531462925592066788484866140012617723785343653325407135797613261574635716083278\ 2962456313509204418713432209502229924374079289515552064238504150313591151201665\ 6931003275284556668487234918361620770971320334978910295406919862430992807666576\ 0216567921295962981890612649108199868472079588713917560624448873423796919059693\ 6394754714333368284720800010782091000518164809437344777375905190568795] ---------------------------- (A,B)= , {3, 4, 5}, {3, 4, 5} [P^2*x^9-2*P^2*x^8+P^2*x^7+2*P*x^8-2*P*x^7-2*P^2*x^5+x^7+3*P^2*x^4+P*x^5-P^2*x^ 3-4*P*x^4+4*P^2*x^2+2*P*x^3+x^4-4*P^2*x-4*P*x^2-x^3+P^2+6*P*x+x^2-2*P-2*x+1, (- C*x^4-x+1)/((x^5-x^4)*C-2*x+1), {5*n*(n-5)*a(n)+(-74*n^2+502*n-408)*a(n-1)+(432 *n^2-3660*n+5352)*a(n-2)+(-1275*n^2+12861*n-26112)*a(n-3)+(2065*n^2-24029*n+ 61392)*a(n-4)+(-2036*n^2+26272*n-79392)*a(n-5)+(1783*n^2-23903*n+78972)*a(n-6)+ (-1771*n^2+25085*n-88416)*a(n-7)+(1169*n^2-19009*n+76872)*a(n-8)+(-322*n^2+9728 *n-60372)*a(n-9)+(-151*n^2-6781*n+79092)*a(n-10)+(391*n^2+3217*n-75000)*a(n-11) +(-325*n^2+155*n+37296)*a(n-12)+(89*n^2+1181*n-26724)*a(n-13)+(48*n^2-3468*n+ 37752)*a(n-14)+(-2*n^2+844*n-11412)*a(n-15)+(-86*n^2+2530*n-18576)*a(n-16)+(149 *n^2-4657*n+36288)*a(n-17)+(-126*n^2+4098*n-33192)*a(n-18)+20*(2*n-31)*(n-18)*a (n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 146, a(9) = 313, a(10) = 683, a(11) = 1525, a(12) = 3509, a(13) = 8392, a(14) = 21045, a(15) = 55733, a(16) = 156373, a(17) = 464030, a(18) = 1447550, a(19) = 4707102}, [1, 2, 4, 8, 16, 33, 69, 146, 313, 683, 1525, 3509, 8392, 21045, 55733, 156373, 464030, 1447550, 4707102, 15816126, 54491377, 191329151, 681519854, 2454651698, 8918601975, 32634160651, 120113402690, 444289652158, 1650454107121, 6154256738934, 23025091752953, 86403814265822, 325122663080968, 1226422813077974, 4636843172116794, 17567747353831497, 66688817580275585, 253613798809487152, 966099610905227591, 3685971212269404925, 14083792159839152129, 53887208905567717799, 206449850800886025617, 791906317947076595823, 3041121211254324384997, 11691416863078477913122, 44993424996500797764195, 173323086455262384442424, 668294585309543197504927, 2579074772614744368390727], 207088555755686293678876617908722210458932488840841\ 3070067832601077208815763975903574661545158093995561676978171133666579607928947\ 6754490130681927422531617036887204603716061095264152508629691636044005816184541\ 1366622576231368689376541594464652179844323838144888013435804085574259152626846\ 6878074874392089385196667999029862995019951892846205375451717322690271140751643\ 0809208902921904300403093211305952658235345193865366369386337692186814204805297\ 7513649121808798824999374563331590199138074365361360337710392354464544119793870\ 1878547711216264887699045091942967618570937218625510422370000329297653] ---------------------------- (A,B)= , {3, 4, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^7-P^2*x^6+3*P^2*x^5-2*P*x^5+2*P^2*x^3+P*x^4-P^2*x^2-2*P^2*x+2 *P*x^2+P^2+2*P*x-2*P+1, -1/(C*x^5-x^5+x^2+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n -5)*a(n-1)+(-166*n^2+1288*n-1800)*a(n-2)+(185*n^2-1823*n+3570)*a(n-3)+(134*n^2-\ 1040*n+1800)*a(n-4)+(-322*n^2+3298*n-7860)*a(n-5)+(149*n^2-941*n+390)*a(n-6)+(-\ 225*n^2+1269*n+1314)*a(n-7)+(122*n^2-1298*n+2052)*a(n-8)+(262*n^2-2710*n+6276)* a(n-9)+(-104*n^2+1064*n-1872)*a(n-10)+(-49*n^2+1057*n-4590)*a(n-11)+(-70*n^2+ 226*n+2172)*a(n-12)+(34*n^2-322*n+396)*a(n-13)+(24*n^2-204*n-168)*a(n-14)-2*(n-\ 10)*(n-12)*a(n-16)+4*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 25, a(8) = 48, a(9) = 99, a(10) = 224, a( 11) = 558, a(12) = 1524, a(13) = 4494, a(14) = 14054, a(15) = 45865, a(16) = 154316, a(17) = 530810}, [1, 2, 3, 5, 8, 14, 25, 48, 99, 224, 558, 1524, 4494, 14054, 45865, 154316, 530810, 1856216, 6574331, 23523326, 84876688, 308424922, 1127584880, 4144285285, 15303096946, 56743464045, 211190135870, 788670722985, 2954253805612, 11097211104802, 41791964040091, 157759653315169, 596822337521310 , 2262406762221579, 8592327716266664, 32689626642070904, 124571328589181830, 475433846698252782, 1817125977954957649, 6954496611414465087, 26650056362598292770, 102247164241976621266, 392732306630170350510, 1510107972670346059052, 5812476877272793136190, 22394121595446377195603, 86358627020260207545848, 333316776009736521578113, 1287569141032962319857145, 4977706845569889712340842], 427860966739383722863668131930827986016624258412273\ 3491105663916108851022800154131636041538334258173085948666638723332206835957934\ 4992804649816227968222263296179918295876638404357079512468568239655850964630204\ 7741645450836781125506872643316421039388358668774879619358826446129593212704657\ 4066867484731158862068872923551690757810392181324869943564216574476690489704695\ 7600873431308030088920286233436969480522512001555540677876199688662049817077771\ 3442079467048659493821773772176680498059143795381846665310081131942470073905002\ 5970239944870913147591564261000552994052319949914302987414378952920259] ---------------------------- (A,B)= , {3, 4, 5}, {1, 2, 3, 5} [P^2*x^11-2*P^2*x^9-2*P^2*x^8+4*P^2*x^7+3*P^2*x^6-2*P*x^7-3*P^2*x^5-3*P^2*x^4+3 *P*x^5+4*P^2*x^3+2*P*x^4+P^2*x^2-4*P*x^3-3*P^2*x+x^3+P^2+4*P*x-2*P-x+1, (C*x^2-\ 1)/((x^6-x^4-x^3+x^2)*C+x^2+x-1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-\ 311*n^2+2671*n-3888)*a(n-2)+(638*n^2-6622*n+13488)*a(n-3)+(-324*n^2+4608*n-\ 13056)*a(n-4)+(-820*n^2+8924*n-22536)*a(n-5)+(1191*n^2-16473*n+53916)*a(n-6)+( 187*n^2-137*n-7524)*a(n-7)+(-1184*n^2+17806*n-65796)*a(n-8)+(29*n^2-5653*n+ 43296)*a(n-9)+(1060*n^2-13598*n+35940)*a(n-10)+(-232*n^2+6266*n-36036)*a(n-11)+ (-505*n^2+6611*n-13284)*a(n-12)+(46*n^2-2414*n+15096)*a(n-13)+(220*n^2-2204*n-\ 1152)*a(n-14)+(-17*n^2+361*n-912)*a(n-15)+(6*n^2-1350*n+15864)*a(n-16)+(n^2+229 *n-3252)*a(n-17)+(-34*n^2+1118*n-9000)*a(n-18)-2*(7*n-92)*(n-15)*a(n-19)+12*(2* n-29)*(n-16)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6 ) = 14, a(7) = 24, a(8) = 44, a(9) = 83, a(10) = 168, a(11) = 366, a(12) = 875, a(13) = 2293, a(14) = 6536, a(15) = 19925, a(16) = 63878, a(17) = 212325, a(18) = 724285, a(19) = 2517946, a(20) = 8879721}, [1, 2, 3, 5, 8, 14, 24, 44, 83, 168, 366, 875, 2293, 6536, 19925, 63878, 212325, 724285, 2517946, 8879721, 31667780, 113965293, 413240258, 1508059220, 5534076815, 20407372180, 75579584878, 280995553278, 1048348396762, 3923571401313, 14726701930747, 55420671797876, 209068212687176, 790447034343635, 2994704678251271, 11367566281348157, 43227072610231132, 164652142891375442, 628138808714388204, 2399818480284674565, 9181156624181613290, 35170434976002967023, 134892414961924928733, 517961568821640716549, 1991044222475400165340, 7661484008884519299664, 29510100140886523329749, 113771408143209243463486, 439016323145455858714397, 1695489485694767723751604], 1398060351177897584497821\ 7171388283008982574467996674431339506166710817023026584268353112766396646417272\ 1350678076171184649949821986273752346135448689877408698909617918899760575668398\ 4353137521164004114383233166036046175635990264295864602010357001242818489055410\ 8386507749364472646191356936295206718865284135760182148205635059138254390146991\ 9907364881705209001015417157737554020658791128383738911592899616569801548011123\ 4846403731038304118352260621655273194392558447725557964893792056246347259304309\ 5569812280113494492822074189587013706583906286403979799858124993611986482020298\ 40949148002057916] ---------------------------- (A,B)= , {3, 4, 5}, {1, 2, 4, 5} [P^2*x^11-2*P^2*x^10-P^2*x^9+4*P^2*x^8-2*P*x^8-2*P^2*x^6+2*P*x^7-2*P^2*x^5+2*P* x^6+2*P^2*x^4-P*x^5+4*P^2*x^3-2*P*x^4+x^5-2*P^2*x^2-2*P*x^3-2*P^2*x+4*P*x^2+P^2 +2*P*x-x^2-2*P+1, (C*x^3-1)/((x^6-x^5-x^4+x^3)*C+x^2+x-1), {-5*n*(n-5)*a(n)+4*( 14*n-13)*(n-6)*a(n-1)-18*(11*n-20)*(n-7)*a(n-2)+(138*n^2-1644*n+3360)*a(n-3)+( 499*n^2-5195*n+12144)*a(n-4)+(-686*n^2+8686*n-24744)*a(n-5)+(-464*n^2+5596*n-\ 16536)*a(n-6)+(800*n^2-12100*n+43872)*a(n-7)+(371*n^2-4915*n+16080)*a(n-8)+(-\ 325*n^2+8105*n-44616)*a(n-9)+(-632*n^2+5080*n+5616)*a(n-10)+(247*n^2-4463*n+ 19320)*a(n-11)+(578*n^2-3652*n-22680)*a(n-12)+(-351*n^2+3675*n-312)*a(n-13)+(-\ 152*n^2+370*n+16920)*a(n-14)+(225*n^2-3777*n+14520)*a(n-15)+(-26*n^2+1150*n-\ 11736)*a(n-16)+(-217*n^2+6449*n-48120)*a(n-17)+(188*n^2-6256*n+51768)*a(n-18)+( 61*n^2-1757*n+12456)*a(n-19)+(-126*n^2+4098*n-33192)*a(n-20)+20*(2*n-31)*(n-18) *a(n-21) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 24, a(8) = 43, a(9) = 80, a(10) = 157, a(11) = 331, a(12) = 764, a(13) = 1942 , a(14) = 5409, a(15) = 16249, a(16) = 51664, a(17) = 171039, a(18) = 582530, a (19) = 2024536, a(20) = 7141913, a(21) = 25484872}, [1, 2, 3, 5, 8, 14, 24, 43, 80, 157, 331, 764, 1942, 5409, 16249, 51664, 171039, 582530, 2024536, 7141913, 25484872, 91774945, 332998371, 1215994619, 4464907141, 16473562134, 61040524786 , 227043117215, 847409489781, 3172732585806, 11912657582036, 44845064473035, 169223343575214, 639978247210566, 2425260134600543, 9208231893076333, 35023718875343640, 133433655722017539, 509142824825150619, 1945554171175533799, 7444553014598016859, 28522725136025854184, 109413005580043256161, 420187859845209264501, 1615429813897596452389, 6216962411841064736511, 23949217850437823709590, 92343525692346246440435, 356372510940451256901314, 1376469367598631907411038], 114014420603861705890416832868403103584861724395292\ 7822529339410513950486206157826893580223174907045535635818454032485163733064583\ 9395148113469875076282016252816296467448871414497390887503260773750579146562184\ 1777993377813477655564041557927628474534379052422299741756479898297506030281655\ 1162512177313377996365314668350440308377121034401270127489218089039829239243455\ 9748586464087130706406269073465736561135522482889973762752189898263387750319418\ 6003566093066817535539498356062617943468228031819752762344606384898921109591395\ 3145643538555385840559799750181411656209444310248357709487723900034573] ---------------------------- (A,B)= , {3, 4, 5}, {1, 3, 4, 5} [P^2*x^9-2*P^2*x^8+P^2*x^7+2*P*x^8-P^2*x^6-2*P*x^7+x^7+3*P^2*x^4-P*x^5+P^2*x^3-\ 2*P*x^4-P^2*x^2+2*P*x^3-2*P^2*x+2*P*x^2-x^3+P^2+2*P*x-2*P+1, (-C*x^4+1)/((x^5-x ^4)*C-x^2-x+1), {5*n*(n-5)*a(n)-4*(14*n-13)*(n-6)*a(n-1)+(206*n^2-1804*n+2604)* a(n-2)+(-235*n^2+2525*n-5112)*a(n-3)+(-91*n^2+809*n-1308)*a(n-4)+(53*n^2-901*n+ 2100)*a(n-5)+(464*n^2-5770*n+17640)*a(n-6)+(-124*n^2+1946*n-6720)*a(n-7)+(-346* n^2+4250*n-12192)*a(n-8)+(55*n^2+2299*n-24096)*a(n-9)+(-109*n^2-2551*n+33876)*a (n-10)+(217*n^2-2051*n-12)*a(n-11)+(-82*n^2+2210*n-16380)*a(n-12)+(-14*n^2+1156 *n-12444)*a(n-13)+(9*n^2-1665*n+20808)*a(n-14)+(82*n^2-2300*n+16356)*a(n-15)+(-\ 118*n^2+3674*n-28536)*a(n-16)+(149*n^2-4657*n+36288)*a(n-17)+(-126*n^2+4098*n-\ 33192)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 1, a(2) = 2, a(3) = 3, a( 4) = 5, a(5) = 8, a(6) = 14, a(7) = 24, a(8) = 43, a(9) = 79, a(10) = 154, a(11 ) = 321, a(12) = 733, a(13) = 1846, a(14) = 5111, a(15) = 15304, a(16) = 48607, a(17) = 160937, a(18) = 548497, a(19) = 1907913}, [1, 2, 3, 5, 8, 14, 24, 43, 79, 154, 321, 733, 1846, 5111, 15304, 48607, 160937, 548497, 1907913, 6736415, 24057432, 86697224, 314774343, 1150087403, 4224975502, 15595057371, 57807535178 , 215091658365, 803049937249, 3007487622972, 11295075060307, 42530021385726, 160521543654452, 607187771778194, 2301412035587430, 8739463550701003, 33245901369128263, 126678802686717829, 483433511682110106, 1847546007375272420, 7070367251875586004, 27092100882759649836, 103936028873712849228, 399193626559574050570, 1534859958132633290710, 5907412477779038411783, 22758664801613073466009, 87759964547232226359187, 338709217865473268660150, 1308339989068424772981179], 108674446887578841812920229800491758088627013472943\ 2283286093146630744992449725649197369386642055257250007070084483244564874794797\ 6731639033878926255860953444297578915444894172564444066921687986454764876037330\ 0214370224856095148692837308272314915409865500884029248846262245906703821921058\ 2345386116879464265698472958894491112463687123275006089696432895940056725324742\ 2975737922824638605876336800184440951466675951896279324839297142087269523215975\ 5789899072603573701652374340930179760002420975193297880298333166125534031690126\ 3285316766227125673281367975544978873281977502168248992624553842917177] ---------------------------- (A,B)= , {3, 4, 5}, {2, 3, 4, 5} [P^2*x^9-2*P*x^9+x^9+2*P^2*x^5-P^2*x^4-3*P*x^5+2*P*x^4+x^5+4*P^2*x^2-x^4-4*P^2* x-4*P*x^2+P^2+6*P*x+x^2-2*P-2*x+1, (C*x^5+x-1)/(C*x^5+2*x-1), {-5*n*(n-5)*a(n)+ (74*n^2-502*n+408)*a(n-1)+(-432*n^2+3660*n-5352)*a(n-2)+(1268*n^2-12808*n+26016 )*a(n-3)+(-1962*n^2+23070*n-59208)*a(n-4)+(1442*n^2-19798*n+61920)*a(n-5)+(-73* n^2+2759*n-13812)*a(n-6)+(-820*n^2+10706*n-35112)*a(n-7)+(803*n^2-12019*n+45144 )*a(n-8)+(-261*n^2+4317*n-17880)*a(n-9)+(-39*n^2+2109*n-17316)*a(n-10)+(62*n^2-\ 6172*n+61560)*a(n-11)+(-100*n^2+9476*n-102672)*a(n-12)+(109*n^2-6329*n+66600)*a (n-13)+4*(n-14)*(7*n-174)*a(n-14)+(-89*n^2+3511*n-32652)*a(n-15)+(100*n^2-3794* n+35160)*a(n-16)+4*(n-14)*(n-18)*a(n-18)-6*(5*n-76)*(n-19)*a(n-19)+28*(n-20)*(2 *n-33)*a(n-20) = 0, a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, a(5) = 16, a(6) = 33, a(7) = 69, a(8) = 146, a(9) = 313, a(10) = 682, a(11) = 1519, a(12) = 3484, a(13) = 8302, a(14) = 20742, a(15) = 54744, a(16) = 153181, a(17) = 453722, a( 18) = 1414001, a(19) = 4596594, a(20) = 15446986}, [1, 2, 4, 8, 16, 33, 69, 146 , 313, 682, 1519, 3484, 8302, 20742, 54744, 153181, 453722, 1414001, 4596594, 15446986, 53240289, 187029137, 666548032, 2401913334, 8730917534, 31960232057, 117674600869, 435404259564, 1617889892310, 6034291835008, 22581121279862, 84754059361362, 318969982701852, 1203401426245174, 4550448568202445, 17242649212122157, 65462465074625321, 248977171898010014, 948532569129658971, 3619284802030763997, 13830186839102741011, 52921139805914419068, 202763991015775848361, 777822936841655662182, 2987235529619324146534, 11484972717049800357953, 44201540075591851979907, 170282045768313624753545, 656603472347106424813425, 2534082497379139942651434], 2038381235986980018772117\ 9884012285378181114618554042897974100286853630157734810229750332742088933043159\ 2626297316734823112983616747403042312526579934416072671093281251535455277331980\ 6999627092270336068459178351286880746604052622384285637443411184964360722403373\ 3293866124287891727637385349933678839787036212794903416082671335762182784172151\ 9166903902193666365281446976486570547389942343252928932892499132644063403174155\ 1215906679737292029498651692851003859976973262937981929028315866205388629276242\ 0201232955945871185106495755219026650382402799636926645407759422275914300623981\ 06062869980859398] ---------------------------- (A,B)= , {3, 4, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^7+P^2*x^6-P^2*x^5+P^2*x^4+P*x^5+2*P^2*x^3-P^2*x^2-2*P^2*x+2*P*x ^2+P^2+2*P*x-2*P+1, -1/(C*x^6+x^2+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-\ 1)+(-206*n^2+1804*n-2604)*a(n-2)+(228*n^2-2472*n+5016)*a(n-3)+(170*n^2-1564*n+ 3060)*a(n-4)+(-345*n^2+4233*n-11400)*a(n-5)+(-135*n^2+1299*n-2880)*a(n-6)+(324* n^2-3900*n+10908)*a(n-7)-2*(35*n-57)*(n-8)*a(n-8)+(-135*n^2+1611*n-4668)*a(n-9) +(109*n^2-1595*n+5628)*a(n-10)+(56*n^2-964*n+3924)*a(n-11)+(41*n^2-217*n-420)*a (n-12)+(-116*n^2+1078*n-1512)*a(n-13)+(50*n^2-652*n+1968)*a(n-14)+28*(n-6)*(2*n -19)*a(n-15)-(n-12)*(n-11)*a(n-17)+2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2 ) = 2, a(3) = 3, a(4) = 5, a(5) = 8, a(6) = 14, a(7) = 24, a(8) = 43, a(9) = 79 , a(10) = 153, a(11) = 317, a(12) = 719, a(13) = 1802, a(14) = 4975, a(15) = 14885, a(16) = 47295, a(17) = 156744, a(18) = 534792}, [1, 2, 3, 5, 8, 14, 24, 43, 79, 153, 317, 719, 1802, 4975, 14885, 47295, 156744, 534792, 1862164, 6580806, 23519575, 84812753, 308096129, 1126192581, 4138778275, 15281926260, 56663081601, 210886511028, 787525835419, 2949936867129, 11080920242070, 41730411099046, 157526750476903, 595939754598604, 2259057132213418, 8579595927826139, 32641163039482081, 124386591620867245, 474728699412105612, 1814430913689321424, 6944183324520980139, 26610543387205857179, 102095607999006148380, 392150368027494853020, 1507871165367940710276, 5803870746308937568138, 22360978255122785855629, 86230872709819816794045, 332823910051911617238083, 1285666135610727262682119], 1069741816837895301553665\ 4177741523192496681991165611730104355634696991261083550251979164195123911378103\ 2111166854322405738612327987237598956505647794533576226731867015549931970598382\ 7388890428514599819882479099552774804183537956561116775203839233025399998382050\ 6219950008559852091728217519291475700717727242881652697335064483332782037051091\ 9071804232791951171619268402217157563971842323729563364165028206338804191713015\ 5906584341239544063996820001211073963313746455371995159042656158826511297219592\ 6992814768380316448608740416116138418920427904688468883271264361906077679474015\ 69348460898324616] ---------------------------- (A,B)= , {1, 2, 3, 4}, {} [P^2*x^7+2*P^2*x^6+3*P^2*x^5-2*P*x^6+4*P^2*x^4-4*P*x^5+5*P^2*x^3-6*P*x^4+x^5+3* P^2*x^2-8*P*x^3+2*x^4+2*P^2*x-7*P*x^2+3*x^3+P^2-4*P*x+4*x^2-2*P+2*x+1, ((x^3+x^ 2+x)*C-x^3-x^2-x-1)/((x^4+x^3+x^2+x)*C-x^4-x^3-x^2-x-1), {-2*n*(n-2)*a(n)+12*(n -1)*(n-4)*a(n-1)+6*n*(n-2)*a(n-2)-3*(n-3)*(13*n-86)*a(n-3)-36*(n-4)*(3*n-23)*a( n-4)+(-249*n^2+2541*n-6450)*a(n-5)+(-335*n^2+3253*n-7482)*a(n-6)+(-306*n^2+2484 *n-2616)*a(n-7)+(-87*n^2-1311*n+15558)*a(n-8)+(174*n^2-5910*n+37356)*a(n-9)+( 405*n^2-9927*n+57102)*a(n-10)+(522*n^2-12042*n+68388)*a(n-11)+2*(n-11)*(217*n-\ 2466)*a(n-12)+12*(25*n-266)*(n-12)*a(n-13)+18*(9*n-94)*(n-13)*a(n-14)+28*(2*n-\ 21)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 6, a(8) = 19, a(9) = 62, a(10) = 207, a(11) = 703, a(12) = 2426, a( 13) = 8481, a(14) = 29973, a(15) = 106917}, [0, 0, 0, 0, 1, 2, 6, 19, 62, 207, 703, 2426, 8481, 29973, 106917, 384453, 1392103, 5071805, 18578511, 68384848, 252808868, 938259003, 3494553452, 13057528129, 48933933168, 183879584844, 692688544086, 2615417793162, 9896218246384, 37519488574730, 142509912570597, 542226404646302, 2066406129176221, 7886904870914094, 30144898754167329, 115372217093592222, 442115544301114149, 1696239460660411413, 6515196397875916767, 25051351644875228562, 96421617469461954896, 371479906058560281205, 1432496512247428817085, 5528792171381299280231, 21356389345037871791281, 82560039063298312788621, 319404592220630760485491, 1236594566069048188870985, 4790877200591844363983580, 18573413291553742895516046], 17976110347025293957777971724176100601418537921666\ 8096989360883478930105440464683213638006181577811314360695809322542471621483575\ 5600343803737905486854406168484255531605524327140579687607320857196865388951427\ 5474810469061125107689542289869394569092521582688305119413621482221165339953649\ 4671653706517878889482984877462948241327906745934302960693335984441376027050684\ 1085591758547314289006504920203748671674555592966183260387596786553844388044681\ 2714813019579809872539180315371173975110237990558715343647502476139847077676242\ 501509046130601764994058725106566374862596205142882578649987108781420665] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1} [P^2*x^7+2*P^2*x^5+2*P^2*x^4-2*P*x^5+3*P^2*x^3-2*P*x^4+P^2*x^2-4*P*x^3+3*P^2*x-\ 3*P*x^2+x^3+P^2-6*P*x+2*x^2-2*P+3*x+1, ((x^2+x)*C-x^2-x-1)/((x^4+x^2+x)*C-x^4-x ^2-x-1), {-2*n*(n-2)*a(n)+3*(n-1)*(3*n-14)*a(n-1)+3*(n-2)*(11*n-27)*a(n-2)-4*(n -3)*(22*n-107)*a(n-3)-6*(n-4)*(32*n-209)*a(n-4)+(-132*n^2+1386*n-3600)*a(n-5)+( -196*n^2+1874*n-4152)*a(n-6)+(-171*n^2+1173*n-414)*a(n-7)+(-26*n^2-1070*n+9972) *a(n-8)+(2*n^2-478*n+3564)*a(n-9)+(67*n^2-2141*n+12906)*a(n-10)+(62*n^2-1486*n+ 8364)*a(n-11)+(85*n^2-1793*n+9390)*a(n-12)+2*(n-6)*(n-5)*a(n-13)+20*(2*n-19)*(n -12)*a(n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a (7) = 6, a(8) = 19, a(9) = 61, a(10) = 203, a(11) = 687, a(12) = 2364, a(13) = 8246, a(14) = 29089}, [0, 0, 0, 0, 1, 2, 6, 19, 61, 203, 687, 2364, 8246, 29089 , 103608, 372086, 1345884, 4898926, 17930992, 65955602, 243679095, 903884099, 3364890300, 12567555664, 47079185731, 176846772513, 665978472662, 2513818082737 , 9509182666851, 36043032607940, 136869998965464, 520654966849954, 1983799656481469, 7570201697013912, 28929355347745586, 110701904588250346, 424153415666921618, 1627090404569093078, 6248748273665132652, 24023762532528013143, 92455274859842892245, 356158122801103937578, 1373263732154696662606, 5299634272765122318681, 20469203827861757624003, 79122966708675307689894, 306080245348369516224801, 1184908288555179463162595, 4590260866069184697441106, 17794284529577975954978774], 17166356298472798616368\ 1009299245444753937284699296710038175484553362787906348312215775037861665827405\ 8943337527180675597106239265605140407490635005433130152220610693938830244948655\ 9183397866713191623446567947528677314819756610810888133904886338326362186224597\ 0355651321582519757864904460204003151860606743408058450790852287378297263395396\ 6263120066622510179509944724311782079587745898952914821462563001094766953975141\ 0999781873647350622538129588756390056548114544729440946270118375608426011487448\ 5157254795349775474233499588904468861280264338175388510709579236640727955631360\ 22720910183626226824] ---------------------------- (A,B)= , {1, 2, 3, 4}, {2} [P^2*x^7+2*P^2*x^6+P^2*x^5-2*P*x^6+2*P^2*x^4-2*P*x^5+4*P^2*x^3-2*P*x^4+x^5+P^2* x^2-6*P*x^3-3*P*x^2+2*x^3+2*P^2+2*x^2-4*P+2, ((x^3+x)*C-x^3-x-1)/((x^4+x^3+x)*C -x^4-x^3-x-1), {-8*n*(n-2)*a(n)+24*(n-1)*(3*n-10)*a(n-1)-4*(n-2)*(41*n-180)*a(n -2)+32*(n-3)*(n-5)*a(n-3)+(624*n-2496)*a(n-4)+(-220*n^2+1316*n-960)*a(n-5)-4*( 31*n-42)*(n-5)*a(n-6)+(-79*n^2+923*n-1938)*a(n-7)+(-4*n^2-2104*n+16512)*a(n-8)+ (-36*n^2-252*n+2760)*a(n-9)+(71*n^2-1903*n+11682)*a(n-10)+(248*n^2-6016*n+35688 )*a(n-11)+(147*n^2-3339*n+19074)*a(n-12)+(82*n^2-1862*n+10620)*a(n-13)+(122*n^2 -2938*n+17436)*a(n-14)+28*(2*n-21)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 6, a(8) = 18, a(9) = 58, a(10) = 191, a(11) = 642, a(12) = 2196, a(13) = 7621, a(14) = 26770, a(15) = 94999}, [0, 0, 0, 0, 1, 2, 6, 18, 58, 191, 642, 2196, 7621, 26770, 94999, 340086, 1226724, 4454284, 16268198, 59723639, 220271532, 815778148, 3032585059, 11311775988, 42324804303, 158814977061, 597475512050, 2253162121158, 8515887659499, 32252437925593, 122384844110237, 465231236787494, 1771476601419189, 6755870431366708, 25802678132446405, 98684242747001868, 377916337863022794, 1449027237424337972, 5562387832936768918, 21375828677327355235, 82231243929601636810, 316650424872281610302, 1220482081907905063903, 4708376587523453399176, 18179467005533791974733, 70249664075534260834555, 271671846666072232574820, 1051398777314474833900282, 4071916641688842492523265, 15780685781399362998361915], 15042934013223508529949849654194488524438501542590\ 6536309997345361019574202599339841278719953586155329472215492096860377194319966\ 4975597905036180423755177148125054330494029060614466338762201113447931831599867\ 3968898529051118003096593958048496683601796441294709696865489895494324331280901\ 2469312131849927528948108754398863248829379561883487109169319068815938475773662\ 5443175006310855388445307041825517823474444488762787813252476820677099402317523\ 7440111002738785061331554568860624932973313090145235932289975792745493403188467\ 713876597723128801189369131887853540915800888193130144826751318988945436] ---------------------------- (A,B)= , {1, 2, 3, 4}, {3} [P^2*x^8+2*P^2*x^7+3*P^2*x^6-2*P*x^7+2*P^2*x^5-4*P*x^6+3*P^2*x^4-4*P*x^5+x^6+P^ 2*x^3-4*P*x^4+2*x^5+P^2*x^2-3*P*x^3+x^4-P^2*x-2*P*x^2+2*x^3+P^2+2*P*x+x^2-2*P-x +1, ((x^3+x^2)*C-x^3-x^2-1)/((x^4+x^3+x^2)*C-x^4-x^3-x^2-1), {-3*n*(n-3)*a(n)+( n-1)*(31*n-128)*a(n-1)-2*(n-2)*(53*n-263)*a(n-2)+6*(n-3)*(25*n-134)*a(n-3)-(n-4 )*(125*n-739)*a(n-4)+(52*n^2-306*n+260)*a(n-5)+(-133*n^2+975*n-1244)*a(n-6)+(53 *n^2-579*n+1888)*a(n-7)+(-113*n^2+483*n+2852)*a(n-8)+(-62*n^2+522*n+176)*a(n-9) +(-88*n^2+1482*n-7844)*a(n-10)+2*(5*n-68)*(7*n-116)*a(n-11)+(145*n^2-4383*n+ 30824)*a(n-12)+(260*n^2-7182*n+48976)*a(n-13)+(272*n^2-7140*n+46840)*a(n-14)+( 276*n^2-7452*n+50064)*a(n-15)+18*(9*n-112)*(n-15)*a(n-16)+28*(2*n-25)*(n-16)*a( n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 5 , a(8) = 15, a(9) = 47, a(10) = 151, a(11) = 496, a(12) = 1665, a(13) = 5689, a (14) = 19720, a(15) = 69186, a(16) = 245240, a(17) = 877000}, [0, 0, 0, 0, 1, 2 , 5, 15, 47, 151, 496, 1665, 5689, 19720, 69186, 245240, 877000, 3160338, 11465052, 41839089, 153484322, 565690055, 2093723336, 7778741754, 28999871407, 108454323439, 406767177614, 1529647580260, 5766249348490, 21785735587648, 82481528574117, 312883876837446, 1189034576069932, 4526255035871302, 17257191754909582, 65893932979315790, 251956962812647191, 964667645545150593, 3698002806313558719, 14192710683231856677, 54531172681685775294, 209739682679402677301, 807512911388278385642, 3111931149846119292447, 12003342907331971699754, 46339108559292570560352, 179039618665458356119368, 692293993415430780859509, 2678902679974034447462531, 10373713208978782728123484 ], 9542307258327164809026293633154009878361783763344105103811387685263487531784\ 4300236538571222718518215540157135201640692922442766160340985765544667200380805\ 4365359169557466169669428553866027766738401944222087939357098693579120743900533\ 7670900399509325276925256253927311981853858553227138596069183640216399046205268\ 7607715675834647645014951226678232385716572088009280007565666736042943350027445\ 5690503579654808501031274392672076726891562552279928824372214700934292230457383\ 5515250835670969667419346669180872844495076433167910421951942737388308030109165\ 361777634462092396438671594933041658247130395] ---------------------------- (A,B)= , {1, 2, 3, 4}, {4} [P^2*x^9+2*P^2*x^8+3*P^2*x^7-2*P*x^8+4*P^2*x^6-4*P*x^7+3*P^2*x^5-6*P*x^6+x^7+P^ 2*x^4-6*P*x^5+2*x^6-3*P*x^4+3*x^5-P^2*x^2+2*x^4-P^2*x+2*P*x^2+P^2+2*P*x-x^2-2*P -x+1, (-1+(x^4+x^3+x^2)*C)/(-1+(x^5+x^4+x^3+x^2)*C), {-4*n*(n-4)*a(n)+(n-1)*(41 *n-210)*a(n-1)-3*(n-2)*(43*n-265)*a(n-2)+(n-3)*(97*n-730)*a(n-3)+2*(n-4)*(47*n-\ 300)*a(n-4)-(47*n-231)*(n-10)*a(n-5)+(-71*n^2+1379*n-5850)*a(n-6)+(-108*n^2+ 1110*n-2148)*a(n-7)+(-59*n^2-799*n+9906)*a(n-8)+(90*n^2-2424*n+14088)*a(n-9)+( 87*n^2-1545*n+6510)*a(n-10)+(-66*n^2+2844*n-25632)*a(n-11)+(-20*n^2+1940*n-\ 18192)*a(n-12)+(78*n^2-2058*n+14700)*a(n-13)+(256*n^2-7708*n+57528)*a(n-14)+( 416*n^2-12656*n+95808)*a(n-15)+(426*n^2-12990*n+98916)*a(n-16)+12*(25*n-366)*(n -16)*a(n-17)+18*(9*n-130)*(n-17)*a(n-18)+28*(n-18)*(2*n-29)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 3, a(8) = 8, a(9) = 23, a(10) = 69, a(11) = 214, a(12) = 688, a(13) = 2268, a(14) = 7636, a(15) = 26156, a(16) = 90884, a(17) = 319603, a(18) = 1135392, a(19) = 4068738}, [0, 0, 0, 0, 1, 1, 3, 8, 23, 69, 214, 688, 2268, 7636, 26156, 90884, 319603, 1135392, 4068738, 14690685, 53392082, 195173812, 717118668, 2646950470, 9810314203, 36494622294, 136217946782, 509999554650, 1914795012186, 7207632505795, 27195267257099, 102836376832509, 389658178930946, 1479253303254733, 5625581710274947, 21429317742036963, 81756053463806832, 312364012408914225, 1195072026389171371, 4578096615061791167, 17559100781135939921, 67424427367134725626, 259181184287856310057, 997324462263516104524, 3841436976634090131193, 14809974214207265510285, 57147713435321622723631, 220703572562418695383949, 853039300909882209662740, 3299607193048006403657105], 2896630436017950709684064611812135508701595532698418483397134466753474219951528\ 1043892319860219302990871392519443088698520188770051103308796638106884244640686\ 3074709704715319892266773130764738081091479266423373766714153228898197078066469\ 1273705699130281972681451768958537562993477394954140163781361056671801562923776\ 1232306959976973616518207276121738880970491176161345655907645911625118855616924\ 2134480177055329042340285857367417858552755709712984697616312740519803496026333\ 4794963243988357145828660206965546447611082115262743352573160475352817651452813\ 928402846134868454126862232193653573540084] ---------------------------- (A,B)= , {1, 2, 3, 4}, {5} [P^2*x^11+4*P^2*x^10+7*P^2*x^9-2*P*x^10+10*P^2*x^8-8*P*x^9+13*P^2*x^7-14*P*x^8+ x^9+14*P^2*x^6-20*P*x^7+4*x^8+8*P^2*x^5-24*P*x^6+7*x^7+5*P^2*x^4-19*P*x^5+10*x^ 6+2*P^2*x^3-10*P*x^4+11*x^5-P^2*x^2-4*P*x^3+5*x^4-3*P^2*x+2*P*x^2+2*x^3+P^2+6*P *x-x^2-2*P-3*x+1, ((x^5+x^4+x^3+x^2)*C+x^4+x^3+x^2+x-1)/((x^6+x^5+x^4+x^3+x^2)* C+x^5+x^4+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-2*(n-2)*(172 *n-1173)*a(n-2)+(n-3)*(683*n-5356)*a(n-3)-3*(n-4)*(67*n-729)*a(n-4)-3*(n-5)*( 207*n-1904)*a(n-5)+(-287*n^2+3511*n-10704)*a(n-6)+(468*n^2-7680*n+30588)*a(n-7) +(347*n^2-13855*n+89604)*a(n-8)+(1345*n^2-24857*n+112980)*a(n-9)+(1065*n^2-\ 10605*n-1416)*a(n-10)+(-336*n^2+22374*n-203784)*a(n-11)+(-1744*n^2+55406*n-\ 416196)*a(n-12)+(-1829*n^2+51193*n-341304)*a(n-13)+(-611*n^2+2803*n+93420)*a(n-\ 14)+(1587*n^2-71385*n+706452)*a(n-15)+(3972*n^2-147138*n+1322904)*a(n-16)+(5583 *n^2-199311*n+1763496)*a(n-17)+(5570*n^2-197536*n+1748976)*a(n-18)+(4336*n^2-\ 154178*n+1370196)*a(n-19)+96*(29*n-497)*(n-19)*a(n-20)+9*(157*n-2683)*(n-20)*a( n-21)+6*(79*n-1364)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a( 2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 40, a(10) = 117, a(11) = 349, a(12) = 1065, a(13) = 3321, a(14) = 10567, a(15) = 34263, a(16) = 113051, a(17) = 379016, a(18) = 1289224, a(19) = 4442813, a(20) = 15490000, a(21) = 54570491, a(22) = 194033610, a(23) = 695601419}, [0, 0, 0, 0, 1, 2, 5, 14, 40, 117, 349, 1065, 3321, 10567, 34263, 113051, 379016, 1289224 , 4442813, 15490000, 54570491, 194033610, 695601419, 2511950797, 9130188895, 33378054698, 122656003753, 452826263944, 1678757696806, 6247160847575, 23327203630431, 87376425423423, 328216349778541, 1236110622418364, 4666535689592051, 17655958138571250, 66938456442686006, 254263356577636770, 967516084436697183, 3687630579600781931, 14076832365472224552, 53813189627092191102, 205996872918287979306, 789561339948626752485, 3029931151433391592789, 11640516453288271871928, 44769031276654933358952, 172355279823401047598292, 664186936817196429747698, 2561851909968318085536011], 2020083920487429174739894718055692633297650680250936517687868750953621618115577\ 8467341962761492733117028194312859499957213717660257851012138732859657833189208\ 5529396472407373775599882046320015516694764162709284829485456959053777246659632\ 4921379734331829978482453628584567708224837723106391318265625061078086605465049\ 2809217784065356458688483623249846206481193339527376609354140732806309478801289\ 7305820840762530397606494825965189660437110211183354657002971792375232630108559\ 3151471155934300828783431628222258948479715711969992703251362452211765919933118\ 966313912745285032659683986562194234397964] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 2} [P^2*x^7+2*P^2*x^4+2*P^2*x^3-2*P*x^4-P^2*x^2-2*P*x^3+P^2*x+P*x^2+2*P^2-2*P*x-4* P+x+2, (C*x-x-1)/((x^4+x)*C-x^4-x-1), {-8*n*(n-2)*a(n)+6*(n-1)*(11*n-38)*a(n-1) -(n-2)*(101*n-531)*a(n-2)-(n-3)*(161*n-586)*a(n-3)+36*(3*n-2)*(n-4)*a(n-4)+(-58 *n^2+566*n-1260)*a(n-5)+(-146*n^2+562*n+1428)*a(n-6)+(-22*n^2-82*n+1404)*a(n-7) +(-n^2+497*n-2766)*a(n-8)-34*(n+13)*(n-6)*a(n-9)+(24*n^2-660*n+3552)*a(n-10)-6* (n-7)*(n-10)*a(n-12)+12*(2*n-17)*(n-10)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 6, a(8) = 18, a(9) = 57, a(10) = 187, a (11) = 626, a(12) = 2136, a(13) = 7398}, [0, 0, 0, 0, 1, 2, 6, 18, 57, 187, 626 , 2136, 7398, 25946, 91961, 328880, 1185323, 4300981, 15699097, 57605435, 212366904, 786204802, 2921672289, 10894834766, 40753978385, 152884508376, 575041498894, 2168139708864, 8193095841929, 31024910548055, 117709439896976, 447397231111238, 1703354906794849, 6495317310577171, 24804860495770292, 94858444927697943, 363231044186255509, 1392597415298075897, 5345329003335292698 , 20540095201724911905, 79010472176168921105, 304227168528884641854, 1172522319534364140461, 4523079537416222356942, 17463002407598590270472, 67477356014886575444921, 260937011088302905003440, 1009803512320812974759634, 3910638633143582052108743, 15154968689921182242021599], 14420605064101726036772\ 2719865282702581255468672549105864640317258903807200550622436653487751427156620\ 5176869648357429452131306989638546053406559653518245109554306311431787178217424\ 6934943550997521291317871695949900721468507881259175690113395092654997993909596\ 0831943532356562421530232641089593831688939602813921350242971078967295072535393\ 8446575720314624146017365274523228549476840153292930675072017777205211133435903\ 7110854589826233910570739413713413573353219413502742549911417616158016069298415\ 0764590099891139529838372852553691234270897283069980660106178618349393467223900\ 29313915336041790686] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 3} [P^2*x^8+2*P^2*x^6-2*P*x^6+3*P^2*x^4-P^2*x^3-4*P*x^4+2*P^2*x^2+P*x^3+x^4-P^2*x-\ 4*P*x^2+P^2+2*P*x+2*x^2-2*P-x+1, (C*x^2-x^2-1)/((x^4+x^2)*C-x^4-x^2-1), {-3*n*( n-3)*a(n)+(n-1)*(31*n-128)*a(n-1)-2*(n-2)*(55*n-268)*a(n-2)+15*(n-3)*(13*n-64)* a(n-3)-2*(n-4)*(148*n-725)*a(n-4)+(319*n^2-2829*n+6200)*a(n-5)+(-361*n^2+3183*n -6284)*a(n-6)+(226*n^2-1716*n+1460)*a(n-7)+(-188*n^2+666*n+5432)*a(n-8)+(21*n^2 +1383*n-12396)*a(n-9)+(-11*n^2-1821*n+16172)*a(n-10)+(-62*n^2+2178*n-14680)*a(n -11)+(111*n^2-3177*n+20904)*a(n-12)+(-52*n^2+1158*n-6416)*a(n-13)+3*(n-12)*(33* n-409)*a(n-14)-2*(11*n-112)*(n-13)*a(n-15)+20*(2*n-23)*(n-14)*a(n-16) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 15, a(9 ) = 46, a(10) = 147, a(11) = 482, a(12) = 1615, a(13) = 5511, a(14) = 19086, a( 15) = 66922, a(16) = 237119}, [0, 0, 0, 0, 1, 2, 5, 15, 46, 147, 482, 1615, 5511, 19086, 66922, 237119, 847718, 3054207, 11078465, 40424295, 148283853, 546496483, 2022618509, 7514411398, 28014081676, 104767048783, 392937408781, 1477644888760, 5570247755534, 21045371993319, 79679209278811, 302256681622823, 1148661219544048, 4372617394863257, 16671616615868611, 63658769488990476, 243413371739414321, 931968080607204008, 3572693750028694364, 13711945546475833396, 52684598441977866807, 202639669487867139546, 780186210270182259373, 3006655080442787057228, 11597398324830457408578, 44772429418482349223297, 172988266532905041917972, 668901969087916922683824, 2588410467524363546713610, 10023390269328787644386361], 92252604561060711955298\ 0519024229571160226374122762862642258010857985902461250558833742382367575586052\ 5237118573630839095873768016697770595996437164948236786916086092794757526472715\ 9194271057013543050762364111410360945915911464362010518178886526810030478663433\ 6070395687483206188417657415119860151986871824506189371952626900368990171519518\ 4847163364654511495000773586506667379552369010919078407308423639428433502518717\ 2887486244131292956371127083412728556237130804300846623516247548919695443443979\ 8366758214304932997442509524403841445375930808661973611328575551264804751096293\ 2620458679560922790] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 4} [P^2*x^9+2*P^2*x^7+2*P^2*x^6-2*P*x^7+P^2*x^5-2*P*x^6+P^2*x^4-2*P*x^5+P^2*x^3-3* P*x^4+x^5-P^2*x^2-2*P*x^3+2*x^4-P^2*x+2*P*x^2+x^3+P^2+2*P*x-x^2-2*P-x+1, (-1+(x ^3+x^2)*C)/(-1+(x^5+x^3+x^2)*C), {-4*n*(n-4)*a(n)+(n-1)*(41*n-210)*a(n-1)-3*(n-\ 2)*(43*n-265)*a(n-2)+4*(n-3)*(23*n-179)*a(n-3)+2*(n-4)*(71*n-405)*a(n-4)+(-170* n^2+2102*n-6240)*a(n-5)+(-76*n^2+940*n-3036)*a(n-6)+(90*n^2-1344*n+5328)*a(n-7) +(-30*n^2-42*n+2124)*a(n-8)+(-67*n^2-413*n+7602)*a(n-9)+(130*n^2-556*n-5004)*a( n-10)+(-93*n^2+1599*n-9654)*a(n-11)+(4*n^2-208*n+3048)*a(n-12)+(54*n^2-1146*n+ 7164)*a(n-13)+(18*n^2-762*n+6612)*a(n-14)+(68*n^2-2108*n+15960)*a(n-15)+(77*n^2 -2285*n+16818)*a(n-16)+2*(n-10)*(n-9)*a(n-17)+20*(2*n-27)*(n-16)*a(n-18) = 0, a (1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 3, a(8) = 8, a(9) = 22, a(10) = 67, a(11) = 207, a(12) = 666, a(13) = 2198, a(14) = 7407, a( 15) = 25400, a(16) = 88341, a(17) = 310926, a(18) = 1105394}, [0, 0, 0, 0, 1, 1 , 3, 8, 22, 67, 207, 666, 2198, 7407, 25400, 88341, 310926, 1105394, 3963817, 14319972, 52070518, 190425463, 699939557, 2584415863, 9581433124, 35652801965, 133108131472, 498465802764, 1871864380596, 7047313436893, 26594782030003, 100581039658333, 381166023535706, 1447202590696319, 5504355668030415, 20969880988963151, 80011569223414850, 305728632834601403, 1169792263520232161, 4481637253371232357, 17190514122147826805, 66014093595225030274, 253777902251638040237, 976598439178015516657, 3761845127061702945999, 14503996777305599355474, 55970231349862994953818, 216167906856064323520780, 835551751826431596371129, 3232123496308532240949745], 2842872319694420276770318\ 8402220007716711610439987256534424967295718777797337262302336280868106623013726\ 5029023737035974974558687129849462651045666088114635602154996706386566082080222\ 7135600162143982771187604864457143603753138149457366282091289732264202030152831\ 6958968043052430629365396661126044423804496856637528042646661281433275732786247\ 5686784465734064027878718108360547844542572923221245879707726578675347483091729\ 0728015835362961006047854116059537954817774033371071466308205657136352575546869\ 5424599781486520840746138863766399385355133432701580198635357233181747714728717\ 32553919307388499] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9+6*P^2*x^8-2*P*x^9+7*P^2*x^7-6*P*x^8+8*P^2*x^6-8* P*x^7+4*P^2*x^5-12*P*x^6+x^7+8*P^2*x^4-11*P*x^5+4*x^6+2*P^2*x^3-16*P*x^4+7*x^5- P^2*x^2-4*P*x^3+8*x^4-3*P^2*x+2*P*x^2+2*x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((x^4+x^3+ x^2)*C+x^3+x^2+x-1)/((x^6+x^4+x^3+x^2)*C+x^5+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+3*( n-1)*(23*n-136)*a(n-1)-2*(n-2)*(172*n-1173)*a(n-2)+(n-3)*(683*n-5356)*a(n-3)-3* (n-4)*(73*n-747)*a(n-4)-8*(n-5)*(50*n-597)*a(n-5)+(-1207*n^2+14093*n-41076)*a(n -6)+(1758*n^2-26022*n+95772)*a(n-7)+(660*n^2-16788*n+93036)*a(n-8)+(582*n^2-\ 8910*n+31620)*a(n-9)+(-607*n^2+16871*n-112296)*a(n-10)+(-89*n^2+16357*n-158616) *a(n-11)+(-1314*n^2+34350*n-227664)*a(n-12)+(-1048*n^2+22556*n-112896)*a(n-13)+ (-224*n^2-2342*n+86616)*a(n-14)+(389*n^2-19717*n+206976)*a(n-15)+(694*n^2-28202 *n+262800)*a(n-16)+(965*n^2-36031*n+323988)*a(n-17)+(930*n^2-32508*n+281928)*a( n-18)+3*(39*n-656)*(5*n-89)*a(n-19)+(326*n^2-11074*n+93960)*a(n-20)+(202*n^2-\ 7082*n+61776)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 39, a(10) = 113, a(11) = 335, a(12) = 1017, a(13) = 3161, a(14) = 10039, a(15) = 32528, a(16) = 107345, a(17) = 360170, a(18) = 1226585, a(19) = 4233020, a(20) = 14781397, a( 21) = 52155866, a(22) = 185731884}, [0, 0, 0, 0, 1, 2, 5, 14, 39, 113, 335, 1017, 3161, 10039, 32528, 107345, 360170, 1226585, 4233020, 14781397, 52155866, 185731884, 666807654, 2411232323, 8775030469, 32116140922, 118140471159, 436562054005, 1619822016901, 6032412049450, 22540721852899, 84482649360282, 317523643649243, 1196446287980446, 4518876455585091, 17104464076143117, 64872479288183389, 246502477399368540, 938287763893623354, 3577293736426745728, 13659400465995470020, 52230735177304685498, 199986574064846717293, 766693516152072268435, 2942781147766734105112, 11307873518450404115296, 43497531888379943600459, 167488482474424405233368, 645534946426061621352381, 2490282014595272834498448], 197324721525621472469898814362544352909726609300953\ 3988910955486481441708971078427023115899452813070800455442322691186657765663552\ 2870202417207309451164415558700940608669297506937926977888998314608246539347209\ 2516380864310329663854455249976000001388475220673641966424156506384668506840286\ 1497443226379029180838498241271888219489575549354482181419573246221715622229884\ 6313368871973423912611549662041119696619175450726250357047728654054160241482940\ 1580711597425059722874132349325433944214989889314595234240322243329330582363333\ 8967960143758557810280001533984366557276982410479836150389357016728990] ---------------------------- (A,B)= , {1, 2, 3, 4}, {2, 3} [P^2*x^8+2*P^2*x^7+P^2*x^6-2*P*x^7-2*P*x^6+2*P^2*x^4+x^6+P^2*x^3-2*P*x^4-P^2*x^ 2-3*P*x^3+2*P*x^2+2*x^3+P^2-x^2-2*P+1, (C*x^3-x^3-1)/((x^4+x^3)*C-x^4-x^3-1), { -3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-2*(n-2)*(26*n-149)*a(n-2)-3*(n-3)*(13* n-48)*a(n-3)+(n-4)*(103*n-503)*a(n-4)+(-11*n^2+321*n-1300)*a(n-5)+(-140*n^2+ 1110*n-1732)*a(n-6)+(28*n^2-162*n-328)*a(n-7)+(31*n^2-339*n+1304)*a(n-8)+(-45*n ^2-831*n+10740)*a(n-9)+(-53*n^2+465*n-1516)*a(n-10)+(-54*n^2+1836*n-13464)*a(n-\ 11)+(79*n^2-2067*n+13892)*a(n-12)+(98*n^2-2916*n+20968)*a(n-13)+(-15*n^2+375*n-\ 2220)*a(n-14)+2*(n-13)*(29*n-448)*a(n-15)+(122*n^2-3426*n+23800)*a(n-16)+28*(2* n-25)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6 ) = 2, a(7) = 5, a(8) = 14, a(9) = 43, a(10) = 137, a(11) = 447, a(12) = 1492, a(13) = 5076, a(14) = 17541, a(15) = 61400, a(16) = 217256, a(17) = 775843}, [0 , 0, 0, 0, 1, 2, 5, 14, 43, 137, 447, 1492, 5076, 17541, 61400, 217256, 775843, 2792691, 10122125, 36910821, 135320980, 498484417, 1844157344, 6848900582, 25524814637, 95430390282, 357827948270, 1345305884607, 5070317883008, 19152934528238, 72501840244720, 274986627706238, 1044876273058363, 3977009028325917, 15161403246489102, 57885585500724415, 221314894057105365, 847275063104590327, 3247724645601988449, 12463645635704340743, 47884463821428730457, 184163048249877844504, 708998493156191169909, 2732130544996813015909, 10537821519235485724043, 40679429497255297208264, 157165113713273202628624, 607685070859494438894282, 2351402686201317631636620, 9105155519105324958695219], 836488097238059358104001791856488945360812152272963\ 4447867963054274262758585517068204630881469529521542018183115172942083773333123\ 3160588642773355243652041083503446944580527538207252227291291909181367015382125\ 5836682110934468348409971016963881184633578552951833482536213350299967017701436\ 7042360119733812888139406133001569059821593451002225943823709439712674973790755\ 5446046166563687279794142546719195602477108892248849892860415171129041164426967\ 7660159214694065225571712610040438475598716238503948534040049204014358562331430\ 7711618303867954239188556768471072578166796952986745668860425464576008] ---------------------------- (A,B)= , {1, 2, 3, 4}, {2, 4} [P^2*x^9+2*P^2*x^8+P^2*x^7-2*P*x^8+2*P^2*x^6-2*P*x^7+2*P^2*x^5-2*P*x^6+x^7-P^2* x^4-4*P*x^5+P*x^4+2*x^5-P^2*x+P^2+2*P*x-2*P-x+1, (-1+(x^4+x^2)*C)/(-1+(x^5+x^4+ x^2)*C), {-4*n*(n-4)*a(n)+(n-1)*(41*n-210)*a(n-1)-9*(n-2)*(15*n-91)*a(n-2)+14*( n-3)*(11*n-74)*a(n-3)-4*(n-4)*(13*n-105)*a(n-4)+(-44*n^2+248*n-120)*a(n-5)+(157 *n^2-1147*n+1098)*a(n-6)+(-171*n^2+1659*n-2814)*a(n-7)+(-54*n^2+180*n+1020)*a(n -8)+(87*n^2-993*n+3222)*a(n-9)+(-49*n^2-881*n+12582)*a(n-10)+(-57*n^2+1713*n-\ 14466)*a(n-11)+(49*n^2-487*n+786)*a(n-12)+(8*n^2-164*n+792)*a(n-13)+(-30*n^2+ 1092*n-9492)*a(n-14)+2*(n-15)*(71*n-1154)*a(n-15)+(139*n^2-4327*n+33678)*a(n-16 )+(82*n^2-2518*n+19380)*a(n-17)+(122*n^2-3914*n+31140)*a(n-18)+28*(n-18)*(2*n-\ 29)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a( 7) = 3, a(8) = 7, a(9) = 21, a(10) = 62, a(11) = 193, a(12) = 620, a(13) = 2048 , a(14) = 6910, a(15) = 23719, a(16) = 82577, a(17) = 290900, a(18) = 1035036, a(19) = 3714211}, [0, 0, 0, 0, 1, 1, 3, 7, 21, 62, 193, 620, 2048, 6910, 23719, 82577, 290900, 1035036, 3714211, 13426894, 48851246, 178744531, 657308645, 2428020462, 9005010505, 33519390593, 125182180972, 468918289487, 1761366915185, 6632902996343, 25036468064988, 94707015767275, 358974176059837, 1363187499325541, 5185669127617753, 19758849054814144, 75401776585141453, 288153668472083021, 1102687643543767188, 4225060849576336631, 16208196132789855292, 62248561856301440811, 239326508021928085260, 921075152833626134369, 3548296178185970710772, 13681842420958364827074, 52801966735101418325340, 203947609947788450772525, 788376332382288548644053, 3049857254390588472212391], 269056989228392070948134778977945963291958269126768\ 8188054609224562087967740231646402072991635973680077946117198146800860830744630\ 9214772897058875852813497850785223269954619684551995167819216942126652640432101\ 8906728882657997058989626644478314108758627061777520890320444735123516665814314\ 3324326414147596081776587889384194228278115076740106319598115150901487233721568\ 4310279660921993459982754439442065448354119158564910143104444669776475988136348\ 2251446523115887723721176894737680409191758436120531388468512780618826902683514\ 0105055012155966487624658102553001131677531724320751663837411465969101] ---------------------------- (A,B)= , {1, 2, 3, 4}, {2, 5} [P^2*x^11+4*P^2*x^10+5*P^2*x^9-2*P*x^10+4*P^2*x^8-6*P*x^9+8*P^2*x^7-6*P*x^8+x^9 +10*P^2*x^6-10*P*x^7+2*x^8+2*P^2*x^5-16*P*x^6+2*x^7+P^2*x^4-7*P*x^5+6*x^6+5*P^2 *x^3-2*P*x^4+5*x^5-P^2*x^2-10*P*x^3+x^4-3*P^2*x+2*P*x^2+5*x^3+P^2+6*P*x-x^2-2*P -3*x+1, ((x^5+x^3+x^2)*C+x^4+x^2+x-1)/((x^6+x^5+x^3+x^2)*C+x^5+x^4+x^2+x-1), {-\ 5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-2*(n-2)*(172*n-1173)*a(n-2)+2*(n-3)*( 331*n-2630)*a(n-3)+3*(19*n+237)*(n-4)*a(n-4)-4*(n-5)*(424*n-3279)*a(n-5)+(1187* n^2-17797*n+64080)*a(n-6)+(1182*n^2-16326*n+56124)*a(n-7)+(-1693*n^2+21095*n-\ 59196)*a(n-8)+(673*n^2-12539*n+54420)*a(n-9)+(1507*n^2-15215*n+5856)*a(n-10)+(-\ 854*n^2+17650*n-89352)*a(n-11)+(-976*n^2+22112*n-137124)*a(n-12)+(-333*n^2+ 18621*n-170544)*a(n-13)+(21*n^2-6621*n+104652)*a(n-14)+(320*n^2-22378*n+251556) *a(n-15)+(666*n^2-27222*n+253872)*a(n-16)+(1730*n^2-63328*n+572220)*a(n-17)+( 2176*n^2-79160*n+718608)*a(n-18)+(1538*n^2-55204*n+496692)*a(n-19)+(1144*n^2-\ 41420*n+374304)*a(n-20)+(915*n^2-34209*n+317604)*a(n-21)+(418*n^2-16094*n+ 153384)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a (4) = 0, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 36, a(10) = 103, a(11) = 302, a(12) = 910, a(13) = 2814, a(14) = 8914, a(15) = 28862, a(16) = 95308, a (17) = 320293, a(18) = 1093182, a(19) = 3782209, a(20) = 13242502, a(21) = 46850692, a(22) = 167269791, a(23) = 601986194}, [0, 0, 0, 0, 1, 2, 5, 13, 36, 103, 302, 910, 2814, 8914, 28862, 95308, 320293, 1093182, 3782209, 13242502, 46850692, 167269791, 601986194, 2181748517, 7956360664, 29174981805, 107505886576, 397883603428, 1478393686223, 5512758213845, 20622878328107, 77376028904367, 291092795874900, 1097813737214911, 4149670773557213, 15718518343281063, 59656255262587151, 226823110454084629, 863877524119977889, 3295357561087469900, 12589108384837277303, 48160398464337158872, 184481156353640172248, 707535289857123376464, 2716742307591857436963, 10443007664640864743607, 40184107577059201932894, 154778766548915125093898, 596726424912576681519009, 2302640296121570913434846], 1842360895474582767157441\ 9184799540667583404196937887671665584152937682637416221970855134343395669349031\ 9340509294996314561874637211585816863467655031184010229607924365573704189403122\ 7252275819818431660622235137007217841198374353167582477235570338325646157076543\ 8294986223309012433847022064423608833099647706994577959279138285339343395818030\ 9753325606593592944540928491852947691835805956102572321274128043073039169129235\ 7555620101586092328608586310405899275222535080875824662118769167748069164210017\ 8995317323375947920954803241937777563247237189402683679968895513851008464171704\ 14986015991772309] ---------------------------- (A,B)= , {1, 2, 3, 4}, {3, 4} [P^2*x^9+2*P^2*x^8+3*P^2*x^7-2*P*x^8+2*P^2*x^6-4*P*x^7+P^2*x^5-4*P*x^6+x^7-P^2* x^4-2*P*x^5+2*x^6-P^2*x^3+P*x^4+x^5-P^2*x^2+2*P*x^3+2*P*x^2-x^3+P^2-x^2-2*P+1, (-1+(x^4+x^3)*C)/(-1+(x^5+x^4+x^3)*C), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1 )-6*(n-2)*(11*n-74)*a(n-2)-(n-3)*(47*n-266)*a(n-3)+10*(n-4)*(7*n-54)*a(n-4)+(73 *n^2-991*n+3150)*a(n-5)+(85*n^2-601*n+474)*a(n-6)+(-65*n^2+1187*n-5214)*a(n-7)+ (-111*n^2+1485*n-4242)*a(n-8)+(-112*n^2+28*n+8424)*a(n-9)+(-13*n^2-1601*n+16554 )*a(n-10)+(-8*n^2+152*n-3528)*a(n-11)+(-9*n^2+1809*n-20082)*a(n-12)+(-42*n^2+ 2364*n-22272)*a(n-13)+(-4*n^2+496*n-5592)*a(n-14)+(154*n^2-4660*n+35280)*a(n-15 )+(264*n^2-8040*n+61104)*a(n-16)+(276*n^2-8556*n+66072)*a(n-17)+18*(9*n-130)*(n -17)*a(n-18)+28*(n-18)*(2*n-29)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 17, a(10) = 50, a(11) = 154 , a(12) = 495, a(13) = 1636, a(14) = 5523, a(15) = 18974, a(16) = 66121, a(17) = 233152, a(18) = 830313, a(19) = 2982049}, [0, 0, 0, 0, 1, 1, 2, 6, 17, 50, 154, 495, 1636, 5523, 18974, 66121, 233152, 830313, 2982049, 10788359, 39278779 , 143810513, 529149436, 1955647494, 7256583327, 27023179041, 100962416338, 378335857946, 1421611602208, 5355185628349, 20219657551082, 76507465035682, 290066607490106, 1101782051357958, 4192217867750854, 15976939665364021, 60981897507561861, 233091197503642321, 892137865028231771, 3418896313203309931, 13117685983664933948, 50386923639205177900, 193750110919601459278, 745771465616292541277, 2873341376448512491767, 11080668035315326216849, 42768396513415145370110, 165211653135825041442038, 638708438791522032995406, 2471118545588101609040814], 218975260775071404579393320312145164292241678568698\ 5419498078189564758397792894962918539662678991728011999854364798049154402130948\ 8199654984107474329682568088862343438430781700427093047985042264746436303149458\ 6595589730227656520921935317067018659708407520937827186302409481728040472689386\ 6826978748026450996368811516742685223905994114513234605938932088788357189204767\ 3125247955137143133326608863984462238343198488558707681272158209174104731513780\ 8247839809842762058476135734107142878832036865110091991878480594453628171100197\ 1510873240858192344317500669239870730698137631661791008353520774077314] ---------------------------- (A,B)= , {1, 2, 3, 4}, {3, 5} [P^2*x^11+4*P^2*x^10+7*P^2*x^9-2*P*x^10+8*P^2*x^8-8*P*x^9+7*P^2*x^7-12*P*x^8+x^ 9+8*P^2*x^6-12*P*x^7+4*x^8+3*P^2*x^5-12*P*x^6+5*x^7+P^2*x^4-9*P*x^5+4*x^6-2*P^2 *x^3-2*P*x^4+6*x^5+2*P^2*x^2+4*P*x^3+x^4-3*P^2*x-4*P*x^2-2*x^3+P^2+6*P*x+2*x^2-\ 2*P-3*x+1, ((x^5+x^4+x^2)*C+x^4+x^3+x-1)/((x^6+x^5+x^4+x^2)*C+x^5+x^4+x^3+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-8*(n-2)*(46*n-309)*a(n-2)+6*(n-3)*( 163*n-1204)*a(n-3)-6*(n-4)*(245*n-1923)*a(n-4)+168*(n-5)*(9*n-73)*a(n-5)+(-1195 *n^2+17717*n-63252)*a(n-6)+(526*n^2-7706*n+28068)*a(n-7)+(-599*n^2+4801*n-240)* a(n-8)+(824*n^2-11368*n+36432)*a(n-9)+(-112*n^2-1000*n+20160)*a(n-10)+(508*n^2-\ 7574*n+19704)*a(n-11)+(50*n^2+7376*n-99312)*a(n-12)+(-94*n^2+8120*n-77220)*a(n-\ 13)+(-349*n^2+11393*n-87012)*a(n-14)+(183*n^2-7455*n+70032)*a(n-15)+(1316*n^2-\ 48058*n+432000)*a(n-16)+(2428*n^2-88004*n+789600)*a(n-17)+(2942*n^2-104932*n+ 934416)*a(n-18)+(2961*n^2-105411*n+937260)*a(n-19)+(2406*n^2-87318*n+789480)*a( n-20)+(1373*n^2-51067*n+471780)*a(n-21)+6*(79*n-1364)*(n-21)*a(n-22)+36*(2*n-35 )*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 10, a(9) = 27, a(10) = 75, a(11) = 214, a(12) = 633, a(13) = 1939, a(14) = 6122, a(15) = 19841, a(16) = 65772, a(17) = 222285, a(18) = 763671, a(19) = 2660382, a(20) = 9378081, a(21) = 33393609, a(22) = 119942215, a(23) = 434040329}, [0, 0, 0, 0, 1, 2, 4, 10, 27, 75, 214, 633, 1939, 6122, 19841, 65772, 222285, 763671, 2660382, 9378081, 33393609, 119942215, 434040329, 1580946395, 5791425372, 21322865748, 78859660232, 292825378928, 1091271778134, 4080171583318, 15300887197123, 57535488774009, 216889446622139, 819480600162740 , 3102849863628708, 11771649656876954, 44741265557937215, 170341192467472835, 649565694142877316, 2480702198505188162, 9487124561718552880, 36330121413079839320, 139295918637442167260, 534710919358883777318, 2054854827748136716755, 7904951343685605414792, 30440356960543938119941, 117330539559670972584108, 452650590349713396018424, 1747781627613894799045873], 1430813948198699211212805072197493785106151345488953952826019678221506582391867\ 7351349259003415593812633746129794850800794471635935242572140295838664642653081\ 2907109745635509733772957193932319386825814881366793390633713283394021684039488\ 5217094074986630503727137643206264997876181954109564671204098204256982562161259\ 8268661860764040400794641039239203581507479828666844565096151802505520062833132\ 4170871429390910905788977579779707551827270441748757392632604395372499267380079\ 3328309398509441144902866560644599930342944183359358806532107760939317710975804\ 530989482008228315683294125786153784660203] ---------------------------- (A,B)= , {1, 2, 3, 4}, {4, 5} [P^2*x^11+4*P^2*x^10+7*P^2*x^9-2*P*x^10+10*P^2*x^8-8*P*x^9+11*P^2*x^7-14*P*x^8+ x^9+8*P^2*x^6-18*P*x^7+4*x^8+2*P^2*x^5-16*P*x^6+7*x^7-P^2*x^4-7*P*x^5+8*x^6-3*P ^2*x^3+2*P*x^4+5*x^5-3*P^2*x^2+6*P*x^3-x^4+6*P*x^2-3*x^3+P^2-3*x^2-2*P+1, ((x^5 +x^4+x^3)*C+x^4+x^3+x^2-1)/((x^6+x^5+x^4+x^3)*C+x^5+x^4+x^3+x^2-1), {-5*n*(n-5) *a(n)+6*(n-1)*(7*n-44)*a(n-1)-2*(n-2)*(32*n-267)*a(n-2)-3*(n-3)*(61*n-416)*a(n-\ 3)+3*(n-4)*(77*n-711)*a(n-4)+(n-5)*(511*n-4188)*a(n-5)+(33*n^2+345*n-3168)*a(n-\ 6)+(-538*n^2+11060*n-51528)*a(n-7)+(-967*n^2+16265*n-67692)*a(n-8)+(-805*n^2+ 7433*n-840)*a(n-9)+(255*n^2-14517*n+117288)*a(n-10)+(1246*n^2-28376*n+157740)*a (n-11)+(1162*n^2-15182*n+7860)*a(n-12)+(290*n^2+15284*n-247380)*a(n-13)+(-201*n ^2+25893*n-306420)*a(n-14)+(349*n^2-2735*n-20988)*a(n-15)+(1928*n^2-63340*n+ 524832)*a(n-16)+(3747*n^2-129675*n+1119528)*a(n-17)+(4596*n^2-161604*n+1419168) *a(n-18)+(4078*n^2-145076*n+1289196)*a(n-19)+(2760*n^2-99876*n+900960)*a(n-20)+ 9*(157*n-2683)*(n-20)*a(n-21)+6*(79*n-1364)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a (n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 12, a(10) = 31, a(11) = 84, a(12) = 243, a(13) = 739, a(14) = 2339, a(15) = 7648, a(16) = 25656, a(17) = 87823, a(18) = 305501, a(19) = 1076612, a(20) = 3834777, a(21) = 13781324, a(22) = 49902697, a(23) = 181877851 }, [0, 0, 0, 0, 1, 1, 2, 5, 12, 31, 84, 243, 739, 2339, 7648, 25656, 87823, 305501, 1076612, 3834777, 13781324, 49902697, 181877851, 666642064, 2455652444, 9085719223, 33749508287, 125811554982, 470514443393, 1764816046635, 6637297126700, 25023806192267, 94558842358700, 358066416630652, 1358538200316482, 5163784143111659, 19660719857444717, 74975301164015721, 286339580621060880, 1095089905437160354, 4193607186576797132, 16079137203551155719, 61722702088427651824, 237195761940499367620, 912480326117047914109, 3513754510837926742748, 13543444407461510569269, 52248847165809025442278, 201741690601445752495080, 779594459031371514086777], 6582892765265544403479630332660059710251569727128416725856439588053422686126127\ 8057992396147862266392342568522558721855923864529084338250520982520269791235630\ 3847945933818686163098713721431161223117179508126601233414445984640758190420281\ 7028576859442679253548871608724792592196384334666257729253101061273637204979912\ 9866303636294704417098322658875222114605665394311787511840879038124874074635401\ 8543893103091409395018951773708984955646511970418324417497504955825631781735994\ 9024222439483197065404487348049910396581565966793526668750065155014949374522745\ 43151625599798333369518663906001983361590] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 2, 3} [P^2*x^8+2*P^2*x^4-P^2*x^3-2*P*x^4+P*x^3+P^2-2*P+1, -1/(C*x^4-x^4-1), {-3*n*(n-\ 3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-28*(n-2)*(2*n-11)*a(n-2)+3*n*(n-3)*a(n-3)-4*(8 *n-7)*(n-4)*a(n-4)+(106*n^2-660*n+680)*a(n-5)+(-104*n^2+684*n-472)*a(n-6)-(n+32 )*(n-5)*a(n-8)+(14*n^2+90*n-968)*a(n-9)+(-40*n^2+108*n+904)*a(n-10)-2*(n-8)*(n-\ 10)*a(n-13)+4*(2*n-19)*(n-10)*a(n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 42, a(10) = 133, a(11) = 433 , a(12) = 1444, a(13) = 4910, a(14) = 16961}, [0, 0, 0, 0, 1, 2, 5, 14, 42, 133 , 433, 1444, 4910, 16961, 59359, 210020, 749999, 2699744, 9785714, 35686185, 130839626, 482007965, 1783318588, 6623377656, 24685845734, 92299166554, 346106568416, 1301307551561, 4904743036912, 18528379299495, 70140862012145, 266043456306494, 1010936424031305, 3847978306338905, 14670051664940697, 56011613080914954, 214157331127482493, 819899608822694156, 3142886863796322677, 12061666447369799583, 46341378334765440229, 178233102454851296860, 686186594398088013922, 2644289076103437034929, 10199254780092091067929, 39373330401784006685286, 152122252205528816345108, 588198734554434540286528, 2276046333540513132362919, 8813526069832679341723996], 810413912126464235130128\ 1509883309206078855375880476645044008440913276830607196280789830922280346519264\ 3390069121083029566551982013789381791105493205611427951729397961040560267517301\ 9541333930838679790812331254456632480980670485890385384389501408911628122233531\ 8501525237308630531834604333068076531491016588728804008317472507008156103868672\ 5418092838047845190727732972706476388147800449967208207040815286686462338400910\ 5525195601352523492360416299338702425412919691298572660215100796120085790718978\ 9143887375559059265082673814875260805774960490629480893313445508951103209005678\ 730756565030948389] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 2, 4} [P^2*x^9+2*P^2*x^6-2*P*x^6-P^2*x^4+P^2*x^3+P*x^4-2*P*x^3-P^2*x+x^3+P^2+2*P*x-2* P-x+1, (C*x^2-1)/(-1+(x^5+x^2)*C), {-4*n*(n-4)*a(n)+(n-1)*(41*n-210)*a(n-1)-9*( n-2)*(15*n-91)*a(n-2)+(n-3)*(149*n-1022)*a(n-3)-2*(n-4)*(2*n-105)*a(n-4)-2*(5*n -23)*(17*n-90)*a(n-5)+(176*n^2-2018*n+5640)*a(n-6)+(9*n^2+471*n-3318)*a(n-7)+(-\ 193*n^2+1327*n+870)*a(n-8)+(113*n^2-1175*n+1650)*a(n-9)+(37*n^2-79*n-1302)*a(n-\ 10)+(-110*n^2+758*n+972)*a(n-11)+(43*n^2-247*n-1242)*a(n-12)+(-18*n^2+522*n-\ 3468)*a(n-13)+(23*n^2-833*n+6486)*a(n-14)+6*(n-11)*(n-10)*a(n-15)-2*(7*n-78)*(n -13)*a(n-16)+12*(2*n-25)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 3, a(8) = 7, a(9) = 20, a(10) = 60, a(11) = 186 , a(12) = 600, a(13) = 1984, a(14) = 6705, a(15) = 23046, a(16) = 80325, a(17) = 283237}, [0, 0, 0, 0, 1, 1, 3, 7, 20, 60, 186, 600, 1984, 6705, 23046, 80325, 283237, 1008576, 3621709, 13100046, 47685685, 174554708, 642141892, 2372779245, 8802706899, 32774903406, 122430449747, 458707404618, 1723341971605, 6490839582541, 24504135731316, 92706860131629, 351440080592314, 1334742783578772, 5078047102424147, 19350845811575542, 73852141006770032, 282257830037932904, 1080219702477745104, 4139309912486963016, 15880453808251273713, 60994243128729460479, 234519976680929825131, 902634610807963024869, 3477468073513209881173, 13409508459632926954477, 51753780571963797233649, 199909357608383965371983, 772804257551986594773441, 2989756689841479620424538], 264241693756094865702296996655216054615567830856996\ 1295107860533264635238407499204165773371530978463252544923506095202213551376699\ 5290576772897360676279326650411782856032689803079153769459272925203342948072508\ 9065273558103199017756205816315775441453614907914714549559617252321231152213968\ 2841213683750397297397940254773525244638094278364038423801181883408136201818038\ 1719397167019764897969243557463282053551927620100713883673226181509827096651416\ 2265423954441501133612662480651999698402157222142490072201388963040584917460826\ 7685253530658845470923934896193792056471293624233743665805776445328607] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 2, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^8+6*P^2*x^7-2*P*x^8+4*P^2*x^6-6*P*x^7-2*P^2*x^5-4* P*x^6+4*P^2*x^4+P*x^5+5*P^2*x^3-8*P*x^4+x^5-P^2*x^2-10*P*x^3+4*x^4-3*P^2*x+2*P* x^2+5*x^3+P^2+6*P*x-x^2-2*P-3*x+1, ((x^3+x^2)*C+x^2+x-1)/((x^6+x^3+x^2)*C+x^5+x ^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-2*(n-2)*(172*n-1173)*a(n-2) +2*(n-3)*(331*n-2630)*a(n-3)+3*(13*n+255)*(n-4)*a(n-4)-5*(n-5)*(295*n-2436)*a(n -5)+(267*n^2-7215*n+33708)*a(n-6)+(2433*n^2-34371*n+121140)*a(n-7)+(-948*n^2+ 13494*n-46068)*a(n-8)+(-1572*n^2+24378*n-95628)*a(n-9)+(1107*n^2-13527*n+25656) *a(n-10)+(572*n^2-2224*n-34416)*a(n-11)+(-1254*n^2+20790*n-83088)*a(n-12)+(-279 *n^2+1653*n+26148)*a(n-13)+(230*n^2-2116*n+3264)*a(n-14)+(-200*n^2+4240*n-22368 )*a(n-15)+(64*n^2-6104*n+68904)*a(n-16)+(241*n^2-8927*n+78324)*a(n-17)+4*(8*n-\ 123)*(n-26)*a(n-18)+(77*n^2-2365*n+18168)*a(n-19)+(130*n^2-4190*n+33720)*a(n-20 )+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 35, a(10) = 99, a(11) = 288, a(12) = 864, a(13) = 2666, a(14) = 8440, a(15) = 27344, a(16) = 90421, a(17) = 304429, a(18) = 1041159, a(19) = 3609698, a(20) = 12663835, a(21) = 44887356}, [0, 0, 0 , 0, 1, 2, 5, 13, 35, 99, 288, 864, 2666, 8440, 27344, 90421, 304429, 1041159, 3609698, 12663835, 44887356, 160534661, 578639354, 2100027101, 7667731056, 28147175955, 103818451233, 384564431121, 1429988807800, 5335867552754, 19973205454802, 74979111027258, 282213115183709, 1064794646981971, 4026470216721395, 15257399696117463, 57925434081880765, 220309363018383688, 839304445415911277, 3202448395430419434, 12237097017329657085, 46824141081484243092, 179399545073346088519, 688178252652624867523, 2642891435512299353019, 10160838725558144065512, 39104512246830496631577, 150642811692547879459447, 580862107525954019332988, 2241719117833596348595021], 1801534000015351800739824428875244059439862738546570099491159431824803784342270\ 8104150920949691656716873724012981484856355934070729468003320859904860586035607\ 9669588814943099906711452640746310306124774310664382528916711607656370178375072\ 0293395520959428901862704198697171182523164810769381025006171280171006036915688\ 2694260765054406565842873986387959392777116914744424885715130996527293822446611\ 7126414620907196245496823281591934839078322188759093055272014139297895596367024\ 3296019271044746275241773351850034345020539468663756116599787498958502540517392\ 490257115534895431026818797925641117320124] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 3, 4} [P^2*x^9+2*P^2*x^7-2*P*x^7+P^2*x^5-P^2*x^4-2*P*x^5+P*x^4+x^5-P^2*x^2+2*P*x^2+P^ 2-x^2-2*P+1, (C*x^3-1)/(-1+(x^5+x^3)*C), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n -1)-6*(n-2)*(11*n-74)*a(n-2)-4*(n-3)*(13*n-70)*a(n-3)+6*(n-4)*(19*n-122)*a(n-4) +(-20*n^2+8*n+480)*a(n-5)+(62*n^2-182*n-1212)*a(n-6)+(-49*n^2+139*n+1338)*a(n-7 )+(-10*n^2+928*n-6120)*a(n-8)+(-75*n^2-297*n+7338)*a(n-9)+(22*n^2-412*n+3120)*a (n-10)+(-43*n^2+919*n-7254)*a(n-11)+(15*n^2-639*n+4926)*a(n-12)+(-26*n^2+1286*n -11100)*a(n-13)+(62*n^2-1706*n+11772)*a(n-14)+(-46*n^2+1240*n-8280)*a(n-15)+(91 *n^2-2623*n+18846)*a(n-16)-2*(11*n-134)*(n-15)*a(n-17)+20*(2*n-27)*(n-16)*a(n-\ 18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 16, a(10) = 48, a(11) = 149, a(12) = 479, a(13) = 1587, a(14) = 5368, a(15) = 18471, a(16) = 64450, a(17) = 227489, a(18) = 810817}, [0, 0, 0 , 0, 1, 1, 2, 6, 16, 48, 149, 479, 1587, 5368, 18471, 64450, 227489, 810817, 2914026, 10548318, 38423520, 140737907, 518031161, 1915161940, 7108340699, 26477687806, 98946290140, 370854671169, 1393751592091, 5251095933886, 19829602204790, 75041820518360, 284545580338520, 1080936380590544, 4113342401671584, 15677898188656701, 59846037992001001, 228769366445150164, 875667151425842199, 3356030496376554713, 12877396762507940543, 49467246919067764552, 190225720601737430032, 732249176575608603870, 2821400912513281967653, 10880946438029222876500, 41999648467741197332783, 162249818638412003987753, 627286629272341051700789, 2427033889403210035349713], 2154344642191760358291964780014655182998486514640575359019300085312526005562122\ 2902978828878783851357973313874715702739478769866387106916639607597495300768793\ 1082049805921502875230332652128982497395241995207448441631667173094329093986418\ 4819386290627208027982372286859669359746326144623591860207909618233498863020121\ 8005188616559512621120862759516308248819684216581605597790500867606257834111332\ 3502678312262505285987585344594079599678088807088691657566929307452334146106587\ 9046681027845579149394698041074039036560571621992201330617559221811409847242028\ 967160629634687000067454892631931373662850] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 3, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9+4*P^2*x^8-2*P*x^9+3*P^2*x^7-4*P*x^8+6*P^2*x^6-4* P*x^7-P^2*x^5-8*P*x^6+x^7+4*P^2*x^4-P*x^5+2*x^6-2*P^2*x^3-8*P*x^4+2*x^5+2*P^2*x ^2+4*P*x^3+4*x^4-3*P^2*x-4*P*x^2-2*x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, ((x^4+x^2)*C+ x^3+x-1)/((x^6+x^4+x^2)*C+x^5+x^3+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n -1)-8*(n-2)*(46*n-309)*a(n-2)+6*(n-3)*(163*n-1204)*a(n-3)-24*(n-4)*(62*n-483)*a (n-4)+(n-5)*(1733*n-13200)*a(n-5)+(-2167*n^2+28757*n-94500)*a(n-6)+(2386*n^2-\ 32630*n+111396)*a(n-7)+(-2254*n^2+29984*n-95784)*a(n-8)+(1994*n^2-29938*n+ 109152)*a(n-9)+(-1172*n^2+18400*n-71160)*a(n-10)+(960*n^2-13590*n+40596)*a(n-11 )+(-608*n^2+12706*n-75048)*a(n-12)+(141*n^2-1167*n+324)*a(n-13)+(-88*n^2+2498*n -13176)*a(n-14)+(62*n^2-4486*n+51264)*a(n-15)+6*(3*n-47)*(11*n-204)*a(n-16)+( 399*n^2-15501*n+143820)*a(n-17)+(380*n^2-13126*n+113016)*a(n-18)+10*(n-17)*(35* n-624)*a(n-19)+4*(55*n-914)*(n-18)*a(n-20)+18*(9*n-148)*(n-19)*a(n-21)+28*(2*n-\ 33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 10, a(9) = 26, a(10) = 71, a(11) = 202, a(12) = 597, a(13 ) = 1830, a(14) = 5790, a(15) = 18821, a(16) = 62596, a(17) = 212230, a(18) = 731274, a(19) = 2554177, a(20) = 9024130, a(21) = 32195820, a(22) = 115832103}, [0, 0, 0, 0, 1, 2, 4, 10, 26, 71, 202, 597, 1830, 5790, 18821, 62596, 212230, 731274, 2554177, 9024130, 32195820, 115832103, 419759996, 1530778009, 5613445853, 20685988481, 76563275272, 284489492430, 1060831784502, 3968424287912, 14888710439332, 56008721928381, 211212398444129, 798298179795463 , 3023564143604778, 11474030081905721, 43621129831315686, 166115182807786581, 633586322542314771, 2420156111376657502, 9257274168041045454, 35455984314322458890, 135965972891212432671, 522006017501403323265, 2006310365029984970735, 7719212014805728366490, 29728768628459487052187, 114601043023640921425802, 442168793119069010121398, 1707485666057827201415933], 1402814707957472407907330347825220314305192176225536555747395716768533093484305\ 0764866336982295519639252941463569853695322297205803124094074165369777011596136\ 4955028257104559725036871463716146702995025033269969484434932200426884655914685\ 6322848935269465477734522924908712356480527062069540627031778854400838153577177\ 1069478003262646248290313844232741450404547367334489948373200435316244012812577\ 2908376988650143474778381020105693032599974319195524199768809937305947855580658\ 8587309682719710110643303537050528124176491180646502057651714267645860406619449\ 835015106813975130869075201356692723940801] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9+6*P^2*x^8-2*P*x^9+5*P^2*x^7-6*P*x^8+4*P^2*x^6-6* P*x^7+2*P^2*x^5-8*P*x^6+x^7+2*P^2*x^4-7*P*x^5+4*x^6-3*P^2*x^3-4*P*x^4+5*x^5-3*P ^2*x^2+6*P*x^3+2*x^4+6*P*x^2-3*x^3+P^2-3*x^2-2*P+1, ((x^4+x^3)*C+x^3+x^2-1)/((x ^6+x^4+x^3)*C+x^5+x^3+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-2*(n-2)* (32*n-267)*a(n-2)-3*(n-3)*(61*n-416)*a(n-3)+3*(n-4)*(71*n-693)*a(n-4)+(n-5)*( 667*n-4908)*a(n-5)+(-251*n^2+3943*n-14532)*a(n-6)+(-961*n^2+16301*n-67488)*a(n-\ 7)+(-366*n^2+5628*n-21060)*a(n-8)+(322*n^2-8870*n+54960)*a(n-9)+(125*n^2-8287*n +65448)*a(n-10)+(472*n^2-9812*n+50160)*a(n-11)+(570*n^2-4854*n-23304)*a(n-12)+( 52*n^2+6700*n-98544)*a(n-13)+(8*n^2+2462*n-29976)*a(n-14)+(369*n^2-9501*n+72048 )*a(n-15)+(490*n^2-15938*n+133008)*a(n-16)+(603*n^2-21621*n+190140)*a(n-17)+( 792*n^2-27504*n+237240)*a(n-18)+(535*n^2-18743*n+163752)*a(n-19)+(302*n^2-10342 *n+88392)*a(n-20)+(202*n^2-7082*n+61776)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0 , a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 11, a(10) = 29, a(11) = 79, a(12) = 229, a(13) = 702, a(14) = 2236, a (15) = 7354, a(16) = 24786, a(17) = 85152, a(18) = 297037, a(19) = 1049022, a( 20) = 3742672, a(21) = 13467693, a(22) = 48817103}, [0, 0, 0, 0, 1, 1, 2, 5, 11 , 29, 79, 229, 702, 2236, 7354, 24786, 85152, 297037, 1049022, 3742672, 13467693, 48817103, 178069000, 653127194, 2407242068, 8910914160, 33113935172, 123486799757, 461966375024, 1733238813509, 6520164896625, 24587701297850, 92929690723457, 351961858789347, 1335600312745458, 5077375253373336, 19334447005500503, 73740653393538659, 281658180689855366, 1077306401344253597, 4125934614979263891, 15821201102485806102, 60738077068459841880, 233431773621178003219, 898072203625414564648, 3458532203236457487823, 13331540519908955634252, 51434794983102707072457, 198611083828734800153230, 767542884461652674153995], 6495089854307313713544593229519618659416345071814887\ 5816846723147248757264174457931812357923970122944250268835495628228293236101469\ 4384830167496515601893648227350119205676951521598523656794531920914210207547423\ 4612002399989738818229604492147977944380825151618611558306234136608858257720506\ 0419078662415433320674314470890588828540006474550404448429340668565259222586056\ 1891419210387586784971662773202249472664704400065058161606188528140393563793763\ 3155039609980933274135059400546157818653729894951017592201119903465996753147940\ 64423573878711931486462438865920399537309675351932412229610319275694] ---------------------------- (A,B)= , {1, 2, 3, 4}, {2, 3, 4} [P^2*x^9+2*P^2*x^8+P^2*x^7-2*P*x^8-2*P*x^7+x^7-P^2*x^4-P^2*x^3+P*x^4+2*P*x^3-x^ 3+P^2-2*P+1, (C*x^4-1)/(-1+(x^5+x^4)*C), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n -1)-36*(n-2)*(2*n-13)*a(n-2)+(5*n-14)*(n-3)*a(n-3)-8*(n-4)*(5*n-24)*a(n-4)+(61* n^2-799*n+2490)*a(n-5)+(75*n^2-681*n+1314)*a(n-6)+8*(n-7)*(n-18)*a(n-7)+(-5*n^2 +551*n-4218)*a(n-8)+(-25*n^2+409*n-822)*a(n-9)+(-60*n^2-666*n+12084)*a(n-10)+(-\ 65*n^2+329*n+1350)*a(n-11)+(12*n^2-318*n+1944)*a(n-12)+(-26*n^2+1364*n-13224)*a (n-13)+(-22*n^2+1180*n-11580)*a(n-14)+(-8*n^2+254*n-1908)*a(n-15)+(-23*n^2+623* n-4134)*a(n-16)+2*(n-15)*(29*n-506)*a(n-17)+(122*n^2-3914*n+31140)*a(n-18)+28*( 2*n-29)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a (6) = 1, a(7) = 2, a(8) = 5, a(9) = 15, a(10) = 45, a(11) = 139, a(12) = 448, a (13) = 1487, a(14) = 5041, a(15) = 17373, a(16) = 60694, a(17) = 214460, a(18) = 765070, a(19) = 2751736}, [0, 0, 0, 0, 1, 1, 2, 5, 15, 45, 139, 448, 1487, 5041, 17373, 60694, 214460, 765070, 2751736, 9967477, 36328737, 133132654, 490257432, 1813206183, 6732327127, 25085160770, 93769791236, 351546131533, 1321505877616, 4980008501981, 18809742141220, 71195753928228, 270009103108750, 1025881294854666, 3904427827286977, 14883722528331969, 56821980708622868, 217236348269361955, 831618397258637061, 3187559987791149673, 12232219619583437921, 46993432870629636321, 180729322712578727545, 695754657483757814201, 2681006930734490243402, 10340318434146600514047, 39915845858970202715236, 154210801835311175343975, 596246799525780196183653, 2307087069962291455044895], 205331887473527030963282443329032081815209709723366\ 8558601127784056705851933399812741010428349293145315416668860521131617664124746\ 2900168735491197148027350772272373397086354270489636142688467920631907797504421\ 3634500391471920839677907365979369054200323724875272992283959534832699157555697\ 8104133158302434487192487545912298057428373747310985293244790010859251882471137\ 4318979502916434345209527818923973397138075072924907266651666374453970590531105\ 2389277993308244414312270892419525017529770474786275076241904721710544807924474\ 8553951353190079207269069578914859370817145824232378053849845922287010] ---------------------------- (A,B)= , {1, 2, 3, 4}, {2, 3, 5} [P^2*x^11+4*P^2*x^10+5*P^2*x^9-2*P*x^10+2*P^2*x^8-6*P*x^9+2*P^2*x^7-4*P*x^8+x^9 +6*P^2*x^6-2*P*x^7+2*x^8+P^2*x^5-8*P*x^6-3*P^2*x^4-5*P*x^5+2*x^6+P^2*x^3+6*P*x^ 4+4*x^5+2*P^2*x^2-2*P*x^3-3*x^4-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, ((x^5+x^2)*C+x^4+x-1)/((x^6+x^5+x^2)*C+x^5+x^4+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*( 23*n-136)*a(n-1)-8*(n-2)*(46*n-309)*a(n-2)+33*(n-3)*(29*n-216)*a(n-3)-6*(n-4)*( 202*n-1677)*a(n-4)+12*(n-5)*(31*n-378)*a(n-5)+(987*n^2-12411*n+38964)*a(n-6)+(-\ 1196*n^2+20020*n-81636)*a(n-7)+(-297*n^2-2541*n+39408)*a(n-8)+(1323*n^2-16977*n +44364)*a(n-9)+(-444*n^2+9372*n-44568)*a(n-10)+(-479*n^2+1759*n+33072)*a(n-11)+ (314*n^2+512*n-59112)*a(n-12)+(270*n^2-1296*n-12636)*a(n-13)+(55*n^2-7403*n+ 94380)*a(n-14)+(-373*n^2+11729*n-100128)*a(n-15)+(-40*n^2+3836*n-48984)*a(n-16) +(859*n^2-31097*n+280884)*a(n-17)+(696*n^2-26376*n+248640)*a(n-18)+(371*n^2-\ 13645*n+126060)*a(n-19)+(766*n^2-28130*n+257256)*a(n-20)+(875*n^2-32869*n+ 306444)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0 , a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 23, a(10) = 63, a(11) = 179, a(12) = 529, a(13) = 1625, a(14) = 5163, a(15) = 16868, a(16) = 56386, a(17) = 192082, a(18) = 664669, a(19) = 2330216, a(20) = 8259502, a(21) = 29549902, a(22) = 106567283, a(23) = 386981468}, [0, 0 , 0, 0, 1, 2, 4, 9, 23, 63, 179, 529, 1625, 5163, 16868, 56386, 192082, 664669, 2330216, 8259502, 29549902, 106567283, 386981468, 1413755359, 5192339889, 19160050244, 70999732829, 264094082015, 985700201880, 3690451919558, 13856232014081, 52160164368281, 196820708149562, 744322283244612, 2820583357633381, 10708816430154275, 40729784965539768, 155167239466162592, 592051274043003185, 2262290542201250936, 8656242170094944216, 33164075160839812440, 127213242943630883770, 488532861812467874684, 1878130159656375452833, 7227757052935344540794, 27842276622182084515077, 107351557683914729239327, 414280944659316385045604, 1600097828348706892032137], 1323729537475558547469781316115828273738367382370910971208849980283506748290489\ 3271328038313384860150653376187563203194121645628498869354070692699878927964110\ 3192089050053399096069457812953554123303294741036035568234090047968528124246613\ 9495926658076486334563963034629326496523791864940846542209369017228426578146969\ 8476950302584162406088828851971429303274493876401879249785276699933474757749776\ 2535889633576547122595856949923934285239030078457732416781937711402905515849512\ 7276017865791965485334489294465316176184250680443710658166871165455116274792123\ 705420797412364530992461826566708767337466] ---------------------------- (A,B)= , {1, 2, 3, 4}, {2, 4, 5} [P^2*x^11+4*P^2*x^10+5*P^2*x^9-2*P*x^10+4*P^2*x^8-6*P*x^9+6*P^2*x^7-6*P*x^8+x^9 +4*P^2*x^6-8*P*x^7+2*x^8-2*P^2*x^5-8*P*x^6+2*x^7-P^2*x^4+P*x^5+4*x^6+2*P*x^4+x^ 5-3*P^2*x^2-x^4+6*P*x^2+P^2-3*x^2-2*P+1, ((x^5+x^3)*C+x^4+x^2-1)/((x^6+x^5+x^3) *C+x^5+x^4+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-2*(n-2)*(32*n-267)* a(n-2)-12*(n-3)*(17*n-112)*a(n-3)+3*(n-4)*(137*n-1071)*a(n-4)+24*(n-5)*(8*n-71) *a(n-5)+(-505*n^2+7253*n-25248)*a(n-6)+(392*n^2-3874*n+7440)*a(n-7)+(-193*n^2+ 3947*n-18444)*a(n-8)+(-893*n^2+10387*n-21888)*a(n-9)+(155*n^2-4963*n+33264)*a(n -10)+(392*n^2-8392*n+46740)*a(n-11)+(66*n^2-4344*n+32868)*a(n-12)+(126*n^2+4764 *n-88452)*a(n-13)+(189*n^2+4845*n-90900)*a(n-14)+(94*n^2+952*n-27180)*a(n-15)+( 38*n^2+1352*n-30264)*a(n-16)+(658*n^2-22136*n+186396)*a(n-17)+(1346*n^2-48388*n +434496)*a(n-18)+(1280*n^2-46102*n+415692)*a(n-19)+(1120*n^2-40688*n+368736)*a( n-20)+(915*n^2-34209*n+317604)*a(n-21)+(418*n^2-16094*n+153384)*a(n-22)+36*(2*n -35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 4, a(9) = 10, a(10) = 26, a(11) = 71, a(12) = 208, a(13) = 642, a(14) = 2063, a(15) = 6830, a(16) = 23140, a(17) = 79825, a(18) = 279349 , a(19) = 989057, a(20) = 3535882, a(21) = 12744505, a(22) = 46258410, a(23) = 168927509}, [0, 0, 0, 0, 1, 1, 2, 4, 10, 26, 71, 208, 642, 2063, 6830, 23140, 79825, 279349, 989057, 3535882, 12744505, 46258410, 168927509, 620195976, 2287765281, 8474761987, 31513118467, 117583113891, 440100972781, 1651945543838, 6216878209268, 23452650215263, 88669577689131, 335930651133417, 1275127618900332, 4848752389253188, 18468331741251028, 70453169848589493, 269157715117553981, 1029694876376829116, 3944309921377105030, 15127339975079568002, 58083674007575026981, 223264067309181741133, 859077190017231886916, 3308806653750381943735, 12756025487914491142248, 49220341219959109987983, 190081989459485931569573, 734661927126648862975535], 6242464324551168916106418092403496514133665705115597869770204455390695616816441\ 1253015868542397889049064765132936678918614560530018533630939715408970183777561\ 0354637156833718725657351315283694013812622639926123595270924860346144113744205\ 1435020861203769165402375603585519832253339174901929624010149054353160168937737\ 9962557941900570563876718976211670748441960543651862097697672621868945034409313\ 7344192357664492577178877136670657445410048476548277525789889078356616548049106\ 5244367287607823057737859447267893842957560633654498589361387141623245422815624\ 32858931847695267566293201545975127094000] ---------------------------- (A,B)= , {1, 2, 3, 4}, {3, 4, 5} [P^2*x^11+4*P^2*x^10+7*P^2*x^9-2*P*x^10+8*P^2*x^8-8*P*x^9+5*P^2*x^7-12*P*x^8+x^ 9+2*P^2*x^6-10*P*x^7+4*x^8-3*P^2*x^5-4*P*x^6+5*x^7-3*P^2*x^4+3*P*x^5+2*x^6-3*P^ 2*x^3+6*P*x^4+6*P*x^3-3*x^4-3*x^3+P^2-2*P+1, ((x^5+x^4)*C+x^4+x^3-1)/((x^6+x^5+ x^4)*C+x^5+x^4+x^3-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)*(2*n-\ 15)*a(n-2)+3*(n-3)*(7*n-32)*a(n-3)-54*(n-4)*(3*n-19)*a(n-4)+9*(n-5)*(27*n-232)* a(n-5)+(181*n^2-2813*n+10452)*a(n-6)+(468*n^2-5490*n+15168)*a(n-7)+(-177*n^2+ 4023*n-21096)*a(n-8)+(-453*n^2+8679*n-40188)*a(n-9)+(-890*n^2+12028*n-31176)*a( n-10)+(-429*n^2+411*n+44916)*a(n-11)+(54*n^2-7080*n+67008)*a(n-12)+(395*n^2-\ 5443*n-1680)*a(n-13)+(33*n^2+13107*n-187404)*a(n-14)+(-435*n^2+27651*n-306912)* a(n-15)+(-348*n^2+18864*n-203400)*a(n-16)+(672*n^2-21480*n+173568)*a(n-17)+( 1968*n^2-69000*n+604608)*a(n-18)+(2703*n^2-96309*n+856260)*a(n-19)+(2382*n^2-\ 86586*n+783912)*a(n-20)+(1373*n^2-51067*n+471780)*a(n-21)+6*(79*n-1364)*(n-21)* a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 8, a(10) = 20, a(11) = 54, a(12) = 161, a(13) = 507, a(14) = 1650, a(15) = 5517, a(16) = 18846, a(17) = 65442, a (18) = 230213, a(19) = 818513, a(20) = 2936266, a(21) = 10613645, a(22) = 38617450, a(23) = 141316777}, [0, 0, 0, 0, 1, 1, 1, 3, 8, 20, 54, 161, 507, 1650, 5517, 18846, 65442, 230213, 818513, 2936266, 10613645, 38617450, 141316777, 519759842, 1920298006, 7123418240, 26521000398, 99066178377, 371165353823, 1394456394995, 5252192550063, 19828449963816, 75019351018093, 284398007500152, 1080159618895729, 4109633152728347, 15661120804098936, 59772701352261546, 228456159335001390, 874351548168314259, 3350572194374788828, 12854963380425070575, 49375723174958931258, 189854500691980881479, 730750595838464037881, 2815374506484080251298, 10856788438949886668972, 41903060825861026756882, 161864493115146015179740, 625752253024799197198423], 5367370354400318234878154079180327172859828188325341322527187356546676473622113\ 5070076799537009095737638339081157508153069939482180875413147064527307196526404\ 6215742776038303489419564169909275174720142711050821462026569304002039152001012\ 3134986290622280867225350013761223642160253025128250189708572971704871306106579\ 5086245448949651712365899451183995358284138090626448186458641848221615223141504\ 5584126788439865850750119983427985716957866832253256845304579941163217034827466\ 6225204414286714627086508915147301993649982894858987826240881514220177111310706\ 33305530239194486801248165514524483523291] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 2, 3, 4} [P^2*x^9-P^2*x^4+P*x^4+P^2-2*P+1, -1/(C*x^5-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-\ 90)*a(n-1)-36*(n-2)*(2*n-13)*a(n-2)+4*n*(n-4)*a(n-4)+(-35*n^2+233*n-270)*a(n-5) +(76*n^2-694*n+1356)*a(n-6)-3*(n+6)*(n-5)*a(n-9)+(30*n^2-132*n-240)*a(n-10)-36* (n-2)*(2*n-13)*a(n-11)-(n-10)*(n-9)*a(n-14)+2*(n-10)*(2*n-21)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 14, a(10) = 43, a(11) = 134, a(12) = 434, a(13) = 1444, a(14) = 4904, a(15) = 16929}, [0, 0, 0, 0, 1, 1, 2, 5, 14, 43, 134, 434, 1444, 4904, 16929, 59218, 209451, 747790, 2691326, 9753929, 35566687, 130391136, 480325122, 1777000190, 6599627889, 24596448705, 91962140972, 344833922514, 1296494021284, 4886507283470, 18459184821988, 69877904513396, 265042668771454, 1007122124306949, 3833421090465587, 14614421981599333, 55798762711897138, 213341956042528775, 816772576732912881, 3130881457704078607, 12015527270667837234, 46163881237995499685, 177549628241615307332, 683552419766589413410, 2634127955125178346721, 10160026674113181736567, 39221766198190016737797, 151536214852275208161229, 585931116666664167356154, 2267265865224090587153053], 202115402013800480812419817100997988836423321943120\ 9498084224541334953204376079313990662483138202195469550662360522875253258351429\ 0264925047300244012551502098156460302681586364825594156296322936173393409282739\ 1396921563230627603876783286461700582150815794411963671580206975502388438876509\ 4255450522411815481760627861887062861272387100717236050605473387644780193119395\ 1980360953701004876771679487434110741363097730957119140961171143501422817194785\ 3895202754946700999529860082534159771350195748399121904272682940366378266052138\ 8458783845182998081947495114781153701544893834624246851658817722465263] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 2, 3, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^7+4*P^2*x^6-2*P*x^7-3*P^2*x^5-4*P*x^6+3*P*x^5+P^2* x^3+2*P^2*x^2-2*P*x^3-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1 )/((x^6+x^2)*C+x^5+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-8*(n-2)*(46 *n-309)*a(n-2)+33*(n-3)*(29*n-216)*a(n-3)-6*(n-4)*(205*n-1686)*a(n-4)+(n-5)*( 593*n-5472)*a(n-5)+(15*n^2-1371*n+7716)*a(n-6)+(625*n^2-4607*n+1524)*a(n-7)+(-\ 1520*n^2+17974*n-46440)*a(n-8)+(975*n^2-14541*n+50988)*a(n-9)+(200*n^2-1072*n-\ 7848)*a(n-10)+(-192*n^2+3486*n-11244)*a(n-11)+(-404*n^2+4480*n-9504)*a(n-12)+( 336*n^2-4776*n+15096)*a(n-13)+(18*n^2+1440*n-16128)*a(n-14)+(-74*n^2-98*n+10872 )*a(n-15)+(6*n^2-678*n+7512)*a(n-16)+3*(n-12)*(n-11)*a(n-17)+6*(n-12)*(n-11)*a( n-18)+10*(n-15)*(5*n-76)*a(n-19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 22, a( 10) = 59, a(11) = 167, a(12) = 495, a(13) = 1528, a(14) = 4879, a(15) = 16017, a(16) = 53777, a(17) = 183893, a(18) = 638368, a(19) = 2243923, a(20) = 7970919 }, [0, 0, 0, 0, 1, 2, 4, 9, 22, 59, 167, 495, 1528, 4879, 16017, 53777, 183893, 638368, 2243923, 7970919, 28568500, 103180789, 375147665, 1371950842, 5043263013, 18624070517, 69058906669, 257022001810, 959787509299, 3595037269512 , 13503351339476, 50849904024092, 191938251801417, 726069585424921, 2752145024590057, 10451512191728951, 39760002470100220, 151503728213019541, 578182377263372845, 2209683845410129327, 8456331763963952331, 32403098075103496068, 124311884600561769494, 477454356811096254087, 1835768659098153780079, 7065562661334515717425, 27220489528595543962885, 104965072346438337913212, 405111155993272856684059, 1564826820582123912504310], 1298799625315085246392038889409402110637312929146785774305998010550326206013518\ 4571233049870939023782612997789218255407696574223958182059256268308913588625196\ 6448585412717950407954592683428345062176543554190556397090603602796453512720651\ 9013132145451923730403924890194545884390145800465962706556648463039323284161868\ 5539540426437154340657211410375062504582782368396162649250152467269995554316322\ 7462591299946505160088634530848405275466553010722499787022472154331508113774187\ 7632190682760907366413538455003431598269812920424393375650441966326521909501642\ 064643077332961679040968831448327106547592] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 2, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^8+4*P^2*x^7-2*P*x^8-4*P*x^7-2*P^2*x^5+2*P^2*x^4+P* x^5-4*P*x^4+x^5-3*P^2*x^2+2*x^4+6*P*x^2+P^2-3*x^2-2*P+1, (C*x^3+x^2-1)/((x^6+x^ 3)*C+x^5+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-2*(n-2)*(32*n-267)*a( n-2)-12*(n-3)*(17*n-112)*a(n-3)+3*(n-4)*(131*n-1053)*a(n-4)+12*(n-5)*(29*n-202) *a(n-5)+(-789*n^2+10851*n-36612)*a(n-6)+(-70*n^2+1664*n-8688)*a(n-7)+(768*n^2-\ 10854*n+38460)*a(n-8)+(-522*n^2+6528*n-16848)*a(n-9)+(-503*n^2+5119*n-4296)*a(n -10)+(623*n^2-8971*n+28128)*a(n-11)+(110*n^2+302*n-21336)*a(n-12)+(-289*n^2+ 3299*n-4956)*a(n-13)+(216*n^2-3924*n+20064)*a(n-14)+(42*n^2+1734*n-26184)*a(n-\ 15)+(-24*n^2+12*n+4104)*a(n-16)+(179*n^2-6265*n+53196)*a(n-17)+(38*n^2-1480*n+ 13800)*a(n-18)+9*(3*n-47)*(n-16)*a(n-19)+2*(53*n-828)*(n-17)*a(n-20)+20*(2*n-31 )*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 2, a(8) = 4, a(9) = 9, a(10) = 24, a(11) = 66, a(12) = 196, a(13) = 611, a(14) = 1978, a(15) = 6589, a(16) = 22423, a(17) = 77604, a(18) = 272225, a(19) = 965552, a(20) = 3456554, a(21) = 12471849}, [0, 0, 0, 0, 1, 1, 2, 4, 9, 24, 66, 196, 611, 1978, 6589, 22423, 77604, 272225, 965552, 3456554, 12471849, 45307320, 165569395, 608218827, 2244681521, 8318647866, 30943852482, 115495785816, 432409869401, 1623482801202, 6111133186073, 23058399358863, 87194981906437, 330399209250638, 1254322893170840, 4770310084472149, 18171902596347841, 69330633242005433, 264898554654114013, 1013505391391329166, 3882668141295903143, 14892266780820037371, 57185885571197832620, 219830473232037639832, 845928197560603840564, 3258390214265394177804, 12562491013948803352693, 48476596862861900248617, 187220823267126207128086, 723644166162988944981844], 6161361935221944170564932181256118829998658757432908\ 6624719719299124611525770946266835374887851094921967040565982209889357586041527\ 2154986948977843534724204786301054119493086741575827418554180375974872047402502\ 0194249677311610598704482099584957192682788452163242074599886228608437396441572\ 3917562958370873536419381105767236843663954076251506993723246372435925795122502\ 8111208782088154459124588876948795139102437709271887207730888053072478799211101\ 8502178043841578817092890607610323088871237361977820875351023533925702732395948\ 45014073053212380589167402971595250996338616902031660574266028315664] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 3, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9+4*P^2*x^8-2*P*x^9+P^2*x^7-4*P*x^8+2*P^2*x^6-2*P* x^7-3*P^2*x^5-4*P*x^6+x^7+3*P*x^5+2*x^6-3*P^2*x^3+6*P*x^3-3*x^3+P^2-2*P+1, (C*x ^4+x^3-1)/((x^6+x^4)*C+x^5+x^3-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44* (n-2)*(2*n-15)*a(n-2)+3*(n-3)*(7*n-32)*a(n-3)-180*(n-4)*(n-6)*a(n-4)+3*(n-5)*( 133*n-936)*a(n-5)+(-155*n^2+1243*n-1788)*a(n-6)+(507*n^2-5787*n+15336)*a(n-7)+( -524*n^2+8158*n-31968)*a(n-8)+(231*n^2-2709*n+7260)*a(n-9)+(-696*n^2+9606*n-\ 28896)*a(n-10)+(148*n^2-4262*n+30012)*a(n-11)+(-178*n^2+1154*n+5208)*a(n-12)+( 125*n^2-895*n-12588)*a(n-13)+(32*n^2+1442*n-27192)*a(n-14)+(18*n^2+2070*n-30096 )*a(n-15)+(70*n^2+190*n-15768)*a(n-16)+(117*n^2-4203*n+37908)*a(n-17)+(242*n^2-\ 8122*n+68328)*a(n-18)+(300*n^2-10680*n+94680)*a(n-19)+(196*n^2-6884*n+60240)*a( n-20)+18*(9*n-148)*(n-19)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2 ) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 7, a( 10) = 18, a(11) = 51, a(12) = 153, a(13) = 485, a(14) = 1591, a(15) = 5350, a( 16) = 18344, a(17) = 63861, a(18) = 225067, a(19) = 801325, a(20) = 2877649, a( 21) = 10410421, a(22) = 37903499}, [0, 0, 0, 0, 1, 1, 1, 3, 7, 18, 51, 153, 485 , 1591, 5350, 18344, 63861, 225067, 801325, 2877649, 10410421, 37903499, 138781167, 510672200, 1887474494, 7004068533, 26084494126, 97461485963, 365239145317, 1372480936156, 5170402813595, 19523021910368, 73875318417367, 280100918812357, 1063978153679585, 4048555554223897, 15430079522221759, 58896967437203413, 225130571659703481, 861700594927106424, 3302367746051358115, 12671006879385383340, 48672704909004916304, 187164177470062960764, 720442110555733152950, 2775828119362091631199, 10704904483663101455513, 41319099689256411580964, 159616997648599603964958, 617093921021032907909678], 5302662710926699727634274424727774974181560787705498501054007528917654895211297\ 3094234841000402363078518305520718905564572658587038169509196405734957464598226\ 8115248992966409913423557697482842662988010923829470803845937165831049602169759\ 5555860302970787068151243898659471133092216424320289348179232489199054377498130\ 4366446238660930006321133583801434406605865573026232403936611614037198765016314\ 4032682006185708291713258312835139728780706389594658368741540270958711377236194\ 7920557430510162085326431684342162131693502411724135736596435121279800648387073\ 49921116979838040996990000093032866834304] ---------------------------- (A,B)= , {1, 2, 3, 4}, {2, 3, 4, 5} [P^2*x^11+4*P^2*x^10+5*P^2*x^9-2*P*x^10+2*P^2*x^8-6*P*x^9-4*P*x^8+x^9+2*x^8-3*P ^2*x^5-3*P^2*x^4+3*P*x^5+6*P*x^4-3*x^4+P^2-2*P+1, (C*x^5+x^4-1)/((x^6+x^5)*C+x^ 5+x^4-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+18* (n-4)*(n-3)*a(n-4)-3*(n-5)*(47*n-240)*a(n-5)+(207*n^2-3069*n+11052)*a(n-6)+(276 *n^2-2802*n+5760)*a(n-7)-(13*n+75)*(n-8)*a(n-8)+(108*n^2-1092*n+720)*a(n-9)+(-\ 108*n^2+3156*n-18720)*a(n-10)+(-390*n^2+3582*n+7908)*a(n-11)+(-286*n^2+1496*n+ 13992)*a(n-12)+(-55*n^2-697*n+13152)*a(n-13)+(111*n^2-3885*n+31860)*a(n-14)+(-\ 123*n^2+7779*n-88992)*a(n-15)+(-288*n^2+15534*n-170448)*a(n-16)+(-133*n^2+6983* n-77004)*a(n-17)+(-134*n^2+4396*n-35472)*a(n-18)+(113*n^2-4543*n+45060)*a(n-19) +(742*n^2-27398*n+251688)*a(n-20)+(875*n^2-32869*n+306444)*a(n-21)+(418*n^2-\ 16094*n+153384)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3 ) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 6, a(10) = 17, a(11) = 47, a(12) = 141, a(13) = 451, a(14) = 1492, a(15) = 5043, a(16) = 17346 , a(17) = 60535, a(18) = 213768, a(19) = 762300, a(20) = 2741016, a(21) = 9926676, a(22) = 36174729, a(23) = 132553503}, [0, 0, 0, 0, 1, 1, 1, 2, 6, 17, 47, 141, 451, 1492, 5043, 17346, 60535, 213768, 762300, 2741016, 9926676, 36174729, 132553503, 488082322, 1805036802, 6701619997, 24969598790, 93334261976, 349902149622, 1315290408519, 4956471629442, 18720471096699, 70856643276843, 268719016117988, 1020966347238156, 3885677202236035, 14812094326723254, 56548013457020849, 216187204164149599, 827596138434029031, 3172122352675215661, 12172907149607049372, 46765322302665983385, 179851190895952825645, 692371122044233837171, 2667958410609635063655, 10289955031464594699797, 39721302319054456773623, 153458742621678277453426, 593337375193137809347746], 5115775849381385752335613344185518185581554484492460\ 7243335979163889612173351952984044455706674471112259557278726654174053650347186\ 4632235475745866903472896989823966640964419476991576315408763615902875915308295\ 5516970943113542668904474561952764485941095611201995715975917536822098035560033\ 1312568579315145947254690046472648573421149664583481518253050875831811058289523\ 5823349129842098599602254917260239684844895432956099247169096924552279513021531\ 5056629160950377357170848911607557967397244088302316920238688225842999873331334\ 86249773310997553392321679166716557159899808248545105122331398117483] ---------------------------- (A,B)= , {1, 2, 3, 4}, {1, 2, 3, 4, 5} [P^2*x^11+2*P^2*x^10-3*P^2*x^5+3*P*x^5+P^2-2*P+1, -1/(C*x^6+x^5-1), {-5*n*(n-5) *a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+15*n*(n-5)*a(n-5)+(-129* n^2+987*n-1188)*a(n-6)+(276*n^2-2802*n+5760)*a(n-7)-10*n*(n-5)*a(n-10)+(88*n^2-\ 794*n+1716)*a(n-11)+(-170*n^2+2248*n-7776)*a(n-12)-44*(n-2)*(2*n-15)*a(n-13)-6* (n-12)*(n-11)*a(n-16)+3*(n-12)*(7*n-89)*a(n-17)+6*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 1, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 5, a(10) = 15, a(11) = 44, a(12) = 135, a(13) = 435, a(14) = 1445, a(15) = 4905, a(16) = 16925, a(17) = 59188, a(18) = 209312}, [0, 0, 0, 0, 1, 1, 1, 2, 5, 15, 44, 135, 435, 1445, 4905, 16925, 59188, 209312, 747223, 2689120, 9745517 , 35534920, 130271721, 479877044, 1775319295, 6593318216, 24572736479, 91872900991, 344497541024, 1295223979746, 4881704175946, 18440990466232, 69808873540615, 264780354347623, 1006123858074972, 3829616652664415, 14599903271834431, 55743283179131582, 213129690607302940, 815959478778455164, 3127763286232962869, 12003556331990848375, 46117876115421589648, 177372652489246374359, 682870973138240668315, 2631501666778027593625, 10149896231210674345868, 39182657453781078630589, 151385115159888697046315, 585346887463763250879717], 5055551093276773487027439187526752997113222694598272\ 6374104696109113618511956514988786423543068658681968645643436619996370808496228\ 5054617119207298389745843603165592895711324200891313660880796196827219497995490\ 3265365375096383175195599592489071470906971780399791310215020946956291517003796\ 6285620529383260959648153516139087197934904283508219656049374135048248017179185\ 6180130979166217209194852994693689922097242454121754593147504687027425830541041\ 7955329836102613935896594093885979540142952021470458934400173200979676738347152\ 49134793632562371276287341680832701522584977315577834807783632852906] ---------------------------- (A,B)= , {1, 2, 3, 5}, {} [P^2*x^7+2*P^2*x^6+3*P^2*x^5-2*P*x^6+2*P^2*x^4-4*P*x^5-4*P*x^4+x^5-P^2*x^2-P*x^ 3+2*x^4-P^2*x+2*P*x^2+x^3+P^2+2*P*x-x^2-2*P-x+1, (x^3+C*x+x^2-1)/(x^4+x^3+C*x+x ^2-1), {-3*n*(n-3)*a(n)+(n-1)*(31*n-128)*a(n-1)-2*(n-2)*(49*n-253)*a(n-2)+3*(n-\ 3)*(25*n-164)*a(n-3)+(64*n^2-606*n+1412)*a(n-4)+(-22*n^2+600*n-2528)*a(n-5)+(-\ 92*n^2+1050*n-2788)*a(n-6)+(-59*n^2-177*n+3968)*a(n-7)+(49*n^2-1323*n+7292)*a(n -8)+(-22*n^2+828*n-6908)*a(n-9)+(-10*n^2+948*n-7616)*a(n-10)+(28*n^2-546*n+2972 )*a(n-11)+(128*n^2-3174*n+19528)*a(n-12)+(163*n^2-4011*n+24620)*a(n-13)+2*(53*n -616)*(n-13)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 8, a(8) = 23, a(9) = 68, a(10) = 212, a (11) = 681, a(12) = 2246, a(13) = 7565, a(14) = 25925, a(15) = 90119}, [0, 0, 0 , 1, 1, 3, 8, 23, 68, 212, 681, 2246, 7565, 25925, 90119, 317029, 1126606, 4038357, 14584419, 53016616, 193835363, 712309970, 2629554373, 9746994954, 36262888578, 135365703492, 506851479722, 1903120222208, 7164179922648, 27033009600009, 102228667596631, 387375839767856, 1470659934840999, 5593150625809059, 21306658755816174, 81291206377225160, 310599057811505607, 1188359044935188073, 4552522132555485563, 17461520213142769169, 67051568467427868995, 257754547132762180103, 991858876608249077769, 3820472542045869489912, 14729468909407686497005, 56838232001131350955065, 219512634063861605909764, 848451903281340211510537, 3281920563677147648874634, 12704203503800475500972753], 11514755491768666453308064151042077203862353355160\ 5370805460638135702580474240086922540583428504321670590219525638312484093418260\ 0379628254835969466055967096138330455249056542624394735582380735464394328213441\ 2024957060987647586295881157586934418185354131288462288604607814373451746573708\ 0891942307338332068324518862601189512062148849314734676426476391757976481272931\ 5986658533763587128175042772770300405120198738806675490313149731518715882786081\ 4323196396966765897715846572390963938391513714383336165310440390341332403968894\ 306329990502126491852733028130574908501540169478901609462022029662929073] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1} [P^2*x^7+2*P^2*x^5-2*P*x^5-P*x^3-P^2*x+x^3+P^2+2*P*x-2*P-x+1, (C*x+x^2-1)/(x^4+ C*x+x^2-1), {-3*n*(n-3)*a(n)+(n-1)*(31*n-128)*a(n-1)-6*(n-2)*(17*n-86)*a(n-2)+6 *(n-3)*(19*n-108)*a(n-3)+(-39*n^2+405*n-984)*a(n-4)+(-9*n^2+63*n-168)*a(n-5)+( 44*n^2-48*n-1040)*a(n-6)+(-113*n^2+327*n+2624)*a(n-7)+(84*n^2-450*n-816)*a(n-8) -36*(n-2)*(2*n-11)*a(n-9)+(36*n^2-360*n+816)*a(n-10)+(-27*n^2+549*n-2760)*a(n-\ 11)+(46*n^2-1050*n+5936)*a(n-12)-2*(7*n-64)*(n-11)*a(n-13)+12*(2*n-21)*(n-12)*a (n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 21, a(9) = 61, a(10) = 191, a(11) = 613, a(12) = 2028, a(13) = 6845, a(14) = 23512}, [0, 0, 0, 1, 1, 3, 7, 21, 61, 191, 613, 2028, 6845, 23512, 81895, 288620, 1027273, 3687410, 13333203, 48520238, 177564276, 653066535, 2412666285, 8949093026, 33314632160, 124428734045, 466133694387, 1751034944865, 6594430093730, 24892741235277, 94168485590165, 356950855319591, 1355566573347184, 5156898081557641, 19649997603369131, 74989131079143269, 286586467039511920, 1096725207556958151, 4202339955445824540, 16121482779526192586, 61917151943908090771, 238058191799232399200, 916215123983015140019, 3529650899881576087839, 13610229800752864878536, 52526623068814046831694, 202887864407521407501408, 784293636600608162218639, 3034114130686293850897481, 11746306167493978496046710], 10697439085248825471389\ 3259921701065357919400555463507177899695155009045385804831002762234611095291264\ 2702222611342867143980496943679279265077542924505183181620345724632822525668387\ 2902447984020911724307037603296328714697578696513724847785350112221689621689922\ 6974910568541623768034285620963418396015045903030572162877491604681471627473107\ 8914897394399914827361018818018096773230234640408235987597941156152629508602263\ 0269377532201768757634312115710603567864978028987748216735944731368108491907375\ 4902214975167944021528667324015258196921086088582708931198034912589000373681809\ 64514654877686407220] ---------------------------- (A,B)= , {1, 2, 3, 5}, {2} [P^2*x^7+2*P^2*x^6+P^2*x^5-2*P*x^6-2*P*x^5-P^2*x^3+x^5-P^2*x^2+P*x^3+2*P*x^2+P^ 2-x^2-2*P+1, (x^3+C*x-1)/(x^4+x^3+C*x-1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a( n-1)-2*(n-2)*(26*n-149)*a(n-2)-3*(n-3)*(11*n-48)*a(n-3)+(52*n^2-582*n+1508)*a(n -4)+(68*n^2-618*n+1348)*a(n-5)+(-4*n^2+294*n-1676)*a(n-6)+(-33*n^2+525*n-1716)* a(n-7)+(-49*n^2-339*n+5692)*a(n-8)+(-43*n^2+141*n+760)*a(n-9)+(444*n-4392)*a(n-\ 10)+(-16*n^2+726*n-5636)*a(n-11)+(-14*n^2+306*n-1624)*a(n-12)+3*(n-12)*(11*n-\ 155)*a(n-13)+(82*n^2-2070*n+12992)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 6, a(8) = 17, a(9 ) = 49, a(10) = 152, a(11) = 490, a(12) = 1620, a(13) = 5473, a(14) = 18817, a( 15) = 65612}, [0, 0, 0, 1, 1, 2, 6, 17, 49, 152, 490, 1620, 5473, 18817, 65612, 231459, 824577, 2962308, 10719498, 39035836, 142945096, 526040927, 1944401201, 7215637752, 26873272008, 100410866327, 376297556455, 1414048857508, 5327024343153, 20114450537402, 76113251068570, 288585434069798, 1096202863420595, 4171153767616048, 15897241788636086, 60679752331598314, 231943599581750904, 887771549287336403, 3402256701892123444, 13054177782542252022, 50144187186124715677, 192821096925407493248, 742211398197860331564, 2859682582987975770591, 11028204624025552123519, 42566669093637178718230, 164435202763018680378186, 635716995531424623896052, 2459582799457594828423169, 9522991128639417330324293], 871009661175927869431755\ 7899753467871537233898577732701976026149712395434465373787651751799835387610227\ 8428635812343614901827060030298420100900325207683440659870353980311718856195479\ 9356088769870217648488285709780872730726510703210644005588873567723967009523298\ 5721925633697629660591440491215468216980079284967502883432572580217496224189920\ 0870515789935382530174451974343751529038670181771514622416568428921206112218380\ 1707998309157192542983159901077362893816833344928035670656312865736671823616361\ 6217630658535011889006630561008014018739039812802772656239480002834962240363703\ 539837876157476052] ---------------------------- (A,B)= , {1, 2, 3, 5}, {3} [P^2*x^7+2*P^2*x^6+3*P^2*x^5-2*P*x^6-4*P*x^5-2*P^2*x^3-2*P*x^4+x^5-3*P^2*x^2+3* P*x^3+2*x^4+6*P*x^2-x^3+2*P^2-3*x^2-4*P+2, (x^3+C*x+x^2-x-1)/(x^4+x^3+C*x+x^2-x -1), {-12*n*(n-3)*a(n)+8*(n-1)*(13*n-56)*a(n-1)-4*(n-2)*(50*n-293)*a(n-2)-12*(n -3)*(17*n-72)*a(n-3)+(363*n^2-3771*n+9324)*a(n-4)+(310*n^2-2934*n+6632)*a(n-5)+ (-40*n^2+2040*n-10256)*a(n-6)+(-347*n^2+3153*n-5164)*a(n-7)+(-145*n^2-363*n+ 11668)*a(n-8)+(-3*n^2-309*n+348)*a(n-9)+(-32*n^2+2154*n-18184)*a(n-10)+(-41*n^2 +1797*n-13540)*a(n-11)+(54*n^2-1188*n+6648)*a(n-12)+(155*n^2-3855*n+23860)*a(n-\ 13)+2*(53*n-616)*(n-13)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 3, a(8) = 10, a(9) = 26, a( 10) = 83, a(11) = 260, a(12) = 859, a(13) = 2885, a(14) = 9896, a(15) = 34424}, [0, 0, 0, 1, 0, 2, 3, 10, 26, 83, 260, 859, 2885, 9896, 34424, 121249, 431392, 1548201, 5597601, 20369554, 74545752, 274185733, 1013005459, 3757724263, 13989901399, 52255886691, 195776374058, 735494838300, 2770106963784, 10457446088493, 39563178148411, 149977336573226, 569598175061940, 2167033890583397, 8257868595263917, 31515994182668133, 120452144083548331, 460979724755891157, 1766441820082417612, 6776982288276601570, 26029429240375830942, 100082523501395048079, 385206132285519529045, 1484045867103793165730, 5722688612633748143111, 22086785541834549700471, 85315276682960484506901, 329812020285334056980720, 1275957311410207406286003, 4939936981025351089856222], 450702928574681263650810705381863208455199938191709\ 9362089840302035305013679487584141844734316134280718079479444335083827981228321\ 4179049681356633265791665501706122709112038517661561563757034994321333286215312\ 6865546707548560911076505837666377735663599915331085416263769737629884291440304\ 9815710362422490042367616751337081529836250328257742870175197129834764042449437\ 6817478643860833462117107229113030229149518390373784937125700001113992898406026\ 4657559259861245172946062306424584110710017659418935277146289286994535187601380\ 5374522757231504507820447889595722034193856607897535526146239840419863] ---------------------------- (A,B)= , {1, 2, 3, 5}, {4} [P^2*x^10+P^2*x^8-2*P*x^9+2*P^2*x^7+P^2*x^6-2*P*x^7+x^8+6*P^2*x^5-2*P*x^6+2*P^2 *x^4-6*P*x^5+x^6+P^2*x^3-7*P*x^4+P^2*x^2-2*P*x^3+5*x^4-3*P^2*x-2*P*x^2+x^3+P^2+ 6*P*x+x^2-2*P-3*x+1, ((x^4+x^3+x^2)*C-x^4+x-1)/((x^5+x^4+x^3+x^2)*C-x^5+x-1), { -4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)-15*(n-2)*(19*n-109)*a(n-2)+4*(n-3)*( 170*n-1109)*a(n-3)-6*(n-4)*(117*n-859)*a(n-4)+3*(n-5)*(57*n-478)*a(n-5)+(103*n^ 2-427*n-1002)*a(n-6)+(-406*n^2+1252*n+10236)*a(n-7)+(885*n^2-9171*n+18462)*a(n-\ 8)+(-276*n^2+2700*n-3216)*a(n-9)+(-146*n^2+5642*n-45264)*a(n-10)+(149*n^2-4205* n+40602)*a(n-11)+(-381*n^2+8865*n-67014)*a(n-12)+(232*n^2-4588*n+29880)*a(n-13) +(220*n^2-7348*n+58200)*a(n-14)+(-36*n^2+978*n-5928)*a(n-15)+(442*n^2-15874*n+ 138780)*a(n-16)+(54*n^2-1668*n+13356)*a(n-17)+108*(n-16)*(n-20)*a(n-18)+3*(39*n -595)*(n-18)*a(n-19)-2*(19*n-270)*(n-19)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0 , a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 8, a(8) = 22, a(9) = 62, a(10) = 184, a(11) = 563, a(12) = 1774, a(13) = 5734, a(14) = 18945, a(15) = 63778, a(16) = 218182, a(17) = 756722, a(18) = 2655706, a(19) = 9415521, a(20) = 33677577, a(21) = 121388673}, [0, 0, 0, 1, 1, 3, 8, 22, 62, 184, 563, 1774, 5734, 18945, 63778, 218182, 756722, 2655706, 9415521, 33677577, 121388673, 440499510, 1608043104, 5901249762, 21758936851, 80569071142, 299471591115, 1116976010715, 4179246298620, 15681954419035, 58999345542688, 222509176564177, 841049856106284, 3185641486719716, 12089527083133389, 45962273527318462, 175033720145282356, 667610601329481888, 2550137702577914590, 9754486639282928034, 37360308059089143839, 143268131158140804212, 550037633705785162702, 2114033208179433912059, 8133600883844526728090, 31324383955696147214507, 120750669179848131615083, 465890798841978562261210, 1799069577624838710283991, 6952867614622089627462137], 589691598212513769098343\ 5504643293833699709304164972856307139789881228590527416634122960401405433002747\ 5718726674598422463401301838787969729073456890840992329216967104663012674651492\ 2545706334396117020590008701954231435209088380401856646943335212863431150298209\ 0561819583206067508797882801567186065951797187885253086457546028156735044732802\ 7964798729268058533274559021138625756633161434747545802218507408137874883519458\ 8121390543644310997294096829739118287594412945130936312186582332693260020367906\ 8521272982026367243068461646762631389025012541143676300087126924039097048543096\ 895870173832841572] ---------------------------- (A,B)= , {1, 2, 3, 5}, {5} [P^2*x^8+2*P^2*x^7+3*P^2*x^6-2*P*x^7+5*P^2*x^5-4*P*x^6+2*P^2*x^4-7*P*x^5+x^6+2* P^2*x^3-6*P*x^4+2*x^5-4*P*x^3+4*x^4-3*P^2*x+2*x^3+P^2+6*P*x-2*P-3*x+1, (C*x^2+x ^3+x^2+x-1)/(x^4+C*x^2+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1) -4*(n-2)*(88*n-597)*a(n-2)+4*(n-3)*(193*n-1484)*a(n-3)+(-505*n^2+6641*n-18504)* a(n-4)+(-446*n^2+5602*n-16608)*a(n-5)+(386*n^2-4804*n+13884)*a(n-6)+(-157*n^2-\ 1177*n+17580)*a(n-7)+(675*n^2-10467*n+39840)*a(n-8)+(267*n^2-3363*n+8208)*a(n-9 )+(-191*n^2+6223*n-44760)*a(n-10)+(-259*n^2+7457*n-46716)*a(n-11)+(-394*n^2+ 8396*n-43980)*a(n-12)-8*(29*n-238)*(n-12)*a(n-13)+(-13*n^2-589*n+10068)*a(n-14) +(38*n^2-1354*n+11496)*a(n-15)+10*(n-15)*(5*n-76)*a(n-16)+12*(2*n-29)*(n-16)*a( n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7 , a(8) = 18, a(9) = 46, a(10) = 124, a(11) = 344, a(12) = 989, a(13) = 2938, a( 14) = 9007, a(15) = 28416, a(16) = 91988, a(17) = 304589}, [0, 0, 0, 1, 1, 3, 7 , 18, 46, 124, 344, 989, 2938, 9007, 28416, 91988, 304589, 1028464, 3531313, 12299259, 43360376, 154454496, 555078655, 2010112272, 7327518511, 26865818904, 99002858439, 366478100617, 1362039173978, 5080351773395, 19011152850273, 71351500175580, 268512811313277, 1012968874735332, 3830103699357076, 14512181601165695, 55092903768477289, 209526909819728183, 798200192309564193, 3045536646095343865, 11637310136352238269, 44528600350739250533, 170603363972723916599, 654433981460138161142, 2513299064605393960653, 9662631219531261577006, 37187293353718705490161, 143257921103094859031136, 552390707436039924383948, 2131856860158912960735128], 1714996769340655285039843\ 7862539779754008207407767804295835235936411307210154679283712627908234172981908\ 2975956385154377779182704706417402113926144385551789145868447456575971837054240\ 7990982222632321899541984058885051304208087238676868333262579980137167994236580\ 4935707832824341724755821000493516829630467898504970831847662717378006397355460\ 3200255159618393236798414085598727340653825159167868744394469248727529449406889\ 6253220170581647654100355035261232030620015785178011851532935392838654984229449\ 9645174217868462399839537270876285722096958032451983763524427937025475535078543\ 21328622417780064] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 2} [P^2*x^7-P^2*x^3+P*x^3+P^2-2*P+1, (C*x-1)/(x^4+C*x-1), {-3*n*(n-3)*a(n)+2*(n-1) *(13*n-56)*a(n-1)-28*(n-2)*(2*n-11)*a(n-2)+3*n*(n-3)*a(n-3)+(-27*n^2+153*n-168) *a(n-4)+(60*n^2-486*n+888)*a(n-5)-2*(n+7)*(n-4)*a(n-7)+(22*n^2-72*n-160)*a(n-8) -28*(n-2)*(2*n-11)*a(n-9)-(n-8)*(n-7)*a(n-11)+2*(n-8)*(2*n-17)*a(n-12) = 0, a(1 ) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 15, a (9) = 44, a(10) = 137, a(11) = 443, a(12) = 1473}, [0, 0, 0, 1, 1, 2, 5, 15, 44 , 137, 443, 1473, 4997, 17234, 60244, 212965, 759997, 2734241, 9906337, 36112670, 132361797, 487484793, 1803162895, 6695722220, 24951017572, 93275820198, 349719223200, 1314722803099, 4954734736857, 18715269132457, 70841577996883, 268677735469645, 1020864209963627, 3885478360865987, 14811999051893455, 56549974352274968, 216202893503976640, 827685199623627336, 3172566791524106585, 12174980415154466505, 46774604045884503713, 179891617579478914530, 692543802170777991927, 2668685443428872635893, 10292982524017753421214, 39733801147283697844582, 153509989668099069830088, 593546327512968562005541, 2296671763606952292183772, 8893146157399101681884481] , 81684667487735054123871011475735266543886560512474882229079534965704255481627\ 2522575817368948993410604981341470134994694948978726645756697502999639689667208\ 6674723486337131137644887249310936730219431439905185475265299830460245256431240\ 6748691468141010860071835769161940472861096415327842476467316100778213604649927\ 2027415368983481907644252568033439822413957187338809505693592964842239683408625\ 0068521116332079057213966195240422974351181518508762961567121738207185148700145\ 1435919166277572634483812645688898670543647186692407113017779409526543815485315\ 62836965117033091832020327884667625209444947] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 3} [P^2*x^7+2*P^2*x^5-2*P^2*x^4-2*P*x^5+2*P*x^4-2*P^2*x^2-P*x^3+4*P*x^2+x^3+2*P^2-\ 2*x^2-4*P+2, (C*x+x^2-x-1)/(x^4+C*x+x^2-x-1), {-6*n*(n-3)*a(n)+4*(n-1)*(13*n-56 )*a(n-1)-4*(n-2)*(26*n-149)*a(n-2)-72*(n-4)*(n-3)*a(n-3)+(164*n^2-1488*n+3352)* a(n-4)+(-34*n^2-6*n+736)*a(n-5)+(92*n^2-12*n-2912)*a(n-6)+(-73*n^2+135*n+2152)* a(n-7)-20*(n-2)*(n-13)*a(n-8)+(-35*n^2+375*n-1780)*a(n-9)+(16*n^2-396*n+2168)*a (n-10)+(-22*n^2+654*n-4112)*a(n-11)+(26*n^2-576*n+3184)*a(n-12)+(-11*n^2+219*n-\ 1084)*a(n-13)+6*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 10, a(9) = 22, a(10) = 78, a(11) = 236, a(12) = 801, a(13) = 2678, a(14) = 9254}, [0, 0, 0, 1, 0, 2, 2, 10, 22, 78 , 236, 801, 2678, 9254, 32224, 113814, 405512, 1457492, 5275504, 19216578, 70384970, 259071796, 957777670, 3554870324, 13241350826, 49482201218, 185460255236, 696996175049, 2625990400566, 9916434672682, 37526966477424, 142295325792262, 540552327928016, 2056986290982912, 7840132381258688, 29927474093621566, 114401496372179656, 437897165648303132, 1678256242253209932, 6439613424126928748, 24737103933697147748, 95126120420715773580, 366175185138243143960, 1410893797992649456978, 5441213022883938278404, 21002658642310763457464, 81135781883432078014760, 313685068499696667740628, 1213677465086737045576256, 4699227782293141066370868], 430264967804296230201797\ 2171862462202858595429069964773249695899124397546845437142309363675755239674104\ 7256155185921009597716728578685223031751476242015201218172401314221365597398877\ 4936413402521020502241694458235121729677474826595192142534140558229881780245860\ 9872463221973267708749734324408414571891378933604842723615258959795218936391138\ 5386975838733531333494062079849292507764453850159644869759299374694302165462693\ 1883817196599820580010870025296921327918806902998847577482070502967188648712804\ 3191643956968931779677466560271591154176592922800033442926671498216855767555184\ 127800893034419232] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 4} [P^2*x^10-2*P^2*x^9+4*P^2*x^8-2*P^2*x^7-2*P*x^8+P^2*x^6+2*P*x^7+6*P^2*x^5-2*P*x ^6-4*P^2*x^4-6*P*x^5+x^6+4*P^2*x^3+5*P*x^4+P^2*x^2-8*P*x^3-x^4-3*P^2*x-2*P*x^2+ 4*x^3+P^2+6*P*x+x^2-2*P-3*x+1, ((x^3+x^2)*C-x^3+x-1)/((x^5+x^3+x^2)*C-x^5+x^4-x ^3+x-1), {-4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)-15*(n-2)*(19*n-109)*a(n-2)+( n-3)*(665*n-4394)*a(n-3)-6*(n-4)*(85*n-736)*a(n-4)-120*(6*n-23)*(n-5)*a(n-5)+( 1888*n^2-20752*n+56688)*a(n-6)+(-1692*n^2+17898*n-43104)*a(n-7)+(479*n^2-4589*n +5922)*a(n-8)+(861*n^2-7377*n+3234)*a(n-9)+(-1322*n^2+10754*n+5580)*a(n-10)+( 935*n^2-7301*n-5178)*a(n-11)+(-698*n^2+12908*n-74856)*a(n-12)+(593*n^2-18857*n+ 148986)*a(n-13)+(-396*n^2+14976*n-126648)*a(n-14)+(88*n^2-4876*n+49440)*a(n-15) +(386*n^2-11150*n+80028)*a(n-16)+(-485*n^2+14525*n-107874)*a(n-17)+(414*n^2-\ 12798*n+98196)*a(n-18)+(-182*n^2+5726*n-44604)*a(n-19)+28*(2*n-29)*(n-18)*a(n-\ 20) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 20, a(9) = 55, a(10) = 163, a(11) = 497, a(12) = 1570, a(13) = 5088, a( 14) = 16873, a(15) = 57019, a(16) = 195794, a(17) = 681457, a(18) = 2399227, a( 19) = 8530661, a(20) = 30590689}, [0, 0, 0, 1, 1, 3, 7, 20, 55, 163, 497, 1570, 5088, 16873, 57019, 195794, 681457, 2399227, 8530661, 30590689, 110512250, 401835731, 1469508882, 5401361571, 19943734727, 73940384371, 275142220365, 1027270832566, 3847124420952, 14447699826484, 54396845487721, 205292998697781, 776466472562187, 2942731044648051, 11173677137071861, 42501475247152006, 161928886656828419, 617891108801489062, 2361162483607275152, 9035013504363334995, 34616780783495512051, 132790896946375654753, 509970510457710901928, 1960607327525313547708, 7545372702177746890685, 29066507335225222961254, 112074369015075449647715, 432515601398192053949726, 1670557225299981797475191, 6457558614300201256965856], 552017020654528773643075\ 1994583100860000254578315211473442580170251382106294683014334731559664478733313\ 9994807448422901437168873702188571511865750228830462892863767005938087382899174\ 8487669053469430369715607169639695391812056964503516777902568996680871292224178\ 3259026648543658043370536953737561311293121935430363715080431675108963817286262\ 7301375984095219851371332725141933401746953274856081411463071439970797175072976\ 3976891871692436885331188648250786421712895689104575141608877739610331307348433\ 3352391020617447533626295773192940520350302930733373538494848139275110055073251\ 185868980831474446] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 5} [P^2*x^8+2*P^2*x^6+3*P^2*x^5-2*P*x^6-P^2*x^4-3*P*x^5+4*P^2*x^3-8*P*x^3+x^4-3*P^ 2*x+4*x^3+P^2+6*P*x-2*P-3*x+1, (C*x^2+x^2+x-1)/(x^4+C*x^2+x^2+x-1), {-5*n*(n-5) *a(n)+3*(n-1)*(23*n-136)*a(n-1)-4*(n-2)*(88*n-597)*a(n-2)+2*(n-3)*(379*n-2936)* a(n-3)+(-331*n^2+4955*n-14544)*a(n-4)+(-1205*n^2+14509*n-42168)*a(n-5)+(1658*n^ 2-22366*n+73464)*a(n-6)+(-412*n^2+3458*n-2304)*a(n-7)+(-411*n^2+7497*n-34968)*a (n-8)+(838*n^2-11774*n+39456)*a(n-9)+(-602*n^2+10282*n-45936)*a(n-10)+(-50*n^2+ 1732*n-9552)*a(n-11)+(18*n^2+192*n-3960)*a(n-12)+(-172*n^2+3188*n-14376)*a(n-13 )+(20*n^2-532*n+3552)*a(n-14)-6*(n-12)*(3*n-38)*a(n-15)+4*(2*n-27)*(n-14)*a(n-\ 16) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 16, a(9) = 39, a(10) = 105, a(11) = 288, a(12) = 831, a(13) = 2480, a(14 ) = 7671, a(15) = 24440, a(16) = 79937}, [0, 0, 0, 1, 1, 3, 6, 16, 39, 105, 288 , 831, 2480, 7671, 24440, 79937, 267285, 910571, 3151044, 11048876, 39175303, 140220574, 505971329, 1838546140, 6721478616, 24704357294, 91228962299, 338312678202, 1259334941315, 4703715730665, 17623009842495, 66212421364954, 249411169591701, 941713802348505, 3563435902042638, 13511247177551351, 51325790913357476, 195314045744062903, 744455128080197641, 2841877562182255256, 10864077764884841864, 41587583633040727788, 159398342948134156046, 611676953411145787258, 2349904106462514574350, 9037362271039776836467, 34791460572503807585702, 134066660083304288027234, 517089222853407032455154, 1996124654324399460921807], 161984620900815028621582399594506315060511733618138\ 4883919542588235666128150740058639194487707612146578576888863539937413346607799\ 4811156961431114605855629358066583343877525261859272000905211997729948960273979\ 2079275037303968352182959254013590099057556992032294000514524030914082109294023\ 5116345463847449041465565061405325804752693094500415090758921965556779724418893\ 9288940128826069339861487254376241510909511339710385725326837201457768997011270\ 3624683633746739289215762333398473811374463057840852035189025713971214203382999\ 4819491787352554748232489080703352465141675109799929859801592755135757] ---------------------------- (A,B)= , {1, 2, 3, 5}, {2, 3} [P^2*x^7+2*P^2*x^6+P^2*x^5-2*P*x^6-2*P^2*x^4-2*P*x^5-3*P^2*x^3+2*P*x^4+x^5-P^2* x^2+5*P*x^3+P^2*x+2*P*x^2-2*x^3+2*P^2-2*P*x-x^2-4*P+x+2, (x^3+C*x-x-1)/(x^4+x^3 +C*x-x-1), {-12*n*(n-3)*a(n)+2*(n-1)*(47*n-208)*a(n-1)-10*(n-2)*(13*n-82)*a(n-2 )-3*(n-3)*(75*n-428)*a(n-3)+(-59*n^2+141*n+428)*a(n-4)+(297*n^2-3201*n+8364)*a( n-5)+(346*n^2-2676*n+3656)*a(n-6)+(4*n^2+588*n-3592)*a(n-7)+(-205*n^2+1059*n+ 4492)*a(n-8)+(-136*n^2+336*n+5056)*a(n-9)+(6*n^2-42*n-1008)*a(n-10)+(-69*n^2+ 2325*n-16740)*a(n-11)+(-88*n^2+2292*n-14504)*a(n-12)+(25*n^2-705*n+4820)*a(n-13 )+(82*n^2-2070*n+12992)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 1, a(7) = 3, a(8) = 7, a(9) = 20, a( 10) = 64, a(11) = 205, a(12) = 679, a(13) = 2303, a(14) = 7939, a(15) = 27743}, [0, 0, 0, 1, 0, 1, 3, 7, 20, 64, 205, 679, 2303, 7939, 27743, 98061, 349926, 1258908, 4561154, 16627700, 60946667, 224473610, 830342417, 3083459059, 11490727813, 42958253068, 161070077881, 605545593882, 2282179241389, 8620679088038, 32632402419505, 123767690009497, 470281340402778, 1789978538313290, 6823858066509600, 26053204405121123, 99609814597720234, 381344257055222878, 1461752036444526422, 5609726181295506969, 21552295840527708653, 82890348834872026329, 319116692130875635998, 1229726494249754973318, 4743084926596725255151, 18309984376690140694523, 70741193977652864731337, 273525584037341253683003, 1058399368386738589312141, 4098388411631443909581227], 376743566509895192653552062953437462157147469361706\ 5624897807450198349060468180329429386783426423708344894043901155065724241376981\ 2845865653087234253217738030977940398802904946963716194159799229110888009385647\ 4452109532038548602157736558651336213231218858230670414148322684158024745501050\ 5153000113800174489920693984316921812302623154416278920870187068379204199350581\ 3214330380713243676839317525448791926927549713812469319521520076114187872783044\ 3283125652398115310889749959769821268735963864809900973540113063746139923247183\ 3154502455629908680955352250908808263920088563432552465724919540029487] ---------------------------- (A,B)= , {1, 2, 3, 5}, {2, 4} [P^2*x^10-P^2*x^8-2*P*x^9+4*P^2*x^7+2*P*x^8-2*P*x^7+x^8+2*P^2*x^5-4*P*x^6-2*x^7 +4*P^2*x^4+2*P*x^5+4*x^6-5*P^2*x^3-11*P*x^4-4*x^5+4*P^2*x^2+10*P*x^3+7*x^4-3*P^ 2*x-8*P*x^2-5*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, ((x^4+x^2)*C-x^4+x^3-x^2+x-1)/((x^ 5+x^4+x^2)*C-x^5+x^3-x^2+x-1), {-4*n*(n-4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)-3*(n-2 )*(101*n-569)*a(n-2)+(n-3)*(911*n-5594)*a(n-3)-2*(n-4)*(904*n-5817)*a(n-4)+6*(n -5)*(449*n-2966)*a(n-5)+(-3035*n^2+39461*n-127266)*a(n-6)+(2287*n^2-34525*n+ 127674)*a(n-7)+(-839*n^2+16739*n-73854)*a(n-8)+(-528*n^2+2130*n+11508)*a(n-9)+( 1192*n^2-11158*n+3720)*a(n-10)+(-698*n^2+1544*n+67284)*a(n-11)+(-373*n^2+19699* n-195546)*a(n-12)+(1081*n^2-33565*n+271002)*a(n-13)+(-894*n^2+26184*n-204432)*a (n-14)+(351*n^2-9387*n+68694)*a(n-15)+(388*n^2-12826*n+103716)*a(n-16)+(-484*n^ 2+15358*n-120744)*a(n-17)+(404*n^2-13868*n+117768)*a(n-18)+(3*n^2+315*n-5778)*a (n-19)+(-94*n^2+3082*n-24876)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 6, a(8) = 16, a(9) = 43, a(10) = 126, a(11) = 386, a(12) = 1219, a(13) = 3962, a(14) = 13189, a(15) = 44755, a(16) = 154299, a(17) = 539081, a(18) = 1904608, a(19) = 6793504, a(20 ) = 24430869, a(21) = 88485199}, [0, 0, 0, 1, 1, 2, 6, 16, 43, 126, 386, 1219, 3962, 13189, 44755, 154299, 539081, 1904608, 6793504, 24430869, 88485199, 322480787, 1181734975, 4351645264, 16094593607, 59759824407, 222678518226, 832427373194, 3120981419628, 11732916383866, 44217766358210, 167024675814131, 632242588815347, 2397951177363454, 9111533034223204, 34680397882416771, 132211829204699253, 504785431204283127, 1929985971945929322, 7388842495757508370, 28323097248900049716, 108696875359159630135, 417616555296396392022, 1606191115629991068677, 6183752429360916025375, 23829810658893763424643, 91914190181547831843285, 354829163355914569586485, 1370924115890154560958570, 5300888593549173567804270], 458525458159371365823484\ 8657989108993123646627079483067199046426805754239899640643711043695072535290947\ 2973280466385488420610519424519199027413483837710778406190981129300590671569876\ 1308972382368251229491375658547750523408309879806002413571437613458087251507697\ 3144633494598115197781536723585788800313351638672822103650094848332132272058610\ 7860782324981066105270847651982022360970174892493079049754875084819199119517213\ 0039740159403107631592944779741510481947632801194719593529087030889663827225143\ 9023325429895152517466113190711914618853327809208228180564698159373029170453656\ 902358331655175753] ---------------------------- (A,B)= , {1, 2, 3, 5}, {2, 5} [P^2*x^8+2*P^2*x^7+P^2*x^6-2*P*x^7+3*P^2*x^5-2*P*x^6+P^2*x^4-3*P*x^5+x^6-P^2*x^ 3-4*P*x^4+2*P^2*x^2+2*P*x^3+3*x^4-3*P^2*x-4*P*x^2-x^3+P^2+6*P*x+2*x^2-2*P-3*x+1 , (C*x^2+x^3+x-1)/(x^4+C*x^2+x^3+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-\ 1)-8*(n-2)*(46*n-309)*a(n-2)+(n-3)*(971*n-7192)*a(n-3)+(-1393*n^2+16655*n-44352 )*a(n-4)+(1231*n^2-16439*n+51672)*a(n-5)+(-797*n^2+12643*n-48192)*a(n-6)+(94*n^ 2-4664*n+29592)*a(n-7)+(479*n^2-5017*n+8928)*a(n-8)+(-350*n^2+3736*n-5808)*a(n-\ 9)+(280*n^2-3116*n+1680)*a(n-10)+(-28*n^2+1154*n-5568)*a(n-11)+(-134*n^2+2830*n -16248)*a(n-12)-2*(n-9)*(19*n-296)*a(n-13)+(-10*n^2-298*n+5664)*a(n-14)-4*(n+12 )*(n-14)*a(n-15)+6*(7*n-103)*(n-16)*a(n-16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1 ) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 12, a (9) = 29, a(10) = 76, a(11) = 210, a(12) = 607, a(13) = 1831, a(14) = 5732, a( 15) = 18507, a(16) = 61301, a(17) = 207364}, [0, 0, 0, 1, 1, 2, 5, 12, 29, 76, 210, 607, 1831, 5732, 18507, 61301, 207364, 713681, 2491558, 8802293, 31409220, 113032482, 409745015, 1494751324, 5483117231, 20211955248, 74830301801, 278124036194, 1037348483476, 3881443246388, 14565354677419, 54802591212478, 206699600523402, 781365440281169, 2959863816386301, 11233813751718002, 42713242138074975, 162676748618558341, 620538875468630600, 2370557441023163501, 9068412837967387884, 34735709511327365703, 133214954768910024303, 511484209794973949193, 1966015110312524264422, 7564703648427218515606, 29135631376191104634289, 112321559687205855768243, 433399376636420949956863, 1673715362695830023384058], 137791808909458717281820594211478261615912101553245\ 4470641686408475230357475167276898539841844260189414052534444307725776652861291\ 7607527705494840789226062708990032212923595324402835490537041705467556532275083\ 6516232987739345368792395586278363806188797354775720432498736344655967453703194\ 3863297386667687537357874929697365916778362266831794371851616127335827841441429\ 2419736214456241329109895851609763603345623974778309057143052182838483463190721\ 5797232184687466891736793882494900919029092732872562273552327863413487507008355\ 6972134886409718641944779436766171726966690089956654572996219057074168] ---------------------------- (A,B)= , {1, 2, 3, 5}, {3, 4} [P^2*x^10+P^2*x^8-2*P*x^9+3*P^2*x^6+x^8+4*P^2*x^5-2*P*x^6+P^2*x^4-6*P*x^5-x^6-P ^2*x^3-5*P*x^4+2*x^5-3*P^2*x^2+2*P*x^3+4*x^4+6*P*x^2-x^3+P^2-3*x^2-2*P+1, ((x^4 +x^3)*C-x^4+x^2-1)/((x^5+x^4+x^3)*C-x^5+x^2-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-\ 90)*a(n-1)-18*(n-2)*(3*n-22)*a(n-2)-(n-3)*(151*n-826)*a(n-3)+6*(n-4)*(45*n-322) *a(n-4)+(275*n^2-3233*n+9330)*a(n-5)+(-255*n^2+4593*n-18570)*a(n-6)+(-411*n^2+ 5295*n-16446)*a(n-7)+(-204*n^2+402*n+8580)*a(n-8)+(358*n^2-5392*n+20196)*a(n-9) +(232*n^2-2338*n-2004)*a(n-10)+(-24*n^2+18*n+6408)*a(n-11)+(109*n^2-3973*n+ 32166)*a(n-12)+(-68*n^2+3110*n-34272)*a(n-13)+(56*n^2+448*n-13608)*a(n-14)+(-23 *n^2+1229*n-11382)*a(n-15)+(162*n^2-6330*n+58860)*a(n-16)+(231*n^2-8049*n+69414 )*a(n-17)+(-14*n^2+626*n-6060)*a(n-18)+(77*n^2-2711*n+23490)*a(n-19)-2*(19*n-\ 270)*(n-19)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 3, a(8) = 9, a(9) = 22, a(10) = 66, a( 11) = 196, a(12) = 621, a(13) = 2017, a(14) = 6737, a(15) = 22939, a(16) = 79400, a(17) = 278452, a(18) = 987296, a(19) = 3533040, a(20) = 12743131, a(21) = 46277004}, [0, 0, 0, 1, 0, 2, 3, 9, 22, 66, 196, 621, 2017, 6737, 22939, 79400, 278452, 987296, 3533040, 12743131, 46277004, 169060561, 620870307, 2290798561, 8487641863, 31566068344, 117796532735, 440950268646, 1655296556801, 6230022904954, 23504002132190, 88869621723927, 336708385310124, 1278147167150338, 4860465012149596, 18513737710683508, 70629135108955386, 269839548009707015, 1032336847051910119, 3954548135140015906, 15167022781650310344, 58237521258727246853, 223860699649282584281, 861391752235553240020, 3317788947019579899209, 12790896937917371511891, 49355773686187433528657, 190608187463565031054958, 736707200174938022353307, 2849589770102034381855705], 250133180606067477311049176208463685896262816468730\ 6507973061423361905932709705220690788087067070791361875663529180945989544412923\ 0588848586815764818301490467735882271846050221510147133447136766257065330397513\ 6464542283286578438938415537037061086801512511808361318768691865753996287403669\ 5983681977894984124943215718123761780660178628831794487841759523186184715265229\ 7032295887985138883680602277676864500157447887674248721029694149373124836179035\ 8663566855251434000890182392966227500369762945339834819012150074970705073454332\ 4573201801842795566448249166121091371298466964964177837065345543886300] ---------------------------- (A,B)= , {1, 2, 3, 5}, {3, 5} [P^2*x^8+2*P^2*x^7+3*P^2*x^6-2*P*x^7+3*P^2*x^5-4*P*x^6-5*P*x^5+x^6-2*P*x^4+2*x^ 5-2*P^2*x^2+2*x^4-P^2*x+4*P*x^2+P^2+2*P*x-2*x^2-2*P-x+1, (C*x^2+x^3+x^2-1)/(x^4 +C*x^2+x^3+x^2-1), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-8*(n-2)*(19*n-138 )*a(n-2)+4*(n-3)*(11*n-130)*a(n-3)+(323*n^2-3751*n+9816)*a(n-4)+(-156*n^2+2016* n-5952)*a(n-5)+(-126*n^2+3048*n-14460)*a(n-6)+(-253*n^2+3167*n-9324)*a(n-7)+(-\ 135*n^2+591*n+4272)*a(n-8)+(289*n^2-6041*n+30696)*a(n-9)+(259*n^2-4211*n+14328) *a(n-10)+(173*n^2-1699*n-924)*a(n-11)+(-10*n^2+1172*n-10932)*a(n-12)-108*(n-12) ^2*a(n-13)+(n^2-503*n+6588)*a(n-14)+(46*n^2-1550*n+12696)*a(n-15)+10*(n-15)*(5* n-76)*a(n-16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4 ) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 7, a(9) = 13, a(10) = 38, a(11) = 98, a(12) = 293, a(13) = 887, a(14) = 2837, a(15) = 9304, a(16) = 31333, a(17) = 107465}, [0, 0, 0, 1, 0, 2, 2, 7, 13, 38, 98, 293, 887, 2837, 9304, 31333, 107465, 374369, 1320343, 4705031, 16912090, 61241983, 223193481, 817985748, 3012703575, 11144929073, 41391410619, 154271996802, 576851497947, 2163299941961 , 8134617276386, 30664117820486, 115854610505278, 438643499662052, 1664024547600029, 6324096322368700, 24075481800123182, 91799750602436755, 350553887431506881, 1340527053305493870, 5132962818856073325, 19678849884365176801, 75533641932299048575, 290243668514011657605, 1116455406303369556200, 4298856408465934828128, 16568218766606865829549, 63913117567302169128397, 246761211711674733902728, 953496723081074658332196], 8025550264783635299789368763178382968803658629406002545925317266697232677122778\ 2375124694393703617030387176912958839146845555384166445178663567462412166939608\ 9255253944250963834788110353496382050918951569365744621374453075115354054294786\ 9578628920091136307841523508127465024096713830102723660661205517618257571441821\ 8018088708958917424503994588404818745631817484215345227485383603797172525834892\ 5941342171699003476458942779105924827594936564893906021509632229949903998679614\ 0061737635188296247410781735802736791112195193125223120173739143675804273418988\ 88269869199671604626952760683557892117102] ---------------------------- (A,B)= , {1, 2, 3, 5}, {4, 5} [P^2*x^11+2*P^2*x^10+4*P^2*x^9-2*P*x^10+7*P^2*x^8-4*P*x^9+8*P^2*x^7-8*P*x^8+x^9 +9*P^2*x^6-12*P*x^7+2*x^8+7*P^2*x^5-14*P*x^6+4*x^7+2*P^2*x^4-13*P*x^5+5*x^6-6*P *x^4+6*x^5-2*P^2*x^2+4*x^4-2*P^2*x+4*P*x^2+P^2+4*P*x-2*x^2-2*P-2*x+1, ((x^5+x^4 +x^3)*C+x^3+x^2+x-1)/((x^6+x^5+x^4+x^3)*C+x^4+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+60 *(n-1)*(n-6)*a(n-1)-240*(n-2)*(n-7)*a(n-2)+4*(n-3)*(73*n-608)*a(n-3)+(215*n^2-\ 2359*n+5976)*a(n-4)+(-307*n^2+4439*n-14280)*a(n-5)+(-325*n^2+6197*n-26352)*a(n-\ 6)+(-494*n^2+5944*n-16440)*a(n-7)+(129*n^2-6405*n+43080)*a(n-8)+(1041*n^2-20541 *n+100656)*a(n-9)+(972*n^2-17694*n+76092)*a(n-10)+(489*n^2-1569*n-42240)*a(n-11 )+(-239*n^2+15985*n-150360)*a(n-12)+(-750*n^2+25812*n-208416)*a(n-13)+(-220*n^2 +6584*n-41544)*a(n-14)+(718*n^2-27470*n+252636)*a(n-15)+(1605*n^2-58011*n+ 514404)*a(n-16)+(2178*n^2-78150*n+695976)*a(n-17)+(2117*n^2-76021*n+680892)*a(n -18)+(1626*n^2-58734*n+530112)*a(n-19)+(1074*n^2-39474*n+361968)*a(n-20)+(541*n -9387)*(n-20)*a(n-21)+2*(109*n-1892)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 17, a(9) = 42, a(10) = 109, a(11) = 291, a(12) = 807, a(13) = 2324, a(14) = 6944, a(15) = 21475, a(16) = 68512, a(17) = 224593, a(18) = 753503, a(19) = 2577588, a(20) = 8961112, a(21) = 31574461, a(22) = 112501442, a(23) = 404613910}, [0, 0, 0, 1, 1, 3, 7, 17, 42, 109, 291, 807, 2324, 6944, 21475, 68512, 224593, 753503, 2577588, 8961112, 31574461, 112501442, 404613910, 1466744097, 5352980089, 19649942577, 72497940567, 268672665963, 999623346773, 3732353511116, 13980089451308, 52515592515536, 197791018922413, 746738767037913 , 2825470885584379, 10712710474483180, 40693891240842775, 154854037781679706, 590238573446864789, 2253190576568259231, 8613737598992986010, 32973933914659224062, 126386531886699621906, 485009523627081243782, 1863332588299176485564, 7166295606608779286146, 27589192030616101976179, 106316521419572700262386, 410071259748493564722300, 1583053215522554931021161], 1287685099031425364387452991248702290355235001352617835511446988104558446511922\ 1237848258565264695474137082178611303673312926819459329744332809589864970421811\ 8707530109465331288752758944079488591601811909237016955278872293025798424857005\ 0930400744371359844752038154678772149706033292083991360113815546938000951735387\ 7905204803007673094452607161918899387510851433195740123033415182621370847220174\ 4291632086696990998849687278853309806185690767289337921833137515355404203630465\ 3276447916548746938576842655616919072239401172165840842279598094139343936552749\ 501196715560246131607704069536285901676487] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 2, 3} [P^2*x^7-2*P^2*x^4-P^2*x^3+2*P*x^4+P*x^3+P^2*x+2*P^2-2*P*x-4*P+x+2, (C*x-x-1)/( x^4+C*x-x-1), {6*n*(n-3)*a(n)-(n-1)*(47*n-208)*a(n-1)+3*(n-2)*(23*n-140)*a(n-2) +84*(n-3)*(n-6)*a(n-3)+(41*n^2-354*n+736)*a(n-4)+(-6*n^2+234*n-912)*a(n-5)+(-\ 111*n^2+828*n-1056)*a(n-6)+(-34*n^2+348*n-716)*a(n-7)+(-22*n^2+78*n+136)*a(n-8) +(53*n^2-435*n+796)*a(n-9)+(12*n^2-54*n-240)*a(n-10)+(n-8)*(n-7)*a(n-11)-(n-8)* (5*n-44)*a(n-12)+2*(2*n-19)*(n-10)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a (4) = 1, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 7, a(9) = 18, a(10) = 59, a(11) = 190, a(12) = 636, a(13) = 2160}, [0, 0, 0, 1, 0, 1, 2, 7, 18, 59, 190, 636, 2160, 7471, 26162, 92632, 331000, 1192177, 4323494, 15774140, 57858678, 213230854, 789180416, 2932007981, 10931007536, 40881437367, 153336385478, 576652463333, 2173912079852, 8213875536048, 31100034303132, 117982101723105, 448390466593324, 1706985242244365, 6508628157424290, 24853808738791795, 95038936986673140, 363898301885333756, 1395070137986942388, 5354513205935587255 , 20574280154651295390, 79137970372977795810, 304703600515084342408, 1174305854695471781586, 4529767684661410702634, 17488123349183043124123, 67571857199211006707862, 261293033753841694675297, 1011146670535769632656002, 3915712720647232883002009], 361076925466196614698041515754262073402218156422256\ 7670953874113845071980985107507453830953619632798858309921391992235277612644406\ 6875955546986726839007741783885079729649248456336551818308782836945961050225892\ 8797309551436318575601221543417405043289105400007541187021257136590916997906304\ 2954850200511685685181329924829332299927306595723562641681415088601826075313930\ 2252063875300953888076451392583843114061901407273136513268906706926371799056252\ 0749503052371743296734577648736289863500908263498044340009989954214387625817318\ 4566010609484524771594727196802053069613222093326629930477889786618257] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 2, 4} [P^2*x^10-2*P^2*x^9+2*P^2*x^8+2*P^2*x^7-4*P^2*x^6-2*P*x^7+6*P^2*x^5+4*P*x^6-2*P ^2*x^4-6*P*x^5-2*P^2*x^3+P*x^4+4*P^2*x^2+4*P*x^3+x^4-3*P^2*x-8*P*x^2-2*x^3+P^2+ 6*P*x+4*x^2-2*P-3*x+1, (C*x^2-x^2+x-1)/((x^5+x^2)*C-x^5+x^4-x^2+x-1), {-4*n*(n-\ 4)*a(n)+5*(n-1)*(11*n-54)*a(n-1)-3*(n-2)*(101*n-569)*a(n-2)+16*(n-3)*(56*n-347) *a(n-3)-16*(n-4)*(101*n-681)*a(n-4)+12*(n-5)*(147*n-1126)*a(n-5)+(-782*n^2+ 14660*n-59568)*a(n-6)+(-943*n^2+4105*n+15702)*a(n-7)+(2115*n^2-19419*n+24486)*a (n-8)+(-1864*n^2+18340*n-18096)*a(n-9)+(624*n^2-5184*n-17088)*a(n-10)+(365*n^2-\ 3563*n+18522)*a(n-11)+(-440*n^2-196*n+33552)*a(n-12)+(-54*n^2+9750*n-93108)*a(n -13)+(314*n^2-12038*n+96108)*a(n-14)+(-104*n^2+4184*n-35832)*a(n-15)+(-188*n^2+ 4394*n-25260)*a(n-16)+(275*n^2-7415*n+49950)*a(n-17)-30*(5*n-66)*(n-15)*a(n-18) +20*(2*n-27)*(n-16)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 38, a(10) = 111, a(11) = 341, a(12) = 1086, a(13) = 3554, a(14) = 11899, a(15) = 40582, a(16) = 140518, a(17) = 492717, a(18) = 1746119, a(19) = 6244281}, [0, 0, 0, 1, 1, 2, 5, 14, 38, 111, 341, 1086, 3554, 11899, 40582, 140518, 492717, 1746119, 6244281, 22505077, 81663594, 298102894, 1093943920, 4033342301, 14933614063, 55502736493, 206994427126, 774397014941, 2905445139526, 10929576500813, 41214062907667, 155761118200121, 589892793659161, 2238329160426522, 8508530781478817, 32397652296041911, 123553303846182049, 471883589575724960, 1804748561204942940, 6911381055182107305, 26500083167045802676, 101726594997284439845, 390930560420753441584, 1503895521258745511116, 5791160841599069279791, 22321439812108488291338, 86112786862519637358505, 332493830972478935603511, 1284851580139121105093079, 4968895115463835297519506], 432543125966930423059394\ 1938918560519415419763570442931479700182000427137732039956998363202092481533835\ 5887344037317325802899799811185036600953720990051511586390247978740356144128625\ 9916510694223695139613944029349365672431013773293248806415622082104235506234606\ 9138952014947575825045662685432166018177807373690347712222953496764038223263238\ 2245483533438360597088572865237195526764262940171695031787429996630805404016329\ 0568168263912433066015591879397668434739896207175273900036387832471289237913360\ 8177614255863514540250157125020230141369681066817396332842161741750351995865525\ 753755227153147405] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 2, 5} [P^2*x^8+3*P^2*x^5-2*P^2*x^4-3*P*x^5+P^2*x^3+2*P*x^4+2*P^2*x^2-2*P*x^3-3*P^2*x-\ 4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (C*x^2+x-1)/(x^4+C*x^2+x-1), {5*n*(n-5)* a(n)-3*(n-1)*(23*n-136)*a(n-1)+8*(n-2)*(46*n-309)*a(n-2)-33*(n-3)*(29*n-216)*a( n-3)+(1219*n^2-14969*n+40392)*a(n-4)+(-442*n^2+7238*n-25392)*a(n-5)+(-811*n^2+ 9011*n-23844)*a(n-6)+(1406*n^2-17926*n+54972)*a(n-7)+(-1019*n^2+14035*n-45912)* a(n-8)+(122*n^2-2008*n+6852)*a(n-9)+(412*n^2-6218*n+24720)*a(n-10)+(-371*n^2+ 5707*n-22476)*a(n-11)+(129*n^2-2307*n+10536)*a(n-12)+(50*n^2-934*n+4296)*a(n-13 )+(-27*n^2+585*n-3156)*a(n-14)+6*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 10, a(9) = 24, a(10 ) = 63, a(11) = 175, a(12) = 514, a(13) = 1575, a(14) = 5004, a(15) = 16367}, [ 0, 0, 0, 1, 1, 2, 4, 10, 24, 63, 175, 514, 1575, 5004, 16367, 54807, 187053, 648410, 2276764, 8080858, 28943591, 104480620, 379710541, 1388142109, 5101245370, 18833343828, 69819368113, 259801806690, 970002074488, 3632745860221 , 13643137020650, 51370027706104, 193880111616331, 733341746319645, 2779455421764061, 10554340005672434, 40148083604436306, 152971590669178263, 583745637672781390, 2230808633943628683, 8536687797803685247, 32709264462490198440, 125480210530457602437, 481919103670458667346, 1852853798828118447253, 7131025514830372676326, 27471617316838092429310, 105929543801045458345963, 408819264058562226370864, 1579097987218468262891849], 1309093051279893975858305848955792057027373444432689396605526182708142095365386\ 4027829827240294289996856277087048754975800340216461390061158025125481760571067\ 7078310594715084356177473542949996342398411780503437347879828649871328453584366\ 2843636942032708514331371629084120018799939173638157610599465586621675665789648\ 9434535074457199262531818350547888027442732505660148454996899547678302366854144\ 3176121145022543702058800448714851686731808561923244143394001193047601411303109\ 4735848330364967869983729327424375510101842310800156744316794538994978646014823\ 466598415536347459551342460033208616917090] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 3, 4} [P^2*x^10-2*P^2*x^9+4*P^2*x^8-4*P^2*x^7-2*P*x^8+5*P^2*x^6+4*P*x^7-6*P*x^6-P^2*x ^4+2*P*x^5+x^6+2*P^2*x^3-P*x^4-2*x^5-3*P^2*x^2-4*P*x^3+2*x^4+6*P*x^2+2*x^3+P^2-\ 3*x^2-2*P+1, (C*x^3-x^3+x^2-1)/((x^5+x^3)*C-x^5+x^4-x^3+x^2-1), {-2*n*(n-4)*a(n )+(n-1)*(17*n-90)*a(n-1)-9*(n-2)*(3*n-22)*a(n-2)-(n-3)*(83*n-434)*a(n-3)+(n-4)* (205*n-1254)*a(n-4)+(-23*n^2+41*n+390)*a(n-5)+(-239*n^2+3440*n-12132)*a(n-6)+( 305*n^2-3545*n+10194)*a(n-7)+(-311*n^2+2360*n-372)*a(n-8)+(125*n^2-809*n-270)*a (n-9)+(82*n^2+176*n-12792)*a(n-10)+(-116*n^2-1870*n+34524)*a(n-11)+(165*n^2+972 *n-30684)*a(n-12)+(-309*n^2+4353*n-11202)*a(n-13)+(518*n^2-12050*n+71652)*a(n-\ 14)+(-659*n^2+17897*n-121854)*a(n-15)+(660*n^2-18954*n+135972)*a(n-16)+(-480*n^ 2+14064*n-102720)*a(n-17)+(282*n^2-8514*n+63948)*a(n-18)-3*(37*n-522)*(n-17)*a( n-19)+14*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a (5) = 0, a(6) = 2, a(7) = 2, a(8) = 9, a(9) = 18, a(10) = 61, a(11) = 174, a(12 ) = 571, a(13) = 1848, a(14) = 6242, a(15) = 21314, a(16) = 74120, a(17) = 260636, a(18) = 926498, a(19) = 3321874, a(20) = 12001372}, [0, 0, 0, 1, 0, 2, 2, 9, 18, 61, 174, 571, 1848, 6242, 21314, 74120, 260636, 926498, 3321874, 12001372, 43642906, 159624469, 586805228, 2167002117, 8035111076, 29903309180, 111658793684, 418200482196, 1570659602074, 5914082566743, 22321010545874, 84427649770204, 319986403879572, 1215047150184046, 4621836064987448, 17609465169714092, 67195958556822036, 256782113523381992, 982593575588787008, 3764755110737559505, 14441828441086147758, 55462799994148860943, 213230512295910097588, 820617333971898959874, 3161210781453207572976, 12188968621702441431928, 47039423972819833149154, 181685683539646464010727, 702306143290883103941424, 2716838128453369225302742], 2395447311120687226945357\ 9726593899405273519972429166422529628560448753676146319086006976466502946810028\ 8700321444096099150569983459309445207774154476532272494710871009324135659352338\ 8358668369604370562126685013120947654005825633846658232524700883505025298479148\ 9770788047819458438631277161769379069713101809057620966101206918112322811244332\ 5174384178081801938163472278966280309646880645176352806911708313355460854641721\ 6267352232479092011995475401477088937704191514621637115004125319442014644353430\ 8920074249686401895295118814529972842840321091720850138264398189497330830686673\ 38765750374435335] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 3, 5} [P^2*x^8+2*P^2*x^6+P^2*x^5-2*P*x^6-P^2*x^4-P*x^5+2*P^2*x^3-2*P^2*x^2-4*P*x^3+x^ 4-P^2*x+4*P*x^2+2*x^3+P^2+2*P*x-2*x^2-2*P-x+1, (C*x^2+x^2-1)/(x^4+C*x^2+x^2-1), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-8*(n-2)*(19*n-138)*a(n-2)+6*(n-3)*(5 *n-76)*a(n-3)+(461*n^2-5113*n+13056)*a(n-4)+(-543*n^2+6711*n-19752)*a(n-5)+(-30 *n^2+1410*n-8088)*a(n-6)+(404*n^2-6718*n+27744)*a(n-7)+(-515*n^2+7021*n-23352)* a(n-8)+(322*n^2-4814*n+18048)*a(n-9)+(62*n^2-1066*n+2496)*a(n-10)+(-116*n^2+ 2074*n-8520)*a(n-11)+(134*n^2-1948*n+6216)*a(n-12)+(-92*n^2+1756*n-8280)*a(n-13 )+(18*n^2-486*n+3288)*a(n-14)-2*(n-12)*(5*n-64)*a(n-15)+4*(2*n-27)*(n-14)*a(n-\ 16) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 7, a(9) = 9, a(10) = 35, a(11) = 80, a(12) = 265, a(13) = 784, a(14) = 2594, a(15) = 8520, a(16) = 29044}, [0, 0, 0, 1, 0, 2, 1, 7, 9, 35, 80, 265, 784, 2594, 8520, 29044, 100032, 350337, 1239491, 4429612, 15955929, 57883464, 211261458, 775215631, 2858182112, 10582928852, 39335355479, 146711170232, 548920124772, 2059692333616, 7748881445093, 29223213676351, 110455822876779, 418359206029183, 1587618654587861, 6035620159378767, 22983961021908502, 87661426172004598, 334834837230667205, 1280715869559646350, 4905010834314750060 , 18808759150458471221, 72207771274950678747, 277513653254070413651, 1067668690562302489891, 4111662151947886492382, 15849144973820880819083, 61147969456305135929417, 236117248789060492212205, 912485174742752680224881], 7716857578832724580877032987854768458904820053457431862581194677038718633084153\ 7717452062160742277374623345211723101215039859703778724835489270429685999521185\ 5540618223462377139750524846747695286191720494551336470569175996142710570981127\ 6670430083812028787455409765393221148956115762839721383218268380020408888160063\ 8719130459918010112927773105908219541798704465109156958023022864908219916932542\ 2939113652131311317374418482001609826252370112194310850537531571188252232693794\ 7623585452792221706973346246990247006631910452193889375391418842818416406238649\ 95369401355901253749832710038039930281972] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 4, 5} [P^2*x^11+3*P^2*x^9+3*P^2*x^8-2*P*x^9+3*P^2*x^7-2*P*x^8+6*P^2*x^6-4*P*x^7+3*P^2 *x^5-8*P*x^6+x^7+P^2*x^4-5*P*x^5+2*x^6+2*P^2*x^3-4*P*x^4+2*x^5-2*P^2*x^2-4*P*x^ 3+3*x^4-2*P^2*x+4*P*x^2+2*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, ((x^4+x^3)*C+x^2+x-1)/ ((x^6+x^4+x^3)*C+x^4+x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-240*(n-2) *(n-7)*a(n-2)+2*(n-3)*(139*n-1184)*a(n-3)+(365*n^2-3841*n+9504)*a(n-4)+(-793*n^ 2+10421*n-32040)*a(n-5)+(-65*n^2+1627*n-8292)*a(n-6)+(373*n^2-6215*n+26256)*a(n -7)+(-310*n^2+722*n+13728)*a(n-8)+(609*n^2-9585*n+37368)*a(n-9)+(477*n^2-5667*n +7836)*a(n-10)+(-280*n^2+4460*n-20556)*a(n-11)+(153*n^2+3513*n-52104)*a(n-12)+( -290*n^2+8284*n-62508)*a(n-13)+(-75*n^2-537*n+23676)*a(n-14)+(196*n^2-5816*n+ 47844)*a(n-15)+(159*n^2-7221*n+71328)*a(n-16)+(438*n^2-15636*n+138012)*a(n-17)+ (248*n^2-8806*n+77376)*a(n-18)+(205*n^2-7253*n+64080)*a(n-19)+(198*n^2-7038*n+ 62280)*a(n-20)+(10*n^2-314*n+2496)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 15, a(9 ) = 35, a(10) = 90, a(11) = 237, a(12) = 659, a(13) = 1910, a(14) = 5779, a(15) = 18132, a(16) = 58719, a(17) = 195198, a(18) = 663027, a(19) = 2292010, a(20) = 8037876, a(21) = 28523282, a(22) = 102217331}, [0, 0, 0, 1, 1, 3, 6, 15, 35, 90, 237, 659, 1910, 5779, 18132, 58719, 195198, 663027, 2292010, 8037876, 28523282, 102217331, 369349436, 1344015545, 4920412909, 18108795186, 66956473541, 248590152735, 926349721176, 3463434258724, 12988073934417, 48839627814656, 184115004987824, 695676718753480, 2634207623187088, 9994210111372276, 37987622507607292, 144636054837811778, 551573015072786100, 2106577289192325649, 8056749137692127952, 30854186040340201591, 118306092064682131778, 454159775822498069825, 1745384266988860851397, 6714733822296397345769, 25858207720264142741582, 99673158608840837430048, 384545846898401557683528, 1484873667234012013343055], 1217954629678792248009840\ 0054218309951401975007031349541181221643808647611154571318228296562507355250607\ 2741945337047810526458473323687291429452730157462469074144607483684825833245604\ 0190925179551355671038713811103192192253123114932822292738448772897684504808481\ 0679836679572451275441221368851670505012221398098312948251776914445545347302292\ 1203956274014682849429157934420636458309397934052136211770609029351346141169375\ 3431080504373091600270075439943965791594721584542474058685463292714553770608651\ 9006558960583047668359974860718088421109917867096388158308247784407285958805724\ 81927422692427232] ---------------------------- (A,B)= , {1, 2, 3, 5}, {2, 3, 4} [P^2*x^10-P^2*x^8-2*P*x^9+2*P^2*x^7+2*P*x^8+2*P^2*x^6+x^8+2*P^2*x^5-4*P*x^6-2*x ^7-P^2*x^4-2*P*x^5+2*x^6-3*P^2*x^3-P*x^4+6*P*x^3+2*x^4-3*x^3+P^2-2*P+1, (C*x^4- x^4+x^3-1)/((x^5+x^4)*C-x^5+x^3-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-\ 36*(n-2)*(2*n-13)*a(n-2)+3*(5*n-14)*(n-3)*a(n-3)-64*(n-4)*(2*n-9)*a(n-4)+(248*n ^2-2888*n+8280)*a(n-5)+(117*n^2-771*n+318)*a(n-6)+(-17*n^2-31*n+702)*a(n-7)+(-\ 214*n^2+2974*n-8820)*a(n-8)+(-253*n^2+2161*n-1278)*a(n-9)+(134*n^2-848*n-6456)* a(n-10)+(67*n^2-1171*n+9006)*a(n-11)+(-95*n^2+3113*n-26310)*a(n-12)+(212*n^2-\ 8030*n+69360)*a(n-13)+(-28*n^2+1462*n-18084)*a(n-14)+(-8*n^2+2492*n-32400)*a(n-\ 15)+(-24*n^2+210*n+2460)*a(n-16)+(-99*n^2+2601*n-15966)*a(n-17)+(282*n^2-9354*n +77148)*a(n-18)+(-37*n^2+1495*n-14418)*a(n-19)+(-94*n^2+3082*n-24876)*a(n-20)+ 36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 1, a(7) = 3, a(8) = 6, a(9) = 16, a(10) = 49, a(11) = 149, a(12) = 476, a(13) = 1573, a(14) = 5308, a(15) = 18234, a(16) = 63558, a(17) = 224174, a(18) = 798557, a(19) = 2868767, a(20) = 10381122, a(21) = 37804739}, [0, 0, 0, 1, 0, 1, 3, 6, 16, 49, 149, 476, 1573, 5308, 18234, 63558, 224174, 798557, 2868767, 10381122, 37804739, 138442548, 509494916, 1883333783, 6989361851, 26031820059, 97271447680, 364549131145, 1369961362830, 5161156244877, 19488934572058, 73749143767694, 279632156916988, 1062230761215385, 4042021816575569, 15405580066697123, 58804863538357233, 224783482759785454, 860389699015806796, 3297406484107177017, 12652194175611535863, 48601240455203136047, 186892246475274018208, 719405747999595167768, 2771872561327669295954, 10689785968704147373670, 41261239304984137232461, 159395283897857124727657, 616243343395053255590025, 2384280320683270651319943], 2115721420254765933137973733044244484414493478054229065151494954765448486571614\ 8357021103133587949953410068845450482134304949309669822073563908054974453159151\ 4069232891215363009953799927636088990963019439933926424537044154254282081011753\ 2811569929711712438584747692980819232415852020151176816491891892399919922282645\ 5837322220352593527737059212599737212733174300236764341325891288385912160404604\ 1078646154596292408988511761173842446534025805289409502323878123796275870925971\ 8680457379437650077612199936660138697662782460242152361665057402725775970235677\ 205064970514892691588189866217856888339644] ---------------------------- (A,B)= , {1, 2, 3, 5}, {2, 3, 5} [P^2*x^8+2*P^2*x^7+P^2*x^6-2*P*x^7+P^2*x^5-2*P*x^6-P^2*x^4-P*x^5+x^6-P^2*x^3+2* P*x^3+x^4-P^2*x-x^3+P^2+2*P*x-2*P-x+1, (C*x^2+x^3-1)/(x^4+C*x^2+x^3-1), {-5*n*( n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-12*(n-2)*(14*n-99)*a(n-2)+3*(n-3)*(67*n-512 )*a(n-3)+(-133*n^2+1535*n-4032)*a(n-4)+(129*n^2-1857*n+6288)*a(n-5)+(51*n^2+123 *n-3264)*a(n-6)+(-152*n^2+1774*n-4584)*a(n-7)+(19*n^2+31*n-1128)*a(n-8)-2*(11*n +6)*(7*n-62)*a(n-9)+(30*n^2-534*n+576)*a(n-10)+(94*n^2-1496*n+6264)*a(n-11)+(38 *n^2-478*n+288)*a(n-12)+(6*n^2+270*n-4128)*a(n-13)+4*(n-14)*(n-39)*a(n-14)+(4*n ^2-188*n+1872)*a(n-15)+6*(7*n-103)*(n-16)*a(n-16)+12*(2*n-29)*(n-16)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 4, a(9) = 9, a(10) = 25, a(11) = 70, a(12) = 211, a(13) = 666, a(14) = 2173, a( 15) = 7272, a(16) = 24828, a(17) = 86113}, [0, 0, 0, 1, 0, 1, 2, 4, 9, 25, 70, 211, 666, 2173, 7272, 24828, 86113, 302528, 1074197, 3848590, 13894964, 50501701, 184623709, 678432184, 2504478083, 9283529437, 34539684308, 128938394287, 482808061198, 1812932762881, 6825027747331, 25754616672873, 97399358797404, 369095161704438, 1401328865479049, 5329736828014735, 20304179069736322, 77470051010240187, 296012418334382162, 1132599399020412815, 4339092468631990522, 16643567655046652770, 63913148764421705083, 245699282854768700092, 945503458609978132101, 3642046030550607190926, 14042033182467641879037, 54187298335081079918758, 209281088369929101201248, 808929614569295406464122], 6892091152532468622728862688318119489321130433759475\ 9741704826380208270219701694920286042990154092234884777853551782577734724341385\ 7208543269643501622255482632596126332760730863203420458027077687469603757740616\ 2197376739200694966942502621723933655019620523160123791196150468329933113105202\ 3909149846777542631859258243911556533856141201347515959141360432496358497844897\ 8766803816123159794605549318745228196309254878794449281517902099703254168536042\ 6047482622394763128723116926308644146925646538635403136022498815625462911782259\ 24481662199156422450983163014624811717056830050297292532200791512097] ---------------------------- (A,B)= , {1, 2, 3, 5}, {2, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9-2*P*x^10+5*P^2*x^8-2*P*x^9+5*P^2*x^7-4*P*x^8+x^9 +3*P^2*x^6-8*P*x^7+4*P^2*x^5-4*P*x^6+3*x^7-P^2*x^4-7*P*x^5+x^6-P^2*x^3+3*x^5+2* P*x^3+x^4-2*P^2*x-x^3+P^2+4*P*x-2*P-2*x+1, ((x^5+x^3)*C+x^3+x-1)/((x^6+x^5+x^3) *C+x^4+x^3+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-4*(n-2)*(64*n-441)*a(n-\ 2)+(n-3)*(463*n-3536)*a(n-3)+(-355*n^2+4295*n-11520)*a(n-4)+6*(3*n-16)*(9*n-85) *a(n-5)+(124*n^2+160*n-6276)*a(n-6)+(-677*n^2+7885*n-21072)*a(n-7)+(349*n^2-\ 4577*n+13848)*a(n-8)+(-99*n^2-1089*n+19692)*a(n-9)+(112*n^2-3260*n+14904)*a(n-\ 10)+(553*n^2-7073*n+15744)*a(n-11)+(n-12)*(53*n-919)*a(n-12)+(-142*n^2+9116*n-\ 96960)*a(n-13)+(124*n^2-1256*n+1344)*a(n-14)+(48*n^2-1794*n+15816)*a(n-15)+(269 *n^2-8371*n+65724)*a(n-16)+(774*n^2-27558*n+244848)*a(n-17)+(593*n^2-21493*n+ 193740)*a(n-18)+(638*n^2-23434*n+215208)*a(n-19)+(562*n^2-20822*n+192672)*a(n-\ 20)+(235*n^2-8777*n+81684)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*( n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 11, a(9) = 25, a(10) = 63, a(11) = 167, a(12) = 466, a(13) = 1373, a(14) = 4234, a(15) = 13549, a(16) = 44681, a(17) = 150916, a(18) = 519510, a(19) = 1815743, a(20) = 6424945, a(21) = 22966426, a(22) = 82795308, a (23) = 300642476}, [0, 0, 0, 1, 1, 2, 5, 11, 25, 63, 167, 466, 1373, 4234, 13549, 44681, 150916, 519510, 1815743, 6424945, 22966426, 82795308, 300642476, 1098478597, 4035362285, 14895061227, 55212841064, 205439352545, 767027090880, 2872651559039, 10789001827598, 40625827576432, 153339955630401, 580043982140949 , 2198611102534834, 8349393944997304, 31763202958506305, 121033580160824592, 461906541042296900, 1765337225531367671, 6755990698002549934, 25888326913408037541, 99321030569551884912, 381480251310350227441, 1466797463467160621653, 5645614227814243822318, 21750676887605596109090, 83875308015811681036929, 323724825721869700522920, 1250490880194553331151978], 1039974095070294865386370853699391768038250764902436067828464636304728951055031\ 8542274401245257956272630975073151229974289367977270543860222567493091675947709\ 8025976916580884361519309545634589002146589840312820711670438658154130775321787\ 0348155404442825647188255678828884608358493843512381272025682754630538986966217\ 2242274094296554624028199384752882952004963709815668355927736936734502878256189\ 4390267173227775056825345668659217554431044639466671428713140428739617215367315\ 7829361230700998573833973175593281350090706658358679263993724498341760834585715\ 108257608253140352776315833476060048894956] ---------------------------- (A,B)= , {1, 2, 3, 5}, {3, 4, 5} [P^2*x^11+2*P^2*x^10+4*P^2*x^9-2*P*x^10+5*P^2*x^8-4*P*x^9+6*P^2*x^7-6*P*x^8+x^9 +5*P^2*x^6-8*P*x^7+2*x^8+2*P^2*x^5-8*P*x^6+2*x^7-2*P^2*x^4-5*P*x^5+3*x^6-3*P^2* x^3+2*P*x^4+3*x^5-2*P^2*x^2+6*P*x^3+4*P*x^2-3*x^3+P^2-2*x^2-2*P+1, ((x^5+x^4)*C +x^3+x^2-1)/((x^6+x^5+x^4)*C+x^4+x^3+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)* a(n-1)-72*(n-2)*(n-8)*a(n-2)-5*(n-3)*(23*n-160)*a(n-3)+(107*n^2-1543*n+4440)*a( n-4)+(354*n^2-4890*n+15816)*a(n-5)+(276*n^2-2832*n+6540)*a(n-6)+(-325*n^2+6491* n-29712)*a(n-7)+(-804*n^2+13056*n-52224)*a(n-8)+(-623*n^2+7819*n-20052)*a(n-9)+ (124*n^2-6296*n+49188)*a(n-10)+(606*n^2-14760*n+85176)*a(n-11)+(600*n^2-10746*n +42444)*a(n-12)+(181*n^2+3343*n-74772)*a(n-13)+(-34*n^2+10358*n-133764)*a(n-14) +(97*n^2+3169*n-62736)*a(n-15)+(514*n^2-14900*n+110964)*a(n-16)+(995*n^2-34765* n+304020)*a(n-17)+(1215*n^2-43731*n+392868)*a(n-18)+(1123*n^2-40823*n+370680)*a (n-19)+(824*n^2-30328*n+278376)*a(n-20)+(501*n^2-18867*n+176580)*a(n-21)+2*(109 *n-1892)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3 ) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 6, a(9) = 11, a(10) = 30, a(11) = 75, a(12) = 218, a(13) = 653, a(14) = 2075, a(15) = 6802, a(16) = 22933 , a(17) = 78845, a(18) = 275380, a(19) = 973747, a(20) = 3478243, a(21) = 12529526, a(22) = 45459492, a(23) = 165959648}, [0, 0, 0, 1, 0, 2, 2, 6, 11, 30 , 75, 218, 653, 2075, 6802, 22933, 78845, 275380, 973747, 3478243, 12529526, 45459492, 165959648, 609158608, 2246640877, 8321197867, 30938356944, 115426889501, 431993547009, 1621395214413, 6101520152591, 23016202292380, 87015243989914, 329648978708825, 1251235953296091, 4757740841493263, 18121125120086397, 69126735014587326, 264083631096762249, 1010260399082027243, 3869784691598401916, 14841236737382312590, 56984144804207998245, 219034143485521549061, 842788772860148442751, 3246025979076546748481, 12513835973009303038371, 48285259283049161465381, 186468782943585989673124, 720689574977420300023251], 6122192299349207496215719541472146925360961197270817\ 1066665846256435915358855915982179563534089553405377370174130005912434541317370\ 7520919821941455379006997097025024062269148428036769213957535678549105468858325\ 5554941899123103385972802304003694768255702997476844766903201341275959603796252\ 9333029964946027448747622479933087029606056145846589603426179121195254485132877\ 1540928631253066873845288946146853231231303703432326584693754401845328791090228\ 1708561885099512558158213485470232786140056295046438488568694267118647321120570\ 93911829533018651262581586241282966171308827023295963144986304912556] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^9+2*P^2*x^8+2*P^2*x^5-3*P^2*x^4-2*P*x^5+3*P*x^4+P^2-2*P+1, -1 /(C*x^5-x^5+x^4-1), {-2*n*(n-4)*a(n)+(n-1)*(17*n-90)*a(n-1)-18*(n-2)*(2*n-13)*a (n-2)+6*n*(n-4)*a(n-4)+(-56*n^2+356*n-360)*a(n-5)+(145*n^2-1192*n+1884)*a(n-6)+ (-68*n^2+518*n-384)*a(n-7)-4*n*(n-4)*a(n-8)+(41*n^2-287*n+450)*a(n-9)+(-119*n^2 +1052*n-2196)*a(n-10)+(83*n^2-557*n-30)*a(n-11)+(-28*n^2+118*n+636)*a(n-12)-2*( n-10)*(n-9)*a(n-13)+2*(4*n-39)*(n-10)*a(n-14)+(n^2-49*n+414)*a(n-15)+(-5*n^2+ 128*n-804)*a(n-16)+2*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 14, a(10) = 44, a(11) = 136, a(12) = 441, a(13) = 1462, a(14) = 4963, a(15) = 17114, a(16) = 59828, a (17) = 211498}, [0, 0, 0, 1, 0, 1, 2, 6, 14, 44, 136, 441, 1462, 4963, 17114, 59828, 211498, 754799, 2715658, 9839447, 35870330, 131478748, 484250312, 1791259824, 6651732062, 24787816174, 92668223864, 347449890121, 1306222046438, 4922805329567, 18595040697938, 70387818640867, 266961512914644, 1014360125119145, 3860783600979542, 14718075062604946, 56192163565973898, 214837707145314878, 822469022009647920, 3152609644531941591, 12098526984003919802, 46481367933882689333, 178765634630280379966, 688215533676503959370, 2652030594978832267598, 10228833632309317075509, 39486492625134225080490, 152555719417902112876658, 589861066006879228367752, 2282428375492674070464398], 203313891106592447717234109528839241114650453729926\ 5729734715046923077189628872045972774883243739509781822767568268577209927370483\ 3828960281736688638114170894497086025840776553983817470892772836980094458677129\ 3565627432775984877507285945698444609452324347107904962178429231588268714198573\ 7307025870625221392571104047376107757733347130040561941570773733169292798498254\ 0941905320968216868249157666058278922575197291869888464659623327042131085592440\ 5205015724373845792899489927459587396141916443883296507850087576288209282413734\ 4334677217967680400729243527853940718553670071057194024818341623909636] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 2, 3, 5} [P^2*x^8+P^2*x^5-2*P^2*x^4-P*x^5+P^2*x^3+2*P*x^4-2*P*x^3-P^2*x+x^3+P^2+2*P*x-2* P-x+1, (C*x^2-1)/(x^4+C*x^2-1), {5*n*(n-5)*a(n)-3*(n-1)*(17*n-104)*a(n-1)+12*(n -2)*(14*n-99)*a(n-2)-(n-3)*(187*n-1472)*a(n-3)+(-5*n^2-173*n+792)*a(n-4)+(288*n ^2-3132*n+8232)*a(n-5)+(-435*n^2+5055*n-13980)*a(n-6)+(272*n^2-3256*n+9012)*a(n -7)+(19*n^2-611*n+3840)*a(n-8)+(-190*n^2+3056*n-13044)*a(n-9)+(226*n^2-3296*n+ 12744)*a(n-10)+(-103*n^2+1607*n-6444)*a(n-11)+(-15*n^2+213*n-648)*a(n-12)+(50*n ^2-934*n+4296)*a(n-13)+(-25*n^2+539*n-2892)*a(n-14)+2*(n-12)*(2*n-25)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 4, a(9) = 7, a(10) = 22, a(11) = 61, a(12) = 192, a(13) = 609, a(14) = 2014, a( 15) = 6783}, [0, 0, 0, 1, 0, 1, 1, 4, 7, 22, 61, 192, 609, 2014, 6783, 23289, 81080, 285706, 1016808, 3649771, 13197172, 48026352, 175762498, 646463471, 2388363802, 8859291550, 32981576935, 123189291446, 461506680507, 1733711443842, 6529396653670, 24647993587801, 93245268765729, 353460880778046, 1342347204128176, 5106731838685237, 19459288034397250, 74262948488663793, 283817051193046302, 1086148273788034313, 4161889419168015316, 15966583901897574796, 61323268759424583482, 235778614891807606653, 907455573996399431316, 3495956362949605427137, 13480492476261454500370, 52026614626919901623805, 200959108112737471098031, 776847225797473623533863], 6645903782609400675982347783247970090229151267579898017819080112131701254138814\ 6213965074566451429394227764013256501284432909576556362784365735550474484230509\ 5328897503426051642117252263721029559504102195437256334907772923547268191501543\ 4565748367638188394072789085485406614676007962106234603575461816496724190265838\ 4386062794532291095637360609346226905745665693814136806961663100009105022360253\ 3499907025286602692019695110776656784227956877687648569999186701485437308152568\ 9558504220407010997280839333512930567391806650599821081980187595952824133972645\ 00407842685235560099052471995951146513593] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 2, 4, 5} [P^2*x^11+P^2*x^9+3*P^2*x^8-2*P*x^8+2*P^2*x^6+2*P^2*x^5-2*P*x^6-2*P^2*x^4-3*P*x ^5+P^2*x^3+2*P*x^4+x^5-2*P*x^3-2*P^2*x+x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3+x-1)/((x ^6+x^3)*C+x^4+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-4*(n-2)*(64*n-441)*a (n-2)+(n-3)*(449*n-3472)*a(n-3)+(-205*n^2+2813*n-7992)*a(n-4)+(-354*n^2+3882*n-\ 10320)*a(n-5)+(672*n^2-8010*n+23016)*a(n-6)+(-551*n^2+7225*n-22560)*a(n-7)+(-84 *n^2-36*n+4800)*a(n-8)+(551*n^2-6427*n+15480)*a(n-9)+(-470*n^2+4432*n-1704)*a(n -10)+(188*n^2-1618*n-5136)*a(n-11)+(225*n^2-2103*n+432)*a(n-12)+(-217*n^2+1589* n+6120)*a(n-13)+(74*n^2+776*n-18288)*a(n-14)+(29*n^2-895*n+8040)*a(n-15)+(45*n^ 2-2223*n+21696)*a(n-16)+(-27*n^2+1143*n-10488)*a(n-17)+(80*n^2-2890*n+25440)*a( n-18)+3*(n-16)*(17*n-277)*a(n-19)-2*(11*n-156)*(n-17)*a(n-20)+20*(2*n-31)*(n-18 )*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 20, a(10) = 50, a(11) = 134, a(12) = 383, a(13) = 1155, a (14) = 3641, a(15) = 11874, a(16) = 39755, a(17) = 135860, a(18) = 471890, a(19 ) = 1660620, a(20) = 5906997, a(21) = 21201513}, [0, 0, 0, 1, 1, 2, 4, 9, 20, 50, 134, 383, 1155, 3641, 11874, 39755, 135860, 471890, 1660620, 5906997, 21201513, 76680414, 279164715, 1022183297, 3761766186, 13906068481, 51613292756 , 192260541831, 718525481753, 2693333152695, 10123322999633, 38145589034734, 144068314964840, 545280593802285, 2067910975821528, 7856765847850897, 29902124203931793, 113987685550463084, 435178604236733762, 1663760996360135075, 6369301652970545115, 24413890645142799420, 93690615048401582296, 359949198367150858276, 1384352493504828621517, 5329529137137540865445, 20537415132782296966889, 79213140705593901153841, 305790771185673343231323, 1181434655569899569677964], 989152521688410242311328888218859612774396804360828\ 3630721811329765770693684310016960816461087231588514941139656461401960965317400\ 5641982899595062783878218992231813103322613250996607767297113409018963506292324\ 7334216296072640172534015518837620542516767539254832550781753509938956183811089\ 0688109492653380890810400589704800332311959302930721619103500598527976156232324\ 4619303918363136164111749426377155537049815100613193584950405771150214836575391\ 8232056743526799624852482716105320476029349451473063512433278586576591023370962\ 653537250218891561276392948789489935381994300592470524912641277359559] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 3, 4, 5} [P^2*x^11+3*P^2*x^9+P^2*x^8-2*P*x^9+3*P^2*x^7+2*P^2*x^6-4*P*x^7-2*P*x^6+x^7-P^2 *x^4-P*x^5-P^2*x^3+x^5-2*P^2*x^2+2*P*x^3+x^4+4*P*x^2-x^3+P^2-2*x^2-2*P+1, (C*x^ 4+x^2-1)/((x^6+x^4)*C+x^4+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-72*( n-2)*(n-8)*a(n-2)-3*(n-3)*(43*n-288)*a(n-3)+(221*n^2-2701*n+7248)*a(n-4)+(180*n ^2-2532*n+8376)*a(n-5)+(-64*n^2+1454*n-6936)*a(n-6)+(-61*n^2+1865*n-10200)*a(n-\ 7)+(-201*n^2+3489*n-14616)*a(n-8)+(-297*n^2+2313*n+2928)*a(n-9)+(96*n^2-1248*n+ 3816)*a(n-10)+(39*n^2-2379*n+15888)*a(n-11)+(138*n^2-3096*n+19080)*a(n-12)+(100 *n^2+508*n-23544)*a(n-13)+(-12*n^2+984*n-12144)*a(n-14)+(82*n^2-872*n-1080)*a(n -15)+(98*n^2-2464*n+15864)*a(n-16)+(16*n^2-944*n+11352)*a(n-17)+(288*n^2-9738*n +82344)*a(n-18)+(-54*n^2+1602*n-11520)*a(n-19)+(220*n^2-7724*n+67584)*a(n-20)-6 *(5*n-76)*(n-19)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a( 3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 6, a(9) = 7, a(10) = 27, a(11) = 59, a(12) = 194, a(13) = 570, a(14) = 1887, a(15) = 6215, a(16) = 21250 , a(17) = 73447, a(18) = 258000, a(19) = 915391, a(20) = 3279275, a(21) = 11837804, a(22) = 43024810}, [0, 0, 0, 1, 0, 2, 1, 6, 7, 27, 59, 194, 570, 1887 , 6215, 21250, 73447, 258000, 915391, 3279275, 11837804, 43024810, 157292350, 578028593, 2133966638, 7910705487, 29434297165, 109888307918, 411507287346, 1545318377963, 5817991916117, 21956100369007, 83039848625529, 314700913377372, 1194889582246885, 4544858794057569, 17315134943840870, 66069197509764062, 252463636842513301, 966024087951121292, 3701112765673196397, 14197135371328947570, 54521091786069167296, 209602974016048439742, 806631404160662569212, 3107242568887633787126, 11980549951877975259756, 46233911088683322556050, 178570154237976437034913, 690247412130433451815588], 5890653371098448335297777110447695009579354247549873929677568185988522398988752\ 0455909582566633954652374545335051046723882473808655815425582782539502046818396\ 9832653209770839303157833791487386348932591204046647390623373737921285146041940\ 9551292697361648905298261819991566025197949911765108569945765084365438499467091\ 1226604335890623838464034871721167075152639125521309177722203122453652655517469\ 7757918731111813034366459926139994555529271755562541761671511534533682631394284\ 5259263115908683293773336618594827488017975762789188003398831107116914183628904\ 24959858346202746540966788802896633886404] ---------------------------- (A,B)= , {1, 2, 3, 5}, {2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+2*P^2*x^9-2*P*x^10+3*P^2*x^8-2*P*x^9+3*P^2*x^7-2*P*x^8+x^9 +P^2*x^6-4*P*x^7-P^2*x^5-2*P*x^6+x^7-3*P^2*x^4+P*x^5+x^6-2*P^2*x^3+4*P*x^4+4*P* x^3-x^4-2*x^3+P^2-2*P+1, (C*x^5+x^3-1)/((x^6+x^5)*C+x^4+x^3-1), {-5*n*(n-5)*a(n )+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+2*(n-3)*(7*n-32)*a(n-3)+(-\ 103*n^2+1091*n-2736)*a(n-4)+(115*n^2-1871*n+6696)*a(n-5)+(257*n^2-3097*n+8832)* a(n-6)+(173*n^2-2059*n+5760)*a(n-7)+(-16*n^2+1052*n-7176)*a(n-8)+(-356*n^2+5464 *n-19512)*a(n-9)+(-405*n^2+6135*n-23148)*a(n-10)+(-129*n^2+1083*n+2472)*a(n-11) +(61*n^2-3815*n+35304)*a(n-12)+(75*n^2-1377*n+960)*a(n-13)+(78*n^2-270*n-10260) *a(n-14)+(-46*n^2+4754*n-59844)*a(n-15)+(-20*n^2+4138*n-57780)*a(n-16)+(99*n^2-\ 2145*n+9756)*a(n-17)+(199*n^2-7103*n+63588)*a(n-18)+(343*n^2-12731*n+118080)*a( n-19)+12*(n-18)*(26*n-505)*a(n-20)+(195*n^2-7437*n+70524)*a(n-21)+(162*n^2-6318 *n+60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 3, a(9) = 7, a(10) = 19, a(11) = 51, a(12) = 153, a(13) = 484, a(14) = 1582, a(15) = 5315, a(16) = 18219, a(17) = 63415, a(18) = 223487, a(19) = 795714, a(20) = 2857602, a(21) = 10338343, a( 22) = 37642739, a(23) = 137832321}, [0, 0, 0, 1, 0, 1, 2, 3, 7, 19, 51, 153, 484, 1582, 5315, 18219, 63415, 223487, 795714, 2857602, 10338343, 37642739, 137832321, 507201239, 1874716229, 6956967834, 25909918886, 96812099745, 362815593558, 1363408790804, 5136348688759, 19394866468688, 73391894697097, 278273376666686, 1057055252227009, 4022281339220939, 15330185920273319, 58516548101986502, 223679597422994794, 856158317269450503, 3281168953305891106, 12589818433835753552, 48361385378427800837, 185969037243816876152, 715849017028785094476, 2758157928544545252340, 10636858242247884074809, 41056814920349360563195, 158605118610587274713053, 613186837897335700871823], 5270859287383922376918695554754630449606841749225257559741269423551828462850566\ 1828871982739468897658348760147486547949134261359431093920331236694813321250190\ 3287276935503729815807158179897140412659033148111929046273773252661877449037194\ 6440900645201192492641155604110720918196903969676295855574897154780228833313514\ 1799215405722425373715387772050507539323361752282840689991173230956687780079777\ 9467666417472798759608629219338467820181615695095163163926308298052052018321865\ 8504158875108505274508537576689124642696327780267324658020869682448551611911895\ 10895751729399957210534389157432088559229] ---------------------------- (A,B)= , {1, 2, 3, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^9+P^2*x^8-P^2*x^5-2*P^2*x^4+P*x^5+2*P*x^4+P^2-2*P+1, -1/(C*x^6+ x^4-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+(11*n ^2-67*n+72)*a(n-4)+(-89*n^2+781*n-1464)*a(n-5)+(157*n^2-1859*n+5004)*a(n-6)+(92 *n^2-934*n+1920)*a(n-7)+(-7*n^2+59*n-144)*a(n-8)+(56*n^2-652*n+2064)*a(n-9)+(-\ 82*n^2+1322*n-5376)*a(n-10)+(-124*n^2+1550*n-5148)*a(n-11)+3*(n+1)*(13*n-88)*a( n-12)+(-97*n^2+1013*n-2184)*a(n-13)+(13*n^2-299*n+1692)*a(n-14)+4*(7*n-75)*(n-\ 11)*a(n-15)+(-6*n^2+96*n-336)*a(n-16)+(23*n^2-493*n+2628)*a(n-17)+2*(n-12)*(2*n -25)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 1, a (7) = 1, a(8) = 3, a(9) = 5, a(10) = 16, a(11) = 44, a(12) = 138, a(13) = 441, a(14) = 1466, a(15) = 4963, a(16) = 17112, a(17) = 59797, a(18) = 211363}, [0, 0, 0, 1, 0, 1, 1, 3, 5, 16, 44, 138, 441, 1466, 4963, 17112, 59797, 211363, 754229, 2713440, 9830956, 35838242, 131358044, 483797293, 1789560167, 6645351737, 24763838646, 92577988804, 347109775518, 1304937987538, 4917949520755, 18576647902113, 70318039260142, 266696371231006, 1013351160692740, 3856938616029668, 14703402432533247, 56136098847168650, 214623213639362499, 821647428835284454, 3149459038763247631, 12086432053627312136, 46434888226567810153, 178586840250500650257, 687527110198917786185, 2649377512570069586086, 10218600183893558505645, 39446987506587105889707, 152403093023167242182592, 589270951214029720124131], 5085514551140436824150162685681316118246619280136282873448959254849857036615339\ 8311343778030228240646307071110224537524337549343186290175379425106867554962054\ 0086331075280042275845257023509311369265788781612914925652147055160433558653831\ 1031825472073142415339177767120408989853728626093766787933267786240373352969040\ 0356460480817641761854597220718546465651827278611115548623253996219449426946568\ 1224738562925016622701972946311065060756596131566477739001394864834229510930710\ 9304238592607247271302041889133248936798577494058197800595621156572721588608158\ 06307180232791257626374691435382819620480] ---------------------------- (A,B)= , {1, 2, 4, 5}, {} [P^2*x^7+4*P^2*x^6+5*P^2*x^5-2*P*x^6+2*P^2*x^4-6*P*x^5-3*P^2*x^3-4*P*x^4+x^5-3* P^2*x^2+3*P*x^3+2*x^4+6*P*x^2+P^2-3*x^2-2*P+1, ((x^3-x)*C-x^3-x^2+1)/((x^4+x^3- x)*C-x^4-2*x^3-x^2+1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-2*(n-2)*(22*n-\ 139)*a(n-2)-9*(n-3)*(11*n-48)*a(n-3)+(146*n^2-1704*n+4516)*a(n-4)+(292*n^2-2538 *n+5204)*a(n-5)+(-134*n^2+2448*n-9604)*a(n-6)+(-405*n^2+4173*n-8940)*a(n-7)+(-\ 103*n^2-897*n+11740)*a(n-8)+(113*n^2-1311*n+1048)*a(n-9)+(-32*n^2+3336*n-28624) *a(n-10)+(-40*n^2+1830*n-13988)*a(n-11)+(244*n^2-5808*n+34592)*a(n-12)+(377*n^2 -9069*n+54460)*a(n-13)+(210*n^2-5190*n+31920)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15 ) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 11, a (8) = 28, a(9) = 77, a(10) = 224, a(11) = 688, a(12) = 2200, a(13) = 7255, a(14 ) = 24504, a(15) = 84319}, [0, 0, 1, 1, 2, 5, 11, 28, 77, 224, 688, 2200, 7255, 24504, 84319, 294476, 1040883, 3716054, 13378544, 48512663, 177012658, 649413575, 2394043787, 8863575974, 32942820245, 122864103287, 459687083563, 1724852880079, 6489170852919, 24472682307596, 92501292574483, 350360970820539, 1329599922753833, 5054822974793704, 19249471186971324, 73419725265094013, 280443530345322305, 1072700040766713563, 4108433443828803177, 15754593400909587801, 60484166383669498909, 232462397215714488307, 894366090145575503118, 3444344135360268702424, 13277156320133799245201, 51226088155024732950326, 197809245146262244472367, 764459000541777347302046, 2956637893906242047018498, 11443623748054987052930088], 10326233048713148358626\ 0961062218843507204440422998253183705505547310296769796911260492169908614958825\ 1603259539344504651267502003028621741339674437840551766984814783216142467532798\ 6058517695381760959853523899590343238854930557205627526072551357934567857303656\ 9333875077042131232358931228289133395547643732784632616194646598337979621009893\ 1346771449174734768390488186054582708069779249875054577970052233029505134728597\ 5210154632347189485556263744734823009010108860543560759738765888359706533611386\ 3220276138119023190685404467645090721649826301818272128024146659781481875730676\ 99385402224861503097] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1} [P^2*x^7+2*P^2*x^6-3*P^2*x^3+3*P*x^3+P^2-2*P+1, (-C*x+1)/((x^4-x)*C-x^4-x^3+1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56)*a(n-1)-28*(n-2)*(2*n-11)*a(n-2)+9*n*(n-3)*a( n-3)+(-81*n^2+459*n-504)*a(n-4)+(180*n^2-1458*n+2664)*a(n-5)-6*n*(n-3)*a(n-6)+( 58*n^2-402*n+728)*a(n-7)+(-122*n^2+1296*n-3568)*a(n-8)-28*(n-2)*(2*n-11)*a(n-9) -6*(n-8)*(n-7)*a(n-10)+3*(n-8)*(7*n-61)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a (1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 17, a(9) = 49, a(10) = 150, a(11) = 477, a(12) = 1570}, [0, 0, 1, 1, 1, 3, 7, 17, 49, 150, 477, 1570, 5295, 18186, 63381, 223548, 796354, 2860966, 10353329, 37705065, 138082740, 508188210, 1878562129, 6971850354, 25967264026, 97032486568, 363661294167, 1366651480242, 5148778548688, 19442514691816, 73574598978324, 278974255159262, 1059745405651914, 4032613334772625, 15369894596127077, 58669267286071620, 224267378703912521, 858422202828815147, 3289894831699053032, 12623475549896993891, 48491298530581161026, 186470838852935590179, 717788594354972885401, 2765659826083874049083, 10665892896330477983346, 41169258849037869574629, 159040852610725914492006, 614876365305751674696694, 2379003582596798800616626, 9211202161118828412538771] , 84331815316306995703604367888910462717726946270242509487457385814109351493430\ 3088592784797565683907636040861274556795998934002176112986816397054709059058194\ 8203979140860944952738860673690850543262632146111049849681012296314862855862666\ 7310380428463167522324220434167302710785525409575558978124171033958211608942169\ 1328590820181927376847743385226601552966723590378677589372642423232769625725554\ 0686356477783226892740276246636554926955378087305632538757985229824951144545968\ 8181063727292955619584478911183683717246768348088972188944944075471477487632120\ 29550821009386924518898974158408898978520182] ---------------------------- (A,B)= , {1, 2, 4, 5}, {2} [P^2*x^7+4*P^2*x^6+3*P^2*x^5-2*P*x^6-4*P^2*x^4-4*P*x^5-6*P^2*x^3+4*P*x^4+x^5-P^ 2*x^2+9*P*x^3+3*P^2*x+2*P*x^2-3*x^3+P^2-6*P*x-x^2-2*P+3*x+1, ((x^3-x^2-x)*C-x^3 +x+1)/((x^4+x^3-x^2-x)*C-x^4-2*x^3+x+1), {-3*n*(n-3)*a(n)+(n-1)*(11*n-64)*a(n-1 )+2*(n-2)*(31*n-115)*a(n-2)-45*(n-3)*(3*n-20)*a(n-3)+(-484*n^2+4578*n-10508)*a( n-4)+(138*n^2-2052*n+6600)*a(n-5)+(934*n^2-9996*n+26180)*a(n-6)+(367*n^2-2319*n -496)*a(n-7)+(-579*n^2+6177*n-12972)*a(n-8)+(-350*n^2+1092*n+13628)*a(n-9)+(46* n^2-684*n+104)*a(n-10)+(-246*n^2+7200*n-48228)*a(n-11)+(-194*n^2+4752*n-28768)* a(n-12)+(183*n^2-4527*n+27852)*a(n-13)+(186*n^2-4650*n+28896)*a(n-14)+20*(2*n-\ 23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 3, a(8) = 10, a(9) = 27, a(10) = 83, a(11) = 269, a(12) = 890, a(13 ) = 3023, a(14) = 10439, a(15) = 36541}, [0, 0, 1, 0, 1, 2, 3, 10, 27, 83, 269, 890, 3023, 10439, 36541, 129360, 462258, 1665130, 6039738, 22040172, 80859141, 298059642, 1103369607, 4100144783, 15289052096, 57191230496, 214549665722, 806998065832, 3042793488619, 11498662483416, 43543713967600, 165212522554772, 627975127718744, 2390959652835201, 9117708040168526, 34820932680584290, 133167387752526816, 509944579237743646, 1955165581198841633, 7504989340879605169, 28840014319763075455, 110941677370721018452, 427193628086244895543, 1646509436222275287750, 6351748457634023653160, 24524127287320995245902, 94764986851702925922481, 366471627207840771800567, 1418260472361508223398678, 5492636875170113611163324], 508090109445492503932948\ 3550428460921734412035101493518467748411175428183212858331898575375304855157812\ 5993859704312640829856047565160517811954836123667647971595523891414491190541725\ 5425356592885928219657642355368545885695043114476055795630857821912323761912386\ 6444886063002977372654239786980662187967163626768960471928890854792958750305992\ 8883738498521063184189868089667352090958458523936159932234885283199824676584874\ 8897847542894416760318447939761084965641806540367186384315959471669340396514244\ 9131184870351228422186314503387715802909297230955163185032442535435325969909079\ 741763254867706870] ---------------------------- (A,B)= , {1, 2, 4, 5}, {3} [P^2*x^9-2*P^2*x^7-2*P*x^8-3*P^2*x^6+2*P^2*x^5+6*P*x^6+x^7+7*P^2*x^4+2*P*x^5+2* P^2*x^3-8*P*x^4-4*x^5-2*P^2*x^2-9*P*x^3+x^4-4*P^2*x+4*P*x^2+7*x^3+2*P^2+8*P*x-2 *x^2-4*P-4*x+2, ((x^4-x^2+x)*C-x^4+2*x^2-1)/((x^5-x^2+x)*C-x^5+x^3+2*x^2-1), {-\ 12*n*(n-3)*a(n)+144*(n-1)*(n-4)*a(n-1)-8*(n-2)*(74*n-365)*a(n-2)+12*(n-3)*(73*n -440)*a(n-3)+(4*n^2+756*n-3040)*a(n-4)+(-604*n^2+8964*n-29936)*a(n-5)+(-656*n^2 +2448*n+9728)*a(n-6)+(630*n^2-9258*n+31056)*a(n-7)+(537*n^2+897*n-41640)*a(n-8) +(-1824*n+23064)*a(n-9)+(342*n^2-14640*n+115092)*a(n-10)+(-192*n^2+4332*n-39264 )*a(n-11)+(-788*n^2+23874*n-166660)*a(n-12)+(-491*n^2+12645*n-78304)*a(n-13)+( 627*n^2-19413*n+146256)*a(n-14)+(525*n^2-14433*n+99012)*a(n-15)+(-98*n^2+3594*n -31000)*a(n-16)+(-259*n^2+7461*n-53432)*a(n-17)-2*(19*n-232)*(n-17)*a(n-18)+36* (2*n-27)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 11, a(8) = 28, a(9) = 76, a(10) = 218, a(11) = 659, a(12) = 2075, a(13) = 6749, a(14) = 22525, a(15) = 76732, a(16) = 265722, a(17) = 932597, a(18) = 3309551, a(19) = 11854402}, [0, 0, 1, 1, 2, 5, 11, 28, 76, 218, 659, 2075, 6749, 22525, 76732, 265722, 932597, 3309551, 11854402, 42798041, 155570102, 568859108, 2090975269, 7721510766, 28631936098, 106564697698, 397956853422, 1490685210719, 5599486413770, 21087364799239, 79601277560215, 301136487785151, 1141518748220496, 4335280363202425, 16493405802676183, 62851058229236068, 239871598936044764, 916786377620116868, 3508676713655840273, 13445299927975221001, 51584415520614967971, 198133960962218633605, 761843059323101058553, 2932338763226947605348, 11297503542302588352998, 43566221156379015696215, 168150125555803363246413, 649541030810171197701034, 2511085467797087655349219, 9715081478021903911869058], 861702883852732403093064\ 6847927921754911389053493511421232734925407867018595208812170227845312052226578\ 3936324526861972855635195765036776168929814039245480062364742651250247632541551\ 5372496787056061755106530399452919029133346999213289369128400531730860739878939\ 5442572968194682520348179818551708113508506685407766050819179447686249373276273\ 9583994908867684305339560260738391035817271163715075170800949618964696774489561\ 8599201079652847540792965902346472103282618704552757356218330217500183905284238\ 9443046448762863362289203024849485521556666826497553842730343123448790934240078\ 493529046385179132] ---------------------------- (A,B)= , {1, 2, 4, 5}, {4} [P^2*x^6+3*P^2*x^4-P^2*x^3-3*P*x^4+2*P^2*x^2-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^ 2-2*P-3*x+1, (C*x^2+x-1)/(C*x^2+x^3+x-1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n -1)+3*(n-2)*(97*n-553)*a(n-2)+(-756*n^2+7080*n-14424)*a(n-3)+(1055*n^2-11369*n+ 28446)*a(n-4)+(-934*n^2+10498*n-28548)*a(n-5)+(851*n^2-9263*n+24114)*a(n-6)+(-\ 777*n^2+9417*n-27750)*a(n-7)+(421*n^2-5407*n+17538)*a(n-8)+(-225*n^2+2793*n-\ 8430)*a(n-9)+(116*n^2-1898*n+7860)*a(n-10)-3*(n-10)*(n-9)*a(n-11)+6*(n-10)*(2*n -21)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a (7) = 11, a(8) = 27, a(9) = 71, a(10) = 196, a(11) = 570, a(12) = 1732}, [0, 0, 1, 1, 2, 5, 11, 27, 71, 196, 570, 1732, 5458, 17727, 59012, 200434, 692073, 2422350, 8575284, 30649041, 110441344, 400778540, 1463322748, 5371746225, 19813592823, 73393891126, 272908388009, 1018294571033, 3811460874314, 14307094850734, 53845471689909, 203138959554352, 768073690873381, 2910091262729481, 11046903992144296, 42009515207560426, 160020827233860313, 610493072943104698, 2332482336051578389, 8923828547524276587, 34185703043579505938, 131119249962326410873, 503486567298962603250, 1935450298030274359873, 7447734460264926296609, 28687426365236587398145, 110602044980174160604642, 426795025731346435484453, 1648321843243830524237183, 6371097647932480899046697], 543253535670944614363283111480304969818629432107628\ 1453343985273262485965278027352658399652576437192117570304915104689979547124098\ 9715005983487771216304685303151070721529869661211503889251240845378312254953068\ 5445219149542307142620291374453418988292046494225168248145273147582230937197804\ 9761336339788317433271349781072662434576104312268690646455454095681593850469630\ 4483186323134618283650323597697013948553080679832034668527689878630397273157303\ 9742941359643335245726293369283921769727478939099287338330552625787954002148056\ 4926201168894688226396143446667677229034681150702347972945869250268850] ---------------------------- (A,B)= , {1, 2, 4, 5}, {5} [P^2*x^9+2*P^2*x^8-2*P*x^8-3*P^2*x^6-2*P*x^7-2*P^2*x^5+4*P*x^6+x^7+4*P^2*x^4+5* P*x^5+3*P^2*x^3-4*P*x^4-3*x^5-8*P*x^3-3*P^2*x+5*x^3+P^2+6*P*x-2*P-3*x+1, ((x^4- x^2)*C-x^2-x+1)/((x^5+x^4-x^2)*C-x^3-x^2-x+1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-\ 136)*a(n-1)-4*(n-2)*(88*n-597)*a(n-2)+(763*n^2-8171*n+17616)*a(n-3)+(-412*n^2+ 5516*n-15096)*a(n-4)+(-694*n^2+9998*n-34272)*a(n-5)+(136*n^2-6014*n+34116)*a(n-\ 6)+(1459*n^2-20765*n+71940)*a(n-7)+(-125*n^2+5989*n-40512)*a(n-8)+(-1303*n^2+ 20849*n-79044)*a(n-9)+(-340*n^2+2696*n+2976)*a(n-10)+(691*n^2-10499*n+29832)*a( n-11)+(343*n^2-3917*n+5148)*a(n-12)+(-130*n^2+830*n+10656)*a(n-13)+(-13*n^2-\ 2551*n+35136)*a(n-14)+(-73*n^2+2327*n-19140)*a(n-15)+(-140*n^2+4672*n-38592)*a( n-16)+(-23*n^2+655*n-4632)*a(n-17)+(82*n^2-2726*n+22584)*a(n-18)+20*(2*n-31)*(n -18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a (7) = 10, a(8) = 23, a(9) = 55, a(10) = 136, a(11) = 355, a(12) = 972, a(13) = 2788, a(14) = 8352, a(15) = 25994, a(16) = 83588, a(17) = 276218, a(18) = 933441, a(19) = 3212705}, [0, 0, 1, 1, 2, 5, 10, 23, 55, 136, 355, 972, 2788, 8352, 25994, 83588, 276218, 933441, 3212705, 11224294, 39701142, 141872925, 511375059, 1856795838, 6784678040, 24927469729, 92028278882, 341208890414, 1269922253820, 4742692489824, 17767328434689, 66749350053319, 251416911056765, 949232761218676, 3591709304122298, 13617854569354767, 51728753451420773, 196840592839108938, 750249946911264876, 2863916055115203302, 10948038121808810841, 41907961727374067365, 160622676348416291972, 616362307500265356319, 2367857763150906428807, 9106242870244299842804, 35056032271809849354150, 135083995363702024424552, 521005138284601946454286, 2011212504637621836998232], 163126734117302199070573497216265911177848026427827\ 9009698102676550255100336955542208618198554612270082550574487738277516611347074\ 6965274413364487850489352816176804190590205690995566269616622440306084017745512\ 4268282689991900682245189853313077263332820544114299870093310682855525242780757\ 3908751886187832982482809200970560026195209754288963951981853707926244371310614\ 8704287114424367242584351820860008876001701673425400363963487726069765484849264\ 9672660271842898274362812791222391687073053969332071704317375032309242252589035\ 5926475529134145328503781267733383451580993675772094712788938928658074] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 2} [P^2*x^7+2*P^2*x^6-2*P^2*x^5-4*P^2*x^4+2*P*x^5-2*P^2*x^3+4*P*x^4+2*P^2*x^2+P*x^ 3+3*P^2*x-4*P*x^2+x^3+P^2-6*P*x+2*x^2-2*P+3*x+1, ((-x^2-x)*C+x^2+x+1)/((x^4-x^2 -x)*C-x^4-x^3+x^2+x+1), {3*n*(n-3)*a(n)-(n-1)*(11*n-64)*a(n-1)-50*(n-2)*(n-4)*a (n-2)+6*(n-3)*(11*n-96)*a(n-3)+(387*n^2-3933*n+9480)*a(n-4)+(405*n^2-4323*n+ 11640)*a(n-5)+(-108*n^2+1080*n-2160)*a(n-6)+(-545*n^2+5523*n-12880)*a(n-7)+(-\ 312*n^2+2814*n-3504)*a(n-8)+(202*n^2-2622*n+9824)*a(n-9)+(174*n^2-1686*n+2592)* a(n-10)+(-77*n^2+1995*n-11944)*a(n-11)+(-58*n^2+1254*n-6800)*a(n-12)+10*(n-11)* (5*n-56)*a(n-13)+12*(2*n-21)*(n-12)*a(n-14) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 6, a(9) = 22, a(10) = 65, a(11) = 214, a(12) = 726, a(13) = 2480, a(14) = 8622}, [0, 0, 1, 0, 0, 2, 2, 6, 22, 65, 214, 726, 2480, 8622, 30348, 107864, 386735, 1396985, 5079098, 18572304, 68257002, 251996616, 934132974, 3475508977, 12974084808, 48579833972, 182408398892, 686665503942, 2591019854408, 9798161653404, 37127726839779, 140951832693831, 536051601990885, 2042002431327201, 7790667732104364, 29766035463356140, 113882749878638604, 436266138588374533, 1673287271066008992, 6425195216095942659, 24698616143924376236, 95039705780625664054, 366067562358662092760, 1411303116306563655854, 5445815543889303306791, 21031544550047824427057, 81288347933268354081672, 314426187343112991707084, 1217104378859140429512536, 4714569031629060941175230], 439870841538006088251279\ 7516671977368607377072666854793861551777808658088636144138442674388247738594940\ 4844847329795999712156376170664517571454970577839142324108242786470539420563418\ 9217343868303945885329090107844796117397875424216735629283794819984556983355764\ 7562793955624284398651491987313744015086292113466935096283381030230951391769652\ 0582825755730391812629473437695640913897288656350687492443512757849241369306570\ 0268952264166351816013935834713039978888984490263604198457636262301853468467037\ 7342833377153520307814587489712567385212585251919835898465480022419152648611516\ 036323799839906199] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 3} [P^2*x^9-2*P^2*x^8+P^2*x^7-P^2*x^6-2*P*x^7+P^2*x^5+4*P*x^6+4*P^2*x^4-2*P*x^5-4* P^2*x^3-2*P*x^4+x^5+3*P^2*x^2+3*P*x^3-2*x^4-4*P^2*x-6*P*x^2+x^3+2*P^2+8*P*x+3*x ^2-4*P-4*x+2, ((x^3-x^2+x)*C-x^3+x^2-1)/((x^5-x^4+x^3-x^2+x)*C-x^5+x^4+x^2-1), {-12*n*(n-3)*a(n)+144*(n-1)*(n-4)*a(n-1)-4*(n-2)*(158*n-755)*a(n-2)+12*(n-3)*( 111*n-580)*a(n-3)+(-1733*n^2+15861*n-35668)*a(n-4)+(1864*n^2-17484*n+40784)*a(n -5)+(-1720*n^2+17652*n-44792)*a(n-6)+(1019*n^2-15003*n+56788)*a(n-7)+(-423*n^2+ 13719*n-85092)*a(n-8)+(271*n^2-15843*n+118172)*a(n-9)+(-184*n^2+16080*n-127184) *a(n-10)+(235*n^2-15819*n+125036)*a(n-11)+(-234*n^2+11622*n-93408)*a(n-12)+(-60 *n^2-384*n+11736)*a(n-13)+(270*n^2-6714*n+41664)*a(n-14)+(-322*n^2+7986*n-49232 )*a(n-15)+12*(29*n-336)*(n-14)*a(n-16)-6*(37*n-448)*(n-15)*a(n-17)+28*(2*n-25)* (n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 17, a(9) = 48, a(10) = 144, a(11) = 450, a(12) = 1459, a(13) = 4860, a(14) = 16525, a(15) = 57120, a(16) = 200097, a(17) = 708757, a(18) = 2533973}, [0, 0, 1, 1, 1, 3, 7, 17, 48, 144, 450, 1459, 4860, 16525, 57120, 200097, 708757, 2533973, 9132003, 33137708, 120974618, 443989289, 1637195857, 6062659954, 22536027844, 84059455851, 314525393782, 1180231894343, 4440365433824, 16746319658178, 63297901781976, 239749310109965, 909829406041019 , 3458916724186136, 13171839578186684, 50238023695899012, 191891779252423356, 733972226881949423, 2811042407002164445, 10779229901953878383, 41381986655304470219, 159041791415875713720, 611874946849239431259, 2356365412343833016501, 9083013002660386082295, 35043290280381051414141, 135316006129265685334465, 522932697952745364925608, 2022455094548906662021617, 7827690019162556566748714], 705164791068347474798195911497215808453024865672913\ 8515930532554331220006519163961785452998762196363726997479000072472014954867365\ 1789588735158575071909330052841001713667071975729169273368030931573663565900957\ 9789248349296467344367086993802509316547110022177626254150594602074218422872760\ 6808161635381962561380551409600191320770620778528151070855692576211317569098102\ 6705124067761761331972522222028186099543660192099108716678254209812150738897760\ 6614772927164100323889830916589841770955271282436394901675011099277378202026296\ 8854983999653051758041558658417043000763963326536754421114304075193531] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 4} [P^2*x^6-2*P^2*x^5+4*P^2*x^4+2*P*x^5-4*P^2*x^3-5*P*x^4+4*P^2*x^2+6*P*x^3+x^4-3* P^2*x-8*P*x^2-2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, (C*x^2-x^2+x-1)/(C*x^2+x^3-x^2+x -1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n-1)+3*(n-2)*(101*n-569)*a(n-2)+(-905* n^2+8285*n-16698)*a(n-3)+(1739*n^2-18203*n+44838)*a(n-4)+(-2430*n^2+27930*n-\ 78324)*a(n-5)+(2696*n^2-33098*n+100812)*a(n-6)+(-2429*n^2+31685*n-102942)*a(n-7 )+(1740*n^2-24180*n+83688)*a(n-8)+(-951*n^2+14151*n-52326)*a(n-9)+6*(n-7)*(61*n -546)*a(n-10)+(-72*n^2+1152*n-4296)*a(n-11)+(-2*n^2+92*n-768)*a(n-12)+4*(2*n-23 )*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 16, a(9) = 43, a(10) = 124, a(11) = 373, a(12) = 1171, a(13 ) = 3800}, [0, 0, 1, 1, 1, 3, 7, 16, 43, 124, 373, 1171, 3800, 12644, 42925, 148123, 518026, 1832039, 6540733, 23541706, 85329229, 311188358, 1141036802, 4204019683, 15556011456, 57784733184, 215401696379, 805504622389, 3020993118451 , 11360283123258, 42824655127074, 161801356448016, 612606168153739, 2323949264950298, 8832016002740075, 33622395261599724, 128199337095842264, 489540238584389576, 1871964218916715889, 7167665047397390637, 27478713032860410468, 105468755433872801276, 405258961411179099236, 1558825814369123014520, 6001992175219072384053, 23131542444746171850238, 89228814754933330826962, 344491468301688939615962, 1331089859223765653422622, 5147255806318606932718220], 446550475758969080192920763678314125413560293852484\ 9553479659494250549947902885213263653504945743608004597796170328673196382415677\ 0399201948537838392381379405202948602406417182391222035313492806694094207731139\ 1857214088155301937261331533533022780917012977042370207159578390860150860120639\ 1452138337710309147944768979744843112480954019908279814639036100486162713671421\ 1575328565847881629867384263267778195416688721158897287948955611022330687725769\ 3249902163803466796945132090685147768637599874816934091166980941204678185396695\ 6022237018521565401184415374758995225430906152113666486115482142124590] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 5} [P^2*x^9-P^2*x^7-P^2*x^6-P^2*x^5+2*P*x^6+4*P^2*x^4+P*x^5-P^2*x^3-4*P*x^4+2*P^2* x^2-3*P^2*x-4*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5-x^2)*C-x^ 3-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+8*(n-2)*(46*n-309)*a(n-2)+(-\ 969*n^2+10077*n-21480)*a(n-3)+(1384*n^2-16352*n+42888)*a(n-4)+(-1315*n^2+16067* n-45816)*a(n-5)+(1439*n^2-17359*n+49248)*a(n-6)+(-1533*n^2+21171*n-70488)*a(n-7 )+(740*n^2-12430*n+51864)*a(n-8)+(-211*n^2+4091*n-21624)*a(n-9)+(346*n^2-6608*n +32136)*a(n-10)+(4*n^2+1720*n-14376)*a(n-11)+(-256*n^2+2954*n-5832)*a(n-12)+(66 *n^2-720*n+768)*a(n-13)+(-18*n^2+360*n-1848)*a(n-14)+(42*n^2-858*n+4272)*a(n-15 )-2*(n-12)*(5*n-64)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 12, a(9) = 29, a(10) = 74, a(11) = 199, a(12) = 571, a(13) = 1722, a(14) = 5403, a(15) = 17514, a(16) = 58266, a(17) = 197903}, [0, 0, 1, 1, 1, 3, 6, 12, 29, 74, 199, 571, 1722, 5403, 17514, 58266, 197903, 683554, 2393588, 8477375, 30312348, 109271297, 396671328, 1448770469, 5319750097, 19626401321, 72715433412, 270434590840, 1009226155998, 3778058141312, 14183527021174, 53386570559190, 201428689723650, 761679230689009, 2886113084232418, 10956747796783502, 41669695454037824, 158737041368219064, 605632875501509021, 2314046327662347418, 8853768139984538981, 33919005988163338458, 130102402640187342491, 499603795059816734757, 1920603344554011794214, 7390887642154122368203, 28469497096905751020787, 109765603626521030851290, 423581081312135522432631, 1635959558578764491563809], 135144937511835439319527073094004408786971213470848\ 0545113002696677155794848674839862966407091074569423888873678500298224961322701\ 0955543907176472107298424529023068632864984301103762055092096325408095674950971\ 2631410443644918369297933558834870555049431339678785722521659195654984285382820\ 8807704918816163109215019678544435323556141989298069296433112342904219057205431\ 8216058096449770001745150338501892032562469689926736232277748327142028392482918\ 9591982879501934307162984824809575817145506427623982812795016865011729942328594\ 6590902525571456123566246820988410038079336014282429267766100687230643] ---------------------------- (A,B)= , {1, 2, 4, 5}, {2, 3} [P^2*x^9-4*P^2*x^7-2*P*x^8-P^2*x^6+2*P*x^7+7*P^2*x^5+6*P*x^6+x^7+5*P^2*x^4-6*P* x^5-2*x^6-5*P^2*x^3-10*P*x^4-x^5-5*P^2*x^2+5*P*x^3+5*x^4+P^2*x+10*P*x^2+2*P^2-2 *P*x-5*x^2-4*P+x+2, ((x^4-x^3+x)*C-x^4+x^3+x^2-x-1)/((x^5-x^3+x)*C-x^5+2*x^3+x^ 2-x-1), {-12*n*(n-3)*a(n)+2*(n-1)*(47*n-208)*a(n-1)-2*(n-2)*(49*n-370)*a(n-2)-3 *(n-3)*(163*n-796)*a(n-3)+(315*n^2-4065*n+11340)*a(n-4)+(1215*n^2-10845*n+23220 )*a(n-5)+(-265*n^2+5091*n-19676)*a(n-6)+(-1422*n^2+11544*n-11616)*a(n-7)+(-102* n^2-1170*n+7560)*a(n-8)+(372*n^2+7014*n-88620)*a(n-9)+(12*n^2+1920*n-7188)*a(n-\ 10)+(995*n^2-32925*n+234280)*a(n-11)+(560*n^2-12426*n+61732)*a(n-12)+(-1395*n^2 +40257*n-282984)*a(n-13)+(-753*n^2+17751*n-102048)*a(n-14)+(927*n^2-26883*n+ 193764)*a(n-15)+(438*n^2-11610*n+76104)*a(n-16)+(-373*n^2+11211*n-83384)*a(n-17 )+(-94*n^2+2706*n-19088)*a(n-18)+36*(2*n-27)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 3, a(8) = 10, a(9) = 26, a( 10) = 79, a(11) = 251, a(12) = 819, a(13) = 2752, a(14) = 9419, a(15) = 32739, a(16) = 115228, a(17) = 409763, a(18) = 1469975, a(19) = 5313073}, [0, 0, 1, 0, 1, 2, 3, 10, 26, 79, 251, 819, 2752, 9419, 32739, 115228, 409763, 1469975, 5313073, 19329075, 70722570, 260076043, 960725719, 3563313584, 13264561808, 49541465873, 185589966368, 697170162329, 2625574548508, 9911177699499, 37494307208920, 142127032096320, 539757368867288, 2053413592440079, 7824579692697864, 29861236282935146, 114123813166915793, 436746709001546051, 1673532796931996551, 6420357454633952847, 24659046393435369700, 94811143605954898599, 364908935880701462856, 1405818978461512379363, 5420926467428354144556, 20921737169116265984071, 80813575155138098163394, 312404089486745993905911, 1208591347089125714905609, 4679055656105739604708038] , 42667814330106235402957752267924755269942158178887725530210135812850555768122\ 3902000085915123835133699398099732780474546097674032368476495220412115549596398\ 9744052573262593536624470005860393360704365681881550299363569818415822806474511\ 8661504152835258518660635828609714381336025441979797467934942098520361976798012\ 8485645291382277439274733884866230942801699794554852644471468836396120719456958\ 6513017354270836591443053914471200254538992772542896817936910811625435044511060\ 8735502830168088941126279871495485727744348046305587545129765388411702563262969\ 90838914834703199042642161984732894729847443] ---------------------------- (A,B)= , {1, 2, 4, 5}, {2, 4} [P^2*x^6+P^2*x^4-P^2*x^3-P*x^4-P^2*x+x^3+P^2+2*P*x-2*P-x+1, (C*x^2-1)/(C*x^2+x^ 3-1), {4*n*(n-4)*a(n)-(n-1)*(41*n-210)*a(n-1)+9*(n-2)*(15*n-91)*a(n-2)+(-158*n^ 2+1514*n-3108)*a(n-3)+(97*n^2-895*n+1890)*a(n-4)+(-136*n^2+1108*n-1728)*a(n-5)+ (163*n^2-1615*n+3618)*a(n-6)+(-97*n^2+961*n-2310)*a(n-7)+(99*n^2-873*n+1518)*a( n-8)+(-61*n^2+745*n-2190)*a(n-9)+2*(n-10)*(2*n-21)*a(n-10)-(n-10)*(n-9)*a(n-11) +2*(n-10)*(2*n-21)*a(n-12) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 3, a(8) = 9, a(9) = 23, a(10) = 66, a(11) = 203, a(12) = 644}, [0, 0, 1, 0, 1, 2, 3, 9, 23, 66, 203, 644, 2114, 7104, 24318, 84508, 297307, 1056777, 3789293, 13689833, 49782655, 182075453, 669317386, 2471616621, 9164240546, 34104059666, 127339139886, 476909302008, 1791083951066, 6743793816117, 25451552809845, 96265174315241, 364838496790766, 1385311563133854, 5269320602780488, 20075786170666805, 76604872561248246, 292728746838822749, 1120114416059649064, 4291543685794397913, 16462196625329645420, 63220310833001547294, 243048998017181749297, 935352293939853974445, 3603117336007958336075, 13892573071144242274185, 53612844082346028813153, 207070868018666483288189, 800417394348782278565042, 3096320167143292284383285], 272755762461220938735364978441246217143520150999084\ 8852983604849520683795247706806444446972285117827281115968981100659341559746482\ 5553639580515338591103221931882186104721436713152349927418566547138013317023651\ 0135451169850572927981469196192739468022609387123551719270658671969641104365257\ 1043214830846805172166302558260713449673960070778713459839869378088511124971010\ 0965338320676488565958016643154786212624224229907290163138675187932702655366154\ 3819692031307923446112161676664726609691989597092523810028338919187853317414755\ 8801667220040420205386119406988215141359827369970106911657716382175737] ---------------------------- (A,B)= , {1, 2, 4, 5}, {2, 5} [P^2*x^9+2*P^2*x^8-2*P^2*x^7-2*P*x^8-5*P^2*x^6+P^2*x^5+8*P*x^6+x^7+6*P^2*x^4+P* x^5-2*x^6+P^2*x^3-10*P*x^4-2*x^5-3*P^2*x^2-4*P*x^3+4*x^4-P^2*x+6*P*x^2+3*x^3+P^ 2+2*P*x-3*x^2-2*P-x+1, ((x^4-x^3-x^2)*C-x^2+1)/((x^5+x^4-x^3-x^2)*C-x^3-x^2+1), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-18*(n-2)*(8*n-59)*a(n-2)+(-40*n^2+ 146*n-108)*a(n-3)+(564*n^2-6750*n+18300)*a(n-4)+(-41*n^2+2119*n-10596)*a(n-5)+( -1309*n^2+17759*n-58668)*a(n-6)+(49*n^2-4139*n+27216)*a(n-7)+(1935*n^2-29241*n+ 108432)*a(n-8)+(180*n^2+840*n-18876)*a(n-9)+(-1758*n^2+28560*n-110904)*a(n-10)+ (-341*n^2+3721*n-5784)*a(n-11)+(785*n^2-11749*n+31548)*a(n-12)+(128*n^2-418*n-\ 11400)*a(n-13)+(27*n^2-4023*n+49128)*a(n-14)+(139*n^2-5057*n+42756)*a(n-15)+(-\ 186*n^2+6216*n-51696)*a(n-16)-51*(3*n-47)*(n-16)*a(n-17)+(58*n^2-1994*n+17016)* a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 2, a(8) = 7, a(9) = 14, a(10) = 36, a(11) = 102, a( 12) = 295, a(13) = 915, a(14) = 2932, a(15) = 9674, a(16) = 32671, a(17) = 112309, a(18) = 391746, a(19) = 1382851}, [0, 0, 1, 0, 1, 2, 2, 7, 14, 36, 102, 295, 915, 2932, 9674, 32671, 112309, 391746, 1382851, 4930318, 17727554, 64206466, 234019355, 857693472, 3158953077, 11685689699, 43398140840, 161743884264, 604758943082, 2267833876671, 8527216595519, 32142247856528, 121432503623634, 459737205515476, 1743952352243992, 6627519064884554, 25229338174690140, 96194777403208772, 367320076702421837, 1404578785468053534, 5377990413883533257, 20617391669966038910, 79132927300245804065, 304062615466639756937, 1169568759901521939431, 4503208296031771751940, 17355223871145700804923, 66946867752673812467024, 258466073960516649375127, 998694720562476801389983], 8394151541346416542284948441605603584608252909250713\ 2935573222045374318854002865247102512781879924519629975670400114855040060724017\ 4350798810372626710258149529775847914474769270242460139190666376005879103067987\ 6311411757127600619238160070286279475393671733033355074294929270760320346161198\ 0975749085863196556461939093190711044591625200559249153881852883190476353839616\ 4080586284950697032987033643506456883656143299441912877443037423896468331433684\ 1443226397229119054848703937909667041391182507704202740879077311797834863672512\ 49708756604835225365443662025520042599207102616936033246281087390656] ---------------------------- (A,B)= , {1, 2, 4, 5}, {3, 4} [P^2*x^10+2*P^2*x^9+P^2*x^8-2*P*x^9-P^2*x^7-4*P*x^8-2*P^2*x^6+x^8+3*P^2*x^5+4*P *x^6+2*x^7+4*P^2*x^4-x^6+2*P^2*x^3-7*P*x^4-3*x^5-2*P^2*x^2-6*P*x^3+3*x^4-2*P^2* x+4*P*x^2+4*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, ((x^4+x^3)*C-x^4-x^3+x^2+x-1)/((x^5+ x^4+x^3)*C-x^5-x^4+x^2+x-1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)-192*(n-2)*( n-6)*a(n-2)+(225*n^2-2373*n+5082)*a(n-3)+(268*n^2-2572*n+6144)*a(n-4)+(-523*n^2 +7117*n-23046)*a(n-5)+(-328*n^2+3466*n-8172)*a(n-6)+(298*n^2-7054*n+33972)*a(n-\ 7)+(693*n^2-7413*n+14706)*a(n-8)+(-19*n^2+2209*n-17118)*a(n-9)+(-340*n^2+1498*n +22248)*a(n-10)+(-137*n^2+683*n+3546)*a(n-11)+(-213*n^2+10719*n-102930)*a(n-12) +(-132*n^2+7896*n-72396)*a(n-13)+(275*n^2-9779*n+86058)*a(n-14)+(559*n^2-19945* n+170022)*a(n-15)+(107*n^2-4211*n+39138)*a(n-16)+(-325*n^2+10567*n-85578)*a(n-\ 17)-4*(n-15)*(37*n-580)*a(n-18)+(165*n^2-5655*n+47970)*a(n-19)+2*(109*n-1674)*( n-19)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4 ) = 1, a(5) = 2, a(6) = 5, a(7) = 11, a(8) = 27, a(9) = 70, a(10) = 190, a(11) = 543, a(12) = 1623, a(13) = 5043, a(14) = 16193, a(15) = 53424, a(16) = 180209 , a(17) = 618992, a(18) = 2157985, a(19) = 7616417, a(20) = 27159087, a(21) = 97690322}, [0, 0, 1, 1, 2, 5, 11, 27, 70, 190, 543, 1623, 5043, 16193, 53424, 180209, 618992, 2157985, 7616417, 27159087, 97690322, 354007798, 1291104483, 4735253221, 17452939668, 64609700087, 240120883734, 895561731635, 3350809051404 , 12573833644106, 47308746686861, 178433484767245, 674511462886801, 2555093850369462, 9697584058001445, 36872366814205984, 140432241888494613, 535690274614245965, 2046440372931200156, 7828599161142216659, 29987022411569462988, 115004468667485736751, 441569068874634697081, 1697297674390051683181, 6530822400802090632164, 25153891873938272226879, 96972517821924303268323, 374178294680587132636363, 1445029230169074472899906, 5585033190739566288169661], 475488528762864887405345604134394627345882841200940\ 5967120839339495432902357020536964905234102527475976762492457853615528511868847\ 2910911667481167457894803277614991184435802139293373968554285369301938037927624\ 0966287086515213946397483333151766981404873383570107375542710011722917217030472\ 4131901365719877297169085237898345359004791354748663951203323088409806471149680\ 3052058388015489282978817554512390928403315766925082066234418826260223754330798\ 9129253610256079277222028981456860296322182351374036763607680257507538546706942\ 4339130940427663573744534526330038571456447082921710121034772633742990] ---------------------------- (A,B)= , {1, 2, 4, 5}, {3, 5} [P^2*x^11-2*P*x^10-P^2*x^8+3*P^2*x^7+2*P*x^8+x^9+2*P^2*x^6-2*P*x^7+P^2*x^5-4*P* x^6-2*x^7+P^2*x^4-3*P*x^5+3*x^6+P^2*x^3+2*P*x^4+2*x^5+P^2*x^2-4*P*x^3-3*x^4-3*P ^2*x-2*P*x^2+3*x^3+P^2+6*P*x+x^2-2*P-3*x+1, ((x^5-x^3+x^2)*C+x^2+x-1)/((x^6-x^3 +x^2)*C+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-90*(n-2)*(4*n-\ 27)*a(n-2)+(866*n^2-9124*n+19548)*a(n-3)+(-877*n^2+10775*n-28692)*a(n-4)+(61*n^ 2-563*n-348)*a(n-5)+(369*n^2-6813*n+30624)*a(n-6)+(-80*n^2+2572*n-16608)*a(n-7) +(4*n^2-662*n+6828)*a(n-8)+(-210*n^2+486*n+8760)*a(n-9)+(612*n^2-3318*n-23412)* a(n-10)+(-361*n^2+3605*n+792)*a(n-11)+(35*n^2-3661*n+49092)*a(n-12)+(-304*n^2+ 9170*n-87636)*a(n-13)+(186*n^2-2334*n+10080)*a(n-14)+(91*n^2-3257*n+28356)*a(n-\ 15)+(13*n^2-1721*n+20784)*a(n-16)+(-126*n^2+4266*n-34584)*a(n-17)+(43*n^2-2069* n+22956)*a(n-18)+(253*n^2-9905*n+95736)*a(n-19)+(-26*n^2+1426*n-16848)*a(n-20)+ (-35*n^2+1165*n-9660)*a(n-21)-2*(19*n-308)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a( n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 10, a(8) = 23, a(9) = 54, a(10) = 132, a(11) = 339, a(12) = 915, a(13) = 2593, a(14) = 7697, a(15) = 23806, a(16) = 76265, a(17) = 251545, a(18) = 849561, a( 19) = 2924655, a(20) = 10224916, a(21) = 36199325, a(22) = 129488378, a(23) = 467202473}, [0, 0, 1, 1, 2, 5, 10, 23, 54, 132, 339, 915, 2593, 7697, 23806, 76265, 251545, 849561, 2924655, 10224916, 36199325, 129488378, 467202473, 1698028760, 6210080233, 22835044141, 84366374591, 313013730446, 1165703756947, 4355919087538, 16326727488752, 61365894089340, 231238711830591, 873393084076559 , 3305946436025423, 12538599246887627, 47643911310340565, 181349180911317704, 691391261676695152, 2639899887161932403, 10094057013916319953, 38647547215103863811, 148157089586447660657, 568638913433272271985, 2184923458779301760111, 8404183881040778614766, 32358674264719219792164, 124709564353726197932570, 481063407635306171108886, 1857289203600977247957805], 1514489167641854878261445956268855747502510731095346276907543868849314632233534\ 3868564790764490010555298734617970449230420319622496391696081809894479191902134\ 2335417321404693992342933147070912136512267516455816900603702956124781092097588\ 2893922792112373600106935294882649340563919612489179527456732959626565690343372\ 6241082001011354354277676048123706338077328204683953278414258845476691866386999\ 2011921852926285046884957295519958758166967195763102488368432475089768330462679\ 2327443223521569323447201978203674249974469391333421074370019352035769016648797\ 034938536941740056424567539864816784930339] ---------------------------- (A,B)= , {1, 2, 4, 5}, {4, 5} [P^2*x^6+4*P^2*x^5+4*P^2*x^4-5*P*x^5+P^2*x^3-6*P*x^4+x^5-2*P^2*x^2-4*P*x^3+2*x^ 4-2*P^2*x+4*P*x^2+3*x^3+P^2+4*P*x-2*x^2-2*P-2*x+1, (C*x^3+x^2+x-1)/(C*x^3+x^3+x ^2+x-1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+240*(n-2)*(n-7)*a(n-2)+(-283*n^2 +3227*n-7104)*a(n-3)+(-299*n^2+3379*n-9072)*a(n-4)+(486*n^2-7638*n+27240)*a(n-5 )+(574*n^2-7556*n+23412)*a(n-6)+(-161*n^2+5143*n-28560)*a(n-7)+(-906*n^2+14778* n-58944)*a(n-8)+(-441*n^2+6099*n-19356)*a(n-9)+(343*n^2-7541*n+40608)*a(n-10)+( 398*n^2-8590*n+46392)*a(n-11)+(147*n^2-3393*n+19620)*a(n-12)+10*(n-12)*(2*n-25) *a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 10, a(8) = 22, a(9) = 51, a(10) = 121, a(11) = 302, a(12) = 794, a(13) = 2198 }, [0, 0, 1, 1, 2, 5, 10, 22, 51, 121, 302, 794, 2198, 6402, 19525, 61947, 203058, 683303, 2347769, 8201236, 29030007, 103864996, 374906214, 1363271790, 4988481461, 18352939460, 67841722225, 251826828537, 938261856496, 3507510839691 , 13151897837088, 49450881426706, 186403402141544, 704269703436487, 2666561649817112, 10116327178563091, 38449574960440740, 146387164201499918, 558223552742405395, 2131880076060143351, 8153175418105066400, 31222222537622141876, 119712827717279953573, 459543986199294130996, 1766018331496098583253, 6793905378051028607290, 26162328648095144935914, 100842630154496773982243, 389047529333719310079155, 1502218871096945913381754], 1231034413864321248989031304099201072130677100922923679449881368618004110719987\ 6272921417394299954765626162790206267415678608107898288283709441844389223634550\ 1076378523554311609086666634946664656786876655981361743528546820155277411796682\ 2108353507186018771670671052829168780956476874114174079253294175689369836134810\ 1306057944499176570795358180241524204226500044060715909251416397311021557138895\ 6561509248004682160085429120842750417128770250707421516595305522293415781493826\ 4599403863338054213024348493768867607169513025174415770874274698256016144275159\ 739583655251020078979991100216914240540089] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 2, 3} [P^2*x^9-2*P^2*x^8-P^2*x^7+3*P^2*x^6+2*P^2*x^5-2*P*x^5-5*P^2*x^3+5*P*x^3+P^2*x+ 2*P^2-2*P*x-4*P+x+2, (C*x-x-1)/((x^5-x^4+x)*C-x^5+x^4+x^3-x-1), {-12*n*(n-3)*a( n)+2*(n-1)*(47*n-208)*a(n-1)-6*(n-2)*(23*n-140)*a(n-2)-144*(n-3)*(n-7)*a(n-3)+( -300*n^2+1890*n-2640)*a(n-4)+(497*n^2-4071*n+7480)*a(n-5)+12*(23*n-60)*(n-6)*a( n-6)+(27*n^2-603*n+4776)*a(n-7)+(-486*n^2+4428*n-9696)*a(n-8)+(-72*n^2-144*n+ 3888)*a(n-9)+(187*n^2+129*n-9784)*a(n-10)+(29*n^2-759*n+3160)*a(n-11)+(-46*n^2+ 402*n-176)*a(n-12)+(37*n^2-1095*n+7160)*a(n-13)+(26*n^2-390*n+1312)*a(n-14)+(-\ 62*n^2+1362*n-7456)*a(n-15)+12*(2*n-21)*(n-12)*a(n-16) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 6, a(9) = 21, a(10) = 61, a(11) = 198, a(12) = 663, a(13) = 2244, a(14) = 7744, a(15) = 27090, a(16) = 95797}, [0, 0, 1, 0, 0, 2, 2, 6, 21, 61, 198, 663, 2244, 7744, 27090, 95797, 342000, 1230856, 4460876, 16266377, 59635699, 219688162, 812780717, 3018705191, 11250953158, 42067012063, 157745900697, 593108047037, 2235510177690, 8445103448700, 31970262698676, 121265011342687, 460802409484602, 1754007845288128, 6687111523029057, 25532476773034883, 97623787535312254, 373758518667992458, 1432737848809372248, 5498607295157595658, 21126208841170933352, 81254616254648510421, 312830278121573575725, 1205541529368354415474, 4649949094511504272337, 17950983299765801478380, 69356153008801310393244, 268177489168664244063094, 1037731857970476619902935, 4018457654565682474990862], 369772404078992287455180931168311274362969029216507\ 2254459585729105670181895680886984302761577684026479408381442653205474994395899\ 8207347738326449761999017675835287734956242326783601167965922684933702363028004\ 3677418273179389390246641150989410237420748926871928642806246667761076410151376\ 6533158546085200333579180678603134791333674692357373357650724618071099027069542\ 8429239910356627287845572968555680402250117417855169774075254458865646625584183\ 3577350912768082428068066353037887223459583443400589030523521447677616090719966\ 2652398928890406292859247986917650165669732065933067572719325832344088] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 2, 4} [P^2*x^6-2*P^2*x^5+2*P^2*x^4+2*P*x^5-2*P^2*x^3-3*P*x^4+2*P^2*x^2+2*P*x^3+x^4-P^ 2*x-4*P*x^2+P^2+2*P*x+2*x^2-2*P-x+1, (C*x^2-x^2-1)/(C*x^2+x^3-x^2-1), {4*n*(n-4 )*a(n)-(n-1)*(41*n-210)*a(n-1)+3*(n-2)*(49*n-289)*a(n-2)+(-277*n^2+2497*n-4986) *a(n-3)+(469*n^2-4705*n+11178)*a(n-4)+(-588*n^2+6264*n-16224)*a(n-5)+(680*n^2-\ 7682*n+21492)*a(n-6)+(-657*n^2+7701*n-22182)*a(n-7)+(524*n^2-6692*n+21048)*a(n-\ 8)+(-321*n^2+4509*n-15378)*a(n-9)+6*(23*n-142)*(n-9)*a(n-10)+(-22*n^2+322*n-996 )*a(n-11)+(-10*n^2+256*n-1608)*a(n-12)+4*(2*n-23)*(n-12)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 5, a(9) = 18 , a(10) = 50, a(11) = 156, a(12) = 513, a(13) = 1703}, [0, 0, 1, 0, 0, 2, 2, 5, 18, 50, 156, 513, 1703, 5782, 19968, 69832, 246936, 881437, 3171594, 11491927, 41895107, 153560397, 565565487, 2091975994, 7768108280, 28946731779, 108211125560, 405707110801, 1525164640504, 5747669848482, 21709810965386, 82174412763173, 311650956094759, 1184113251623796, 4506697220178616, 17179731794903395, 65587965837213395, 250750928096185700, 959921683268092065, 3679351071256375363, 14119484781468217509, 54243924673800545272, 208613590564202536255, 803100472805440928823, 3094647994197437279320, 11935664590496937597315, 46074140643055116656086, 178002368966385190350388, 688233827820917330083637, 2663010091586100814383940], 2369198123140560461040254\ 0213029537982717421464550873509595898653896664503775938039056451359399396929674\ 7662729401039861753017021654294631211654335973172856006865731989983173156643746\ 2936806251238677248965125000842738137251488165456611626120347426988627550790892\ 9948502621904793224207804291343228420896680095426327099641414721085505225810961\ 6149136356698178143256493019734040879716008545377230827031159932338782914339734\ 5868606077087396622412649731872202952118554147036894491073967068012933496105497\ 6679919227427283149676853036424615245750952578084611657037699238766538139810515\ 08262214241314213] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 2, 5} [P^2*x^9-3*P^2*x^7-P^2*x^6+2*P*x^7+2*P^2*x^5+2*P*x^6+4*P^2*x^4-3*P*x^5-P^2*x^3-\ 6*P*x^4+x^5-P^2*x^2+2*x^4-P^2*x+2*P*x^2+x^3+P^2+2*P*x-x^2-2*P-x+1, (1+(-x^3-x^2 )*C)/((x^5-x^3-x^2)*C-x^3+1), {5*n*(n-5)*a(n)-3*(n-1)*(17*n-104)*a(n-1)+2*(n-2) *(80*n-573)*a(n-2)+(-124*n^2+1394*n-3036)*a(n-3)+(-60*n^2+978*n-3276)*a(n-4)+(-\ 224*n^2+1666*n-1692)*a(n-5)+(578*n^2-7366*n+22464)*a(n-6)+(106*n^2-446*n-2232)* a(n-7)+(-339*n^2+5805*n-23340)*a(n-8)+(-580*n^2+7634*n-24156)*a(n-9)+(339*n^2-\ 6231*n+27696)*a(n-10)+(462*n^2-7416*n+30228)*a(n-11)+(-58*n^2+1346*n-9120)*a(n-\ 12)+(-187*n^2+2939*n-8448)*a(n-13)+(-468*n+5976)*a(n-14)+(64*n^2-1292*n+6192)*a (n-15)-16*(4*n-57)*(n-17)*a(n-16)-6*(n-13)*(n-16)*a(n-17)+12*(2*n-29)*(n-16)*a( n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 0, a(6) = 2, a(7) = 1 , a(8) = 3, a(9) = 11, a(10) = 24, a(11) = 72, a(12) = 226, a(13) = 708, a(14) = 2324, a(15) = 7802, a(16) = 26638, a(17) = 92407, a(18) = 324578}, [0, 0, 1, 0, 0, 2, 1, 3, 11, 24, 72, 226, 708, 2324, 7802, 26638, 92407, 324578, 1152029, 4125674, 14888770, 54090353, 197662312, 726067378, 2679375930, 9928576442, 36928398030, 137816924540, 515919681883, 1936800259693, 7289716010275, 27502433571703, 103989176241041, 393996159913541, 1495616963696228, 5687447266543064, 21663697157136986, 82645718934208875, 315747093272216498, 1207958202492354800, 4627256929454312511, 17746920650009618536, 68142992338417597106, 261933846901816300962, 1007882184300225657409, 3881977405143156432439, 14965814703147404067370, 57747395776556230057969, 223013446455013561084832, 861944838105528426033406], 73212158276198408486211968\ 4398953497970618991886806719977363920584829674993154838288820889717618480131878\ 2982020816860495671013489216944363933309468819288354570565216085056560068277217\ 1013286837062874190018312537205353319420918627912956334909052727177850690504753\ 3256370397618245853005972298967694942504043257724865538284936251320143617716858\ 7573440061241933178009664772041971008028800836957154978639352979009109453704619\ 1209558542247041493224083030236686174338873449638861843484702569848591184263009\ 3155932047519533451384651561760628563668942674746072950972713857501755860437832\ 282413169156210] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 3, 4} [P^2*x^10+P^2*x^7-2*P*x^8-2*P^2*x^6+4*P^2*x^5+2*P*x^6-P^2*x^4-4*P*x^5+x^6+P^2*x ^3+3*P*x^4-4*P*x^3-2*x^4-2*P^2*x+3*x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3-x^3+x-1)/((x ^5+x^3)*C-x^5+x-1), {-4*n*(n-4)*a(n)+48*(n-1)*(n-5)*a(n-1)-12*(n-2)*(17*n-100)* a(n-2)+(354*n^2-3438*n+7116)*a(n-3)+(-156*n^2+1944*n-5136)*a(n-4)+(-269*n^2+ 2891*n-8250)*a(n-5)+(498*n^2-5082*n+13332)*a(n-6)+(-636*n^2+5052*n-5424)*a(n-7) +(579*n^2-4377*n+366)*a(n-8)+(-207*n^2+1437*n-198)*a(n-9)+(18*n^2-1590*n+18588) *a(n-10)+(-12*n^2+2796*n-29208)*a(n-11)+(-59*n^2-619*n+8586)*a(n-12)+(54*n^2-\ 414*n+2124)*a(n-13)+(-86*n^2+3374*n-29268)*a(n-14)+(215*n^2-7709*n+64758)*a(n-\ 15)+(-144*n^2+4596*n-36264)*a(n-16)+(86*n^2-2534*n+18852)*a(n-17)-4*(n-13)*(5*n -66)*a(n-18)-6*(5*n-66)*(n-17)*a(n-19)+28*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 0 , a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 7, a(8) = 16, a(9) = 42, a(10) = 118, a(11) = 348, a(12) = 1076, a(13) = 3452, a(14) = 11392, a(15) = 38447, a(16) = 132103, a(17) = 460545, a(18) = 1624915, a(19) = 5790832, a(20 ) = 20813493}, [0, 0, 1, 1, 1, 3, 7, 16, 42, 118, 348, 1076, 3452, 11392, 38447 , 132103, 460545, 1624915, 5790832, 20813493, 75357028, 274575432, 1006052778, 3704439776, 13700445898, 50869957409, 189555229750, 708622024837, 2656892665675 , 9988626690150, 37645680922721, 142206186095096, 538321336266042, 2041824248668329, 7758711450356602, 29532630556835499, 112592111513862067, 429896238962457437, 1643727083567264738, 6293180673817758228, 24124163036791154736, 92586095451021015567, 355732128414083031889, 1368228896403061793186, 5267799979189836516886, 20300788966540855948745, 78305009248481343722342, 302301616237231220673089, 1168014681928789445613088, 4516446230219845353435010], 391283256312437311996325124595845510552022541037122\ 9613755459454686415644499238071763358704989881089760223864735838935656988859026\ 8014716388443990460190376892348786175759931147973165208571386215429904412136479\ 0398649722186961065396910320357653910657731428040747011532758055133567636775345\ 7235582244695079724125760599958981677951922101533256033525771238977828670287815\ 3645050865038556002623639463512640346795224536371229056630111538763167994707352\ 2610374618736647422715942514324482039065796673774621988987549890710867272303046\ 7332485401175414479805382662026193609815695177479083024989504912296451] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 3, 5} [P^2*x^11-2*P^2*x^10+3*P^2*x^9-3*P^2*x^8-2*P*x^9+4*P^2*x^7+4*P*x^8-P^2*x^6-6*P* x^7+4*P*x^6+x^7+3*P^2*x^4-3*P*x^5-2*x^6-3*P^2*x^3-2*P*x^4+3*x^5+3*P^2*x^2+4*P*x ^3-x^4-3*P^2*x-6*P*x^2-x^3+P^2+6*P*x+3*x^2-2*P-3*x+1, ((x^4-x^3+x^2)*C+x-1)/((x ^6-x^5+x^4-x^3+x^2)*C+x^3+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)-2*(n -2)*(188*n-1257)*a(n-2)+(1072*n^2-11030*n+23412)*a(n-3)+(-1873*n^2+21827*n-\ 56964)*a(n-4)+(2358*n^2-29844*n+88620)*a(n-5)+(-2394*n^2+32454*n-105336)*a(n-6) +(1780*n^2-27170*n+99852)*a(n-7)+(-606*n^2+14742*n-77208)*a(n-8)+(-602*n^2-3056 *n+72852)*a(n-9)+(1417*n^2-3449*n-96984)*a(n-10)+(-1558*n^2+2552*n+137076)*a(n-\ 11)+(1294*n^2+1156*n-161412)*a(n-12)+(-920*n^2-1982*n+137436)*a(n-13)+(637*n^2-\ 1907*n-65892)*a(n-14)+(-680*n^2+13270*n-61524)*a(n-15)+(936*n^2-27024*n+198072) *a(n-16)+(-1083*n^2+34161*n-269820)*a(n-17)+(1048*n^2-34136*n+278016)*a(n-18)+( -802*n^2+26438*n-217584)*a(n-19)+4*(127*n-2024)*(n-18)*a(n-20)-6*(37*n-596)*(n-\ 19)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 12, a(9) = 28, a(10) = 70, a(11) = 185, a(12) = 524, a(13) = 1568, a(14) = 4902, a(15) = 15871, a(16) = 52816, a( 17) = 179585, a(18) = 621154, a(19) = 2178303, a(20) = 7725953, a(21) = 27662197, a(22) = 99838046}, [0, 0, 1, 1, 1, 3, 6, 12, 28, 70, 185, 524, 1568, 4902, 15871, 52816, 179585, 621154, 2178303, 7725953, 27662197, 99838046, 362819127, 1326412560, 4874671870, 17998268802, 66729574301, 248328152998, 927253151664, 3472977997021, 13044322236928, 49119723163387, 185402935308683, 701334691558552, 2658352245567701, 10095228683547829, 38404365268041542, 146337536828040225, 558465518659704729, 2134329365254150990, 8167961028152882310, 31298172130145757442, 120073245359727038195, 461176225435964360481, 1773187603415566994462, 6824728194814460709102, 26292783047077775051915, 101388236792898900495515, 391308414262073740707040, 1511518800627826040181402], 125514038015415917738032460262929634410144041945503\ 1406453125545733512890912970036863421996692163248948705307731430255777175145206\ 5995623245916964518352190940410583962065988289320036222035093726837998476641770\ 4239959493989580063022567378501384064846499446266387829956545180983979175659416\ 7201590627932083204195873741722120973397081194815390362115947397567242374903416\ 3676133141884275290595135196221873475053429700260857335287455742228506136551966\ 4013894745724425739870553691247863255402740956525608119550709849148568863676913\ 5210607684321083978191122797579234295672070299136868754124061872948600] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 4, 5} [P^2*x^6+2*P^2*x^5+2*P^2*x^4-3*P*x^5-P^2*x^3-2*P*x^4+x^5-2*P^2*x+x^3+P^2+4*P*x-\ 2*P-2*x+1, (C*x^3+x-1)/(C*x^3+x^3+x-1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+4 *(n-2)*(64*n-441)*a(n-2)+(-461*n^2+4897*n-10512)*a(n-3)+(349*n^2-4037*n+10224)* a(n-4)+(-258*n^2+2454*n-4608)*a(n-5)+(402*n^2-4992*n+14028)*a(n-6)+(-57*n^2+ 1515*n-7536)*a(n-7)+(-144*n^2+2424*n-9504)*a(n-8)+(-183*n^2+2601*n-8988)*a(n-9) +(n-8)*(11*n-141)*a(n-10)+56*(n-12)*(n-11)*a(n-11)+(45*n^2-1035*n+5964)*a(n-12) +6*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 3, a(7) = 6, a(8) = 11, a(9) = 25, a(10) = 61, a(11) = 156, a(12) = 432, a(13) = 1276}, [0, 0, 1, 1, 1, 3, 6, 11, 25, 61, 156, 432, 1276, 3955, 12745, 42325, 143819, 497501, 1745551, 6195266, 22197845, 80173946, 291558025, 1066573460, 3922052283, 14488844163, 53744867019, 200097913045, 747475474392, 2800711596775, 10523078033400, 39638810209053, 149662991288992, 566300540306365 , 2147087052738409, 8155699110776433, 31033208120056650, 118276002296500140, 451467395938641283, 1725740169279733931, 6605516934248864689, 25315525530352934140, 97137075550017005079, 373140839688556325679, 1434908595034445547365, 5523513482796916877040, 21282575677825299470652, 82078618506581988852253, 316820993756050225491079, 1223934697787571162366361], 1021152455613489427451922163334309676148196032145596964548110628043716734289506\ 5863671394100876360243277753805491228863342383836017079966946869327866711944091\ 0361852473350632669425817469865894148180073668475535509078374138366165503351075\ 1973358252660604838282799544274367557710909984563629614294812865018834333531931\ 1391685220437709586621299349089865911756709631778413688649612965022661214883249\ 6502335733255604769287814849912071118551841353622362048724804506847395311017239\ 8868180196247355221731164906694305185725653050854967837993582728819780198317575\ 824991500119540902537143019146094848590613] ---------------------------- (A,B)= , {1, 2, 4, 5}, {2, 3, 4} [P^2*x^10+2*P^2*x^9-P^2*x^8-2*P*x^9-3*P^2*x^7-2*P*x^8+P^2*x^6+4*P*x^7+x^8+5*P^2 *x^5+2*P*x^6+2*P^2*x^4-6*P*x^5-2*x^6-3*P^2*x^3-5*P*x^4+x^5-2*P^2*x^2+4*P*x^3+3* x^4+4*P*x^2-x^3+P^2-2*x^2-2*P+1, (C*x^4-x^4+x^2-1)/((x^5+x^4)*C-x^5-x^4+x^3+x^2 -1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-60*(n-2)*(n-7)*a(n-2)+(-90*n^2+ 798*n-1596)*a(n-3)+(86*n^2-1322*n+4044)*a(n-4)+(376*n^2-3892*n+9720)*a(n-5)+(-\ 28*n^2+1372*n-7200)*a(n-6)+(-622*n^2+7222*n-19524)*a(n-7)+(-280*n^2+2224*n-1608 )*a(n-8)+(491*n^2-5177*n+5646)*a(n-9)+(368*n^2-3344*n+2904)*a(n-10)+(-118*n^2-\ 2030*n+36804)*a(n-11)+(83*n^2-7253*n+67470)*a(n-12)+(-106*n^2+6106*n-62772)*a(n -13)+(-565*n^2+20023*n-165138)*a(n-14)+(n^2-1351*n+21066)*a(n-15)+(693*n^2-\ 22671*n+184386)*a(n-16)+(203*n^2-6089*n+45726)*a(n-17)+(-420*n^2+13776*n-112392 )*a(n-18)+(-141*n^2+4551*n-36450)*a(n-19)+(162*n^2-5670*n+48996)*a(n-20)+36*(2* n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6 ) = 2, a(7) = 3, a(8) = 9, a(9) = 22, a(10) = 62, a(11) = 187, a(12) = 585, a( 13) = 1904, a(14) = 6359, a(15) = 21678, a(16) = 75116, a(17) = 263712, a(18) = 935913, a(19) = 3351953, a(20) = 12098687, a(21) = 43964257}, [0, 0, 1, 0, 1, 2 , 3, 9, 22, 62, 187, 585, 1904, 6359, 21678, 75116, 263712, 935913, 3351953, 12098687, 43964257, 160699521, 590448496, 2179478488, 8078241614, 30053639702, 112186635954, 420066070558, 1577292527667, 5937792502276, 22406180147789, 84734967149786, 321099877263936, 1219096855266710, 4636616742061519, 17663588270753293, 67394746507804200, 257514310797751118, 985297640543943447, 3774766283365278947, 14478979062558774061, 55600965882938627679, 213745426268602163721, 822540061100736127829, 3168403679165641922444, 12215924353434283695997, 47140609965646016421569, 182066114323902579081202, 703738606540992110527172, 2722239609978474029840561], 2395637320325682802402018\ 8364659878933178035710608718283807884120229745780440684974721017201208471383683\ 1904325189355459739226983410702839665047597245904076978723551313189738942156698\ 9713057598281556895714138085493419645310455588549995275319370355853714432513764\ 8217624924864340738376393417851613297768965677213436084280169284692510968603301\ 2745155143821219756934653012363249557578875170724262189635177721905378506365709\ 9818744980461905095916698883751830590346686820024291143048931213647173344776837\ 5461767039884595976611037554222109906078983871511603310808461102676884591961256\ 09810721476817456] ---------------------------- (A,B)= , {1, 2, 4, 5}, {2, 3, 5} [P^2*x^11-2*P^2*x^9-2*P*x^10+P^2*x^8+2*P*x^9+4*P^2*x^7+2*P*x^8+x^9-6*P*x^7-2*x^ 8-2*P^2*x^5-2*P*x^6+x^7+2*P^2*x^4+5*P*x^5+3*x^6+P^2*x^3-2*P*x^4-3*x^5-2*P^2*x^2 -4*P*x^3-P^2*x+4*P*x^2+3*x^3+P^2+2*P*x-2*x^2-2*P-x+1, ((x^5-x^4+x^2)*C+x^2-1)/( (x^6-x^4+x^2)*C+x^3+x^2-1), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-8*(n-2)* (19*n-138)*a(n-2)+(35*n^2-571*n+1368)*a(n-3)+(399*n^2-4683*n+12672)*a(n-4)+(-\ 263*n^2+4291*n-15912)*a(n-5)+(-560*n^2+6700*n-19152)*a(n-6)+(579*n^2-8427*n+ 30576)*a(n-7)+(370*n^2-4022*n+8712)*a(n-8)+(-783*n^2+9075*n-17208)*a(n-9)+(-61* n^2+131*n-1284)*a(n-10)+(621*n^2-3927*n-28548)*a(n-11)+(33*n^2-3441*n+46848)*a( n-12)+(-227*n^2-2087*n+52740)*a(n-13)+(-220*n^2+10832*n-110184)*a(n-14)+(-31*n^ 2+3971*n-44376)*a(n-15)+(545*n^2-20293*n+182952)*a(n-16)-4*(n-18)*(7*n-374)*a(n -17)+(-541*n^2+18983*n-165588)*a(n-18)+(167*n^2-7147*n+74064)*a(n-19)+(350*n^2-\ 12514*n+111552)*a(n-20)+(-149*n^2+5827*n-56436)*a(n-21)+(-94*n^2+3458*n-31416)* a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 2, a(8) = 7, a(9) = 13, a(10) = 34, a(11) = 93, a(12 ) = 268, a(13) = 828, a(14) = 2650, a(15) = 8756, a(16) = 29618, a(17) = 102009 , a(18) = 356475, a(19) = 1260459, a(20) = 4500709, a(21) = 16204289, a(22) = 58757875, a(23) = 214380370}, [0, 0, 1, 0, 1, 2, 2, 7, 13, 34, 93, 268, 828, 2650, 8756, 29618, 102009, 356475, 1260459, 4500709, 16204289, 58757875, 214380370, 786429061, 2898816633, 10731104584, 39878750856, 148713710693, 556332355481, 2087235466197, 7851590493801, 29607443084050, 111897393097161, 423782171445276, 1608068963338187, 6112913525595846, 23276706842124164, 88772339438848342, 339058140820349812, 1296798415714297205, 4966350367762216751 , 19043056064208368982, 73103949339711329634, 280945977837224144172, 1080830524258600624640, 4162192101918938050259, 16043349157647481930289, 61895141331824211147582, 238994723907310229711054, 923577188640158838708903], 7801798456406271536407381341619310882119160728579006121758824545414370129796972\ 0693180445778356884649321611727450757242442238119825616056284385849232253498225\ 4539280015120593948902932737893904099613682105328260032727186991710263970773262\ 8830697865101815178008881707132361497799439400274023931999129797327536109317125\ 1078440302316694679454192078009495016510224203113817849301161426329742453405467\ 7039972984673308670238230864921226216271132483168503829102031835230007761081146\ 8660592878321298221350457266366485348226557432597685209756379588479496251517142\ 28166278073786831401579300285235952526427] ---------------------------- (A,B)= , {1, 2, 4, 5}, {2, 4, 5} [P^2*x^6+4*P^2*x^5+2*P^2*x^4-5*P*x^5-2*P^2*x^3-4*P*x^4+x^5-3*P^2*x^2+2*P*x^3+2* x^4+6*P*x^2+P^2-3*x^2-2*P+1, (C*x^3+x^2-1)/(C*x^3+x^3+x^2-1), {5*n*(n-5)*a(n)-6 *(n-1)*(7*n-44)*a(n-1)+2*(n-2)*(32*n-267)*a(n-2)+(192*n^2-1878*n+3936)*a(n-3)+( -291*n^2+3825*n-10932)*a(n-4)+(-510*n^2+6144*n-17328)*a(n-5)+(330*n^2-6000*n+ 24420)*a(n-6)+(922*n^2-13088*n+45504)*a(n-7)+(78*n^2+270*n-6984)*a(n-8)+(-782*n ^2+13654*n-59064)*a(n-9)+(-342*n^2+5934*n-25464)*a(n-10)+(152*n^2-3520*n+20208) *a(n-11)+(123*n^2-2877*n+16860)*a(n-12)+10*(n-12)*(2*n-25)*a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 2, a(8) = 6, a(9) = 12, a(10) = 28, a(11) = 77, a(12) = 218, a(13) = 666}, [0, 0, 1, 0, 1, 2, 2, 6, 12, 28, 77, 218, 666, 2128, 7018, 23740, 81815, 286130, 1012611, 3618780, 13039330, 47315972, 172748783, 634091142, 2338575092, 8661483368, 32202373796, 120137670540, 449603438239, 1687410548290, 6349642801093, 23951045273868, 90545340483429, 343007000654074, 1301881797415806, 4950110112720986, 18853050927919052, 71916012401527036, 274729166483510901, 1050947426794390706, 4025496595056750183, 15437904660583196146, 59273213529879725327, 227825842426945438152, 876591309577006794572, 3376122253488900090200, 13015020662925660408619, 50217796847891164845226, 193927026498448457999878, 749497115874808735644116], 6359761249412464784973871933959724682195672410015265\ 5801314018171060758310066784926532006659825200149891135963900768833625196586940\ 7605195415234059350201028918849308390792324033576672649033848730370694819966602\ 1536058027969387899484073909268765787607733969899725460135112636121358139341632\ 2936799665012167825491798335400642788446629190220438761063881148993760856243362\ 2864630659424370270027426248755990202791569778170504355350671110115961935527894\ 8097555626151058753487292446735071325947448930866965425781509821844016114262552\ 75298108934558183418999216404992679264909346635400982322814267514704] ---------------------------- (A,B)= , {1, 2, 4, 5}, {3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9-2*P*x^10+3*P^2*x^8-4*P*x^9+3*P^2*x^7-4*P*x^8+x^9 +4*P^2*x^6-4*P*x^7+2*x^8+3*P^2*x^5-4*P*x^6+x^7+3*P^2*x^4-5*P*x^5+x^6-P^2*x^3-4* P*x^4+2*x^5-P^2*x^2+x^4-2*P^2*x+2*P*x^2+x^3+P^2+4*P*x-x^2-2*P-2*x+1, ((x^5+x^4) *C+x^2+x-1)/((x^6+x^5+x^4)*C+x^3+x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-\ 1)-2*(n-2)*(124*n-861)*a(n-2)+(379*n^2-4115*n+8904)*a(n-3)+(-94*n^2+1016*n-2220 )*a(n-4)+(82*n^2+196*n-4236)*a(n-5)+(-582*n^2+7434*n-22296)*a(n-6)+(60*n^2-1092 *n+4788)*a(n-7)+(110*n^2-3568*n+20652)*a(n-8)+(463*n^2-8261*n+36768)*a(n-9)+( 223*n^2-3767*n+15228)*a(n-10)+(43*n^2-845*n+3984)*a(n-11)+(-59*n^2+4327*n-42972 )*a(n-12)+(-155*n^2+8929*n-92988)*a(n-13)+(20*n^2+3146*n-40488)*a(n-14)+(142*n^ 2-5396*n+50664)*a(n-15)+(410*n^2-16876*n+165168)*a(n-16)+(508*n^2-19916*n+ 189624)*a(n-17)+(581*n^2-21817*n+203364)*a(n-18)+(531*n^2-19485*n+178548)*a(n-\ 19)+(500*n^2-18508*n+170760)*a(n-20)+(389*n^2-14683*n+137700)*a(n-21)+2*(109*n-\ 1892)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5) = 2, a(6) = 5, a(7) = 10, a(8) = 22, a(9) = 50, a(10) = 117, a(11) = 288, a(12) = 747, a(13) = 2046, a(14) = 5914, a(15) = 17952, a(16) = 56829, a(17) = 186187, a(18) = 626880, a(19) = 2156316, a(20) = 7542613, a(21) = 26735597, a(22) = 95781758, a(23) = 346145256}, [0, 0, 1, 1, 2, 5, 10, 22, 50 , 117, 288, 747, 2046, 5914, 17952, 56829, 186187, 626880, 2156316, 7542613, 26735597, 95781758, 346145256, 1260045482, 4615169768, 16993888418, 62865129046 , 233509437147, 870532159218, 3256052446092, 12214888227242, 45947732499064, 173266975898913, 654874443912058, 2480360266467736, 9412797059752624, 35785738184735171, 136280929080808735, 519811521190340564, 1985633110614719427, 7595477166322724405, 29092316544863258588, 111567090810738620647, 428349860805534921152, 1646411869793121091057, 6334764879383237379652, 24397843789314845541064, 94054563005691490146499, 362907464145690628758076, 1401461269257324877604682], 115390979133982484201672292920362958916606606238075\ 6408160367131784651310459405862900276128309387027191218031968653932576661903496\ 3839689958383973118532169937901605526138969030331453559388358623139268343970539\ 4792113388162819899791377269822264450854044288515012370042757771370462741693817\ 7086013533942247636548729302169489986916190538029702443193225156045258314555045\ 6252079763304868174182393537053161196963238096476394474857620937024737562353536\ 8040273589968879822110903662529102548761799690897277096048357706101370815903305\ 5263001779360322236311099977763099662465529008295329426056169999872951] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^8+P^2*x^7+P^2*x^6+2*P^2*x^5-P^2*x^4-2*P*x^5-2*P^2*x^3+P*x^4+2 *P*x^3+P^2-2*P+1, -1/(C*x^5-x^5+x^3-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-\ 1)-36*(n-2)*(2*n-13)*a(n-2)+(9*n^2-45*n+42)*a(n-3)+(-74*n^2+566*n-948)*a(n-4)+( 126*n^2-1398*n+3516)*a(n-5)+6*(22*n-27)*(n-6)*a(n-6)+(-87*n^2+543*n+546)*a(n-7) +(-66*n^2+1026*n-3732)*a(n-8)+(-179*n^2+1667*n-3774)*a(n-9)+(165*n^2-1575*n+ 3006)*a(n-10)+(34*n^2-178*n-252)*a(n-11)+(-14*n^2-448*n+4032)*a(n-12)+(-41*n^2+ 683*n-2742)*a(n-13)+(2*n^2-122*n+996)*a(n-14)+(8*n^2-44*n-384)*a(n-15)-2*(n-10) *(n-12)*a(n-16)+4*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a( 4) = 0, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 5, a(9) = 17, a(10) = 46, a(11) = 142, a(12) = 462, a(13) = 1524, a(14) = 5155, a(15) = 17752, a(16) = 61957, a( 17) = 218766}, [0, 0, 1, 0, 0, 2, 2, 5, 17, 46, 142, 462, 1524, 5155, 17752, 61957, 218766, 779994, 2804077, 10153029, 36992509, 135525545, 498942104, 1844913082, 6848693670, 25514232680, 95358524668, 357451037874, 1343528193482, 5062397339003, 19118852492155, 72358532665775, 274393698233988, 1042451636577453, 3967180514362313, 15121827725686933, 57727055231136680, 220682445639559415, 844760116788203102, 3237749881399718035, 12424166713312371191, 47728476429875874508, 183547568859688888767, 706572726507367954921, 2722578706454276941487, 10500237605425892554440, 40531635857502750189131, 156584216380955867352017, 605402755585308291004570, 2342438304892382207490741], 208208515507249476615247275850749602206628009671356\ 1163948349547288169409657563822854183501733610115433214157683822867278026181228\ 5577018137476961794242557341821265709100277749498408526885655000313162251410109\ 8752324416261552731361163768700104778796823737072535470833493516462088175352667\ 6240805451489119335862035675012652687905114695419925483675425951495443732987169\ 0934934823230146797480115207248131391660632207555090554239266396122410546888721\ 1970562418739970341302112349100725884944827530420809536185288457175607795980031\ 7607108909779122757393493517501973331610609763424800245839539266162924] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 2, 3, 5} [P^2*x^11-2*P^2*x^10+P^2*x^9+P^2*x^8+P^2*x^7-P^2*x^6-2*P*x^7-P^2*x^5+2*P*x^6+2* P^2*x^4+P*x^5-P^2*x^3-2*P*x^4-P^2*x+x^3+P^2+2*P*x-2*P-x+1, (C*x^2-1)/((x^6-x^5+ x^2)*C+x^3-1), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-12*(n-2)*(14*n-99)*a( n-2)+(199*n^2-2111*n+4512)*a(n-3)+(-129*n^2+1305*n-2832)*a(n-4)+(230*n^2-2098*n +3696)*a(n-5)+(-393*n^2+4341*n-10848)*a(n-6)+(254*n^2-3502*n+11616)*a(n-7)+(45* n^2+543*n-7296)*a(n-8)+(-60*n^2-540*n+10608)*a(n-9)+(-91*n^2+2231*n-13656)*a(n-\ 10)+(-86*n^2-578*n+9792)*a(n-11)+(317*n^2-2089*n-5208)*a(n-12)+(-225*n^2+1593*n +4416)*a(n-13)+(68*n^2-748*n+1080)*a(n-14)+(-81*n^2+2013*n-12936)*a(n-15)+(76*n ^2-1736*n+10152)*a(n-16)+(-48*n^2+1044*n-5472)*a(n-17)+(80*n^2-2260*n+15984)*a( n-18)-2*(5*n-72)*(7*n-107)*a(n-19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 0, a( 2) = 0, a(3) = 1, a(4) = 0, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 3, a(9) = 10, a(10) = 22, a(11) = 65, a(12) = 203, a(13) = 638, a(14) = 2098, a(15) = 7059, a (16) = 24164, a(17) = 84005, a(18) = 295629, a(19) = 1051038, a(20) = 3769440}, [0, 0, 1, 0, 0, 2, 1, 3, 10, 22, 65, 203, 638, 2098, 7059, 24164, 84005, 295629 , 1051038, 3769440, 13620296, 49536461, 181196001, 666151114, 2460138873, 9122382705, 33950593333, 126773792559, 474817738533, 1783316138851, 6714844255350, 25343318423593, 95859338570123, 363312711820539, 1379561099620219, 5247598706331773, 19993560814051936, 76293010642932042, 291543770995523862, 1115604224671373877, 4274349899403012895, 16396552433136090829, 62969335914736087446, 242088186978906576918, 931669420978203444234, 3588983933721094381101, 13838274241357577963189, 53404014183195686292616, 206266916290913505748394, 797319399292213770091295], 6805831099242114951023453531095075535867602739592435766154718046491761992582967\ 2496351910746788089108156379671644177036409270051694976739777063415617027273612\ 8122645908499118952715843912907502517836551871018907156424919804055966111787882\ 6578990356739279117494382881592776292463785439630314300378497684118017115929445\ 3238381713450739337865636945800026449715976250552142027969059646570943314599613\ 9414005264376456418303655053533468683311181864790428328312545176901350512899020\ 8179164796543400069254701153606924551300173904494017956677671264135192076161182\ 62376512614986035090431399298063885336473] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 2, 4, 5} [P^2*x^6+2*P^2*x^5-3*P*x^5-2*P^2*x^3+x^5-P^2*x^2+2*P*x^3+2*P*x^2+P^2-x^2-2*P+1, (C*x^3-1)/(C*x^3+x^3-1), {5*n*(n-5)*a(n)-6*(n-1)*(7*n-44)*a(n-1)+2*(n-2)*(40*n-\ 309)*a(n-2)+(56*n^2-574*n+1248)*a(n-3)+(-39*n^2+765*n-2724)*a(n-4)+(-224*n^2+ 2614*n-6816)*a(n-5)+(-92*n^2+718*n-876)*a(n-6)+(256*n^2-3482*n+11400)*a(n-7)+12 *(3*n-20)*(6*n-43)*a(n-8)+(-58*n^2+986*n-4056)*a(n-9)+(-142*n^2+2642*n-12336)*a (n-10)+(-46*n^2+878*n-4152)*a(n-11)+3*(n-12)*(7*n-89)*a(n-12)+6*(n-12)*(2*n-25) *a(n-13) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 2, a(9) = 9, a(10) = 18, a(11) = 51, a(12) = 164, a(13) = 511}, [0, 0, 1, 0, 0, 2, 1, 2, 9, 18, 51, 164, 511, 1676, 5656, 19374, 67415, 237512, 845200, 3033794, 10970665, 39927660, 146140604, 537579778, 1986346326, 7369006282, 27436946917, 102492053706, 384013272971, 1442759822434, 5434219422945, 20515896540412, 77620868929488, 294261768537014, 1117625345743841, 4252178809819970, 16204318909541009, 61845736743956462, 236378662535420543, 904668904252744548, 3466733647965250948, 13300563798555137138, 51086979988695028475, 196433290819677542886, 756067762844740193502, 2912896156873376462212, 11232785074876917888070, 43353987070691355614368, 167468103032080972358947, 647411107996932726548658], 5550548749586560301902877691813672239093445974792868664809490959078921955788134\ 1090105871903643295590367817342771006356279576779846402982929704771445841642777\ 5387612619681991237960085391220807499945592205872009062360318436163638994703611\ 4834194738639014828710557246581847632516696847641067133155020745676935483079550\ 2182162517464978536550742878039144332543886095328055054615109786961360352896108\ 5844316774232554883976353357186053869202987685229204617888518204137811485090433\ 0877073902765498929220745155274244307218922044110592483479116096297489057903171\ 51299492437896950941037532402062791123502] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 3, 4, 5} [P^2*x^11+2*P^2*x^9+P^2*x^8-2*P*x^9+P^2*x^7+3*P^2*x^6-2*P*x^7-P^2*x^5-2*P*x^6+x ^7+3*P^2*x^4+P*x^5-3*P^2*x^3-4*P*x^4+P^2*x^2+4*P*x^3+x^4-2*P^2*x-2*P*x^2-x^3+P^ 2+4*P*x+x^2-2*P-2*x+1, (C*x^4+x-1)/((x^6+x^4)*C+x^3+x-1), {-5*n*(n-5)*a(n)+60*( n-1)*(n-6)*a(n-1)-6*(n-2)*(44*n-301)*a(n-2)+(557*n^2-5785*n+12312)*a(n-3)+(-766 *n^2+8648*n-21996)*a(n-4)+(1094*n^2-12892*n+35892)*a(n-5)+(-1406*n^2+18016*n-\ 55932)*a(n-6)+(1304*n^2-17662*n+59172)*a(n-7)+(-1242*n^2+17844*n-64092)*a(n-8)+ (981*n^2-16755*n+73068)*a(n-9)+(-503*n^2+10981*n-61284)*a(n-10)+(267*n^2-9663*n +72120)*a(n-11)+(16*n^2+6160*n-70056)*a(n-12)+(-59*n^2-4163*n+54252)*a(n-13)+( 22*n^2+5686*n-73920)*a(n-14)+(86*n^2-6010*n+65856)*a(n-15)+(-24*n^2+2568*n-\ 30552)*a(n-16)+(106*n^2-4586*n+45336)*a(n-17)+(82*n^2-2738*n+22968)*a(n-18)+(-\ 10*n^2+182*n-96)*a(n-19)+(140*n^2-4948*n+43536)*a(n-20)-6*(5*n-76)*(n-19)*a(n-\ 21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 1, a(5 ) = 1, a(6) = 3, a(7) = 6, a(8) = 11, a(9) = 24, a(10) = 57, a(11) = 144, a(12) = 395, a(13) = 1161, a(14) = 3597, a(15) = 11609, a(16) = 38640, a(17) = 131622 , a(18) = 456373, a(19) = 1604567, a(20) = 5705097, a(21) = 20472933, a(22) = 74041051}, [0, 0, 1, 1, 1, 3, 6, 11, 24, 57, 144, 395, 1161, 3597, 11609, 38640 , 131622, 456373, 1604567, 5705097, 20472933, 74041051, 269559218, 987060400, 3632751650, 13430139670, 49850659458, 185708733915, 694090588277, 2601923569075 , 9780398652599, 36855753208390, 139205203324949, 526904178967326, 1998327679999575, 7592777528026421, 28898794037693048, 110167963517146713, 420613875814183451, 1608143179088621617, 6156620857384471606, 23599541697221229688, 90568644583587943163, 347966525844982607749, 1338310063690719558306, 5152429566037080649028, 19855534297171126557483, 76585234682656612377775, 295653950755484451817952, 1142299609058995501507079], 9574306247781658187673426554053042200400982517504458333458662479496062260083136\ 7928840021319284772789429664724375717681239672610626544989568530803867236969968\ 0169070099877045428189008105940552077556189010816158332996664871648831934551519\ 5339716737262486241044014191280155038408624206430906127414046929979098574085283\ 9226910339860443327227162803538504429791288322924804772048676534485456207862256\ 9098922149386019606140844258060362966588634729125186211133105695786961565233150\ 4543965542624603923581878921624335260843359827084497166064586980037171736888355\ 77892628699629940272809755193908223748993] ---------------------------- (A,B)= , {1, 2, 4, 5}, {2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-2*P*x^10+P^2*x^8-2*P*x^9+2*P^2*x^7+x^9+2*P^2*x^6-2 *P*x^7+P^2*x^5-2*P*x^6-P*x^5+x^6-2*P^2*x^3-2*P^2*x^2+2*P*x^3+4*P*x^2+P^2-2*x^2-\ 2*P+1, (C*x^5+x^2-1)/((x^6+x^5)*C+x^3+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44) *a(n-1)-72*(n-2)*(n-8)*a(n-2)+(-124*n^2+1226*n-2592)*a(n-3)+(174*n^2-2370*n+ 6984)*a(n-4)+(299*n^2-3583*n+9792)*a(n-5)+(-54*n^2+1254*n-5760)*a(n-6)+(-284*n^ 2+4768*n-18960)*a(n-7)+(-225*n^2+3363*n-12336)*a(n-8)+(-93*n^2-15*n+7488)*a(n-9 )+(81*n^2-1671*n+6492)*a(n-10)+(191*n^2-2821*n+9600)*a(n-11)+(64*n^2-3746*n+ 36048)*a(n-12)+(-52*n^2-52*n+3408)*a(n-13)+(3822*n-52872)*a(n-14)+(43*n^2+2395* n-40956)*a(n-15)+(54*n^2-1110*n+5808)*a(n-16)+(66*n^2-2742*n+27672)*a(n-17)+( 163*n^2-6413*n+62244)*a(n-18)+(187*n^2-7013*n+65724)*a(n-19)+(68*n^2-2632*n+ 25512)*a(n-20)+(83*n^2-3253*n+31644)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36* (2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 1, a(6) = 2, a(7) = 2, a(8) = 6, a(9) = 11, a(10) = 26, a(11) = 70, a(12) = 197, a (13) = 604, a(14) = 1933, a(15) = 6398, a(16) = 21713, a(17) = 75036, a(18) = 263045, a(19) = 932739, a(20) = 3338800, a(21) = 12047071, a(22) = 43766489, a( 23) = 159950253}, [0, 0, 1, 0, 1, 2, 2, 6, 11, 26, 70, 197, 604, 1933, 6398, 21713, 75036, 263045, 932739, 3338800, 12047071, 43766489, 159950253, 587624338 , 2168854828, 8038291548, 29903319552, 111620406354, 417930263634, 1569224171227, 5907265341864, 22290497174930, 84295906167471, 319430956723197, 1212743830879873, 4612398884498224, 17571144742631297, 67041418578036212, 256162189932647440, 980117217093281691, 3754895993310766846, 14402681554616341871, 55307699182500431242, 212617082265751944414, 818194680307849085157, 3151654100260713691194, 12151306450512795309747, 46891116685374290230414, 181102048083883536792313, 700010547647394464012354], 5966301015073261635035268942781582063607994578318281664768025465129148305177500\ 8648800688257963386768794331472921579828714887018666659640556439123602521528783\ 5643038166777753625199777010136788756354121545387771035709209052079324622487103\ 5020465393143138586626815503209257718946438965072742180706674856991124389749028\ 5328682589353198061603701969244179524371148306038303449965988661116168206214177\ 8826842221124515253096961557050956626736021333793535322086707211426079183528004\ 4287690182343910945543510922753908050852804199269177261393583613916371193677226\ 31936502722003422647276045591915261948394] ---------------------------- (A,B)= , {1, 2, 4, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^8+P^2*x^6-P^2*x^5+P*x^5-2*P^2*x^3+2*P*x^3+P^2-2*P+1, -1/(C*x^6+ x^3-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+(12*n ^2-78*n+96)*a(n-3)+(-102*n^2+906*n-1704)*a(n-4)+(221*n^2-2437*n+6000)*a(n-5)-2* (26*n-49)*(n-6)*a(n-6)+(170*n^2-1828*n+4536)*a(n-7)+(-175*n^2+2369*n-8136)*a(n-\ 8)+(64*n^2-674*n+1800)*a(n-9)+(-154*n^2+2066*n-7056)*a(n-10)+(38*n^2-766*n+3588 )*a(n-11)+(19*n^2+109*n-1644)*a(n-12)+(-44*n^2-2*n+2640)*a(n-13)+(n+4)*(n-9)*a( n-14)+(-14*n^2+196*n-576)*a(n-15)+20*(n-8)*(2*n-21)*a(n-16)-(n-12)*(n-11)*a(n-\ 17)+2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 2, a(9) = 8, a(10) = 16, a(11) = 46, a(12) = 147, a(13) = 462, a(14) = 1525, a(15) = 5163, a(16) = 17748, a(17) = 61927, a( 18) = 218636}, [0, 0, 1, 0, 0, 2, 1, 2, 8, 16, 46, 147, 462, 1525, 5163, 17748, 61927, 218636, 779411, 2801777, 10144224, 36959100, 135399743, 498469713, 1843140304, 6842038554, 25489224163, 95264421187, 357096397868, 1342189527730, 5057335940556, 19099684439560, 72285825069084, 274117478169856, 1041400690966474, 3963176191081807, 15106549405629203, 57668684720858777, 220459161847145753, 843904967392948360, 3234471011834537335, 12411580907955181982, 47680115894347462624, 183361559825785912155, 705856598684548167902, 2719819130024216797792, 10489594398847552375417, 40490552632743133998123, 156425506769368668309703, 604789171389480757766886], 5207883665570437527896563375263238904387959841991881968565768450665488943244763\ 2234425241283907613828542920558245286256227537280987372285377597630729067541319\ 0714272733134688581574167069704842966175658549790095167498654770010906290469436\ 7915536618301553769614425457998540939573910209248304382585131248940365048235837\ 8678747374099153548199078670113813335855254748631998872256568860091264811937937\ 5705196939101678870551699052334482495067402516786406517418534659391991983026144\ 6086895620281783003057309131650822379717241831622565385384863757906782119575708\ 03843504624821381066338488811668315295542] ---------------------------- (A,B)= , {1, 3, 4, 5}, {} [P^2*x^7+2*P^2*x^6+3*P^2*x^5+P^2*x^4-3*P^2*x^3-2*P^2*x^2+3*P*x^3+2*P*x^2+P^2-2* P+1, (-C*x+1)/((x^4+x^3-x)*C-x^4-x^3-x^2+1), {-3*n*(n-3)*a(n)+2*(n-1)*(13*n-56) *a(n-1)+(-49*n^2+393*n-596)*a(n-2)+(-53*n^2+363*n-544)*a(n-3)+(50*n^2-678*n+ 1768)*a(n-4)+(214*n^2-1770*n+3356)*a(n-5)+(5*n^2+231*n-1124)*a(n-6)+(-213*n^2+ 2313*n-6252)*a(n-7)+(-129*n^2+1341*n-3576)*a(n-8)+(-396*n+2316)*a(n-9)+2*(34*n-\ 247)*(n-8)*a(n-10)+(45*n^2-675*n+2544)*a(n-11)+6*(n-8)*(2*n-17)*a(n-12) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 28, a(9) = 72, a(10) = 204, a(11) = 619, a(12) = 1975}, [0, 1, 1, 2, 3, 6, 12, 28, 72, 204, 619, 1975, 6526, 22115, 76360, 267508, 948072, 3392274, 12235781, 44439090, 162367743, 596376357, 2200739691, 8155097310, 30333326624, 113210383786, 423832515490, 1591212457928, 5989446109497, 22598554236509, 85453795091376, 323793934453275, 1229221510645600, 4674762606276636, 17807641301400109, 67939912747228352, 259581591375448550, 993151322746176433, 3804654249823908926, 14592904222104524457, 56035875417681879055, 215408050417019098196, 828904623918092568194, 3192798018155131889726, 12309534942818751118285, 47500233680604887750073, 183449149714961631421099, 709062827916501592273286, 2742755708253448648324090, 10617158477341771971403615 ], 9629983167218046997804126378307287583481799759270507248947151778625570799089\ 8008701517109490952087086443849429168972388084221323319549048571555793332982556\ 6296752382572708413970579097511258918569713166029066859763287320254160238622258\ 2028812624679653996906578299344713967337093903049160566958918022853698130237339\ 1478652153250696868208903522409143441196013131095992899371830889442302945039862\ 6844628309770904169900429131728966964348144620815192692355188661138404256120948\ 1682498875804518445264339416063007877127920651729417778570446342599713506317075\ 099063209151959781785512711120298189192262571] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1} [P^2*x^7+2*P*x^6-3*P^2*x^4+2*P*x^5-2*P^2*x^3+2*P*x^4+x^5+2*P^2*x^2-P*x^3+2*x^4+ 2*P^2*x-6*P*x^2+3*x^3+P^2-4*P*x+4*x^2-2*P+2*x+1, ((-x^3-x^2-x)*C+x^3+x^2+x+1)/( (x^4-x^2-x)*C-x^4+x+1), {3*n*(n-3)*a(n)-16*(n-1)*(n-5)*a(n-1)+(-15*n^2+63*n-60) *a(n-2)+(46*n^2-546*n+1160)*a(n-3)+(253*n^2-2463*n+5840)*a(n-4)+(264*n^2-2988*n +8760)*a(n-5)+(-28*n^2-444*n+3616)*a(n-6)+(-295*n^2+3525*n-10376)*a(n-7)+(-200* n^2+2076*n-3784)*a(n-8)+(113*n^2-2373*n+13852)*a(n-9)+(135*n^2-2667*n+14748)*a( n-10)+(-14*n^2+1158*n-9976)*a(n-11)-60*(2*n-23)*(n-14)*a(n-12)-3*(n-9)*(n-12)*a (n-13)+2*(n-8)*(n-7)*a(n-14)+20*(2*n-23)*(n-14)*a(n-15) = 0, a(1) = 0, a(2) = 1 , a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 9, a(9) = 23, a(10) = 78, a(11) = 250, a(12) = 847, a(13) = 2891, a(14) = 10052, a(15) = 35335}, [0 , 1, 0, 1, 0, 2, 2, 9, 23, 78, 250, 847, 2891, 10052, 35335, 125538, 449853, 1624234, 5902905, 21576821, 79273313, 292581609, 1084290165, 4033204108, 15052637397, 56351302882, 211549434982, 796228285401, 3003958897032, 11358047195731, 43032610402118, 163348186567532, 621152242491744, 2365913456930199, 9025502616439040, 34480577816098772, 131907895141307385, 505272809228185009, 1937798401463263606, 7440292335965975604, 28598526240186625918, 110038615362696141555, 423810587822715908698, 1633814657498797879577, 6304035637631594533325, 24344528544975716111891, 94087971626000507879912, 363916035972563641183897, 1408600964267603294808304, 5456080429351944966248717], 507940994135326888907440901081401916824757158302602\ 5021107231856681445651844923279616450521602634499466877602803289077541916393783\ 1838765417793221653016057872443421259178512542062871299917136710271468612373499\ 1799985131961924623053262762342111494987687567852785267265933458686637623334474\ 7560727794221853888270512435084890719271094387031084831100496040034608255991338\ 7692330918445143535740644013188559809997644562975038582356765291733411676769377\ 3512392676845689127446009902578669088590200288076421693202873282964212674100551\ 5945245657751070649944266165665288614891027305550691882610120545337314] ---------------------------- (A,B)= , {1, 3, 4, 5}, {2} [P^2*x^9-4*P^2*x^7-2*P*x^8-2*P^2*x^6+2*P*x^7+5*P^2*x^5+4*P*x^6+x^7+7*P^2*x^4-2* P*x^5-2*x^6-2*P^2*x^3-6*P*x^4+x^5-6*P^2*x^2-P*x^3+P^2*x+10*P*x^2+3*x^3+P^2-2*P* x-4*x^2-2*P+x+1, ((x^4-x^3+x)*C-x^4+x^3-1)/((x^5-2*x^3+x)*C-x^5+2*x^3+x^2-1), { -3*n*(n-3)*a(n)+3*(n-1)*(7*n-32)*a(n-1)+(9*n^2+45*n-132)*a(n-2)+(-261*n^2+1953* n-3444)*a(n-3)+(163*n^2-1725*n+4160)*a(n-4)+(863*n^2-8571*n+21184)*a(n-5)+(-685 *n^2+9303*n-30764)*a(n-6)+(-891*n^2+8091*n-14100)*a(n-7)+(423*n^2-7413*n+29040) *a(n-8)+(258*n^2+3810*n-51768)*a(n-9)+(184*n^2-2814*n+17528)*a(n-10)+(705*n^2-\ 25017*n+185172)*a(n-11)+(-257*n^2+8475*n-71536)*a(n-12)+(-1047*n^2+30561*n-\ 215256)*a(n-13)+(-152*n^2+1608*n+6392)*a(n-14)+(732*n^2-21288*n+153720)*a(n-15) +(296*n^2-7752*n+49648)*a(n-16)+(-333*n^2+10191*n-76944)*a(n-17)+(-94*n^2+2706* n-19088)*a(n-18)+36*(2*n-27)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 28, a(9) = 72, a(10) = 203, a( 11) = 613, a(12) = 1946, a(13) = 6402, a(14) = 21616, a(15) = 74418, a(16) = 260089, a(17) = 920017, a(18) = 3286743, a(19) = 11839761}, [0, 1, 1, 2, 3, 6, 12, 28, 72, 203, 613, 1946, 6402, 21616, 74418, 260089, 920017, 3286743, 11839761, 42953915, 156795717, 575450157, 2122041897, 7858673825, 29214971702, 108983935855, 407833431944, 1530549591075, 5759070033219, 21722333759297, 82116272023835, 311063513768121, 1180598508290426, 4488813151915324, 17095646746121936, 65210541216722562, 249107180178703008, 952911551204345965, 3649908242964082336, 13997239692297153865, 53740869707769377626, 206557954030534117283, 794747767585954331356, 3060863675404758129705, 11799531395543591640280, 45527311082384995984857, 175811577490150593895773, 679476116301129361479988, 2628066516847565082965578, 10172300190469718297864025 ], 9194204413024462612510559475809495882423184483805918815854286999992100374062\ 2359221669204514832783031767673077443927757114990981356495360808820427811230684\ 9620080064962485696938850138603390167193282036374246335641976522471063566361111\ 6359445563268734553768408117292488905265942445868547354820758123923159035598698\ 6502005599513626334397879402338932848370225103410347416994292006569016123403936\ 9599505258779696141159031407213063441265190122107061001189577844992319789717085\ 3610477168911007898557335400095775050999400034764332784406948567378630620196668\ 538482588790391683809869837946552968825381694] ---------------------------- (A,B)= , {1, 3, 4, 5}, {3} [4*P^2*x^3+4*P*x^4+x^5-P^2*x^2-5*P*x^3-2*x^4-4*P^2*x-2*P*x^2+x^3+2*P^2+8*P*x+3* x^2-4*P-4*x+2, ((-x^3+x^2-x)*C+x^3-x^2+1)/((x^2-x)*C-2*x^2+1), {12*n*(n-3)*a(n) -144*(n-1)*(n-4)*a(n-1)+(604*n^2-4176*n+5960)*a(n-2)+(-996*n^2+8988*n-18288)*a( n-3)+(297*n^2-4989*n+16188)*a(n-4)+(842*n^2-6726*n+11440)*a(n-5)+(-701*n^2+7335 *n-17776)*a(n-6)+(12*n^2+258*n-2928)*a(n-7)+(16*n^2-192*n+464)*a(n-8)+32*(2*n-\ 19)*(n-10)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 28, a(9) = 71}, [0, 1, 1, 2, 3, 6, 12, 28, 71, 198, 590, 1852, 6034, 20212, 69130, 240304, 846199, 3011510, 10812934, 39118060, 142441962, 521636436, 1919889328, 7097773160, 26345351622, 98141092988, 366789122292, 1374910161496, 5167905898888, 19473365170016, 73547638424486, 278370123511384, 1055688444220663, 4010959924394198, 15265341843489414, 58191819199258700, 222162454677595266, 849362156342706436, 3251564649079343736, 12463384659905076904, 47829229493975283986, 183753953413247769652, 706708438118660927684, 2720698915094241226632, 10484203438240266444812, 40437554413742553627192, 156102552318959433853876, 603105534764807958175744, 2331946163900234562650902, 9023404346311540931705084], 805214134665229656402040\ 7180252255388033056440746559453804940119590982064356381089645848817755670203040\ 9400816945889623051008703395882141289481473749763921835179458909605005824013814\ 1631628158421800041610201017314225638580785539873431406413393635092519914629332\ 5534874739254523567976567527629063568484541021566002676278637313464063182147055\ 5007818777585027880806529128989931854396092488337573473951674829002274079846893\ 3732836128822248534856883401910579929125081756253473905737565543958962704226511\ 0901089469570616251228549688881249748488351203314499837333669986579558854051376\ 612475002052742272] ---------------------------- (A,B)= , {1, 3, 4, 5}, {4} [P^2*x^8+P^2*x^5+2*P*x^6-3*P^2*x^4-2*P*x^5+2*P^2*x^3+3*P*x^4+2*P^2*x^2+x^4-3*P^ 2*x-6*P*x^2-2*x^3+P^2+6*P*x+4*x^2-2*P-3*x+1, (-C*x^2+x^2-x+1)/((x^4-x^2)*C-x^4- x+1), {4*n*(n-4)*a(n)-5*(n-1)*(11*n-54)*a(n-1)+(293*n^2-2261*n+3366)*a(n-2)+(-\ 768*n^2+7314*n-15228)*a(n-3)+(1000*n^2-11728*n+31752)*a(n-4)+(-357*n^2+6735*n-\ 26298)*a(n-5)+(-725*n^2+6377*n-10638)*a(n-6)+(1056*n^2-12450*n+34164)*a(n-7)+(-\ 492*n^2+5664*n-12144)*a(n-8)+(-53*n^2+1763*n-14274)*a(n-9)+(174*n^2-1884*n+5952 )*a(n-10)+(-112*n^2-176*n+10416)*a(n-11)+(26*n^2+694*n-9612)*a(n-12)+(26*n^2-\ 674*n+4380)*a(n-13)-4*(n-10)*(n-9)*a(n-14)+(-22*n^2+526*n-3132)*a(n-15)+12*(2*n -25)*(n-14)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 27, a(9) = 66, a(10) = 176, a(11) = 503, a(12) = 1521, a (13) = 4803, a(14) = 15679, a(15) = 52506, a(16) = 179373}, [0, 1, 1, 2, 3, 6, 12, 27, 66, 176, 503, 1521, 4803, 15679, 52506, 179373, 622583, 2188949, 7778711, 27892006, 100781941, 366577764, 1341118776, 4931618042, 18217412700, 67569793886, 251542883667, 939539694823, 3519917714804, 13223659780078, 49805135331471, 188023946503413, 711364197074390, 2696760136036314, 10242430826376308, 38969007016618370, 148505252729083017, 566794705464757279, 2166360366260360966, 8291243243577678957, 31773053360116810164, 121903939288825245516, 468239131408583409017, 1800457181015297973616, 6930091855511612389120, 26700173503125866705219, 102964499442798887969994, 397411287984600790214878, 1535162682987108976765828, 5934902852898352809662481] , 50987315897627265313853382338445524198536940866995607191404239454675979870991\ 8043353083548062754499312714745123146566182743851567591019674717030330606754323\ 0783049095177063342037161133328124321319065896967656886703915234284039291210171\ 5982940583756952647917441954484313969200221971526840982808857370461314732859318\ 7988489152195683335939512190206705731211295743569256637657745097805232977263372\ 9113065130545605585792329143550609995669291252347629128431087869225312443461958\ 8025330315857384971905567067340908691159021026966014241562391904824613485272617\ 57487818084731303439857835440494691376733816] ---------------------------- (A,B)= , {1, 3, 4, 5}, {5} [P^2*x^9+2*P^2*x^8+P^2*x^7-3*P^2*x^6-4*P^2*x^5+2*P*x^6+P^2*x^4+3*P*x^5+5*P^2*x^ 3-6*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, (-C*x^2-x+1)/((x^5+x^4 -x^2)*C-x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(355*n^2-3125*n+ 4860)*a(n-2)+(-790*n^2+8594*n-19044)*a(n-3)+(445*n^2-6887*n+22032)*a(n-4)+(1005 *n^2-11355*n+28860)*a(n-5)+(-1142*n^2+17926*n-65124)*a(n-6)+(-861*n^2+10197*n-\ 27456)*a(n-7)+(985*n^2-18377*n+81012)*a(n-8)+(906*n^2-12102*n+36756)*a(n-9)+(-\ 476*n^2+10492*n-53736)*a(n-10)+(-631*n^2+10391*n-40500)*a(n-11)+(-44*n^2-950*n+ 12144)*a(n-12)+(268*n^2-4970*n+22512)*a(n-13)+(86*n^2-1300*n+3864)*a(n-14)-24*( n-11)*(n-13)*a(n-15)+(-2*n^2+4*n+288)*a(n-16)+4*(2*n-27)*(n-14)*a(n-17) = 0, a( 1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 50, a(10) = 118, a(11) = 298, a(12) = 807, a(13) = 2321, a(14) = 7028, a (15) = 22184, a(16) = 72375, a(17) = 242331}, [0, 1, 1, 2, 3, 6, 11, 23, 50, 118, 298, 807, 2321, 7028, 22184, 72375, 242331, 828178, 2876929, 10126784, 36035551, 129399388, 468248039, 1705661263, 6248967196, 23010129365, 85109096146, 316061379107, 1177959928845, 4404578093971, 16518280554003, 62115671945747, 234162075434391, 884760842720176, 3350071006990813, 12709665138661761, 48306606136291150, 183915257329151422, 701325478485433911, 2678357436642158878, 10242948584961814414, 39224103156182860084, 150390287411204209890, 577291596337676684547, 2218460864424414280959, 8534223499388024748548, 32863101155431059452495, 126667069929914508081114, 488663059523285908600411, 1886806205690713252311255], 1542906963630686267450218\ 8985118391381956923295048700829987985610131359642355242464763797938002743982283\ 4249411385689290256827837014226194197868273970034908584937466280738186094182318\ 0997153298060249599362080585947624985383497369146285933789568881074380813655693\ 1449373360813682017810296722659181105210311351112661719336894313144872605266246\ 6732106857636074275892537183223215802545062713210325688125410472508312241442993\ 2633441197903993835782473251670064842319758125020907664058871493627540383986537\ 3531893130482993821772720301409305651517845252700702723063218713778357580508073\ 70024575474656702] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 2} [P^2*x^9-2*P^2*x^8-P^2*x^7+2*P^2*x^6+4*P^2*x^5-2*P*x^6-P^2*x^4-6*P^2*x^3+2*P*x^ 4+5*P*x^3+3*P^2*x-2*P*x^2+x^3+P^2-6*P*x+2*x^2-2*P+3*x+1, ((x^2+x)*C-x^2-x-1)/(( x^5-x^4-x^3+x^2+x)*C-x^5+x^4+x^3-x-1), {-3*n*(n-3)*a(n)+(n-1)*(11*n-64)*a(n-1)+ (57*n^2-327*n+420)*a(n-2)+(-101*n^2+1029*n-2116)*a(n-3)+(-477*n^2+4455*n-10200) *a(n-4)+(-78*n^2+1074*n-3888)*a(n-5)+(810*n^2-8448*n+21768)*a(n-6)+(284*n^2-\ 3138*n+8116)*a(n-7)+(-612*n^2+7314*n-22440)*a(n-8)+(-256*n^2+996*n+8524)*a(n-9) +(317*n^2-5259*n+24652)*a(n-10)+(61*n^2+2391*n-26644)*a(n-11)+(-214*n^2+3996*n-\ 20720)*a(n-12)+(39*n^2-1875*n+15372)*a(n-13)+(138*n^2-3168*n+18456)*a(n-14)+(-n ^2+93*n-1052)*a(n-15)+(-102*n^2+2550*n-15792)*a(n-16)+20*(2*n-23)*(n-14)*a(n-17 ) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a( 8) = 9, a(9) = 23, a(10) = 77, a(11) = 246, a(12) = 829, a(13) = 2821, a(14) = 9782, a(15) = 34317, a(16) = 121717, a(17) = 435568}, [0, 1, 0, 1, 0, 2, 2, 9, 23, 77, 246, 829, 2821, 9782, 34317, 121717, 435568, 1570855, 5703373, 20830077 , 76474350, 282072097, 1044756747, 3884215839, 14490119655, 54223669215, 203488086666, 765634081044, 2887664107135, 10915316456251, 41344710861247, 156904251999965, 596518830691292, 2271629112356974, 8664200717562911, 33094485928332249, 126584584712946622, 484807525281526854, 1859043159596732833, 7136939822805131357, 27429016009981740814, 105525964869326537391, 406383911206122809629, 1566464666207721319343, 6043548434839040237906, 23336326169433296254636, 90183080932357361061456, 348781888349099423607848, 1349908315051211974186930, 5228321461896278120662189], 485153235520821006242384\ 1237321551118982746419050637152649641513884369412413219846539141709872610409579\ 8502480197152225261267089199973342620541202226778432895160646115312351652421896\ 1947635074681855602856787661192733813993762128261110545322190709969370374706666\ 0375496136352760143532486179918430188873908801928281894517695206512531254783476\ 5317572237143302733849259428225201799961748096364335913358733690562835247859054\ 2708499648350967566488933760204060635480867587483870944716507661541981561663252\ 0757722765567549961011272512014549798046609913849981364629518425210336839473083\ 046855531212052391] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 3} [P^2*x^3+2*P*x^4+x^5-2*P^2*x^2-3*P*x^3+2*x^3+2*P^2+2*x^2-4*P+2, ((x^3+x)*C-x^3- x-1)/(C*x+x^2-x-1), {6*n*(n-3)*a(n)-4*(n-1)*(13*n-56)*a(n-1)+(106*n^2-822*n+ 1232)*a(n-2)+(55*n^2-285*n+224)*a(n-3)-28*(n-2)*(5*n-26)*a(n-4)+(62*n^2-516*n+ 1000)*a(n-5)+(10*n^2-186*n+872)*a(n-6)-(7*n-55)*(n-8)*a(n-7)+(-5*n^2+108*n-568) *a(n-8)+2*(2*n-19)*(n-10)*a(n-9) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a (5) = 0, a(6) = 2, a(7) = 2, a(8) = 9, a(9) = 22}, [0, 1, 0, 1, 0, 2, 2, 9, 22, 74, 232, 778, 2626, 9060, 31630, 111753, 398550, 1433158, 5190096, 18912718, 69295912, 255137020, 943471148, 3502549274, 13049036148, 48772095520, 182827568336, 687199651108, 2589414721302, 9779462403016, 37012590353750, 140358730917545, 533243967477926, 2029345686786822, 7735382621632608, 29529756141571958, 112888774984360752, 432134085905621036, 1656266644367225404, 6355588891343667406, 24415601763725286068, 93894386962663405404, 361450493183041352560, 1392750107219046816780, 5371462595520658716868, 20734239816579748120120, 80101827144453811138828, 309698568315317765305706, 1198293634274787973705628, 4639812010509677554759452], 425365325737622086333028\ 7442498876643196238089076178612013053867680284909640129907097967953135189174354\ 0671356300462600498179279853334254117367721183498529770452028098722608446126345\ 7368995690805595861741941480471117476448917666569252323925555826643593142987751\ 6543825306159619245692873981380618553085750198502345812484903390535436271945210\ 9192377828204254897040331259137393263550945748994818770483672001352112588702105\ 4648411370884706201129050290325625019275676255721163117914093715755679442031488\ 0599453303736177958212338064429242609988907700068005017774093149681463181747718\ 336342490714988640] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 4} [P^2*x^8-2*P^2*x^7+P^2*x^6+2*P*x^7-P^2*x^5-P^2*x^4-2*P*x^5+x^6+4*P^2*x^3+P*x^4+ 2*x^5-P^2*x^2-6*P*x^3+x^4-P^2*x+2*x^3+P^2+2*P*x+x^2-2*P-x+1, ((-x^3-x^2)*C+x^3+ x^2+1)/((x^4-x^3-x^2)*C-x^4+x^3+1), {4*n*(n-4)*a(n)-(n-1)*(41*n-210)*a(n-1)+( 131*n^2-1073*n+1638)*a(n-2)+(-98*n^2+1160*n-2772)*a(n-3)+(-227*n^2+1667*n-2478) *a(n-4)+(580*n^2-5962*n+14712)*a(n-5)+(-309*n^2+3777*n-10902)*a(n-6)+(-289*n^2+ 3781*n-13494)*a(n-7)+(528*n^2-6918*n+23436)*a(n-8)+(-253*n^2+1279*n+5934)*a(n-9 )+(62*n^2+736*n-10128)*a(n-10)+(-46*n^2+1924*n-16872)*a(n-11)+(15*n^2-2493*n+ 26754)*a(n-12)+(45*n^2-477*n-270)*a(n-13)+(-50*n^2+1508*n-11136)*a(n-14)+(79*n^ 2-2263*n+16038)*a(n-15)+(-102*n^2+2958*n-21300)*a(n-16)+20*(2*n-27)*(n-16)*a(n-\ 17) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 8, a(9) = 19, a(10) = 61, a(11) = 186, a(12) = 607, a(13) = 2008, a(14) = 6807, a(15) = 23425, a(16) = 81748, a(17) = 288489}, [0, 1, 0, 1, 0, 2, 2, 8, 19, 61, 186, 607, 2008, 6807, 23425, 81748, 288489, 1027956, 3693145, 13363765, 48661174, 178171889, 655589386, 2422903953, 8990025420, 33476666481, 125065774215, 468626232699, 1760754510905, 6632240843027, 25039586129084, 94738132331815, 359158985116082, 1364122013586111, 5190038230619626, 19778358703375301, 75486335015192643, 288512661006118069, 1104189041295164473, 4231269711906122397, 16233650235567272544, 62352204698680067965, 239746220920091773196, 922767336810000730161, 3555094051105039614280, 13709069546516496814666, 52910747288051699116480, 204381317219024029992809, 790102491840163176373296, 3056717210482181522331117], 2702517082026192584476166\ 1091821269226575100919468133206815656960835489208197743485870461579820505247160\ 9515305250238440847150081703323050375898548982486257379828907159193234644141247\ 4023721142105442640485864215870421177273513293400963710303372367887518156054451\ 1244667261555305197917739668190077212137916900656878899504803677951508966218625\ 2986488183161264919513370128919795424751153529632354227805520836181251084853122\ 4897898020040205240207470297593773329228259763662103778748957415155964804827523\ 4858796615647329740472404324554365442844232919636761630010159363341404382834793\ 07551850944877644] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 5} [P^2*x^9-2*P^2*x^7+2*P*x^8-3*P^2*x^6+2*P*x^7+P^2*x^5+x^7+5*P^2*x^4-5*P*x^5+2*x^ 6+2*P^2*x^3-6*P*x^4+3*x^5-3*P^2*x^2-2*P*x^3+2*x^4-P^2*x+4*P*x^2+P^2+2*P*x-x^2-2 *P-x+1, (1+(-x^4-x^3-x^2)*C)/((x^5-x^3-x^2)*C-x^2+1), {5*n*(n-5)*a(n)-3*(n-1)*( 17*n-104)*a(n-1)+(147*n^2-1383*n+2208)*a(n-2)+(14*n^2+236*n-1152)*a(n-3)+(-524* n^2+5710*n-13464)*a(n-4)+(198*n^2-3252*n+10704)*a(n-5)+(921*n^2-12039*n+37884)* a(n-6)+(-175*n^2+4139*n-18756)*a(n-7)+(-1123*n^2+17591*n-69204)*a(n-8)+(-169*n^ 2+1271*n-168)*a(n-9)+(831*n^2-16581*n+84732)*a(n-10)+(449*n^2-6655*n+23004)*a(n -11)+(-388*n^2+9716*n-64452)*a(n-12)+(-248*n^2+3868*n-11088)*a(n-13)+(201*n^2-\ 6741*n+56352)*a(n-14)+(123*n^2-3249*n+22260)*a(n-15)+(-102*n^2+3570*n-30672)*a( n-16)+(-91*n^2+2987*n-24456)*a(n-17)+2*(n-12)*(n-11)*a(n-18)+20*(2*n-31)*(n-18) *a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 6, a(9) = 10, a(10) = 33, a(11) = 87, a(12) = 273, a(13) = 847, a( 14) = 2767, a(15) = 9196, a(16) = 31265, a(17) = 107918, a(18) = 377634, a(19) = 1336065}, [0, 1, 0, 1, 0, 2, 1, 6, 10, 33, 87, 273, 847, 2767, 9196, 31265, 107918, 377634, 1336065, 4771958, 17181724, 62298390, 227269994, 833584103, 3072112115, 11370651268, 42248149521, 157523174779, 589193424582, 2210183539319 , 8312873672247, 31342555397816, 118439522121230, 448503275310631, 1701675651601539, 6468033974039549, 24626351716366447, 93910275533769189, 358648305107334219, 1371602700900342478, 5252383458456264298, 20138204621121064889, 77302168738062342715, 297058498516293102499, 1142737744657447638774, 4400300016803832110343, 16960072242571689885884, 65427892786728375432439, 252621052776873130049181, 976180995865801509200910], 8226631354655703542821671629718395528733969613864375118890211053568188825790392\ 3558068419849982369308870445352419240270587447419648774562805465679430296466724\ 9288625820643496285702310824588140050491071760615113136826751859350507942628643\ 3033567139383842308343524555130062489736052990908487186046176143983957657265458\ 0423928799118641942005322700061947081667056808626480528572710531673222977665549\ 4906244031762036523091020679097146353489338054381935538861250223492843757640102\ 5202648990275359247432872644710937925473524536366130381230764555511525837001786\ 33232022322278331881114355590921326027602] ---------------------------- (A,B)= , {1, 3, 4, 5}, {2, 3} [P^2*x^9+2*P^2*x^8-P^2*x^7-2*P*x^8-6*P^2*x^6-2*P*x^7-2*P^2*x^5+4*P*x^6+x^7+8*P^ 2*x^4+6*P*x^5+5*P^2*x^3-6*P*x^4-2*x^5-5*P^2*x^2-9*P*x^3-3*P^2*x+6*P*x^2+4*x^3+2 *P^2+6*P*x-x^2-4*P-3*x+2, ((x^4-x^2+x)*C-x^4+x^2-1)/((x^5+x^4-x^3-x^2+x)*C-x^5- x^4+x^3+2*x^2-1), {-12*n*(n-3)*a(n)+2*(n-1)*(67*n-272)*a(n-1)+(-470*n^2+3372*n-\ 4888)*a(n-2)+(349*n^2-3975*n+9068)*a(n-3)+(955*n^2-7281*n+12884)*a(n-4)+(-1161* n^2+13845*n-38988)*a(n-5)+(-1054*n^2+6390*n-1208)*a(n-6)+(1196*n^2-14244*n+ 37456)*a(n-7)+(662*n^2+240*n-37496)*a(n-8)+(-144*n^2-3498*n+48468)*a(n-9)+(233* n^2-15489*n+122680)*a(n-10)+(-850*n^2+23628*n-163748)*a(n-11)+(-1104*n^2+32328* n-222792)*a(n-12)+(762*n^2-21582*n+153792)*a(n-13)+(1254*n^2-35190*n+245760)*a( n-14)+(-135*n^2+4581*n-37344)*a(n-15)+(-684*n^2+19980*n-145056)*a(n-16)+(-141*n ^2+3987*n-27912)*a(n-17)+(162*n^2-5022*n+38304)*a(n-18)+36*(2*n-27)*(n-18)*a(n-\ 19) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 28, a(9) = 71, a(10) = 197, a(11) = 584, a(12) = 1823, a(13) = 5912, a( 14) = 19729, a(15) = 67282, a(16) = 233356, a(17) = 820307, a(18) = 2915390, a( 19) = 10456451}, [0, 1, 1, 2, 3, 6, 12, 28, 71, 197, 584, 1823, 5912, 19729, 67282, 233356, 820307, 2915390, 10456451, 37795105, 137524720, 503322836, 1851529925, 6842015745, 25386261138, 94536409450, 353211795185, 1323664311702, 4974104932730, 18739085576803, 70760671204430, 267774523418596, 1015342198424697, 3857099311136810, 14677766241547136, 55944941199142611, 213559565679894205, 816383729710387669, 3125000721209049943, 11977134500438613980, 45959165689115089446, 176554847958396090733, 678968461470889551236, 2613714528884888672435, 10071247256663696861269, 38842261523687665833175, 149934977581327533269537, 579243276673839606417557, 2239557592771165748374098, 8665454787203115691140393], 771761916748840195677688\ 6690422651522277790639614445987621862900213054917350060287016942916289688956325\ 4476418079818429192107502614243272133444820663136522304343782639579719730403418\ 1286922367701956148513751830081299070620413302721287217048158101477129378520783\ 1807632732998008225053282624914130971530445961899675833279968449756202010505661\ 5892245385355870948151969064753814153489692501113882996126980016041630196585626\ 8041862590285658313103180152492259803463804606853939656704804575312545490396475\ 2079835836839465349408891925126511529330415252707965477600500652192836398391396\ 637325146140518045] ---------------------------- (A,B)= , {1, 3, 4, 5}, {2, 4} [P^2*x^10-2*P^2*x^8-2*P*x^9+2*P*x^8+x^8+3*P^2*x^5-2*x^7+3*x^6-2*P^2*x^3-5*P*x^4 -4*x^5+3*P^2*x^2+8*P*x^3+6*x^4-3*P^2*x-8*P*x^2-6*x^3+P^2+6*P*x+5*x^2-2*P-3*x+1, ((x^4-x^3+x^2)*C-x^4+x^3-x^2+x-1)/((x^5-x^3+x^2)*C-x^5+x^3+x-1), {-4*n*(n-4)*a( n)+5*(n-1)*(11*n-54)*a(n-1)+(-299*n^2+2297*n-3414)*a(n-2)+(855*n^2-7989*n+16470 )*a(n-3)+(-1492*n^2+16360*n-42408)*a(n-4)+(1737*n^2-21987*n+68034)*a(n-5)+(-\ 1282*n^2+19456*n-71760)*a(n-6)+(289*n^2-8173*n+42750)*a(n-7)+(474*n^2-3756*n+ 984)*a(n-8)+(-599*n^2+7145*n-17670)*a(n-9)+(404*n^2-1544*n-22440)*a(n-10)+(-38* n^2-8512*n+100464)*a(n-11)+(-326*n^2+14582*n-138972)*a(n-12)+(434*n^2-12818*n+ 106764)*a(n-13)+(-199*n^2+4045*n-27246)*a(n-14)+(-181*n^2+7471*n-66882)*a(n-15) +(204*n^2-7482*n+66396)*a(n-16)+(-70*n^2+2122*n-15804)*a(n-17)+(184*n^2-6052*n+ 48984)*a(n-18)+(-109*n^2+4051*n-36738)*a(n-19)+(-94*n^2+3082*n-24876)*a(n-20)+ 36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 27, a(9) = 66, a(10) = 175, a(11) = 497, a(12) = 1494, a(13) = 4695, a(14) = 15271, a(15) = 51008, a(16) = 173944, a(17) = 603000, a(18) = 2118322, a(19) = 7523409, a(20) = 26965895, a(21) = 97408833}, [0, 1, 1, 2, 3, 6, 12, 27, 66, 175, 497, 1494, 4695, 15271, 51008, 173944, 603000, 2118322, 7523409, 26965895, 97408833, 354240470, 1295807756, 4764545104 , 17599070711, 65273295554, 242986050785, 907560410965, 3400067477917, 12773324006790, 48108917800718, 181620683951005, 687141119315572, 2604946937958758, 9893793726934361, 37642881738909084, 143452917885941917, 547517042036866230, 2092700155034569116, 8009409756535385891, 30693358802540739451, 117762721292241082036, 452337319089402455397, 1739330463077977551437, 6694880699599138352812, 25794221254174898053962, 99471866285303138115771, 383934635042871175091112, 1483118171002266714377462, 5733755068460071499064057], 492874818140565739828974352106617422337977354861350\ 8675705327921393684307283603862043922153137619079839421425617878049709535138916\ 9666222847594336503383330844594920606741007308278814575772977797859151979782942\ 3292802309710204803447959852588149281792078494352605795168704714557367993770074\ 7465744371038304773159932279999961098022961183499306558039089187298972107089472\ 0074735697039215519005027394219038769357784138368036268569076876023349887111359\ 3725430396350742924597944112444564569907131597510918803036445218838496164302913\ 2409019526111001490299414409016553382568284282315064175593723948300713] ---------------------------- (A,B)= , {1, 3, 4, 5}, {2, 5} [P^2*x^11-4*P^2*x^9-2*P*x^10+2*P*x^9+7*P^2*x^7+4*P*x^8+x^9+P^2*x^6-6*P*x^7-2*x^ 8-7*P^2*x^5-4*P*x^6+x^7-P^2*x^4+7*P*x^5+2*x^6+6*P^2*x^3+4*P*x^4-x^5-8*P*x^3-2*x ^4-3*P^2*x-2*P*x^2+2*x^3+P^2+6*P*x+2*x^2-2*P-3*x+1, ((x^5-x^4+x^2)*C+x-1)/((x^6 -2*x^4+x^2)*C+x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23*n-136)*a(n-1)+(-355*n^2+ 3125*n-4860)*a(n-2)+(783*n^2-8541*n+18948)*a(n-3)+(-355*n^2+6023*n-20016)*a(n-4 )+(-1411*n^2+16115*n-42504)*a(n-5)+(1797*n^2-27645*n+99816)*a(n-6)+(1137*n^2-\ 10569*n+16512)*a(n-7)+(-2649*n^2+42615*n-167100)*a(n-8)+(-577*n^2-2245*n+61284) *a(n-9)+(2408*n^2-33244*n+87576)*a(n-10)+(239*n^2+4781*n-60504)*a(n-11)+(-1195* n^2+2873*n+128868)*a(n-12)+(-316*n^2+10760*n-109776)*a(n-13)+(-227*n^2+24145*n-\ 274332)*a(n-14)+(575*n^2-24577*n+245820)*a(n-15)+(1057*n^2-38447*n+335508)*a(n-\ 16)+(-742*n^2+29138*n-279672)*a(n-17)+(-1012*n^2+34580*n-294072)*a(n-18)+(652*n ^2-24908*n+236160)*a(n-19)+(488*n^2-17272*n+151968)*a(n-20)+(-333*n^2+12855*n-\ 123036)*a(n-21)+(-94*n^2+3458*n-31416)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 50, a(10) = 117, a(11) = 294, a(12) = 791, a(13) = 2265, a(14) = 6839, a(15) = 21557, a(16) = 70300, a(17) = 235427, a(18) = 804985, a(19) = 2798128, a(20) = 9855893, a(21) = 35093758, a(22) = 126090717, a(23) = 456513644}, [0, 1, 1, 2, 3, 6, 11, 23, 50, 117, 294, 791, 2265, 6839, 21557, 70300, 235427, 804985, 2798128, 9855893, 35093758, 126090717, 456513644, 1663690862, 6097717821, 22461416404, 83106584354, 308714506208, 1150877657629, 4304321345772, 16145710853822, 60726325804197, 228964671628597, 865261640223348 , 3276721445544125, 12433074974404468, 47261276509692403, 179956354176749395, 686303155641790952, 2621251392734296677, 10025499397434982057, 38394792521941697390, 147222778687824656705, 565176668579463564201, 2172063750886669725256, 8356315306015906308293, 32180123957745409746444, 124042280062256961907788, 478565046709579058107847, 1847918957112523865294142], 1514217560433468272473944788586884551335411224612132102859107875962074741989065\ 1216467591583912027817862709750523204822796937139244362137077049438874700928481\ 5524524976748669723609897407893405302849330601669037123788701675138958894708791\ 7052369886800885658866538558230023875896387143606944703906899765168508116063244\ 5606639036432685989755476241502984188116722243825614029962666616653875012670784\ 7719249803906958980926413322960386376643596995416156154115971044571535155612658\ 6791406103433874499418849011808141389131615219476655206232055520565657080975958\ 855343342739560458177441587733892298087555] ---------------------------- (A,B)= , {1, 3, 4, 5}, {3, 4} [P^2*x^6-2*P^2*x^5-2*P*x^6+2*P*x^5+x^6+5*P^2*x^3+3*P*x^4-2*P^2*x^2-8*P*x^3-2*x^ 4-2*P^2*x+2*P*x^2+3*x^3+P^2+4*P*x-2*P-2*x+1, (C*x^3-x^3+x-1)/(C*x^3-x^3+x^2+x-1 ), {-2*n*(n-4)*a(n)+24*(n-1)*(n-5)*a(n-1)-(97*n-196)*(n-6)*a(n-2)+(117*n^2-1287 *n+2898)*a(n-3)+(172*n^2-1300*n+2136)*a(n-4)+(-521*n^2+5762*n-15432)*a(n-5)+( 213*n^2-3039*n+10434)*a(n-6)+(411*n^2-5271*n+16902)*a(n-7)+(-387*n^2+5514*n-\ 19536)*a(n-8)+(13*n^2-241*n+1206)*a(n-9)+(61*n^2-403*n-2178)*a(n-10)+(-10*n^2-\ 296*n+4512)*a(n-11)+(32*n^2-734*n+4212)*a(n-12)-(5*n-62)*(7*n-93)*a(n-13)+6*(2* n-25)*(n-14)*a(n-14) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6 ) = 6, a(7) = 12, a(8) = 27, a(9) = 65, a(10) = 170, a(11) = 476, a(12) = 1414, a(13) = 4402, a(14) = 14217}, [0, 1, 1, 2, 3, 6, 12, 27, 65, 170, 476, 1414, 4402, 14217, 47239, 160470, 554697, 1944429, 6894374, 24679227, 89056428, 323593154, 1182875890, 4346763457, 16047897424, 59494642961, 221391957005, 826635485088, 3095996467729, 11627999553452, 43785109077572, 165263075110456, 625136201372327, 2369480581679444, 8998064695282741, 34229987804891336, 130429508010142472, 497749807893531219, 1902266559894608027, 7279797339241753432, 27894639055580020246, 107014973343007643193, 411019170995750181084, 1580327248441487032549, 6082402342554517218958, 23432791399423074018674, 90359316461282626537899, 348740706582372659398031, 1347085844009079118750544, 5207558850390406044266742], 446761265441072229267132\ 3123350510222311924058470878611368514050301807906912109383270169920794602803283\ 2924540751940291337396015984785846531281879619087914405611804183935535833465148\ 8390350081825341323007885551013280017573237134535128678026768986468046585818586\ 5365735044607334664890181520976400589317423204747217793575291169278861962463400\ 6455146171560461242485365958117783141883092946046958785395372870930139193467361\ 9692621625818871536035006220940322237120697000119417329501643701045396126919521\ 3313411333575213422831318030002206323955868716355039313563081123765218179714291\ 242859553628632148] ---------------------------- (A,B)= , {1, 3, 4, 5}, {3, 5} [P^2*x^5+2*P*x^6+x^7-2*P^2*x^4-5*P*x^5-2*x^6+3*P^2*x^3+4*P*x^4+3*x^5+P^2*x^2-2* P*x^3-x^4-3*P^2*x-4*P*x^2-x^3+P^2+6*P*x+3*x^2-2*P-3*x+1, ((-x^4+x^3-x^2)*C-x+1) /((x^3-x^2)*C-x^2-x+1), {5*n*(n-5)*a(n)-3*(n-1)*(23*n-136)*a(n-1)+(363*n^2-3183 *n+4944)*a(n-2)+(-893*n^2+9547*n-20976)*a(n-3)+(914*n^2-12196*n+35784)*a(n-4)+( 219*n^2-225*n-7392)*a(n-5)+(-1384*n^2+17498*n-52752)*a(n-6)+(1234*n^2-17744*n+ 63168)*a(n-7)+(-356*n^2+4720*n-14568)*a(n-8)+(-194*n^2+4540*n-26016)*a(n-9)+( 214*n^2-4616*n+25032)*a(n-10)+(-56*n^2+1144*n-5640)*a(n-11)+(-2*n^2+100*n-960)* a(n-12)+4*(2*n-27)*(n-14)*a(n-13) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 49, a(10) = 114, a(11) = 282, a(12) = 752, a(13) = 2136}, [0, 1, 1, 2, 3, 6, 11, 23, 49, 114, 282, 752, 2136, 6419, 20177, 65722, 220038, 752575, 2617356, 9225086, 32869376, 118173756, 428103561, 1561000315, 5724152972, 21094746474, 78081385891, 290153412992, 1082041532942, 4048096515461, 15188802201225, 57141764001633, 215499680826187, 814552975121593, 3085305677072050, 11708946241510341, 44516367758971844, 169531911150654238, 646644715759725464, 2470129761807286018, 9448758120393904485, 36190556292498041169, 138787083316668900022, 532851896891188493414, 2048049696688358780055, 7879995339964975433358, 30348682834511739932672, 116993250695875320070539, 451407809934790174706267, 1743196191181198269424947], 143294631180940971766123002598157155433440224314535\ 0642224620564254687592094202518668163588925717637318066924807635381336912206684\ 3459369385402423764506566571945453324748104913948035148185349269098915157294250\ 3267127349648797450166321205441277244859312845765206754744608801111462554141515\ 8519290109657194459317447801156487948762126172997060426647091712863615026732265\ 1261045315360306123019869894783141479851820087283896045630298962504494645984446\ 1717738167187995081594956126369715826054340105772479087577494528094859130250788\ 4741229673634327257096915717456518823019065458581053627340982019255332] ---------------------------- (A,B)= , {1, 3, 4, 5}, {4, 5} [P^2*x^9-2*P^2*x^7-P^2*x^6+2*P*x^7+3*P^2*x^4-P*x^5+3*P^2*x^3-2*P*x^4+x^5-2*P^2* x^2-4*P*x^3-2*P^2*x+2*P*x^2+x^3+P^2+4*P*x-2*P-2*x+1, (-C*x^3-x+1)/((x^5-x^3)*C- x^2-x+1), {5*n*(n-5)*a(n)-60*(n-1)*(n-6)*a(n-1)+3*(81*n-164)*(n-7)*a(n-2)+(-305 *n^2+3589*n-8352)*a(n-3)+(-304*n^2+2684*n-4752)*a(n-4)+(789*n^2-10359*n+31068)* a(n-5)+(177*n^2-1089*n-696)*a(n-6)+(-755*n^2+11599*n-42816)*a(n-7)+(-188*n^2+ 2902*n-10956)*a(n-8)+(132*n^2-4974*n+32628)*a(n-9)+(336*n^2-5118*n+17436)*a(n-\ 10)+(193*n^2-899*n-8724)*a(n-11)+(-247*n^2+3449*n-9396)*a(n-12)+(-71*n^2+379*n+ 5040)*a(n-13)+(72*n^2-1380*n+6672)*a(n-14)+(27*n^2-549*n+2580)*a(n-15)-6*(7*n-\ 100)*(n-17)*a(n-16)-2*(7*n-92)*(n-15)*a(n-17)+12*(2*n-29)*(n-16)*a(n-18) = 0, a (1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 22 , a(9) = 46, a(10) = 103, a(11) = 247, a(12) = 639, a(13) = 1775, a(14) = 5249, a(15) = 16336, a(16) = 52908, a(17) = 176633, a(18) = 603426}, [0, 1, 1, 2, 3, 6, 11, 22, 46, 103, 247, 639, 1775, 5249, 16336, 52908, 176633, 603426, 2098236 , 7397693, 26372721, 94877317, 343934279, 1254891006, 4604415826, 16977716828, 62874621154, 233754843631, 872098436478, 3263970080439, 12251214361452, 46106004729808, 173935358711577, 657640024977570, 2491643957162794, 9458375668381118, 35968494538925991, 137009689680257558, 522705323372069226, 1997086717160502277, 7640695841317281747, 29270486191883036317, 112268019875275374640, 431103982280691117988, 1657223096269372034678, 6377172210044508896019, 24564091057383718546273, 94706004383661854916411, 365459296073776736738974, 1411454930031779118657455], 1165794912258075179164365\ 8366509136656453182543928978536805144473622850925482575354978640970469084399493\ 6309826115947389870374540969920314806252972083776144509039235294998745582500320\ 7675644430580998816384486673076003574373187878312918852391578200396776503151662\ 5485636684539705005805267690839974151794038242016424545203370251885001217293924\ 6686485974481519888892542681057580258224570800968917565264665932143990532018461\ 1771724169306686409189373551047546639826872488784173566243925225699523045146329\ 6454664023212823502136625946805980474879831926500543724237452935665600938268299\ 41171709697028735] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 2, 3} [P^2*x^9-2*P^2*x^7-2*P^2*x^6+4*P^2*x^5+4*P^2*x^4-2*P*x^5-3*P^2*x^3-2*P*x^4-4*P^ 2*x^2+3*P*x^3+P^2*x+4*P*x^2+2*P^2-2*P*x-4*P+x+2, (C*x-x-1)/((x^5-x^3+x)*C-x^5+x ^3+x^2-x-1), {-6*n*(n-3)*a(n)+(n-1)*(47*n-208)*a(n-1)+(-55*n^2+504*n-800)*a(n-2 )+(-197*n^2+1485*n-2548)*a(n-3)+(113*n^2-1206*n+2704)*a(n-4)+(377*n^2-3237*n+ 6700)*a(n-5)+(-82*n^2+1122*n-3344)*a(n-6)+(-412*n^2+3600*n-6836)*a(n-7)+(26*n^2 -672*n+3424)*a(n-8)+(218*n^2-1920*n+2692)*a(n-9)+(7*n^2+636*n-5008)*a(n-10)+(-\ 64*n^2+258*n+1708)*a(n-11)+(16*n^2-750*n+5312)*a(n-12)+(5*n^2+105*n-1352)*a(n-\ 13)+(-20*n^2+474*n-2752)*a(n-14)-3*(n-9)*(n-12)*a(n-15)+6*(2*n-21)*(n-12)*a(n-\ 16) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 9, a(9) = 22, a(10) = 73, a(11) = 228, a(12) = 760, a(13) = 2558, a(14) = 8802, a(15) = 30676, a(16) = 108227}, [0, 1, 0, 1, 0, 2, 2, 9, 22, 73, 228, 760, 2558, 8802, 30676, 108227, 385552, 1385169, 5012608, 18254637, 66849586, 246018925, 909397084, 3374894790, 12569643888, 46967682529, 176021175142, 661473095440, 2491987738418, 9409836834707, 35607885974518, 135011782251673, 512860124143504, 1951526142741911, 7437887401281160, 28391005687115769, 108524569552710008, 415389179915249808, 1591948145032051078, 6108279130720870133, 23463733414060658664, 90227290129553243796, 347310191486687753874, 1338178346029361129875, 5160680557704514560922, 19919460574292467351007, 76949927304571854880056, 297496956103793125756812, 1151026259991893013716086, 4456583503341899276729384], 407833721656793062953460\ 4683339216097745704364566076151868314614535478001950791378603468334583675615418\ 6948924605238701142351172656872038481540169816826077607246561892278406824404268\ 6178618745098529051064449328653228238383459458905106363432736826756467569221974\ 0929655205862167980908574551188446441279162837915415297363530470739169213346659\ 7274940461373588247900989062691513194544280083672862270838728106552416373373157\ 5402773028195589119787597510078744349635648448524022038114153735870808179524086\ 7908598124413525838764843923823067838293698286055721117261686174757533147225867\ 034569948291314477] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 2, 4} [P^2*x^10-2*P^2*x^9+P^2*x^8+P^2*x^6-2*P*x^7+P^2*x^5+2*P*x^6-3*P^2*x^4-2*P*x^5+2 *P^2*x^3+3*P*x^4-2*P*x^3+x^4-P^2*x-2*P*x^2+P^2+2*P*x+2*x^2-2*P-x+1, (C*x^2-x^2-\ 1)/((x^5-x^4+x^2)*C-x^5+x^4-1), {-4*n*(n-4)*a(n)+(n-1)*(41*n-210)*a(n-1)+(-137* n^2+1109*n-1686)*a(n-2)+(165*n^2-1695*n+3774)*a(n-3)+(-17*n^2+761*n-3330)*a(n-4 )+(-311*n^2+2501*n-4134)*a(n-5)+(509*n^2-5081*n+11598)*a(n-6)+(-321*n^2+3525*n-\ 7830)*a(n-7)+(-64*n^2+1510*n-10644)*a(n-8)+(260*n^2-4634*n+24648)*a(n-9)+(-236* n^2+2450*n-7884)*a(n-10)+(121*n^2+1817*n-23406)*a(n-11)+(-29*n^2-3733*n+38370)* a(n-12)+(-34*n^2+2926*n-27348)*a(n-13)+(20*n^2-512*n+3336)*a(n-14)+(31*n^2-1171 *n+9510)*a(n-15)+(-92*n^2+2360*n-15048)*a(n-16)+(157*n^2-4249*n+28674)*a(n-17)+ (-126*n^2+3594*n-25500)*a(n-18)+20*(2*n-27)*(n-16)*a(n-19) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 8, a(9) = 19, a( 10) = 60, a(11) = 182, a(12) = 591, a(13) = 1950, a(14) = 6598, a(15) = 22681, a(16) = 79092, a(17) = 278980, a(18) = 993741, a(19) = 3569411}, [0, 1, 0, 1, 0 , 2, 2, 8, 19, 60, 182, 591, 1950, 6598, 22681, 79092, 278980, 993741, 3569411, 12914006, 47018411, 172144241, 633379006, 2340743912, 8685004189, 32340498630, 120820687903, 452720232739, 1700999512642, 6407209264652, 24190222323281, 91525527595544, 346983881538513, 1317896250357730, 5014229330756663, 19108633338749682, 72931225230044067, 278750618392240877, 1066842124921539404, 4088209391511673551, 15684989230559600439, 60245605847931316629, 231649168962345424479, 891613199591495670277, 3435109218159487432835, 13246541093993146491369, 51126179246409777364707, 197490151563380303593840, 763470678841742867110150, 2953716111453621518216149], 2612995750800455236252546\ 5372440686732995911051814830724764261719034836364466784125804780386023265195341\ 6221583794582333519362744656215766936359138225498581582902186492651929366999389\ 1727523759335109384412187427771027995699861198222646913542184235588266996288606\ 9241529103230133458330041646380376857784260587049474897183683092744425376360640\ 3279823717666436295164655148330280189710987062913265991443194256264124569479229\ 6327540729916943536533983801864963684904714247003992422314218073813293237925669\ 6003118094292898455504471946497514260718250064473158721352838833565252029407189\ 47679905680301091] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 2, 5} [P^2*x^11-2*P^2*x^10-P^2*x^9+4*P^2*x^8+2*P^2*x^7-2*P*x^8-5*P^2*x^6-3*P^2*x^5+4* P*x^6+5*P^2*x^4+P*x^5+3*P^2*x^3-6*P*x^4+x^5-3*P^2*x^2-4*P*x^3+2*x^4-P^2*x+4*P*x ^2+x^3+P^2+2*P*x-x^2-2*P-x+1, (-1+(x^3+x^2)*C)/((x^6-x^5-x^4+x^3+x^2)*C+x^2-1), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)+(-147*n^2+1383*n-2208)*a(n-2)+(-21*n ^2-183*n+1056)*a(n-3)+(590*n^2-6370*n+15048)*a(n-4)+(-346*n^2+5222*n-16848)*a(n -5)+(-1105*n^2+13571*n-40452)*a(n-6)+(864*n^2-13908*n+53052)*a(n-7)+(1375*n^2-\ 18491*n+61836)*a(n-8)+(-1090*n^2+19310*n-84492)*a(n-9)+(-1269*n^2+16941*n-50868 )*a(n-10)+(915*n^2-16563*n+74196)*a(n-11)+(818*n^2-8770*n+4836)*a(n-12)+(-674*n ^2+10864*n-41808)*a(n-13)+(-161*n^2-1355*n+40920)*a(n-14)+(348*n^2-5982*n+23148 )*a(n-15)+(-212*n^2+7546*n-65040)*a(n-16)+(-102*n^2+2124*n-10116)*a(n-17)+(224* n^2-7150*n+57216)*a(n-18)+(-9*n^2+321*n-2952)*a(n-19)+(-102*n^2+3366*n-27624)*a (n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 6, a(9) = 10, a(10) = 32, a(11) = 85, a(12 ) = 264, a(13) = 821, a(14) = 2680, a(15) = 8919, a(16) = 30348, a(17) = 104865 , a(18) = 367270, a(19) = 1300449, a(20) = 4647962, a(21) = 16745416}, [0, 1, 0 , 1, 0, 2, 1, 6, 10, 32, 85, 264, 821, 2680, 8919, 30348, 104865, 367270, 1300449, 4647962, 16745416, 60748316, 221717044, 813544667, 2999324598, 11104749029, 41271791582, 153921645336, 575853386170, 2160587360279, 8127856530076, 30650216058162, 115841420880614, 438728124916635, 1664809061793224, 6328684190705762, 24098546639198467, 91907315983717748, 351033726425876483, 1342606312937469715, 5141792327264740562, 19715795436985723095, 75686527009729076445, 290870919914257120956, 1119011523052746216357, 4309216569793547606305, 16610025111939041479956, 64081210862614194602598, 247435057479930488644054, 956191280380173740080585], 8074212671703694845512316680186821109620338181600493015040254686539618802808979\ 8977573101007779568619193946109761770420498769564903362768656410392387366485430\ 9631825648660838628058107849380631190784247810755523047793754751150471837137169\ 1455634277271754701101748455552651370948102695799657768152628821980859247021958\ 0107166024970023493360789086800682392351034243310868750856357472969963198260212\ 8646732997338379065936246664553299477097827908633744735237457573544227467313251\ 2277177888549002035046559264358583039433732774440553977158449845650266254232582\ 47702626851867083076922281856652622636088] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 3, 4} [P^2*x^6-2*P^2*x^5-2*P*x^6+2*P^2*x^4+2*P*x^5+x^6+2*P^2*x^3-P*x^4-3*P^2*x^2-4*P* x^3+4*P*x^2+2*x^3+P^2-x^2-2*P+1, (C*x^3-x^3-1)/(C*x^3-x^3+x^2-1), {-2*n*(n-4)*a (n)+(n-1)*(17*n-90)*a(n-1)+(-28*n^2+262*n-420)*a(n-2)+(-74*n^2+572*n-972)*a(n-3 )+(182*n^2-1790*n+4068)*a(n-4)+(3*n^2+57*n-378)*a(n-5)+(-290*n^2+3422*n-10068)* a(n-6)+(208*n^2-2674*n+8688)*a(n-7)+(62*n^2-998*n+3972)*a(n-8)+(-130*n^2+1666*n -4428)*a(n-9)+2*(n+6)*(22*n-223)*a(n-10)+(-26*n^2+398*n-1236)*a(n-11)+(48*n^2-\ 1206*n+7572)*a(n-12)-(5*n-62)*(7*n-93)*a(n-13)+6*(2*n-25)*(n-14)*a(n-14) = 0, a (1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 8, a(9) = 18, a(10) = 57, a(11) = 170, a(12) = 550, a(13) = 1804, a(14) = 6086}, [ 0, 1, 0, 1, 0, 2, 2, 8, 18, 57, 170, 550, 1804, 6086, 20864, 72619, 255754, 909915, 3265104, 11803486, 42946018, 157144099, 577903650, 2134816772, 7917993004, 29474710388, 110082443988, 412376788463, 1549057802398, 5833663627325, 22020639442216, 83302362793845, 315759098350500, 1199126437710154, 4561736062123934, 17382100045325788, 66334086077444166, 253508921382459453, 970141121944233626, 3717304232495677427, 14260738200801874774, 54770703007564951031, 210581870437219978356, 810468169208581556880, 3122274238514465513506, 12039422124543181018007, 46464433215970565456574, 179472653801135675579630, 693780380982773039530140, 2683962185107447956513580], 236998851236976215322161468555671128806928492974957\ 6758124096173079603805440790521459102471819251214223215943714056538362929473380\ 7898453744350197361844297519001689536157040350619019185054176665212333257899142\ 9975032396017818643911046895533181460511111606800479376717539424705715466905438\ 0783794094408544962572885951552794378502251093458269715019433143930707044838450\ 3176693731840468337634204931419176714770256653811799271047237733037446467465557\ 2022326893656293899210010260518549628746279209017131981102835137710290702447326\ 5054300338876970967668680286311867179798947392065130970527740506234429] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 3, 5} [x^7+P^2*x^4-3*P*x^5+2*P^2*x^3+2*x^5-2*P^2*x^2-2*P*x^3-P^2*x+2*P*x^2+P^2+2*P*x-\ 2*P-x+1, (-1+(x^4+x^2)*C)/(C*x^2+x^2-1), {5*n*(n-5)*a(n)-3*(n-1)*(17*n-104)*a(n -1)+(155*n^2-1441*n+2292)*a(n-2)+(-61*n^2+953*n-2628)*a(n-3)+(-355*n^2+3593*n-\ 7680)*a(n-4)+(394*n^2-4922*n+13920)*a(n-5)+(136*n^2-1616*n+4416)*a(n-6)+(-257*n ^2+3967*n-14532)*a(n-7)+(-162*n+1344)*a(n-8)+(10*n^2-14*n-1032)*a(n-9)+3*(n-12) *(7*n-89)*a(n-10)+6*(n-12)*(2*n-25)*a(n-11) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 6, a(9) = 9, a(10) = 31, a(11) = 78}, [0, 1, 0, 1, 0, 2, 1, 6, 9, 31, 78, 248, 762, 2501, 8313, 28339, 97987, 343550, 1217433, 4354660, 15699284, 56987858, 208104463, 763965651, 2817762767, 10436617705, 38802374494, 144758682359, 541732046820, 2033112192169, 7650202948049, 28855557628540, 109081558009484, 413207106928657, 1568251121393864, 5962633163695974, 22708275673843813, 86617897528567574, 330877061839712498, 1265677714535194810, 4847773262390942107, 18590555056113792649, 71374673414607317109, 274328422074524524783, 1055474257259096431986, 4064918241799309163505, 15669753830391743794822, 60458743289302088692317, 233466419414313213183665, 902279599683331286903190], 7642355435882006282323478726330492683463381353006879103927655703372642478117957\ 7295197925485262856924919042891388250997693643984294720860764410362316900617437\ 1673995353436496187964586978575584771930905987536161047566759981209948889376281\ 7814016921361293650118427620656784208489162588922468170053955055739145640023795\ 9379814953430582526604173850729650589374588720067562189440109043207767041812929\ 8949373289230570748752031045737807328712050104311376406134637390239297446763279\ 6160788047941228273307077172831934522943158018469735220630420829458193579622528\ 01579741821059425439304144226574828727012] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 4, 5} [P^2*x^9-2*P^2*x^8-P^2*x^7+2*P*x^8+P^2*x^6+2*P^2*x^5-4*P*x^6+x^7+3*P^2*x^4-3*P* x^5+2*x^6-P^2*x^3-2*P*x^4+x^5-3*P^2*x^2+2*P*x^3+4*P*x^2-x^3+P^2-x^2-2*P+1, (1+( -x^4-x^3)*C)/((x^5-x^4-x^3)*C-x^2+1), {5*n*(n-5)*a(n)-6*(n-1)*(7*n-44)*a(n-1)+( 67*n^2-695*n+1152)*a(n-2)+(171*n^2-1557*n+2856)*a(n-3)+(-282*n^2+3354*n-8328)*a (n-4)+(-398*n^2+4564*n-12432)*a(n-5)+(415*n^2-5735*n+18372)*a(n-6)+(534*n^2-\ 8022*n+29928)*a(n-7)+(-85*n^2+2543*n-14268)*a(n-8)+(-392*n^2+7990*n-40140)*a(n-\ 9)+(-337*n^2+2795*n+2628)*a(n-10)+(214*n^2-4928*n+31392)*a(n-11)+(216*n^2-1644* n-9300)*a(n-12)+(-120*n^2+3468*n-26844)*a(n-13)+(-49*n^2+35*n+8304)*a(n-14)+(42 *n^2-1560*n+14172)*a(n-15)+(112*n^2-3326*n+24936)*a(n-16)+(-9*n^2+321*n-2952)*a (n-17)+(-102*n^2+3366*n-27624)*a(n-18)+20*(2*n-31)*(n-18)*a(n-19) = 0, a(1) = 0 , a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 5, a(9) = 8, a(10) = 25, a(11) = 64, a(12) = 198, a(13) = 612, a(14) = 1997, a(15) = 6651 , a(16) = 22669, a(17) = 78476, a(18) = 275363, a(19) = 976739}, [0, 1, 0, 1, 0 , 2, 1, 5, 8, 25, 64, 198, 612, 1997, 6651, 22669, 78476, 275363, 976739, 3496643, 12616031, 45828661, 167464081, 615139107, 2270075622, 8412236123, 31290142155, 116781806065, 437201871157, 1641394214326, 6178273085263, 23310732537414, 88145642266623, 333988898795287, 1267906016287305, 4821808178088826, 18367505338074726, 70074850573788218, 267734639000330616, 1024329462577789957, 3924037193546183312, 15050587780190162303, 57792547875663307396, 222157874020493517373, 854867086045433273259, 3292758561858205157171, 12694764591303779704035, 48986168339411196807408, 189185696319506650507027, 731227191157090585127585], 62218407073179500092098086\ 8862157217260764710868468191479737285016331294722244921755379890348638464668016\ 6199953465773939612955627765652183502312170898329098508224928315129883049941341\ 8140749446972806598226967474707852251293277396366532808973344538039015722659426\ 0037917935127087762467026774715073744161660438062846874895854578209431225843821\ 9876565250789335779243493739238326433275258961285844212457441404536314372462343\ 9953118058404351182611115256588588716472313736462864856212323429294974800842622\ 4861846307879929597575466441372097274554310039499945737144347741479362820527500\ 836937308683938] ---------------------------- (A,B)= , {1, 3, 4, 5}, {2, 3, 4} [P^2*x^10+2*P^2*x^9+P^2*x^8-2*P*x^9-2*P^2*x^7-2*P*x^8-3*P^2*x^6+x^8+2*P^2*x^5+4 *P*x^6+3*P^2*x^4+P^2*x^3-5*P*x^4-2*x^5-P^2*x^2+3*x^4-2*P^2*x-x^3+P^2+4*P*x+x^2-\ 2*P-2*x+1, (C*x^4-x^4+x-1)/((x^5+x^4)*C-x^5-x^4+x^2+x-1), {-4*n*(n-4)*a(n)+48*( n-1)*(n-5)*a(n-1)+(-200*n^2+1592*n-2400)*a(n-2)+(316*n^2-3208*n+6960)*a(n-3)-24 *(n-5)*(3*n-38)*a(n-4)+(-119*n^2+1553*n-4110)*a(n-5)+(-202*n^2+2128*n-5400)*a(n -6)+(47*n^2-2513*n+14286)*a(n-7)+(441*n^2-3417*n-714)*a(n-8)+(-30*n^2+768*n-\ 1584)*a(n-9)+(-194*n^2+584*n+12168)*a(n-10)+(-58*n^2-1130*n+16956)*a(n-11)+(-\ 101*n^2+5765*n-57702)*a(n-12)+(-136*n^2+6220*n-53112)*a(n-13)+(138*n^2-4548*n+ 37368)*a(n-14)+(400*n^2-13132*n+106968)*a(n-15)+(128*n^2-4634*n+40596)*a(n-16)+ (-337*n^2+11179*n-92442)*a(n-17)+(-220*n^2+7216*n-59040)*a(n-18)+(83*n^2-2921*n +25470)*a(n-19)+(162*n^2-5670*n+48996)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 12, a(8) = 27, a(9) = 65, a(10) = 169, a(11) = 470, a(12) = 1387, a(13) = 4296, a(14) = 13825, a(15) = 45829, a(16) = 155452, a(17) = 536875, a(18) = 1880981, a(19) = 6667477, a(20) = 23863462, a(21) = 86107158}, [0, 1, 1, 2, 3, 6, 12, 27, 65, 169, 470, 1387, 4296, 13825, 45829, 155452, 536875, 1880981, 6667477, 23863462, 86107158, 312872608, 1143706973, 4202973004, 15517723180, 57531962428, 214099454621, 799448181925, 2994325252395, 11246701682474, 42351374775052, 159858961515256, 604720970664973, 2292196762242531, 8704931699055357, 33116139171317926, 126189937528090683, 481587425546356189, 1840559544709197802, 7043874015247207585, 26991448842943982970, 103552971112599444913, 397733434399414763336, 1529285345615664349408, 5886099828572960285871, 22677074006671768154033, 87447218333007829387152, 337509002374047470069571, 1303728784979482780487764, 5040052529562924137834284], 432790786206262350347775\ 1332142188714191943762486171024822102918484184497577871599670720298424386441846\ 9704163294266440448101474082746113067308286699554491670346097007942161033883129\ 9165281399105420431646818609739822089224099156520271316677950897509707944039255\ 7509411254565047053390633663458972142262053189136940803656761307839523955901463\ 9651415565169317506884468067469955042397071925602115102077937587417293370933603\ 4622582649137261322135519846395477298661035838029365209488080917404003378530169\ 8081066871614484173009906243718845295524551304954954738380872309059677949703226\ 608306208732618939] ---------------------------- (A,B)= , {1, 3, 4, 5}, {2, 3, 5} [P^2*x^11+2*P^2*x^10-P^2*x^9-2*P*x^10-4*P^2*x^8-2*P*x^9+2*P^2*x^7+4*P*x^8+x^9+6 *P^2*x^6+2*P*x^7-2*P^2*x^5-8*P*x^6-2*x^7-4*P^2*x^4-P*x^5+2*x^6+4*P^2*x^3+8*P*x^ 4+2*x^5+P^2*x^2-4*P*x^3-3*x^4-3*P^2*x-4*P*x^2+P^2+6*P*x+3*x^2-2*P-3*x+1, ((x^5- x^3+x^2)*C+x-1)/((x^6+x^5-x^4-x^3+x^2)*C+x^2+x-1), {-5*n*(n-5)*a(n)+3*(n-1)*(23 *n-136)*a(n-1)+(-363*n^2+3183*n-4944)*a(n-2)+(886*n^2-9494*n+20880)*a(n-3)+(-\ 824*n^2+11332*n-33768)*a(n-4)+(-630*n^2+5046*n-6432)*a(n-5)+(2091*n^2-28065*n+ 90660)*a(n-6)+(-1091*n^2+20941*n-92580)*a(n-7)+(-1537*n^2+16655*n-33708)*a(n-8) +(1883*n^2-31147*n+121632)*a(n-9)+(395*n^2+4391*n-74028)*a(n-10)+(-1186*n^2+ 11276*n+22620)*a(n-11)+(-39*n^2-3639*n+32820)*a(n-12)+(112*n^2+12616*n-179040)* a(n-13)+(532*n^2-17768*n+157224)*a(n-14)+(357*n^2-17955*n+181428)*a(n-15)+(-954 *n^2+33834*n-299400)*a(n-16)+(-341*n^2+12463*n-110556)*a(n-17)+(914*n^2-33130*n +299736)*a(n-18)+(265*n^2-9335*n+82404)*a(n-19)+(-492*n^2+18300*n-169344)*a(n-\ 20)+(-141*n^2+5115*n-46116)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)* (n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 23, a(9) = 49, a(10) = 113, a(11) = 278, a(12) = 736, a(13) = 2082, a(14) = 6240, a(15) = 19596, a(16) = 63828, a(17) = 213811, a(18) = 731829, a(19) = 2547268, a(20) = 8985018, a(21) = 32036554, a(22) = 115251312, a(23) = 417744032}, [0, 1, 1, 2, 3, 6, 11, 23, 49, 113, 278, 736, 2082, 6240, 19596, 63828, 213811, 731829, 2547268, 8985018, 32036554, 115251312, 417744032, 1523949626, 5590605414, 20610078495, 76311817430, 283658031238, 1058086234915, 3959372414597, 14858934349664, 55911103848259, 210893944025201, 797266598161088 , 3020255452660040, 11463564496125462, 43588676084426590, 166017428560481615, 633304846439186314, 2419405356500585320, 9255558580784454454, 35453547833679816437, 135971463465670196550, 522080489308845442346, 2006789346447835923126, 7721752716118761381846, 29741086819540949356987, 114657748051359497448579, 442421217175653702435981, 1708583437119376873209164], 1407253597585066388759585618174813990935048807177088221949367257941449084463272\ 2052444214018878874191150051604884030914918426592387065807648029329436930821286\ 3308153130496210108994581340911323033001754297304417930112075581399598723119407\ 3080256639962595644098317280983073776014889164676637297086274356597479202320421\ 3772923655627573307653143491525474235584621065315091436063548179236340183556736\ 8302506222168274041975846644014779023752067039087045019028595089538296417409555\ 1727792852661625747154030054162730482410424277447253063129611635665282285969108\ 237941980280959349851979107929066912265854] ---------------------------- (A,B)= , {1, 3, 4, 5}, {2, 4, 5} [P^2*x^11-2*P^2*x^9-2*P*x^10+2*P^2*x^8+2*P*x^9+2*P^2*x^7+x^9-P^2*x^6-4*P*x^7-2* x^8-P^2*x^5+2*P*x^6+3*x^7+P^2*x^4-P*x^5-2*x^6+4*P^2*x^3+2*P*x^4+2*x^5-2*P^2*x^2 -6*P*x^3-2*x^4-2*P^2*x+2*P*x^2+2*x^3+P^2+4*P*x-2*P-2*x+1, ((x^5-x^4+x^3)*C+x-1) /((x^6-x^4+x^3)*C+x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)-3*(81*n-164) *(n-7)*a(n-2)+(298*n^2-3536*n+8256)*a(n-3)+(388*n^2-3488*n+6624)*a(n-4)+(-1133* n^2+14305*n-42192)*a(n-5)+(312*n^2-5442*n+22236)*a(n-6)+(867*n^2-13473*n+50580) *a(n-7)+(-374*n^2+9418*n-51924)*a(n-8)+(-349*n^2+2663*n+7152)*a(n-9)+(-96*n^2-\ 1326*n+15876)*a(n-10)+(463*n^2+1255*n-64776)*a(n-11)+(88*n^2-7358*n+84792)*a(n-\ 12)+(-329*n^2+613*n+31380)*a(n-13)+(-61*n^2+11105*n-140940)*a(n-14)+(118*n^2-\ 4412*n+48396)*a(n-15)+(5*n^2-3031*n+42132)*a(n-16)+(276*n^2-8220*n+61104)*a(n-\ 17)+(-272*n^2+9874*n-89472)*a(n-18)+(-150*n^2+4638*n-34752)*a(n-19)+4*(94*n-\ 1605)*(n-20)*a(n-20)+(-109*n^2+4487*n-45276)*a(n-21)+(-94*n^2+3458*n-31416)*a(n -22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a( 5) = 3, a(6) = 6, a(7) = 11, a(8) = 22, a(9) = 46, a(10) = 102, a(11) = 243, a( 12) = 625, a(13) = 1729, a(14) = 5103, a(15) = 15875, a(16) = 51439, a(17) = 171883, a(18) = 587798, a(19) = 2045909, a(20) = 7219593, a(21) = 25757572, a( 22) = 92725147, a(23) = 336320581}, [0, 1, 1, 2, 3, 6, 11, 22, 46, 102, 243, 625, 1729, 5103, 15875, 51439, 171883, 587798, 2045909, 7219593, 25757572, 92725147, 336320581, 1227697359, 4506484825, 16622514959, 61578232443, 228997433118, 854555304001, 3198999736794, 12009667712732, 45204848588706, 170562709603267, 644981225437968, 2444005445708514, 9278664369338843, 35289036836537609, 134435462036197558, 512933749139128387, 1959928269119777374, 7499157439086190448, 28730518187294755320, 110205032668610323700, 423211357730297707076, 1626988247707553325359, 6261208085644540806206, 24118804338601851435665, 92994298369737652297011, 358872606491700992072299, 1386084317760677109404698], 114691270197894704092052102021730741124760793034459\ 8545337299800168407218126210478995615785266465939405740995333688776328281115177\ 0803855825951841051605165806245169382832090780962899973389809813242343038885671\ 8956025687677323443796347165366448318167504329469990801895717564701277364785202\ 3753249064830937084124739181839204401853686594424868663779716187875181553424462\ 6829535100239587606371057311217298430378074281390403879909158705107940837882657\ 7290114359206033834317239978990507105354175293296866063714130593116507639567006\ 1262421360516033982633670570702958477165603732444050687509247792834147] ---------------------------- (A,B)= , {1, 3, 4, 5}, {3, 4, 5} [P^2*x^7-2*P*x^7+P^2*x^5+x^7+2*P^2*x^4-P*x^5+P^2*x^3-2*P*x^4-P^2*x^2+x^4-2*P^2* x-x^3+P^2+4*P*x+x^2-2*P-2*x+1, (C*x^4+x-1)/(C*x^4+x^2+x-1), {-5*n*(n-5)*a(n)+60 *(n-1)*(n-6)*a(n-1)+(-251*n^2+2251*n-3528)*a(n-2)+(401*n-1269)*(n-8)*a(n-3)+(-\ 93*n^2+1761*n-6696)*a(n-4)-(193*n-656)*(n-9)*a(n-5)+(-160*n^2+1766*n-4788)*a(n-\ 6)+(160*n^2-2768*n+10968)*a(n-7)+(215*n^2-2521*n+6444)*a(n-8)+(-106*n^2+92*n+ 7716)*a(n-9)+(72*n^2+108*n-8064)*a(n-10)+(-66*n^2+1728*n-11556)*a(n-11)+(4*n^2-\ 92*n+720)*a(n-12)+(11*n^2-577*n+5748)*a(n-13)+2*(11*n-156)*(n-17)*a(n-14)-2*(7* n-92)*(n-15)*a(n-15)+12*(2*n-29)*(n-16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a(7) = 11, a(8) = 22, a(9) = 45, a(10) = 99, a (11) = 233, a(12) = 594, a(13) = 1633, a(14) = 4803, a(15) = 14920, a(16) = 48340}, [0, 1, 1, 2, 3, 6, 11, 22, 45, 99, 233, 594, 1633, 4803, 14920, 48340, 161624, 553208, 1927363, 6807517, 24307643, 87570150, 317828942, 1160855070, 4263256111, 15732283464, 58303199438, 216894143144, 809643878470, 3031737195989 , 11384670991346, 42862433630526, 161759437788865, 611813168497384, 2318747584482650, 8804616219635255, 33491389848078440, 127605942762582704, 486942618794758493, 1860854093192209989, 7120931148239607510, 27284550133779393510, 104669685850656191960, 401994711278831614409, 1545569607672081819945, 5948414309014238018136, 22915837330131340388409, 88363169233952721905961, 341026822217351123195086, 1317254028019969106947587], 1093042635760654247006296958617354528638220165227080473232101811078580513171969\ 1965444154454199909764189408892965712679736188282603261821282676181022791601934\ 9181146027140967556662559133901072146694084737986079066389457189694739500246975\ 4699093319465457649054368698616819027087381921689333016097230388229443082358208\ 3904501281030665997358594146222470118947449941042132399898474842459932494083810\ 0776814411685679879746080622782765120315542794118171999385978221829595893810700\ 2623502614038962643948891525330788041012563097803392705972020570036399828935821\ 022820960326993796605736011506578242870777] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^7+P^2*x^6+2*P^2*x^5-2*P*x^5+P*x^4-2*P^2*x^2+2*P*x^2+P^2-2*P+1 , -1/(C*x^5-x^5+x^2-1), {-2*n*(n-4)*a(n)+(n-1)*(17*n-90)*a(n-1)+(-31*n^2+280*n-\ 444)*a(n-2)+(-43*n^2+325*n-510)*a(n-3)+(90*n^2-882*n+1908)*a(n-4)+2*(7*n-33)*(n -10)*a(n-5)+(-9*n^2+396*n-1980)*a(n-6)+(-45*n^2+375*n-246)*a(n-7)+(-85*n^2+688* n-1044)*a(n-8)+(93*n^2-873*n+1494)*a(n-9)+(36*n^2-504*n+1680)*a(n-10)+(-25*n^2+ 517*n-2190)*a(n-11)+(-28*n^2+130*n+540)*a(n-12)+(-3*n^2-27*n+462)*a(n-13)+(12*n ^2-102*n-84)*a(n-14)-(n-10)*(n-12)*a(n-16)+2*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 2, a(8) = 8, a(9) = 18, a(10) = 56, a(11) = 166, a(12) = 534, a(13) = 1748, a(14) = 5889, a(15) = 20178, a(16) = 70210, a(17) = 247244}, [0, 1, 0, 1, 0, 2, 2, 8, 18, 56, 166, 534, 1748, 5889, 20178, 70210, 247244, 879614, 3156452, 11411268, 41521588, 151942450, 558814076, 2064444171, 7657508634, 28506943612, 106474749712, 398886093834, 1498466672778, 5643445344565, 21303702388604, 80594148236916, 305507564663336, 1160245578741063, 4414006388736102, 16819844772989206, 64190766071597384, 245326419199341308, 938859265400581124, 3597555446633752718, 13801762408181994748, 53009461259602299114, 203815878180881725972, 784448470585744348767, 3022111067311597420718, 11653475351232417262382, 44975962281727448115752, 173727146888325985082594, 671584411400353022913142, 2598147511449606233927931], 229632277982043164003783572181489187863671899919495\ 4110608751045191589089470121362725881724826989887410546088788866441479402734300\ 2790763086960306668886501169545777678933783532966189183189304192700962106831562\ 6372958369570868762492656130431333194784459141771605017587782695015767304376214\ 7766422789282366304000773158563641904078160583469307223039380904234460226215972\ 4568951897512473038438098099994662818674066810768610083549961042727192645049695\ 4423120654232213323180779455161029842306268844073226964441872696328795640133720\ 4102543590635776323633270316011890903947839582362008843209914764369376] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 2, 3, 5} [P^2*x^11-2*P^2*x^9+4*P^2*x^7-2*P*x^7-4*P^2*x^5+P^2*x^4+3*P*x^5+3*P^2*x^3-2*P^2 *x^2-4*P*x^3-P^2*x+2*P*x^2+x^3+P^2+2*P*x-2*P-x+1, (C*x^2-1)/((x^6-x^4+x^2)*C+x^ 2-1), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)+(-155*n^2+1441*n-2292)*a(n-2)+ (54*n^2-900*n+2532)*a(n-3)+(421*n^2-4253*n+9264)*a(n-4)+(-547*n^2+6953*n-20244) *a(n-5)+(-284*n^2+2512*n-4464)*a(n-6)+(951*n^2-12753*n+41700)*a(n-7)+(-154*n^2+ 4226*n-22176)*a(n-8)+(-913*n^2+11639*n-33948)*a(n-9)+(439*n^2-8261*n+36924)*a(n -10)+(537*n^2-6081*n+10440)*a(n-11)+(-356*n^2+6160*n-23520)*a(n-12)+(-235*n^2+ 2033*n+1956)*a(n-13)+(162*n^2-1914*n+888)*a(n-14)+(42*n^2-18*n-4704)*a(n-15)+(-\ 12*n^2-756*n+11280)*a(n-16)+(25*n^2-719*n+5124)*a(n-17)+(-34*n^2+1118*n-9000)*a (n-18)-2*(7*n-92)*(n-15)*a(n-19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 6, a(9) = 9, a(10 ) = 30, a(11) = 76, a(12) = 239, a(13) = 738, a(14) = 2420, a(15) = 8064, a(16) = 27517, a(17) = 95279, a(18) = 334378, a(19) = 1185999, a(20) = 4245288}, [0, 1, 0, 1, 0, 2, 1, 6, 9, 30, 76, 239, 738, 2420, 8064, 27517, 95279, 334378, 1185999, 4245288, 15314554, 55620685, 203204765, 746274155, 2753466520, 10201596984, 37938912641, 141571834097, 529921785635, 1989181756375, 7486245601563, 28241757874923, 106777250815370, 404534034974763, 1535529330639464, 5838908811982735, 22239507403294315, 84838453802928685, 324110349155250769, 1239903318777687090, 4749446636625434879, 18214904139319230140, 69937560437979388626, 268823435923388847953, 1034361302218228324623, 3983851919523597418937, 15358149088670766316553, 59259753933440654314056, 228848443350398548943175, 884476641374785745653708], 7505803690604408463283737803231408230064113220549179629050487378063107788206954\ 9504559024197955010154960855372802920601221941102079153065189529821913402198736\ 4433438360937039972212059785525687369202132706229557859727019804444702739248057\ 0853039530141303505702673382312355375083346366114321807411774241042293579288789\ 0630283081678268371868137800163163912763802306920676080695071200008955888314761\ 5114839191635817076947641558933509049469988023211222308162858495352394504430278\ 5026332819223368421326431781669502419916017367513898050722391609199278813227286\ 91549918922715830720080598241554349261677] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 2, 4, 5} [P^2*x^11-2*P^2*x^10+P^2*x^9+2*P^2*x^8-P^2*x^7-2*P*x^8-P^2*x^6+2*P*x^7+3*P^2*x^ 4-P*x^5-2*P*x^4+x^5-3*P^2*x^2+4*P*x^2+P^2-x^2-2*P+1, (C*x^3-1)/((x^6-x^5+x^3)*C +x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-67*n^2+695*n-1152)*a(n-2)+( -178*n^2+1610*n-2952)*a(n-3)+(342*n^2-3954*n+9768)*a(n-4)+(292*n^2-3188*n+8208) *a(n-5)+(-597*n^2+7935*n-25020)*a(n-6)+(-229*n^2+3089*n-10488)*a(n-7)+(449*n^2-\ 7531*n+31092)*a(n-8)+(215*n^2-1663*n-1416)*a(n-9)+(-251*n^2+3793*n-13068)*a(n-\ 10)+(-276*n^2+900*n+16560)*a(n-11)+(320*n^2-2314*n-8604)*a(n-12)+(44*n^2+890*n-\ 17700)*a(n-13)+(-201*n^2+1233*n+11928)*a(n-14)+(85*n^2-1475*n+7428)*a(n-15)+(90 *n^2-2070*n+11736)*a(n-16)+(-126*n^2+3888*n-30276)*a(n-17)+(-6*n^2-150*n+3744)* a(n-18)+(149*n^2-4657*n+36288)*a(n-19)+(-126*n^2+4098*n-33192)*a(n-20)+20*(2*n-\ 31)*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a(7) = 1, a(8) = 5, a(9) = 8, a(10) = 24, a(11) = 62, a(12) = 191, a(13) = 592, a(14) = 1935, a(15) = 6460, a(16) = 22053, a(17) = 76455, a(18) = 268572, a(19) = 953531, a(20) = 3416120, a(21) = 12333193}, [0, 1, 0, 1, 0, 2, 1, 5, 8, 24, 62, 191, 592, 1935, 6460, 22053, 76455, 268572, 953531, 3416120, 12333193, 44824685, 163868422, 602162134, 2222927002, 8239926465, 30657147296, 114445689429, 428544523623, 1609191362918, 6058082308306, 22860762069573, 86456296239835, 327630104382964, 1243914138129820, 4731086973318792, 18023758378199540, 68769905635215664, 262771997478139965, 1005425594767798940, 3851916490068339772, 14775038401306477009, 56738327241193627610, 218119357586463909500, 839377527480907178337, 3233280852114370222094, 12466130536971066509607, 48106387243245416207746, 185796999114712746344911, 718162642537116864746231], 6121382703228148234693883670329130858872101515043309\ 8444521835260820975886344037003535348704187954627543046282793045700933416809016\ 4616235974550102104508200584923821167214331238053676350639868739658141935181858\ 2196287609967434085486427278299375464249359272527169694890756732005288593974038\ 0559503760876086230196034399750589462985194619676411129104231211860873954571847\ 1488002284715309856804012797471700879801755650103896059896617983759967828066240\ 9181178790218245831350187888372744931962879339254519847729858055216741410881105\ 55128363864773631940813281898865834173104105826924292437167178239214] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 3, 4, 5} [P^2*x^7-2*P*x^7+P^2*x^5+x^7+P^2*x^4-P*x^5-P^2*x^3-2*P^2*x^2+2*P*x^3+2*P*x^2-x^ 3+P^2-2*P+1, (C*x^4-1)/(C*x^4+x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+ (-75*n^2+753*n-1236)*a(n-2)+(-103*n^2+905*n-1512)*a(n-3)+(161*n^2-1849*n+4224)* a(n-4)+(210*n^2-2460*n+6828)*a(n-5)+(-94*n^2+1304*n-3888)*a(n-6)-6*(13*n-85)*(3 *n-22)*a(n-7)+(618*n-5088)*a(n-8)+(20*n^2-1312*n+10104)*a(n-9)+(47*n^2-1279*n+ 8292)*a(n-10)+(3*n^2+519*n-6492)*a(n-11)+(432*n-5232)*a(n-12)+(n-15)*(11*n-196) *a(n-13)+2*(11*n-156)*(n-17)*a(n-14)-2*(7*n-92)*(n-15)*a(n-15)+12*(2*n-29)*(n-\ 16)*a(n-16) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6) = 2, a( 7) = 1, a(8) = 5, a(9) = 7, a(10) = 23, a(11) = 57, a(12) = 179, a(13) = 552, a (14) = 1814, a(15) = 6060, a(16) = 20733}, [0, 1, 0, 1, 0, 2, 1, 5, 7, 23, 57, 179, 552, 1814, 6060, 20733, 71966, 253115, 899512, 3225291, 11652471, 42376623 , 155001663, 569847648, 2104512262, 7803888773, 29044535615, 108458351666, 406235837120, 1525801983573, 5745458155322, 21685585476875, 82027771132662, 310903498503124, 1180603625903006, 4490983990761897, 17111507630942935, 65297959756683890, 249536936955007872, 954897853906243914, 3658743933453792940, 14035540959614419361, 53903864164733118499, 207242142341197138341, 797589701271939736005, 3072571369293596283828, 11847445833544720962597, 45722357601324192213121, 176602074856895638576015, 682668215694459529338547], 5834737090148381689274164968834069930221089817009387263177853496373209936205518\ 2463433074297412891130907162011909629940558848560166671635727457104119310121342\ 7306940747418932640189169191995219544263563752413194402241107329881979393866986\ 3954124000325512497927707121850919631822805001775433303288935039480627690409429\ 8487586839969632630467222036640612287051324717580609881560780753497142913845774\ 5651182661925108189406574131427031677478173139291275123645682317459865110958845\ 1135711591452875319778295895467878455606657745245744204610611402047622087181412\ 32517042027984728255509389432535718158793] ---------------------------- (A,B)= , {1, 3, 4, 5}, {2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-2*P*x^10-2*P*x^9+P^2*x^7+x^9+2*P^2*x^6-2*P*x^6-P*x ^5+2*P^2*x^3+2*P*x^4+x^5-P^2*x^2-2*P*x^3-x^4-2*P^2*x+P^2+4*P*x+x^2-2*P-2*x+1, ( C*x^5+x-1)/((x^6+x^5)*C+x^2+x-1), {-5*n*(n-5)*a(n)+60*(n-1)*(n-6)*a(n-1)+(-251* n^2+2251*n-3528)*a(n-2)+(394*n^2-4424*n+10056)*a(n-3)+(-9*n^2+957*n-4824)*a(n-4 )+(-542*n^2+6400*n-17208)*a(n-5)+(381*n^2-5613*n+19968)*a(n-6)+(121*n^2-899*n-\ 72)*a(n-7)-24*(15*n-64)*(n-8)*a(n-8)+(173*n^2-3043*n+12360)*a(n-9)+3*(n+4)*(53* n-509)*a(n-10)+(-62*n^2-266*n+12456)*a(n-11)+(-49*n^2-1951*n+27108)*a(n-12)+(-\ 59*n^2+5635*n-67320)*a(n-13)+(100*n^2-68*n-12144)*a(n-14)+(105*n^2-5169*n+54648 )*a(n-15)+(-54*n^2+1632*n-13104)*a(n-16)+(25*n^2-695*n+5388)*a(n-17)+(172*n^2-\ 6638*n+63480)*a(n-18)+(63*n^2-2469*n+24084)*a(n-19)+(-28*n^2+944*n-7776)*a(n-20 )+(83*n^2-3253*n+31644)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*(n-\ 22)*a(n-23) = 0, a(1) = 0, a(2) = 1, a(3) = 1, a(4) = 2, a(5) = 3, a(6) = 6, a( 7) = 11, a(8) = 22, a(9) = 45, a(10) = 98, a(11) = 229, a(12) = 580, a(13) = 1589, a(14) = 4667, a(15) = 14499, a(16) = 47016, a(17) = 157377, a(18) = 539295, a(19) = 1880867, a(20) = 6649322, a(21) = 23760965, a(22) = 85655679, a (23) = 311048274}, [0, 1, 1, 2, 3, 6, 11, 22, 45, 98, 229, 580, 1589, 4667, 14499, 47016, 157377, 539295, 1880867, 6649322, 23760965, 85655679, 311048274, 1136607608, 4175833612, 15414853285, 57143519669, 212634599882, 793923923935, 2973476351772, 11167925727404, 42053321370083, 158729620427572, 600435489704244 , 2275910788171393, 8642951301596860, 32879926786884449, 125288497270960232, 478142862616829552, 1827380901678390259, 6993393546623767175, 26797864837972458742, 102809802990906351276, 394877454080827515978, 1518298983775720002912, 5843797511520795068438, 22514043830996480991253, 86818366394860246685236, 335081334376816767714660, 1294349376070132354459613], 1075892618854324837035607230804814168852492968573908133532630524655730746428776\ 9949068420633251041249163115908726783734031003927995953518820380306403407338034\ 3680956678423451349245136902148715649074320363371942455626547409541799913506686\ 1780544708299095131991114561390990732512733183000175204995672100985435120386376\ 9759550280143597018705332625111141006913944845151029643238595565982933133172551\ 8428541407428335959005101995854259225525643683463652512537805920689304955967483\ 0507227399783471502360467238043430630661745657099333996821141088158171464966895\ 174159232385367004185636133009337480471241] ---------------------------- (A,B)= , {1, 3, 4, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^7-P^2*x^5+P^2*x^4+P*x^5-2*P^2*x^2+2*P*x^2+P^2-2*P+1, -1/(C*x^6+ x^2-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)+(-75*n^2+753*n-1236)*a(n-2)+(-\ 110*n^2+958*n-1608)*a(n-3)+(221*n^2-2449*n+5664)*a(n-4)+(99*n^2-1023*n+2424)*a( n-5)+(-240*n^2+2868*n-8016)*a(n-6)+(58*n^2-530*n+756)*a(n-7)+(126*n^2-1566*n+ 4800)*a(n-8)+(-149*n^2+1867*n-5628)*a(n-9)+(-27*n^2+369*n-1212)*a(n-10)+(56*n^2 -964*n+3924)*a(n-11)+(38*n^2-208*n-336)*a(n-12)+(-86*n^2+826*n-1368)*a(n-13)+(-\ 22*n^2+248*n-480)*a(n-14)+28*(n-6)*(2*n-19)*a(n-15)-(n-12)*(n-11)*a(n-17)+2*(n-\ 12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 1, a(3) = 0, a(4) = 1, a(5) = 0, a(6 ) = 2, a(7) = 1, a(8) = 5, a(9) = 7, a(10) = 22, a(11) = 55, a(12) = 172, a(13) = 534, a(14) = 1758, a(15) = 5891, a(16) = 20188, a(17) = 70182, a(18) = 247108 }, [0, 1, 0, 1, 0, 2, 1, 5, 7, 22, 55, 172, 534, 1758, 5891, 20188, 70182, 247108, 878954, 3153818, 11400979, 41482434, 151794542, 558257988, 2062356247, 7649670096, 28477493400, 106363969225, 398468772649, 1496892098429, 5637494711640, 21281177035959, 80508744383330, 305183253208556, 1159012180577604, 4409308795056201, 16801928291266221, 64122341986130334, 245064770526401320, 937857522294356856, 3593715736318586897, 13787028367079013847, 52952862778746553012, 203598244332361124007, 783610811548205337483, 3018883994527746950960, 11641032113491551856764, 44927942001741713437047, 173541679714143546016571, 670867532485951305394325], 5743467480632337608892140582271067507069818476626323638431565411531560312098272\ 7960313293419393861612067430446643011444051379364257279741834777457714700903207\ 7545032023415780545472541774439530306612655651750643323011021585796198055789588\ 5508592019877511458403421966101244625318191208826112210646638409446157373235349\ 2665474793338241499020883350113382429594257041208549685181333537037333354157263\ 1027708970156911310983476627401631729866018673564971827811991362976258647883495\ 8699357458518244688431812532153448576493077317871373955689278349502814089782421\ 63622389577795505294518903391796533006157] ---------------------------- (A,B)= , {2, 3, 4, 5}, {} [x^7+2*x^6+3*x^5-3*P*x^3+4*x^4-2*P*x^2+5*x^3+P^2-2*P*x+3*x^2-2*P+2*x+1, ((x^4+x ^3+x^2+x)*C-x^4-x^3-x^2-x-1)/(C*x-1), {n*(n-3)*a(n)+(-8*n^2+42*n-32)*a(n-1)+(13 *n^2-93*n+116)*a(n-2)+(10*n^2-102*n+240)*a(n-3)+(7*n^2-93*n+304)*a(n-4)+2*(n-8) *(2*n-17)*a(n-5) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1}, [1, 1, 1, 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420, 24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452, 18367353072152, 69533550916004, 263747951750360, 1002242216651368, 3814986502092304, 14544636039226909, 55534064877048198, 212336130412243110, 812944042149730764, 3116285494907301262, 11959798385860453492, 45950804324621742364, 176733862787006701400, 680425371729975800390, 2622127042276492108820, 10113918591637898134020, 39044429911904443959240, 150853479205085351660700, 583300119592996693088040, 2257117854077248073253720, 8740328711533173390046320], 804075989691498340986197075716628449932237225166604\ 1502413474351963394625607873107704972438378946896788783476460668210077442943945\ 4668107847377155696864466689177863116476431428634549287847561393943514682819786\ 4892430895105579291839924160453199142617303606691418471285573750111373533512704\ 0504874779941021246685518350068699884968523182864892591721943307088885646769416\ 3893853941458974870518862226593458748413625910024660279301713735462220213771459\ 6456588006386547547760935076436754750625329988760250462240824937590113043546141\ 7568441077455196418866688481281248744289062021246171600230473622568000] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1} [P^2*x^9-2*P^2*x^8+P^2*x^7-2*P*x^7+3*P^2*x^4-4*P^2*x^3+x^5+P^2*x^2+3*P*x^3+2*x^ 4-4*P*x^2+3*x^3+P^2-2*P*x+4*x^2-2*P+2*x+1, ((x^3+x^2+x)*C-x^3-x^2-x-1)/((x^5-x^ 4+x)*C-x^5+x^4-1), {-3*n*(n-3)*a(n)+(24*n^2-126*n+96)*a(n-1)+(-43*n^2+297*n-368 )*a(n-2)+(16*n^2+30*n-304)*a(n-3)+(-196*n^2+1512*n-3080)*a(n-4)+32*(n-2)*(7*n-\ 34)*a(n-5)+(-91*n^2+789*n-1832)*a(n-6)+(157*n^2-2481*n+9488)*a(n-7)+(-201*n^2+ 3513*n-15192)*a(n-8)+(5*n^2-1737*n+13648)*a(n-9)+(38*n^2+660*n-6848)*a(n-10)+( 137*n^2-4431*n+31144)*a(n-11)+(-220*n^2+7350*n-54848)*a(n-12)+(93*n^2-3699*n+ 29640)*a(n-13)+(16*n^2-294*n+1376)*a(n-14)-2*(n-11)*(19*n-280)*a(n-15)+(120*n^2 -3264*n+21840)*a(n-16)+(-142*n^2+3978*n-27440)*a(n-17)+28*(2*n-25)*(n-16)*a(n-\ 18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 42, a(10) = 132, a(11) = 428, a(12) = 1424, a(13) = 4835, a( 14) = 16686, a(15) = 58357, a(16) = 206375, a(17) = 736720, a(18) = 2651229}, [ 1, 1, 1, 1, 1, 2, 5, 14, 42, 132, 428, 1424, 4835, 16686, 58357, 206375, 736720 , 2651229, 9607854, 35031781, 128423252, 473054828, 1750037153, 6499280930, 24221795259, 90559224722, 339566363350, 1276666293304, 4811700311108, 18176342207333, 68806344426610, 260975438636995, 991657525205632, 3774524744830585, 14389773142498101, 54940645983041306, 210059654065572032, 804201649141867055, 3082677566254409043, 11830474902039392395, 45452702207605029129, 174813660821381301449, 673016600807322238023, 2593518197444170759181, 10003359504506292250109, 38616852801303382000839, 149198673366515103291882, 576891275787416187156712, 2232280774671119410579281, 8644012728826535305390365], 794753797161104060497538677492804684934019341923208\ 7065589460403871472146563083242482313547112112638295501405263483531685568891416\ 6399866801773838319225026972933616138469263091023894912840652976407347512389350\ 3169972932377142671314446163659180677040250319393074940504334795544431082995011\ 1226694563518540108057737577379085948866957530987456141949111277917485677480707\ 9866441573444293217701686263985382370008448111918366787254262412247830930649764\ 0853934518190660678044535569537538991299348521504711490302426223419866024360949\ 4649082982760254736296079083045784129285305498289520907435311245959893] ---------------------------- (A,B)= , {2, 3, 4, 5}, {2} [P^2*x^7-2*P^2*x^6-2*P*x^7+P^2*x^5+2*P*x^6+x^7-2*P*x^5+3*P^2*x^3+2*x^5-4*P^2*x^ 2-3*P*x^3+2*x^4+P^2*x+4*P*x^2+3*x^3+P^2-4*P*x+x^2-2*P+3*x+1, ((x^4+x^2+x)*C-x^4 -x^2-x-1)/((x^4-x^3+x)*C-x^4+x^3-1), {-3*n*(n-3)*a(n)+(19*n^2-105*n+80)*a(n-1)+ (16*n^2-48*n+80)*a(n-2)+(-215*n^2+1653*n-3040)*a(n-3)+(89*n^2-375*n-152)*a(n-4) +(384*n^2-4488*n+12552)*a(n-5)+(-503*n^2+6351*n-19780)*a(n-6)+(161*n^2-3189*n+ 14212)*a(n-7)+(-24*n^2+516*n-2664)*a(n-8)+(-32*n^2+3102*n-23692)*a(n-9)+(274*n^ 2-9642*n+68576)*a(n-10)+(-380*n^2+11130*n-77332)*a(n-11)+(242*n^2-6462*n+42904) *a(n-12)+(-187*n^2+4443*n-26204)*a(n-13)+(246*n^2-6354*n+40656)*a(n-14)+(-182*n ^2+4998*n-33880)*a(n-15)+28*(2*n-25)*(n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a( 3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 42, a(10) = 131, a(11) = 423, a(12) = 1403, a(13) = 4752, a(14) = 16368, a(15) = 57156, a( 16) = 201869}, [1, 1, 1, 1, 1, 2, 5, 14, 42, 131, 423, 1403, 4752, 16368, 57156 , 201869, 719863, 2588216, 9372207, 34149566, 125115479, 460631583, 1703294466, 6323090211, 23556466556, 88042385976, 330029273074, 1240467871707, 4674091331251, 17652431827907, 66808828254905, 253349075845652, 962502706630080 , 3662930429219206, 13962124491953955, 53299975926150485, 203758477315087078, 779976481680190080, 2989451720617203341, 11471378393678603614, 44068264710999920093, 169471635838914845677, 652386900051048657834, 2513788634213531163156, 9694990198677692678157, 37423318590283470043999, 144575949022061465230756, 558974962442951811112236, 2162798245481741364239346, 8374382668926753195553971], 767788256926194699490030776326296291323713358363743\ 2128106785678119268519683254012698969966432488739647315651569193769103728754502\ 5502029619415498940647924154005391306399900792440119451342394829608793006858536\ 7300919926070040780366409558678570798038780628171167610935730945075065748542828\ 2844663439493117798674025792203471838018916946048769575831371097101186893937676\ 8193629133184890730951889625807547487604873130190551260435872169983168085275942\ 0974575168786971118319021782943217319340538398197086160251334148630914307258715\ 2528450281999591194033167268603691662840339434952673267553263685118284] ---------------------------- (A,B)= , {2, 3, 4, 5}, {3} [P^2*x^5-2*P*x^6+x^7-2*P^2*x^4+2*x^6+P^2*x^3+2*P*x^4+x^5+3*P^2*x^2-5*P*x^3+2*x^ 4-4*P^2*x-2*P*x^2+4*x^3+2*P^2+4*P*x+x^2-4*P+2, ((x^4+x^3+x)*C-x^4-x^3-x-1)/((x^ 3-x^2+x)*C-x^3+x^2-1), {-12*n*(n-3)*a(n)+8*(17*n-16)*(n-4)*a(n-1)+(-540*n^2+ 3552*n-4680)*a(n-2)+(938*n^2-7386*n+12880)*a(n-3)+(-779*n^2+7455*n-16540)*a(n-4 )+(55*n^2-1695*n+6428)*a(n-5)+(430*n^2-3486*n+6584)*a(n-6)+(-415*n^2+4653*n-\ 14348)*a(n-7)+(269*n^2-5055*n+26404)*a(n-8)+(-223*n^2+5511*n-33932)*a(n-9)+(94* n^2-2508*n+16352)*a(n-10)+(79*n^2-1947*n+11828)*a(n-11)+(-102*n^2+2550*n-15792) *a(n-12)+20*(2*n-23)*(n-14)*a(n-13) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1 , a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 41, a(10) = 126, a(11) = 402, a(12) = 1321, a(13) = 4441}, [1, 1, 1, 1, 1, 2, 5, 14, 41, 126, 402, 1321, 4441 , 15203, 52816, 185733, 659871, 2364937, 8539838, 31040495, 113478164, 416980018, 1539211507, 5705044691, 21223873539, 79222097044, 296616389757, 1113675209778, 4192159338318, 15817784363441, 59814272913753, 226645132503265, 860416393513293, 3272172907555246, 12464622058934407, 47554546994349786, 181691233479903554, 695132321224479207, 2662921801790735605, 10213520933899909951, 39218409126795076734, 150756294049832798869, 580106255448689423858, 2234414446430482707604, 8614362307141809068755, 33240411862352206604297, 128373540751742907106433, 496173703671591084311738, 1919222972406942309003491, 7429096205405994535079238], 672653877508346272293472\ 9031235623048991307310004077447851566592526968044384582561921442955344068203894\ 7849201520087622413215030450784457636324780247536848468777047999881208169374047\ 4908029087541091948240659162048266685270865384434235716851686080524461760409964\ 4661059882262145577169347110759404754902520557617538765146624736874195125139463\ 5909762975736644305772514003258333308637762579277821634611545794397675353540252\ 1321295033461999777349845678523202331086237297152479622874692596934330916910056\ 4263487915894035961987456779254850166922801719202321363808893199111879602485171\ 016847452774688401] ---------------------------- (A,B)= , {2, 3, 4, 5}, {4} [x^8-2*P*x^6+2*x^7+P^2*x^4+3*x^6-2*P^2*x^3-3*P*x^4+2*x^5+4*P^2*x^2+3*x^4-3*P^2* x-4*P*x^2+x^3+P^2+4*P*x+x^2-2*P-x+1, ((x^4+x^3+x^2)*C-x^4-x^3-x^2-1)/(C*x^2-x^2 +x-1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1)+(-264*n^2+1968*n-2736)*a(n-2) +(700*n^2-6196*n+11688)*a(n-3)+(-1120*n^2+11428*n-26664)*a(n-4)+(1131*n^2-12993 *n+35502)*a(n-5)+(-763*n^2+9613*n-29526)*a(n-6)+(336*n^2-4548*n+14952)*a(n-7)+( -60*n^2+432*n+1584)*a(n-8)+(-105*n^2+2799*n-18402)*a(n-9)+(114*n^2-3018*n+19836 )*a(n-10)+(-62*n^2+1610*n-10428)*a(n-11)+12*(2*n-25)*(n-14)*a(n-12) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 36, a(10) = 106, a(11) = 327, a(12) = 1045}, [1, 1, 1, 1, 1, 2, 5, 13, 36, 106, 327, 1045, 3433, 11529, 39414, 136733, 480180, 1703807, 6099193, 22000823, 79890801, 291808480, 1071403389, 3952020216, 14638293671, 54424065467, 203034222400, 759790586108, 2851348853311, 10728474996286, 40463929597582, 152954346844120, 579360875031653, 2198706838568725, 8359108281762525, 31832900933458770, 121414387352480205, 463767198460804970, 1773894781707379869, 6793896919957722629, 26052030028473231638, 100015329095164501530, 384385629016815344827, 1478831105536752569398, 5695056470981344209128, 21952519511373386671936, 84695039144155916932505, 327039800428485491619329, 1263849346853594929350751, 4887944251701029342021731], 426383374040567858312776\ 3121696166910187301450281867491280807554350747533591628750284767493926348761271\ 4604669969349690964287929985904848749255026343135539356655570465966310553596795\ 0760340800744360559684478723956384204599800047628317496709206022834602749176044\ 5613747816681217036083602460038177852398663555355089524771569914776579157334058\ 6023427528038589816868391950073427442029972740412802398916686497343073780748067\ 9065732930928123695806352031369274007164349948724947519550893726371903736115448\ 2385474142929105464633681367716788555454885944488687649621412654330932740423146\ 575914165088395289] ---------------------------- (A,B)= , {2, 3, 4, 5}, {5} [x^9+2*x^8-2*P*x^6+3*x^7-3*P*x^5+4*x^6+P^2*x^3-2*P*x^4+3*x^5+2*P^2*x^2-2*P*x^3+ x^4-3*P^2*x+P^2+4*P*x-x^2-2*P-x+1, (-1+(x^5+x^4+x^3+x^2)*C)/(C*x^2+x-1), {-5*n* (n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-316*n^2+2696*n-3888)*a(n-2)+(705*n^2-\ 7095*n+13944)*a(n-3)+(-671*n^2+7741*n-18552)*a(n-4)+(47*n^2-631*n+1056)*a(n-5)+ (246*n^2-3540*n+12048)*a(n-6)+(-n^2-13*n+216)*a(n-7)+(-8*n^2-158*n+2832)*a(n-8) +(-80*n^2+1972*n-12240)*a(n-9)+(-2*n^2+4*n+288)*a(n-10)+4*(2*n-27)*(n-14)*a(n-\ 11) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 22, a(10) = 58, a(11) = 163}, [1, 1, 1, 1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547, 13410481705795, 50506214531252, 190661396754623, 721309231245930, 2734340902348660, 10384729349891801, 39508833052959062, 150556764433793122, 574604028257812551, 2196133765002623111, 8404921968965752371, 32207692734494651832, 123567904825171570007, 474617269824566355386, 1824933678818837074702, 7024125634258699052147, 27061810866951754785671, 104356677565423473137257, 402775764533193562448982, 1555852247194778679374801], 129266791274221737394711402705522434251836076813338\ 9485964688318383053681396015126231088244723537994276883122279998968243580311606\ 8328247053237250552361492135239980262307416554530271434431855735380445083495987\ 2707139829636801646088325604573312433352093521044790592891926946061894281523455\ 9055552823633119105532889033321080175287240933477909841939682456941030795333411\ 7476261000525264981805771013481546729540656828715534318434171078198288342299374\ 4437964611081085336245439192979462230221068049509576233616472652191898903942286\ 9731922546839640428907774521051688708797666173650116469493712802818122] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 2} [P^2*x^9-2*P^2*x^7+P^2*x^5-2*P*x^6+3*P^2*x^4-2*P*x^5-P^2*x^3-3*P^2*x^2+3*P*x^3+ P^2*x+2*P*x^2+x^3+P^2-4*P*x+2*x^2-2*P+3*x+1, ((x^2+x)*C-x^2-x-1)/((x^5-x^3+x)*C -x^5+x^3-1), {-3*n*(n-3)*a(n)+(19*n^2-105*n+80)*a(n-1)+(12*n^2-30*n+60)*a(n-2)+ (-172*n^2+1398*n-2660)*a(n-3)+(-43*n^2+483*n-1508)*a(n-4)+(387*n^2-3819*n+9348) *a(n-5)+(-5*n^2+87*n-424)*a(n-6)+(-355*n^2+4125*n-12032)*a(n-7)+(-10*n^2-1128*n +9004)*a(n-8)+(143*n^2-2343*n+11068)*a(n-9)+(61*n^2+1491*n-16828)*a(n-10)+(-106 *n^2+1818*n-9032)*a(n-11)+(4*n^2-1668*n+15080)*a(n-12)+(83*n^2-1737*n+9520)*a(n -13)+2*(n-8)*(5*n-47)*a(n-14)+(-91*n^2+2259*n-13964)*a(n-15)+2*(n-8)*(n-7)*a(n-\ 16)+20*(2*n-23)*(n-14)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5 ) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 42, a(10) = 131, a(11) = 422, a(12 ) = 1397, a(13) = 4725, a(14) = 16258, a(15) = 56729, a(16) = 200248, a(17) = 713773}, [1, 1, 1, 1, 1, 2, 5, 14, 42, 131, 422, 1397, 4725, 16258, 56729, 200248, 713773, 2565443, 9287187, 33832140, 123929206, 456191732, 1686648450, 6260563582, 23321151400, 87155107635, 326677485552, 1227783368106, 4626005131179, 17469838424232, 66114388624556, 250704011594159, 952413460245154 , 3624393978670012, 13814741860217195, 52735617322455966, 201594900150259478, 771672743202919122, 2957548388103059029, 11348680246220691966, 43595919752085658072, 167651596102187350647, 645367744063420261636, 2486695792203394724031, 9590331798093557261640, 37018716028301899279896, 143010625222724309219010, 552914753423714102793744, 2139319955675482884897279, 8283364301036932622513155], 759085582005926348959694684975853420754555183661222\ 1341025187444461753282314162011083606666060792888422843291805286585300188596279\ 0176833521679855998597463401378883475303820676328729122297513890492882828758012\ 5267476271770461808700002267348027641847449364342041596079268529087469384542807\ 3198757100435033435236888434769455439877350463337110194595085889346751510537767\ 2810450716768350260358441309174952180657170117180919240799627546862140924808654\ 0618888816082578479891014317529232215992736944547376778050786424171555975911574\ 7228153685049312085759853688455478809503316650727834485045544509360995] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 3} [P^2*x^9-2*P^2*x^8+3*P^2*x^7-4*P^2*x^6-2*P*x^7+3*P^2*x^5+2*P*x^6+P^2*x^4-4*P*x^ 5-3*P^2*x^3+2*P*x^4+x^5+4*P^2*x^2+P*x^3-4*P^2*x-4*P*x^2+2*x^3+2*P^2+4*P*x+2*x^2 -4*P+2, ((x^3+x)*C-x^3-x-1)/((x^5-x^4+x^3-x^2+x)*C-x^5+x^4-x^3+x^2-1), {-12*n*( n-3)*a(n)+8*(17*n-16)*(n-4)*a(n-1)+(-548*n^2+3588*n-4720)*a(n-2)+(1042*n^2-8022 *n+13856)*a(n-3)+(-1274*n^2+11178*n-23584)*a(n-4)+(1116*n^2-11184*n+27816)*a(n-\ 5)+(-592*n^2+8628*n-30224)*a(n-6)+(-82*n^2-5838*n+41704)*a(n-7)+(396*n^2+6114*n -65664)*a(n-8)+(-299*n^2-9351*n+95372)*a(n-9)+(133*n^2+10197*n-98908)*a(n-10)+( -165*n^2-4851*n+58860)*a(n-11)+(382*n^2-4740*n+9416)*a(n-12)+(-645*n^2+14073*n-\ 77340)*a(n-13)+(762*n^2-18876*n+116904)*a(n-14)+(-621*n^2+15957*n-102180)*a(n-\ 15)+(382*n^2-10086*n+66080)*a(n-16)+(-182*n^2+4998*n-33880)*a(n-17)+28*(2*n-25) *(n-16)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2 , a(7) = 5, a(8) = 14, a(9) = 41, a(10) = 126, a(11) = 401, a(12) = 1315, a(13) = 4414, a(14) = 15095, a(15) = 52403, a(16) = 184186, a(17) = 654126, a(18) = 2343670}, [1, 1, 1, 1, 1, 2, 5, 14, 41, 126, 401, 1315, 4414, 15095, 52403, 184186, 654126, 2343670, 8461139, 30748948, 112396096, 412954986, 1524203551, 5648949437, 21013705097, 78432849624, 293645943854, 1102471873929, 4149820054853, 15657473181733, 59206188988389, 224334664707290, 851623483541416 , 3238659106352994, 12336702319848606, 47065623340174407, 179820106919793072, 687962719544473303, 2635418190316238329, 10107897044261193253, 38812350333178688330, 149193692777225930279, 574087322296595341496, 2211209322420037462321, 8524820994095256542606, 32894614630328304760579, 127037060950255201482069, 491004407330843899959656, 1899214459771854606137395, 7351596588446689690906055], 665507926450729058344801529988637482078212555765912\ 4618002826669504550453977468676422302711516742797847993304848191690223357380728\ 8742376647152640319118413345552644651204000170199086414173877714491324840709438\ 4713826206403753569377459105550647769686651371806900175463609012296079134025689\ 2680825901219560005932111601837019166394747425046168234472535608895156190020356\ 3976996329717816065694558371146385980517025094222102318137097666327320418193295\ 4467024045330296744384476615646005629033300526259430531658040537462140336268998\ 1419662486567197442790454209583574360646262995202291396496940773654810] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 4} [P^2*x^10-2*P^2*x^9+P^2*x^8+2*P^2*x^7-2*P*x^8-4*P^2*x^6+5*P^2*x^5+2*P*x^6-3*P^2 *x^4-4*P*x^5+x^6-P^2*x^3+3*P*x^4+2*x^5+4*P^2*x^2-2*P*x^3+x^4-3*P^2*x-4*P*x^2+2* x^3+P^2+4*P*x+x^2-2*P-x+1, ((x^3+x^2)*C-x^3-x^2-1)/((x^5-x^4+x^2)*C-x^5+x^4-x^2 +x-1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1)+(-264*n^2+1968*n-2736)*a(n-2) +(695*n^2-6167*n+11646)*a(n-3)+(-1051*n^2+10915*n-25710)*a(n-4)+(761*n^2-9743*n +28410)*a(n-5)+(246*n^2-276*n-5916)*a(n-6)+(-1243*n^2+11779*n-23982)*a(n-7)+( 1440*n^2-14226*n+26784)*a(n-8)+(-919*n^2+9001*n-13254)*a(n-9)+(279*n^2-5481*n+ 28926)*a(n-10)+(35*n^2+6961*n-71970)*a(n-11)+(-70*n^2-7070*n+79260)*a(n-12)+(72 *n^2+1386*n-19416)*a(n-13)+(-200*n^2+6644*n-55272)*a(n-14)+(369*n^2-12051*n+ 96066)*a(n-15)+(-366*n^2+11094*n-84132)*a(n-16)+(152*n^2-4496*n+33600)*a(n-17)+ (96*n^2-3108*n+24648)*a(n-18)+(-142*n^2+4546*n-35964)*a(n-19)+28*(2*n-29)*(n-18 )*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 36, a(10) = 106, a(11) = 326, a(12) = 1039, a(13) = 3408 , a(14) = 11435, a(15) = 39072, a(16) = 135504, a(17) = 475777, a(18) = 1688009 , a(19) = 6042308, a(20) = 21795093}, [1, 1, 1, 1, 1, 2, 5, 13, 36, 106, 326, 1039, 3408, 11435, 39072, 135504, 475777, 1688009, 6042308, 21795093, 79143299, 289079979, 1061399903, 3915191708, 14502179716, 53919186478, 201155236675, 752775967920, 2825086715703, 10629889952962, 40092937765985, 151555033752798, 574071621582826, 2178674083814586, 8283093640374238, 31543957660801968, 120314268358897702, 459572164396621956, 1757874848241107520, 6732636609227487316, 25817467973649815147, 99116109365785781083, 380934388662752143137, 1465570607491620669306, 5644053485958436852298, 21756156305593674530045, 83938323665391005858131, 324121071386441910859250, 1252581898083085285036022, 4844411987775729394864407], 422763644272101286373502\ 5129749500293295399096690319009768860052826211317405331477147790029325301951714\ 4640380173722082829402522222799507082987489192337243488827390662084441478794184\ 5017288674472504978134541426862642824795875736851162329895785771412048590695984\ 0773174508553248698538948397881198683516486177186351670497031803068091378181551\ 7242228596061885484445405087631359693452065471185668260500195483724514485114157\ 0388148112801120274379263097529188954271512604600625364901738988258858923051831\ 8348605148255344063455537931742030558275504165345393249812221709647639035552385\ 985365022507604570] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 5} [P^2*x^11-2*P^2*x^10+P^2*x^9-2*P*x^9+2*P^2*x^7-P^2*x^6-2*P^2*x^5+2*P*x^6+x^7+P^ 2*x^4-P*x^5+2*x^6+P^2*x^3-4*P*x^4+3*x^5+2*P^2*x^2-2*P*x^3+2*x^4-3*P^2*x+P^2+4*P *x-x^2-2*P-x+1, (-1+(x^4+x^3+x^2)*C)/((x^6-x^5+x^2)*C+x-1), {-5*n*(n-5)*a(n)+( 65*n^2-445*n+360)*a(n-1)+(-316*n^2+2696*n-3888)*a(n-2)+(705*n^2-7095*n+13944)*a (n-3)+(-677*n^2+7783*n-18624)*a(n-4)+(120*n^2-1296*n+2568)*a(n-5)+(-65*n^2-65*n +2280)*a(n-6)+(516*n^2-7128*n+25008)*a(n-7)+(-142*n^2+3800*n-20088)*a(n-8)+(-\ 527*n^2+5881*n-13272)*a(n-9)+6*(11*n+36)*(4*n-37)*a(n-10)+(35*n^2-5845*n+56376) *a(n-11)+(276*n^2+2838*n-60624)*a(n-12)+(-420*n^2+3306*n+9576)*a(n-13)+(120*n^2 -1986*n+11232)*a(n-14)+(104*n^2-3460*n+30264)*a(n-15)+(4*n^2+1042*n-16392)*a(n-\ 16)+(-176*n^2+5452*n-43512)*a(n-17)+2*(67*n-1148)*(n-18)*a(n-18)+(-46*n^2+1502* n-12192)*a(n-19)+(120*n^2-4224*n+36816)*a(n-20)+(-142*n^2+5114*n-45624)*a(n-21) +28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 22, a(10) = 58, a(11) = 162, a(12) = 479, a(13) = 1480, a(14) = 4737, a(15) = 15591, a(16) = 52473, a(17) = 179807, a(18) = 625266, a(19) = 2200993, a(20) = 7827498, a(21) = 28081130, a(22) = 101500026}, [1, 1, 1, 1, 1, 2, 4, 9, 22, 58, 162, 479, 1480, 4737, 15591, 52473 , 179807, 625266, 2200993, 7827498, 28081130, 101500026, 369277254, 1351221823, 4969372424, 18358514086, 68097673414, 253520723469, 946963220789, 3547832960289 , 13328831235544, 50202117671682, 189525153203723, 717051127434519, 2718340160343621, 10324452676350857, 39281239183721599, 149695572529893916, 571338892543274399, 2183731383872872233, 8357731100695769062, 32027842256102858807, 122881433891074742991, 471993354579646892674, 1814890800021714497460, 6985638622161350712107, 26914142564906116580391, 103789460226548924484564, 400594667042103673337417, 1547456869558757829941282], 1286592998072054188498488731236652634862261848321078660376350610705562202402342\ 5217882231242881422718017999240809987266394893914624475912305648386482250939762\ 8381923568813649385116063427121719894053084108290373918682769480030352079557712\ 6229156059342292651334347133160905106327100399377296591446184724420207538264810\ 4345699687615996205822747593543834900573871175456009859899254773353966188890284\ 6253077069090089442310631267504856903903625587438037259541522542007817250123399\ 6499083459512456161472308843183427595420478880185923210443364710161903997210523\ 549179366994012218901336722595162906773482] ---------------------------- (A,B)= , {2, 3, 4, 5}, {2, 3} [P^2*x^7-2*P*x^7-2*P^2*x^5+x^7+2*P*x^5+4*P^2*x^3-2*P*x^4-P^2*x^2-5*P*x^3+2*x^4-\ 3*P^2*x+4*P*x^2+2*x^3+2*P^2+2*P*x-x^2-4*P+x+2, ((x^4+x)*C-x^4-x-1)/((x^4-x^2+x) *C-x^4+x^2-1), {-6*n*(n-3)*a(n)+(63*n^2-315*n+240)*a(n-1)+(-206*n^2+1395*n-1840 )*a(n-2)+(173*n^2-1470*n+2500)*a(n-3)+(196*n^2-1512*n+3116)*a(n-4)+(-369*n^2+ 3597*n-8856)*a(n-5)+(23*n^2-867*n+4408)*a(n-6)+(194*n^2-1572*n+1732)*a(n-7)+(-\ 60*n^2+1323*n-6612)*a(n-8)+(37*n^2-2649*n+21092)*a(n-9)+(-71*n^2+2325*n-17056)* a(n-10)+(-83*n^2+2439*n-16600)*a(n-11)+(118*n^2-3402*n+23888)*a(n-12)+(41*n^2-\ 1005*n+6124)*a(n-13)+(-66*n^2+1818*n-12432)*a(n-14)-3*(5*n-56)*(n-15)*a(n-15)+ 14*(2*n-25)*(n-16)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9) = 41, a(10) = 125, a(11) = 396, a(12) = 1294, a(13) = 4333, a(14) = 14791, a(15) = 51276, a(16) = 180025}, [1, 1, 1, 1, 1, 2, 5, 14, 41, 125, 396, 1294, 4333, 14791, 51276, 180025, 638775, 2286978, 8251371, 29970940, 109503164, 402169961, 1483893204, 5497910652, 20446433619, 76297478645, 285590604789, 1072022994552, 4034504863330, 15219968605786, 57543483332561, 218005542838234, 827495101292973, 3146543417300542, 11984553567642796, 45717670526953514, 174654156504307481, 668141707319144461, 2559284586276495460, 9815159419012923514, 37685644568148518504, 144853070662400085376, 557350078176692108187, 2146615842106211564090, 8275333045307165647770, 31930228290887702287720, 123306462368268282581254, 476562708659622908113156, 1843269953937192147033183, 7134734374271868624060681] , 64477847544825817607852480722764734285712044468118891185394465215163672498570\ 2585668346437236712976290992689116479974825129629854762496209812063376214103359\ 1047903493307205983893733099500588871285830564365778118348417449691571974228338\ 7425713208455626488629532329200508482817364784102406547619470940382533350869521\ 2867207994989761282449012092119391004563403857062923449202223945497685394174936\ 4469168115580720040082219942008207232659998947038991192499487853026103620225764\ 0175822331988905268955707789125614983756592893232145958828374114147725744918313\ 47009501824833238647051071441504181655133969] ---------------------------- (A,B)= , {2, 3, 4, 5}, {2, 4} [P^2*x^8-2*P^2*x^7-2*P*x^8+3*P^2*x^6+2*P*x^7+x^8-4*P^2*x^5-4*P*x^6+6*P^2*x^4+4* P*x^5+2*x^6-6*P^2*x^3-7*P*x^4+5*P^2*x^2+6*P*x^3+3*x^4-3*P^2*x-6*P*x^2-x^3+P^2+4 *P*x+2*x^2-2*P-x+1, ((x^4+x^2)*C-x^4-x^2-1)/((x^4-x^3+x^2)*C-x^4+x^3-x^2+x-1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1)+(-270*n^2+2004*n-2784)*a(n-2)+(783*n ^2-6837*n+12858)*a(n-3)+(-1571*n^2+15593*n-36042)*a(n-4)+(2408*n^2-26462*n+ 70728)*a(n-5)+(-2959*n^2+35275*n-104466)*a(n-6)+(2936*n^2-36944*n+115380)*a(n-7 )+(-2357*n^2+29117*n-83706)*a(n-8)+(1414*n^2-13222*n+6108)*a(n-9)+(-380*n^2-\ 6178*n+99852)*a(n-10)+(-496*n^2+23146*n-196632)*a(n-11)+(992*n^2-32402*n+248196 )*a(n-12)+(-1092*n^2+32922*n-244656)*a(n-13)+(920*n^2-27230*n+201060)*a(n-14)+( -629*n^2+18629*n-137682)*a(n-15)+(382*n^2-11614*n+87780)*a(n-16)+(-182*n^2+5726 *n-44604)*a(n-17)+28*(2*n-29)*(n-18)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 36, a(10) = 105, a(11 ) = 321, a(12) = 1020, a(13) = 3339, a(14) = 11188, a(15) = 38192, a(16) = 132364, a(17) = 464529, a(18) = 1647524}, [1, 1, 1, 1, 1, 2, 5, 13, 36, 105, 321, 1020, 3339, 11188, 38192, 132364, 464529, 1647524, 5895853, 21262636, 77198200, 281942404, 1035098655, 3817898053, 14140980032, 52573803431, 196128674596, 733942813329, 2754339137580, 10363477455412, 39087447553965, 147752141596447, 559660360533226, 2123961622516223, 8075020380590705, 30751372475350038, 117290606811539906, 448020637453555611, 1713684315265358208, 6563370424687021195, 25168336959090947524, 96623879534289069240, 371355571704898861519, 1428716993569499092494, 5502124599332731390475, 21209060159367635483965, 81827559488325286963180, 315970626459512652030510, 1221084695571390425900985, 4722598239148099936617631], 412197033351564535254636\ 7725352125176799296532680274460769120488070519350451884304460451190865863337808\ 6513909681972724582036244768473601681051087651997698127762940352538459872803085\ 9742042234285927938701972535650921333105273312847100429649364710041600291843006\ 3608412110992144475749324034295697322051518323441266560624429767652926726425435\ 3278778978881102663239892653107561358420626649632725668127718107354377658930054\ 1121306340249723575380935187191408164384640268081850165318786810937276484604462\ 5570058832794337523161422479802056393299547652300357783649278373289350470326675\ 061668956035482599] ---------------------------- (A,B)= , {2, 3, 4, 5}, {2, 5} [P^2*x^9-2*P^2*x^8-2*P*x^9+P^2*x^7+2*P*x^8+x^9+2*P^2*x^6-2*P*x^7-P^2*x^5-2*P*x^ 6+2*x^7-2*P^2*x^4+P*x^5+2*x^6+2*P^2*x^3+x^5+2*P^2*x^2-4*P*x^3+x^4-3*P^2*x+x^3+P ^2+4*P*x-x^2-2*P-x+1, (-1+(x^5+x^3+x^2)*C)/((x^5-x^4+x^2)*C+x-1), {-5*n*(n-5)*a (n)+(65*n^2-445*n+360)*a(n-1)+(-316*n^2+2696*n-3888)*a(n-2)+(698*n^2-7042*n+ 13848)*a(n-3)+(-586*n^2+6926*n-16656)*a(n-4)+(-315*n^2+3543*n-10704)*a(n-5)+( 844*n^2-11756*n+39528)*a(n-6)+(-117*n^2+3021*n-14616)*a(n-7)+(-633*n^2+8793*n-\ 29976)*a(n-8)+(220*n^2-5888*n+34464)*a(n-9)+(416*n^2-316*n-37104)*a(n-10)+(-212 *n^2-4316*n+74664)*a(n-11)+(-202*n^2+8162*n-74304)*a(n-12)+(77*n^2-73*n-8784)*a (n-13)+(104*n^2-5272*n+54264)*a(n-14)+(49*n^2-1109*n+4752)*a(n-15)+(-128*n^2+ 4708*n-42504)*a(n-16)+(-67*n^2+1631*n-8496)*a(n-17)+(246*n^2-8322*n+70008)*a(n-\ 18)+(-182*n^2+6454*n-56784)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a (2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 22, a(10) = 57, a(11) = 159, a(12) = 469, a(13) = 1448, a(14) = 4635, a(15) = 15261 , a(16) = 51388, a(17) = 176183, a(18) = 612976, a(19) = 2158739, a(20) = 7680437}, [1, 1, 1, 1, 1, 2, 4, 9, 22, 57, 159, 469, 1448, 4635, 15261, 51388, 176183, 612976, 2158739, 7680437, 27563750, 99662488, 362696467, 1327480618, 4883165595, 18043681917, 66941972332, 249258756724, 931180778773, 3489169658483 , 13110035851126, 49383540972138, 186453894351461, 705497745966413, 2674774045212621, 10159804530335198, 38657701238989582, 147329630869948384, 562345496892199066, 2149488459374143910, 8227144302925091583, 31529110503573626987, 120974059778734643322, 464689182797890252537, 1786885491597547641909, 6878137076370818008686, 26501031286318209407489, 102200282326408639772110, 394475277195011634806660, 1523870962248246789822098], 1268658714640168903159789248887201233618997074697538577862818649047904194992880\ 4442155142060581845174822243815667602155223269640485656482392220821646149084223\ 1710966981151275286763836787400509755010572334125141674715043896166255146256603\ 7157508126668685867280381009688542074241592913216082135763688488851161430632329\ 9929196541647535094793771250302293722946822429862511950375970115611382141339544\ 3639253832545450019564650977841173228080132680709643437258866534657542064475115\ 8886073408958140340177993669027519341407788491206978265311871524966479238311544\ 942982786604124931989635574677870398304498] ---------------------------- (A,B)= , {2, 3, 4, 5}, {3, 4} [P^2*x^6-2*P*x^7+x^8-2*P*x^6+2*x^7-2*P^2*x^4+2*P*x^5+x^6+3*P^2*x^3-P*x^4-4*P*x^ 3+2*x^4-2*P^2*x+2*P*x^2+x^3+P^2+2*P*x-x^2-2*P+1, ((x^4+x^3)*C-x^4-x^3-1)/(C*x^3 -x^3+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-170*n^2+1304*n-1800)*a(n -2)+(216*n^2-2016*n+3696)*a(n-3)+(107*n^2-833*n+1974)*a(n-4)+(-530*n^2+5588*n-\ 14640)*a(n-5)+(396*n^2-4608*n+13344)*a(n-6)+(118*n^2-1480*n+4356)*a(n-7)+(-320* n^2+4190*n-13236)*a(n-8)+(180*n^2-3444*n+17952)*a(n-9)+(-85*n^2+3001*n-23034)*a (n-10)+(-4*n^2-176*n+2232)*a(n-11)+(120*n^2-3552*n+26040)*a(n-12)-3*(n-14)*(33* n-475)*a(n-13)+2*(n-10)*(n-9)*a(n-14)+20*(2*n-27)*(n-16)*a(n-15) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 35, a(10) = 100, a(11) = 302, a(12) = 952, a(13) = 3099, a(14) = 10341, a(15) = 35191}, [1, 1, 1, 1, 1, 2, 5, 13, 35, 100, 302, 952, 3099, 10341, 35191, 121675 , 426235, 1509527, 5395752, 19440653, 70527674, 257410261, 944502532, 3482057011, 12891663255, 47911465803, 178677801603, 668446930852, 2507902435597 , 9434058742432, 35574593704411, 134448013413936, 509178929420527, 1932075964933201, 7344435676690123, 27965432572431014, 106651485392247266, 407335498083119739, 1557898433022636919, 5966126693955762129, 22876003814630422942, 87815822218408485955, 337476272522609413495, 1298274823221131763073, 4999423331259768386066, 19270001954332467875448, 74341685892136572824965, 287047314819803047192623, 1109246113759602311205579, 4289826753005486781177806], 373704397046408235039224076230166051867203532472005\ 9999267342655167673637650110697371178425708756578258422379278267310764433559416\ 3923661891759431640057633739937805911160646277074849607665416211550826703109978\ 7150636596720788010802208575541279925303945471979832377051636426493465948509016\ 0502092518684418018949254060080574305042758678622541254999489698128338918711171\ 9200177074571034606777741608121770527091773774810868338652395907692199258403861\ 0016674203466602159682535483194458476744255644775116714331640524783573009932430\ 4498010325387282746087333099539267783638027830631703721226631473218886] ---------------------------- (A,B)= , {2, 3, 4, 5}, {3, 5} [P^2*x^7-2*P*x^8+x^9-2*P^2*x^6+2*x^8+3*P^2*x^5+x^7-P^2*x^4-5*P*x^5+2*x^6-P^2*x^ 3+2*P*x^4+2*x^5+3*P^2*x^2-x^4-3*P^2*x-2*P*x^2+P^2+4*P*x-2*P-x+1, (-1+(x^5+x^4+x ^2)*C)/((x^4-x^3+x^2)*C+x-1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-324* n^2+2754*n-3972)*a(n-2)+(802*n^2-7988*n+15732)*a(n-3)+(-1087*n^2+12341*n-30084) *a(n-4)+(759*n^2-9921*n+28884)*a(n-5)+(43*n^2+757*n-5136)*a(n-6)+(-834*n^2+9732 *n-28320)*a(n-7)+(1093*n^2-14441*n+48012)*a(n-8)+(-774*n^2+11268*n-42864)*a(n-9 )+(356*n^2-6784*n+37932)*a(n-10)+(-117*n^2+4245*n-38004)*a(n-11)+(11*n^2-1693*n +21384)*a(n-12)+(60*n^2-1218*n+5436)*a(n-13)+(-132*n^2+4062*n-31320)*a(n-14)+( 167*n^2-5479*n+44712)*a(n-15)+(-102*n^2+3366*n-27624)*a(n-16)+20*(2*n-31)*(n-18 )*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 21, a(10) = 54, a(11) = 149, a(12) = 438, a(13) = 1350, a (14) = 4320, a(15) = 14230, a(16) = 47954, a(17) = 164558}, [1, 1, 1, 1, 1, 2, 4, 9, 21, 54, 149, 438, 1350, 4320, 14230, 47954, 164558, 573051, 2019865, 7191994, 25829119, 93449965, 340281196, 1246075455, 4585815748, 16951949226, 62915140454, 234344255750, 875733610574, 3282333723946, 12336075846135, 46479229966385, 175526926175706, 664288022487728, 2519010933193514, 9569842096650666, 36418896606330968, 138818568967329863, 529935711080005818, 2025880223509959471, 7755020705324770354, 29723338094793336736, 114058384671831428480, 438171314555044017761, 1685085932362394478683, 6486909381085133858864, 24995932783935751291833, 96404273868842502372269, 372134377260836870706496, 1437680298381351756412411], 1200641255214495874259803\ 0875624750323294155376445975701945938240188769196464334500957686272521171037919\ 1193114524182845663474013447948540655367213293233167293547292259954685085774139\ 7464151436881212946566777065715832156776286548183408437098046299191784119882990\ 0014303028897882744869022104876438467917404290428533841387614464852168786517051\ 9212075580045337894046260993978842630372871944061995961850109746160882417570531\ 1800060656719856755814462015951229993428695478166374182503561913674108204041350\ 4823842992728189625538479146765416616076979238946425661318186926659220411335119\ 32622765026864605] ---------------------------- (A,B)= , {2, 3, 4, 5}, {4, 5} [x^9-2*P*x^7+2*x^8+P^2*x^5-2*P*x^6+3*x^7-3*P*x^5+2*x^6+P^2*x^3+x^5-x^4-2*P^2*x+ 2*P*x^2-x^3+P^2+2*P*x-x^2-2*P+1, (-1+(x^5+x^4+x^3)*C)/(C*x^3+x-1), {-5*n*(n-5)* a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-211*n^2+1829*n-2604)*a(n-2)+(279*n^2-2835*n+ 5328)*a(n-3)+(10*n^2-98*n+768)*a(n-4)+(-236*n^2+2914*n-8364)*a(n-5)+(96*n^2-984 *n+2208)*a(n-6)+(-87*n^2+861*n-2244)*a(n-7)+(72*n^2-1164*n+4920)*a(n-8)+(96*n^2 -2040*n+11784)*a(n-9)+(-64*n^2+1856*n-13536)*a(n-10)+(-2*n^2+82*n-720)*a(n-11)+ (8*n^2-340*n+3168)*a(n-12)-6*(n-13)*(n-16)*a(n-13)+12*(2*n-29)*(n-16)*a(n-14) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 8, a(9) = 18, a(10) = 45, a(11) = 122, a(12) = 354, a(13) = 1084, a(14) = 3458} , [1, 1, 1, 1, 1, 2, 4, 8, 18, 45, 122, 354, 1084, 3458, 11379, 38348, 131670, 458889, 1618872, 5769135, 20735878, 75078884, 273574534, 1002433018, 3691281207 , 13652372422, 50693499962, 188904707823, 706214223856, 2647947813867, 9955284948941, 37521015246216, 141738728886746, 536563910351055, 2035201074293395, 7733694636843407, 29437940387316452, 112233005848500961, 428531883562050570, 1638534667812222057, 6273388130046401008, 24048604822003888486, 92297246294968796318, 354626435363335842458, 1363991102966831374763, 5251538613785139661020, 20238320779022837725116, 78064783120688319238391, 301376880397313514634004, 1164451568505634053256169], 9770110363922540377526690063999409536450528953949093846805142163781711227650479\ 5614114036523610412995568816049453470926767890559859997197837408273708887227232\ 7363470806661229466691741496948760525475905037277802080216992319403078339655678\ 8899996580694992145080540627355022633040627074780606145626698125993011829150841\ 8602419339640551925178847066941386409449541506782400065555545229626838286051008\ 6923601129664644665677067165005562257982350527998971255415571806065115963287800\ 6423932741926584454959440217233219023438873501412381076775542265367348216347068\ 50579787516271061373555154502691527324084] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 2, 3} [P^2*x^9-2*P^2*x^6+3*P^2*x^4-2*P*x^5-2*P*x^4+P*x^3-3*P^2*x+2*P*x^2+2*P^2+2*P*x-\ 4*P+x+2, (C*x-x-1)/((x^5-x^2+x)*C-x^5+x^2-1), {-4*n*(n-3)*a(n)+(42*n^2-210*n+ 160)*a(n-1)+(-140*n^2+942*n-1240)*a(n-2)+(149*n^2-1185*n+1980)*a(n-3)-4*n*(5*n-\ 27)*a(n-4)+(30*n^2+36*n-840)*a(n-5)+(-129*n^2+1053*n-1932)*a(n-6)+8*(2*n-13)*(n -31)*a(n-7)+(86*n^2-438*n-944)*a(n-8)+(-22*n^2+210*n-480)*a(n-9)+(-4*n^2+246*n-\ 1288)*a(n-10)+(-19*n^2-213*n+2524)*a(n-11)+(14*n^2-186*n+672)*a(n-12)+(-8*n^2+ 252*n-1656)*a(n-13)-2*(n-9)*(n-12)*a(n-15)+4*(2*n-21)*(n-12)*a(n-16) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 14, a(9 ) = 41, a(10) = 125, a(11) = 395, a(12) = 1288, a(13) = 4306, a(14) = 14683, a( 15) = 50865, a(16) = 178494}, [1, 1, 1, 1, 1, 2, 5, 14, 41, 125, 395, 1288, 4306, 14683, 50865, 178494, 633120, 2266143, 8174583, 29687454, 108454117, 398277652, 1469411977, 5443887705, 20244369228, 75539790078, 282742695022, 1061294474998, 3994002927631, 15066760903052, 56962848000449, 215801111247446, 819111791556576, 3114611969316822, 11862747934620606, 45252378063139380, 172874396814258711, 661325502452061846, 2533148457640917541, 9714829442842210585, 37300089578731795876, 143369920330090312837, 551639160764491593439, 2124605412249204880234, 8190427802093268041398, 31602430170841423653691, 122039895544485579685681, 471665098340954178606257, 1824317714592958472962295, 7061343237767222107968362], 638069405476626090148098\ 7732491702285676194260556921184100162818607249133217805990741197303201930369710\ 9900508894528391660992309874766628874655475230838405596317623997042660843083181\ 5880514449054104324645501353832840702285258136225953382596502264348840385756902\ 7508240977790903123394333353958316323322154951050284894141201564447032605925926\ 6522293233712241147073245010047121993415072061657738998558997877861324139747205\ 2080774646566200830904664383279747022169045390562991428241741575710416687167411\ 2692858184218919931709503319395030018789816603784031599789906068250899306149098\ 879611850012962749] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 2, 4} [P^2*x^10-2*P^2*x^8+2*P^2*x^7-P^2*x^6-2*P*x^7+P^2*x^5+2*P^2*x^4-5*P^2*x^3-P*x^4 +5*P^2*x^2+4*P*x^3+x^4-3*P^2*x-6*P*x^2+P^2+4*P*x+2*x^2-2*P-x+1, (C*x^2-x^2-1)/( (x^5-x^3+x^2)*C-x^5+x^3-x^2+x-1), {-4*n*(n-4)*a(n)+(52*n^2-304*n+240)*a(n-1)+(-\ 270*n^2+2004*n-2784)*a(n-2)+(778*n^2-6808*n+12816)*a(n-3)+(-1502*n^2+15080*n-\ 35088)*a(n-4)+(2035*n^2-23179*n+63546)*a(n-5)+(-1907*n^2+24839*n-79122)*a(n-6)+ (1118*n^2-17372*n+65436)*a(n-7)+(-190*n^2+5944*n-32820)*a(n-8)+(-409*n^2+1375*n +15258)*a(n-9)+(528*n^2-2094*n-23160)*a(n-10)+(-313*n^2-299*n+34866)*a(n-11)+( 11*n^2+2281*n-30354)*a(n-12)+(117*n^2-1785*n+9906)*a(n-13)+(-64*n^2-44*n+7128)* a(n-14)+(-41*n^2+1667*n-13866)*a(n-15)+(120*n^2-3474*n+24900)*a(n-16)+(-77*n^2+ 2285*n-16818)*a(n-17)-2*(11*n-134)*(n-15)*a(n-18)+20*(2*n-27)*(n-16)*a(n-19) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 36, a(10) = 105, a(11) = 320, a(12) = 1014, a(13) = 3314, a(14) = 11094, a(15) = 37852, a(16) = 131151, a(17) = 460210, a(18) = 1632104, a(19) = 5840549}, [1, 1, 1, 1, 1, 2, 5, 13, 36, 105, 320, 1014, 3314, 11094, 37852, 131151, 460210, 1632104, 5840549, 21063257, 76475617, 279310304, 1025464908, 3782480308, 14010232742, 52089307237, 194327053052, 727221828287, 2729191912303 , 10269128522813, 38732564533495, 146414145246378, 554604745222345, 2104820063652408, 8002408827708981, 30475438174224830, 116240270308008178, 444016309782557965, 1698395685501301825, 6504917238597476822, 24944560489895238832, 95766138985454325073, 368063995412965459089, 1416071617153831829844, 5453493414579768467056, 21021849571261053556707, 81106190785859931080710, 313188506385711166578886, 1210345596673558782425509, 4681110844528626579543887], 408755664692226840258936833003466685438192595170925\ 5853912183624254807345642042728358947512436404834703614601976369802741225170111\ 7169662270230574123155981218524585775504956404821053921706914336689802230911017\ 4353689274568834164957600485115339826423825361711665549566191201799038862003901\ 6390691793026013978139378539082458943308617503816888138403259695736011387278515\ 1722666739197150754501840586010575941461534154931919792084631396102421503471580\ 7158050125004324340588749172026497792128594769328767642599155853957074478585916\ 9051172983427507346558235258611899586542518902777734758901477654871722] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 2, 5} [P^2*x^11-2*P^2*x^9+3*P^2*x^7-2*P*x^8+P^2*x^6-2*P*x^7-3*P^2*x^5+2*P*x^6-P^2*x^4 +3*P*x^5+2*P^2*x^3-2*P*x^4+x^5+2*P^2*x^2-4*P*x^3+2*x^4-3*P^2*x+x^3+P^2+4*P*x-x^ 2-2*P-x+1, (-1+(x^3+x^2)*C)/((x^6-x^4+x^2)*C+x-1), {-5*n*(n-5)*a(n)+(65*n^2-445 *n+360)*a(n-1)+(-316*n^2+2696*n-3888)*a(n-2)+(698*n^2-7042*n+13848)*a(n-3)+(-\ 592*n^2+6968*n-16728)*a(n-4)+(-242*n^2+2878*n-9192)*a(n-5)+(533*n^2-8281*n+ 29760)*a(n-6)+(397*n^2-4049*n+10008)*a(n-7)+(-736*n^2+12032*n-49128)*a(n-8)+(-\ 310*n^2+1838*n+6000)*a(n-9)+(629*n^2-10669*n+45528)*a(n-10)+(252*n^2+180*n-\ 26784)*a(n-11)+(-425*n^2+5773*n-12408)*a(n-12)+(-155*n^2-209*n+18840)*a(n-13)+( 275*n^2-3799*n+9888)*a(n-14)+(-84*n^2+3768*n-35304)*a(n-15)+(-64*n^2+800*n+24)* a(n-16)+(130*n^2-4466*n+37488)*a(n-17)+4*(n-12)*(4*n-53)*a(n-18)-3*(n-16)*(33*n -541)*a(n-19)+2*(n-12)*(n-11)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 22 , a(10) = 57, a(11) = 158, a(12) = 465, a(13) = 1434, a(14) = 4589, a(15) = 15114, a(16) = 50915, a(17) = 174641, a(18) = 607869, a(19) = 2141552, a(20) = 7621736, a(21) = 27360589}, [1, 1, 1, 1, 1, 2, 4, 9, 22, 57, 158, 465, 1434, 4589, 15114, 50915, 174641, 607869, 2141552, 7621736, 27360589, 98951106, 360179944, 1318498536, 4850854577, 17926647840, 66515476602, 247696102570, 925427625002, 3467896616815, 13031068147166, 49089365350120, 185354475996958, 701376791235317, 2659285684525206, 10101447591601796, 38437319142118258, 146495597740356943, 559182871749188730, 2137473824766967105, 8181422986921887145, 31354839881999184310, 120308812014512043221, 462146121194441563185, 1777151107834922532059, 6840828801118702515945, 26357872913882453411148, 101650342212464123202981, 392360447004284940618187, 1515730043583645948719177], 126275194807721400321108934566416119379239610386864\ 9604990665367922219431142190306683570497917369470569517779733407254867830609444\ 5855358664246511751254686549774846735204651954222983395587094123623061078821684\ 1009983987173630243858072294247322374669165072744522389605519062435984310797131\ 3480441636492161786772722933117838082925662661232709822829541472047599967557775\ 0190910314260344657311092131877691765944947854290572700875459028453073939009394\ 2388517098570723471028373239567186635558483377828633732218664276365658213640671\ 5195738185912213248505182753173423636476135129283713621622539393092661] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 3, 4} [P^2*x^10-2*P^2*x^9+3*P^2*x^8-2*P^2*x^7-2*P*x^8-P^2*x^6+2*P*x^7+5*P^2*x^5-2*P*x ^6-6*P^2*x^4-2*P*x^5+x^6+4*P^2*x^3+5*P*x^4-6*P*x^3-2*P^2*x+2*P*x^2+2*x^3+P^2+2* P*x-x^2-2*P+1, (C*x^3-x^3-1)/((x^5-x^4+x^3)*C-x^5+x^4-x^3+x-1), {-4*n*(n-4)*a(n )+3*(15*n-14)*(n-5)*a(n-1)+(-170*n^2+1304*n-1800)*a(n-2)+(211*n^2-1987*n+3654)* a(n-3)+(172*n^2-1312*n+2856)*a(n-4)+(-842*n^2+8246*n-20220)*a(n-5)+(1073*n^2-\ 10727*n+26250)*a(n-6)+(-480*n^2+3384*n-2004)*a(n-7)+(-471*n^2+7569*n-28962)*a(n -8)+(976*n^2-11782*n+29880)*a(n-9)+(-822*n^2+8352*n-9576)*a(n-10)+(492*n^2-7038 *n+27312)*a(n-11)+(-445*n^2+13675*n-104118)*a(n-12)+(538*n^2-20386*n+169452)*a( n-13)+(-448*n^2+17548*n-150264)*a(n-14)+(115*n^2-5827*n+57126)*a(n-15)+(268*n^2 -7168*n+47544)*a(n-16)+(-431*n^2+12815*n-94710)*a(n-17)+(358*n^2-10978*n+83580) *a(n-18)+(-182*n^2+5726*n-44604)*a(n-19)+28*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 35, a(10) = 100, a(11) = 301, a(12) = 946, a(13) = 3074, a(14) = 10249, a(15) = 34865, a(16) = 120530, a(17) = 422207, a(18) = 1495283, a(19) = 5345059, a(20 ) = 19259051}, [1, 1, 1, 1, 1, 2, 5, 13, 35, 100, 301, 946, 3074, 10249, 34865, 120530, 422207, 1495283, 5345059, 19259051, 69872964, 255035860, 935844251, 3450326435, 12774847578, 47479622716, 177075313786, 662479787735, 2485612155345 , 9350550349638, 35260896556075, 133266692555463, 504720084281232, 1915210331226515, 7280514552099053, 27722721485154469, 105728306610412153, 403818392569765788, 1544478663273374071, 5914849372827717443, 22679807840923789037, 87064188468814038148, 334593280156617919140, 1287204156260224015103, 4956866296560088012514, 19106240241153268604249, 73710910486841010652559, 284615457924271430856927, 1099862218928639745073607, 4253586402868758729953192], 370731794988876460835531809734723159101067084823012\ 6738080054672565439746940370578658789732840882186204190157896866645424995688841\ 0547067313164451416398113981275153373678803623607834324960526616526728250886981\ 2006810944838774281039406981161221641375431900870729253872036696562962236656279\ 7063382981148963333047555809364428202682851134210199033315258898785674604316086\ 0703960685496647793821104785230227849347535458282971564697814786433121512612712\ 7345669901956475250570022661931110539388901686864716731824768413139075885846099\ 9770782893231058635268210092252465227652742333743717512519660569485945] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 3, 5} [P^2*x^11-2*P^2*x^10+3*P^2*x^9-4*P^2*x^8-2*P*x^9+5*P^2*x^7+2*P*x^8-3*P^2*x^6-4* P*x^7+P^2*x^5+4*P*x^6+x^7-3*P*x^5-P^2*x^3+2*x^5+3*P^2*x^2-3*P^2*x-2*P*x^2+P^2+4 *P*x-2*P-x+1, (-1+(x^4+x^2)*C)/((x^6-x^5+x^4-x^3+x^2)*C+x-1), {-5*n*(n-5)*a(n)+ (65*n^2-445*n+360)*a(n-1)+(-324*n^2+2754*n-3972)*a(n-2)+(802*n^2-7988*n+15732)* a(n-3)+(-1093*n^2+12383*n-30156)*a(n-4)+(832*n^2-10586*n+30396)*a(n-5)+(-272*n^ 2+4282*n-15060)*a(n-6)+(-277*n^2+1895*n-432)*a(n-7)+(861*n^2-7227*n+5448)*a(n-8 )+(-1350*n^2+10176*n+10032)*a(n-9)+(1377*n^2-7515*n-48312)*a(n-10)+(-1006*n^2+ 1082*n+90336)*a(n-11)+(651*n^2+2049*n-95172)*a(n-12)+(-483*n^2+1497*n+40104)*a( n-13)+(457*n^2-8519*n+42024)*a(n-14)+(-596*n^2+17014*n-123780)*a(n-15)+(834*n^2 -26076*n+203832)*a(n-16)+(-962*n^2+31216*n-253212)*a(n-17)+(880*n^2-29258*n+ 243120)*a(n-18)+(-629*n^2+21145*n-177456)*a(n-19)+(382*n^2-13142*n+112536)*a(n-\ 20)+(-182*n^2+6454*n-56784)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a (2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 21, a(10) = 54, a(11) = 148, a(12) = 434, a(13) = 1336, a(14) = 4276, a(15) = 14091 , a(16) = 47513, a(17) = 163131, a(18) = 568350, a(19) = 2004095, a(20) = 7138242, a(21) = 25643300, a(22) = 92799708}, [1, 1, 1, 1, 1, 2, 4, 9, 21, 54, 148, 434, 1336, 4276, 14091, 47513, 163131, 568350, 2004095, 7138242, 25643300, 92799708, 337981508, 1237867695, 4556287643, 16844977665, 62525233842, 232915335182, 870471571938, 3262872040657, 12263815364846, 46209980359967, 174520448130838, 660514667493830, 2504826261809522, 9516387395374542, 36216992558719310, 138054340423900193, 527037332851405257, 2014867831238837750, 7713107565156216294, 29563561612253288981, 113448389589387841509, 435839192588876200474, 1676157982751794922150, 6452688205951487768432, 24864606779660730029018, 95899738624220246823417, 370193974959925597953724, 1430210170648924541756991], 119520226516555110790852070390810821475345138785865\ 2009195855458561127527934648390578075981384200831752730805119596941759621956671\ 4371349913934188357791326278145015254200361493026493838623760203855918008588010\ 5454739412367228517470436213830953633265406357208859288461759066064915776644721\ 2984396954667747943787211143403569345632064685986312843482867067013095366026311\ 9601954110589566879681570018096892315885536970714641936404433407604292841329457\ 2483692510004468522840888455367495751986399932372685267455481813026049247509872\ 4846425356774768519765819294544895643821191621755075510980538779342755] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 4, 5} [P^2*x^11-2*P^2*x^10+P^2*x^9+2*P^2*x^8-2*P*x^9-2*P^2*x^7+P^2*x^6+2*P*x^7-P^2*x^ 5-2*P*x^6+x^7+P^2*x^4-P*x^5+2*x^6+P^2*x^3-2*P*x^4+x^5-2*P^2*x+2*P*x^2-x^3+P^2+2 *P*x-x^2-2*P+1, (-1+(x^4+x^3)*C)/((x^6-x^5+x^3)*C+x-1), {-5*n*(n-5)*a(n)+4*(14* n-13)*(n-6)*a(n-1)+(-211*n^2+1829*n-2604)*a(n-2)+(279*n^2-2835*n+5328)*a(n-3)+( 4*n^2-56*n+696)*a(n-4)+(-168*n^2+2298*n-6972)*a(n-5)+(-166*n^2+1820*n-5292)*a(n -6)+22*(2*n-9)*(7*n-50)*a(n-7)+(-156*n^2+174*n+8100)*a(n-8)+(240*n^2-552*n-\ 11832)*a(n-9)+(-253*n^2+2957*n-8112)*a(n-10)+(-76*n^2-2626*n+35532)*a(n-11)+( 300*n^2-264*n-27864)*a(n-12)+(-176*n^2+2626*n-14100)*a(n-13)+(-6*n^2-942*n+ 13464)*a(n-14)+(11*n-312)*(n-29)*a(n-15)+(40*n^2-200*n-5424)*a(n-16)+(100*n^2-\ 3632*n+32208)*a(n-17)+(-248*n^2+8272*n-69264)*a(n-18)+(144*n^2-4884*n+41688)*a( n-19)+(96*n^2-3492*n+31248)*a(n-20)+(-142*n^2+5114*n-45624)*a(n-21)+28*(2*n-33) *(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2 , a(7) = 4, a(8) = 8, a(9) = 18, a(10) = 45, a(11) = 121, a(12) = 350, a(13) = 1072, a(14) = 3422, a(15) = 11269, a(16) = 38007, a(17) = 130587, a(18) = 455363, a(19) = 1607141, a(20) = 5729370, a(21) = 20598920, a(22) = 74600787}, [1, 1, 1, 1, 1, 2, 4, 8, 18, 45, 121, 350, 1072, 3422, 11269, 38007, 130587, 455363, 1607141, 5729370, 20598920, 74600787, 271886477, 996414805, 3669645983, 13574032386, 50408044639, 187858789918, 702363076728, 2633705278992, 9902404435621, 37323977267534, 141002169370799, 533802404385811, 2024819656257432, 7694570446073234, 29290155998120182, 111673593349520311, 426410153551716450, 1630472659088094034, 6242702262122019379, 23931620526639774327, 91850596382149600520, 352918710144385222453, 1357453119876685685251, 5226476842009750190952, 20142139224554654849886, 77695247612931409632181, 299955601093407671999243, 1158979669907593454613111], 9730164356723671478993819490864739420932101262951054592390475021732871641730092\ 7365542406167822279090263952642124860989002643107663258660760407025178578386727\ 3605729223505348918399603322469208443722737602953109008259646546202738822929312\ 2383350349578328601395809517748913795913516539891151117003441810952166270230357\ 5267203169972461545762772923406148186292645156043981222338609498984972520616769\ 3995307312563583503433183186356406083161536772298149205020847220779429101440080\ 2233412136069059618777004221257516807413969274007841876235398213747523444345541\ 51973005912566177549583870813280771110039] ---------------------------- (A,B)= , {2, 3, 4, 5}, {2, 3, 4} [P^2*x^8-2*P*x^8+x^8-2*P^2*x^5+3*P^2*x^4+2*P*x^5-P^2*x^3-5*P*x^4+P^2*x^2+2*P*x^ 3+2*x^4-2*P^2*x-x^3+P^2+2*P*x-2*P+1, (C*x^4-x^4-1)/(C*x^4-x^4+x-1), {-4*n*(n-4) *a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-176*n^2+1340*n-1848)*a(n-2)+(294*n^2-2616*n+ 4788)*a(n-3)+(-271*n^2+2605*n-5670)*a(n-4)+(322*n^2-3052*n+7140)*a(n-5)+(-505*n ^2+5119*n-12822)*a(n-6)+(425*n^2-4709*n+12570)*a(n-7)+(-170*n^2+2084*n-5856)*a( n-8)+(109*n^2-997*n+6)*a(n-9)+(-68*n^2-1234*n+19836)*a(n-10)+(-85*n^2+3997*n-\ 35442)*a(n-11)+(104*n^2-3284*n+25272)*a(n-12)-18*(n-13)*(7*n-146)*a(n-13)+(214* n^2-6988*n+55872)*a(n-14)+(-120*n^2+3828*n-30336)*a(n-15)+4*(n-12)*(n-16)*a(n-\ 16)-6*(5*n-66)*(n-17)*a(n-17)+28*(2*n-29)*(n-18)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 35, a(10 ) = 99, a(11) = 296, a(12) = 927, a(13) = 3007, a(14) = 10016, a(15) = 34053, a (16) = 117681, a(17) = 412135, a(18) = 1459409}, [1, 1, 1, 1, 1, 2, 5, 13, 35, 99, 296, 927, 3007, 10016, 34053, 117681, 412135, 1459409, 5216381, 18794469, 68185586, 248873901, 913231007, 3366968563, 12466320485, 46333460494, 172802971106, 646505177709, 2425711782215, 9125351144866, 34412193534041, 130061022061957, 492586562173387, 1869195549139564, 7105693378976505, 27057408625918244, 103192320944869283, 394137518180823153, 1507471064960241603, 5773191527449966919, 22136893161836024132, 84980973077602194855, 326590863455926978889, 1256431328865008251650, 4838412320876630820245, 18649839497554763142295, 71950809799724810886675, 277821786176646220347909, 1073618210446057374057911, 4152125623768452781927058], 362040516154412813133794\ 2370680388732564199901034519075011857739156631945058597179071627567205349735552\ 0730244760863725773481145373733978598640471499227376259640045437221786104506146\ 7740685486043834051735821495608077905067430296260806352602417140969669677988933\ 2158760222081587429613865449665703275665311342885433701947585555224911057510818\ 7685882324997542321505243506203607597479081647171718306195508228596352174873637\ 2828843526390667825861884580179753464644116605682583671288243676730414525026656\ 3823716373777164035110983971942881072609787710759222071998257377014152139785261\ 491914159221175948] ---------------------------- (A,B)= , {2, 3, 4, 5}, {2, 3, 5} [P^2*x^9-2*P*x^9-2*P^2*x^7+x^9+2*P^2*x^6+2*P*x^7+2*P^2*x^5-4*P*x^6-3*P^2*x^4-P* x^5+2*x^6+4*P*x^4+3*P^2*x^2-2*P*x^3-x^4-3*P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+1, (-1+(x^5+x^2)*C)/((x^5-x^3+x^2)*C+x-1), {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n -1)+(-324*n^2+2754*n-3972)*a(n-2)+(795*n^2-7935*n+15636)*a(n-3)+(-1002*n^2+ 11526*n-28188)*a(n-4)+(392*n^2-5686*n+16944)*a(n-5)+(690*n^2-8262*n+25392)*a(n-\ 6)+(-1063*n^2+15839*n-58956)*a(n-7)+(263*n^2-7465*n+42828)*a(n-8)+(593*n^2-5197 *n-840)*a(n-9)+(-511*n^2+7217*n-20988)*a(n-10)+(35*n^2-4117*n+41436)*a(n-11)+(6 *n^2+6036*n-76224)*a(n-12)+(114*n^2-5970*n+61368)*a(n-13)+(86*n^2-3310*n+28824) *a(n-14)+(-277*n^2+9959*n-87540)*a(n-15)+(74*n^2-2794*n+25944)*a(n-16)+(202*n^2 -6974*n+60072)*a(n-17)+(-132*n^2+4692*n-41520)*a(n-18)-6*(5*n-76)*(n-19)*a(n-19 )+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 21, a(10) = 53, a(11) = 145, a(12) = 424, a(13) = 1306, a(14) = 4182, a(15) = 13793, a(16) = 46543, a(17) = 159913, a(18) = 557477, a(19) = 1966790, a(20) = 7008525}, [1, 1, 1, 1, 1, 2, 4, 9, 21, 53, 145, 424, 1306, 4182, 13793, 46543, 159913, 557477, 1966790, 7008525, 25187057, 91179065, 332175308, 1216910503, 4480147727, 16566751790, 61503332462 , 229144735743, 856501444657, 3210919576535, 12069959637379, 45484395413555, 171796983035170, 650265707501207, 2466165149638928, 9370227755875156, 35663298791356562, 135952795766928688, 519046749278054093, 1984435248242885138, 7597023149384424774, 29120113956807637714, 111752074995413222068, 429341912989895218510, 1651241526530311167796, 6357025738172673001620, 24496926095039558018308, 94485087343119833740725, 364745755345611867840473, 1409207941062791843638894], 117913723396229156428870942894588288951581574273228\ 0124355290055617126058632954273649415689160128742385678150655686551376743199003\ 2801876793580577988094888758657315807749510947548788719199306840575233374754635\ 8762149293548674349987177845699858039914847637914998647343950201351743363334376\ 7770368747149599398536144079605777952998883329135218398732046168827975069012835\ 9346938943175288126314841738445021551476049892243384629491104277183977466075052\ 1459401411640663493854484827274107455054889403211024421133577140896540259797237\ 5365414208346129572011555824769027884976718076134660603207464274931202] ---------------------------- (A,B)= , {2, 3, 4, 5}, {2, 4, 5} [P^2*x^9-2*P^2*x^8-2*P*x^9+3*P^2*x^7+2*P*x^8+x^9-2*P^2*x^6-4*P*x^7+2*P^2*x^5+2* P*x^6+2*x^7-2*P^2*x^4-3*P*x^5+2*P^2*x^3+2*P*x^4+x^5-2*P*x^3-x^4-2*P^2*x+2*P*x^2 +P^2+2*P*x-x^2-2*P+1, (-1+(x^5+x^3)*C)/((x^5-x^4+x^3)*C+x-1), {-5*n*(n-5)*a(n)+ 4*(14*n-13)*(n-6)*a(n-1)+(-211*n^2+1829*n-2604)*a(n-2)+(272*n^2-2782*n+5232)*a( n-3)+(89*n^2-853*n+2520)*a(n-4)+(-540*n^2+6324*n-17760)*a(n-5)+(554*n^2-6514*n+ 18744)*a(n-6)+(-337*n^2+2915*n-4488)*a(n-7)+(189*n^2+819*n-17304)*a(n-8)+(-88*n ^2-4606*n+47172)*a(n-9)+(-108*n^2+8130*n-70536)*a(n-10)+(292*n^2-8990*n+66636)* a(n-11)+(-198*n^2+3180*n-13680)*a(n-12)+(-109*n^2+6665*n-67368)*a(n-13)+(370*n^ 2-13388*n+115896)*a(n-14)+(-487*n^2+16019*n-131064)*a(n-15)+(550*n^2-17804*n+ 144072)*a(n-16)+(-509*n^2+16837*n-138984)*a(n-17)+(382*n^2-13142*n+112536)*a(n-\ 18)+(-182*n^2+6454*n-56784)*a(n-19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a (2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 8, a(9) = 18, a(10) = 44, a(11) = 118, a(12) = 342, a(13) = 1048, a(14) = 3349, a(15) = 11042 , a(16) = 37278, a(17) = 128188, a(18) = 447306, a(19) = 1579604, a(20) = 5633864}, [1, 1, 1, 1, 1, 2, 4, 8, 18, 44, 118, 342, 1048, 3349, 11042, 37278, 128188, 447306, 1579604, 5633864, 20263572, 73410922, 267626779, 981047196, 3613831542, 13370119986, 49659181768, 185095824178, 692126504798, 2595637142599 , 9760353525990, 36792273612315, 139006339836142, 526291286157748, 1996484588289628, 7587442266409318, 28884299084987304, 110133066397513822, 420552326207460598, 1608161399497422442, 6157591190468440455, 23606472656007895348, 90606738306523749890, 348154166801181838698, 1339180506211391668136, 5156318388671389358528, 19872469236447806903722, 76657638171579988461645, 295959272529349432798014, 1143573545416524280035375], 9612021239045932667999937295605127449326737884727530672362397686554632812437358\ 6227684652039225052265367329031104872200658369265281693044849355284737178593313\ 4275773956249173852711196270906949689571490911706721793771942327327702032217306\ 1525796416467133226228658137775003402793827993060761457760069093650572066155742\ 6808930979934300316905199975800871692444219536828521833642027602997662003269893\ 3392469295237970543052433903779565507964516441865819349926863955799827495670784\ 9679047733212630025507304987312470969679332349298196013969576795457759057183396\ 55303197383878472374263371386139106098091] ---------------------------- (A,B)= , {2, 3, 4, 5}, {3, 4, 5} [P^2*x^7-2*P*x^8+x^9-2*P*x^7+2*x^8+x^7+P^2*x^4-P*x^5-P^2*x^3+P^2*x^2+2*P*x^3-x^ 4-2*P^2*x-x^3+P^2+2*P*x-2*P+1, (-1+(x^5+x^4)*C)/(C*x^4+x-1), {-5*n*(n-5)*a(n)+4 *(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(369*n^2-3663*n+6984)*a(n -3)+(-339*n^2+3699*n-8640)*a(n-4)+(318*n^2-3780*n+10632)*a(n-5)+(-293*n^2+3865* n-12372)*a(n-6)+(123*n^2-1845*n+6552)*a(n-7)+(-18*n^2+888*n-5700)*a(n-8)+(-61*n ^2-145*n+5436)*a(n-9)+(102*n^2-1938*n+11436)*a(n-10)+(-87*n^2+2667*n-21360)*a(n -11)+(67*n^2-1727*n+12120)*a(n-12)+(-37*n^2+1271*n-10764)*a(n-13)+(38*n^2-1294* n+10896)*a(n-14)+(-11*n^2+307*n-2136)*a(n-15)+2*(n-12)*(n-11)*a(n-16)+20*(2*n-\ 31)*(n-18)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 8, a(9) = 17, a(10) = 41, a(11) = 110, a(12) = 319, a(13) = 979, a(14) = 3134, a(15) = 10352, a(16) = 35009, a(17) = 120566}, [1, 1, 1, 1 , 1, 2, 4, 8, 17, 41, 110, 319, 979, 3134, 10352, 35009, 120566, 421243, 1489158, 5316091, 19135412, 69369966, 253041234, 928049957, 3420135181, 12658522935, 47032870341, 175362731199, 655921223495, 2460505169287, 9254437327432, 34892860914844, 131856760841117, 499315511805554, 1894479540277572, 7200938049544672, 27417030843833831, 104553098106315774, 399296861429393083, 1527068902935649198, 5847763191099882964, 22421105148907369959, 86065822534793310761, 330737679965006352898, 1272303697984896366646, 4899242178805735036933, 18883244039791749234179, 72847394067510997521449, 281269540675987528769747, 1086889742915911973992570], 9160978634924827990647583951370106205391893952894269323473747314613020977202683\ 2527407832803940873994882254938060919376088440951402190379708362048298604602649\ 4483007937647829181226112350574336109000743814582630388790889822073257256418211\ 0186714630908727682673748844467800177605680039465751300608991558348297164088956\ 9098272573675161351655317071930919950240362569824203167209248517332957188852509\ 7671378726164735070048166128504615263879538551977507648043301246456410621083621\ 2378039225415573111327929324105500259439192304496452481209405122497016564288760\ 24922789985158956271965632283522154835549] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 2, 3, 4} [P^2*x^10-2*P^2*x^6+3*P^2*x^5-P^2*x^4-2*P*x^5+P*x^4+P^2*x^2-2*P^2*x+P^2+2*P*x-2 *P+1, -1/(C*x^5-x^5+x-1), {-4*n*(n-4)*a(n)+3*(15*n-14)*(n-5)*a(n-1)+(-176*n^2+ 1340*n-1848)*a(n-2)+(289*n^2-2587*n+4746)*a(n-3)-2*(103*n-342)*(n-7)*a(n-4)+(7* n^2-361*n+1470)*a(n-5)+(215*n^2-1547*n+1818)*a(n-6)+(-412*n^2+3400*n-4800)*a(n-\ 7)+(346*n^2-3220*n+5448)*a(n-8)+(-104*n^2+1100*n-2256)*a(n-9)-2*(n+20)*(n-6)*a( n-10)+(23*n^2+85*n-1614)*a(n-11)+(-70*n^2+202*n+2364)*a(n-12)+(40*n^2-268*n-528 )*a(n-13)-2*(n-10)*(n-12)*a(n-16)+4*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 5, a(8) = 13, a(9) = 35, a( 10) = 99, a(11) = 295, a(12) = 921, a(13) = 2982, a(14) = 9924, a(15) = 33729, a(16) = 116552, a(17) = 408191}, [1, 1, 1, 1, 1, 2, 5, 13, 35, 99, 295, 921, 2982, 9924, 33729, 116552, 408191, 1445537, 5167209, 18618840, 67553839, 246586775, 904902409, 3336479596, 12354175211, 45919184232, 171266598464, 640787126728, 2404361176348, 9045392626371, 34111926990897, 128930591384452, 488320835619050, 1853063843376203, 7044565470514929, 26825342813360835, 102309766682103963, 390775642695251430, 1494645172108577733, 5724188925125147381, 21949419821258230940, 84262823139697333622, 323836538701694550023, 1245855577624014107653, 4797760757647455203437, 18493420645492154007970, 71348355044399733678817, 275499249480548294883762, 1064656635966700242579538, 4117518001868972954994618], 359205447978782217888622\ 9417664879787149294778943493646183904181162573320251686215301240138189361195671\ 8240709306213855423746004134305998885133092871292322516371223855445494360884210\ 5108076271488879266248768555411856373137519825830301296197621680755516202404556\ 0419117177568008093179725320677604610204425331972336346311629895273566895826566\ 3569439503976466078171995485016541003587562576780673294164523345475680893774308\ 1459418291988198804494764563983148582442498670426259473661803988072507889965678\ 5963922865365895184794538900517717387150823193207635842781344617386317056770902\ 691550149413283319] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 2, 3, 5} [P^2*x^11-2*P^2*x^8+2*P^2*x^7+P^2*x^6-2*P*x^7-2*P^2*x^4+P*x^5+2*P*x^4+3*P^2*x^2 -2*P*x^3-3*P^2*x-2*P*x^2+x^3+P^2+4*P*x-2*P-x+1, (C*x^2-1)/((x^6-x^3+x^2)*C+x-1) , {-5*n*(n-5)*a(n)+(65*n^2-445*n+360)*a(n-1)+(-324*n^2+2754*n-3972)*a(n-2)+(795 *n^2-7935*n+15636)*a(n-3)+(-1008*n^2+11568*n-28260)*a(n-4)+(465*n^2-6351*n+ 18456)*a(n-5)+(375*n^2-4737*n+15468)*a(n-6)+(-509*n^2+8047*n-31236)*a(n-7)+(62* n^2-970*n+4032)*a(n-8)+(-66*n^2-2472*n+24624)*a(n-9)+(457*n^2-2453*n-14640)*a(n -10)+(-405*n^2+4413*n-5112)*a(n-11)+(75*n^2-897*n+3804)*a(n-12)+(-55*n^2+29*n+ 756)*a(n-13)+(120*n^2-1038*n-264)*a(n-14)+(-53*n^2+913*n-3768)*a(n-15)+(26*n^2-\ 1318*n+12360)*a(n-16)+(-25*n^2+971*n-8508)*a(n-17)+6*(n-13)*(n-12)*a(n-18)-2*(7 *n-92)*(n-15)*a(n-19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a(7) = 4, a(8) = 9, a(9) = 21, a(10) = 53, a (11) = 144, a(12) = 420, a(13) = 1292, a(14) = 4138, a(15) = 13656, a(16) = 46112, a(17) = 158528, a(18) = 552930, a(19) = 1951565, a(20) = 6956666}, [1, 1 , 1, 1, 1, 2, 4, 9, 21, 53, 144, 420, 1292, 4138, 13656, 46112, 158528, 552930, 1951565, 6956666, 25007803, 90551649, 329955598, 1208984825, 4451621970, 16463367561, 61126350872, 227762670772, 851410221070, 3192083789052, 12000003170052, 45223662907042, 170822110175411, 646610042540579, 2452420128241281, 9318420254496876, 35467582824670939, 135211872044631631, 516236341136287585, 1973755631586393991, 7556371343830201689, 28965127226252071516, 111160299847419837844, 427079210894387633198, 1642578476028920840282, 6323816835142697925924, 24369473540329084155257, 93995392623018813555784, 362862280381728073333716, 1401956430746932008820245], 1173843454440372441232162863246085678669533264600238491087790335405411365503488\ 5845733613389622959164308808810231494795125135210625454964343414426399859366380\ 1378964425727594778515710387965176219703794490173682228248630476653486906882404\ 4198101487522988712554661225276728507954007818702120447620440721798892441026725\ 9027071680037322856543927453369675494273905739139409357826296210474404493808499\ 8454828342394623958778428519824816850422386299678092196824822549540054055966746\ 2753967569256894896463123470122118797250900040937554967479880955518750561037133\ 525545063422608310967903139568812234158365] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 2, 4, 5} [P^2*x^11-2*P^2*x^9+2*P^2*x^8+P^2*x^7-2*P*x^8-P^2*x^6+2*P*x^6-P^2*x^4-P*x^5+2*P ^2*x^3+x^5-2*P*x^3-2*P^2*x+2*P*x^2+P^2+2*P*x-x^2-2*P+1, (C*x^3-1)/((x^6-x^4+x^3 )*C+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-211*n^2+1829*n-2604)*a(n-\ 2)+(272*n^2-2782*n+5232)*a(n-3)+(83*n^2-811*n+2448)*a(n-4)+(-472*n^2+5708*n-\ 16368)*a(n-5)+(292*n^2-3710*n+11244)*a(n-6)+(55*n^2-1487*n+7488)*a(n-7)+(-8*n^2 +1438*n-10356)*a(n-8)+(-33*n^2+633*n-2796)*a(n-9)+(-272*n^2+802*n+14760)*a(n-10 )+(343*n^2-2237*n-10200)*a(n-11)+(27*n^2+369*n-6576)*a(n-12)+(-247*n^2+1643*n+ 9852)*a(n-13)+(91*n^2-851*n-1944)*a(n-14)+(95*n^2-1819*n+9456)*a(n-15)+(-116*n^ 2+3136*n-22272)*a(n-16)+(6*n^2-234*n+2328)*a(n-17)+(126*n^2-4104*n+33264)*a(n-\ 18)+(-85*n^2+2813*n-23208)*a(n-19)-2*(11*n-156)*(n-17)*a(n-20)+20*(2*n-31)*(n-\ 18)*a(n-21) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5) = 1, a(6) = 2, a( 7) = 4, a(8) = 8, a(9) = 18, a(10) = 44, a(11) = 117, a(12) = 338, a(13) = 1036 , a(14) = 3313, a(15) = 10934, a(16) = 36947, a(17) = 127141, a(18) = 443904, a (19) = 1568292, a(20) = 5595506, a(21) = 20131371}, [1, 1, 1, 1, 1, 2, 4, 8, 18 , 44, 117, 338, 1036, 3313, 10934, 36947, 127141, 443904, 1568292, 5595506, 20131371, 72949074, 265994832, 975224829, 3592886758, 13294236100, 49382534536, 184081720159, 688390998650, 2581817337951, 9709026146479, 36600967845946, 138291022956148, 523608793199756, 1986398050962257, 7549421961031765, 28740658693862521, 109589250662534811, 418489437421984446, 1600321867062852403, 6127748213732003113, 23492687868486461450, 90172254822140404712, 346492782124011934127, 1332819302559259337224, 5131931974466868996414, 19778871307696941882981, 76297999238440599844783, 294575948160601725801693, 1138247377431828070550173], 957303936876436381682117146201380331634781303939308\ 6332844494027119837927588692765890588808384607665760263877870188979673987494088\ 0152257044176206185486699295943155854984106067636869636121226265528917724352157\ 9245811488357309178825874799274130532335482303860850357077187965464649310588974\ 5998101404160649568661177240067109035278375119436450286242385951222757495824976\ 3325699980389961958491564816965855792502438111999997604622447069969937192136906\ 6780503595070592495004031059091345076236843562793726448158943045780485677265691\ 800137827055589019721532736319960723070789095101177177183650855596702] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 3, 4, 5} [P^2*x^11-2*P^2*x^10+3*P^2*x^9-2*P^2*x^8-2*P*x^9+P^2*x^7+2*P*x^8+P^2*x^6-2*P*x^ 7-2*P^2*x^5+x^7+2*P^2*x^4+P*x^5-P^2*x^3-2*P*x^4+P^2*x^2+2*P*x^3-2*P^2*x-x^3+P^2 +2*P*x-2*P+1, (C*x^4-1)/((x^6-x^5+x^4)*C+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-\ 6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(369*n^2-3663*n+6984)*a(n-3)+(-345*n^2+ 3741*n-8712)*a(n-4)+(386*n^2-4396*n+12024)*a(n-5)+(-559*n^2+6719*n-20028)*a(n-6 )+(558*n^2-7014*n+21792)*a(n-7)+(-356*n^2+5530*n-21780)*a(n-8)+(98*n^2-4678*n+ 33420)*a(n-9)+(104*n^2+4982*n-55920)*a(n-10)+(-255*n^2-4689*n+72192)*a(n-11)+( 297*n^2+2751*n-61332)*a(n-12)+(-186*n^2-2232*n+47388)*a(n-13)+(5*n^2+4769*n-\ 60624)*a(n-14)+(79*n^2-5789*n+64716)*a(n-15)+(20*n^2+1484*n-25248)*a(n-16)+(-\ 202*n^2+5696*n-40020)*a(n-17)+(386*n^2-12526*n+101472)*a(n-18)+(-439*n^2+14759* n-123576)*a(n-19)+(358*n^2-12410*n+106968)*a(n-20)+(-182*n^2+6454*n-56784)*a(n-\ 21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5 ) = 1, a(6) = 2, a(7) = 4, a(8) = 8, a(9) = 17, a(10) = 41, a(11) = 109, a(12) = 315, a(13) = 967, a(14) = 3100, a(15) = 10252, a(16) = 34704, a(17) = 119604, a(18) = 418121, a(19) = 1478777, a(20) = 5280874, a(21) = 19013951, a(22) = 68945305}, [1, 1, 1, 1, 1, 2, 4, 8, 17, 41, 109, 315, 967, 3100, 10252, 34704, 119604, 418121, 1478777, 5280874, 19013951, 68945305, 251539526, 922688364, 3400835145, 12588556099, 46777656865, 174426741539, 652471942282, 2447739209144 , 9207006884121, 34716021647749, 131195337661020, 496834441820609, 1885148018872899, 7165755491789367, 27284082698051124, 104049661701800585, 397386789409453009, 1519808851268691897, 5820121641748753501, 22315697853887629953, 85663270615677753589, 329198188478577942876, 1266408458253786845040, 4876639386294483865436, 18796482045438677087202, 72513985692094678926033, 279986979962757341639874, 1081951065818375381721888], 9124704174951780833595818631871409951985987689007462834425302614213100047642778\ 8713766500289750185142647143153734976843354310039530916473963525337703888734332\ 9011767005278034879138128088031489902661308985073335459132045719296447180845767\ 7724629872437132154077427892473856799569005324118263082436465395192526162502777\ 8577908807592085028505112852352120791026181996947864138362823648774603942869472\ 5077562748355637422269815377689635180863064251310823923748671114302158350523604\ 0595823219418263689676869708430568619911584670427697155627846695002330483523593\ 27993320273286203961678741969549656080393] ---------------------------- (A,B)= , {2, 3, 4, 5}, {2, 3, 4, 5} [P^2*x^9-2*P*x^9+x^9+P^2*x^5-P^2*x^4-P*x^5+2*P*x^4+P^2*x^2-x^4-2*P^2*x+P^2+2*P* x-2*P+1, (C*x^5-1)/(C*x^5+x-1), {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219 *n^2+1887*n-2688)*a(n-2)+(362*n^2-3610*n+6888)*a(n-3)+(-260*n^2+2944*n-6888)*a( n-4)+(9*n^2-309*n+1056)*a(n-5)+(214*n^2-2468*n+7212)*a(n-6)+(-258*n^2+3456*n-\ 11832)*a(n-7)+(104*n^2-1618*n+6468)*a(n-8)+(6*n^2-216*n+1416)*a(n-9)-3*(9*n-91) *(n-52)*a(n-10)+(27*n^2-3675*n+38244)*a(n-11)+(-74*n^2+4312*n-43776)*a(n-12)+(n -17)*(53*n-1032)*a(n-13)+24*(n-14)*(n-26)*a(n-14)+(-61*n^2+2531*n-24252)*a(n-15 )+(52*n^2-1946*n+17880)*a(n-16)+4*(n-14)*(n-18)*a(n-18)-6*(5*n-76)*(n-19)*a(n-\ 19)+28*(2*n-33)*(n-20)*a(n-20) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a(5 ) = 1, a(6) = 2, a(7) = 4, a(8) = 8, a(9) = 17, a(10) = 40, a(11) = 106, a(12) = 307, a(13) = 945, a(14) = 3035, a(15) = 10051, a(16) = 34060, a(17) = 117485, a(18) = 410995, a(19) = 1454381, a(20) = 5196110}, [1, 1, 1, 1, 1, 2, 4, 8, 17, 40, 106, 307, 945, 3035, 10051, 34060, 117485, 410995, 1454381, 5196110, 18715802, 67885729, 247740797, 908966243, 3350940511, 12406087641, 46106945864, 171950138792, 643289723528, 2413569886916, 9079429424250, 34238237485867, 129401027081981, 490078697651332, 1859652038321744, 7069324582200213, 26918624004762913, 102662022685219634, 392108711548702961, 1499700035676371271, 5743391915896417676, 22022496179630292313, 84541361378151741309, 324899821035769238271, 1249920274979000381815, 4813319956838452745903, 18553054433511639473373, 71577185173035338954084, 276378315871551944867768, 1068037222453008799815904], 901737861535340153361968123004941533089552993409107\ 6041214674519891807160362300330321442270203117008122203374389533611995112996226\ 7122173402953224862979815239743595490472303234340251835888928370605099453815973\ 0111370560300309568360408168943704270220898361728737051129650919479788271260424\ 7078085457311773682604369107843826332433956261903126843335945402568003677998876\ 0078118957073510203566525772122866066497559971472107255091123702913307465969148\ 4215933517672446378397561320672376196650351764873340892456151974230014350697330\ 731286171418122888423638855330285219486691206133849590102436807973103] ---------------------------- (A,B)= , {2, 3, 4, 5}, {1, 2, 3, 4, 5} [P^2*x^11+P^2*x^6-P^2*x^5+P*x^5+P^2*x^2-2*P^2*x+P^2+2*P*x-2*P+1, -1/(C*x^6+x-1) , {-5*n*(n-5)*a(n)+4*(14*n-13)*(n-6)*a(n-1)+(-219*n^2+1887*n-2688)*a(n-2)+(362* n^2-3610*n+6888)*a(n-3)+(-266*n^2+2986*n-6960)*a(n-4)+(77*n^2-925*n+2448)*a(n-5 )-2*(26*n-37)*(n-6)*a(n-6)+(174*n^2-1668*n+3240)*a(n-7)+(-203*n^2+2305*n-5844)* a(n-8)+(76*n^2-998*n+3048)*a(n-9)-2*(2*n+11)*(n-6)*a(n-11)+(41*n^2-217*n-420)*a (n-12)+(-118*n^2+1088*n-1464)*a(n-13)+36*(n-4)*(2*n-17)*a(n-14)-(n-12)*(n-11)*a (n-17)+2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 1, a(2) = 1, a(3) = 1, a(4) = 1, a (5) = 1, a(6) = 2, a(7) = 4, a(8) = 8, a(9) = 17, a(10) = 40, a(11) = 105, a(12 ) = 303, a(13) = 933, a(14) = 3001, a(15) = 9953, a(16) = 33765, a(17) = 116559 , a(18) = 407991}, [1, 1, 1, 1, 1, 2, 4, 8, 17, 40, 105, 303, 933, 3001, 9953, 33765, 116559, 407991, 1444383, 5162150, 18598534, 67475277, 246287939, 903774760, 3332239537, 12338251165, 45859372791, 171041754160, 639940828009, 2401171069576, 9033348562073, 34066381649814, 128758080559651, 487666384005758, 1850577230570040, 7035103424479586, 26789286352452617, 102172179997010892, 390249941315504224, 1492634015689464593, 5716485709993566194, 21919880939737532245, 84149429321366149121, 323400789493239401078, 1244179417803078408036, 4791307089506483055375, 18468549712974105323199, 71252425007441447714522, 275128928694986018007610, 1063225940353895804891472], 8981952475547850910770269617635494864741343711014276914119577529011004253281595\ 4683096124302896677624884392718402225872245932523523551990559416724633322546062\ 5983602736964998698923796830964021393792554541138339159557164243472244509728152\ 6805633920223659810157124919363418975186020964906327634824980130153075414885508\ 5929330753197868518374410029624659614807150450244747544207423389389076868065926\ 1147742287552221166055547539747118982986913862758028039953491419463280817678342\ 9179154122346252715961590417062079474534823804325292757090992566928444191776762\ 15025563694147486466037675361335984284747] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {} [P^2*x^9+2*P^2*x^8+3*P^2*x^7-2*P*x^8+4*P^2*x^6-4*P*x^7+5*P^2*x^5-6*P*x^6+x^7+6* P^2*x^4-8*P*x^5+2*x^6+4*P^2*x^3-10*P*x^4+3*x^5+3*P^2*x^2-9*P*x^3+4*x^4+2*P^2*x-\ 6*P*x^2+5*x^3+P^2-4*P*x+3*x^2-2*P+2*x+1, ((x^4+x^3+x^2+x)*C-x^4-x^3-x^2-x-1)/(( x^5+x^4+x^3+x^2+x)*C-x^5-x^4-x^3-x^2-x-1), {-3*n*(n-3)*a(n)+16*(n-1)*(n-5)*a(n-\ 1)+6*(n-2)*(2*n-5)*a(n-2)-6*(n-3)*(7*n-60)*a(n-3)-(n-4)*(157*n-1169)*a(n-4)-(n-\ 5)*(299*n-2432)*a(n-5)+(-537*n^2+6705*n-20844)*a(n-6)+(-718*n^2+8718*n-25868)*a (n-7)+(-742*n^2+8376*n-19868)*a(n-8)+(-576*n^2+4626*n+4044)*a(n-9)+(-171*n^2-\ 4113*n+56496)*a(n-10)+(290*n^2-14142*n+116008)*a(n-11)+(724*n^2-23442*n+172280) *a(n-12)+(1014*n^2-29808*n+212604)*a(n-13)+(1104*n^2-31698*n+225768)*a(n-14)+2* (n-14)*(460*n-6571)*a(n-15)+6*(113*n-1536)*(n-15)*a(n-16)+3*(143*n-1909)*(n-16) *a(n-17)+2*(109*n-1456)*(n-17)*a(n-18)+36*(2*n-27)*(n-18)*a(n-19) = 0, a(1) = 0 , a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 19, a(10) = 62, a(11) = 207, a(12) = 704, a(13) = 2430, a(14) = 8497, a(15) = 30035, a(16) = 107153, a(17) = 385343, a(18) = 1395443, a(19) = 5084315}, [0, 0 , 0, 0, 0, 1, 2, 6, 19, 62, 207, 704, 2430, 8497, 30035, 107153, 385343, 1395443, 5084315, 18625353, 68560349, 253467169, 940731890, 3503857902, 13092596583, 49066333863, 184380315854, 694585436089, 2622615302134, 9923570788143, 37623591233534, 142906689941628, 543740751605616, 2072193354926297, 7909048868966662, 30229730291849075, 115697566949259028, 443364690721867439, 1701040377630458984, 6533666231895330509, 25122474748163636696, 96695742910158346275, 372537361268429341659, 1436579072763791650267, 5544566330569057145304, 21417383543190603397171, 82796057610646115724331, 320318508408204980841562, 1240135821619371634676398, 4804607737379812874206677], 451397016786767975429157636313811015111138172762733\ 0089933446872078695843982222166715840709217297092226385036284160404704742876276\ 4010040311468859303659519629633356719024046848223879583478226724830159623666213\ 2542783100437228928992736704639424959302375697107206872646520528163091260990236\ 5868905848710966023111009085100510877019295743744375141915381147507208969558135\ 2228983665295016306817950339501341765931514185913595899667950327045889786305876\ 0797009443508922711842876275911731105133666867928021552697487726387403441323228\ 3398848734718803487876543296747399863042186972823832505014442168542120] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1} [P^2*x^9+2*P^2*x^7+2*P^2*x^6-2*P*x^7+3*P^2*x^5-2*P*x^6+4*P^2*x^4-4*P*x^5+2*P^2* x^3-6*P*x^4+x^5+4*P^2*x^2-5*P*x^3+2*x^4+2*P^2*x-8*P*x^2+3*x^3+P^2-4*P*x+4*x^2-2 *P+2*x+1, ((x^3+x^2+x)*C-x^3-x^2-x-1)/((x^5+x^3+x^2+x)*C-x^5-x^3-x^2-x-1), {-3* n*(n-3)*a(n)+16*(n-1)*(n-5)*a(n-1)+4*(n-2)*(2*n-5)*a(n-2)-6*(n-3)*(n-40)*a(n-3) -8*(n-4)*(29*n-181)*a(n-4)-3*(n-5)*(113*n-880)*a(n-5)+(-537*n^2+6933*n-22212)*a (n-6)+(-478*n^2+5802*n-17216)*a(n-7)+(-478*n^2+5634*n-14696)*a(n-8)+(-337*n^2+ 2211*n+5560)*a(n-9)+(-128*n^2-630*n+18272)*a(n-10)+(93*n^2-5781*n+49212)*a(n-11 )+(132*n^2-4548*n+33192)*a(n-12)+(224*n^2-7176*n+52096)*a(n-13)+(214*n^2-6024*n +41456)*a(n-14)+(131*n^2-3627*n+24988)*a(n-15)+(142*n^2-3858*n+26096)*a(n-16)+( 10*n^2-234*n+1400)*a(n-17)+28*(2*n-25)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 19, a(10) = 62, a(11) = 206, a(12) = 700, a(13) = 2414, a(14) = 8435, a(15) = 29799, a(16) = 106264, a(17) = 382008, a(18) = 1382957}, [0, 0, 0, 0, 0, 1, 2, 6, 19, 62, 206, 700, 2414, 8435, 29799, 106264, 382008, 1382957, 5037580, 18450309, 67903946, 251002020, 931458578, 3468913587, 12960687445, 48567539542, 182491025773, 687417683126, 2595378990978, 9819921437367, 37228579785304, 141399216725953, 537980266126005, 2050153342538229, 7824621611853458, 29905952052794169, 114454530039354135, 438587525495594479, 1682662894290937624, 6462902266373641236, 24849746238278212064, 95643722636677975500, 368475951699582349892, 1420887249373009954406, 5483892742276333244301, 21182613812347657903183, 81887007253295520341171, 316796217899227364124312, 1226479226672752690701604, 4751625662459564417297227], 446166162381043725903770\ 9824765971779443408439223511463575898751912239425694069766181203261449770668135\ 0335726110396456081995407093237055997331301635752881145427919944233323496975143\ 3033410742660463475032194790343338518866673419361777249634893420195248467846756\ 3152502854750035915305115893251623489932553312774442211466859972231768316809916\ 4841898425366240425219399264698169557615520371360497376050436301259521895468023\ 0248745757026870072397603337059442347672451058817085501052806994325233242144727\ 3712100742409135992192223283295709863106053278798943327454160036009532669676860\ 981491446443849397] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {2} [P^2*x^9+2*P^2*x^8+P^2*x^7-2*P*x^8+2*P^2*x^6-2*P*x^7+4*P^2*x^5-2*P*x^6+x^7+4*P^ 2*x^4-6*P*x^5+2*P^2*x^3-6*P*x^4+2*x^5+P^2*x^2-5*P*x^3+2*x^4+3*P^2*x-2*P*x^2+3*x ^3+P^2-6*P*x+x^2-2*P+3*x+1, ((x^4+x^2+x)*C-x^4-x^2-x-1)/((x^5+x^4+x^2+x)*C-x^5- x^4-x^2-x-1), {-3*n*(n-3)*a(n)+(n-1)*(11*n-64)*a(n-1)+6*(n-2)*(9*n-35)*a(n-2)-3 *(n-3)*(35*n-228)*a(n-3)-3*(n-4)*(107*n-723)*a(n-4)-16*(n-5)*(8*n-77)*a(n-5)+(-\ 285*n^2+3921*n-13212)*a(n-6)+(-470*n^2+4980*n-11740)*a(n-7)+(-398*n^2+2658*n+ 3260)*a(n-8)+(-291*n^2+2835*n-2844)*a(n-9)+(-67*n^2-1725*n+24424)*a(n-10)+(117* n^2-8061*n+70404)*a(n-11)+(180*n^2-6828*n+50640)*a(n-12)+(289*n^2-8793*n+64196) *a(n-13)+(382*n^2-11802*n+89096)*a(n-14)+(432*n^2-12510*n+90708)*a(n-15)+(246*n ^2-6966*n+49584)*a(n-16)+(123*n^2-3609*n+26400)*a(n-17)+(162*n^2-5022*n+38304)* a(n-18)+36*(2*n-27)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 19, a(10) = 61, a(11) = 203, a( 12) = 688, a(13) = 2368, a(14) = 8262, a(15) = 29151, a(16) = 103842, a(17) = 372964, a(18) = 1349164, a(19) = 4911162}, [0, 0, 0, 0, 0, 1, 2, 6, 19, 61, 203 , 688, 2368, 8262, 29151, 103842, 372964, 1349164, 4911162, 17976649, 66126141, 244317065, 906274918, 3373866948, 12601324710, 47206464150, 177327394243, 667796658830, 2520708239955, 9535336980446, 36142469600210, 137248625015258, 522098740680348, 1989312599989065, 7591279947834850, 29010046270819265, 111011167499870305, 425340057019121659, 1631648427234574970, 6266274043602960649, 24091215478855249130, 92715128457862743707, 357160064599545393685, 1377130296524904956319, 5314567753165320713374, 20526924963141635494190, 79346237855302880272042, 306944498444208952718148, 1188255994801615894170096, 4603236839978239233400677], 431035036293385469149235\ 9276289707655316021312679783328174731307436100250978503587273261865803826502481\ 1233187266976314278961533083442012787854695153168097215384475240421990865575770\ 2744109527152496742903792410671867477763056839909075602256617797605568981833504\ 3717477334165649591568808370449141913766981057370574027954018429559688087458935\ 4377742607729918789039575995705941857957592553705520646582195410969629735961930\ 1724597654731224049061867231002129984950899240348600582118683538958916340660669\ 2121339380095773335969033842926889549045108261740904537531478795602679140485931\ 663698800693849909] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {3} [P^2*x^9+2*P^2*x^8+3*P^2*x^7-2*P*x^8+2*P^2*x^6-4*P*x^7+3*P^2*x^5-4*P*x^6+x^7+4* P^2*x^4-4*P*x^5+2*x^6+3*P^2*x^3-6*P*x^4+x^5+P^2*x^2-7*P*x^3+2*x^4-2*P*x^2+4*x^3 +2*P^2+x^2-4*P+2, ((x^4+x^3+x)*C-x^4-x^3-x-1)/((x^5+x^4+x^3+x)*C-x^5-x^4-x^3-x-\ 1), {-12*n*(n-3)*a(n)+8*(n-1)*(13*n-56)*a(n-1)-4*(n-2)*(58*n-313)*a(n-2)+18*(n-\ 3)*(3*n-16)*a(n-3)-9*(n-4)*(n-45)*a(n-4)-(n-5)*(223*n-1660)*a(n-5)+(-288*n^2+ 2376*n-3672)*a(n-6)+(-273*n^2+2307*n-3780)*a(n-7)+(-182*n^2+2112*n-4120)*a(n-8) +(-265*n^2+585*n+14956)*a(n-9)+(-85*n^2-2499*n+32152)*a(n-10)+(-16*n^2-2454*n+ 23332)*a(n-11)+(290*n^2-9420*n+70648)*a(n-12)+(519*n^2-15969*n+118320)*a(n-13)+ (558*n^2-16644*n+122256)*a(n-14)+(465*n^2-13311*n+95352)*a(n-15)+(428*n^2-12240 *n+87232)*a(n-16)+(389*n^2-11571*n+85192)*a(n-17)+2*(109*n-1456)*(n-17)*a(n-18) +36*(2*n-27)*(n-18)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 18, a(10) = 58, a(11) = 191, a(12) = 643, a(13) = 2200, a(14) = 7637, a(15) = 26830, a(16) = 95223, a(17) = 340916, a(18) = 1229793, a(19) = 4465630}, [0, 0, 0, 0, 0, 1, 2, 6, 18, 58, 191, 643, 2200, 7637, 26830, 95223, 340916, 1229793, 4465630, 16310198, 59879417, 220850641, 817936241, 3040647118, 11341966450, 42438124598, 159241279239, 599082650311, 2259233223914, 8538865751362, 32339563826515, 122715765254636, 466490176605944, 1776273387663474, 6774173539607537, 25872613184657238, 98951807716726106, 378941278539531866, 1452957993836401342, 5577479461206905589 , 21433832280692598633, 82454401011521108012, 317509799589621990775, 1223794547608209107232, 4721155652727706100089, 18228808098685243923347, 70440326273964374351598, 272409159365572629119365, 1054252134653628058000794, 4082966706432247262438530], 377649422875626390996043799596069592120394587568287\ 7758313674801349466526759488759365147643873080141133270318663019975029376981195\ 0008343698052626588910675275005693552265423818513737216074497867503365896585614\ 2230110044415716315144408600393442585617485523145803985055969330109483850633157\ 7550396644451466027424838982112890840711634511719588159043864494058499665778362\ 2893238185800784921774437354280829604165115217472408366510309851501963598451562\ 4635233493937103773567385679343431330144310897867609668769500584349837444099376\ 7610545959442575272973326295876818494651053664811389849966055461712400] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {4} [P^2*x^10+2*P^2*x^9+3*P^2*x^8-2*P*x^9+4*P^2*x^7-4*P*x^8+3*P^2*x^6-6*P*x^7+x^8+4 *P^2*x^5-6*P*x^6+2*x^7+2*P^2*x^4-6*P*x^5+3*x^6+P^2*x^3-5*P*x^4+2*x^5+P^2*x^2-2* P*x^3+3*x^4-P^2*x-2*P*x^2+x^3+P^2+2*P*x+x^2-2*P-x+1, ((x^4+x^3+x^2)*C-x^4-x^3-x ^2-1)/((x^5+x^4+x^3+x^2)*C-x^5-x^4-x^3-x^2-1), {-4*n*(n-4)*a(n)+(n-1)*(41*n-210 )*a(n-1)-3*(n-2)*(47*n-281)*a(n-2)+2*(n-3)*(103*n-664)*a(n-3)-6*(n-4)*(29*n-209 )*a(n-4)+3*(n-5)*(15*n-106)*a(n-5)+(-37*n^2+817*n-3522)*a(n-6)+(-182*n^2+1412*n -1260)*a(n-7)+(43*n^2-469*n+1698)*a(n-8)+(-220*n^2+1840*n+408)*a(n-9)+(-142*n^2 +1810*n-4272)*a(n-10)+(-181*n^2+2137*n-2130)*a(n-11)+(-145*n^2+2005*n-6846)*a(n -12)+(142*n^2-5950*n+55332)*a(n-13)+(328*n^2-12028*n+101712)*a(n-14)+(584*n^2-\ 19370*n+157728)*a(n-15)+(762*n^2-24798*n+200796)*a(n-16)+(726*n^2-23280*n+ 186492)*a(n-17)+(654*n^2-21462*n+175524)*a(n-18)+3*(143*n-2195)*(n-18)*a(n-19)+ 2*(109*n-1674)*(n-19)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 15, a(10) = 47, a(11) = 151, a(12) = 497, a(13) = 1669, a(14) = 5703, a(15) = 19770, a(16 ) = 69365, a(17) = 245880, a(18) = 879292, a(19) = 3168578, a(20) = 11494816, a (21) = 41947122}, [0, 0, 0, 0, 0, 1, 2, 5, 15, 47, 151, 497, 1669, 5703, 19770, 69365, 245880, 879292, 3168578, 11494816, 41947122, 153878295, 567133248, 2099032343, 7798348670, 29072547260, 108724619383, 407775615156, 1533420856625, 5780405880372, 21838980774099, 82682258966982, 313642255597864, 1191905598626444, 4537144518752378, 17298567513025509, 66051405621367874, 252557225247221889, 966959115852947552, 3706762475827998217, 14226240253077179919, 54659672948857933159, 210232728500339360219, 809406786417909915999, 3119213502090781741505, 12031373074955012801530, 46447100735688436463259, 179456058134147496677253, 693901253684524347056462, 2685111059198579691254185], 239428314162962817739821447156574557982176733983363\ 6567202777795337903926547891574242193569289506472795357905794540903824357073018\ 4505810866558675923600058628791689362639654643673021263107074007284592367657854\ 5369775183475302027810301802184955566555383574150473468558267531043652078757517\ 2766025676273361321353101652654009009588117285219813551939033678972204153916144\ 0492942342861811556842923144303013675047266839521949211585762948041001141939780\ 7922478924650349078678440261121975965920074141888982688116054624176684285113765\ 6967504785833470050816882167005205695657066039837215754369731459569891] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9-2*P*x^10+4*P^2*x^8-4*P*x^9+5*P^2*x^7-6*P*x^8+x^9 +4*P^2*x^6-8*P*x^7+2*x^8+2*P^2*x^5-8*P*x^6+3*x^7+P^2*x^4-5*P*x^5+4*x^6-2*P*x^4+ 3*x^5-P^2*x^2+x^4-P^2*x+2*P*x^2+P^2+2*P*x-x^2-2*P-x+1, (-1+(x^5+x^4+x^3+x^2)*C) /(-1+(x^6+x^5+x^4+x^3+x^2)*C), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-2*(n-\ 2)*(80*n-573)*a(n-2)+(n-3)*(119*n-1012)*a(n-3)+3*(n-4)*(41*n-311)*a(n-4)-(n-5)* (55*n-648)*a(n-5)+(-127*n^2+1931*n-6984)*a(n-6)+(-64*n^2+1292*n-6108)*a(n-7)+(-\ 83*n^2+307*n+3348)*a(n-8)+(-33*n^2-2067*n+20892)*a(n-9)+(149*n^2-4057*n+25032)* a(n-10)+(134*n^2-2344*n+8952)*a(n-11)+(2*n^2+1340*n-16548)*a(n-12)+(-179*n^2+ 7051*n-65208)*a(n-13)+(-45*n^2+2997*n-28668)*a(n-14)+(167*n^2-6073*n+55908)*a(n -15)+(482*n^2-17584*n+157368)*a(n-16)+(785*n^2-28225*n+251568)*a(n-17)+(966*n^2 -34944*n+315096)*a(n-18)+(912*n^2-33162*n+301284)*a(n-19)+6*(113*n-1988)*(n-19) *a(n-20)+3*(143*n-2481)*(n-20)*a(n-21)+2*(109*n-1892)*(n-21)*a(n-22)+36*(2*n-35 )*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 8, a(10) = 23, a(11) = 69, a(12) = 215, a(13) = 690, a(14) = 2275, a(15) = 7658, a(16) = 26227, a(17) = 91116, a(18) = 320372, a(19) = 1137981, a(20) = 4077579, a(21) = 14721262, a(22) = 53499040, a(23) = 195551716}, [0, 0, 0, 0, 0, 1, 1, 3, 8, 23, 69, 215, 690, 2275, 7658, 26227, 91116, 320372, 1137981, 4077579, 14721262, 53499040, 195551716, 718465725, 2651789691, 9827819103, 36558331576, 136451086573, 510856894475, 1917961655322, 7219375269991, 27238969785483, 102999557323627, 390269308282375, 1481548361837250, 5634222534023884, 21461926403517002, 81879378758358133, 312831365966572869, 1196846431812058723, 4584845309374760948, 17584810490316657902, 67522520943089055789, 259555992836220697425, 998758521239380496534, 3846930859398272155188, 14831046695279786652979, 57228631862842895335289, 221014635657428645521086, 854236302333211891122747], 7261068602786090962683194926132915851469007786896793626185129501263411310977886\ 0712614353846835350693060278065999998524548763721946046731329086210128910710836\ 9478421415998329537843781608226156869655356372955485160206196731952323859338659\ 2879303431197120448485588186457432928821297054572237335538006161287519896243486\ 0993176323803290121953124529171216484015099933692740175840194408214500565138177\ 3026459396279493996097376147752428352034434659369169846428683870634806718691487\ 0675001599856026084586204755349788679971389208698813945015179341548992932710669\ 84985698827557590475629590852963747148199] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 2} [P^2*x^9+2*P^2*x^6+2*P^2*x^5-2*P*x^6+2*P^2*x^4-2*P*x^5-2*P*x^4+2*P^2*x^2-P*x^3+ 3*P^2*x-4*P*x^2+x^3+P^2-6*P*x+2*x^2-2*P+3*x+1, ((x^2+x)*C-x^2-x-1)/((x^5+x^2+x) *C-x^5-x^2-x-1), {-3*n*(n-3)*a(n)+(n-1)*(11*n-64)*a(n-1)+50*(n-2)*(n-4)*a(n-2)-\ 72*(n-3)*(n-8)*a(n-3)-36*(n-4)*(10*n-63)*a(n-4)-24*(n-5)*(13*n-96)*a(n-5)+(-93* n^2+1485*n-5508)*a(n-6)+(-191*n^2+2259*n-6364)*a(n-7)+(-260*n^2+2292*n-2512)*a( n-8)+(-187*n^2+453*n+9400)*a(n-9)+(-14*n^2-516*n+7112)*a(n-10)+(-22*n^2+318*n-\ 1304)*a(n-11)+(-22*n^2-942*n+9976)*a(n-12)+(38*n^2-1482*n+11056)*a(n-13)+(72*n^ 2-1908*n+12336)*a(n-14)-3*(n-9)*(n-12)*a(n-15)+2*(n-8)*(n-7)*a(n-16)+20*(2*n-23 )*(n-14)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 19, a(10) = 61, a(11) = 202, a(12) = 684, a(13) = 2352, a(14) = 8200, a(15) = 28917, a(16) = 102965, a(17) = 369689}, [0, 0, 0, 0 , 0, 1, 2, 6, 19, 61, 202, 684, 2352, 8200, 28917, 102965, 369689, 1336952, 4865612, 17806564, 65490048, 241933864, 897328796, 3340219131, 12474524622, 46727720871, 175516559425, 660935198113, 2494665736601, 9436335046827, 35765534758621, 135811421095229, 516611308641030, 1968333387491052, 7510973460666724, 28702275621705143, 109830319161606360, 420804526521310175, 1614210004371513578, 6199160389228807949, 23832680200283239678, 91718310553781482082, 353313421634568523510, 1362274295451519643998, 5257148058550813327453, 20304827012743216023107, 78486552420450289135758, 303614582040875282821794, 1175349332402058614718951, 4553179218831555599017085] , 42615164820977403649099492800281522096599483273172334716231177309738845582613\ 9158764305054204984633402323757919874070306556781957148591946160603735235208569\ 6057731756140062134361587252718813579527031417860587502936274135577618252647585\ 5038697595208125912134496906530586396258671169270621247781761904078786857990325\ 9475368988917903049871999465071197049588141251288865509948704982519690817161143\ 9822267509706738324520472014363860158839777677099193523801537684139678549236048\ 8369322989878496372278962663098456705160618679630346480884388920093472531525171\ 91447901959826524337174885870920438120529849] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 3} [P^2*x^9+2*P^2*x^7-2*P*x^7+3*P^2*x^5+2*P^2*x^4-4*P*x^5+P^2*x^3-2*P*x^4+x^5+2*P^ 2*x^2-3*P*x^3-4*P*x^2+2*x^3+2*P^2+2*x^2-4*P+2, ((x^3+x)*C-x^3-x-1)/((x^5+x^3+x) *C-x^5-x^3-x-1), {-6*n*(n-3)*a(n)+4*(n-1)*(13*n-56)*a(n-1)-12*(n-2)*(10*n-53)*a (n-2)+3*(n-3)*(23*n-96)*a(n-3)-6*(n-4)*(23*n-129)*a(n-4)-4*(n-5)*(2*n-35)*a(n-5 )+(-90*n^2+1326*n-4608)*a(n-6)+(-141*n^2+423*n+3444)*a(n-7)+(-19*n^2+1278*n-\ 8312)*a(n-8)+(-99*n^2-591*n+11676)*a(n-9)+(n^2+582*n-4432)*a(n-10)+(-38*n^2-750 *n+9632)*a(n-11)+(72*n^2-1662*n+9864)*a(n-12)-(31*n+56)*(n-11)*a(n-13)+(129*n^2 -3456*n+22944)*a(n-14)+(-40*n^2+990*n-6068)*a(n-15)+2*(41*n-518)*(n-14)*a(n-16) -3*(5*n-56)*(n-15)*a(n-17)+14*(2*n-25)*(n-16)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 18, a(10) = 58, a(11) = 190, a(12) = 639, a(13) = 2184, a(14) = 7577, a(15) = 26606, a(16) = 94394, a(17) = 337852, a(18) = 1218471}, [0, 0, 0, 0, 0, 1, 2, 6, 18, 58, 190 , 639, 2184, 7577, 26606, 94394, 337852, 1218471, 4423734, 16154856, 59302086, 218699680, 809902458, 3010567875, 11229081174, 42013517247, 157640725644, 593037080313, 2236354006364, 8452122400432, 32010121992252, 121462544270384, 461715496705198, 1758055737103433, 6704568901341228, 25606326051440119, 97931810482177248, 375029653291597985, 1437940432833286346, 5519762734436386852 , 21211786816263209792, 81599335646985762991, 314214047414815821818, 1211080334604509522290, 4672066316846405255582, 18039123675430849593772, 69706812789947639161474, 269570570799884881214475, 1043259506375193599173066, 4040368335480204589324089], 373639216791142594942340659534782902864581898221463\ 7778934614369016968007240530346613512207049612500903113256974555666582058803639\ 0595247096598702513432207150196013519673299437451469071486278701372145816735111\ 7149506751414969097072171073888121800026259408234660490273493234541375846913424\ 6005809772822692426120272007903504187345561679104208843581443432154992072105112\ 4224278459456743546552049717432338814843853271140844824272764179808114412340684\ 8818064857264447605733011867635397164780176078705664220185820952262848930655955\ 9712299905673707473554695794758329291733960572262217746347440111149513] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 4} [P^2*x^10+2*P^2*x^8+2*P^2*x^7-2*P*x^8+P^2*x^6-2*P*x^7+4*P^2*x^5-2*P*x^6-6*P*x^5 +x^6+2*P^2*x^3-P*x^4+2*x^5+P^2*x^2-4*P*x^3+x^4-P^2*x-2*P*x^2+2*x^3+P^2+2*P*x+x^ 2-2*P-x+1, ((x^3+x^2)*C-x^3-x^2-1)/((x^5+x^3+x^2)*C-x^5-x^3-x^2-1), {-4*n*(n-4) *a(n)+(n-1)*(41*n-210)*a(n-1)-3*(n-2)*(47*n-281)*a(n-2)+3*(n-3)*(67*n-438)*a(n-\ 3)-2*(n-4)*(59*n-522)*a(n-4)-24*(7*n-26)*(n-5)*a(n-5)+(292*n^2-2680*n+5616)*a(n -6)+(-422*n^2+3884*n-6804)*a(n-7)+(139*n^2-829*n-1566)*a(n-8)+(-157*n^2+1933*n-\ 5346)*a(n-9)+(-178*n^2+1114*n+4692)*a(n-10)+(-17*n^2+2303*n-19746)*a(n-11)+(-\ 120*n^2-210*n+13476)*a(n-12)+(93*n^2-3021*n+26130)*a(n-13)+(12*n^2-744*n+6888)* a(n-14)+(228*n^2-7692*n+62472)*a(n-15)+(68*n^2-2252*n+18168)*a(n-16)+(145*n^2-\ 4489*n+34794)*a(n-17)+(118*n^2-3790*n+30180)*a(n-18)+(10*n^2-274*n+1908)*a(n-19 )+28*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 15, a(10) = 47, a(11) = 150, a(12) = 493, a(13) = 1655, a(14) = 5653, a(15) = 19591, a(16) = 68726, a(17) = 243593, a(18) = 871073, a(19) = 3138900, a(20) = 11387126}, [0, 0, 0, 0, 0, 1, 2, 5, 15 , 47, 150, 493, 1655, 5653, 19591, 68726, 243593, 871073, 3138900, 11387126, 41554489, 152440274, 561844059, 2079501033, 7725960519, 28803344634, 107720334459, 404018111624, 1519324258604, 5727388580613, 21639117587185, 81927183359520, 310783827126149, 1181064183238368, 4495952410051742, 17141797264773542, 65453832368255104, 250276061173309852, 958238983939006793, 3673384729703490708, 14098323532670855574, 54168872072603359946, 208347497507293953127, 802157745778946049739, 3091311812760691334261, 11923876812857179192452, 46032576907360302172489, 177856203119379390797345, 687721521068483857738076, 2661221907090920726345836], 2373964360282370639406922\ 4687253459396405843422665072741193938179001573446201136363853212834677325672616\ 1357159182674593237743237014672621623798255901909137462576723692227485908724798\ 4336099263517497009729949719163687417556013730303681067038154289799635446120752\ 6160320709761803409862474172742075777664982906959408724058785954678799822129827\ 6998702920503303227162682185724188149386108643225752898889577950845705900364533\ 7919070490796356054277966819173479635646371556123661301677977570670565941859999\ 5387877186469738201829769605166293392343536693100530400535876184910399893789732\ 06525848699566647] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 5} [P^2*x^11+2*P^2*x^9+2*P^2*x^8-2*P*x^9+3*P^2*x^7-2*P*x^8+2*P^2*x^6-4*P*x^7+2*P^2 *x^5-4*P*x^6+x^7+2*P^2*x^4-5*P*x^5+2*x^6-4*P*x^4+3*x^5-P^2*x^2+2*x^4-P^2*x+2*P* x^2+P^2+2*P*x-x^2-2*P-x+1, (-1+(x^4+x^3+x^2)*C)/(-1+(x^6+x^4+x^3+x^2)*C), {-5*n *(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-2*(n-2)*(80*n-573)*a(n-2)+(n-3)*(119*n-\ 1012)*a(n-3)+3*(n-4)*(39*n-305)*a(n-4)+2*(n+192)*(n-5)*a(n-5)+(-271*n^2+3773*n-\ 12852)*a(n-6)+(-76*n^2+800*n-2076)*a(n-7)+(150*n^2-2730*n+12732)*a(n-8)+(32*n^2 -2572*n+20172)*a(n-9)+(47*n^2-403*n-1056)*a(n-10)+(-71*n^2+235*n+3216)*a(n-11)+ (84*n^2+1716*n-27552)*a(n-12)+(-164*n^2+3448*n-22872)*a(n-13)+(-18*n^2+552*n-\ 1752)*a(n-14)+(81*n^2-3465*n+35472)*a(n-15)+(168*n^2-5928*n+52200)*a(n-16)+(143 *n^2-5449*n+49788)*a(n-17)+(220*n^2-7886*n+69912)*a(n-18)+(123*n^2-4455*n+40080 )*a(n-19)+(142*n^2-4994*n+43800)*a(n-20)+(10*n^2-314*n+2496)*a(n-21)+28*(2*n-33 )*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 8, a(10) = 23, a(11) = 68, a(12) = 213, a(13) = 683, a(14) = 2253, a(15) = 7587, a(16) = 25996, a(17) = 90349, a(18) = 317792, a(19) = 1129171, a(20) = 4047112, a(21) = 14614690, a(22) = 53122497}, [0, 0, 0 , 0, 0, 1, 1, 3, 8, 23, 68, 213, 683, 2253, 7587, 25996, 90349, 317792, 1129171 , 4047112, 14614690, 53122497, 194209472, 713643623, 2634346020, 9764330083, 36325988547, 135596644101, 507700839181, 1906257759193, 7175816028607, 27076319575550, 102390397484471, 387981588798112, 1472934969466803, 5601716691501660, 21338987501443890, 81413480767006366, 311062456066248243, 1190118529318951315, 4559214417509402543, 17487016238071909336, 67148851072023046885, 258126272508573492706, 993281194672507427469, 3825921645848067390563, 14750370359524949369701, 56918496293429323771015, 219821192093444777425206, 849639299676829199650129], 72269519181859919084705395\ 4406279890328781163488739819869181737530622398581323295610703382905319122971033\ 7180219654828410411738648405282749335678717765055443097889296728061366008300028\ 0091624428250409233192761073591847260650783178819177223544430118451252140972552\ 1455417496050348702722040279024587123526551845546813963695337415165578067279183\ 3817394159648476042605539306880953426038373056853775928500546898536290425967569\ 5622143258949760218282150550474194014869772479723804136699945066649729306252295\ 0805672983336916013892587275545498581092970525462607822368472937537891360730644\ 991317321029430] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {2, 3} [P^2*x^9+2*P^2*x^8+P^2*x^7-2*P*x^8-2*P*x^7+2*P^2*x^5+x^7+4*P^2*x^4-2*P*x^5+P^2* x^3-6*P*x^4-P^2*x^2-3*P*x^3+2*x^4+P^2*x+2*P*x^2+2*x^3+2*P^2-2*P*x-x^2-4*P+x+2, ((x^4+x)*C-x^4-x-1)/((x^5+x^4+x)*C-x^5-x^4-x-1), {-12*n*(n-3)*a(n)+2*(n-1)*(47* n-208)*a(n-1)-10*(n-2)*(13*n-82)*a(n-2)-3*(n-3)*(83*n-428)*a(n-3)+3*(n-4)*(43*n -217)*a(n-4)+(119*n+244)*(n-5)*a(n-5)+(-360*n^2+3240*n-6264)*a(n-6)+(-268*n^2+ 1176*n+4120)*a(n-7)+(-2*n^2+504*n-4408)*a(n-8)+(-58*n^2+1344*n-5732)*a(n-9)+(13 *n^2-4485*n+42632)*a(n-10)+(-2*n^2-2712*n+23876)*a(n-11)+(-116*n^2+3288*n-24136 )*a(n-12)+(78*n^2-2574*n+20808)*a(n-13)+(344*n^2-10584*n+79984)*a(n-14)+(185*n^ 2-5343*n+38872)*a(n-15)+(-4*n^2+180*n-1424)*a(n-16)+(83*n^2-2589*n+19960)*a(n-\ 17)+(162*n^2-5022*n+38304)*a(n-18)+36*(2*n-27)*(n-18)*a(n-19) = 0, a(1) = 0, a( 2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 18, a(10) = 57, a(11) = 187, a(12) = 627, a(13) = 2140, a(14) = 7414, a(15) = 26006 , a(16) = 92183, a(17) = 329698, a(18) = 1188332, a(19) = 4312059}, [0, 0, 0, 0 , 0, 1, 2, 6, 18, 57, 187, 627, 2140, 7414, 26006, 92183, 329698, 1188332, 4312059, 15739960, 57756539, 212927182, 788288039, 2929439498, 10923871196, 40862801838, 153293342290, 576580926544, 2173948735680, 8215060536020, 31108120136763, 118025230992475, 448597724240050, 1707925903137682, 6512747998652374, 24871423744559486, 95112973932659621, 364205566356001472, 1396333089203356522, 5359665470899267183, 20595174243383731259, 79222297757250193942, 305042617205019819788, 1175664425976957269486, 4535197577127705575389, 17509777373418529788088, 67658051690633664264890, 261635596961030799348091, 1012506319980626377309130, 3921103174894025856789165] , 36200596994507915395960273219516203723272555977117744953690540603707846405965\ 2444381672388143712195503662444596183690124076389713319605752790999683813474494\ 0917500213079324168673482783917116570736139256436128119334975524654436270360347\ 5739540588787349368526959691231956942445891808643333186611147501137059292645081\ 0765099264205749044666417726503053632980162213047556014059059473555781298607738\ 7145978944651008587062109153210544629535989512637780899176798709402425309870816\ 7229062768509294540913763108789771031974551472633201843334558820110330110036378\ 73140419341094204207975750184058871958519518] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {2, 4} [P^2*x^10+2*P^2*x^9+P^2*x^8-2*P*x^9+2*P^2*x^7-2*P*x^8+2*P^2*x^6-2*P*x^7+x^8+2*P ^2*x^5-4*P*x^6+2*P^2*x^4-2*P*x^5+2*x^6-P^2*x^3-5*P*x^4+2*P^2*x^2+2*P*x^3+3*x^4- P^2*x-4*P*x^2-x^3+P^2+2*P*x+2*x^2-2*P-x+1, ((x^4+x^2)*C-x^4-x^2-1)/((x^5+x^4+x^ 2)*C-x^5-x^4-x^2-1), {-4*n*(n-4)*a(n)+(n-1)*(41*n-210)*a(n-1)-3*(n-2)*(49*n-289 )*a(n-2)+3*(n-3)*(91*n-554)*a(n-3)-6*(n-4)*(72*n-457)*a(n-4)+6*(n-5)*(79*n-502) *a(n-5)+(-463*n^2+6061*n-19650)*a(n-6)+(203*n^2-3269*n+12642)*a(n-7)+(-155*n^2+ 1991*n-5166)*a(n-8)+(-136*n^2+1678*n-6132)*a(n-9)+(70*n^2-1420*n+9876)*a(n-10)+ (-218*n^2+1664*n+5028)*a(n-11)+(-15*n^2+957*n-11310)*a(n-12)+(81*n^2-4269*n+ 43266)*a(n-13)+(-32*n^2+530*n-4356)*a(n-14)+(239*n^2-7883*n+65118)*a(n-15)+(184 *n^2-6598*n+57396)*a(n-16)+(238*n^2-7816*n+64236)*a(n-17)+(222*n^2-7314*n+60300 )*a(n-18)+(123*n^2-4101*n+34110)*a(n-19)+(162*n^2-5670*n+48996)*a(n-20)+36*(2*n -31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 15, a(10) = 46, a(11) = 147, a(12) = 483, a(13) = 1619, a(14) = 5525, a(15) = 19136, a(16) = 67099, a(17) = 237747, a(18) = 849956, a(19) = 3062221, a(20) = 11107320, a(21) = 40528758}, [0, 0, 0, 0, 0, 1 , 2, 5, 15, 46, 147, 483, 1619, 5525, 19136, 67099, 237747, 849956, 3062221, 11107320, 40528758, 148664007, 547886660, 2027725210, 7533248726, 28083834825, 105026252853, 393903754591, 1481258376209, 5583797301647, 21096309509312, 79871157853704, 302981606864325, 1151404667889510, 4383019849052121, 16711131073187469, 63809121084824715, 243986361497702650, 934154992825163318, 3581052163853723170, 13743933751979564001, 52807172235670017569, 203109907658817862367, 781992234815471182693, 3013598765066605026296, 11624121852708981181632, 44875376400838138543426, 173385210820137253861442, 670433843111541010692753, 2594327130336949481392298], 2314649754932676745181515\ 6218605124593246722237814290167569244694229683479646275426594741609917267174243\ 6228692426432766056059855756183049910328393715507964302016699154218959952410353\ 1683082484431241681494471329223703737007568483645650363107969580581394699262258\ 4512710982374279901962798687597906714474219560754369676427484648089165249359009\ 0104902857973681856516908902773467265665252221543253072208004775936435473436447\ 4176885517342406728736721588907485329619380880683087387462736283991789693374504\ 0351191004067640464022519514805249628522684010681391591588094117574613441596110\ 61389551427067598] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {2, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-2*P*x^10+2*P^2*x^8-2*P*x^9+4*P^2*x^7-2*P*x^8+x^9+2 *P^2*x^6-6*P*x^7-4*P*x^6+2*x^7+P^2*x^4-P*x^5+2*x^6+P^2*x^3-2*P*x^4+x^5-P^2*x^2-\ 2*P*x^3+x^4-P^2*x+2*P*x^2+x^3+P^2+2*P*x-x^2-2*P-x+1, (-1+(x^5+x^3+x^2)*C)/(-1+( x^6+x^5+x^3+x^2)*C), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-2*(n-2)*(80*n-\ 573)*a(n-2)+28*(n-3)*(4*n-35)*a(n-3)+3*(n-4)*(63*n-443)*a(n-4)-4*(n-5)*(55*n-\ 483)*a(n-5)+(-149*n^2+1723*n-4944)*a(n-6)+(230*n^2-2998*n+9516)*a(n-7)+(-13*n^2 +371*n-1644)*a(n-8)+(-265*n^2+1367*n+8964)*a(n-9)+(73*n^2-1193*n+2424)*a(n-10)+ (204*n^2-1644*n-3432)*a(n-11)+(-94*n^2-478*n+17748)*a(n-12)+(-143*n^2+3667*n-\ 29232)*a(n-13)+(-7*n^2+2627*n-30588)*a(n-14)+(78*n^2-3252*n+33708)*a(n-15)+(190 *n^2-7382*n+67464)*a(n-16)+(140*n^2-4906*n+41964)*a(n-17)+(244*n^2-9272*n+87288 )*a(n-18)+(424*n^2-15746*n+146148)*a(n-19)+(246*n^2-8934*n+81384)*a(n-20)+(123* n^2-4593*n+42804)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n -23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 8, a(10) = 22, a(11) = 67, a(12) = 208, a(13) = 668, a(14) = 2205, a(15) = 7429, a(16) = 25469, a(17) = 88567, a(18) = 311671, a(19) = 1107897, a(20) = 3972355, a(21) = 14349481, a(22) = 52173723, a(23) = 190790125 }, [0, 0, 0, 0, 0, 1, 1, 3, 8, 22, 67, 208, 668, 2205, 7429, 25469, 88567, 311671, 1107897, 3972355, 14349481, 52173723, 190790125, 701239657, 2589087624, 9598337279, 35714343691, 133333407443, 499294465957, 1874925950406, 7058669507515, 26637055665253, 100738920467033, 381757429203454, 1449424012147835, 5512720770625908, 21001454480149493, 80130998369586398, 306181288228305387, 1171511101029367318, 4488175446412563835, 17215424922554937742, 66109149791938670175, 254141144020066333804, 977988382367893922408, 3767170508278214078991, 14524424783970501412432, 56048681659192932701315, 216469506402759899989570, 836712425246711113459852], 7126232670911346462311441597622993828548176733601138638357231613233947061332324\ 3791211945810362034095429116997319400847883347634836933633730271345425880631784\ 5013661166271039784804729549625490731804880069985459921764723781347836271784250\ 3947795860338733868760483723673967223623955515973575859084345888769392936521762\ 6797101855628861010447998510750435698508072352396823884469683916460127971591718\ 1665557189056070762244952839075390623352705942541767612793072910640297558141618\ 9151963901983220043165785123143639411443595390791310691679020617252663719536425\ 46300514878505371801458925668414249928223] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {3, 4} [P^2*x^10+2*P^2*x^9+3*P^2*x^8-2*P*x^9+2*P^2*x^7-4*P*x^8+P^2*x^6-4*P*x^7+x^8+2*P ^2*x^5-2*P*x^6+2*x^7+P^2*x^4-2*P*x^5+x^6+P^2*x^3-3*P*x^4-P^2*x^2-2*P*x^3+2*x^4+ 2*P*x^2+x^3+P^2-x^2-2*P+1, ((x^4+x^3)*C-x^4-x^3-1)/((x^5+x^4+x^3)*C-x^5-x^4-x^3 -1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-6*(n-2)*(11*n-74)*a(n-2)-3*(n-3) *(19*n-98)*a(n-3)+6*(n-4)*(25*n-154)*a(n-4)-3*(n-5)*(15*n-98)*a(n-5)+(-91*n^2+ 1477*n-5538)*a(n-6)+(-63*n^2+159*n+1794)*a(n-7)+(-18*n^2+300*n-1392)*a(n-8)+(24 *n^2-690*n+5160)*a(n-9)+(-104*n^2-598*n+15588)*a(n-10)+(-80*n^2-310*n+11760)*a( n-11)+(-75*n^2+1887*n-15306)*a(n-12)+(-8*n^2+602*n-6168)*a(n-13)+(146*n^2-5066* n+43620)*a(n-14)+(169*n^2-6343*n+55818)*a(n-15)+(216*n^2-7560*n+64992)*a(n-16)+ (271*n^2-8749*n+70614)*a(n-17)+(404*n^2-13316*n+109224)*a(n-18)+(389*n^2-13127* n+109890)*a(n-19)+2*(109*n-1674)*(n-19)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 14, a(10) = 43, a(11) = 137, a(12) = 448, a(13) = 1496, a(14) = 5090, a( 15) = 17589, a(16) = 61567, a(17) = 217842, a(18) = 777912, a(19) = 2800043, a( 20) = 10148427, a(21) = 37005535}, [0, 0, 0, 0, 0, 1, 2, 5, 14, 43, 137, 448, 1496, 5090, 17589, 61567, 217842, 777912, 2800043, 10148427, 37005535, 135664123, 499734522, 1848734700, 6865738314, 25587012505, 95661028302, 358686185625, 1348509779137, 5082313714032, 19197970867291, 72671346782270, 275626097281056, 1047293909802969, 3986167749297118, 15196164262333680, 58017748764664433, 221818210885511744, 849194795242503791, 3255057418867060152, 12491692718402935691, 47991878934799776910, 184574928075074939519, 710579649106410335020, 2738207020901048730378, 10561197914993827615717, 40769447551642007605970, 157512079949491992983907, 609023609836798143753368, 2356570930933385501078862], 209856827970524089995426225733155521538538120645456\ 4413904566235599595637469609928937921349803813848699457265285128921826270162797\ 6574749900806139708087460590258163215854467719849841335840835670886634825163975\ 6295542929657301653147721174602588556422794511341424765095341142830988622689628\ 6787307748577624577403027694038316694718632751084741390495909351257547535059843\ 5813203725553233906790846667058840669201590221281392965938866761539419332579558\ 9011972762424794278235099102260516345750855003175995269866354541623222232442101\ 4180641862380954015764471379417656802457077046284281287292176637922913] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {3, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9-2*P*x^10+2*P^2*x^8-4*P*x^9+3*P^2*x^7-4*P*x^8+x^9 +2*P^2*x^6-4*P*x^7+2*x^8+P^2*x^5-4*P*x^6+x^7-P^2*x^4-3*P*x^5+2*x^6+2*P*x^4+2*x^ 5-x^4-P^2*x+P^2+2*P*x-2*P-x+1, (-1+(x^5+x^4+x^2)*C)/(-1+(x^6+x^5+x^4+x^2)*C), { -5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-12*(n-2)*(14*n-99)*a(n-2)+2*(n-3)*(97 *n-752)*a(n-3)-66*(n-4)*(n-9)*a(n-4)-2*(31*n-132)*(n-5)*a(n-5)+(197*n^2-2299*n+ 6732)*a(n-6)+(-166*n^2+2606*n-10308)*a(n-7)+(-31*n^2+209*n+936)*a(n-8)+(-116*n^ 2+424*n+4128)*a(n-9)+(76*n^2-956*n+3888)*a(n-10)+(-54*n^2-1548*n+21624)*a(n-11) +(32*n^2-1234*n+9648)*a(n-12)+(-38*n^2+2176*n-26076)*a(n-13)+(17*n^2+659*n-8820 )*a(n-14)+(-15*n^2+1155*n-13728)*a(n-15)+(64*n^2-1730*n+11328)*a(n-16)+(290*n^2 -10426*n+94008)*a(n-17)+(420*n^2-15522*n+142632)*a(n-18)+(457*n^2-16811*n+ 154524)*a(n-19)+(428*n^2-15664*n+143040)*a(n-20)+(389*n^2-14683*n+137700)*a(n-\ 21)+2*(109*n-1892)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2 ) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 7, a( 10) = 21, a(11) = 62, a(12) = 194, a(13) = 622, a(14) = 2055, a(15) = 6930, a( 16) = 23784, a(17) = 82785, a(18) = 291586, a(19) = 1037331, a(20) = 3722026, a (21) = 13453876, a(22) = 48945563, a(23) = 179077713}, [0, 0, 0, 0, 0, 1, 1, 3, 7, 21, 62, 194, 622, 2055, 6930, 23784, 82785, 291586, 1037331, 3722026, 13453876, 48945563, 179077713, 658496491, 2432289274, 9020459311, 33575645877, 125388153539, 469676127779, 1764167484882, 6643293382986, 25075155605233, 94851534656780, 359515640662395, 1365221730750966, 5193330755259811, 19787772395850409, 75511199472238742, 288568463608811449, 1104262950695298961, 4231053917569321591, 16231033024313502314, 62335715307405929224, 239659590655848335335, 922349837330904174653, 3553180489822550132628, 13700580427655134853740, 52873933945643128889528, 204224311322901869622451, 789441282918989959831352], 6744241216466597253976844242825695620726585471736391\ 6012888866552371969578307193428042629643064893314421600909955867932301032978159\ 4851835640788135112396993783737226531112595286127468148759552286847761188218291\ 2886317820059054023037290955082483870498042276825804167555472870850137407719478\ 9312688990189846162077134090543140029703091973376657082152138514735818295778098\ 5162500705343425645996469472862193681926236808313443001800771439292074486745857\ 2027018241530777770057568418982626042949068507262893778785504482638262528055990\ 43863432798733045515625200174085906397900486315092133257763512221986] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9-2*P*x^10+4*P^2*x^8-4*P*x^9+3*P^2*x^7-6*P*x^8+x^9 +2*P^2*x^6-6*P*x^7+2*x^8-4*P*x^6+3*x^7-P^2*x^4-P*x^5+2*x^6-P^2*x^3+2*P*x^4+x^5- P^2*x^2+2*P*x^3-x^4+2*P*x^2-x^3+P^2-x^2-2*P+1, (-1+(x^5+x^4+x^3)*C)/(-1+(x^6+x^ 5+x^4+x^3)*C), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-2*(n-2)*(40*n-309)*a(n-\ 2)-(n-3)*(61*n-416)*a(n-3)+3*(n-4)*(29*n-255)*a(n-4)+(n-5)*(97*n-876)*a(n-5)+( 87*n^2-1065*n+3288)*a(n-6)+(14*n^2+524*n-4464)*a(n-7)+(-177*n^2+2991*n-12732)*a (n-8)+(-183*n^2+2391*n-5928)*a(n-9)+(-153*n^2-165*n+16416)*a(n-10)+(-8*n^2-2774 *n+30060)*a(n-11)+(110*n^2-3706*n+27420)*a(n-12)+(12*n^2+1422*n-25188)*a(n-13)+ (-23*n^2+4507*n-57468)*a(n-14)+(-29*n^2+3703*n-45732)*a(n-15)+(86*n^2-1690*n+ 6816)*a(n-16)+(355*n^2-12011*n+102312)*a(n-17)+(624*n^2-22260*n+198312)*a(n-18) +(718*n^2-25964*n+234444)*a(n-19)+(654*n^2-24078*n+221064)*a(n-20)+3*(143*n-\ 2481)*(n-20)*a(n-21)+2*(109*n-1892)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 6, a(10) = 17, a(11) = 50, a(12) = 155, a(13) = 497, a(14) = 1641, a( 15) = 5539, a(16) = 19024, a(17) = 66279, a(18) = 233665, a(19) = 832018, a(20) = 2987825, a(21) = 10808236, a(22) = 39348098, a(23) = 144055011}, [0, 0, 0, 0, 0, 1, 1, 2, 6, 17, 50, 155, 497, 1641, 5539, 19024, 66279, 233665, 832018, 2987825, 10808236, 39348098, 144055011, 530020200, 1958774597, 7267894941, 27064356232, 101113151511, 378890390984, 1423660719807, 5362787821750, 20247963470516, 76613204834150, 290462792391749, 1103270543862138, 4197824329936934, 15998105724886151, 61061977648121303, 233394779683468585, 893290878224211292, 3423283082552766323, 13134403011625962162, 50450725435716842845, 193993962839197788320, 746704724867790599210, 2876917626320562994137, 11094388606893367250388, 42821096100748116737934, 165414284646758862174618, 639488354387142899926538], 54882704125354249834051949\ 6676389380621965171467221107645603333316308748676305033564708782472726659903995\ 9936850481079293532153005104597679145327712463674842604649129384749674123703702\ 9452422492232666793562865343250429763980107346316034366743613416235749180445519\ 0950618218708485475454383489935216623424394438003904990191907009677741849114381\ 0661371252631398927708585404989058388811057709262258292465325320876938405517277\ 9714146383047731246421513190499285552067065589129677102506272207099877513343523\ 2089130649007399218630663329075555027681373528962651693189652646345542651963723\ 853245478157740] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 2, 3} [P^2*x^9+2*P^2*x^5+2*P^2*x^4-2*P*x^5-P^2*x^3-2*P*x^4+P*x^3+P^2*x+2*P^2-2*P*x-4* P+x+2, (C*x-x-1)/((x^5+x)*C-x^5-x-1), {-6*n*(n-3)*a(n)+(n-1)*(47*n-208)*a(n-1)-\ 3*(n-2)*(23*n-140)*a(n-2)-84*(n-3)*(n-6)*a(n-3)-3*(17*n-52)*(n-4)*a(n-4)+(91*n-\ 136)*(n-5)*a(n-5)+(-30*n^2+342*n-864)*a(n-6)+(-113*n^2+633*n+716)*a(n-7)+(-28*n ^2+150*n+472)*a(n-8)+(-54*n+324)*a(n-9)+(7*n^2+264*n-2056)*a(n-10)-(29*n+272)*( n-7)*a(n-11)+(4*n^2-330*n+2504)*a(n-12)-3*(n-9)*(n-12)*a(n-15)+6*(2*n-21)*(n-12 )*a(n-16) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 6, a(9) = 18, a(10) = 57, a(11) = 186, a(12) = 623, a(13) = 2124, a (14) = 7354, a(15) = 25784, a(16) = 91366}, [0, 0, 0, 0, 0, 1, 2, 6, 18, 57, 186, 623, 2124, 7354, 25784, 91366, 326694, 1177278, 4271300, 15589289, 57198018, 210850957, 780548506, 2900511485, 10815470256, 40455608623, 151760270154, 570796478072, 2152078989616, 8132217498457, 30793743643554, 116830196525732, 444047793088616, 1690576522100420, 6446498667879788, 24618107180824150, 94143136488906306, 360488001809668279, 1382066658840499130, 5304857429033904619, 20384397789930759690, 78410912665763101527, 301916258297712084122, 1163607443547147048551, 4488659466105702017114, 17330000970024288698754, 66963035424339724985460, 258946657082207055677609, 1002095679644165287119458, 3880769181021648957860448], 358240833247864189657718\ 8064470490691821887744691433385986023775527460096586055099333184765629997980397\ 8774605840576250874625596649226899486592149884531183020347797315240080793412797\ 7671594417167186469487308042670226115663790686420727924376222816242237611521130\ 6046365665468540633685792520022102509647931727406850472733546161994149966679279\ 9977867752167010670871632017876175214465711184838411907975222717871400696453711\ 4156409460518511663974619993558033778496897419655230457623406226265025996280868\ 8567056333874002591882865260121192016860703917771981525616946067844287720446052\ 733438862410687487] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 2, 4} [P^2*x^10+2*P^2*x^7-2*P*x^7+2*P^2*x^5-2*P*x^5-P*x^4+2*P^2*x^2+x^4-P^2*x-4*P*x^2 +P^2+2*P*x+2*x^2-2*P-x+1, (C*x^2-x^2-1)/((x^5+x^2)*C-x^5-x^2-1), {-4*n*(n-4)*a( n)+(n-1)*(41*n-210)*a(n-1)-3*(n-2)*(49*n-289)*a(n-2)+4*(n-3)*(67*n-412)*a(n-3)-\ 4*(n-4)*(94*n-633)*a(n-4)+6*(n-5)*(43*n-342)*a(n-5)+(-98*n^2+2096*n-9000)*a(n-6 )+(-187*n^2+1273*n-42)*a(n-7)+(205*n^2-1369*n-1326)*a(n-8)+(-280*n^2+1804*n+ 4584)*a(n-9)+(100*n^2+140*n-10320)*a(n-10)+(-63*n^2+141*n+7170)*a(n-11)+(-76*n^ 2+292*n+1968)*a(n-12)+(28*n^2+524*n-7200)*a(n-13)+(22*n^2-1726*n+16332)*a(n-14) +(-42*n^2+1158*n-7860)*a(n-15)+(70*n^2-2152*n+16200)*a(n-16)+(11*n^2-263*n+1566 )*a(n-17)-2*(11*n-134)*(n-15)*a(n-18)+20*(2*n-27)*(n-16)*a(n-19) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 15 , a(10) = 46, a(11) = 146, a(12) = 479, a(13) = 1605, a(14) = 5475, a(15) = 18959, a(16) = 66472, a(17) = 235514, a(18) = 841963, a(19) = 3033452}, [0, 0, 0, 0, 0, 1, 2, 5, 15, 46, 146, 479, 1605, 5475, 18959, 66472, 235514, 841963, 3033452, 11003197, 40149923, 147278894, 542799273, 2008961268, 7463773863, 27825685125, 104063901343, 390305404388, 1467766235250, 5533077678457, 20905188837400, 79149381767184, 300250150864445, 1141047934746991, 4343679905170852, 16561446339073354, 63238682422987223, 241809219172275547, 925834034076768265, 3549207697449769382, 13621912121420208254, 52339057177104328520, 201312054140097051165, 775080025034929936548, 2986996581518078682328, 11521643069328783916860, 44480240049765539328417, 171860323374451116361012, 664544198869458585493817, 2571561239718790624789145], 2295331835568797945761266915418527890991942079719806625421867412614695476551608\ 4381080687641313742772344152985154572025400653613530797946411534412847986996132\ 7851797344635313681403840760610368216641974401091102527897190605728526987340506\ 9598091751746618258705773049400163703028351590046773474694956178986361418177993\ 6200659357066324345717462266717177458541770487597984622741442925646537587313567\ 1305257182581000357555635274905831072008367338091854131600907789875773494155264\ 0025282052078671595722340324732790317723376022614427584155728078303176083354591\ 397231638842104780476436977972514656401357] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 2, 5} [P^2*x^11+2*P^2*x^8+2*P^2*x^7-2*P*x^8-2*P*x^7+2*P^2*x^4-P*x^5+P^2*x^3-4*P*x^4+x ^5-P^2*x^2-2*P*x^3+2*x^4-P^2*x+2*P*x^2+x^3+P^2+2*P*x-x^2-2*P-x+1, (-1+(x^3+x^2) *C)/(-1+(x^6+x^3+x^2)*C), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-2*(n-2)*( 80*n-573)*a(n-2)+28*(n-3)*(4*n-35)*a(n-3)+3*(n-4)*(61*n-437)*a(n-4)-(n-5)*(163* n-1668)*a(n-5)+(-293*n^2+3565*n-10812)*a(n-6)+(215*n^2-3445*n+13380)*a(n-7)+( 244*n^2-3278*n+11100)*a(n-8)+(-218*n^2+2944*n-9036)*a(n-9)+(-197*n^2+1717*n+576 )*a(n-10)+(170*n^2-1498*n-3096)*a(n-11)+(90*n^2+18*n-9384)*a(n-12)+(-209*n^2+ 2443*n-4044)*a(n-13)+(26*n^2-1096*n+12288)*a(n-14)+(46*n^2-422*n-576)*a(n-15)+( -38*n^2+874*n-5232)*a(n-16)+(37*n^2-1763*n+17460)*a(n-17)+(78*n^2-2634*n+22056) *a(n-18)+(-11*n^2+307*n-2136)*a(n-19)+2*(n-12)*(n-11)*a(n-20)+20*(2*n-31)*(n-18 )*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 8, a(10) = 22, a(11) = 66, a(12) = 206, a(13) = 661, a(14 ) = 2183, a(15) = 7360, a(16) = 25244, a(17) = 87824, a(18) = 309177, a(19) = 1099390, a(20) = 3942953, a(21) = 14246653}, [0, 0, 0, 0, 0, 1, 1, 3, 8, 22, 66 , 206, 661, 2183, 7360, 25244, 87824, 309177, 1099390, 3942953, 14246653, 51810380, 189494676, 696584400, 2572242395, 9537007285, 35489833018, 132507525712, 496243057062, 1863607173008, 7016533338669, 26479683575100, 100149404232901, 379543048698394, 1441085228028365, 5481245934028019, 20882396106651672, 79679739821446364, 304467725008903147, 1164992864586699501, 4463340303955118604, 17120656076663683535, 65747001248628350840, 252755366645684625886, 972678899124809961907, 3746803258630142251316, 14446206977824783786362, 55747972967210000495357, 215312250420739314716647, 832254489703485347039153], 7093060120781746896225990661333368957556340607843013\ 5385318141618531077335838313426653493941256184752656015057181052890236798977250\ 0758484326520237527047121677363187168276215625774672160768079871052906360714528\ 3695069854036953492164241294519745960986326045217354139510055157702698714053725\ 6064993143407236522423969983685664958573553341985905025240327900769565110849013\ 4831172740522737687409939218538875907049373895087302217264546313423872131605400\ 9803330196121102482449802237297969472129434610351384922396426142178020742223278\ 20769254562616225468128040084379133424561767756633550238749233482343] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 3, 4} [P^2*x^10+2*P^2*x^8-2*P*x^8+P^2*x^6+2*P^2*x^5-2*P*x^6-P^2*x^4-2*P*x^5+x^6+2*P^2 *x^3+P*x^4-P^2*x^2-4*P*x^3+2*P*x^2+2*x^3+P^2-x^2-2*P+1, (C*x^3-x^3-1)/((x^5+x^3 )*C-x^5-x^3-1), {-2*n*(n-4)*a(n)+(n-1)*(17*n-90)*a(n-1)-3*(n-2)*(11*n-74)*a(n-2 )-(n-3)*(31*n-154)*a(n-3)+(n-4)*(101*n-558)*a(n-4)-3*(35*n-162)*(n-5)*a(n-5)+( 17*n^2+190*n-1728)*a(n-6)+(38*n^2-872*n+4152)*a(n-7)+(-123*n^2+1470*n-3960)*a(n -8)+(96*n^2-1020*n+1944)*a(n-9)+(-82*n^2+610*n+972)*a(n-10)+(19*n^2-715*n+6318) *a(n-11)+(-53*n^2+1748*n-14676)*a(n-12)+(38*n^2-1982*n+18468)*a(n-13)+(-14*n^2+ 998*n-9948)*a(n-14)+(n-13)*(11*n-654)*a(n-15)+(56*n^2-1658*n+12276)*a(n-16)+(-\ 33*n^2+981*n-7194)*a(n-17)+(70*n^2-2194*n+17100)*a(n-18)-3*(5*n-66)*(n-17)*a(n-\ 19)+14*(2*n-29)*(n-18)*a(n-20) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5 ) = 0, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 14, a(10) = 43, a(11) = 136, a(12) = 444, a(13) = 1482, a(14) = 5042, a(15) = 17422, a(16) = 60982, a(17) = 215778 , a(18) = 770581, a(19) = 2773824, a(20) = 10054035}, [0, 0, 0, 0, 0, 1, 2, 5, 14, 43, 136, 444, 1482, 5042, 17422, 60982, 215778, 770581, 2773824, 10054035, 36663624, 134418692, 495174812, 1831963434, 6803790600, 25357316095, 94806337750, 355495665012, 1336564440732, 5037468271006, 19029187084572, 72034617633403, 273218866309866, 1038174757244533, 3951557402771092, 15064575490398844, 57516625274069498, 219906863071884144, 841894110526364858, 3227133286655120725, 12384749220213846476, 47581810043125357208, 183000732859346981448, 704529954209465929290, 2714933758778014705932, 10471577380143078476813, 40424014820970082427934, 156179461572683665209241, 603878241378629400370442, 2336688075162996250907611], 2081880932370229825281040\ 2908366603091449997232859393554921526488895429061376176058966773261453317905634\ 1671890468867753591567779347514098383469624471895156589872353449127076511181158\ 2364347116853529390377091044928616027420798459020414496993970803214242688907048\ 8071976706216118512721584617562685924577098058692603018285951029822224561986754\ 8688635427723780991082352505957856919183160896331757333478250342248815614458452\ 3655173125290375296193761548880042566426250003447079429019266379116566460335227\ 8609395583582890341470543757363419795630113919466467933014036896557027718684712\ 79194756952444801] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 3, 5} [P^2*x^11+2*P^2*x^9-2*P*x^9+3*P^2*x^7-4*P*x^7+P^2*x^5+x^7-3*P*x^5+2*x^5-P^2*x+P ^2+2*P*x-2*P-x+1, (-1+(x^4+x^2)*C)/(-1+(x^6+x^4+x^2)*C), {-5*n*(n-5)*a(n)+3*(n-\ 1)*(17*n-104)*a(n-1)-12*(n-2)*(14*n-99)*a(n-2)+2*(n-3)*(97*n-752)*a(n-3)-36*(n-\ 4)*(2*n-17)*a(n-4)-5*n*(n-5)*a(n-5)+(49*n^2-407*n+708)*a(n-6)+(-148*n^2+1520*n-\ 3588)*a(n-7)+(190*n^2-1316*n-1008)*a(n-8)+(-296*n^2+1228*n+11472)*a(n-9)+(226*n ^2-758*n-12840)*a(n-10)+(-160*n^2-742*n+23412)*a(n-11)+(126*n^2+96*n-14400)*a(n -12)+(-141*n^2+1767*n-6396)*a(n-13)+(100*n^2-1922*n+11208)*a(n-14)+(-108*n^2+ 3252*n-24432)*a(n-15)+(196*n^2-6440*n+52656)*a(n-16)+(-143*n^2+4585*n-36636)*a( n-17)+(264*n^2-9126*n+78600)*a(n-18)-8*(11*n-168)*(n-17)*a(n-19)+4*(41*n-682)*( n-18)*a(n-20)-6*(5*n-76)*(n-19)*a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 7, a(10) = 21, a(11) = 61, a(12) = 192, a(13) = 615, a(14) = 2035, a(15) = 6865 , a(16) = 23577, a(17) = 82101, a(18) = 289300, a(19) = 1029544, a(20) = 3695145, a(21) = 13359903, a(22) = 48613586}, [0, 0, 0, 0, 0, 1, 1, 3, 7, 21, 61, 192, 615, 2035, 6865, 23577, 82101, 289300, 1029544, 3695145, 13359903, 48613586, 177894083, 654242591, 2416893547, 8964394365, 33370360187, 124632808846, 466884659557, 1753810481735, 6604728838732, 24931091721987, 94311759547282, 357487703876347, 1357583628588121, 5164495590249101, 19678680876296761, 75097652667602180, 286997869847030666, 1098287716747194442, 4208284636958691853, 16144136362809150925, 62003609641493069125, 238388629037007126052, 917479733613348550911, 3534496782697959694237, 13628821015021881640545, 52598028788953386097008, 203162415282827141187817, 785350340746142242103199], 6713695224588782725825645612059660141783705632293239\ 8604188425288473314268502741746502277779333009041652064051307443912187622375207\ 2214780419020437446301488434024712041773000789987953904704592358805114325406247\ 2283688227865136580411534996929018652237065532510552272712183709501767950365915\ 1487458496073851532885657515584717026660310567231338217007460535946931309208353\ 1840551852187661238629198818937268253693608545313402736710493919948090380772546\ 1326875052258431051767428542637360215873045984042684813641202303959636341652665\ 77461243938411610375492125406926592768778755929469197516308966577799] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 4, 5} [P^2*x^11+2*P^2*x^9+2*P^2*x^8-2*P*x^9+P^2*x^7-2*P*x^8+2*P^2*x^6-2*P*x^7-4*P*x^6 +x^7-P*x^5+2*x^6-P^2*x^3+x^5-P^2*x^2+2*P*x^3+2*P*x^2-x^3+P^2-x^2-2*P+1, (-1+(x^ 4+x^3)*C)/(-1+(x^6+x^4+x^3)*C), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-2*(n-2 )*(40*n-309)*a(n-2)-(n-3)*(61*n-416)*a(n-3)+9*(n-4)*(9*n-83)*a(n-4)+(n-5)*(149* n-1116)*a(n-5)+(-21*n^2+237*n-636)*a(n-6)+(-13*n^2+1073*n-6984)*a(n-7)+(-176*n^ 2+2026*n-5076)*a(n-8)+(-42*n^2+426*n+336)*a(n-9)+(-15*n^2-363*n+4848)*a(n-10)+( -60*n^2-1524*n+20616)*a(n-11)+(100*n^2-1208*n+2712)*a(n-12)+(-20*n^2+1156*n-\ 15336)*a(n-13)+(2*n^2+824*n-12312)*a(n-14)+(33*n^2-501*n+1968)*a(n-15)+(48*n^2-\ 1116*n+7128)*a(n-16)+(147*n^2-5085*n+44172)*a(n-17)+2*(37*n-597)*(n-20)*a(n-18) +(n-17)*(137*n-2520)*a(n-19)+(118*n^2-4262*n+38232)*a(n-20)+(10*n^2-314*n+2496) *a(n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0 , a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 6, a(10) = 17, a(11) = 49, a( 12) = 153, a(13) = 492, a(14) = 1625, a(15) = 5489, a(16) = 18867, a(17) = 65768, a(18) = 231966, a(19) = 826264, a(20) = 2968022, a(21) = 10739165, a(22) = 39104450}, [0, 0, 0, 0, 0, 1, 1, 2, 6, 17, 49, 153, 492, 1625, 5489, 18867, 65768, 231966, 826264, 2968022, 10739165, 39104450, 143187193, 526903411, 1947499444, 7226847759, 26914088196, 100560308438, 376847424429, 1416081036449, 5334564680712, 20142529417695, 76218153698854, 288978519262096, 1097679835835300, 4176717269263215, 15918247141612939, 60759229587620659, 232244914134561101, 888916012651120073, 3406611162991280779, 13070772470361170324, 50207524829472041636, 193063184701678402362, 743137941064611255085, 2863233222234911449075, 11041827394060840483101, 42618994678999540066686, 164636402185670925916917, 636491420759643405328160], 5465835029395477573269294724082253059837883687872263123776843869413546311175480\ 5524754177925939031244367565398999665757658728160353952203683143760151423339147\ 5602424421834746511016994386368959116843708574147357814749102250733845217843365\ 0953760711253682319102163384277912525388308157273205272115140936445348804830970\ 1022677032588497846689063824432974409718218576871072823979813004656998040741347\ 6347767747955248080630112653014671945745413371446692368304745817973649307655183\ 2449868641992710910475619605576858695800060280535676156313255911720659953523374\ 76466780633430072983682220936169338473899] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {2, 3, 4} [P^2*x^10+2*P^2*x^9+P^2*x^8-2*P*x^9-2*P*x^8+x^8+2*P^2*x^5+P^2*x^4-2*P*x^5-P^2*x ^3-3*P*x^4+2*P*x^3+2*x^4-x^3+P^2-2*P+1, (C*x^4-x^4-1)/((x^5+x^4)*C-x^5-x^4-1), {-4*n*(n-4)*a(n)+2*(n-1)*(17*n-90)*a(n-1)-36*(n-2)*(2*n-13)*a(n-2)+(5*n-14)*(n-\ 3)*a(n-3)-48*(n-4)^2*a(n-4)+6*(n-5)*(21*n-110)*a(n-5)+(-23*n^2+569*n-2538)*a(n-\ 6)+(-125*n^2+869*n-138)*a(n-7)-12*(3*n-20)*(n-8)*a(n-8)+(27*n^2+9*n-2454)*a(n-9 )+(40*n^2-790*n+5124)*a(n-10)+(-69*n^2-891*n+17166)*a(n-11)+(-35*n^2-499*n+7098 )*a(n-12)+(-26*n^2+884*n-7332)*a(n-13)+(-76*n^2+3034*n-27228)*a(n-14)+(108*n^2-\ 3612*n+30480)*a(n-15)+(146*n^2-5228*n+45696)*a(n-16)+(-9*n^2+339*n-2922)*a(n-17 )+(-28*n^2+832*n-6000)*a(n-18)+(83*n^2-2921*n+25470)*a(n-19)+(162*n^2-5670*n+ 48996)*a(n-20)+36*(2*n-31)*(n-20)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a( 4) = 0, a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 14, a(10) = 42, a(11) = 133, a(12) = 434, a(13) = 1448, a(14) = 4924, a(15) = 17009, a(16) = 59524, a( 17) = 210594, a(18) = 752014, a(19) = 2706876, a(20) = 9811155, a(21) = 35777593}, [0, 0, 0, 0, 0, 1, 2, 5, 14, 42, 133, 434, 1448, 4924, 17009, 59524, 210594, 752014, 2706876, 9811155, 35777593, 131170210, 483210646, 1787717410, 6639544076, 24745519544, 92520308486, 346929042103, 1304376581193, 4916229565691, 18571489438022, 70303072529210, 266655248461110, 1013248911036207, 3856736975160460, 14703288521104146, 56137961639590990, 214638436067674963, 821734387548451439, 3149894331794496241, 12088466450363371621, 46444007490342849223, 178626595969071702292, 687697045062065311619, 2650093393377225634198, 10221582629568032282758, 39459305196795428477766, 152453614359919409504613, 589477004749561868297820, 2280981619022998154091626], 203309010517732677694195847544172008275871302354477\ 0947738101538845649991742276284641606737015714988861069152431200500862909566028\ 6408584606541504814620095906144655413422186729419530018170808502255290041640708\ 0031828723073007688451677035586758571414393146477035213737588155543735151978973\ 3594710186138543017927428433331416645023471459914324728931888679482029948109078\ 2785232335366686401747878270697888405067292205617541310335633245216855510915079\ 0489893732184573468175122047915402859264390788419018497353588514360228078419838\ 5530662531292187867527496610902686843446806171354398280609283938768646] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {2, 3, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-2*P*x^10-2*P*x^9+2*P^2*x^7+x^9+2*P^2*x^6-2*P*x^7-P ^2*x^5-4*P*x^6-P^2*x^4+P*x^5+2*x^6+P^2*x^3+2*P*x^4-2*P*x^3-x^4-P^2*x+x^3+P^2+2* P*x-2*P-x+1, (-1+(x^5+x^2)*C)/(-1+(x^6+x^5+x^2)*C), {-5*n*(n-5)*a(n)+3*(n-1)*( 17*n-104)*a(n-1)-12*(n-2)*(14*n-99)*a(n-2)+(n-3)*(187*n-1472)*a(n-3)+(198*n-792 )*a(n-4)-8*(n-5)*(29*n-198)*a(n-5)+(211*n^2-3143*n+11292)*a(n-6)+(122*n^2-562*n -2244)*a(n-7)+(-283*n^2+3617*n-10200)*a(n-8)+(-27*n^2-1323*n+12828)*a(n-9)+(180 *n^2-1188*n-5760)*a(n-10)+(-71*n^2+643*n+3480)*a(n-11)+(-92*n^2-1226*n+25152)*a (n-12)+(-52*n^2+2954*n-33924)*a(n-13)+(65*n^2-973*n+5340)*a(n-14)+(83*n^2-3859* n+38568)*a(n-15)+(-90*n^2+3462*n-33888)*a(n-16)+(-71*n^2+3001*n-29676)*a(n-17)+ (206*n^2-7750*n+72696)*a(n-18)+(177*n^2-6603*n+61692)*a(n-19)+(-4*n^2+212*n-\ 2208)*a(n-20)+(83*n^2-3253*n+31644)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*( 2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a (6) = 1, a(7) = 1, a(8) = 3, a(9) = 7, a(10) = 20, a(11) = 60, a(12) = 187, a( 13) = 602, a(14) = 1991, a(15) = 6725, a(16) = 23109, a(17) = 80527, a(18) = 283899, a(19) = 1010791, a(20) = 3629245, a(21) = 13126068, a(22) = 47776669, a (23) = 174876250}, [0, 0, 0, 0, 0, 1, 1, 3, 7, 20, 60, 187, 602, 1991, 6725, 23109, 80527, 283899, 1010791, 3629245, 13126068, 47776669, 174876250, 643288757, 2376902661, 8817636026, 32829288520, 122629649916, 459440578394, 1726052250522, 6500897885718, 24541596684882, 92846830911656, 351964621371917, 1336713836287918, 5085472174918101, 19378881014234169, 73958220988970076, 282660013265704618, 1081747325064874930, 4145122325812331876, 15902604997465705819, 61078789325019063296, 234843129430627660470, 903871418481036746605, 3482207697539926312439, 13427693013312734784977, 51823628015508974767049, 200177930256748509729913, 773838000837952929858134], 6623471809809171482872842080714142550187957515028227188545780969066787528509559\ 2537308705194865191357831880982809314993685010747019474531595658544172870951943\ 9829024691199415357917257309818688697367450932675613807252270408558469476583841\ 6371009914739073889740491655210518628205986658662791316488209184427302949041888\ 7938551927759461369465132069298854872652846128320691929915632145654531096831405\ 4743088064193794001333324579934560767288214188172555919258224846405629241903437\ 0502111803202053561213481179793349171772296068719988205359358961206536402123310\ 72287214343360644366651997555586820776296] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {2, 4, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-2*P*x^10+2*P^2*x^8-2*P*x^9+2*P^2*x^7-2*P*x^8+x^9-4 *P*x^7+2*x^7-P^2*x^4-P*x^5+2*P*x^4+x^5-P^2*x^2-x^4+2*P*x^2+P^2-x^2-2*P+1, (-1+( x^5+x^3)*C)/(-1+(x^6+x^5+x^3)*C), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-2*(n -2)*(40*n-309)*a(n-2)-4*(n-3)*(17*n-112)*a(n-3)+3*(n-4)*(49*n-375)*a(n-4)-2*(13 *n-12)*(n-5)*a(n-5)+(53*n^2-457*n+864)*a(n-6)+(26*n^2-496*n+2088)*a(n-7)+(-33*n ^2+1563*n-10524)*a(n-8)+(-51*n^2-75*n+5760)*a(n-9)+(-175*n^2+1391*n+1632)*a(n-\ 10)+(44*n^2-580*n+2292)*a(n-11)+(22*n^2-2792*n+29988)*a(n-12)+(-98*n^2+1456*n-\ 8604)*a(n-13)+(41*n^2+1013*n-21276)*a(n-14)+(-6*n^2+984*n-10908)*a(n-15)+(-22*n ^2+1544*n-18912)*a(n-16)+(90*n^2-2640*n+19812)*a(n-17)+(46*n^2-1748*n+16200)*a( n-18)+(230*n^2-8548*n+79308)*a(n-19)+(222*n^2-8202*n+75816)*a(n-20)+(123*n^2-\ 4593*n+42804)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36*(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 6, a(10) = 16, a(11) = 48, a(12) = 150, a(13) = 481, a(14) = 1592, a(15) = 5384, a(16) = 18519, a(17) = 64602, a(18) = 227984, a(19) = 812460, a( 20) = 2919595, a(21) = 10567499, a(22) = 38490468, a(23) = 140974239}, [0, 0, 0 , 0, 0, 1, 1, 2, 6, 16, 48, 150, 481, 1592, 5384, 18519, 64602, 227984, 812460, 2919595, 10567499, 38490468, 140974239, 518873472, 1918188877, 7119296448, 26517590319, 99092426342, 371392504413, 1395739721551, 5258474255701, 19857082572673, 75144503393050, 284930403360990, 1082382499719123, 4118790343792365, 15698469530983726, 59923881101299633, 229064513712132492, 876788289076688100, 3360296558566103774, 12893655813089486902, 49529307974720235891, 190462944981613490067, 733157163076250981736, 2824880647848849933960, 10894297917472784651013, 42050934724294176084035, 162447031539693473859380, 628045746099913668047983], 53994805791356960361046717\ 7767607358125868889308030169881694494051648633954802109927085365276744109521362\ 4648108605668520758148100710230964362193106870018821853560698468734406109228863\ 0859889198875890047781637485091438067753805475556306839858491015576962781015979\ 1422678315243472402757943984925692793302082261379459786856026533819343001021459\ 7530931237099556312566913430476769371198340974542095176625634573953962140138335\ 2415427289161732625683656038761182625673308305293285172634606400658963288318571\ 7479222563562251018520396596023385477022624796126991548820614517125613179889744\ 810272717868172] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {3, 4, 5} [P^2*x^11+2*P^2*x^10+3*P^2*x^9-2*P*x^10+2*P^2*x^8-4*P*x^9+P^2*x^7-4*P*x^8+x^9-2 *P*x^7+2*x^8-P^2*x^5+x^7-P^2*x^4+P*x^5-P^2*x^3+2*P*x^4+2*P*x^3-x^4-x^3+P^2-2*P+ 1, (-1+(x^5+x^4)*C)/(-1+(x^6+x^5+x^4)*C), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n -1)-44*(n-2)*(2*n-15)*a(n-2)+(n-3)*(7*n-32)*a(n-3)-18*(n-4)*(3*n-19)*a(n-4)+3*( n-5)*(27*n-232)*a(n-5)+(67*n^2-995*n+3588)*a(n-6)+2*(4*n-17)*(13*n-96)*a(n-7)+9 *(n+37)*(n-8)*a(n-8)+(-67*n^2+1445*n-7764)*a(n-9)+(-92*n^2+1162*n-1248)*a(n-10) +(-145*n^2-109*n+17628)*a(n-11)+(-46*n^2-2008*n+29448)*a(n-12)+(-57*n^2+225*n+ 1080)*a(n-13)+(23*n^2+845*n-16140)*a(n-14)+(-55*n^2+3947*n-46248)*a(n-15)+(-80* n^2+4360*n-47304)*a(n-16)+(-60*n^2+2676*n-27312)*a(n-17)+(78*n^2-2838*n+25848)* a(n-18)+(263*n^2-9613*n+87684)*a(n-19)+(404*n^2-14932*n+137472)*a(n-20)+(389*n^ 2-14683*n+137700)*a(n-21)+2*(109*n-1892)*(n-21)*a(n-22)+36*(2*n-35)*(n-22)*a(n-\ 23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 5, a(10) = 15, a(11) = 45, a(12) = 140, a(13) = 450, a(14) = 1492, a(15) = 5055, a(16) = 17417, a(17) = 60834, a(18) = 214914, a(19) = 766577, a(20) = 2756846, a(21) = 9985093, a(22) = 36390281, a(23) = 133350084}, [0, 0, 0, 0, 0, 1, 1, 2, 5, 15, 45, 140, 450, 1492, 5055, 17417, 60834, 214914, 766577, 2756846, 9985093, 36390281, 133350084, 491032949, 1815994975, 6742427082, 25121966507, 93904652470, 352042689583, 1323342169694, 4986825816519, 18835141503932, 71290689821423, 270364992204578, 1027219027251884, 3909468640490995, 14902760734890476, 56894037016829980, 217509606262512879, 832656570375056304, 3191511012509350761, 12247280311684737135, 47050928120083386252, 180949124600381762647, 696596066857090152327, 2684231909601960504827, 10352693851785987176105, 39963387987675183708024, 154393636120847413617194, 596950638576713737383007], 5146152716443501933987263283936952975576489005431463880152498862721783626553946\ 9037222747310024022341112223721038620718245024826159255040572910055610055864672\ 9968515757978748024752714684209339751193863966495286465798707426553527713453377\ 8871972357467936354022407880001813552327634370328206308131637587177434121116812\ 7112419111420462886193279125884093668028615426275670509223169152609126452902543\ 1267593516270459707536970513127915185828584509491834787489805832310923493626645\ 2399431132317337706752284117108790182787393887676444778434137098114432509491982\ 49648013987489597339442201392688465839621] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 2, 3, 4} [P^2*x^10+2*P^2*x^5-P^2*x^4-2*P*x^5+P*x^4+P^2-2*P+1, -1/(C*x^5-x^5-1), {-2*n*(n -4)*a(n)+(n-1)*(17*n-90)*a(n-1)-18*(n-2)*(2*n-13)*a(n-2)+2*n*(n-4)*a(n-4)-3*(7* n-6)*(n-5)*a(n-5)+(69*n^2-498*n+528)*a(n-6)+(-68*n^2+518*n-384)*a(n-7)-(n+20)*( n-6)*a(n-10)+(11*n^2+31*n-702)*a(n-11)+(-28*n^2+118*n+636)*a(n-12)-(n-10)*(n-12 )*a(n-16)+2*(2*n-23)*(n-12)*a(n-17) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0 , a(5) = 0, a(6) = 1, a(7) = 2, a(8) = 5, a(9) = 14, a(10) = 42, a(11) = 132, a (12) = 430, a(13) = 1434, a(14) = 4876, a(15) = 16844, a(16) = 58951, a(17) = 208584}, [0, 0, 0, 0, 0, 1, 2, 5, 14, 42, 132, 430, 1434, 4876, 16844, 58951, 208584, 744903, 2681518, 9720066, 35448220, 129972095, 478828978, 1771615344, 6580111664, 24525283724, 91701239844, 343872826135, 1292938346782, 4873301741782, 18409968296328, 69693891290356, 264352665615894, 1004527870084242, 3823643286793404, 14577485468640885, 55658938058843536, 212811609078269429, 814757336758008902, 3123210820500613557, 11986283943013718930, 46052228363691034365, 177122732552942555550, 681918063349090311901, 2627863080935217807232, 10135983674630093089640, 39129392528791945602524, 151180938991719478592072, 584563331789896972262568, 2261994988379187230115339], 201717458737778469093524118355845026880804362752475\ 4278176519626537674441882937385116430797405748666720666246560736668156285532604\ 5176155506996267253939517944945026207862265899812840633760238355187054026663686\ 5883253837557654913613315174493482573447156329440198739588145396309386096990961\ 8533062598170920244421982700680351108207126831049081161364519482364389942018780\ 0239875722162053631737722866497495037397227922656792068380859966896093437405781\ 3897163755727472899128698870568876523037370495083644846120499660462781372118913\ 1570164895890057245587648772185436571792681291390371813974867563124273] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 2, 3, 5} [P^2*x^11+2*P^2*x^7-2*P*x^7-P^2*x^5+P*x^5+P^2*x^3-2*P*x^3-P^2*x+x^3+P^2+2*P*x-2 *P-x+1, (C*x^2-1)/(-1+(x^6+x^2)*C), {-5*n*(n-5)*a(n)+3*(n-1)*(17*n-104)*a(n-1)-\ 12*(n-2)*(14*n-99)*a(n-2)+(n-3)*(187*n-1472)*a(n-3)-6*(n-4)*(n-36)*a(n-4)-5*(n-\ 5)*(35*n-264)*a(n-5)+(63*n^2-1251*n+5268)*a(n-6)+(137*n^2-1603*n+4308)*a(n-7)+( -38*n^2+1480*n-8784)*a(n-8)+(-225*n^2+1563*n+2892)*a(n-9)+(162*n^2-1902*n+3432) *a(n-10)+(18*n^2-192*n-276)*a(n-11)+(-16*n^2+560*n-1776)*a(n-12)+(-110*n^2+838* n+432)*a(n-13)+(58*n^2-440*n-1344)*a(n-14)+(-10*n^2+494*n-4344)*a(n-15)+(8*n^2-\ 724*n+7776)*a(n-16)-(n-12)*(n-11)*a(n-17)+6*(n-13)*(n-12)*a(n-18)-2*(7*n-92)*(n -15)*a(n-19)+12*(2*n-29)*(n-16)*a(n-20) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 3, a(9) = 7, a(10) = 20, a(11) = 59, a(12) = 185, a(13) = 595, a(14) = 1971, a(15) = 6662, a(16) = 22908, a(17) = 79867, a(18) = 281693, a(19) = 1003283, a(20) = 3603321}, [0, 0, 0, 0, 0, 1, 1, 3, 7, 20, 59, 185, 595, 1971, 6662, 22908, 79867, 281693, 1003283, 3603321, 13035419, 47456290, 173733451, 639179686, 2362024550, 8763433710, 32630747784, 121898869620, 456739034973, 1716025988878, 6463554991727, 24402062692171, 92323912165207, 349999612729794, 1329311355758943, 5057521660583271, 19273119334361091, 73557237027084315, 281136919367219986, 1075952048974983215, 4123036113264334967, 15818305612825419951, 60756575680115404702, 233609900710644103732, 899145454403102568962, 3464075353962653409132, 13358045388883122309670, 51555821076718716073625, 199147124660089380504708, 769866550030326455822650], 6593741183267156467850029279390310213330457555767525\ 6281680994643760727838758382154118240177922830048075657637336880511169561107257\ 3098023427427534365630582513572273685940597254821241920346050808442095663198236\ 4710638835756783825392211607124141406079009979161378411840066132392571179782021\ 6160745965324340198988981286192251599504914767985938486543099462679594729856859\ 0306111203229827058538855707510750429982948537569728783979122924461181667664291\ 6634276060188963988054630372164129551213980686610778288279317079205061786677696\ 80254893261591109642404602527741618425490923819074998354699632566914] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 2, 4, 5} [P^2*x^11+2*P^2*x^8-2*P*x^8-P*x^5+x^5-P^2*x^2+2*P*x^2+P^2-x^2-2*P+1, (C*x^3-1)/ (-1+(x^6+x^3)*C), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n-1)-2*(n-2)*(40*n-309)*a (n-2)-4*(n-3)*(17*n-112)*a(n-3)+3*(n-4)*(47*n-369)*a(n-4)+2*(n-5)*(13*n-108)*a( n-5)+(-55*n^2+845*n-3060)*a(n-6)-2*(n-12)*(2*n-25)*a(n-7)+(-8*n^2-14*n+492)*a(n -8)+(66*n^2-24*n-4176)*a(n-9)+(-133*n^2+353*n+8064)*a(n-10)+(-35*n^2+31*n+3144) *a(n-11)+(114*n^2-702*n-4512)*a(n-12)+(-85*n^2+803*n-1236)*a(n-13)-12*(n-4)*(2* n-17)*a(n-14)+(48*n^2-672*n+1992)*a(n-15)+6*(n-13)*(n-16)*a(n-16)+(-43*n^2+1349 *n-10476)*a(n-17)+(76*n^2-2582*n+21720)*a(n-18)+3*(n-13)*(n-16)*a(n-19)-2*(11*n -156)*(n-17)*a(n-20)+20*(2*n-31)*(n-18)*a(n-21) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 6, a(10) = 16, a(11 ) = 47, a(12) = 148, a(13) = 476, a(14) = 1576, a(15) = 5336, a(16) = 18368, a( 17) = 64109, a(18) = 226347, a(19) = 806913, a(20) = 2900485, a(21) = 10500790} , [0, 0, 0, 0, 0, 1, 1, 2, 6, 16, 47, 148, 476, 1576, 5336, 18368, 64109, 226347, 806913, 2900485, 10500790, 38254956, 140134760, 515856444, 1907268156, 7079518834, 26371902982, 98556217395, 369410288705, 1388383047894, 5231073520152, 19754693906368, 74760771644888, 283488346484300, 1076949728633848, 4098275828873658, 15620839867764513, 59629537567923086, 227946409576749924, 872533700919552409, 3344080994557713516, 12831759879013517149, 49292711665028281816, 189557351353590826345, 729686558226922068880, 2811564057605218455145, 10843145158769837829394, 41854233281267955545054, 161689876572328506139976, 625128461408097044848872], 5377586603968045017477251240629057356012533568323470564002092007413693489529163\ 7745194707469536467420419615770425814949355749492314738898916498803323142223402\ 0519982433884509207286916928444227784906586974260136311916634050548647722838748\ 6029742294080123187790571083597505631334311455277172607810911476117125370891611\ 8164966130809400029826878677864981713438391151620507523605187794526726225522741\ 3031420157121856717404606260816536480531628759799669021905693799227926419828852\ 2029004599764781096952840340981152788691167544479536186551912394199897169199391\ 88689839878215256276193148826667617145988] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 3, 4, 5} [P^2*x^11+2*P^2*x^9-2*P*x^9+P^2*x^7-2*P*x^7-P^2*x^5+x^7+P*x^5-P^2*x^3+2*P*x^3-x ^3+P^2-2*P+1, (C*x^4-1)/(-1+(x^6+x^4)*C), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a(n -1)-44*(n-2)*(2*n-15)*a(n-2)+(n-3)*(7*n-32)*a(n-3)-60*(n-4)*(n-6)*a(n-4)+(n-5)* (133*n-936)*a(n-5)+(-45*n^2+357*n-492)*a(n-6)+(107*n^2-1255*n+3432)*a(n-7)-2*(n -8)*(7*n-372)*a(n-8)+(-51*n^2-291*n+6564)*a(n-9)+(10*n^2+1276*n-12336)*a(n-10)+ (-128*n^2-470*n+17556)*a(n-11)+(52*n^2-92*n-3696)*a(n-12)+(-81*n^2+27*n+7620)*a (n-13)+(4*n^2+1246*n-17304)*a(n-14)+(-4*n^2-292*n+4464)*a(n-15)+(24*n^2+144*n-\ 6672)*a(n-16)+(-59*n^2+1837*n-14316)*a(n-17)+(118*n^2-3914*n+32568)*a(n-18)+(-\ 74*n^2+2446*n-20088)*a(n-19)+(140*n^2-4948*n+43536)*a(n-20)-6*(5*n-76)*(n-19)*a (n-21)+28*(2*n-33)*(n-20)*a(n-22) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 5, a(10) = 15, a(11) = 44, a(12) = 138, a(13) = 445, a(14) = 1478, a(15) = 5011, a(16) = 17278, a(17) = 60382, a (18) = 213413, a(19) = 761486, a(20) = 2739295, a(21) = 9923767, a(22) = 36173593}, [0, 0, 0, 0, 0, 1, 1, 2, 5, 15, 44, 138, 445, 1478, 5011, 17278, 60382, 213413, 761486, 2739295, 9923767, 36173593, 132577126, 488253104, 1805926631, 6705734052, 24987510318, 93409560276, 350211735210, 1316544398127, 4961498356195, 18740471313030, 70935786460554, 269030929901059, 1022191923081041, 3890481794226576, 14830897371188267, 56621505677252860, 216474176166701185, 828715922449091918, 3176489653961855452, 12189934434403984600, 46831694468622745418, 180109880400131447134, 693379350586633269837, 2671888068236244550930, 10305272557056835741540, 39781016688056033528406, 153691573165936748237468, 594245370352687448941910], 5125779097337434346553880137276246871184677757165505424594114467246159713981962\ 9278639489350241861532453913298043701357007258438370846622663056694331266754810\ 6792726287035566022841045565658170437984438410181710878859632663318178094749284\ 5272082118838077501635903213207738361241648800445302531189513385485169942648665\ 5636917718034330808947750261391208999682345378914281360588862241970537691654654\ 1440686693614935991180987480885961926972652933076374696983595138978019387805405\ 9020140959634774132344628466012160447541114524660452629315714893341658016713616\ 74187141802901274818824162051320688519305] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {2, 3, 4, 5} [P^2*x^11+2*P^2*x^10+P^2*x^9-2*P*x^10-2*P*x^9+x^9-P^2*x^5-P^2*x^4+P*x^5+2*P*x^4 -x^4+P^2-2*P+1, (C*x^5-1)/(-1+(x^6+x^5)*C), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-44)*a (n-1)-44*(n-2)*(2*n-15)*a(n-2)+6*(n-4)*(n-3)*a(n-4)-(n-5)*(47*n-240)*a(n-5)+(69 *n^2-1023*n+3684)*a(n-6)+(92*n^2-934*n+1920)*a(n-7)-(n-9)*(n-8)*a(n-8)+8*(n-9)* (n-26)*a(n-9)+(-6*n^2+894*n-8592)*a(n-10)+(-18*n^2+210*n+1524)*a(n-11)+(-66*n^2 -1380*n+24744)*a(n-12)-(13*n-48)*(7*n-47)*a(n-13)+(13*n^2-563*n+5364)*a(n-14)+( 11*n^2-343*n+2448)*a(n-15)+(-50*n^2+2584*n-28344)*a(n-16)+(-41*n^2+2155*n-23892 )*a(n-17)+(8*n^2-226*n+1608)*a(n-18)+(-17*n^2+595*n-5148)*a(n-19)+(-28*n^2+944* n-7776)*a(n-20)+(83*n^2-3253*n+31644)*a(n-21)+(162*n^2-6318*n+60984)*a(n-22)+36 *(2*n-35)*(n-22)*a(n-23) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 5, a(10) = 14, a(11) = 43, a(12) = 135, a( 13) = 436, a(14) = 1449, a(15) = 4918, a(16) = 16971, a(17) = 59352, a(18) = 209887, a(19) = 749241, a(20) = 2696253, a(21) = 9770933, a(22) = 35626160, a( 23) = 130601462}, [0, 0, 0, 0, 0, 1, 1, 2, 5, 14, 43, 135, 436, 1449, 4918, 16971, 59352, 209887, 749241, 2696253, 9770933, 35626160, 130601462, 481075942, 1779702120, 6609419301, 24632149080, 92093012677, 345315987090, 1298277356065, 4893130105554, 18483866609194, 69970182010745, 265388672638049, 1008422974213504, 3838323868117250, 14632942121116710, 55868869597535468, 213607861056751741, 817782953991256744, 3134727192492358855, 12030188366533770983, 46219857242372760840, 177763644431553209538, 684371761317970233682, 2637268639822686673944, 10172079664169096779705, 39268073435035996990231, 151714313743289172808226, 586616776093175818371582], 5065499291425553414832097379188316634361815427897104704318142075774837263335149\ 2337280708537707788030087182437408633403165475953101006092487322616341310040517\ 7506795639883127328063422449116990217712932884166367355796113105943898506340994\ 9200252742846153386792616100047279043364953142725127618357975525360326329686630\ 3068716492138399906122776502077697293363005738145053384129275872867823910814397\ 6524499597279671740870159698385550861685120135227554254371104461599287182140657\ 3564728859482100395545822207046080921510897895687394633035092636263055340202850\ 49014167018024784927287514889026227096054] ---------------------------- (A,B)= , {1, 2, 3, 4, 5}, {1, 2, 3, 4, 5} [P^2*x^11-P^2*x^5+P*x^5+P^2-2*P+1, -1/(C*x^6-1), {-5*n*(n-5)*a(n)+6*(n-1)*(7*n-\ 44)*a(n-1)-44*(n-2)*(2*n-15)*a(n-2)+5*n*(n-5)*a(n-5)+(-43*n^2+329*n-396)*a(n-6) +(92*n^2-934*n+1920)*a(n-7)-2*(2*n+11)*(n-6)*a(n-11)+(38*n^2-208*n-336)*a(n-12) -44*(n-2)*(2*n-15)*a(n-13)-(n-12)*(n-11)*a(n-17)+2*(n-12)*(2*n-25)*a(n-18) = 0, a(1) = 0, a(2) = 0, a(3) = 0, a(4) = 0, a(5) = 0, a(6) = 1, a(7) = 1, a(8) = 2, a(9) = 5, a(10) = 14, a(11) = 42, a(12) = 133, a(13) = 431, a(14) = 1435, a(15) = 4876, a(16) = 16838, a(17) = 58918, a(18) = 208442}, [0, 0, 0, 0, 0, 1, 1, 2, 5, 14, 42, 133, 431, 1435, 4876, 16838, 58918, 208442, 744333, 2679311, 9711669 , 35416546, 129853099, 478382602, 1769941066, 6573827213, 24501666728, 91612357821, 343537787810, 1291673344057, 4868517549354, 18391845027211, 69625127857279, 264091359685071, 1003533411612823, 3819853249700592, 14563021310426907, 55603665503238749, 212600130159570360, 813947232023555777, 3120104056483657797, 11974356538653331045, 46006389598279953902, 176946393292038414481, 681239054870639671096, 2625246142799564153794, 10125889128323301764473, 39090421738481413486235, 151030369994711886836432, 583981146047737173188776], 5045602054052038747205574940301741672723102192572646\ 4349842593974520481164209149489896977419454816240626000831514310745135336985914\ 5460408465374469679693048654826096218902644747123130357621696579106375564422255\ 0755867024835971236539855291564572112312590561477412001896402415071530360561099\ 0797039874573496882179753840019290204182036987972394021033132729292438884380995\ 0655012724018991287436470043887150944056447654309264164142576235701595608125840\ 4542973886743716373640308983175885446970188308958487354113393512081906722177146\ 78434596052336744646348581205430034198214793231289429348714042892447] ------------------------- This took, 371.807, second.