The first, 300, terms of all the enumerating sequences of partitions avoiding\ sets of up to , 3, patterns each of length up to , 3, whose entries are from 0 to, 1 The first, 300, terms of all the enumerating sequences of partitions avoiding sets of, 1, patterns each of length, 1, whose entries are from 0 to, 1 For the set of patterns, {[0]}, the first, 300, terms are [1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 22, 27, 32, 38, 46, 54, 64, 76, 89, 104, 122, 142, 165, 192, 222, 256, 296, 340, 390, 448, 512, 585, 668, 760, 864, 982, 1113, 1260, 1426, 1610, 1816, 2048, 2304, 2590, 2910, 3264, 3658, 4097, 4582, 5120, 5718, 6378, 7108, 7917, 8808, 9792, 10880, 12076, 13394, 14848, 16444, 18200, 20132, 22250, 24576, 27130, 29927, 32992, 36352, 40026, 44046, 48446, 53250, 58499, 64234, 70488, 77312, 84756, 92864, 101698, 111322, 121792, 133184, 145578, 159046, 173682, 189586, 206848, 225585, 245920, 267968, 291874, 317788, 345856, 376256, 409174, 444793, 483330, 525016, 570078, 618784, 671418, 728260, 789640, 855906, 927406, 1004544, 1087744, 1177438, 1274118, 1378304, 1490528, 1611388, 1741521, 1881578, 2032290, 2194432, 2368800, 2556284, 2757826 , 2974400, 3207086, 3457027, 3725410, 4013544, 4322816, 4654670, 5010688, 5392550, 5802008, 6240974, 6711480, 7215644, 7755776, 8334326, 8953856, 9617150 , 10327156, 11086968, 11899934, 12769602, 13699699, 14694244, 15757502, 16893952, 18108418, 19406016, 20792120, 22272512, 23853318, 25540982, 27342421, 29264960, 31316314, 33504746, 35839008, 38328320, 40982540, 43812110, 46828032, 50042056, 53466624, 57114844, 61000704, 65139008, 69545358, 74236384, 79229676, 84543782, 90198446, 96214550, 102614114, 109420549, 116658616, 124354422, 132535702, 141231780, 150473568, 160293888, 170727424, 181810744, 193582642, 206084096, 219358315, 233451098, 248410816, 264288462, 281138048, 299016608, 317984256, 338104630, 359444904, 382075868, 406072422, 431513602, 458482688, 487067746, 517361670, 549462336, 583473184, 619503296, 657667584, 698087424, 740890786, 786212446, 834194700, 884987529, 938748852, 995645336, 1055852590, 1119555488, 1186949056, 1258238720, 1333640710, 1413383026, 1497705768, 1586861606, 1681116852, 1780751883, 1886061684, 1997357056, 2114965120, 2239229960, 2370513986, 2509198528, 2655684608, 2810394454, 2973772212, 3146284870, 3328423936, 3520706304, 3723675326, 3937902688, 4163989458, 4402567324, 4654300706, 4919887992, 5200062976, 5495597248, 5807301632, 6136027874, 6482671322, 6848172604, 7233519619, 7639750522, 8067955712, 8519280128, 8994926602, 9496158208, 10024300890, 10580747264, 11166959338, 11784471548, 12434895064, 13119920928, 13841323582, 14600965705, 15400801856, 16242882560, 17129359744, 18062490974, 19044644146, 20078303620, 21166075136, 22310691192, 23515017984, 24782061070, 26114971540, 27517053882, 28991772486, 30542758738, 32173819904, 33888946600, 35692320960, 37588326642, 39581557440, 41676826624, 43879178240, 46193897032, 48626519094, 51182844672, 53868949522, 56691197084, 59656252987, 62771098024, 66043042088, 69479740554, 73089209120, 76879839744, 80860419136, 85040145750, 89428647940, 94036004868, 98872765938, 103949971456, 109279176298, 114872472064] For the set of patterns, {[1]}, the first, 300, terms are [1, 2, 2, 4, 4, 8, 8, 13, 15, 22, 24, 37, 40, 57, 64, 89, 98, 135, 149, 199, 224, 292, 325, 424, 472, 601, 676, 850, 950, 1191, 1329, 1643, 1845, 2258, 2524 , 3082, 3442, 4158, 4659, 5591, 6246, 7472, 8338, 9903, 11072, 13077, 14586, 17184, 19150, 22431, 25019, 29184, 32492, 37807, 42053, 48720, 54212, 62585, 69534, 80104, 88921, 102071, 113306, 129695, 143788, 164259, 181953, 207260, 229542, 260831, 288548, 327312, 361805, 409409, 452399, 510874, 563961, 635841, 701378, 789156, 870132, 977270, 1076581, 1207425, 1329166, 1488062, 1637325, 1830202, 2012145, 2246259, 2467861, 2750769, 3020646, 3362253, 3689342, 4101767 , 4497862, 4993877, 5473336, 6069450, 6647537, 7363626, 8059958, 8917471, 9755781, 10781744, 11787620, 13014515, 14220288, 15683438, 17127847, 18871277, 20596698, 22672765, 24731814, 27198238, 29653632, 32581175, 35502094, 38974689, 42446006, 46556628, 50678817, 55540498, 60425314, 66171135, 71954056, 78732621, 85573337, 93563266, 101640244, 111051262, 120578984, 131645944, 142875921, 155879255, 169093890, 184361097, 199896908, 217796400, 236046555, 257014692, 278421810, 302966836, 328054923, 356749412, 386128207, 419646813, 454004450, 493129735, 533275751, 578891457, 625764922, 678906128, 733568145, 795432514, 859125112, 931065938, 1005225151, 1088820821, 1175071095, 1272141917, 1372375533, 1484980616, 1601379557, 1731909499, 1866942900, 2018148479, 2174681087, 2349673872, 2530999929, 2733379948, 2943228221, 3177126675, 3419806915, 3689898104, 3970354568, 4282027002, 4605854979, 4965279499, 5338925027, 5753080795, 6183921529, 6660830886, 7157213772, 7706042595, 8277553996, 8908666305, 9566255246, 10291529095, 11047576301, 11880557416, 12749243438, 13705237997, 14702725779, 15799232904, 16943788225, 18200723931, 19513214094, 20953070168, 22457235344, 24105662802, 25828311463, 27714454046, 29686142249, 31842885859, 34098312935, 36563083080, 39141402689, 41956645415, 44902386758, 48115962407, 51479607526, 55145868864, 58984329946, 63164823972, 67542697607, 72306758885, 77297156939, 82723378885, 88408652777, 94585889699, 101059332452, 108087595352, 115454636045, 123447084309, 131826363256, 140910744356, 150436428890, 160756393022, 171579877387, 183297691248, 195589180180, 208887763843, 222839414938, 237924270724, 253752608880, 270855496685, 288803712471, 308185539722, 328527760151, 350481359389, 373526050690, 398381178811, 424474461508, 452601854086, 482133294278, 513948659555, 547356052902, 583326839817, 621100943042, 661752033736, 704444423708, 750363801601, 798593559417, 850441496695, 904901925827, 963418908147, 1024888177941, 1090902931228, 1160253391248, 1234695306457, 1312902949838, 1396813110424, 1484971989773, 1579514429327, 1678849569839, 1785328099901, 1897208769930, 2017082222873, 2143041422044, 2277939401309, 2419691715006, 2571437314348, 2730897406534, 2901528255055, 3080837202766, 3272627337933, 3474177210648, 3689667769434, 3916127297194, 4158155415639, 4412505509647, 4684234620309, 4969802120283, 5274763299160, 5595256418174, 5937388006629, 6296944204849, 6680633529757, 7083865674516, 7514004746242, 7966049883845, 8448089476082, 8954673237884, 9494680187483, 10062179765114, 10666911818819, 11302422783828, 11979402275168] The first, 300, terms of all the enumerating sequences of partitions avoiding sets of, 2, patterns each of length, 1, whose entries are from 0 to, 1 For the set of patterns, {[0], [1]}, the first, 300, terms are [1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 10, 12, 14, 17, 19, 23, 26, 31, 35, 41, 46 , 54, 61, 70, 79, 91, 102, 117, 131, 149, 167, 189, 211, 239, 266, 299, 333, 374, 415, 465, 515, 575, 637, 709, 783, 871, 961, 1065, 1174, 1299, 1429, 1579, 1735, 1913, 2100, 2311, 2533, 2785, 3049, 3345, 3659, 4010, 4380, 4794, 5231, 5717, 6233, 6804, 7409, 8080, 8790, 9573, 10406, 11322, 12294, 13363, 14498, 15742, 17066, 18512, 20050, 21732, 23519, 25466, 27540, 29796, 32196, 34806, 37582, 40594, 43802, 47276, 50974, 54979, 59239, 63843, 68747, 74040, 79672, 85749, 92214, 99180, 106595, 114573, 123061, 132193, 141904, 152337, 163437, 175351, 188019, 201611, 216059, 231545, 248009, 265639, 284375, 304433, 325740, 348527, 372738, 398613, 426091, 455446, 486610, 519878, 555196, 592872, 632854, 675492, 720724, 768926, 820060, 874520, 932269, 993752, 1058930, 1128282, 1201792, 1279966, 1362800, 1450863, 1544145, 1643259, 1748235, 1859723, 1977764 , 2103085, 2235735, 2376499, 2525470, 2683483, 2850658, 3027926, 3215417, 3414139, 3624287, 3846936, 4082314, 4331616, 4595102, 4874066, 5168844, 5480820 , 5810390, 6159090, 6527357, 6916854, 7328129, 7762967, 8221992, 8707179, 9219227, 9760277, 10331164, 10934191, 11570313, 12242071, 12950519, 13698416, 14487007, 15319265, 16196588, 17122250, 18097808, 19126818, 20211076, 21354418, 22558864, 23828633, 25165957, 26575419, 28059577, 29623383, 31269686, 33003926, 34829259, 36751595, 38774504, 40904379, 43145200, 45503978, 47985097, 50596176, 53342158, 56231292, 59269053, 62464475, 65823597, 69356239, 73069154, 76972981, 81075195, 85387435, 89917918, 94679295, 99680730, 104935934, 110455009, 116252940, 122340836, 128734984, 135447703, 142496649, 149895397, 157663227, 165815024, 174371737, 183349841, 192772053, 202656472, 213027880, 223906118, 235318108, 247285728, 259838176, 272999466, 286801421, 301270312, 316440703, 332341516, 349010233, 366478527, 384787216, 403970936, 424074008, 445134455, 467200332, 490313245, 514525489, 539882486, 566440997, 594250815, 623373474, 653863362, 685787392, 719204906, 754188500, 790803088, 829127353, 869232144, 911202959, 955116990, 1001066959, 1049137208, 1099428206, 1152031869, 1207057290, 1264604548, 1324791905, 1387728528, 1453542513, 1522352734, 1594298188, 1669508159, 1748133258, 1830314358, 1916214534, 2005986996, 2099808583, 2197845811, 2300290203, 2407322949, 2519151340, 2635972286, 2758010431, 2885479566, 3018622867, 3157672750, 3302892305, 3454533847, 3612882310, 3778211452, 3950829562, 4131033908, 4319157881, 4515523961, 4720492996] The first, 300, terms of all the enumerating sequences of partitions avoiding sets of, 1, patterns each of length, 2, whose entries are from 0 to, 1 For the set of patterns, {[0, 0]}, the first, 300, terms are [1, 2, 2, 4, 5, 7, 9, 13, 16, 22, 27, 36, 44, 57, 70, 89, 108, 135, 163, 202, 243, 297, 355, 431, 513, 617, 731, 874, 1031, 1225, 1439, 1701, 1991, 2341, 2731, 3197, 3717, 4333, 5022, 5834, 6741, 7803, 8991, 10375, 11923, 13716, 15723, 18038, 20628, 23603, 26930, 30739, 34996, 39852, 45278, 51449, 58338, 66150, 74866, 84726, 95716, 108117, 121930, 137483, 154791, 174236, 195858, 220104, 247039, 277187, 310649, 348039, 389501, 435753, 486999, 544077, 607261, 677531, 755251, 841570, 936954, 1042749, 1159556, 1288951, 1431692, 1589620, 1763694, 1956069, 2167934, 2401812, 2659177, 2942982, 3255037, 3598795, 3976479 , 4392124, 4848435, 5350131, 5900499, 6505055, 7167766, 7895078, 8691778, 9565393, 10521670, 11569392, 12715452, 13970099, 15341562, 16841795, 18480609, 20271942, 22227453, 24363381, 26693569, 29236923, 32009832, 35034298, 38329700, 41921631, 45832942, 50093388, 54729891, 59777020, 65266425, 71238240, 77729635, 84787182, 92454446, 100785438, 109831162, 119654217, 130314223, 141883681, 154432213, 168043734, 182799423, 198796349, 216129070, 234909803, 255248534, 277274907, 301116744, 326923722, 354844205, 385050883, 417715812, 453038113, 491217080, 532482167, 577064015, 625226864, 677237355, 733399591, 794021576, 859453063, 930049488, 1006212861, 1088353017, 1176931746, 1272421166, 1375351407, 1486265922, 1605772917, 1734497415, 1873136762, 2022409260, 2183113987, 2356075756, 2542209668, 2742462155, 2957880564, 3189550041, 3438668572, 3706479486, 3994352266, 4303710423, 4636118591, 4993205472, 5376757633, 5788637217, 6230883042, 6705622778, 7215181789, 7761989488, 8348696568, 8978075235, 9653145364, 10377068258, 11153282509, 11985390923, 12877306749, 13833133398, 14857321896, 15954543061, 17129856904, 18388576908, 19736452375, 21179524409, 22724322109, 24377709834, 26147098430, 28040283383, 30065672070, 32232112434, 34549137572, 37026784557, 39675857562, 42507736397, 45534659753, 48769523028, 52226183133, 55919245219, 59864390793, 64078153011, 68578269743, 73383447096, 78513739492, 83990301057, 89835794712, 96074131077, 102730909014, 109833141772, 117409731259, 125491181216, 134110108000, 143300940647, 153100470870, 163547539847, 174683630754, 186552542205, 199201026555, 212678450014, 227037480524, 242333734716, 258626519123, 275978464263, 294456323665, 314130595419, 335076383556, 357373007559, 381104931393, 406361361683, 433237249674, 461832879033, 492254946875, 524616142383, 559036313200, 595642036205, 634567876615, 675955952577, 719957294504, 766731405491, 816447729433, 869285209745, 925433875089, 985094399268, 1048479814710, 1115815076810, 1187338915777, 1263303409225, 1343975984442, 1429639003683, 1520591929364, 1617150927241, 1719651208716, 1828446657840, 1943912365669, 2066444287780, 2196461987595, 2334408332059, 2480752461789, 2635989533640, 2800643937642, 2975269096445, 3160450950226, 3356807824278, 3564994205664, 3785700691593, 4019658083209, 4267637428972, 4530454463952, 4808969764317, 5104093562262, 5416786029762, 5748062502763, 6098993914581, 6470712465388, 6864412227931, 7281355302529, 7722872620506, 8190370627821, 8685332314664, 9209324475461, 9763998996500, 10351100743686, 10972469143701, 11630046756502, 12325881189455, 13062134416108] For the set of patterns, {[0, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 13, 18, 24, 33, 42, 57, 72, 93, 118, 153, 188, 240, 296, 369, 454, 564, 683, 842, 1019, 1238, 1492, 1808, 2159, 2600, 3100, 3702, 4392, 5230, 6170, 7311, 8608, 10142, 11894, 13978, 16322, 19104, 22264, 25949, 30143, 35054, 40584, 47040, 54355, 62797, 72364, 83433, 95883, 110244, 126470, 145039, 165994, 190007, 216975, 247791, 282484, 321916, 366240, 416650, 473126, 537184, 609060, 690263, 781226, 884021, 998882, 1128375, 1273182, 1435950, 1617693, 1821967, 2049600, 2304918, 2589536, 2908047, 3262591, 3659240, 4100072, 4592347 , 5139489, 5749380, 6426338, 7180615, 8016740, 8946882, 9977799, 11122942, 12390596, 13797988, 15354249, 17079643, 18986952, 21098934, 23431012, 26011890, 28859043, 32006056, 35476342, 39308077, 43529182, 48187203, 53314286, 58965847, 65183643, 72031194, 79557949, 87842111, 96941108, 106945887, 117929403, 129996429, 143232878, 157766534, 173697687, 191174705, 210322646, 231313113, 254292840, 279469261, 307014181, 337168109, 370142156, 406215214, 445634186, 488733751, 535803270, 587230226, 643366121, 704660842, 771524536, 844493573, 924048333, 1010809274, 1105354431, 1208404469, 1320632439, 1442892518, 1575972282, 1720858882, 1878492414, 2050019351, 2236532144, 2439382681, 2659847426, 2899487336, 3159815913, 3442644675, 3749729214, 4083196093, 4445093060, 4837873068, 5263950208, 5726168288, 6227322638, 6770738516, 7359669960, 7997948471, 8689391612, 9438435651, 10249493530, 11127734345, 12078284455, 13107093360, 14220149493, 15424331594, 16726550833, 18134796325, 19657079704, 21302585877, 23080638611, 25001841015, 27076935804, 29318202165, 31738067435, 34350631897, 37170310014, 40213352901, 43496342177, 47038048229, 50857613459, 54976565781, 59417041925, 64203812705, 69362302948, 74921054487, 80909359619, 87359912182, 94306494516, 101786663164, 109839158892, 118507158856 , 127835208968, 137872705156, 148670894509, 160286426417, 172777981024, 186210549983, 200651478548, 216175024237, 232858487195, 250786891316, 270048616713, 290741018197, 312965340962, 336832677741, 362458995888, 389971291709, 419501961587, 451196154563, 485205271854, 521694733670, 560837616836, 602822727543, 647847380593, 696126997798, 747886834586, 803372086092, 862839785159, 926569365819, 994853446515, 1068010332363, 1146373532061, 1230304886386, 1320184297932, 1416423525226, 1519454477389, 1629745462011, 1747787968035, 1874113693171, 2009281585808, 2153895824924, 2308591028077, 2474053330057, 2651003798396, 2840220486966, 3042522168162, 3258791727747, 3489957571236, 3737020922922, 4001035122753, 4283134154187, 4584512327539, 4906454674337, 5250313701507, 5617544697188, 6009680021766, 6428365971286, 6875337546524, 7352457886831, 7861689374720, 8405139238662, 8985027806628, 9603736103686, 10263774700161, 10967834812579, 11718752607446, 12519568036891, 13373485878769, 14283937148556, 15254540882969, 16289170296828, 17391908968456, 18567126685722, 19819431949868, 21153751165436, 22575282090579, 24089579407783, 25702501332515, 27420307320836, 29249600586211, 31197430175460, 33271234711034, 35478953000107, 37828959487882, 40330190059595, 42992073042471, 45824660746256, 48838562079192, 52045085443943, 55456161400925, 59084504586611, 62943531664976, 67047530818613, 71411581867655, 76051740806245, 80984948088155, 86229236983460, 91803637079867, 97728392672485, 104024869213375, 110715791564693, 117825136532702, 125378400973551, 133402489770498, 141925997260998] For the set of patterns, {[1, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 16, 22, 28, 37, 49, 61, 81, 102, 127, 161, 202, 248, 311 , 382, 466, 571, 698, 841, 1025, 1233, 1479, 1780, 2128, 2529, 3023, 3582, 4242 , 5022, 5922, 6960, 8199, 9603, 11240, 13150, 15341, 17855, 20800, 24136, 27986 , 32427, 37495, 43280, 49966, 57520, 66179, 76079, 87310, 100068, 114669, 131119, 149849, 171105, 195106, 222255, 253074, 287693, 326879, 371085, 420800, 476773, 539922, 610636, 690256, 779641, 879785, 992073, 1118086, 1258766, 1416440, 1592721, 1789523, 2009318, 2254916, 2528291, 2833440, 3173354, 3551572 , 3972537, 4441114, 4961207, 5539686, 6181901, 6894346, 7684805, 8561684, 9532398, 10608533, 11799674, 13117414, 14575197, 16187474, 17967760, 19935581, 22107816, 24504689, 27149199, 30065966, 33279066, 36821096, 40721299, 45014505, 49739560, 54938083, 60652008, 66935355, 73838193, 81419494, 89744319, 98882414, 108905425, 119902240, 131957462, 145169807, 159647138, 175505187, 192864520, 211870374, 232664132, 255408973, 280282137, 307473940, 337184542, 369649682, 405102765, 443810945, 486062886, 532168605, 582456751, 637307070, 697101007, 762271640, 833285086, 910642475, 994877398, 1086597226, 1186419418, 1295039769, 1413205109, 1541718709, 1681438391, 1833329132, 1998381382, 2177703689, 2372483577, 2583998514, 2813615252, 3062856704, 3333298119, 3626691990, 3944912796, 4289976708, 4664043477, 5069501137, 5508834869, 5984794732, 6500318630, 7058566400, 7662924487, 8317113471, 9025024866, 9790943773, 10619444575, 11515445408, 12484217372, 13531522384, 14663410018, 15886513578, 17207909865, 18635203477, 20176543481, 21840799585, 23637313113, 25576288201, 27668605262, 29925949262, 32360837241, 34986845089, 37818304590, 40870818525, 44161016348, 47706745485, 51527115174, 55642788762, 60075620388, 64849331363, 69989193239, 75522310074, 81477685173, 87886600842, 94782188443, 102200313094, 110179171003, 118759697826, 127985668835, 137904197112, 148565231023, 160022712149, 172334068138, 185560797460, 199768621492, 215028138952, 231414252700, 249007680754, 267894327596, 288166116736, 309921215625, 333264904098, 358308935808, 385173508701, 413986499712, 444884638703, 478013843355, 513530376282, 551600158421, 592401337696, 636123377105, 682968700309, 733153184032, 786907711687, 844477472016, 906125308196, 972130659581, 1042791850209, 1118426816633, 1199375202910, 1285997701038, 1378680424917, 1477833716468, 1583895317096, 1697331438824, 1818639598292, 1948348101585, 2087021754296, 2235260575256, 2393704174527, 2563033320967, 2743973797280, 2937296174835, 3143823279277, 3364428900186, 3600043807994, 3851658045431, 4120326180690, 4407167604771, 4713376308972, 5040219737538, 5389047035663, 5761292384101, 6158482175291, 6582236176187, 7034280353386, 7516446121926, 8030681615226, 8579056520928, 9163771900929, 9787162724266, 10451714720600, 11160064416276, 11915014499083, 12719540804835, 13576805773048, 14490163075151, 15463179799980, 16499637887397, 17603555027681, 18779194718737, 20031084711942, 21364024773709, 22783115953562, 24293764315607, 25901709317187, 27613038234143, 29434211440128, 31372074783553, 33433898268083, 35627383418420, 37960701755178, 40442515387543, 43082011660168, 45888922226089, 48873574259414, 52046903394226, 55420505798829, 59006667469872, 62818411688130, 66869527695963, 71174638623005, 75749222772135, 80609684010552, 85773393275917, 91258753523228, 97085242056881, 103273500764274] For the set of patterns, {[1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 14, 21, 27, 39, 51, 69, 89, 120, 153, 202, 255, 330, 415, 531, 661, 835, 1034, 1296, 1594, 1979, 2420, 2983, 3628, 4442, 5377, 6542, 7883 , 9538, 11445, 13780, 16466, 19731, 23494, 28034, 33256, 39525, 46734, 55341, 65231, 76974, 90458, 106402, 124691, 146221, 170896, 199831, 232954, 271666, 315932, 367489, 426373, 494748, 572762, 663091, 766016, 884868, 1020152, 1175982, 1353134, 1556704, 1787865, 2052912, 2353532, 2697492, 3087166, 3532126 , 4035656, 4609544, 5258251, 5996254, 6829545, 7775923, 8843356, 10053668, 11417301, 12961048, 14698557, 16662630, 18870922, 21363570, 24163340, 27319296, 30860586, 34847106, 39316014, 44340378, 49967324, 56285948, 63355761, 71285203, 80149174, 90079630, 101170494, 113582078, 127431738, 142914118, 160175521, 179451989, 200925197, 224881172, 251545054, 281263098, 314313487, 351114963, 392010426, 437505840, 488022938, 544172467, 606471964, 675657867, 752363941, 837477549, 931773275, 1036319074, 1152059698, 1280279515, 1422128879, 1579150842, 1752743378, 1944758647, 2156892936, 2391367433, 2650236833, 2936162368, 3251629023, 3599822409, 3983743387, 4407201905, 4873816299, 5388139023, 5954526793, 6578414785, 7265041575, 8020890126, 8852250704, 9766849739, 10772230928, 11877594449, 13091975246, 14426319130, 15891434273, 17500332411, 19265927170, 21203673066, 23328981441, 25660193108, 28215679503, 31017188990, 34086597189, 37449671872, 41132433317, 45165387563, 49579452313, 54410713673, 59695870371, 65477576428, 71799349388, 78711566875, 86265780622, 94521444728, 103539570460, 113390270448, 124145682725, 135888426461, 148703717380, 162688839683, 177944366900, 194584766995, 212728633594, 232510554873, 254070252310, 277565857785, 303161844529, 331043872878, 361405390300, 394464225302, 430447718704, 469611261516, 512221809802, 558578588136, 608994824649, 663820861983, 723423934573, 788213958501, 858621157838, 935124833105, 1018228624532, 1108492591855, 1206505884134, 1312922500098, 1428431116116, 1553794935783, 1689818401837, 1837391587558, 1997453501472, 2171041524259, 2359250984333, 2563290194208, 2784435952780, 3024094802151, 3283754081967, 3565050087095, 3869714269838, 4199649058280, 4556868772021, 4943583939607, 5362136458834, 5815093341474, 6305175613958, 6835362520496, 7408813625063, 8028984613062, 8699542010313, 9424491845953, 10208086372632, 11054966993266, 11970062314665, 12958746883168, 14026729868670, 15180231331142, 16425860783547, 17770812884501, 19222735082133, 20789944842110, 22481285531287, 24306367512064, 26275411374298, 28399515478286, 30690485596997, 33161131771716, 35825083386792, 38697118505284, 41792963344215, 45129657599144, 48725337262637, 52599639829974, 56773469350541, 61269445813667, 66111651302399, 71326128341002, 76940605988417, 82985052425927, 89491379808579, 96494056957136, 104029791785348, 112138210584938, 120861516846948, 130245244328685, 140337891111050, 151191754420676, 162862538813308, 175410281580446, 188898933994576, 203397387088530, 218979025012819, 235722862047370, 253713067217757, 273040224555797, 293800828304137, 316098679775894, 340044352673301, 365756741316608, 393362495858871, 422997738284629, 454807467633673, 488947461944249, 525583653976090, 564894239252459, 607069023248369, 652311757895744, 700839461782367, 752885009912218, 808696429110925, 868539768545593, 932698373376866, 1001476066561450, 1075196404702579, 1154206204963769, 1238874788218838, 1329597888658394, 1426796890634630, 1530923162609569, 1642457295614664, 1761913907796996, 1889840894209122, 2026824753268143, 2173489859637224, 2330504369539379, 2498579530891910, 2678476230693324, 2871004359349464, 3077030070279808, 3297475218512865, 3533325410381860] The first, 300, terms of all the enumerating sequences of partitions avoiding sets of, 2, patterns each of length, 2, whose entries are from 0 to, 1 For the set of patterns, {[0, 0], [0, 1]}, the first, 300, terms are [1, 2, 2, 4, 4, 6, 9, 11, 13, 18, 23, 30, 35, 44, 54, 69, 84, 101, 121, 147, 175, 213, 256, 303, 356, 424, 497, 587, 690, 812, 948, 1105, 1281, 1491, 1727, 1999, 2309, 2673, 3076, 3533, 4053, 4649, 5318, 6081, 6935, 7914, 9019, 10265, 11648, 13220, 14982, 16961, 19181, 21678, 24455, 27583, 31078, 34995, 39348, 44199, 49598, 55642, 62351, 69810, 78097, 87319, 97532, 108894, 121479, 135415, 150821, 167890, 186744, 207609, 230627, 256041, 284077, 315021, 349076, 386627, 427978, 473483, 523474, 578455, 638840, 705200, 778019, 857924, 945527, 1041603 , 1146804, 1262070, 1388295, 1526454, 1677504, 1842688, 2023176, 2220431, 2435823, 2670972, 2927550, 3207521, 3512710, 3845417, 4207960, 4602886, 5032841 , 5500989, 6010344, 6564388, 7166757, 7821608, 8533189, 9306309, 10145753, 11057123, 12046263, 13119490, 14283371, 15545495, 16913536, 18396113, 20002277, 21741918, 23625294, 25663938, 27869859, 30256418, 32837582, 35628492, 38645054, 41905129, 45427218, 49231472, 53339291, 57774027, 62560189, 67724749, 73295950, 79304569, 85783140, 92766873, 100293070, 108402649, 117138345, 126546370, 136676114, 147580957, 159316984, 171945165, 185529962, 200141063, 215852478, 232743690, 250898804, 270409227, 291371443, 313888778, 338071263, 364037481, 391912766, 421832226, 453939086, 488386923, 525338830, 564969576, 607464524, 653023286, 701857069, 754191508, 810266933, 870340932, 934685890, 1003593869, 1077374978, 1156360238, 1240901123, 1331373454, 1428175856, 1531734851, 1642502462, 1760960581, 1887621582, 2023032521, 2167772444, 2322459575, 2487750455, 2664344381, 2852983151, 3054457302, 3269604953, 3499320009, 3744550335, 4006303805, 4285649975, 4583727608, 4901742768, 5240979780, 5602801222, 5988654515, 6400073773, 6838690869, 7306234871, 7804544054, 8335566242, 8901369154, 9504145049, 10146223311, 10830069395, 11558301366, 12333693965, 13159190526, 14037908164, 14973155721, 15968435364, 17027461745, 18154168359, 19352725509, 20627548941, 21983320488, 23424992007, 24957812436, 26587339111, 28319457890, 30160394567, 32116746044, 34195489971, 36404015650, 38750139209, 41242133406, 43888746811, 46699241718, 49683408255, 52851607110, 56214793798, 59784554825, 63573133599, 67593484149, 71859295660, 76385042922, 81186019787, 86278393443, 91679243457, 97406625713, 103479606130, 109918332612, 116744086854, 123979351230, 131647860147, 139774689113, 148386308112, 157510670058, 167177281205, 177417296501, 188263592802, 199750880365, 211915779051, 224796940566, 238435146010, 252873425537, 268157161537, 284334244593, 301455181003, 319573243679, 338744606558, 359028514685, 380487426539, 403187209259, 427197289192, 452590860525, 479445070722, 507841238499, 537865047584, 569606812473, 603161687800, 638629934739, 676117174225, 715734688335, 757599683014, 801835626000, 848572536863, 897947351254, 950104262007, 1005195108312, 1063379734129, 1124826445313, 1189712404775, 1258224103413, 1330557820318, 1406920149937, 1487528485186, 1572611608627, 1662410232533, 1757177632839, 1857180262628, 1962698439637, 2074027001241, 2191476097109, 2315371913493, 2446057494093] For the set of patterns, {[0, 0], [1, 0]}, the first, 300, terms are [1, 2, 2, 3, 5, 6, 7, 11, 14, 17, 21, 27, 35, 44, 52, 64, 78, 96, 118, 142, 168 , 202, 240, 285, 342, 407, 475, 560, 657, 768, 897, 1047, 1222, 1424, 1645, 1900, 2197, 2535, 2914, 3351, 3849, 4419, 5058, 5776, 6591, 7518, 8553, 9727, 11051, 12537, 14214, 16102, 18203, 20566, 23209, 26162, 29473, 33176, 37287, 41887, 47024, 52750, 59117, 66183, 74024, 82763, 92452, 103186, 115095, 128290, 142873, 159031, 176908, 196670, 218481, 242538, 269071, 298365, 330622, 366139, 405262, 448317, 495635, 547659, 604807, 667621, 736582, 812176, 895053, 985961, 1085533, 1194589, 1313996, 1444645, 1587526, 1743779, 1914520, 2101095, 2304861 , 2527281, 2770001, 3034796, 3323438, 3638085, 3980965, 4354433, 4761076, 5203705, 5685250, 6209123, 6778767, 7397880, 8070651, 8801616, 9595356, 10457043, 11392152, 12406646, 13506995, 14700109, 15993314, 17394806, 18913037, 20557177, 22337315, 24264228, 26349214, 28604794, 31044218, 33681845, 36533000, 39613944, 42942250, 46537314, 50419299, 54609921, 59132701, 64012793, 69277002, 74954412, 81075718, 87674183, 94785405, 102447253, 110700434, 119589092, 129159569, 139461654, 150548936, 162478758, 175312253, 189115051, 203956769, 219912616, 237062741, 255492261, 275292438, 296561471, 319403175, 343928963, 370257878, 398516805, 428841277, 461376377, 496275926, 533704846, 573838747, 616864625, 662982579, 712406542, 765362881, 822093708, 882857184, 947928361, 1017600410, 1092185685, 1172015783, 1257445522, 1348852056, 1446636159, 1551225200, 1663074877, 1782668540, 1910521476, 2047181200, 2193230309, 2349289121, 2516017210, 2694114655, 2884327871, 3087448851, 3304318751, 3535832785, 3782942863, 4046658377, 4328053042, 4628266265, 4948508801, 5290067211, 5654306691, 6042675082, 6456712625, 6898052197, 7368425540, 7869671392, 8403741521, 8972704903, 9578758031, 10224228427, 10911585455, 11643448396, 12422592912, 13251960292, 14134672262, 15074034295, 16073548953, 17136929376, 18268109934, 19471256840, 20750785270, 22111368168, 23557957000, 25095796951, 26730438664, 28467755873, 30313971577, 32275669771, 34359819029, 36573794602, 38925399777, 41422889420, 44074999359, 46890965427, 49880559729, 53054118494, 56422568113, 59997460878, 63791017088, 67816149613, 72086508332, 76616521694, 81421438244, 86517371523, 91921350372, 97651359010, 103726401005, 110166551723, 116993011517, 124228170554, 131895679917, 140020506044, 148629011838, 157749030121, 167409940996, 177642756519, 188480210583, 199956840466, 212109100489, 224975456421, 238596484763, 253014992203, 268276143151, 284427568624, 301519508298, 319604942718, 338739739362, 358982809853, 380396268570, 403045585098, 426999783991, 452331623153, 479117782377, 507439074321, 537380664898, 569032282598, 602488474656, 637848847943, 675218332705, 714707462962, 756432661812, 800516530688, 847088198909, 896283642930, 948246029347, 1003126093493, 1061082534046, 1122282402841, 1186901551596, 1255125061406, 1327147720368, 1403174527953, 1483421202781, 1568114706734, 1657493852975, 1751809883640, 1851327092287, 1956323492747, 2067091511360, 2183938691823, 2307188480384] For the set of patterns, {[0, 0], [1, 1]}, the first, 300, terms are [1, 2, 2, 4, 5, 6, 8, 13, 14, 20, 24, 32, 38, 50, 60, 77, 90, 115, 135, 168, 199, 244, 285, 351, 409, 491, 576, 690, 799, 955, 1105, 1307, 1513, 1779, 2049, 2403, 2761, 3217, 3691, 4286, 4903, 5670, 6474, 7463, 8499, 9763, 11102, 12712, 14424, 16476, 18652, 21249, 24024, 27286, 30794, 34915, 39320, 44477, 50030, 56460, 63402, 71430, 80075, 90045, 100819, 113145, 126501, 141760, 158253, 177047, 197415, 220504, 245550, 273886, 304604, 339275, 376894, 419208, 465150, 516723, 572696, 635389, 703463, 779538, 862141, 954261, 1054307, 1165668, 1286579, 1420948, 1566832, 1728651, 1904356, 2098916, 2310111, 2543688, 2797151 , 3077006, 3380737, 3715598, 4078852, 4478931, 4912800, 5389959, 5907414, 6475759, 7091833, 7767900, 8500447, 9303317, 10173204, 11125535, 12156872, 13285021, 14506315, 15840812, 17285209, 18861943, 20567808, 22428538, 24440857, 26633805, 29004835, 31586472, 34376584, 37412312, 40691965, 44257430, 48108175, 52291298, 56807386, 61709923, 67000687, 72740049, 78931839, 85644031, 92882598, 100724484, 109178277, 118330800, 128193944, 138865674, 150361875, 162793053, 176179798, 190646849, 206220351, 223041114, 241141958, 260681478, 281700667, 304378431, 328764644, 355061395, 383329653, 413796640, 446536536, 481805646, 519692490, 560486472, 604293639, 651439217, 702050303, 756493465, 814918260, 877738464, 945131157, 1017561032, 1095237521, 1178684192, 1268145554, 1364212065, 1467170260, 1577683174, 1696086738, 1823127365, 1959194563, 2105129485, 2261385393, 2428906562, 2608220119, 2800388457, 3006020031, 3226310780, 3461964245, 3714322875, 3984200063, 4273104912, 4581972233, 4912499317, 5265761950, 5643664747, 6047444770, 6479241580, 6940472288, 7433540719, 7960070529, 8522758455, 9123463761, 9765213335, 10450130126, 11181611810, 11962082321, 12795351513, 13684184429, 14632854148, 15644509450, 16723942183, 17874735789, 19102260862, 20410592421, 21805749017, 23292358928, 24877165496, 26565421663, 28364680342, 30280897915, 32322531986, 34496332024, 36811765613, 39276473596, 41901053203, 44694147514, 47667613179, 50831222018, 54198235469, 57779691516, 61590422591, 65642886238, 69953664427, 74536813156, 79410863156, 84591658539, 90099909219, 95953461714, 102175449385, 108785969286, 115810852420, 123272710366, 131200387800, 139619306579, 148561660615, 158056026602, 168138322735, 178840644460, 190203067145, 202261614907, 215060979064, 228641584925, 243053253604, 258341315135, 274561309117, 291764033424, 310011374077, 329360245232, 349879579795, 371633099311, 394697583488, 419144335870, 445058838629, 472520859873, 501625538916, 532462057982, 565136295072, 599747904618, 636414668759, 675247915465, 716378626583, 759931099581, 806050977338, 854876971826, 906570967668, 961287717342, 1019207103448, 1080501686675, 1145371315039, 1214008319632, 1286634654967, 1363464622507, 1444744655057, 1530713422471, 1621644482378, 1717803534547, 1819494150545, 1927012024163, 2040693938886, 2160868830824, 2287910245575, 2422183954699, 2564104157462, 2714077451518, 2872562987348, 3040012568866, 3216935054971, 3403832299075, 3601268092717, 3809799693113, 4030051589316, 4262642337756, 4508263484211] For the set of patterns, {[0, 1], [1, 0]}, the first, 300, terms are [1, 2, 3, 4, 5, 9, 10, 15, 19, 27, 32, 45, 53, 71, 88, 113, 135, 176, 208, 264, 318, 394, 468, 582, 685, 840, 994, 1206, 1413, 1715, 2001, 2399, 2808, 3341, 3887, 4623, 5353, 6319, 7325, 8599, 9924, 11631, 13381, 15599, 17946, 20831, 23882, 27677, 31645, 36533, 41743, 48023, 54726, 62857, 71480, 81838, 92973, 106165, 120338, 137206, 155232, 176525, 199523, 226385, 255393, 289369, 325899, 368464, 414555, 467816, 525484, 592187, 664222, 747180, 837224, 940255, 1052045 , 1180059, 1318643, 1476789, 1648607, 1843666, 2055573, 2296149, 2557070, 2852453, 3173586, 3535701, 3929285, 4373013, 4854664, 5396321, 5985351, 6645631 , 7363444, 8167792, 9041210, 10017961, 11079923, 12264367, 13551725, 14986846, 16545235, 18279432, 20164246, 22257060, 24530815, 27054177, 29793450, 32828899, 36125939, 39772616, 43732241, 48109239, 52858500, 58101444, 63792247, 70064771, 76870648, 84367883, 92497374, 101442302, 111143498, 121803218, 133360110, 146051478, 159802931, 174888959, 191236151, 209148724, 228551822, 249800603, 272805436, 297975552, 325225166, 355008752, 387241316, 422451843, 460538833, 502110472, 547074197, 596106620, 649121315, 706902259, 769347382, 837355928, 910843773, 990813548, 1077196144, 1171149983, 1272594174, 1382854617, 1501884617, 1631163936, 1770677871, 1922130533, 2085506247, 2262752651, 2453913652, 2661166235, 2884614156, 3126757676, 3387722209, 3670359137, 3974896778, 4304525293, 4659578985, 5043714016, 5457325639, 5904577741, 6386036467, 6906363397, 7466307180, 8071197129, 8721912726, 9424514501, 10180159481, 10995638866, 11872409899, 12818221396, 13834776719, 14930875364, 16108665722, 17378011331, 18741547048, 20210506166, 21787955256, 23486635701, 25310313201, 27273276261, 29380061198, 31646913010, 34079093960, 36695005840, 39500998637, 42517711601, 45752699310, 49229392161, 52956522050, 56960601556, 61252031980, 65860552517, 70798423846, 76099354007, 81777474891, 87870886411, 94396257612, 101396327750, 108890597071, 116927444371, 125529283356, 134750737923, 144618046787, 155192475546, 166504537897, 178623491661, 191584320861, 205465148724, 220306668266, 236196488699, 253181694701, 271361202446, 290788871559, 311576165594, 333785411536, 357541573552, 382916460354, 410051003152, 439027157048, 470003583199, 503074699705, 538418325936, 576142848945, 616448578987, 659458964838, 705399306191, 754411281080, 806747304331, 862569481244, 922161850321, 985708682439, 1053529160055, 1125834064881, 1202980831230, 1285209942883, 1372923197106, 1466393454640, 1566071832420, 1672269515100, 1785491450344, 1906091750016, 2034637463705, 2171529687052, 2317404507033, 2472718150312, 2638182236252, 2814314708101, 3001913941506, 3201565615125, 3414164543680, 3640375310946, 3881198439329, 4137386807564, 4410061845096, 4700073557512, 5008677769990, 5336836899801, 5685954333096, 6057118187877, 6451900007554, 6871526434881, 7317755880059, 7791974447802, 8296145977337, 8831834757629, 9401237967463, 10006116506917, 10648926810892, 11331655004990, 12057042822276, 12827327892971, 13645575028798, 14514299666487, 15436925449359, 16416284705497, 17456196297989, 18559846132864, 19731499443498, 20974732950150, 22294307466548, 23694243866793, 25179849123531, 26755639330462, 28427536779534, 30200605182283, 32081449716882, 34075754385539, 36190877326533, 38433193582217, 40810907700111] For the set of patterns, {[0, 1], [1, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 9, 12, 17, 22, 31, 38, 52, 65, 85, 105, 137, 167, 212, 260, 326 , 395, 492, 591, 729, 876, 1067, 1272, 1545, 1834, 2206, 2613, 3125, 3682, 4385 , 5148, 6094, 7138, 8412, 9811, 11524, 13404, 15670, 18180, 21188, 24504, 28467 , 32842, 38021, 43774, 50536, 58019, 66816, 76558, 87910, 100519, 115170, 131397, 150207, 171061, 195094, 221781, 252447, 286417, 325395, 368600, 417929, 472630, 534979, 604010, 682517, 769455, 867993, 977127, 1100604, 1237153, 1391386, 1561969, 1754083, 1966497, 2205410, 2469258, 2765502, 3092631, 3459127 , 3863651, 4316273, 4815334, 5372912, 5987609, 6673076, 7428293, 8269575, 9195676, 10225880, 11359567, 12618779, 14003660, 15540321, 17228980, 19100425, 21156290, 23431657, 25929612, 28691826, 31722154, 35069269, 38739693, 42789330, 47227424, 52119866, 57478050, 63378870, 69838695, 76945689, 84721100, 93268847, 102614955, 112880041, 124098706, 136409749, 149856631, 164602097, 180698760, 198335366, 217579412, 238647932, 261623533, 286760441, 314158269, 344110655, 376741971, 412390558, 451206812, 493585324, 539705992, 590024430, 644761559, 704441956, 769329608, 840035230, 916873396, 1000547496, 1091438441, 1190356475, 1297753816, 1414570753, 1541342862, 1679152497, 1828642083, 1991057129, 2167154991, 2358378426, 2565621377, 2790541577, 3034201514, 3298508519, 3584710013, 3895009587, 4230872419, 4594828426, 4988608473, 5415119947, 5876385427, 6375757873, 6915605046, 7499771158, 8131036125, 8813814610, 9551344653, 10348706345, 11209675517, 12140071080, 13144306824, 14229056649, 15399443033, 16663132970, 18026082395, 19497062739, 21083004474, 22793957400, 24637944125, 26626488234, 28768887239, 31078311098, 33565541785, 36245648985, 39131077676, 42239080544, 45584042589, 49185658023, 53060550792, 57231229163, 61716838194, 66543104250, 71732095221, 77313146214, 83311689468, 89761208183, 96690920381, 104139039426, 112139166424, 120734824701, 129964630575, 139878198853, 150519805378, 161945990251, 174207548837, 187368806317, 201488004032, 216638374473, 232886554959, 250315883962, 269002653783, 289041568056, 310519900588, 333545332367, 358217537630, 384658890360, 412983266662, 443329571809, 475827812519, 510635728198, 547901523879, 587804226499, 630512843560, 676230355259, 725149328631, 777499978687, 833501464056, 893414735620, 957489249953, 1026020538490, 1099292332603, 1177639404919, 1261384130289, 1350905505437, 1446569857350, 1548805927340, 1658029654538, 1774726121965, 1899367199376, 2032501390498, 2174664011327, 2326474868604, 2488540819499, 2661562292620, 2846226709147, 3043325142102, 3253636248399, 3478052961795, 3717456642755, 3972855200335, 4245245598040, 4535764883562, 4845540649403, 5175854959526, 5527982312881, 5903368219523, 6303452348672, 6729863591787, 7184227975345, 7668380189719, 8184155549159, 8733620337806, 9318845014781, 9942155472707, 10605886991348, 11312656571443, 12065096622097, 12866151302931, 13718786495103, 14626312732206, 15592070935647, 16619782163149, 17713207628751, 18876529117062, 20113979157648, 21430255059612, 22830118588286, 24318844189677, 25901786191588, 27584865983971, 29374101689182, 31276137912835, 33297737208871, 35446353196387, 37729581049906, 40155780132988, 42733477514427, 45472044274555, 48381051159825, 51470999973194, 54752627772166, 58237700899833, 61938260445269, 65867484003385, 70038871447736, 74467176346174, 79167527172109, 84156438001437] For the set of patterns, {[1, 0], [1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 8, 11, 16, 20, 27, 36, 46, 58, 76, 95, 120, 150, 187, 231, 288, 350, 430, 525, 637, 770, 933, 1117, 1345, 1606, 1917, 2282, 2713, 3205, 3797, 4476, 5269, 6187, 7264, 8490, 9932, 11577, 13485, 15678, 18209, 21086, 24433, 28225, 32584, 37559, 43257, 49712, 57123, 65498, 75062, 85902, 98222, 112128, 127975, 145803, 166024, 188825, 214597, 243579, 276354, 313105, 354572, 401103, 453428, 512042, 577980, 651659, 734348, 826794, 930306, 1045833, 1175149, 1319194, 1480203, 1659526, 1859491, 2081983, 2330001, 2605423, 2912074, 3252510 , 3630853, 4050474, 4516519, 5032650, 5605325, 6239194, 6941371, 7718007, 8577786, 9527416, 10577782, 11737271, 13018062, 14430872, 15990323, 17708595, 19603789, 21690592, 23989576, 26519409, 29304474, 32366017, 35734054, 39434139, 43500512, 47964941, 52867855, 58245973, 64148506, 70618856, 77713719, 85486678, 94004100, 103328004, 113538613, 124709144, 136932236, 150296882, 164911288, 180879126, 198330131, 217385564, 238195876, 260907644, 285695595, 312730367, 342220409, 374365060, 409406059, 447581637, 489172485, 534456669, 583766359, 637424980, 695818395, 759331092, 828409610, 903501782, 985134137, 1073826718, 1170190311, 1274838886, 1388478696, 1511824897, 1645705325, 1790948170, 1948513975, 2119375814, 2304641939, 2505443213, 2723074414, 2958843571, 3214249879, 3490822601, 3790290002, 4114427153, 4465244648, 4844790879, 5255392174, 5699434565, 6179594521, 6698635696, 7259663113, 7865861570, 8520815931, 9228222095, 9992201073, 10817025795, 11707460981, 12668421848, 13705402527, 14824089928, 16030788575, 17332059806, 18735175603, 20247672474, 21877918806, 23634608305, 25527333825, 27566106535, 29761961405, 32126379229, 34672039037, 37412151802, 40361228340, 43534450923, 46948478676, 50620696541, 54570208246, 58816970804, 63382822780, 68290656455, 73565486377, 79233486545, 85323297631, 91864901614, 98890990234, 106435890783, 114536982813, 123233456975 , 132568033179, 142585514678, 153334604012, 164866505780, 177236799235, 190503859430, 204731108548, 219985156488, 236338204359, 253866247432, 272651549190, 292780624301, 314347185456, 337449780833, 362194962180, 388694975152, 417071018178, 447450696293, 479971872349, 514779659366, 552030593504, 591889695878, 634534757764, 680153124162, 728946717879, 781128258735, 836926738508, 896583683002, 960358787143, 1028525889338, 1101379516784, 1179230134198, 1262411317255, 1351275054965, 1446199135576, 1547582114790, 1655851840361, 1771459539749, 1894889199919, 2026651665970, 2167294323769, 2317394874203, 2477572412138, 2648480092834, 2830817378510, 3025322713589, 3232786187414, 3454041842539, 3689982084951, 3941548676452, 4209748692387, 4495645454236, 4800375087811, 5125137132155, 5471213241938, 5839956171814, 6232810563269, 6651301846804, 7097057854609, 7571797394363, 8077354543600, 8615665328952, 9188794742449, 9798923240039, 10448374947597, 11139603933071, 11875225720397, 12658001274395, 13490872127793, 14376944156115, 15319524330049, 16322104338040, 17388401484686, 18522339708571, 19728095164357, 21010076892112, 22372974719435, 23821740010002, 25361638698376, 26998228990414, 28737420543815, 30585451807036, 32548952344211, 34634920486272, 36850792145809, 39204415084752, 41704125645834, 44358722530811, 47177547945314, 50170462181574, 53347932832555, 56721005579790, 60301403721688, 64101498523577, 68134414716203] The first, 300, terms of all the enumerating sequences of partitions avoiding sets of, 3, patterns each of length, 2, whose entries are from 0 to, 1 For the set of patterns, {[0, 0], [0, 1], [1, 0]}, the first, 300, terms are [1, 2, 2, 3, 4, 6, 7, 10, 12, 16, 19, 25, 30, 38, 46, 57, 68, 84, 99, 121, 143, 172, 202, 242, 283, 336, 392, 462, 537, 630, 729, 851, 982, 1140, 1312, 1518, 1741, 2006, 2295, 2635, 3007, 3442, 3917, 4470, 5077, 5776, 6545, 7429, 8399, 9510, 10731, 12121, 13651, 15388, 17297, 19458, 21835, 24514, 27461, 30777, 34420, 38508, 43001, 48027, 53551, 59718, 66488, 74033, 82315, 91522, 101624, 112838, 125130, 138752, 153680, 170191, 188276, 208252, 230112, 254227, 280604, 309654, 341412, 376349, 414512, 456444, 502224, 552460, 607274, 667362, 732875, 804618, 882796, 968310, 1061441, 1163219, 1273983, 1394920, 1526461, 1669945, 1825919, 1995912, 2180581, 2381685, 2600031, 2837602, 3095395, 3375679, 3679632 , 4009858, 4367776, 4756335, 5177248, 5633880, 6128248, 6664207, 7244154, 7872456, 8551968, 9287677, 10082913, 10943380, 11873002, 12878247, 13963740, 15136850, 16402953, 17770471, 19245681, 20838136, 22555173, 24407675, 26404130, 28556946, 30875985, 33375319, 36066400, 38965238, 42085032, 45444019, 49057444, 52945980, 57127246, 61624736, 66458685, 71655802, 77239371, 83239659, 89683445, 96605080, 104035226, 112012889, 120573215, 129760358, 139614600, 150185989, 161520516, 173674920, 186701752, 200665192, 215625255, 231654590, 248821551, 267208383, 286892963, 307968206, 330522807, 354661811, 380485984, 408114070, 437660576, 469259517, 503040958, 539156190, 577752671, 619001179, 663068881, 710148284, 760428821, 814127542, 871458752, 932667108, 997995048, 1067718031, 1142110186, 1221481654, 1306141981, 1396440289, 1492726041, 1595391826, 1704832000, 1821488020, 1945804378, 2078277326, 2219407760, 2369753038, 2529877347, 2700406596, 2881975624, 3075287123, 3281055216, 3500068154, 3733128912, 3981121570, 4244948197, 4525600014, 4824090111, 5141529074, 5479054160, 5837909408, 6219370469, 6624830416, 7055719666, 7513597162, 8000066193, 8516870901, 9065807052, 9648825320, 10267936390, 10925320668, 11623228521, 12364096458, 13150441526, 13984985500, 14870542724, 15810151982, 16806958765, 17864354850, 18985853776, 20175240000, 21436436830, 22773664776, 24191302968, 25694056794, 27286811576, 28974811514, 30763504726, 32658733194, 34666570351, 36793522160, 39046355764, 41432314100, 43958934712, 46634277482, 49466734911, 52465273206, 55639232504, 58998583974, 62553718843, 66315721276, 70296147712, 74507315798, 78962072271, 83674101008, 88657678383, 93928000103, 99500925664, 105393324486, 111622807568, 118208096395, 125168740480, 132525508908, 140300095729, 148515534644, 157195890148, 166366699390, 176054647795, 186288037988, 197096451936, 208511247824, 220565206520, 233293060937, 246731125366, 260917857414, 275893472747, 291700540590, 308383581437, 325989701452, 344568171689, 364171101660, 384853002789, 406671502626, 429686890094, 453962876286, 479566119975, 506567035616, 535039302458, 565060721541, 596712705636, 630081192344, 665256113435, 702332364951, 741409259692, 782591556706, 825988894344, 871716887140, 919896537969, 970655403904, 1024126991944, 1080451996869] For the set of patterns, {[0, 0], [0, 1], [1, 1]}, the first, 300, terms are [1, 2, 2, 4, 4, 5, 8, 11, 12, 17, 20, 27, 32, 40, 48, 60, 73, 89, 105, 129, 151 , 182, 216, 260, 300, 359, 419, 491, 574, 673, 779, 912, 1051, 1219, 1406, 1627 , 1864, 2151, 2464, 2829, 3229, 3699, 4207, 4807, 5461, 6212, 7043, 7999, 9050, 10245, 11567, 13072, 14719, 16605, 18672, 21004, 23583, 26484, 29677, 33278, 37226, 41652, 46533, 51994, 57975, 64682, 72042, 80223, 89236, 99252, 110227, 122432, 135813, 150626, 166888, 184877, 204557, 226331, 250174, 276440, 305213, 336909, 371548, 409686, 451353, 497119, 547127, 602022, 661908, 727577, 799225, 877660, 963163, 1056748, 1158653, 1270055, 1391359, 1523772, 1667859, 1825086, 1996014, 2182327, 2384840, 2605375, 2844845, 3105534, 3388447, 3696046, 4029811 , 4392432, 4785551, 5212456, 5674997, 6176824, 6720360, 7309701, 7947479, 8638677, 9386390, 10195948, 11071384, 12018751, 13042393, 14149655, 15345556, 16638110, 18033601, 19541080, 21167544, 22923711, 24817742, 26861359, 29064440, 31440503, 34000401, 36759990, 39731953, 42933698, 46380463, 50092092, 54085573, 58383990, 63007065, 67980350, 73326986, 79076398, 85254354, 91894652, 99027370, 106690014, 114917501, 123752823, 133235097, 143413528, 154333416, 166049684, 178614284, 192090196, 206535984, 222023000, 238618885, 256403559, 275454170, 295862139, 317714360, 341114277, 366161771, 392972858, 421660985, 452358435, 485193335, 520314596, 557868990, 598024128, 640945651, 686824318, 735847204, 788228657, 844182363, 903949177, 967770076, 1035918421, 1108666119, 1186319978, 1269189231, 1357619158, 1451957362, 1552594684, 1659923373, 1774381236, 1896413320, 2026511731, 2165176056, 2312962316, 2470433335, 2638211559, 2816933382, 3007298362, 3210019982, 3425886260, 3655700717, 3900344465, 4160723698, 4437827873, 4732671518, 5046367542, 5380056370, 5734981474, 6112426259, 6513785381, 6940494704, 7394119046, 7876270683, 8388697124, 8933208080, 9511761930, 10126380985, 10779259009, 11472663631, 12209042145, 12990935974, 13821083907, 14702323460, 15637717516, 16630442791, 17683914952, 18801686794, 19987576200, 21245546824, 22579861394, 23994952008, 25495567573, 27086657432, 28773523659, 30561682137, 32457045102, 34465771129, 36594442373, 38849925918, 41239560744, 43770993994, 46452397986, 49292300114, 52299790797, 55484365021, 58856147940, 62425702056, 66204288600, 70203671103, 74436365078, 78915453419, 83654858289, 88669120775, 93973708143, 99584793707, 105519553722, 111795953305, 118433078555, 125450877937, 132870531857, 140714203612, 149005392137, 157768689240, 167030177496, 176817138019, 187158487932, 198084500440, 209627230509, 221820233886, 234699051490, 248300875125, 262665067968, 277832856872, 293847838135, 310755662763, 328604619254, 347445257144, 367331010104, 388317852136, 410464910102, 433834108056, 458490869800, 484503702377, 511944935075, 540890349291, 571419913281, 603617384751, 637571164409, 673373831241, 711123031345, 750921075963, 792875827918, 837100270183, 883713528416, 932840372991, 984612279998, 1039167004168, 1096649656996, 1157212231531, 1221014845733] For the set of patterns, {[0, 0], [1, 0], [1, 1]}, the first, 300, terms are [1, 2, 2, 3, 5, 5, 7, 11, 12, 16, 20, 25, 32, 39, 47, 58, 70, 86, 104, 124, 147 , 178, 208, 249, 297, 345, 406, 480, 555, 651, 759, 879, 1023, 1184, 1362, 1576 , 1813, 2082, 2389, 2742, 3132, 3583, 4087, 4653, 5298, 6022, 6828, 7753, 8771, 9925, 11223, 12659, 14276, 16091, 18095, 20354, 22867, 25655, 28764, 32243, 36075, 40361, 45108, 50355, 56197, 62671, 69797, 77735, 86479, 96131, 106815, 118612, 131582, 145925, 161708, 179067, 198205, 219259, 242344, 267796, 295702, 326319, 359957, 396830, 437212, 481545, 530004, 583084, 641190, 704713, 774135, 850085, 932948, 1023462, 1122284, 1230066, 1347581, 1475804, 1615390, 1767530, 1933212, 2113492, 2309691, 2523182, 2755167, 3007472, 3281584, 3579291, 3902605 , 4253645, 4634386, 5047610, 5495703, 5981400, 6507869, 7078372, 7696035, 8365135, 9089306, 9872904, 10720795, 11637839, 12629131, 13701012, 14859133, 16110261, 17461680, 18920942, 20495878, 22195961, 24029947, 26008103, 28141519, 30441476, 32920127, 35591568, 38469088, 41568363, 44905802, 48498555, 52365085, 56526115, 61001998, 65816076, 70992864, 76558044, 82539246, 88967279, 95872545, 103289840, 111255429, 119807515, 128987500, 138840296, 149411490, 160752497, 172916501, 185960327, 199944924, 214936113, 231001472, 248216257, 266658650, 286411982, 307565802, 330216049, 354461957, 380413534, 408184558, 437896897, 469681232, 503676522, 540028114, 578895190, 620442945, 664848705, 712301579, 763002570, 817162553, 875011198, 936787301, 1002746772, 1073162515, 1148323482, 1228534195, 1314124360, 1405437030, 1502840504, 1606725821, 1717506894, 1835621161, 1961539267, 2095752711, 2238787771, 2391202602, 2553587877, 2726567933, 2910812640, 3107021923, 3315944892, 3538374908, 3775150273, 4027158795, 4295349080, 4580714028, 4884315067, 5207274059, 5550777301, 5916080505, 6304521469, 6717503276, 7156522581, 7623160264, 8119087167, 8646071762, 9205994283, 9800827914, 10432675289, 11103754549, 11816409874, 12573122223, 13376522732, 14229376544, 15134625025, 16095368859, 17114884885, 18196637950, 19344298454, 20561725358, 21853017490, 23222493930, 24674716806, 26214508572, 27846969437, 29577464852, 31411687022, 33355628789, 35415620441, 37598347886, 39910874411, 42360634039, 44955501255, 47703765187, 50614177368, 53695974473, 56958907084, 60413236713, 64069822308, 67940089204, 72036094907, 76370558675, 80956894126, 85809220566, 90942461499, 96372313475, 102115336578, 108188985293, 114611656660, 121402712608, 128582597675, 136172810616, 144196018919, 152676102843, 161638215010, 171108822705, 181115849400, 191688646809, 202858150607, 214656930402, 227119271681, 240281245866, 254180874042, 268858113975, 284355056577, 300715990667, 317987517432, 336218647737, 355461005142, 375768826418, 397199213851, 419812222468, 443671008696, 468841976613, 495395020337, 523403550252, 552944818602, 584100027049, 616954537042, 651598066420, 688124985217, 726634387377, 767230495388, 810022811082, 855126395259, 902662134826, 952757113628, 1005544733178, 1061165232345, 1119765885731, 1181501379900] For the set of patterns, {[0, 1], [1, 0], [1, 1]}, the first, 300, terms are [1, 2, 3, 4, 5, 8, 10, 15, 18, 26, 31, 43, 51, 68, 83, 107, 128, 166, 197, 250, 297, 371, 439, 544, 641, 785, 924, 1122, 1313, 1588, 1852, 2221, 2588, 3082, 3579, 4247, 4914, 5800, 6700, 7869, 9063, 10608, 12191, 14204, 16297, 18918, 21652, 25065, 28621, 33025, 37651, 43310, 49276, 56543, 64214, 73484, 83322, 95117, 107656, 122640, 138574, 157501, 177722, 201565, 227083, 257081, 289194, 326771, 367102, 414060, 464512, 523080, 586036, 658827, 737235, 827505, 924804, 1036570, 1157044, 1294995, 1443888, 1613797, 1797294, 2006207, 2231861, 2488081 , 2765079, 3078722, 3417877, 3801186, 4215675, 4683034, 5188735, 5757573, 6373195, 7064481, 7812556, 8650979, 9558575, 10573755, 11672726, 12900103, 14228657, 15709886, 17313553, 19098445, 21030763, 23178566, 25503333, 28083596, 30876631, 33971971, 37322220, 41030549, 45043505, 49479592, 54279921, 59579561, 65313368, 71636701, 78476491, 86010858, 94159845, 103125957, 112821604, 123478969, 135000582, 147652111, 161327457, 176328679, 192540189, 210307510, 229503301, 250521899, 273226136, 298063557, 324886233, 354205280, 385859027, 420430056, 457745893, 498467225, 542410385, 590327979, 642022320, 698349594, 759102046, 825249797, 896574938, 974181312, 1057838118, 1148799204, 1246827565, 1353342180, 1468101151, 1592715965, 1726937626, 1872594512, 2029439714, 2199541166, 2382657803, 2581135089, 2794737854, 3026123036, 3275076013, 3544598857, 3834504468, 4148193581, 4485509505, 4850301153, 5242464178, 5666343955, 6121902851, 6614056678, 7142843711, 7713820565, 8327134120, 8989053526, 9699857545, 10466631359, 11289805233, 12177380242, 13129988406, 14156648459, 15258234274, 16444927109, 17717877469, 19088571919, 20558511678, 22140636526, 23836862644, 25661783453, 27617792152, 29721336886, 31975399096, 34398492866, 36994288394, 39783647411, 42771028265, 45979925122, 49415749963, 53104929852, 57053987690, 61292672825, 65828779542, 70695781660, 75902986978, 81488022125, 87461946180, 93867082745, 100716491243, 108057755322, 115906293472 , 124315553655, 133303672433, 142930717641, 153217923414, 164232771300, 176000112686, 188595695991, 202048525256, 216443663846, 231814842660, 248257546361, 265810990387, 284582281303, 304616905590, 326035047784, 348889316308, 373314522159, 399371489458, 427211334437, 456904252555, 488619678933, 522438434700, 558550429797, 597048681478, 638145926556, 681949049950, 728696401835, 778510565902, 831658500486, 888280739043, 948676118393, 1013005536899, 1081603559807, 1154654095196, 1232531593818, 1315446174638, 1403816724231, 1497883032208, 1598113723069, 1704782065822, 1818412169917, 1939315325704, 2068077432579, 2205052729148, 2350896212473, 2506010498153, 2671127617530, 2846704978462, 3033560360186, 3232212953215, 3443576315286, 3668239133411, 3907221679588, 4161191151376, 4431286557564, 4718263459427, 5023393370083, 5347531105051, 5692095703706, 6058053875693, 6446988717921, 6859992674043, 7298831746716, 7764739411735, 8259685195007, 8785061230427, 9343063258470, 9935261424962, 10564103440744, 11231358871990, 11939755599989, 12691287133224, 13488992596786, 14335116380905, 15233044000140, 16185300533305, 17195656409557, 18266951376930, 19403383213622, 20608143727951, 21885905890822, 23240254928468, 24676391502649, 26198341185198, 27811890189801, 29521556095780, 31333775698015] The first, 300, terms of all the enumerating sequences of partitions avoiding sets of, 1, patterns each of length, 3, whose entries are from 0 to, 1 For the set of patterns, {[0, 0, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 12, 16, 22, 29, 38, 50, 64, 82, 105, 132, 166, 208, 258, 320 , 395, 484, 592, 722, 876, 1060, 1280, 1539, 1846, 2210, 2636, 3138, 3728, 4416 , 5222, 6163, 7256, 8528, 10006, 11716, 13696, 15986, 18624, 21666, 25169, 29190, 33808, 39104, 45164, 52098, 60022, 69060, 79366, 91106, 104457, 119634, 136870, 156416, 178572, 203664, 232044, 264128, 300368, 341256, 387366, 439321, 497804, 563600, 637568, 720648, 813910, 918530, 1035792, 1167154, 1314214, 1478720, 1662646, 1868153, 2097612, 2353682, 2639276, 2957590, 3312192, 3706994 , 4146284, 4634832, 5177868, 5781120, 6450944, 7194304, 8018821, 8932932, 9945872, 11067748, 12309718, 13683986, 15203904, 16884176, 18740880, 20791590, 23055622, 25554084, 28310028, 31348754, 34697883, 38387556, 42450806, 46923664, 51845426, 57259090, 63211520, 69753792, 76941712, 84836068, 93503052, 103014898 , 113450230, 124894592, 137441238, 151191585, 166255896, 182754242, 200817104, 220586244, 242215872, 265873442, 291740754, 320015378, 350911702, 384662308, 421519718, 461757760, 505673280, 553588304, 605851776, 662841705, 724967830, 792673824, 866440000, 946786564, 1034276422, 1129518564, 1233172048, 1345949570 , 1468621656, 1602021568, 1747049804, 1904679296, 2075961462, 2262031826, 2464116480, 2683539522, 2921730075, 3180230310, 3460704556, 3764948066, 4094896940, 4452639296, 4840426188, 5260683840, 5716027350, 6209274242, 6743459536, 7321852560, 7947973702, 8625612964, 9358850560, 10152077584, 11010018840, 11937758018, 12940763171, 14024914746, 15196536336, 16462426048, 17829890828, 19306784018, 20901543888, 22623235620, 24481597158, 26487086404, 28650932544, 30985191936, 33502805840, 36217663108, 39144668182, 42299811650, 45700246668, 49364371648, 53311916364, 57564034955, 62143406412, 67074339472, 72382885696, 78096961458, 84246475520, 90863466372, 97982250156, 105639575632, 113874790808, 122730022082, 132250362262, 142484072484, 153482798944, 165301800768, 178000194348, 191641215332, 206292494422, 222026352720, 238920118144, 257056458763, 276523739468, 297416403698, 319835375872, 343888491684, 369690958086, 397365838656, 427044572114, 458867526096, 492984581926, 529555758724, 568751879504, 610755274898, 655760533632, 703975302980, 755621134678, 810934386504, 870167183232, 933588432450, 1001484906624, 1074162395584, 1151946925193, 1235186054724, 1324250257808, 1419534383042, 1521459207972, 1630473092322, 1747053726848, 1871709992960, 2004983940166, 2147452877988, 2299731599340, 2462474743632, 2636379296720, 2822187246848, 3020688406032, 3232723394980, 3459186812876, 3701030603024, 3959267613670, 4234975377600, 4529300123702, 4843461020978, 5178754681431, 5536559937508, 5918342895888, 6325662297604, 6760175202770, 7223643003584, 7717937799564, 8245049156210, 8807091253366, 9406310461494, 10045093370704, 10725975281858, 11451649202752, 12224975378738, 13048991370550, 13926922728000, 14862194294150, 15858442156706, 16919526302114, 18049544012864, 19252844029632, 20534041541640, 21898034052352, 23350018148401, 24895507243884, 26540350355058, 28290751940800, 30153292890760, 32134952725968, 34243133055696, 36485682384064, 38870922342434, 41407675401142, 44105294167872, 46973692361430, 50023377526288, 53265485611074, 56711817514340, 60374877677388, 64267914865224, 68404965256256, 72800897937360, 77471462965836, 82433342139456, 87704202590566, 93302753389712, 99248805323814, 105563333987345] For the set of patterns, {[0, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 21, 28, 39, 50, 69, 88, 117, 148, 194, 243, 313, 388, 493, 609, 764, 936, 1164, 1418, 1747, 2116, 2586, 3117, 3787, 4539, 5478, 6542, 7851, 9332, 11145, 13198, 15687, 18508, 21903, 25755, 30363, 35582, 41790, 48832, 57156, 66586, 77688, 90262, 104995, 121671, 141126, 163138, 188729, 217645, 251145, 288984, 332672, 381964, 438716, 502690, 576138, 658858, 753566, 860142, 981877, 1118711, 1274638, 1449770, 1648897, 1872313, 2125826, 2409995, 2731821, 3092221, 3499595, 3955383, 4469708, 5044578, 5692174, 6415381, 7228776 , 8136276, 9155402, 10291414, 11565317, 12984058, 14572749, 16340532, 18317494, 20515355, 22970100, 25696867, 28738597, 32114523, 35875931, 40047163, 44689428, 49833322, 55551716, 61882997, 68914025, 76692451, 85321648, 94860886, 105433016 , 117111209, 130041483, 144313935, 160102000, 177516210, 196762207, 217975355, 241399586, 267199818, 295665017, 326996025, 361534885, 399525270, 441371812, 487369524, 537996852, 593610164, 654774353, 721919206, 795711723, 876668646, 965576624, 1063056417, 1170035173, 1287256765, 1415813171, 1556594371, 1710885783, 1879750407, 2064699614, 2267001299, 2488432050, 2730501117, 2995294808, 3284607813, 3600888596, 3946267700, 4323616493, 4735460792, 5185166003, 5675722661, 6211071436, 6794748784, 7431367037, 8125102167, 8881347972, 9705030664, 10602454017, 11579421851, 12643296116, 13800906727, 15060846491, 16431144217, 17921821013, 19542305096, 21304277405, 23218796944, 25299468949, 27559253309, 30013986839, 32678841352, 35572238767, 38711922881, 42119310102, 45815133206, 49824271594, 54170928271, 58883989945, 63991684241, 69527527337, 75524413137, 82021206064, 89056204213, 96674444874, 104920479945, 113846469862, 123504200038, 133954040630, 145256136248, 157480320537, 170696390443, 184985075404, 200427312555, 217116373425, 235146041973, 254624015837, 275658882696, 298374927818, 322897789740, 349370809085, 377939247522, 408768333540, 442025898041, 477902287887, 516591277026, 558312028804, 603288119126, 651771748545, 704020703819, 760325046949, 820981819133, 886324440271, 956694960931, 1032476440520, 1114062509141, 1201893015933, 1296420666795, 1398150256109, 1507602113575, 1625355262634, 1752007392608, 1888222331922, 2034686228294, 2192159737516, 2361430092561, 2543368466314, 2738877549061, 2948954579132, 3174634049031, 3417056940246, 3677408130971, 3956992418355, 4257166172006, 4579420801356, 4925308151513, 5296532098947, 5694867176850, 6122259075726, 6580735901107, 7072518413090, 7599923312286, 8165484129574, 8771845869971, 9421897537756, 10118657421611, 10865418363833, 11665622903382, 12523022446083, 13441541460461, 14425451858164, 15479225323079, 16607724304852, 17816041542483, 19109709209398, 20494524601500, 21976779092595, 23563068886645, 25260545642370, 27076711097398, 29019691313999, 31098013944118, 33320908292188, 35698063836136, 38239958462601, 40957596822292, 43862869322160, 46968268773242, 50287282925099, 53834087759891, 57623976676581, 61673028666705, 65998577431375, 70618852608198, 75553492494979, 80823156302203, 86450084428451, 92457679651107, 98871119283927, 105716903068834, 113023521882966, 120820969948776, 129141475279472, 138018973679638, 147489906438395, 157592653499929, 168368404542012, 179860548457383, 192115624418839, 205182664728037, 219114233110183, 233965717815338, 249796464959028, 266669018572494, 284650357646894, 303811079674100, 324226750633773, 345977028452348, 369147136180505, 393826921537464, 420112464323060, 448105068121208, 477913014057606, 509650480574192, 543439456620143] For the set of patterns, {[0, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 14, 20, 27, 36, 48, 65, 84, 109, 141, 181, 230, 292, 367, 461, 575, 713, 882, 1090, 1336, 1634, 1994, 2425, 2938, 3552, 4280, 5149, 6175, 7385, 8816, 10506, 12483, 14805, 17529, 20713, 24426, 28759, 33797, 39660, 46460, 54334, 63455, 74008, 86172, 100203, 116370, 134964, 156323, 180845, 208951, 241155, 277994, 320086, 368163, 423026, 485518, 556684, 637662, 729695, 834204, 952803, 1087252, 1239587, 1412013, 1607013, 1827431, 2076398, 2357307, 2674114, 3031168, 3433248, 3885734, 4394638, 4966570, 5608993, 6330074, 7138908 , 8045718, 9061761, 10199357, 11472444, 12896371, 14488008, 16266139, 18251583, 20467229, 22938575, 25693587, 28763175, 32181699, 35986912, 40220198, 44927651, 50159918, 55972583, 62427059, 69590998, 77538632, 86351938, 96120732, 106943757 , 118929923, 132198575, 146880344, 163119367, 181073554, 200915752, 222835834, 247041983, 273761986, 303245880, 335766965, 371624422, 411146360, 454691271, 502650584, 555453476, 613568660, 677507701, 747830026, 825146601, 910123936, 1003490291, 1106039495, 1218637438, 1342229499, 1477845590, 1626607219, 1789738277, 1968571399, 2164556903, 2379274839, 2614445061, 2871938321, 3153791124, 3462217246, 3799623788, 4168629306, 4572078540, 5013060977, 5494935646, 6021349736, 6596261805, 7223970662, 7909141717, 8656835938, 9472545410, 10362224720, 11332330241, 12389863911, 13542412721, 14798195565, 16166120784, 17655835856, 19277785569, 21043280675, 22964564208, 25054883921, 27328576773, 29801149293, 32489372109, 35411384214, 38586793051, 42036788954, 45784278698, 49854010579, 54272715864, 59069270048, 64274854281, 69923130830, 76050441124, 82696002749, 89902132831, 97714492167, 106182328898, 115358750501, 125301031177, 136070914258, 147734946985, 160364853738, 174037918109, 188837396237, 204852974045, 222181234143, 240926173639, 261199766034, 283122535598, 306824188651, 332444312475, 360133083714, 390052042176, 422374940751, 457288627752, 494993997678, 535707029366, 579659862857, 627101977059, 678301460626, 733546330377, 793145965398, 857432673546, 926763308350, 1001521019761, 1082117157690, 1168993265603, 1262623221324, 1363515554737, 1472215874557, 1589309497737, 1715424275389, 1851233550633, 1997459353202, 2154875857934, 2324312993729, 2506660328404, 2702871262528, 2913967445211, 3141043502792, 3385272127954, 3647909438100, 3930300744541, 4233886732823, 4560209966582, 4910921876268, 5287790279050, 5692707277256, 6127697725158, 6594928322913, 7096717221673, 7635544285480, 8214062088741, 8835107532309, 9501714294457, 10217126134723, 10984810938182, 11808475750138, 12692082883589, 13639866901794, 14656352766642, 15746375258790, 16915099523902, 18168042981091, 19511098728185, 20950560304900, 22493148149472, 24146037807166, 25916889759803, 27813881267724, 29845740374741, 32021781836152, 34351945420861, 36846836781884, 39517770730424, 42376817301000, 45436850845595, 48711602014055, 52215713151213, 55964797256780, 59975500382543, 64265568089869, 68853916247559, 73760705910716, 79007422993996, 84616963098188, 90613721343214, 97023687853558, 103874549326223, 111195796586299, 119018838985821, 127377125973199, 136306275776665, 145844212211035, 156031310135227, 166910549349452, 178527678083934, 190931386747041, 204173491896608, 218309131529183, 233396972477294, 249499429987468, 266682900888492, 285018011041773, 304579877229558, 325448385148060, 347708484504816, 371450501216672, 396770468610136, 423770478871031, 452559055022928, 483251545320576, 515970541522070, 550846321536445, 588017318816924, 627630619906669, 669842490809192] For the set of patterns, {[0, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 15, 22, 29, 41, 55, 75, 97, 130, 168, 221, 281, 364, 460, 588, 737, 931, 1160, 1452, 1793, 2228, 2736, 3372, 4118, 5044, 6128, 7459, 9016 , 10916, 13137, 15826, 18964, 22744, 27148, 32416, 38550, 45856, 54341, 64400, 76067, 89843, 105798, 124551, 146232, 171642, 200969, 235209, 274667, 320609, 373458, 434809, 505274, 586859, 680419, 788458, 912165, 1054700, 1217642, 1404946, 1618774, 1864063, 2143663, 2463747, 2828105, 3244432, 3717689, 4257456 , 4870195, 5567874, 6358825, 7257900, 8275907, 9431249, 10737766, 12218301, 13890543, 15782768, 17917459, 20329581, 23047664, 26114908, 29567291, 33458073, 37832662, 42756628, 48286886, 54504170, 61479747, 69312769, 78092192, 87939665, 98966006, 111320322, 125140125, 140607956, 157894352, 177222391, 198802775, 222908000, 249798094, 279805277, 313249662, 350535893, 392057396, 438306498, 489765524, 547032768, 610698882, 681489903, 760127483, 847492001, 944463923, 1052109153, 1171500065, 1303925999, 1450691107, 1613353182, 1793495425, 1992997983, 2213780621, 2458109719, 2728309137, 3027108468, 3357317143, 3722218634, 4125204621, 4570220946, 5061356971, 5603349515, 6201122350, 6860356152, 7586972635, 8387777030, 9269881639, 10241431768, 11310959925, 12488204762, 13783390560, 15208150207, 16774721473, 18496986480, 20389575923, 22469040749, 24752854390, 27260730627, 30013514787, 33034667560, 36349031373, 39984499297, 43970647209, 48340609350, 53129561546, 58376828931, 64124205840, 70418325342, 77308799230, 84850877489, 93103394861, 102131757476, 112005673697, 122802505986, 134604770976, 147503899575, 161597482908, 176993490337, 193807239719, 212166129388, 232206308395, 254077979428, 277941748776, 303974571013, 332365745953, 363323581503, 397071015938, 433853082345, 473932124069, 517596157141, 565153650739, 616942895634, 673326317273, 734700964721, 801492330481, 874166097493, 953221424455, 1039204100455, 1132699272664, 1234346171279, 1344830243892, 1464899639840, 1595356723175, 1737076526944, 1890997611743, 2058142719256, 2239608958873, 2436590926727, 2650370184036, 2882341135360, 3133999794202, 3406972742827, 3703005166578, 4023993266726, 4371971562518, 4749149171235, 5157896378904, 5600785242976, 6080575462178, 6600259822771, 7163049384313, 7772424351141, 8432118644371, 9146176838487, 9918938184113, 10755100345530, 11659702980621, 12638199096431, 13696438313562, 14840746746037, 16077910141343, 17415263314721, 18860673359052, 20422639789466, 22110278116932, 23933431981340, 25902657410878, 28029348402907, 30325722285154, 32804960365162, 35481194882102, 38369666539701, 41486713668759, 44849948692157, 48478250178654, 52391960546348, 56612881890926, 61164497481300, 66071972356371, 71362401519722, 77064816508228, 83210463526629, 89832817381887, 96967893194051, 104654269375045, 112933437006567, 121849833754402, 131451235520195, 141788803589577, 152917523676387, 164896268912648, 177788292101507, 191661307614512, 206588043340185, 222646345016662, 239919795166572, 258497844012747, 278476503584317, 299958509909379, 323054101509991, 347881218406304, 374566375278493, 403244903570861, 434061930953485, 467172673803862, 502743535964801, 540952459944957, 581990159578367, 626060539588820, 673382078537114, 724188327682587, 778729462670016, 837272874354915, 900104909828038, 967531569586467, 1039880461151708, 1117501619083874, 1200769697193359, 1290084930201443, 1385875593761265, 1488599129302907, 1598744904631374, 1716835526345610, 1843429937862088, 1979124947370659, 2124558704459862, 2280412475308554, 2447414544299009, 2626342272548100, 2818026476394266, 3023353810255236, 3243271680263970, 3478790998097910, 3730991695063567, 4001025899627265, 4290124125297028, 4599598931895729, 4930851869242584] For the set of patterns, {[1, 0, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 13, 19, 24, 34, 43, 60, 74, 99, 124, 162, 199, 258, 317, 402, 491, 616, 748, 930, 1122, 1383, 1664, 2032, 2430, 2952, 3517, 4239, 5033, 6035, 7138, 8515, 10033, 11912, 13996, 16541, 19368, 22807, 26629, 31230, 36364 , 42507, 49361, 57513, 66613, 77384, 89419, 103573, 119398, 137949, 158674, 182848, 209885, 241298, 276408, 317059, 362493, 414918, 473498, 540860, 616114, 702430, 798781, 908976, 1031970, 1172272, 1328756, 1506844, 1705377, 1930807, 2181971, 2466524, 2783386, 3141699, 3540384, 3990345, 4490755, 5054497, 5680971 , 6385556, 7168049, 8046669, 9021773, 10114934, 11327359, 12684624, 14188844, 15870365, 17732807, 19811938, 22113102, 24678748, 27516499, 30676459, 34169177, 38053824, 42344732, 47111739, 52373636, 58212944, 64654391, 71795053, 79666748, 88384139, 97987824, 108612735, 120310353, 133239539, 147465172, 163174119, 180447238, 199504490, 220446626, 243531811, 268884604, 296808679, 327457301, 361186816, 398185305, 438871012, 483473865, 532484322, 586182131, 645142571, 709705579, 780544585, 858071127, 943074364, 1036050976, 1137924254, 1249292598, 1371236158, 1504474010, 1650268836, 1809482428, 1983590701, 2173625074, 2381308358, 2607872235, 2855328429, 3125144560, 3419666997, 3740642188, 4090806143, 4472233187, 4888111387, 5340900156, 5834313368, 6371263291, 6956071837, 7592182284, 8284624022, 9037461436, 9856541829, 10746657734, 11714604907, 12766026004, 13908813980, 15149604011, 16497559961, 17960475024, 19548979954, 21272217720, 23142517557, 25170591980, 27370729454, 29755470229, 32341365891, 35143078701, 38179770607, 41468567575, 45031643631, 48888982465, 53066226147, 57586671201, 62479958872, 67773218958, 73500693622, 79693951551, 86392530945, 93633129349, 101461374911, 109919891163, 119061309078, 128935092131, 139601912341, 151119125002, 163556641236, 176980908188, 191472436758, 207108152127, 223980726469, 242179140886, 261810010218, 282976185148, 305800261243, 330401030311, 356919387082, 385492438863, 416282036963, 449446307543, 485171077316, 523638595114, 565062110938, 609651524541, 657651434850, 709303429454, 764887930481, 824682810158, 889009397358, 958187097448, 1032583944699, 1112566840769, 1198557105921, 1290975950901, 1390305469540, 1497028912139, 1611697652308, 1734865790274, 1867163642768, 2009226164367, 2161773575045, 2325533066891, 2501327216781, 2689988359237, 2892455538452, 3109680914308, 3342736002777, 3592709417473, 3860823285335, 4148321558347, 4456597522725, 4787071859433, 5141332272420, 5521000432211, 5927884804388, 6363835493046, 6830911516352, 7331222528026, 7867111795549, 8440983688569, 9055503825548, 9713411106742, 10417736553799, 11171598587599, 11978442259682, 12841816390825, 13765634988532, 14753934705038, 15811160489136, 16941901741427, 18151204289711, 19444283499175, 20826864976325, 22304872712781, 23884801036622, 25573375762134, 27377960183244, 29306187054491, 31366401589103, 33567261886856, 35918222284403, 38429099701490, 41110600796823, 43973851540731, 47030972104479, 50294566692089, 53778350302881, 57496595707007, 61464816655180, 65699168644744, 70217193442852, 75037170010958, 80178925793346, 85663133929529, 91512196986367, 97749486369061, 104400304891621, 111491063884151, 119050331376715, 127107942202018, 135696139249712, 144848611494646, 154601736281799, 164993539845992, 176065049483083, 187859170752546, 200422158835862, 213802406327851, 228052044165988, 243225633317467, 259381906334949, 276582355989153, 294893129572166, 314383506979747, 335127960748161] For the set of patterns, {[1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 15, 21, 29, 41, 54, 73, 96, 127, 167, 216, 277, 356, 453, 575, 727, 913, 1141, 1421, 1764, 2181, 2692, 3307, 4050, 4948, 6025, 7314, 8866 , 10711, 12919, 15541, 18657, 22337, 26707, 31854, 37930, 45077, 53483, 63333, 74900, 88401, 104191, 122603, 144069, 169022, 198059, 231727, 270789, 316006, 368336, 428754, 498544, 578948, 671597, 778181, 900723, 1041388, 1202854, 1387856, 1599783, 1842217, 2119409, 2435947, 2797302, 3209267, 3678729, 4213182 , 4821248, 5512379, 6297612, 7188792, 8199748, 9345598, 10643563, 12112663, 13774637, 15653219, 17775559, 20171588, 22875045, 25923243, 29358453, 33227064, 37581545, 42479919, 47987050, 54174891, 61124172, 68923824, 77673618, 87483901, 98477556, 110790763, 124575378, 139998967, 157248236, 176529845, 198072865, 222130949, 248985688, 278947647, 312361549, 349608336, 391109101, 437329391, 488784045, 546040774, 609727225, 680536115, 759231145, 846655073, 943737550, 1051502191, 1171077556, 1303707069, 1450758566, 1613738871, 1794305923, 1994282779, 2215674699, 2460686917, 2731740960, 3031499156, 3362884969, 3729108072, 4133691239, 4580502216, 5073780610, 5618179155, 6218797527, 6881225389, 7611587140, 8416594836, 9303594233, 10280632822, 11356516101, 12540881195, 13844268756, 15278211912, 16855314065, 18589358994, 20495406184, 22589911438, 24890846145, 27417842599, 30192324166, 33237684232, 36579443624, 40245448711, 44266066411, 48674419714, 53506605890, 58801981725, 64603424565, 70957652932, 77915544240, 85532514990, 93868879282, 102990304348, 112968238917, 123880426622, 135811423397, 148853203167, 163105745292, 178677756736, 195687367087, 214262949752, 234543954006, 256681867944, 280841170260, 307200468568, 335953623545, 367311047048, 401501036044, 438771293293, 479390455302, 523649884201, 571865462447, 624379640792, 681563559409, 743819436237, 811583004919, 885326314805, 965560583376, 1052839405762, 1147762104957, 1250977469315, 1363187605249, 1485152302063, 1617693528090, 1761700435670, 1918134624006, 2088035952326, 2272528592515, 2472827800644, 2690246955784, 2926205334432, 3182236317245, 3459996396913, 3761274621230, 4088003051807, 4442267722870, 4826320647713, 5242592552449, 5693706767409, 6182493866232, 6712007761040, 7285542647788, 7906651478617, 8579165603806, 9307216095687, 10095256322872, 10948086598824, 11870880254299, 12869211920593, 13949087666226, 15116977600425, 16379850476163, 17745211295629, 19221141203041, 20816340601575, 22540175171814, 24402725486436, 26414839795488, 28588191154330, 30935338157732, 33469790398802, 36206078380035, 39159828716402, 42347844256586, 45788190508893, 49500287678639, 53505009608752, 57824789519962, 62483733518793, 67507741638528, 72924638085815, 78764310054270, 85058856680242, 91842748259026, 99152996872400, 107029338461890, 115514428300952, 124654049475037, 134497336228932, 145097012683830, 156509648337339, 168795930736603, 182020957745554, 196254549330941, 211571581139440, 228052340975851, 245782909881560, 264855568864669, 285369234211471, 307429921891315, 331151243898604, 356654938455237, 384071436283963, 413540464893328, 445211694547862, 479245427352192, 515813332989860, 555099234346717, 597299945881292, 642626168012982, 691303442260896, 743573169829706, 799693698313754, 859941481501194, 924612316126902, 994022660826951, 1068511043380361, 1148439560967782, 1234195479583612, 1326192940119622, 1424874776508013, 1530714453819730, 1644218134531560, 1765926880460669, 1896418998698186, 2036312542673869, 2186267975833903, 2346991009803819, 2519235628101816, 2703807306949118, 2901566444714646, 3113432016014948, 3340385461318086, 3583474829279333, 3843819187071803, 4122613316039394, 4421132708689019, 4740738890094587, 5082885079288523] For the set of patterns, {[1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 21, 29, 40, 52, 72, 93, 125, 160, 210, 267, 346, 436, 557, 697, 880, 1091, 1368, 1687, 2095, 2568, 3164, 3859, 4726, 5729, 6972, 8421 , 10193, 12250, 14754, 17660, 21174, 25250, 30140, 35812, 42588, 50427, 59744, 70520, 83262, 97974, 115313, 135304, 158765, 185780, 217370, 253703, 296059, 344677, 401187, 465987, 541082, 627056, 726435, 840058, 971069, 1120654, 1292711, 1488900, 1714094, 1970489, 2264178, 2598157, 2979939, 3413512, 3908231 , 4469363, 5108494, 5832507, 6655728, 7587171, 8644586, 9839524, 11193928, 12722765, 14453053, 16403934, 18608738, 21091844, 23894330, 27047151, 30600750, 34594344, 39089942, 44136853, 49811209, 56175066, 63321622, 71328546, 80310036, 90363074, 101627328, 114223514, 128322147, 144073338, 161685209, 181343511, 203301913, 227790242, 255117228, 285566243, 319512810, 357305632, 399400953, 446227054, 498337363, 556257103, 620657157, 692179838, 771637488, 859814887, 957694401, 1066232666, 1186616665, 1320010838, 1467847914, 1631542843, 1812822629, 2013404396, 2235368433, 2480794549, 2752185626, 3052057989, 3383419861, 3749310805, 4153342991, 4599183061, 5091164163, 5633703539, 6231993422, 6891348836, 7617986330, 8418291778, 9299700519, 10269877062, 11337705936, 12512374328, 13804488494, 15225048194, 16786703904, 18502610445, 20387841402, 22458111728, 24731367696, 27226360830, 29964437492, 32967950418, 36262267682, 39874006079, 43833287244, 48171773261, 52925199869, 58131192964, 63832111118, 70072624863, 76902903172, 84375926929, 92551064730, 101491097775, 111266224518, 121950769084, 133627667989, 146384831206, 160320168463, 175537567269, 192152519714, 210287688810, 230079204157, 251671771556, 275225720753, 300911621439, 328918163348, 359446235044, 392717736859, 428969074378, 468461013250, 511471534190, 558306847586, 609293566925, 664791014256, 725182644943, 790889801410, 862362336516, 940093973898, 1024612065812, 1116494749261, 1216359773341, 1324883661127, 1442789533407, 1570868501663, 1709966431182, 1861007820757, 2024981417883, 2202966882341, 2396119187593, 2605698377131, 2833052675838, 3079651700866, 3347068209484, 3637015166100, 3951326044284, 4291996187665, 4661161614646, 5061145168556, 5494433734576, 5963729743881, 6471926755156, 7022166918184, 7617814864286, 8262521821139, 8960197771073, 9715082995753, 10531718463231, 11415025652551, 12370275182884, 13403175878450, 14519841623616, 15726890756469, 17031411208742, 18441071408097, 19964083772958, 21609328467673, 23386315371931, 25305322198385, 27377355082993, 29614302723252, 32028895850171, 34634879261786, 37446970432925, 40481051549748, 43754127664611, 47284541050809, 51091929377840, 55197465004469, 59623813774828, 64395402195258, 69538377561512, 75080906271246, 81053136226774, 87487529948109, 94418830279959, 101884432419473, 109924354269285, 118581651942567, 127902396302230, 137936137072373, 148735887420632, 160358642452551, 172865373992088, 186321609844604, 200797441420299, 216368170974165, 233114335036244, 251122427699211, 270484943449863, 291301185497928, 313677332143640, 337727340240571, 363573039942561, 391345144642258, 421183379674666, 453237611334374, 487668016145131, 524646343146178, 564356131173697, 606994120302712, 652770525926417, 701910617102865, 754655057469360, 811261670369016, 872005858206057, 937182576698129, 1007106845950074, 1082115958698549, 1162570098518358, 1248854810035432, 1341381741701385, 1440591409276499, 1546954083367223, 1660972881177569, 1783184821803641, 1914164285443179, 2054524262783395, 2204920225671248, 2366051600558221, 2538666099683264, 2723561452989248, 2921590254925353, 3133661993727927, 3360748475454838, 3603886195205594, 3864182407343321, 4142817889221144, 4441053734735938] For the set of patterns, {[1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 15, 22, 30, 41, 55, 76, 100, 132, 173, 226, 291, 375, 477, 610, 770, 972, 1217, 1523, 1893, 2349, 2902, 3579, 4391, 5380, 6564, 7999, 9710 , 11766, 14215, 17147, 20622, 24761, 29657, 35470, 42317, 50411, 59926, 71136, 84275, 99696, 117730, 138844, 163460, 192194, 225621, 264540, 309707, 362149, 422893, 493256, 574573, 668551, 776942, 901959, 1045850, 1211461, 1401742, 1620317, 1870992, 2158385, 2487431, 2864027, 3294451, 3786230, 4347406, 4987537 , 5716853, 6547436, 7492366, 8566876, 9787511, 11173498, 12745776, 14528563, 16548192, 18835087, 21422450, 24348365, 27654478, 31388392, 35602346, 40355773, 45713845, 51750647, 58547487, 66196503, 74798823, 84468772, 95332102, 107530435 , 121219566, 136574710, 153788691, 173077938, 194680465, 218863125, 245919543, 276178091, 310000161, 347789243, 389989602, 437096385, 489654427, 548270503, 613612121, 686421595, 767515281, 857799913, 958272835, 1070040072, 1194317789, 1332453413, 1485928130, 1656381296, 1845613935, 2055617825, 2288580679, 2546919064, 2833286431, 3150611111, 3502107667, 3891320348, 4322137784, 4798844553, 5326139602, 5909196014, 6553684595, 7265843621, 8052509586, 8921196593, 9880135811, 10938368303, 12105793630, 13393278077, 14812713732, 16377146062, 18100846489, 19999459465, 22090092540, 24391487348, 26924130376, 29710450737, 32774954262, 36144456181, 39848241791, 43918337662, 48389705100, 53300556776, 58692590958, 64611357415, 71106539705, 78232382700, 86048029578, 94618020030, 104012690916, 114308759797, 125589801751, 137946926993, 151479349762, 166295177218, 182512086495, 200258241244, 219673092996, 240908452767, 264129436588, 289515712918, 317262619477, 347582616264, 380706605486, 416885617393, 456392367653, 499523220464, 546600019759, 597972372553, 654019797674, 715154386072, 781823322461, 854511972541, 933746843761, 1020099171198, 1114188388507, 1216686288617, 1328321083688, 1449882242850, 1582225234022, 1726277137727, 1883042184598, 2053608269458, 2239153417497, 2440953328034, 2660388917936, 2898955068474, 3158269409996, 3440082456474, 3746287824615, 4078933979473, 4440236118657, 4832589760450, 5258584561161, 5721020035707, 6222921608438, 6767558786953, 7358463785354, 7999452546091, 8694646327344, 9448495993214, 10265807028198, 11151767594152, 12111977505620, 13152480603352, 14279798293730, 15500966910944, 16823576501278, 18255813917171, 19806507633893, 21485177447274, 23302086237973, 25268297226591, 27395733740518, 29697245158211, 32186675871101, 34878941192909, 37790106869126, 40937476454372, 44339682922351, 48016789172297, 51990393536490, 56283745342023, 60921866372815, 65931683649210, 71342169179065, 77184492494133, 83492181336428, 90301296805465, 97650618010394, 105581843116693, 114139801445209, 123372684092263, 133332287455769, 144074277685163, 155658470145055, 168149132512381, 181615305297775, 196131149148824, 211776312268601, 228636328161261, 246803036631622, 266375039114674, 287458180869319, 310166071953326, 334620639245941, 360952722351711, 389302705236961, 419821197543686, 452669756980595, 488021668009541, 526062767686800, 566992335185693, 611024035524756, 658386935324500, 709326580771665, 764106157033389, 823007718979110, 886333514140145, 954407387214083, 1027576288973433, 1106211878455339, 1190712243292855, 1281503726697296, 1379042887980923, 1483818585009460, 1596354207695561, 1717210050620909, 1846985856509331, 1986323518341735, 2135909974793991, 2296480286418676, 2468820930364825, 2653773301094971, 2852237458097687, 3065176108163107, 3293618866748852, 3538666786246641, 3801497199771758, 4083368868279470, 4385627484258136, 4709711520124173, 5057158479475930, 5429611539901272, 5828826650634208, 6256680074885234, 6715176445800199, 7206457326889491, 7732810352406258] The first, 300, terms of all the enumerating sequences of partitions avoiding sets of, 2, patterns each of length, 3, whose entries are from 0 to, 1 For the set of patterns, {[0, 0, 0], [0, 0, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 15, 21, 28, 35, 46, 58, 75, 94, 119, 148, 184, 226, 279, 341, 417, 506, 616, 740, 892, 1069, 1278, 1522, 1817, 2154, 2552, 3012, 3554, 4177, 4906, 5741, 6720, 7844, 9143, 10630, 12354, 14321, 16588, 19171, 22140, 25518, 29389, 33783, 38807, 44503, 50989, 58336, 66695, 76130, 86836, 98917, 112589, 127992, 145396, 164966, 187034, 211831, 239736, 271034, 306207, 345598, 389798, 439237, 494605, 556473, 625675, 702877, 789110, 885229, 992428, 1111751 , 1244682, 1392491, 1556943, 1739593, 1942544, 2167737, 2417700, 2694725, 3001864, 3341959, 3718619, 4135264, 4596214, 5105606, 5668633, 6290265, 6976633 , 7733778, 8569026, 9489531, 10504054, 11621248, 12851424, 14204925, 15694074, 17331189, 19130834, 21107718, 23279084, 25662498, 28278364, 31147440, 34293905, 37742464, 41521547, 45660480, 50192831, 55153225, 60581275, 66517942, 73009715, 80104987, 87858520, 96327241, 105575485, 115670407, 126687392, 138705404, 151812858, 166102449, 181677842, 198647806, 217133446, 237262370, 259176336, 283024549, 308972511, 337194875, 367884739, 401246225, 437504458, 476897518, 519687888, 566153272, 616598882, 671348359, 730756857, 795200876, 865093072, 940871411, 1023014966, 1112032637, 1208480210, 1312948152, 1426081035, 1548563920, 1681142959, 1824612083, 1979835302, 2147731741, 2329300588, 2525605303, 2737800577, 2967116034, 3214885173, 3482528090, 3771584023, 4083692308, 4420627435, 4784280503, 5176696909, 5600055742, 6056712347, 6549176894, 7080159894, 7652550353, 8269465314, 8934227207, 9650418912, 10421859165, 11252662236, 12147214356, 13110238375, 14146768278, 15262221414, 16462372224, 17753430391, 19142015447, 20635241534, 22240691212, 23966509966, 25821379119, 27814618245, 29956160237, 32256663136, 34727484291, 37380804477, 40229602822, 43287792053, 46570196226, 50092697617, 53872215984, 57926872369, 62275969366, 66940169122, 71941479250, 77303448067, 83051153069, 89211416897, 95812799985, 102885837061, 110463038297, 118579147265, 127271147968, 136578552325, 146543414413, 157210643846, 168628033430, 180846603945, 193920642121, 207908081514, 222870554024, 238873808800, 255987783156, 274287061164, 293850962029, 314764050289, 337116245364, 361003380437, 386527341139, 413796680621, 442926787074, 474040565023, 507268634585, 542750081214, 580632699401, 621073817409, 664240582235, 710310875360, 759473648566, 811929930042, 867893222557, 927590614052, 991263241317, 1059167518762, 1131575674275, 1208777106513, 1291079012779, 1378807882914, 1472310220973, 1571954204488, 1678130514668, 1791254162875, 1911765451096, 2040131991500, 2176849803489, 2322445549475, 2477477788173, 2642539445588, 2818259253014, 3005304472183, 3204382530652, 3416244046221, 3641684685378, 3881548499632, 4136730043730, 4408178066339, 4696897910106, 5003955597882, 5330480546606, 5677670085241, 6046792537113, 6439192210510, 6856292874720, 7299603292456, 7770721141687, 8271339127780, 8803249414195, 9368350382359, 9968651618413, 10606281398360, 11283492295106, 12002669455301, 12766336916574, 13577166755621, 14437986175732, 15351787641567, 16321736833245, 17351183846255, 18443672121438, 19602950830778, 20832984883257, 22137968633960, 23522337079751, 24990781015911, 26548259584199, 28200017027480, 29951596710591, 31808859664190, 33778000254708, 35865566677955, 38078478473719, 40424049179634] For the set of patterns, {[0, 0, 0], [0, 1, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 8, 11, 15, 20, 26, 34, 44, 56, 71, 90, 112, 140, 174, 214, 263, 322, 392, 476, 576, 694, 834, 1000, 1194, 1423, 1692, 2005, 2372, 2800, 3296, 3874, 4544, 5318, 6214, 7248, 8438, 9808, 11383, 13188, 15258, 17628, 20334, 23426, 26952, 30966, 35536, 40730, 46625, 53314, 60894, 69472, 79176, 90142, 102518, 116480, 132216, 149930, 169864, 192274, 217442, 245696, 277385, 312896, 352670, 397183, 446960, 502594, 564730, 634074, 711424, 797646, 893688, 1000618 , 1119592, 1251880, 1398902, 1562198, 1743460, 1944568, 2167568, 2414701, 2688450, 2991520, 3326868, 3697764, 4107768, 4560768, 5061056, 5613298, 6222592 , 6894548, 7635264, 8451400, 9350264, 10339803, 11428684, 12626400, 13943274, 15390548, 16980520, 18726554, 20643190, 22746314, 25053172, 27582520, 30354816, 33392256, 36718966, 40361216, 44347502, 48708764, 53478654, 58693656, 64393343, 70620718, 77422366, 84848780, 92954773, 101799680, 111447772, 121968744, 133437994, 145937134, 159554574, 174385904, 190534514, 208112304, 227240192, 248048860, 270679636, 295285136, 322030184, 351092896, 382665482, 416955400, 454186656, 494600834, 538458518, 586040857, 637650892, 693615278, 754286200, 820043048, 891294506, 968480910, 1052076324, 1142591106, 1240574784, 1346618624 , 1461358794, 1585479840, 1719717888, 1864864512, 2021770944, 2191352062, 2374591088, 2572544715, 2786348034, 3017220240, 3266470886, 3535505926, 3825834668, 4139077374, 4476972658, 4841385968, 5234318780, 5657917670, 6114484626, 6606488164, 7136574448, 7707579778, 8322544054, 8984724356, 9697610048, 10464939102, 11290714602, 12179223040, 13135054058, 14163120474, 15268680448, 16457361283, 17735183744, 19108588838, 20584466496, 22170185076, 23873623639, 25703206534, 27667939090, 29777446496, 32042015472, 34472637352, 37081054912, 39879812500, 42882307974, 46102849064, 49556713582, 53260211994, 57230755160, 61486926576, 66048557698, 70936809216, 76174257708, 81784986166, 87794681408, 94230737960, 101122366656, 108500711346, 116398973264, 124852541170, 133899131072, 143578934918, 153934776445, 165012278242, 176860039370, 189529821824, 203076750032, 217559522908, 233040636650, 249586622760, 267268301010, 286161045312, 306345067508, 327905718818, 350933806802, 375525933446, 401784853992, 429819854520, 459747154292, 491690332534, 525780777822, 562158166414, 600970969480, 642376987392, 686543917907, 733649958528, 783884441088, 837448506146, 894555817680, 955433316098, 1020322018080, 1089477863754, 1163172609536, 1241694775898, 1325350650758, 1414465347258, 1509383925784, 1610472581520, 1718119896486, 1832738166784, 1954764807040, 2084663831040, 2222927420592, 2370077585070, 2526667910968, 2693285414942, 2870552503168, 3059129037094, 3259714520348, 3473050410324, 3699922555380, 3941163773692, 4197656578416, 4470336050807, 4760192878976, 5068276568264, 5395698825558, 5743637137392, 6113338549064, 6506123648093, 6923390774356, 7366620465344, 7837380141460, 8337329056164, 8868223521024, 9431922412552, 10030392988126, 10665717023406, 11340097280000, 12055864333770, 12815483778944, 13621563818732, 14476863276792, 15384300047488, 16346959998208, 17368106362608, 18451189645668, 19599858057332, 20817968518272, 22109598262392, 23479057056966, 24930900088958, 26469941546990, 28101268924160, 29830258096308, 31662589210784, 33604263415696] For the set of patterns, {[0, 0, 0], [0, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 12, 16, 21, 28, 37, 49, 61, 78, 100, 126, 156, 195, 241, 298 , 367, 447, 545, 662, 799, 965, 1159, 1390, 1659, 1982, 2353, 2792, 3308, 3904, 4598, 5408, 6346, 7437, 8698, 10148, 11825, 13765, 15979, 18530, 21459, 24819, 28655, 33044, 38047, 43762, 50273, 57673, 66083, 75649, 86482, 98771, 112686, 128420, 146203, 166295, 188948, 214499, 243278, 275654, 312062, 353002, 398940, 450499, 508312, 573076, 645587, 726750, 817450, 918822, 1032018, 1158340, 1299208, 1456234, 1631112, 1825824, 2042461, 2283315, 2550984, 2848348, 3178368 , 3544564, 3950642, 4400711, 4899281, 5451338, 6062208, 6737956, 7485093, 8310666, 9222542, 10229387, 11340392, 12565932, 13917134, 15406276, 17046710, 18853158, 20841335, 23028853, 25434687, 28079447, 30985779, 34178422, 37683966, 41531847, 45753789, 50384476, 55461564, 61026233, 67122785, 73800073, 81110713, 89111890, 97865914, 107440615, 117909055, 129351165, 141853381, 155509365, 170420953, 186698702, 204461661, 223839896, 244973633, 268014959, 293128488, 320492863, 350300479, 382760674, 418099226, 456560236, 498408072, 543928690, 593430028, 647246230, 705737463, 769292911, 838332679, 913310954, 994716497, 1083078601, 1178967111, 1282996639, 1395830401, 1518183886, 1650826851, 1794590755, 1950370112, 2119128984, 2301905909, 2499819769, 2714073109, 2945962999, 3196884001, 3468336458, 3761934802, 4079416449, 4422647386, 4793636769, 5194542516, 5627684166, 6095554798, 6600833801, 7146396272, 7735333939, 8370964635, 9056850592, 9796815751, 10594965849, 11455703187, 12383754869, 13384189174, 14462442401, 15624344850, 16876148470, 18224551461, 19676738504, 21240405708, 22923799557, 24735754730, 26685737128, 28783878831, 31041035430, 33468825453, 36079686803, 38886932911, 41904812554, 45148566183, 48634505214, 52380073638, 56403928460, 60726020586, 65367684584, 70351720857, 75702509380, 81446100340, 87610331068, 94224945263, 101321720713, 108934591902, 117099810577, 125856082377, 135244733845, 145309883947, 156098629470, 167661225985, 180051314827, 193326122508, 207546702275, 222778181040, 239090026752, 256556309919, 275256025288, 295273386824, 316698169482, 339626065644, 364159065024, 390405837876, 418482188848, 448511482412, 480625133383, 514963112767, 551674495310, 590918007164, 632862668650, 677688407035, 725586753114, 776761566033, 831429805056, 889822320734, 952184756629, 1018778432495, 1089881327610, 1165789107684, 1246816225930, 1333297044934, 1425587110934, 1524064405939, 1629130741417, 1741213214104, 1860765755450, 1988270728898, 2124240712191, 2269220284951, 2423787985148, 2588558359931, 2764184150475, 2951358550576, 3150817704603, 3363343226860, 3589764954453, 3830963828670, 4087874962370, 4361490815303, 4652864689238, 4963114277213, 5293425508404, 5645056590003, 6019342295004, 6417698428923, 6841626687466, 7292719635357, 7772666080834, 8283256712926, 8826390090167, 9404078870314, 10018456581256, 10671784570210, 11366459479914, 12105021102456, 12890160700566, 13724729705001, 14611749086049, 15554419039037, 16556129355043, 17620470325813, 18751244292494, 19952477706084, 21228434106897, 22583627559254, 24022837012636, 25551121386099, 27173835536278, 28896646973649, 30725553760250, 32666903100692, 34727411151476, 36914183858712, 39234738980997, 41697029151910, 44309466522393, 47080948405345, 50020884551158, 53139225818008, 56446494468657] For the set of patterns, {[0, 0, 0], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 4, 5, 9, 11, 15, 19, 26, 34, 45, 55, 71, 89, 113, 139, 176, 214, 265, 323, 395, 476, 581, 698, 844, 1008, 1208, 1436, 1713, 2024, 2403, 2835, 3347, 3926, 4617, 5400, 6322, 7367, 8589, 9981, 11608, 13440, 15569, 17986, 20777, 23933, 27569, 31673, 36385, 41706, 47791, 54653, 62482, 71291, 81324, 92612, 105412, 119794, 136087, 154360, 175010, 198156, 224250, 253461, 286348, 323114, 364420, 410557, 462289, 520018, 584667, 656688, 737212, 826868, 926948, 1038241 , 1162313, 1300139, 1453599, 1623903, 1813242, 2023174, 2256336, 2514560, 2800988, 3117958, 3469154, 3857408, 4287119, 4761740, 5286528, 5865666, 6505281 , 7210547, 7988789, 8846136, 9791272, 10831679, 11977542, 13237865, 14624755, 16148960, 17824776, 19665127, 21686821, 23905377, 26340615, 29010895, 31939663, 35148935, 38666151, 42517471, 46735246, 51350451, 56401149, 61924101, 67963852, 74563985, 81776847, 89653785, 98256225, 107644827, 117891322, 129067288, 141256827, 154543991, 169027124, 184805114, 201992735, 220706115, 241079318, 263248322, 287369606, 313602524, 342129186, 373136172, 406835751, 443445556, 483212650, 526391352, 573268790, 624141506, 679343087, 739218810, 804156306, 874557506, 950871533, 1033565810, 1123161502, 1220201248, 1325288582, 1439053441, 1562194381, 1695441983, 1839604217, 1995527059, 2164144866, 2346437062, 2543482253, 2756413459, 2986476171, 3234979155, 3503358973, 3793127307, 4105939817, 4443540714, 4807837274, 5200840116, 5624745139, 6081868816, 6574736591, 7106015713, 7678609962, 8295586878, 8960282688, 9676224468, 10447242322, 11277387984, 12171056403, 13132898678, 14167955220, 15281562075, 16479494585, 17767870905, 19153306611, 20642810585, 22243955329, 23964766592, 25813906543, 27800559280, 29934628709, 32226616829, 34687840721, 37330303377, 40166927987, 43211425083, 46478545231, 49983938148, 53744430520, 57777877641, 62103462602, 66741544458, 71713982497, 77043976522, 82756421944, 88877742739, 95436275332, 102462099164, 109987452316, 118046555057, 126676065625, 135914896920, 145804709251, 156389727561, 167717276292, 179837590280, 192804400009, 206674739080, 221509579718, 237373643007, 254336087113, 272470316062, 291854735430, 312572560769, 334712636062, 358369251904, 383643037091, 410640779090, 439476399410, 470270782872, 503152839379, 538259349927, 575736119635, 615737838664, 658429349251, 703985522649, 752592635178, 804448278965, 859762864470, 918759557530, 981675924035, 1048763903354, 1120291603116, 1196543323990, 1277821516275, 1364446855233, 1456760389526, 1555123675005, 1659921117792, 1771560192977, 1890474004893, 2017121584904, 2151990701026, 2295598255997, 2448493358399, 2611257842132, 2784509623646, 2968903353956, 3165134107639, 3373938181103, 3596097125542, 3832438735930, 4083841468284, 4351235620507, 4635608184109, 4938004254020, 5259532343308, 5601366062561, 5964749942469, 6351001407528, 6761517178129, 7197775572359, 7661343521002, 8153879267720, 8677140065900, 9232985298630, 9823384940046, 10450423159608, 11116307606876, 11823373576186, 12574094194916, 13371085200287, 14217116149442, 15115115880761, 16068184819067, 17079601236917, 18152834770480, 19291553542280, 20499639032832, 21781194182559, 23140559728087, 24582323416222, 26111337955217, 27732731452301, 29451927172462, 31274655338394, 33206974843958, 35255286613573, 37426357473676] For the set of patterns, {[0, 0, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 12, 15, 21, 28, 37, 47, 60, 76, 99, 122, 154, 190, 235, 290, 359, 435, 531, 642, 778, 935, 1127, 1349, 1612, 1919, 2280, 2702, 3201, 3772, 4447, 5229, 6134, 7177, 8392, 9789, 11403, 13261, 15390, 17845, 20663, 23879, 27560, 31769, 36564, 42042, 48276, 55362, 63411, 72565, 82934, 94690, 107985, 123021, 140003, 159200, 180813, 205204, 232648, 263534, 298251, 337287, 381049, 430175, 485212, 546890, 615885, 693107, 779365, 875781, 983382, 1103437, 1237265, 1386460, 1552497, 1737367, 1942935, 2171499, 2425386, 2707378, 3020231 , 3367360, 3752129, 4178508, 4650654, 5173431, 5751680, 6391236, 7098071, 7879028, 8741373, 9693318, 10743410, 11901566, 13178117, 14584697, 16133776, 17839258, 19715820, 21780159, 24049915, 26544560, 29285259, 32295285, 35599546, 39225751, 43203513, 47565401, 52346718, 57586088, 63325025, 69609242, 76487997, 84014900, 92248363, 101251749, 111093403, 121848174, 133596911, 146427185, 160434359, 175721452, 192400093, 210591578, 230427120, 252048476, 275609858, 301277554, 329231619, 359667012, 392794934, 428842633, 468057227, 510704619, 557072848, 607472850, 662240828, 721738552, 786358660, 856523154, 932688430, 1015346092, 1105027821, 1202304749, 1307795465, 1422164213, 1546128545, 1680460644, 1825993941, 1983623063, 2154315516, 2339109184, 2539123920, 2755562954, 2989723631, 3242997721, 3516886952, 3813001794, 4133077370, 4478976015, 4852703105, 5256408062, 5692407035, 6163181797, 6671402342, 7219932470, 7811851120, 8450456659, 9139297340, 9882173243, 10683167358, 11546654454, 12477332494, 13480231373, 14560753780, 15724682349, 16978221564, 18328015280, 19781188777, 21345366090, 23028725011, 24840012704, 26788603891, 28884529055, 31138533428, 33562106381, 36167556053, 38968040169, 41977644064, 45211427248, 48685504310, 52417094506, 56424624033, 60727776978, 65347603288, 70306592001, 75628783410, 81339849167, 87467229940, 94040221000, 101090119829, 108650338203, 116756559533, 125446862094, 134761909289, 144745082511, 155442684387, 166904112062, 179182073318, 192332775403, 206416185204, 221496234786, 237641104887, 254923479277, 273420847409, 293215788099, 314396327969, 337056252844, 361295497308, 387220522391, 414944739244, 444588925110, 476281721778, 510160094960, 546369879705, 585066328524, 626414701592, 670590877825, 717782046990, 768187380377, 822018790244, 879501719534, 940875976016, 1006396608265, 1076334869610, 1150979188814, 1230636231758, 1315632032772, 1406313160336, 1503047973554, 1606227967526, 1716269159570, 1833613579327, 1958730871211, 2092119932861, 2234310696571, 2385866006192, 2547383594854, 2719498160784, 2902883632040, 3098255462669, 3306373148041, 3528042847159, 3764120167634, 4015513071340, 4283185056231, 4568158365732, 4871517524975, 5194412990323, 5538065067836, 5903767966144, 6292894238881, 6706899275073, 7147326238230, 7615811148185, 8114088359433, 8643996199138, 9207483163471, 9806614169774, 10443577433365, 11120691530677, 11840413018286, 12605344280486, 13418242118140, 14282026445218, 15199789825718, 16174807263368, 17210546778594, 18310680282716, 19479095454952, 20719907806288, 22037473858265, 23436404697871, 24921580583352, 26498165992319, 28171625995488, 29947742942011, 31832634626115, 33832772988645, 35955004245122, 38206569647674, 40595127988268, 43128778627368, 45816086449310, 48666107616290, 51688417211108] For the set of patterns, {[0, 0, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 15, 22, 28, 35, 47, 59, 76, 97, 122, 152, 188, 233, 288, 353, 431, 525, 639, 769, 929, 1117, 1336, 1595, 1906, 2261, 2679, 3176, 3746, 4413, 5191, 6083, 7129, 8339, 9725, 11325, 13183, 15300, 17739, 20542, 23746, 27407, 31602, 36388, 41844, 48053, 55115, 63153, 72279, 82605, 94333, 107604, 122606, 139565, 158726, 180317, 204662, 232096, 262951, 297641, 336646, 380397, 429508, 484567, 546227, 615272, 692544, 778874, 875369, 983119, 1103303, 1237349, 1386770, 1553130, 1738355, 1944408, 2173472, 2428035, 2710818, 3024591 , 3372741, 3758835, 4186644, 4660531, 5185247, 5765800, 6407964, 7117875, 7902295, 8768674, 9725168, 10780494, 11944616, 13228043, 14642267, 16200121, 17915541, 19803409, 21880392, 24164490, 26675288, 29434250, 32464805, 35792092, 39444181, 43451043, 47845453, 52663328, 57943552, 63728100, 70063277, 76999024, 84589421, 92893619, 101975793, 111905088, 122757470, 134614619, 147565303, 161706062, 177141523, 193984419, 212358128, 232395374, 254239890, 278048033, 303988785, 332244174, 363012624, 396507896, 432960953, 472622251, 515762525, 562673003, 613670464, 669095663, 729316683, 794731698, 865770290, 942895163, 1026607288, 1117445870, 1215992525, 1322875325, 1438770906, 1564407448, 1700572465, 1848112113, 2007937985, 2181033339, 2368456791, 2571345542, 2790927200, 3028520991, 3285545820, 3563529529, 3864115140, 4189067797, 4540288269, 4919817155, 5329848300, 5772740239, 6251026702, 6767426310, 7324863642, 7926476256, 8575632002, 9275947992, 10031305866, 10845868132, 11724105397, 12670809114, 13691118942, 14790548156, 15975006926, 17250827440, 18624803229, 20104209021, 21696839760, 23411048826, 25255782734, 27240619050, 29375819440, 31672365459, 34142012785, 36797345859, 39651830969, 42719871159, 46016884249, 49559354725, 53364913118, 57452415700, 61842022157, 66555277773, 71615221488, 77046468492, 82875321257, 89129886083, 95840186890, 103038285563, 110758435901, 119037204866, 127913635460, 137429411756, 147629025742, 158559953596, 170272871432, 182821837766, 196264524670, 210662456532, 226081249530, 242590868625, 260265932880, 279185983409, 299435812789, 321105805966, 344292288903, 369097894417, 395631996224, 424011100991, 454359314848, 486808829068, 521500419801, 558583979580, 598219121757, 640575750343, 685834723509, 734188543785, 785842072434, 841013282658, 899934120789, 962851320731, 1030027340033, 1101741340991, 1178290207507, 1259989619022, 1347175251422, 1440203949667, 1539455050304, 1645331763045, 1758262607922, 1878702942208, 2007136649175, 2144077797616, 2290072503608, 2445700876636, 2611579057205, 2788361359682, 2976742634113, 3177460631093, 3391298602429, 3619088034426, 3861711507580, 4120105723515, 4395264799617, 4688243589405, 5000161333350, 5332205479647, 5685635697663, 6061788108686, 6462079882906, 6888013903305, 7341183850115, 7823279539583, 8336092521575, 8881521999827, 9461581212390, 10078403955562, 10734251654373, 11431520793712, 12172750717949, 12960631856511, 13798014581189, 14687918297087, 15633541254176, 16638270838699, 17705694411581, 18839610736721, 20044042211463, 21323247499064, 22681735090797, 24124277568600, 25655926585191, 27282028674932, 29008242145902, 30840554548499, 32785301395959, 34849185829416, 37039299313649, 39363143438135, 41828653157541, 44444220911055, 47218722371250, 50161543517894, 53282609104911] For the set of patterns, {[0, 0, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 12, 16, 22, 28, 37, 49, 64, 80, 103, 128, 162, 201, 249, 310 , 382, 469, 572, 692, 840, 1012, 1225, 1470, 1763, 2105, 2508, 2980, 3535, 4182 , 4937, 5817, 6841, 8030, 9411, 11005, 12850, 14975, 17430, 20247, 23494, 27208 , 31476, 36360, 41946, 48335, 55616, 63923, 73377, 84132, 96358, 110230, 125970 , 143802, 163988, 186830, 212633, 241778, 274659, 311720, 353479, 400459, 453310, 512701, 579395, 654254, 738168, 832232, 937540, 1055406, 1187228, 1334546, 1499099, 1682777, 1887665, 2116115, 2370627, 2654090, 2969536, 3320439 , 3710512, 4143916, 4625212, 5159425, 5752049, 6409164, 7137348, 7943957, 8836946, 9825149, 10918164, 12126581, 13461913, 14936893, 16565275, 18362361, 20344621, 22530350, 24939319, 27593265, 30515879, 33733000, 37272919, 41166515, 45447349, 50152332, 55321220, 60997931, 67229727, 74068596, 81570821, 89797840, 98816505, 108699517, 119525942, 131381879, 144360620, 158563977, 174102153, 191095226, 209673329, 229977879, 252162193, 276392868, 302850240, 331730459, 363245460, 397625713, 435120322, 475999494, 520555947, 569106303, 621993779, 679589508, 742295024, 810545246, 884809609, 965596947, 1053456052, 1148981086, 1252813496, 1365646362, 1488228535, 1621368289, 1765938393, 1922881190, 2093212858, 2278030860, 2478517904, 2695950369, 2931704163, 3187262405, 3464224105, 3764311863, 4089381848, 4441433710, 4822620241, 5235260550, 5681850151, 6165075964, 6687829199, 7253220386, 7864596254, 8525555647, 9239968988, 10011997628, 10846114355, 11747127101, 12720201769, 13770888700, 14905150474, 16129390028, 17450484118, 18875815084, 20413307901, 22071468906, 23859424926, 25786969924, 27864609001, 30103610282, 32516058353, 35114909103, 37914054024, 40928381161, 44173847565, 47667551905, 51427812648, 55474254268, 59827894501, 64511241302, 69548395847, 74965157601, 80789145906, 87049917310, 93779102414, 101010543449, 108780443556, 117127528218, 126093212056, 135721781142, 146060586832, 157160245572, 169074865020, 181862266324, 195584240458, 210306804478, 226100484917, 243040614877, 261207650442, 280687506828, 301571920225, 323958822178, 347952754022, 373665288516, 401215495822, 430730426247, 462345628573, 496205701659, 532464878135, 571287643231, 612849403141, 657337172351, 704950336321, 755901424580, 810416964831, 868738367446, 931122873021, 997844562891, 1069195421161, 1145486469758, 1227048976448, 1314235716191, 1407422346871, 1507008821149, 1613420933769, 1727111922174, 1848564189301, 1978291121271, 2116839013918, 2264789117431, 2422759812172, 2591408891172, 2771436020848, 2963585296933, 3168648006597, 3387465511365, 3620932330517, 3869999394549, 4135677497997, 4419040948029, 4721231452987, 5043462196033, 5387022213141, 5753280955419, 6143693189139, 6559804133062, 7003254922277, 7475788390845, 7979255181034, 8515620215964, 9086969563759, 9695517655586, 10343614999864, 11033756247332, 11768588821637, 12550921967871, 13383736374325, 14270194330065, 15213650463244, 16217663105176, 17286006312416, 18422682544315, 19631936128648, 20918267412062, 22286447806074, 23741535613672, 25288892808869, 26934202739020, 28683488847526, 30543134433681, 32519903573144, 34620963144616, 36853906198689, 39226776529958, 41748094728155, 44426885623814, 47272707296453, 50295681714137, 53506527062322, 56916591881408, 60537891140978, 64383144228931, 68465815189714, 72800155028133, 77401246511079, 82285051331921] For the set of patterns, {[0, 0, 1], [0, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 13, 20, 26, 35, 45, 62, 80, 103, 131, 169, 212, 270, 335, 421, 520, 645, 789, 974, 1186, 1447, 1750, 2126, 2558, 3084, 3689, 4425, 5279, 6292, 7461, 8866, 10479, 12385, 14578, 17171, 20148, 23635, 27633, 32309, 37672 , 43902, 51015, 59288, 68726, 79622, 92046, 106366, 122666, 141389, 162657, 187042, 214719, 246342, 282150, 323023, 369269, 421860, 481284, 548776, 624926, 711232, 808444, 918439, 1042235, 1181999, 1339036, 1516130, 1714919, 1938602, 2189364, 2471230, 2786833, 3140999, 3537058, 3980924, 4476882, 5031846, 5651092 , 6343310, 7115016, 7976385, 8935579, 10005119, 11194974, 12520080, 13992724, 15630950, 17450052, 19471431, 21713556, 24202683, 26961359, 30020530, 33407828, 37160681, 41312564, 45908028, 50987621, 56604818, 62808959, 69663540, 77227699, 85577988, 94785892, 104941679, 116131637, 128463840, 142041676, 156993486, 173443045, 191543195, 211442652, 233322227, 257358996, 283768506, 312762678, 344595363, 379519230, 417835986, 459845956, 505905568, 556371445, 611665046, 672210867, 738505270, 811050254, 890433030, 977248859, 1072187429, 1175952477, 1289357886, 1413234583, 1548538927, 1696251061, 1857495076, 2033428014, 2225368357, 2434675861, 2662900166, 2911641999, 3182714344, 3477997274, 3799616876, 4149779855, 4530972485, 4945781464, 5397114292, 5888003880, 6421845692, 7002184634, 7632988509, 8318405376, 9063058245, 9871791752, 10749998090, 11703332078, 12738071892, 13860810137, 15078854158, 16399889275, 17832411860, 19385362456, 21068619441, 22892588625, 24868733275, 27009145877, 29327134736, 31836744119, 34553404098, 37493410036, 40674642720, 44116005087, 47838200704, 51863123850, 56214738968, 60918406802, 66001830333, 71494348670, 77427987183, 83836669798, 90757379757, 98229310793, 106295147580, 115000156262, 124393568498, 134527600732, 145459012207, 157248028302, 169960022693, 183664387579, 198436401082, 214355979829, 231509733495, 249989632939, 269895270326, 291332443320, 314415606983, 339266348038, 366016138769, 394804676032, 425782859719, 459111060370, 494962417178, 533520947901, 574985168797, 619566092994, 667491214945, 719002394849, 774360197384, 833841623125, 897744963275, 966387364565, 1040110082159, 1119275966498, 1204275273380, 1295522952337, 1393465026669, 1498575745203, 1611364611335, 1732373407734, 1862183864658, 2001414508773, 2150729207246, 2310833849778, 2482485611429, 2666489577002, 2863708992039, 3075061669592, 3301531256205, 3544163521177, 3804078764196, 4082468034923, 4380606684595, 4699850447252, 5041650499984, 5407549450999, 5799197721420, 6218349577359, 6666881265151, 7146786906654, 7660198431650, 8209381514063, 8796757510589, 9424899542539, 10096556503573, 10814649188730, 11582296944177, 12402813959972, 13279738348157, 14216828814516, 15218096830735, 16287803515328, 17430494993984, 18650999787527, 19954467744264, 21346368125084, 22832532310127, 24419152469477, 26112828924637, 27920569701453, 29849842317738, 31908574577710, 34105211834793, 36448718916146, 38948643106292, 41615117678551, 44458931303737, 47491533568277, 50725111255860, 54172595809308, 57847747827013, 61765167120461, 65940385273208, 70389878883952, 75131171903241, 80182852100147, 85564683745635, 91297628129235, 97403967821515, 103907332035493, 110832833351767, 118207098112427, 126058417724549, 134416785339991, 143314061909179, 152784020140480, 162862528124630, 173587601018365, 184999603395034, 197141310194142, 210058129923108, 223798176461317, 238412514859499, 253955244668924, 270483771821994] For the set of patterns, {[0, 0, 1], [0, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 21, 27, 38, 49, 68, 85, 113, 142, 187, 232, 300, 369, 469, 576, 723, 881, 1096, 1328, 1636, 1973, 2412, 2892, 3515, 4196, 5064, 6021, 7224, 8554, 10214, 12053, 14318, 16840, 19919, 23346, 27508, 32142, 37723, 43954, 51408, 59734, 69643, 80710, 93800, 108441, 125678, 144940, 167527, 192767, 222233, 255179, 293482, 336279, 385879, 441280, 505261, 576717, 658975, 750787, 856192, 973795, 1108410, 1258548, 1429965, 1621012, 1838657, 2081070, 2356568, 2663271, 3011087, 3398038, 3835987, 4322903, 4872886, 5484019, 6173063 , 6938152, 7799319, 8754886, 9828627, 11019347, 12355211, 13835542, 15493865, 17330312, 19384551, 21657986, 24197520, 27006083, 30139296, 33602153, 37460297, 41721602, 46463582, 51697524, 57515143, 63932153, 71056596, 78910093, 87619920, 97214823, 107844878, 119547745, 132499895, 146750389, 162506809, 179831775, 198969572, 219999656, 243208861, 268697677, 296802781, 327649758, 361633885, 398911545, 439945982, 484931261, 534410137, 588621474, 648201387, 713443070, 785090790, 863503438, 949551586, 1043672207, 1146883646, 1259716602, 1383360500 , 1518458528, 1666399647, 1827960228, 2004761849, 2197739636, 2408784504, 2639020752, 2890652922, 3165028221, 3464715991, 3791327710, 4147854842, 4536222126, 4959911196, 5421214762, 5924183356, 6471544071, 7068005259, 7716805786, 8423416520, 9191675556, 10027937451, 10936744553, 11925471753, 12999487518, 14167347153, 15435384222, 16813519369, 18309215739, 19933968342, 21696560277, 23610305415, 25685524500, 27937631022, 30378738859, 33026679661, 35895656196, 39006289211, 42375207667, 46026246265, 49978854632, 54260564576, 58894101949, 63911254718, 69338544800, 75212656317, 81564512323, 88436422092, 95864405351, 103897237175, 112576827891, 121959379738, 132093614976, 143044256287, 154867894702, 167639030161, 181423329474, 196306506223, 212364696278, 229696459983, 248389996855, 268558588161, 290304317830, 313757325105, 339035673076, 366288786902, 395653103874, 427300115790, 461387364827, 498111574838, 537654524720, 580241766711, 626082892738, 675436391599, 728543739498, 785701032245, 847186289997, 913338519829, 984477595547, 1060991480898, 1143247941463, 1231690763381, 1326742501736, 1428910552642, 1538680107229, 1656631030853, 1783320064854, 1919409596461, 2065538075541, 2222461802008, 2390912470900, 2571753234165, 2765822126204, 2974103812446, 3197557558699, 3437306137589, 3694446939124, 3970259666188, 4265998980573, 4583122816720, 4923064843071, 5287485314278, 5678021529338, 6096563346361, 6544979568343, 7025420493977, 7540018021628, 8091217730999, 8681450358484, 9313496166057, 9990125135989, 10714496698892, 11489765816418, 12319521295122, 13207354748806, 14157341061451, 15173566849310, 16260657030975, 17423259166044, 18666620311806, 19996023379100, 21417418894838, 22936809055295, 24560939492420, 26296626408608, 28151513733591, 30133338437244, 32250759013136, 34512553488596, 36928525776719, 39508630522257, 42263964275033, 45205810921151, 48346725322367, 51699492372642, 55278311506834, 59097661965963, 63173597104747, 67522507946374, 72162537088446, 77112231766235, 82392088122689, 88023084416048, 94028367103559, 100431654182757, 107259075648763, 114537435917001, 122296222423095, 130565715325887, 139379178916366, 148770805984145, 158778108123255, 169439680873437, 180797810499042, 192896045092147, 205782036565412, 219504901907232, 234118320912542, 249677670208961, 266243399124829, 283877917944284, 302649275867716, 322627783682661, 343890020011230, 366515166668262, 390589371733476] For the set of patterns, {[0, 0, 1], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 12, 18, 23, 33, 40, 56, 68, 92, 114, 149, 181, 234, 283, 361, 437, 548, 658, 820, 980, 1206, 1438, 1757, 2084, 2531, 2990, 3603, 4247, 5086, 5973, 7119, 8332, 9877, 11534, 13612, 15843, 18626, 21620, 25315, 29321, 34203, 39508, 45949, 52952, 61386, 70594, 81598, 93625, 107940, 123598, 142116, 162424, 186303, 212513, 243226, 276930, 316240, 359461, 409640, 464829, 528701, 598945, 679953, 769124, 871591, 984379, 1113653, 1255929, 1418509, 1597533, 1801499, 2026062, 2281354, 2562352, 2881026, 3231809, 3628666, 4065420, 4558610 , 5101185, 5712577, 6385149, 7141522, 7973293, 8907164, 9933692, 11084205, 12348608, 13763301, 15317442, 17053764, 18960394, 21087323, 23422160, 26022957, 28876721, 32051473, 35533442, 39401962, 43643300, 48349392, 53506712, 59222669, 65483700, 72414878, 80003942, 88395829, 97580032, 107725383, 118823384, 131070102, 144461134, 159223408, 175357597, 193127519, 212539613, 233899975, 257224289, 282866384, 310853246, 341595301, 375132874, 411941340, 452079503, 496096393, 544073201, 596645927, 653922185, 716637407, 784934120, 859660679, 941001466, 1029937576, 1126702584, 1232429560, 1347414284, 1472962906, 1609445752, 1758370862, 1920196033, 2096660343, 2288330131, 2497207933, 2723988321, 2970980416, 3239028956, 3530794007, 3847303448, 4191617066, 4564978688, 4970911403, 5410911360, 5889031948, 6407072550, 6969691153, 7579042466, 8240483446, 8956583555, 9733498503, 10574291237, 11486027819, 12472348144, 13541368248, 14697397929, 15949752848, 17303534007, 18769424259, 20353446059, 22067854270, 23919739907, 25923151953, 28086435216, 30425683242, 32950695250, 35679911356, 38624812117, 41806514170, 45238461501, 48944817367, 52941297118, 57255553142, 61905921660, 66924031826, 72331263834, 78163771663, 84446447272, 91220618177, 98515218927, 106377465807, 114840972734, 123959650484 , 133772497590, 144341066858, 155710540654, 167951163085, 181115247792, 195282912543, 210514659762, 226901857531, 244514393529, 263456417270, 283808609107, 305689626752, 329192512185, 354452431587, 381576566807, 410718821013, 442002592252, 475603028967, 511662068221, 550378997080, 591916918927, 636502490767, 684323027909, 735636194994, 790656930189, 849678082378, 912946074527, 980793603411, 1053503027298, 1131452141422, 1214964231423, 1304468200152, 1400333895631, 1503048046038, 1613033534045, 1730842470282, 1856958034597, 1992006333812, 2136539041219, 2291265896033, 2456816437221, 2633994875592, 2823519128789, 3026300199553, 3243156236874, 3475118820289, 3723119847471, 3988326960097, 4271800963227, 4574863121211, 4898720222981, 5244866810805, 5614675056965, 6009834847858, 6431905500164, 6882797208813, 7364280923371, 7878515072534, 8427509997469, 9013703692358, 9639377004303, 10307282876684, 11020007633862, 11780658740578, 12592167545307, 13458040397923, 14381597992689, 15366795554592, 16417392885639, 17537849980226, 18732421907682, 20006136052932, 21363805629104, 22811095860871, 24353448643394, 25997245771602, 27748637281707, 29614809652204, 31602709979601, 33720428409843, 35975808739098, 38377955354365, 40935720788303, 43659347325801, 46558821519840, 49645662261532, 52931130403237, 56428176275895, 60149492507644, 64109633894150, 68322900814569, 72805646370566, 77573975496225, 82646255853940, 88040617566461, 93777684312887, 99877857775592, 106364287788248, 113259922887719, 120590740252011, 128382543461301, 136664473075983, 145465531572520, 154818398421221] For the set of patterns, {[0, 0, 1], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 20, 27, 38, 48, 65, 83, 110, 140, 180, 226, 288, 357, 451, 558, 694, 849, 1048, 1275, 1562, 1892, 2299, 2767, 3345, 4003, 4806, 5730, 6846, 8130, 9667, 11428, 13529, 15938, 18787, 22052, 25904, 30306, 35474, 41383 , 48276, 56147, 65302, 75732, 87835, 101607, 117510, 135596, 156442, 180098, 207264, 238069, 273351, 313307, 358966, 410578, 469433, 535900, 611501, 696781, 793591, 902626, 1026167, 1165159, 1322337, 1498964, 1698355, 1922113, 2174318, 2457069, 2775196, 3131442, 3531693, 3979373, 4481630, 5042791, 5671456, 6373163 , 7158240, 8033552, 9011625, 10101070, 11316852, 12669755, 14177831, 15854284, 17720874, 19793949, 22099539, 24657915, 27500215, 30651160, 34148241, 38021782, 42316470, 47069334, 52333925, 58155284, 64597419, 71714994, 79584264, 88271773, 97868391, 108454327, 120138151, 133016694, 147218883, 162861578, 180098161, 199069031, 219956460, 242929014, 268202909, 295980468, 326517980, 360057063, 396901786, 437341018, 481734284, 530426381, 583842354, 642392823, 706580361, 776893198, 853924340, 938254234, 1030582271, 1131596540, 1242121714, 1362973256 , 1495121434, 1639531633, 1797345421, 1969703566, 2157948384, 2363426181, 2587713018, 2832397483, 3099328936, 3390377774, 3707712820, 4053535279, 4430385605, 4840851521, 5287906871, 5774589698, 6304379445, 6880839506, 7508035781, 8190145592, 8931917139, 9738240157, 10614656799, 11566886779, 12601392251, 13724857737, 14944813025, 16269062561, 17706375329, 19265855151, 20957703468, 22792533382, 24782206525, 26939081088, 29276939797, 31810162855, 34554752577, 37527429915, 40746760732, 44232170454, 48005187316, 52088360791, 56506633511, 61286165104, 66455837186, 72045968908, 78089981817, 84622994118, 91683653158, 99312607064, 107554516303, 116456394233, 126069822940, 136449138472, 147653872862, 159746787055, 172796549596, 186875598187, 202063091917, 218442584329, 236105268934, 255147460502, 275674153559, 297796296761, 321634709654, 347317116348, 374982455802, 404777680188, 436862477548, 471405809822, 508591107880, 548612526194, 591680648217, 638018446506, 687867538012, 741483833314, 799144414475, 861142827363, 927796637074, 999442374300, 1076443811304, 1159186530446, 1248087015913, 1343586807054, 1446162482386, 1556319387479, 1674602577850, 1801590104589, 1937905031808, 2084208223421, 2241211533585, 2409670115305, 2590396869086, 2784254225616, 2992170011774, 3215128669952, 3454188676640, 3710473190868, 3985189138526, 4279617283986, 4595133177062, 4933196582559, 5295374464727, 5683329802428, 6098846778036, 6543818941382, 7020276861741, 7530375601961, 8076425065578, 8660876804687, 9286357272491, 9955653978533, 10671751986344, 11437819345809, 12257247143890, 13133634288487, 14070831425778, 15072925067334, 16144285785512, 17289551685086, 18513681304116, 19821936506286, 21219940470392, 22713660068550, 24309469534688, 26014132303320, 27834870899010, 29779348411410, 31855745154752, 34072739864819, 36439593846454, 38966131985524, 41662835140451, 44540821162782, 47611946250257, 50888786189613, 54384747678051, 58114049902289, 62091846767019, 66334209202819, 70858259319529, 75682153743707, 80825230933589, 86307995834847, 92152281720438, 98381236660516, 105019501186358, 112093197112341, 119630122737712, 127659744471028, 136213411265836, 145324349878198, 155027900376336, 165361515763654, 176365020752240, 188080616538275, 200553165240456, 213830200940041, 227962242119815, 243002810192865, 259008772949889, 276040371743736, 294161598983677, 313440235637697, 333948266119832] For the set of patterns, {[0, 0, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 13, 20, 27, 37, 46, 64, 81, 109, 134, 177, 218, 282, 347, 442, 539, 677, 820, 1022, 1234, 1526, 1830, 2238, 2676, 3255, 3869, 4672, 5544, 6660, 7863, 9388, 11051, 13138, 15410, 18230, 21324, 25136, 29312, 34403, 40015 , 46808, 54285, 63287, 73227, 85112, 98233, 113842, 131109, 151528, 174115, 200702, 230145, 264661, 302874, 347475, 396890, 454359, 518039, 591779, 673515, 767891, 872468, 992808, 1126165, 1279227, 1448765, 1642773, 1857682, 2103020, 2374671, 2683931, 3026301, 3415279, 3845692, 4333536, 4873195, 5483692, 6158708 , 6920742, 7762979, 8712122, 9760700, 10940138, 12242504, 13705097, 15319353, 17129106, 19125583, 21360608, 23824904, 26579383, 29614979, 33003518, 36735835, 40896258, 45476488, 50575727, 56186459, 62424954, 69285754, 76905337, 85280457, 94570998, 104777381, 116087088, 128505129, 142250766, 157335429, 174015954, 192311934, 212523117, 234680009, 259133218, 285926707, 315469309, 347822411, 383463739, 422475876, 465415239, 512391456, 564053862, 620545005, 682620272, 750463347, 824954517, 906327006, 995604281, 1093080453, 1199946778, 1316571054, 1444336770, 1583701190, 1736272783, 1902616199, 2084597843, 2282911905, 2499725980, 2735889006, 2993914167, 3274835784, 3581569146, 3915370218, 4279615528, 4675823914, 5107908414, 5577701111, 6089730317, 6646198168, 7252347430, 7910819095, 8627674846, 9406073187, 10253024758, 11172299468, 12171995556, 13256601387, 14435474426, 15713948333, 17102822908, 18608423161, 20243215693, 22014688114, 23937216625, 26019648453, 28278562625, 30724397194, 33376254608, 36246427496, 39356924589, 42722204462, 46367603228, 50310099424, 54578856042, 59193785989, 64188433457, 69586117671, 75425415117, 81733603756, 88555017341, 95921519675, 103884049147, 112479790362, 121767232110, 131789710715, 142614368643, 154291663830, 166898626655, 180493934148, 195165936313, 210982809091, 228045827118, 246434111779, 266263717533, 287626393375, 310655058326, 335455989907, 362181373251, 390954216724, 421948675454, 455306978630, 491228353585, 529877132994, 571481113507, 616229981855, 664384110260, 716162298434, 771862007500, 831735388421, 896122155162, 965312695767, 1039694795550, 1119602594598, 1205478590780, 1297707013379, 1396792563930, 1503176714905, 1617434902793, 1740074044462, 1871749938202, 2013044207084, 2164703949931, 2327396089674, 2501971377152, 2689193995390, 2890032352775, 3105361554005, 3336283485511, 3583799574980, 3849163102152, 4133519397785, 4438293359475, 4764794025440, 5114640790985, 5489328972716, 5890698278635, 6320455722936, 6780690504841, 7273350259176, 7800806576993, 8365280271451, 8969462486458, 9615884205025, 10307597990044, 11047486627825, 11839011353703, 12685453976107, 13590737613372, 14558596233208, 15593474824817, 16699619694387, 17882065235646, 19145637786272, 20496037195606, 21938746403482, 23480216296055, 25126672501097, 26885413236518, 28763504071471, 30769198859783, 32910512404046, 35196775948799, 37637076871005, 40241960661267, 43021725794715, 45988285754574, 49153306288433, 52530241575112, 56132299932461, 59974670126792, 64072300467132, 68442331967546, 73101674426216, 78069665279525, 83365425022037, 89010761471403, 95027285258625, 101439581695850, 108272065653655, 115552444306313, 123308288786115, 131570813918734, 140371142423528, 149744429096254, 159725791062768, 170354807082044, 181671085555235, 193719171265225, 206543720099004, 220194849334441, 234722885968210, 250184198576209, 266635482976277, 284140118042512, 302761950067253, 322572217218461] For the set of patterns, {[0, 0, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 21, 28, 38, 49, 68, 87, 114, 145, 189, 237, 304, 377, 478, 590, 738, 904, 1121, 1365, 1678, 2031, 2479, 2986, 3621, 4335, 5225, 6235, 7469, 8871, 10581, 12523, 14862, 17520, 20710, 24333, 28649, 33546, 39354, 45952, 53723, 62533, 72890, 84621, 98333, 113857, 131940, 152402, 176139, 202969, 234000, 269053, 309453, 355033, 407441, 466514, 534228, 610485, 697675, 795781, 907684, 1033438, 1176573, 1337303, 1519830, 1724552, 1956617, 2216673, 2510853, 2840185, 3212081, 3628036, 4096934, 4620820, 5210461, 5868689, 6608322 , 7433171, 8358713, 9389991, 10545443, 11831706, 13270921, 14871677, 16660441, 18648154, 20866532, 23329676, 26075246, 29121065, 32512255, 36271269, 40451770, 45081819, 50225524, 55917901, 62235138, 69220610, 76965081, 85522379, 95000080, 105464415, 117043498, 129818553, 143941470, 159511675, 176709394, 195656086, 216565169, 239584341, 264966440, 292891046, 323657068, 357481723, 394718824, 435630964, 480635820, 530050011, 584366676, 643967199, 709433091, 781221938, 860019631, 946375117, 1041095878, 1144838418, 1258553753, 1383026522, 1519374635, 1668533932, 1831818557, 2010343304, 2205651444, 2419067806, 2652404178, 2907234280, 3185682249, 3489613557, 3821518251, 4183605767, 4578791572, 5009688101, 5479707791, 5991936579, 6550365186, 7158632782, 7821403698, 8542967057, 9328769194, 10183857021, 11114587663, 12126894937, 13228192422, 14425447092, 15727300212, 17141925359, 18679386871, 20349261404, 22163263711, 24132607189, 26270916824, 28591305325, 31109612416, 33841160036, 36804348052, 40017060878, 43500659998, 47276005377, 51367879586, 55800587659, 60602864403, 65803009003, 71434316576, 77529702875, 84127726469, 91266646037, 98991084561, 107345471561, 116381418175, 126150483656, 136712325332, 148126722774, 160462594401, 173789205070, 188186122749, 203733534656, 220523253015, 238648049595, 258213799385, 279327750269, 302111926242, 326690228264, 353203213282, 381793911685, 412624137547, 445858903201, 481684387470, 520290824617, 561892311471, 606708025566, 654984030006, 706972675115, 762956612792, 823226210246, 888105975933, 957929799098, 1033070042554, 1113910422081, 1200877984487, 1294413422681, 1395006247341, 1503162300445, 1619442401963, 1744426816081, 1878757733309, 2023100419564, 2178189869952, 2344788350881, 2523736648906, 2715907705744, 2922262849126, 3143801184622, 3381621329720, 3636866181628, 3910790640352, 4204701366813, 4520031082462, 4858272904213, 5221061796305, 5610103019307, 6027261442180, 6474483630308, 6953895698532, 7467718493865, 8018374852446, 8608397304964, 9240545552016, 9917706090263, 10643020885291, 11419778288235, 12251553884207, 13142091968820, 14095459769495, 15115918745479, 16208093335819, 17376831256045, 18627388193222, 19965276243918, 21396465924295, 22927221838412, 24564323642390, 26314887970597, 28186610029613, 30187570675631, 32326500616254, 34612571544562, 37055684895474, 39666245821136, 42455478824671, 45435183323441, 48618078494333, 52017539045282, 55647972011800, 59524531306396, 63663529293334, 68082128500370, 72798791220899, 77832946840931, 83205482734314, 88938385441327, 95055276722452, 101581026781833, 108542339431767, 115967335365020, 123886190986869, 132330689734421, 141334919283781, 150934788681629, 161168789290067, 172077475584939, 183704295361612, 196095031727584, 209298709002524, 223366993415173, 238355181349314, 254321556042256, 271328465688401, 289441633513583, 308731333609038, 329271651403950, 351141766145622, 374425158942106, 399211011232688, 425593357127839, 453672608538492] For the set of patterns, {[0, 1, 0], [0, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 14, 20, 26, 35, 47, 63, 80, 104, 133, 171, 216, 273, 340, 426, 527, 651, 803, 988, 1202, 1466, 1777, 2152, 2594, 3125, 3748, 4491, 5355, 6380, 7581, 8996, 10636, 12571, 14818, 17439, 20473, 24012, 28097, 32843, 38304 , 44629, 51913, 60316, 69941, 81031, 93731, 108304, 124950, 144018, 165767, 190625, 218901, 251152, 287820, 329529, 376814, 430542, 491392, 560358, 638328, 726574, 826202, 938754, 1065615, 1208715, 1369827, 1551244, 1755144, 1984483, 2241942, 2531028, 2855148, 3218633, 3625665, 4081517, 4591327, 5161600, 5798714 , 6510422, 7304546, 8190756, 9178563, 10279510, 11505367, 12870227, 14388348, 16076764, 17952842, 20037306, 22351324, 24919607, 27767860, 30926272, 34425812, 38302537, 42594101, 47344055, 52597687, 58407162, 64827035, 71920174, 79752322, 88398260, 97936982, 108458616, 120057621, 132841168, 146922792, 162430769, 179500568, 198284891, 218945597, 241664970, 266636105, 294075029, 324211932, 357304508, 393626062, 433481668, 477196793, 525133510, 577677581, 635257564, 698330892, 767405272, 843022278, 925780810, 1016321758, 1115353642, 1223632846, 1341993948, 1471330734, 1612627323, 1766936650, 1935416826, 2119308200, 2319973930, 2538873267, 2777606187, 3037888718, 3321601270, 3630757494, 3967561537, 4334377638, 4733789628, 5168567274, 5641735408, 6156538382, 6716516171, 7325464287, 7987518306, 8707116575, 9489092030, 10338626204, 11261356944, 12263334112, 13351132982, 14531806024, 15813013308, 17202973156, 18710605726, 20345477585, 22117962227, 24039190759, 26121226378, 28377003623, 30820531794, 33466839378, 36332189428, 39434020928, 42791196008, 46423942783, 50354127358, 54605190762, 59202454848, 64173071737, 69546356615, 75353727099, 81629087532, 88408780302, 95731998026, 103640737526, 112180270449, 121399105644 , 131349508625, 142087464960, 153673263846, 166171489309, 179651657875, 194188207309, 209861228744, 226756484971, 244966202911, 264589110809, 285731339559, 308506489968, 333036628423, 359452375393, 387894025594, 418511698027, 451466564931, 486931025924, 525090111418, 566141726297, 610298181434, 657786499117, 708850147964, 763749429519, 822763399016, 886190327194, 954349859410, 1027583613013, 1106257558256, 1190762706659, 1281517816612, 1378970242923, 1483598907269, 1595915310174, 1716466884790, 1845838205214, 1984654708367, 2133584102424, 2293340549926, 2464686368377, 2648436656508, 2845461248812, 3056689951419, 3283114854383, 3525796107035, 3785864614340, 4064528543676, 4363076463686, 4682884578416, 5025420344472, 5392250591870, 5785045767094, 6205588936236, 6655780635407, 7137649026934, 7653355521725, 8205206023656, 8795657402290, 9427330135761, 10103015751618, 10825690893805, 11598525829186, 12424900225170, 13308412967670, 14252899680824, 15262443894334, 16341396759876, 17494389844308, 18726357003762, 20042548992588, 21448558013122, 22950334369036, 24554213796145, 26266936391811, 28095677233617, 30048067998253, 32132231002273, 34356803693140, 36730976865092, 39264522497688, 41967836214985, 44851968888299, 47928674199298, 51210444450449, 54710563533563, 58443147440006, 62423203525903, 66666676455922, 71190514129861, 76012719539846, 81152424621061, 86629948878509, 92466881492912, 98686147557370, 105312099908710 , 112370593835737, 119889089331582, 127896735289527, 136424483756267, 145505184930405, 155173714259313, 165467079325828, 176424561955086, 188087838535015, 200501138035354, 213711377422254, 227768338116445, 242724818178752, 258636828706117, 275563764783529, 293568624617996] For the set of patterns, {[0, 1, 0], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 9, 13, 18, 23, 31, 41, 56, 70, 90, 115, 147, 184, 233, 290, 361 , 443, 548, 672, 825, 999, 1217, 1474, 1778, 2133, 2566, 3070, 3669, 4362, 5190 , 6152, 7287, 8592, 10133, 11921, 14001, 16397, 19202, 22427, 26169, 30458, 35429, 41137, 47713, 55221, 63878, 73768, 85096, 98007, 112814, 129643, 148846, 170661, 195529, 223741, 255792, 292061, 333259, 379828, 432539, 492040, 559357, 635200, 720783, 817116, 925690, 1047743, 1185027, 1339101, 1512283, 1706410, 1924129, 2167933, 2441154, 2746662, 3088439, 3470231, 3896924, 4373042, 4904380 , 5496516, 6156791, 6891885, 7710329, 8620668, 9633375, 10758493, 12008631, 13396287, 14936721, 16644950, 18539144, 20637676, 22962802, 25536401, 28384710, 31534864, 35018558, 38867761, 43120513, 47815761, 52999053, 58716938, 65023496, 71974977, 79636524, 88074836, 97366984, 107593906, 118847654, 131223631, 144831611, 159786249, 176217830, 194262599, 214074710, 235816922, 259672939, 285834861, 314519651, 345957122, 380404142, 418131215, 459442520, 504659722, 554141602, 608267929, 667461433, 732171792, 802898626, 880170287, 964574316, 1056736561, 1157347991, 1267142767, 1386933949, 1517587197, 1660056622, 1815358341, 1984611061, 2169009390, 2369866663, 2588580369, 2826687497, 3085830692, 3367807609, 3674537000, 4008122462, 4370811193, 4765059746, 5193492101, 5658974853, 6164574732, 6713637444, 7309735224, 7956765828, 8658900933, 9420677233, 10246946995, 11142992906, 12114465471, 13167504839, 14308678655, 15545119777, 16884464362, 18334995618, 19905570921, 21605799106, 23445967550, 25437211842, 27591448329, 29921583682, 32441427972, 35165919043, 38111040067, 41294070583, 44733508098, 48449331566, 52462911333, 56797330183, 61477291588, 66529438468, 71982276149, 77866555434, 84215170260, 91063570748, 98449676456, 106414336041, 115001251483, 124257466869, 134233283245, 144982847019, 156564064392, 169039201083, 182474833582, 196942551927, 212518885261, 229286066022, 247331992336, 266751079412, 287644247155, 310119837518, 334293606847, 360289812772, 388241219541, 418290226031, 450588955664, 485300557116, 522599278291, 562671894098, 605717858124, 651950898420, 701599231636, 754907294347, 812136006648, 873564791622, 939491894419, 1010236513166, 1086139293369, 1167564761885, 1254901841392, 1348566544328, 1449002653216, 1556684730209, 1672118951763, 1795846388629, 1928443999577, 2070528411687, 2222757067789, 2385832277255, 2560502712843, 2747568008922, 2947880382418, 3162349742627, 3391945671807, 3637703123276, 3900724759375, 4182187189333, 4483343702269, 4805531398086, 5150174285351, 5518791020600, 5912998701233, 6334521598565, 6785195336887, 7266976612077, 7781948135746, 8332329458795, 8920482691891, 9548924411754, 10220332254741, 10937558447041, 11703637224572, 12521799641447, 13395482371858, 14328344333686, 15324276472469, 16387420272687, 17522179110098, 18733238865359, 20025580892279, 21404504784779, 22875643184227, 24444987513713, 26118904595195, 27904164960283, 29807962196253, 31837944606715, 34002236787280, 36309474905462, 38768831407027, 41390054305543, 44183495175783, 47160152652094, 50331704199941, 53710555046601, 57309873776154, 61143646337764, 65226716955980, 69574848391926, 74204767583006, 79134232811113, 84382085505377, 89968325013598, 95914166995194, 102242126286140 , 108976082870565, 116141374736850, 123764871662004, 131875077939408, 140502216365658, 149678342683164, 159437439230197, 169815542447899, 180850848538140, 192583855275456] For the set of patterns, {[0, 1, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 14, 19, 27, 36, 48, 63, 82, 107, 139, 177, 225, 284, 358, 447, 561, 692, 856, 1054, 1293, 1579, 1926, 2338, 2832, 3420, 4118, 4942, 5926, 7080, 8449, 10053, 11938, 14143, 16737, 19751, 23276, 27379, 32150, 37692, 44129, 51566, 60172, 70114, 81585, 94793, 110009, 127475, 147545, 170568, 196940, 227118, 261631, 301030, 346003, 397279, 455657, 522079, 597625, 683404, 780779, 891197, 1016279, 1157893, 1318122, 1499207, 1703740, 1934609, 2194958, 2488405, 2818927, 3190868, 3609207, 4079443, 4607580, 5200448, 5865532, 6611110 , 7446484, 8381981, 9428786, 10599605, 11908365, 13370433, 15002940, 16824819, 18856724, 21121838, 23645632, 26456093, 29584268, 33064420, 36933967, 41234734, 46012366, 51317182, 57204602, 63735853, 70977671, 79004199, 87896414, 97743209, 108642520, 120702033, 134039135, 148783590, 165077027, 183074904, 202947660, 224882458, 249083062, 275773962, 305200058, 337629481, 373355695, 412699816, 456011646, 503675218, 556109059, 613770367, 677158480, 746818975, 823345476, 907388055, 999654043, 1100914842, 1212011455, 1333861238, 1467461448, 1613900857, 1774363208, 1950137088, 2142625501, 2353355711, 2583986262, 2836324030, 3112330974, 3414140203, 3744070108, 4104640246, 4498583550, 4928871870, 5398728960, 5911653817, 6471444095, 7082220211, 7748447183, 8474971982, 9267046202, 10130361741, 11071087135, 12095906590, 13212055358, 14427375193, 15750352160, 17190171559, 18756775662, 20460923165, 22314247545, 24329338076, 26519803315, 28900355044, 31486898261, 34296622534, 37348093767, 40661376739, 44258137233, 48161770444, 52397538739, 56992711740, 61976711868, 67381296859, 73240723562, 79591940789, 86474800741, 93932273381, 102010674155, 110759937569, 120233870516, 130490446296, 141592125092, 153606183275, 166605063303, 180666781886, 195875321628, 212321073915, 230101328137, 249320768856, 270092010607, 292536205379, 316783643581, 342974423363, 371259184535, 401799861029, 434770488265, 470358110396, 508763694440, 550203133841, 594908347878, 643128408092, 695130759192, 751202566809, 811652096985, 876810212902, 947032012377, 1022698516130, 1104218494359, 1192030468241, 1286604770950, 1388445774757, 1498094321947, 1616130242296, 1743175073210, 1879895011024, 2027003982884, 2185266944775, 2355503480020, 2538591529474, 2735471418491, 2947150202273, 3174706213318, 3419293938910, 3682149311510, 3964595215072, 4268047415991, 4594020944282, 4944136802273, 5320129127548, 5723852952175, 6157292286620, 6622568829199, 7121951303840, 7657865300352, 8232903761602, 8849838302986, 9511631056462, 10221447396867, 10982669555473, 11798910986746, 12674031658688, 13612154528909, 14617682809449, 15695318497479, 16850082137205, 18087333716513, 19412794885090, 20832572847341, 22353185435592, 23981587960447, 25725201824050, 27591944791380, 29590263168382, 31729166312505, 34018262900048, 36467799706342, 39088702881140, 41892621665351, 44891974793906, 48100000178859, 51530807172409, 55199432391778, 59121899082705, 63315279981148, 67797764018151, 72588727590683, 77708809640872, 83179991737731, 89025683154421, 95270810958871, 101941915546461, 109067252604663, 116676900578769, 124802875164889, 133479250830723, 142742289497515, 152630576955250, 163185168246383, 174449740996158, 186470758537020, 199297642961933, 212982958350061, 227582604939588, 243156025782915, 259766424757581, 277480998299973, 296371181089517, 316512906145562, 337986880311150, 360878877108765, 385280045780091, 411287239477659, 439003363069381, 468537741175017, 500006507828370, 533533020274072, 569248295753736] For the set of patterns, {[0, 1, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 13, 19, 26, 34, 44, 60, 77, 100, 127, 162, 204, 259, 323, 403, 499, 616, 753, 929, 1133, 1379, 1669, 2020, 2433, 2929, 3504, 4196, 5009, 5966, 7075, 8393, 9920, 11714, 13794, 16229, 19044, 22328, 26109, 30505, 35568, 41421, 48137, 55911, 64814, 75057, 86776, 100232, 115596, 133200, 153234, 176142, 202215, 231928, 265650, 304056, 347596, 397028, 452974, 516391, 588066, 669183, 760670, 864044, 980549, 1111917, 1259696, 1426160, 1613228, 1823548, 2059547, 2324532, 2621536, 2954603, 3327367, 3744804, 4211593, 4733615, 5316546 , 5967773, 6694251, 7504773, 8407943, 9414501, 10534963, 11782314, 13169283, 14711696, 16425275, 18328803, 20441269, 22785792, 25385390, 28267554, 31460268, 34996734, 38910856, 43242513, 48032333, 53328311, 59179876, 65644131, 72780212, 80657112, 89345919, 98928609, 109490545, 121129894, 133949066, 148064987, 163599633, 180692651, 199490503, 220158708, 242871289, 267826052, 295230616, 325319014, 358338191, 394566111, 434296583, 477858986, 525601155, 577913296, 635208964, 697948692, 766621074, 841771605, 923978711, 1013884983, 1112173638, 1219602821, 1336979494, 1465196674, 1605204160, 1758053335, 1924864875, 2106873704, 2305396487, 2521885783, 2757890322, 3015113003, 3295371968, 3600664851, 3933125421, 4295093982, 4689069247, 5117791403, 5584189475, 6091466069, 6643045339, 7242672939, 7894353152, 8602456770, 9371659308, 10207061620, 11114121561, 12098785466, 13167413385, 14326932400, 15584757117, 16948947970, 18428131744, 20031687278, 21769652028, 23652922707, 25693163632, 27903031421, 30296075708, 32886984445, 35691477339, 38726588522, 42010555193, 45563113961, 49405391505, 53560249810, 58052159110, 62907571689, 68154800906, 73824440156, 79949236242, 86564546542, 93708205912, 101421050631, 109746785269, 118732539424, 128428741064, 138889759316, 150173762805, 162343418106, 175465764887, 189612998432, 204862347830, 221296932855, 239005643930, 258084119615, 278634641167, 300767180935, 324599320521, 350257453205, 377876702168, 407602231343, 439589206825, 474004265680, 511025507996, 550844112577, 593664356066, 639705444941, 689201590380, 742403993574, 799580987896, 861020297503, 927029225123, 997937127220, 1074095708203, 1155881794493, 1243697725478, 1337974412691, 1439171830197, 1547782471937, 1664331993811, 1789382981888, 1923535766114, 2067432691786, 2221759091431, 2387247981500, 2564681281849, 2754895079552, 2958781101322, 3177292532571, 3411445760435, 3662326927037, 3931094036234, 4218984139436, 4527315846335, 4857497437577, 5211029791754, 5589515335719, 5994661524457, 6428290864833, 6892344996270, 7388895793928, 7920150090979, 8488462149631, 9096339209491, 9746455223536, 10441657299714, 11184981158921, 11979658553207, 12829134368525, 13737075239200, 14707388679139, 15744233026405, 16852038664859, 18035519411780, 19299696304943, 20649910753569, 22091850823602, 23631566310205, 25275498246166, 27030496114903, 28903850546733, 30903313049656, 33037132550213, 35314077954383, 37743478721814, 40335250496609, 43099940506146, 46048756866495, 49193618862023, 52547190248213, 56122935561517, 59935157929579, 63999061539039, 68330794610825, 72947519135749, 77867459671803, 83109980819077, 88695642362132, 94646285829193, 100985097086492, 107736702316013, 114927238743050, 122584461913849, 130737825618440, 139418600968971, 148659966693511, 158497141925134, 168967488186564, 180110656948204, 191968704407546, 204586256081348, 218010636399199, 232292051327035, 247483734180506, 263642149383620] For the set of patterns, {[0, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 14, 20, 27, 35, 47, 64, 83, 106, 138, 176, 224, 283, 355, 446, 555, 686, 848, 1045, 1281, 1560, 1903, 2311, 2796, 3371, 4058, 4875, 5838, 6967, 8307, 9885, 11730, 13885, 16420, 19378, 22820, 26822, 31484, 36897, 43166 , 50405, 58795, 68485, 79642, 92482, 107269, 124262, 143750, 166075, 191665, 220942, 254390, 292542, 336091, 385736, 442209, 506421, 579430, 662329, 756344, 862867, 983558, 1120154, 1274564, 1448990, 1645970, 1868241, 2118744, 2400912, 2718657, 3076122, 3477942, 3929340, 4436220, 5005021, 5642742, 6357342, 7157771 , 8053756, 9055915, 10176245, 11428198, 12826338, 14386684, 16127208, 18067850, 20230463, 22638896, 25319795, 28302808, 31620216, 35307354, 39403614, 43952547, 49001697, 54603068, 60814437, 67699428, 75327671, 83775230, 93126135, 103473146 , 114917419, 127569374, 141551047, 156996402, 174051765, 192876730, 213647128, 236555791, 261813068, 289648454, 320313889, 354085579, 391264554, 432178594, 477187588, 526684857, 581098822, 640896189, 706587704, 778731229, 857933965, 944856599, 1040221224, 1144815344, 1259495673, 1385193274, 1522924577, 1673796767, 1839012654, 2019879573, 2217821797, 2434388997, 2671264274, 2930274248, 3213407189, 3522823990, 3860869261, 4230086030, 4633238576, 5073328662, 5553609713, 6077608576, 6649154554, 7272400583, 7951846167, 8692363633, 9499237622, 10378195242, 11335434830, 12377664589, 13512152598, 14746767864, 16090021029, 17551115305, 19140013028, 20867489800, 22745192157, 24785705008, 27002637207, 29410698856, 32025775335, 34865019315, 37946964888, 41291627247, 44920606623, 48857209912, 53126598937, 57755926175, 62774472975, 68213812996, 74108004178, 80493772411, 87410695958, 94901420060, 103011913653, 111791707691, 121294144086, 131576663013, 142701131542, 154734166190, 167747461745, 181818169629, 197029329404, 213470293108, 231237164338, 250433292520, 271169840269, 293566341281, 317751277378, 343862737049, 372049144837, 402469999862, 435296640607, 470713098548, 508917057059, 550120815578, 594552294519, 642456155723, 694095044604, 749750856617, 809726049127, 874345110629, 943956170190, 1018932645431, 1099674972502, 1186612505306, 1280205607534, 1380947806059, 1489368034293, 1606033114365, 1731550458616, 1866570867377, 2011791455704, 2167958866600, 2335872769654, 2516389481991, 2710425778713, 2918963050179, 3143051808772, 3383816396089, 3642459901458, 3920269542982, 4218622484654, 4538991896874, 4882953339355, 5252191692079, 5648508638803, 6073830490870, 6530216417292, 7019867379979, 7545135734581, 8108535315758, 8712752035944, 9360655356905, 10055310635493, 10799992052616, 11598196256102, 12453657091198, 13370361386524, 14352565568654, 15404813156562, 16531953630203, 17739162634073, 19031963239040, 20416248372195, 21898304927529, 23484839591603, 25183006018355, 27000433496816, 28945257779090, 31026153975835, 33252371258595, 35633769480476, 38180858435580, 40904839797078, 43817651314990, 46932013495393, 50261479592373, 53820488920276, 57624423113107, 61689665501546, 66033664682422, 70675002213829, 75633464060646, 80930116100829, 86587384745824, 92629142815869, 99080800194540, 105969399566727, 113323718650787, 121174378922304, 129553960444271, 138497123170529, 148040736298801, 158224015806314, 169088669659681, 180679051294753, 193042323083982, 206228630009746, 220291283159045, 235286953514966, 251275878299508, 268322080070454, 286493598099627, 305862732902644, 326506306272282, 348505937268675, 371948333723883, 396925600226940, 423535565486752, 451882129496311, 482075630311192, 514233231481997] For the set of patterns, {[0, 1, 1], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 13, 19, 23, 33, 43, 59, 71, 96, 119, 158, 192, 248, 303, 385, 466, 587, 712, 884, 1058, 1308, 1563, 1911, 2275, 2769, 3284, 3959, 4675, 5613, 6611, 7884, 9255, 10999, 12872, 15210, 17748, 20900, 24320, 28514, 33087, 38682, 44791, 52161, 60232, 69957, 80611, 93320, 107287, 123901, 142149, 163706 , 187448, 215396, 246151, 282136, 321837, 368145, 419180, 478438, 543865, 619583, 703112, 799453, 905830, 1028156, 1163134, 1317864, 1488713, 1684052, 1899606, 2145389, 2416732, 2725352, 3065859, 3452293, 3878695, 4361553, 4894009 , 5495718, 6159260, 6907639, 7732442, 8660940, 9684172, 10833968, 12100344, 13521020, 15085417, 16837602, 18765887, 20922325, 23294902, 25944326, 28857553, 32106223, 35677326, 39654124, 44023096, 48882350, 54218910, 60146823, 66653433, 73872715, 81793629, 90571868, 100197980, 110854745, 122535946, 135453675, 149605797, 165240665, 182362144, 201258230, 221940435, 244745307, 269694694, 297178929, 327232534, 360311066, 396465623, 436224098, 479658561, 527383969, 579498394, 636714049, 699161533, 767669320, 842407853, 924336087, 1013673518, 1111534512, 1218197979, 1334952758, 1462151025, 1601288472, 1752804324, 1918427733, 2098704907, 2295639659, 2509905223, 2743816621, 2998200863, 3275738015, 3577437065, 3906392101, 4263831471, 4653333637, 5076384964, 5537113885, 6037316365, 6581762163, 7172611066, 7815360909, 8512604907, 9270689528, 10092715353, 10985992247, 11954223974, 13005840595, 14145247745, 15382149117, 16721783057, 18175329133, 19748992838, 21455633413, 23302599112, 25304690849, 27470581244, 29817282423, 32355027225, 35103377950, 38074370779, 41290475731, 44765845842, 48526296535, 52588426270, 56981865028, 61726071009, 66855056120, 72391578660, 78374645360, 84830864034, 91804971128, 99328007364, 107451241305, 116210871081, 125665646921, 135857700277, 146854307351, 158704483480, 171485258699, 185253559166, 200097525192, 216083241937, 233311543617, 251859025451, 271840977483, 293346136593, 316506288349, 341424088130, 368250098527, 397103018296, 428154815762, 461542560120, 497462570313, 536073055376, 577598062647, 622219979162, 670194379173, 721731421188, 777122544887, 836609639873, 900524900969, 969146597088, 1042853248347, 1121964646954, 1206911914823, 1298062381753, 1395906905057, 1500867015025, 1613501354583, 1734293413255, 1863878747133, 2002811417658, 2151814198531, 2311521707661, 2482755605710, 2666242171537, 2862915119642, 3073605225311, 3299373144128, 3541168428731, 3800195483926, 4077539103333, 4374566405276, 4692515766997, 5032938434316, 5397247438222, 5787202287470, 6204414164862, 6650878089362, 7128430322337, 7639332061158, 8185674685818, 8770020194363, 9394749432865, 10062764108373, 10776772887784, 11540061100702, 12355708963077, 13227434744375, 14158739071097, 15153828780336, 16216680493808, 17352052033523, 18564458148468, 19859278021401, 21241635071675, 22717608727894, 24293009967296, 25974707353086, 27769288800930, 29684511599253, 31727840573949, 33908033866967, 36233546303145, 38714262427446, 41359753540821, 44181171864703, 47189348026855, 50396860000302, 53815957518231, 57460822042074, 61345302587972, 65485382893958, 69896712781819, 74597301584825, 79604826886631, 84939573270656, 90621499848445, 96673446729332, 103117940001304, 109980688456592, 117287104258833, 125066116174377, 133346380966882, 142160439709281, 151540594437813, 161523438297391, 172145368314106, 183447520602836, 195470889564713, 208261704190818, 221866119559531, 236336071043114] For the set of patterns, {[0, 1, 1], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 15, 21, 28, 40, 53, 71, 93, 123, 160, 208, 264, 340, 429, 545, 683, 859, 1068, 1328, 1640, 2026, 2486, 3051, 3720, 4536, 5502, 6667, 8049 , 9707, 11662, 14000, 16749, 20014, 23844, 28380, 33689, 39947, 47253, 55829, 65825, 77524, 91109, 106965, 125351, 146735, 171478, 200176, 233318, 271658, 315841, 366831, 425475, 493011, 570519, 659592, 761663, 878686, 1012552, 1165753, 1340692, 1540537, 1768349, 2028135, 2323827, 2660443, 3042993, 3477774 , 3971186, 4531070, 5165533, 5884450, 6697967, 7618448, 8658679, 9834020, 11160579, 12657439, 14344742, 16246233, 18387045, 20796593, 23506185, 26552305, 29973789, 33815708, 38126328, 42961151, 48379915, 54451037, 61248216, 68855720, 77364320, 86877397, 97506740, 109379112, 122631718, 137419695, 153911376, 172296356, 192780564, 215595520, 240992675, 269254336, 300687279, 335634885, 374471037, 417613075, 465515477, 518684915, 577673347, 643094939, 715618871, 795988782, 885014995, 983596520, 1092713410, 1213450937, 1346992932, 1494648528 , 1657845031, 1838159698, 2037311990, 2257199334, 2499890535, 2767665806, 3063011301, 3388664082, 3747608117, 4143125183, 4578792639, 5058541580, 5586655240, 6167836988, 6807210990, 7510397772, 8283520411, 9133289287, 10067012757, 11092694513, 12219048554, 13455611093, 14812761899, 16301852040, 17935232680, 19726401587, 21690042555, 23842190033, 26200282988, 28783353214, 31612091343, 34709065293, 38098801815, 41808036612, 45865818064, 50303791125, 55156327054, 60460849159, 66257991873, 72591972929, 79510788183, 87066640737, 95316173046, 104320961717, 114147799082, 124869257575, 136564032929, 149317588787, 163222567342, 178379533979, 194897463355, 212894595134, 232499014293, 253849634539, 277096885684, 302403843152, 329947045870, 359917789369, 392523095259, 427987197900, 466552682478, 508482201123, 554059807534, 603592926647, 657413929984, 715882394507, 779386949680, 848347874431, 923219261474, 1004492000163, 1092696305176, 1188405147833, 1292237203103, 1404860797084, 1526997343679, 1659425869237, 1802987028544, 1958588296084, 2127208631000, 2309904447959, 2507815032781, 2722169398355, 2954292570604, 3205613456825, 3477672136746, 3772128890045, 4090772646633, 4435531333691, 4808481665487, 5211861015156, 5648078716431, 6119729693196, 6629607515066, 7180720011576, 7776304356633, 8419844951601, 9115090830622, 9866076151109, 10677140248890, 11552951107184, 12498528457291, 13519270656658, 14620981259096, 15809899787217, 17092732306001, 18476686605682, 19969507361863, 21579516373347, 23315652937695, 25187519881505, 27205429887059, 29380458109188, 31724495332965, 34250308085403, 36971599578770, 39903078370393, 43060528211593, 46460886421707, 50122323881348, 54064334509306, 58307826786035, 62875225874669, 67790578304892, 73079668432837, 78770138166962, 84891619723803, 91475872433510, 98556934070315, 106171277093500, 114357981065460, 123158910993275, 132618913731540, 142786021443068, 153711675213721, 165450957100739, 178062844592906, 191610475163587, 206161435763678, 221788064191684, 238567778400285, 256583419670674, 275923626992119, 296683227710713, 318963663004666, 342873432368057, 368528576973781, 396053185197448, 425579941546658, 457250701348663, 491217113971369, 527641275770806, 566696437446332, 608567745681835, 653453045562395, 701563722677434, 753125613107402, 808379959117118, 867584440828929, 931014260371680, 998963311107036, 1071745407034506, 1149695607441604, 1233171610449786, 1322555253240022, 1418254091149973, 1520703096023643, 1630366444889914, 1747739442108490, 1873350544507147, 2007763536140045, 2151579820334015, 2305440879336685, 2470030867609499, 2646079392695347, 2834364448238237, 3035715557057189] For the set of patterns, {[0, 1, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 21, 28, 40, 52, 71, 91, 123, 158, 208, 262, 340, 427, 547, 684, 863, 1069, 1340, 1648, 2048, 2507, 3093, 3764, 4611, 5584, 6797, 8195 , 9919, 11913, 14350, 17158, 20568, 24505, 29255, 34726, 41288, 48846, 57870, 68254, 80574, 94742, 111487, 130721, 153361, 179337, 209786, 244690, 285470, 332163, 386527, 448691, 520856, 603287, 698722, 807568, 933247, 1076442, 1241366, 1429050, 1644699, 1889798, 2170818, 2489837, 2854847, 3268715, 3741317 , 4276543, 4886586, 5576705, 6361856, 7249058, 8256736, 9394116, 10683877, 12138028, 13784428, 15638710, 17735069, 20093602, 22756232, 25748774, 29122539, 32910529, 37175499, 41959324, 47338695, 53366638, 60136806, 67716033, 76218512, 85728078, 96384010, 108291302, 121619366, 136499198, 153136833, 171695336, 192425019, 215528153, 241308388, 270016196, 302019800, 337628310, 377287786, 421378882, 470441306, 524942971, 585536341, 652795184, 727507347, 810375136, 902349050, 1004287259, 1117335154, 1242538872, 1381277804, 1534825408, 1704841026, 1892871832, 2100912034, 2330838396, 2585045540, 2865806498, 3175993497, 3518355461, 3896334396, 4313249633, 4773222649, 5280255640, 5839278491, 6455110167, 7133642925, 7880671370, 8703231154, 9608280525, 10604213037, 11699374581, 12903769836, 14227395430, 15682166127, 17280042283, 19035200885, 20961934991, 23077098738, 25397752812, 27943917549, 30735934664, 33797565424, 37153037234, 40830527517, 44858860363, 49271423879, 54102476245, 59391545922, 65179307878, 71512523483, 78439439023, 86015328773, 94297362848, 103350826009, 113243399810, 124052133355, 135857076606, 148749093081, 162822775198, 178185195420, 194948031915, 213237363980, 233184924495, 254939062638, 278655033799, 304507263851, 332678578242, 363373912990, 396808377967, 433222585963, 472869429195, 516031206304, 563004989128, 614121751801, 669730190884, 730218082549, 795994403032, 867513165714, 945253683672, 1029747163709, 1121554932757, 1221298103123, 1329633565162, 1447287069451, 1575026785714, 1713700181094, 1864204917490, 2027529950806, 2204723527971, 2396938980147, 2605399563002, 2831449455629, 3076515165669, 3342162325920, 3630053359105, 3942010712781, 4279970465157, 4646052710311, 5042510763602, 5471809494871, 5936569763645, 6439655575886, 6984113365157, 7573268942375, 8210661215780, 8900150024890, 9645843846180, 10452219709824, 11324044442550, 12266508002419, 13285137766677, 14385946762373, 15575340484664, 16860281673722, 18248189144147, 19747120912924, 21365664485091, 23113140366841, 24999483230854, 27035468061237, 29232581621829, 31603273712138, 34160818333821, 36919592840045, 39894928191796, 43103419075735, 46562762641252, 50292102978657, 54311857753118, 58644100851267, 63312376310375, 68342123317981, 73760476902233, 79596739953449, 85882170162371, 92650504255396, 99937730694065, 107782671899504 , 116226742342589, 125314595143780, 135093865268323, 145615887620075, 156935425158472, 169111466382616, 182206938399846, 196289592555574, 211431702617608, 227711048314126, 245210599040509, 264019606172908, 284233272990844, 305953967770765, 329290880955847, 354361372471018, 381290617548254, 410213103135730, 441272264299784, 474622146256463, 510427033833038, 548863297549117, 590119019241694, 634396042653243, 681909599134053, 732890585474044, 787585194513941, 846257445572442, 909188825745582, 976681101074900, 1049055975676810, 1126658214963362, 1209855331085264, 1299041053020503, 1394635048441913, 1497086779467635, 1606875273023789, 1724513405295307, 1850547734768868, 1985563263408352, 2130183349036221, 2285074996626193, 2450948869621719, 2628565170673451, 2818733774733783, 3022320765377709, 3240248716275441, 3473503956648963, 3723137032021492, 3990270780561904] For the set of patterns, {[0, 1, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 15, 22, 29, 40, 54, 74, 96, 128, 166, 217, 276, 356, 451, 576, 722, 910, 1134, 1418, 1751, 2172, 2669, 3285, 4011, 4907, 5962, 7250, 8764 , 10600, 12758, 15356, 18397, 22047, 26315, 31400, 37333, 44379, 52586, 62284, 73553, 86822, 102223, 120283, 141190, 165643, 193910, 226843, 264838, 309002, 359867, 418814, 486577, 564922, 654846, 758544, 877358, 1014093, 1170520, 1350114, 1555248, 1790325, 2058420, 2365038, 2714199, 3112816, 3566108, 4082666 , 4669236, 5336612, 6093428, 6953062, 7926613, 9030791, 10279678, 11694013, 13291712, 15098547, 17137173, 19439453, 22033997, 24960342, 28254389, 31964885, 36136965, 40830867, 46102913, 52027276, 58674296, 66135317, 74497804, 83873889, 94372226, 106130601, 119283449, 133999450, 150444981, 168826612, 189349350, 212265613, 237827924, 266344507, 298125497, 333546506, 372988043, 416907699, 465771056, 520134326, 580566876, 647744428, 722361346, 805237251, 897218268, 999297603, 1112504160, 1238039688, 1377154018, 1531300151, 1701993322, 1890987525, 2100118189, 2331500889, 2587354623, 2870227846, 3182800795, 3528140299, 3909478527, 4330501584, 4795103165, 5307709856, 5873005188, 6496298341, 7183217694, 7940125203, 8773774818, 9691781782, 10702243036, 11814265069, 13037542392, 14382953429, 15862094024, 17487947648, 19274367385, 21236832960, 23391879016, 25757944840, 28354742328, 31204215266, 34329842086, 37757713208, 41515762935, 45634983171, 50148579663, 55093334927, 60508679841, 66438229541, 72928766911, 80031964919, 87803273402, 96303859339, 105599389705, 115762208577, 126870009434, 139008284322, 152268879097, 166752741719, 182568350196, 199834804795, 218680124914, 239244716091, 261679527098, 286149950241, 312833830984, 341925843471, 373635348263, 408191310364, 445840000515, 486850513023, 531512303404, 580141391981, 633077739300, 690692203285, 753383750699, 821587279190, 895770664288, 976443536083, 1064154170465, 1159499352240, 1263121118907, 1375717829965, 1498040774110, 1630906612504, 1775193872380, 1931856910106, 2101922317702, 2286504620845, 2486802627666, 2704117052670, 2939846858825, 3195509067481, 3472735146905, 3773293259533, 4099084764743, 4452169233991, 4834761157012, 5249258035640, 5698237401692, 6184488411734, 6711009295562, 7281042855507, 7898074511179, 8565872222085, 9288485307405, 10070289317098, 10915985848103, 11830653022986, 12819746566225, 13889156547084, 15045210034814, 16294734946312, 17645064631592, 19104109673371, 20680364854923, 22382989955594, 24221819595662, 26207454121336, 28351272926543, 30665536754147, 33163405184422, 35859051729228, 38767686311799, 41905684843810, 45290617610020, 48941395095349, 52878303399607, 57123168429177, 61699399585029, 66632174587649, 71948492918491, 77677383965505, 83849971898499, 90499710001507, 97662458965523, 105376750825951, 113683882881095, 122628214899209, 132257281307799, 142622125967427, 153777435573692, 165781916683706, 178698453782762, 192594534019865, 207542433839248, 223619697353917, 240909356091762, 259500467937261, 279488375077416, 300975311067784, 324070702953223, 348891855192442, 375564302628398, 404222580898882, 435010638001185, 468082702265560, 503603761244744, 541750539430003, 582712054554074, 626690719096026, 673902985296436, 724580585929540, 778971281133952, 837340256169274, 899970984733649, 967166803363597, 1039251908116244, 1116573128042114, 1199501074229836, 1288432137199927, 1383789810100448, 1486026938409143, 1595627241706748, 1713107847176100, 1839021038013152, 1973957106516599, 2118546360588348, 2273462336286396, 2439424098350735, 2617199857443782, 2807609605104657, 3011529185996708, 3229893313348410, 3463700153317845, 3714014772569191, 3981974298342870, 4268791857079801, 4575762382118885] For the set of patterns, {[1, 0, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 13, 18, 23, 34, 42, 57, 71, 94, 120, 155, 189, 244, 300, 377, 463, 580, 701, 866, 1047, 1283, 1544, 1879, 2247, 2719, 3237, 3883, 4611, 5510, 6512, 7744, 9123, 10792, 12670, 14930, 17466, 20509, 23923, 27977, 32560, 37965, 44029, 51172, 59220, 68626, 79209, 91541, 105418, 121523, 139635, 160566 , 184113, 211226, 241669, 276671, 315969, 360942, 411421, 469087, 533735, 607396, 689906, 783681, 888684, 1007759, 1140907, 1291645, 1460108, 1650349, 1862815, 2102379, 2369633, 2670449, 3005771, 3382543, 3802227, 4273028, 4796912 , 5383846, 6036499, 6766433, 7577432, 8483413, 9489084, 10611033, 11855493, 13242045, 14778785, 16488886, 18382666, 20487839, 22817283, 25403606, 28263404, 31435400, 34939834, 38822767, 43109705, 47854857, 53089851, 58878785, 65260507, 72311202, 80078405, 88651739, 98089900, 108498768, 119949330, 132566902, 146438194, 161710436, 178488864, 196947282, 217212779, 239490482, 263933352, 290782327, 320222597, 352537695, 387949027, 426790529, 469328138, 515953482, 566984834, 622882581, 684026400, 750956872, 824126540, 904168801, 991623384, 1087232564, 1191636118, 1305704662, 1430198033, 1566134077, 1714412959, 1876225920, 2052637612, 2245041100, 2454693676, 2683221937, 2932110937, 3203259840, 3498416187, 3819797691, 4169462174, 4549993079, 4963809722, 5413924056, 5903175849, 6435072408, 7012943951, 7640872125, 8322760424, 9063355256, 9867222045, 10739880352, 11686669320, 12713996585, 13828099289, 15036417894, 16346228088, 17766162096, 19304701968, 20971855123, 22777502276, 24733238003, 26850557122, 29142889608, 31623601481, 34308229405, 37212301156, 40353790154, 43750716085, 47423853891, 51394102267, 55685459031, 60322144953, 65331864461, 70742658924, 76586499656, 82895832794, 89707519813, 97059076329, 104992990496, 113552598920, 122786840039, 132745748945, 143485661789, 155064304911, 167546493259, 180998773167, 195495683337, 211113892621, 227939056101, 246059448596, 265573463437, 286582660130, 309199994928, 333542248912, 359739024905, 387924518576, 418247356957, 450861642806, 485937739575, 523652509713, 564201105012, 607786394537, 654631836601, 704969971859, 759056524761, 817157912721, 879566639448, 946587751211, 1018555652034, 1095819413331, 1178761165261, 1267780144733, 1363312772324, 1465815419657, 1575786300683, 1693746781869, 1820265332489, 1955937290388, 2101410969947, 2257365797894, 2424540803258, 2603710977027, 2795718375729, 3001446547627, 3221854454246, 3457948916282, 3710821572541, 3981619097560, 4271583576844, 4582020375077, 4914342109577, 5270034051856, 5650702060285, 6058035295637, 6493858493889, 6960091787743, 7458807674542, 7992187852072, 8562585244290, 9172477533366, 9824534842881, 10521569794119, 11266611161999, 12062850300466, 12913721385377, 13822843895456, 14794110054256, 15831623096556, 16939792506716, 18123267948205, 19387042912746, 20736383916928, 22176943495262, 23714684419219, 25356002630922, 27107646308406, 28976849740408, 30971246805258, 33099016784469, 35368791961210, 37789816370251, 40371847375512, 43125328389720, 46061283941534, 49191507881717, 52528451659234, 56085429070999, 59876497562676, 63916681159978, 68221844293490, 72808934541926, 77695848717261, 82901697092928, 88446661607735, 94352283365582, 100641312467450, 107338021226798, 114468045329386, 122058724625746, 130138935606585, 138739462447321, 147892820282403, 157633659208015, 167998578247050, 179026565153708, 190758801088248, 203239139299978, 216513900128058, 230632392491618] For the set of patterns, {[1, 0, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 12, 19, 24, 33, 41, 58, 71, 97, 119, 155, 190, 247, 301, 384, 466, 584, 706, 882, 1055, 1305, 1560, 1909, 2274, 2764, 3276, 3959, 4682, 5616, 6616, 7901, 9273, 11019, 12902, 15253, 17809, 20979, 24418, 28650, 33264, 38881, 45036, 52478, 60624, 70422, 81185, 94021, 108155, 124923, 143377, 165190 , 189231, 217462, 248635, 285086, 325331, 372231, 424033, 484123, 550546, 627351, 712232, 810077, 918227, 1042446, 1179821, 1337170, 1511103, 1709820, 1929477, 2179723, 2456365, 2770770, 3118170, 3512192, 3947463, 4439999, 4983998 , 5598308, 6276518, 7041009, 7884732, 8833902, 9881131, 11057240, 12354213, 13808526, 15411560, 17206095, 19183457, 21393713, 23827890, 26544976, 29535933, 32869800, 36538161, 40621703, 45112552, 50105597, 55593984, 61688580, 68384701, 75811752, 83967571, 93003868, 102921858, 113898513, 125940411, 139253874, 153851876, 169975562, 187646007, 207144125, 228502406, 252047978, 277826639, 306220179, 337291016, 371483473, 408882143, 450003426, 494958222, 544347893, 598315480, 657559959, 722264993, 793242219, 870723651, 955653179, 1048321314, 1149823470, 1260522676, 1381689273, 1513772490, 1658247169, 1815665298, 1987736439, 2175138231, 2379851058, 2602701188, 2845984047, 3110702112, 3399513089, 3713632177, 4056134483, 4428485410, 4834244351, 5275172521, 5755386018, 6276999533, 6844769156, 7461224406, 8131862873, 8859701830, 9651090818, 10509624373, 11442631312, 12454382311, 13553337649, 14744559626, 16037806557, 17439073045, 18959608566, 20606495799, 22392703277, 24326581915, 26423072043, 28692011090, 31150601751, 33810410500, 36691242526, 39806674264, 43179494258, 46825623945, 50771269967, 55035073442, 59647166843, 64629345008, 70016235418, 75833297066, 82120301550, 88906947139, 96238905568, 104150776186, 112694978436, 121911786474, 131861334023, 142590446543, 154168089809, 166648644017, 180111163853, 194618752535, 210261987312, 227114016147, 245278588075, 264840406212, 285918251379, 308610134321, 333051981565, 359357093645, 387680967470, 418154457545, 450955370169, 486234724389, 524195742319, 565012563097, 608917381084, 656110826764, 706858081109, 761390135025, 820009706653, 882982531325, 950654061868, 1023329765349, 1101403691268, 1185226748636, 1275248224600, 1371870939546, 1475606980480, 1586918421447, 1706388683083, 1834547478804, 1972059222185, 2119530754395, 2277718452847, 2447317045986, 2629187253922, 2824123952967, 3033106193563, 3257042857641, 3497047189745, 3754157774379, 4029639943097, 4324679819654, 4640715014803, 4979099340898, 5341465556493, 5729357956594, 6144630213805, 6589042949269, 7064699804643, 7573606904379, 8118150711818, 8700615807390, 9323708458074, 9990029004056, 10702645185729, 11464515175602, 12279115221984, 13149808778104, 14080533521868, 15075111818292, 16138002342993, 17273546786314, 18486791955462, 19782666939028, 21166882156782, 22645030915759, 24223572108899, 25908849701199, 27708166598538, 29628714714326, 31678748292762, 33866416807073, 36201046380282, 38691867284339, 41349413069120, 44184133354463, 47207921233661, 50432601554119, 53871597662392, 57538284725079, 61447808071363, 65615289796928, 70057812191284, 74792465223612, 79838509184801, 85215249829255, 90944395849438, 97047746870261, 103549762940346, 110475049691441, 117851157880167, 125705849016938, 134070144840653, 142975354834540, 152456397415721, 162548569614936, 173291162918870, 184723954140547, 196891141176127, 209837531715455, 223612826573129, 238267481440015, 253857367001976] For the set of patterns, {[1, 0, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 13, 19, 24, 33, 42, 60, 74, 97, 122, 159, 196, 253, 311, 395, 481, 602, 731, 908, 1094, 1346, 1622, 1979, 2364, 2867, 3414, 4111, 4878, 5840, 6909, 8234, 9697, 11498, 13507, 15950, 18662, 21953, 25621, 30026, 34940, 40805, 47367, 55151, 63836, 74099, 85586, 99059, 114128, 131759, 151487, 174440 , 200123, 229912, 263243, 301761, 344808, 394419, 449891, 513561, 584706, 666200, 757215, 861144, 977150, 1109335, 1256803, 1424413, 1611252, 1823193, 2059366, 2326600, 2624169, 2960336, 3334391, 3756115, 4225055, 4752878, 5339423 , 5998446, 6730233, 7551223, 8462316, 9482770, 10614353, 11880146, 13282768, 14849431, 16584284, 18519550, 20661138, 23046969, 25685231, 28621035, 31865280, 35470964, 39452714, 43873402, 48751808, 54161854, 60128194, 66738032, 74022667, 82084732, 90963905, 100781503, 111587187, 123523275, 136652347, 151142148, 167070009, 184632861, 203926908, 225183738, 248521385, 274211746, 302399766, 333405129, 367404676, 404772647, 445725327, 490702013, 539964335, 594026987, 653207480, 718108941, 789114025, 866928574, 952014072, 1045196814, 1147030837, 1258481463, 1380214100, 1513357789, 1658707040, 1817580699, 1990928580, 2180290550, 2386797919, 2612246832, 2857984280, 3126105632, 3418209742, 3736737782, 4083587190, 4461602981, 4873029254, 5321177982, 5808704466, 6339462273, 6916584926, 7544553349, 8227063202, 8969324021, 9775684728, 10652196162, 11603974712, 12638046574, 13760417674, 14979240497, 16301564078, 17736842530, 19293333193, 20981994500, 22812492671, 24797524629, 26948388557, 29279783921, 31804911114, 34540780806, 37502790888, 40710615197, 44182206787, 47940307380, 52005819431, 56405018020, 61162224894, 66307781225, 71869954734, 77883759317, 84382031446, 91405158777, 98991237027, 107186829256, 116036109161, 125592728745, 135907855259, 147043278065, 159058230322, 172023834477, 186008595816, 201094335530, 217360236420, 234900382770, 253806209248, 274185848448, 296144826753, 319807352057, 345295110941, 372750708404, 402314383523, 434149779824, 468418386549, 505307897928, 545004168457, 587722371384, 633676234207, 683112314416, 736276263695, 793450451166, 854917016544, 920999197265, 992020856548, 1068351834760, 1150363633321, 1238479215269, 1333124501775, 1434782973543, 1543942618042, 1661155841384, 1786981452848, 1922050301110, 2067001889831, 2222556336676, 2389445104669, 2568489825787, 2760526647140, 2966492601826, 3187343025127, 3424146065314, 3677992593847, 3950099697142, 4241712395981, 4554216844130, 4889033198061, 5247739498639, 5631954879616, 6043475022315, 6484144934616, 6956007082024, 7461162858664, 8001934415445, 8580713899848, 9200140362974, 9862935667039, 10572097701250, 11330721936464, 12142212504579, 13010088153824, 13938212663494, 14930584000472, 15991585883745, 17125758727372, 18338074099523, 19633686005465, 21018230465666, 22497555447515, 24078047587504, 25766339224697, 27569664762725, 29495542875250, 31552164980100, 33748050737371, 36092471611454, 38595077452502, 41266358047983, 44117238613079, 47159582859960, 50405754858178, 53869166970284, 57563805715535, 61504828634734, 65708051187289, 70190596672343, 74970341288435, 80066621917126, 85499636040984, 91291212121695, 97464161173971, 104043115385441 , 111053827538080, 118524083443986, 126482945616355, 134961746143451, 143993270153410, 153612835887112, 163857413766755, 174766801345385, 186382673149677, 198749858256382, 211915316215974, 225929526386049, 240845384271128, 256719711872055, 273612069142944, 291586396008286] For the set of patterns, {[1, 0, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 20, 28, 39, 50, 69, 89, 119, 153, 198, 252, 324, 408, 519, 649, 816, 1010, 1258, 1550, 1915, 2348, 2878, 3505, 4275, 5176, 6272, 7562 , 9119, 10947, 13136, 15698, 18754, 22331, 26566, 31511, 37354, 44155, 52158, 61457, 72352, 84992, 99750, 116834, 136722, 159703, 186373, 217127, 252743, 293724, 341044, 395418, 458041, 529879, 612437, 706949, 815363, 939278, 1081115 , 1242963, 1427883, 1638570, 1878831, 2152169, 2463324, 2816796, 3218540, 3674205, 4191321, 4777066, 5440742, 6191494, 7040896, 8000497, 9084686, 10307962, 11688196, 13243578, 14996305, 16969017, 19189235, 21685295, 24491075, 27641902, 31179579, 35147884, 39598417, 44585360, 50172180, 56425890, 63424445, 71250416, 79999467, 89773366, 100689096, 112871755, 126464542, 141620730, 158515337, 177335907, 198295824, 221624539, 247581865, 276447664, 308538003, 344193941, 383799278, 427768805, 476568307, 530701372, 590732513, 657272447, 731003909, 812666957, 903086555, 1003157447, 1113875646, 1236321782, 1371696636 , 1521303491, 1686588314, 1869121077, 2070641008, 2293037102, 2538398253, 2808994898, 3107333926, 3436139763, 3798417864, 4197434242, 4636787533, 5120388921, 5652542486, 6237926630, 6881684203, 7589405234, 8367227888, 9221824437, 10160514640, 11191252861, 12322759110, 13564507849, 14926875763, 16421137150, 18059628253, 19855750918, 21824158435, 23980765698, 26342961171, 28929626785, 31761378490, 34860596580, 38251700746, 41961195239, 46017978379, 50453409815, 55301659034, 60599795918, 66388189849, 72710622369, 79614744533, 87152222744, 95379256851, 104356765334, 114150975599, 124833656619, 136482789346, 149182856452, 163025605688, 178110403742, 194545112847, 212446515358, 231941315455, 253166659303, 276271272436, 301416089775, 328775555242, 358538376499, 390909011622, 426108569973, 464376512250, 505971721961, 551174454206, 600287604225, 653638932504, 711582578272, 774501595825, 842809742873, 916954387984, 997418610204, 1084724533114, 1179435791554, 1282161343123, 1393558367752, 1514336630070, 1645261875582, 1787160817272, 1940925117971, 2107517093329, 2287974354923, 2483416349837, 2695049762074, 2924176002662, 3172197504116, 3440626276902, 3731091241421, 4045348017938, 4385287435846, 4752946735441, 5150519441470, 5580368180913, 6045036113187, 6547261602964, 7089991443748, 7676397634730, 8309892689264, 8994148794189, 9733115506447, 10531041666833, 11392495803575, 12322391192319, 13326009383392, 14409028836828, 15577552029717, 16838138169917, 18197834408803, 19664213196011, 21245408203662, 22950156961924, 24787842152973, 26768540314031, 28903069234003, 31203043550030, 33680929166145, 36350106665461, 39224933752724, 42320817570758, 45654286283638, 49243071544669, 53106190504716, 57264039817367, 61738489516336, 66552990184083, 71732680339051, 77304508517952, 83297356121429, 89742176412375, 96672134942664, 104122767809795, 112132142031776, 120741035712723, 129993121120171, 139935169672539, 150617260839875, 162093015324754, 174419833304333, 187659159540116, 201876754997298, 217142998166082, 233533194520427, 251127918963503, 270013368159148, 290281749591631, 312031682604822, 335368640159024, 360405405137062, 387262571825546, 416069064814022, 446962708078764, 480090814810160, 515610833029155, 553691015689503, 594511152920592, 638263332976582, 685152772411457, 735398679962008, 789235197306056, 846912379374305, 908697260221668, 974874964875426, 1045749916581243, 1121647097352801, 1202913414867495, 1289919131059713, 1383059409258553, 1482755932578943, 1589458654461055, 1703647631482239, 1825835003315886, 1956567067462447, 2096426518204363, 2246034794157623, 2406054609242191, 2577192608072381, 2760202225973027] For the set of patterns, {[1, 0, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 15, 21, 29, 40, 53, 72, 95, 124, 164, 211, 272, 347, 442, 560, 707, 886, 1108, 1376, 1710, 2107, 2602, 3188, 3906, 4760, 5797, 7026, 8514 , 10268, 12382, 14868, 17844, 21336, 25497, 30372, 36149, 42908, 50883, 60185, 71133, 83865, 98793, 116132, 136380, 159860, 187196, 218827, 255554, 297963, 347086, 403685, 469090, 544317, 631020, 730606, 845101, 976384, 1127028, 1299440, 1496914, 1722544, 1980477, 2274735, 2610503, 2993000, 3428677, 3924265 , 4487851, 5127959, 5854833, 6679194, 7613898, 8672559, 9871139, 11226921, 12759764, 14491412, 16446634, 18652655, 21140355, 23943694, 27101107, 30654965, 34652844, 39147659, 44198141, 49870056, 56236117, 63377636, 71384574, 80357351, 90406892, 101657135, 114244544, 128321893, 144056749, 161637044, 181268427, 203181323, 227628088, 254890661, 285277980, 319134993, 356838902, 398811246, 445512054, 497455318, 555201663, 619376613, 690662650, 769819814, 857677715, 955158948, 1063269942, 1183129698, 1315957397, 1463107973, 1626057340, 1806443147, 2006050212, 2226855572, 2471014289, 2740910885, 3039143754, 3368585846, 3732366089, 4133941595, 4577076513, 5065924893, 5605010903, 6199320113, 6854283173, 7575878556, 8370616270, 9245658338, 10208800414, 11268612213, 12434420179, 13716466617, 15125898374, 16674943924, 18376911490, 20246387684, 22299243026, 24552861554, 27026150081, 29739805039, 32716330947, 35980341824, 39558599824, 43480351138, 47777389244, 52484434288, 57639219985, 63282928877, 69460303349, 76220146741, 83615466520, 91704043142, 100548623023, 110217555402, 120785048090, 132331887609, 144945757779, 158722067569, 173764337452, 190185150030, 208106624818, 227661498603, 248993716105, 272259650476, 297628834502, 325285345460, 355428689974, 388275393823, 424060053260, 463037164353, 505482379458, 551694592082, 601997454442, 656741742968, 716307181245, 781105138728, 851580792858, 928216228329, 1011532980741, 1102095601696, 1200514653313, 1307450789020, 1423618299317, 1549789761579, 1686800233648, 1835552571209, 1997022342186, 2172263943521, 2362416329919, 2568710050196, 2792473935748, 3035143165225, 3298267092187, 3583518467697, 3892702592320, 4227767879861, 4590816505186, 4984116551588, 5410114345332, 5871448433575, 6370963883224, 6911728312744, 7497048502999, 8130488752694, 8815890150188, 9557391622362, 10359452218148, 11226875295495, 12164834224726, 13178900188656, 14275071828122, 15459807132909, 16740057676102, 18123305135015, 19617600802413, 21231607445428, 22974644785904, 24856737553578, 26888667744723, 29082029771843, 31449290518191, 34003852536320, 36760123092692, 39733586513320, 42940883523131, 46399894081604, 50129828399196, 54151321868759, 58486539323704, 63159283816142, 68195116037601, 73621478795779, 79467833854402, 85765804246998, 92549330984467, 99854835786161, 107721400315101, 116190952318162, 125308470427747, 135122197022688, 145683872188021, 157048976902310, 169277000342804, 182431717486200, 196581494387423, 211799605048563, 228164579705852, 245760566584834, 264677728947109, 285012657931018, 306868825097912, 330357053202171, 355596031958560, 382712854528392, 411843605112966, 443133970194983, 476739907462231, 512828342205879, 551577928320424, 593179841451241, 637838644542744, 685773190541802, 737217606755583, 792422321664525, 851655183952331, 915202630221373, 983370956338555, 1056487645168702, 1134902810211644, 1218990704744918, 1309151360634109, 1405812302697542, 1509430408759682, 1620493856122907, 1739524232008864, 1867078742951402, 2003752608045602, 2150181566268918, 2307044589191679, 2475066725339752, 2655022174181411, 2847737511221226, 3054095170591408, 3275037100189959, 3511568705886156, 3764762992760007, 4035765030109588, 4325796642291104] For the set of patterns, {[1, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 21, 29, 39, 52, 72, 93, 123, 159, 209, 266, 343, 432, 552, 692, 872, 1083, 1355, 1673, 2073, 2544, 3132, 3822, 4675, 5670, 6896, 8333 , 10075, 12112, 14581, 17459, 20915, 24945, 29763, 35372, 42040, 49778, 58951, 69593, 82129, 96642, 113705, 133419, 156492, 183117, 214188, 249981, 291614, 339485, 395034, 458820, 532599, 617175, 714808, 826549, 955203, 1102234, 1271165, 1463949, 1684967, 1936797, 2224974, 2552908, 2927396, 3352932, 3838088 , 4388645, 5015204, 5725293, 6532116, 7445368, 8481378, 9652526, 10979163, 12477121, 14171405, 16082170, 18240495, 20671821, 23414407, 26500410, 29977056, 33884831, 38281796, 43218623, 48766899, 54990089, 61975808, 69803240, 78580136, 88404920, 99409380, 111715734, 125485364, 140869652, 158065624, 177260156, 198694063, 222597855, 249264597, 278977939, 312095162, 348964455, 390019958, 435688531, 486497706, 542969847, 605744688, 675459936, 752891358, 838816728, 934174345, 1039910950, 1157161734, 1287077257, 1431027973, 1590410153, 1766877464, 1962122100, 2178136378, 2416967367, 2681014182, 2972750763, 3295060994, 3650929942, 4043822934, 4477337180, 4955630308, 5483031623, 6064525749, 6705317156, 7411374611, 8188945590, 9045172181, 9987546728, 11024603998, 12165317527, 13419879864, 14799026863, 16314916312, 17980377884, 19809902012, 21818805137, 24024339960, 26444769877, 29100620393, 32013649207, 35208249373, 38710312758, 42548807648, 46754516219, 51361805817, 56407235764, 61931546531, 67978119584, 74595206271, 81834230948, 89752296517, 98410310098, 107875787861, 118220799193, 129525113927, 141873936344, 155361431796, 170088243293, 186165445393, 203711819669, 222858279164, 243744888755, 266525829294, 291366133799, 318447239101, 347963432787, 380128074210, 415169713376, 453339053388, 494904733329, 540161125867, 589423753787, 643038009454, 701374189737, 764837266984, 833861507344, 908921393626, 990525826498, 1079230355004, 1175630916510, 1280377517301, 1394167511036, 1517760912389, 1651973186634, 1797692370647, 1955871369124, 2127547128768, 2313832414470, 2515937244824, 2735160171876, 2972912276849, 3230707924077, 3510191601561, 3813128183969, 4141432975803, 4497161490697, 4882543049014, 5299970117218, 5752035931469, 6241523423189, 6771447297070, 7345042644460, 7965812055245, 8637513964894, 9364215371550, 10150280060899, 11000427632581, 11919721728776, 12913636082647, 13988042943552, 15149287060914, 16404174499182, 17760055437722, 19224813692816, 20806959464740, 22515619841605, 24360642647750, 26352588364892, 28502846473027, 30823629243623, 33328102019619, 36030379461933, 38945671557720, 42090282959806, 45481776524219, 49138976596043, 53082152306244, 57333025674721, 61914976998304, 66853058920226, 72174226675883, 77907359397067, 84083518147903, 90735975986731, 97900507327886, 105615428480446, 113921922006965, 122864089855628, 132489317139423, 142848340153821, 153995654291024, 165989599750249, 178892819104895, 192772363865060, 207700207638811, 223753377232371, 241014528425010, 259572105801347, 279520988601269, 300962684247340, 324006053074625, 348767541066054, 375371992985629, 403952930829051, 434653466381830, 467626632758517, 503036408391938, 541058110133404, 581879542647408, 625701462722772, 672738869172846, 723221549540069, 777395528052477, 835523707270369, 897887493284870, 964787546828963, 1036545607725831, 1113505371936855, 1196034539436420, 1284525835962396, 1379399312141629, 1481103531279910, 1590118150149746, 1706955297244572, 1832162470183578, 1966324131943773, 2110064963377798, 2264051708889660, 2428996827920865, 2605660625725468, 2794855352281257, 2997447658552077, 3214363198127977, 3446589454784986, 3695180907762226, 3961262282653353, 4246034349757384] The first, 300, terms of all the enumerating sequences of partitions avoiding sets of, 3, patterns each of length, 3, whose entries are from 0 to, 1 For the set of patterns, {[0, 0, 0], [0, 0, 1], [0, 1, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 8, 10, 15, 20, 25, 32, 42, 54, 68, 85, 106, 131, 163, 200, 246, 300, 363, 439, 530, 637, 765, 913, 1087, 1293, 1533, 1810, 2137, 2518, 2957, 3462, 4051, 4732, 5518, 6419, 7455, 8648, 10014, 11570, 13354, 15394, 17722, 20372, 23389, 26816, 30709, 35120, 40117, 45776, 52175, 59398, 67564, 76773, 87143, 98811, 111936, 126687, 143258, 161843, 182676, 206017, 232157, 261390, 294073, 330585, 371339, 416793, 467470, 523934, 586815, 656763, 734541, 820994, 917024, 1023598, 1141840, 1272957, 1418261, 1579175, 1757298, 1954383, 2172361, 2413267, 2679377, 2973213, 3297522, 3655251, 4049684, 4484377, 4963231, 5490472 , 6070738, 6709090, 7411079, 8182661, 9030384, 9961408, 10983502, 12105059, 13335332, 14684333, 16162935, 17782922, 19557179, 21499688, 23625657, 25951490, 28495077, 31275856, 34314909, 37634998, 41260916, 45219484, 49539807, 54253368, 59394284, 64999481, 71109029, 77766096, 85017507, 92913968, 101510279, 110865518, 121043699, 132113990, 144151145, 157235728, 171454794, 186902378, 203680118, 221897371, 241672177, 263131947, 286414099, 311666577, 339049010, 368733323, 400904819, 435762891, 473522321, 514414421, 558688371, 606611903, 658473161, 714582293, 775272963, 840903590, 911859661, 988555491, 1071436551, 1160981211, 1257703311, 1362154768, 1474928603, 1596661039, 1728035032, 1869783638, 2022693659, 2187608856, 2365434522, 2557141380, 2763770461, 2986437494, 3226338492, 3484755360, 3763062031, 4062729655, 4385334200, 4732563786, 5106226244, 5508256432, 5940725729, 6405850958, 6906004666, 7443724822, 8021726425, 8642913480, 9310392148, 10027482793, 10797735208, 11624943975, 12513164867, 13466731247, 14490273342, 15588737255, 16767406434, 18031922783, 19388310666, 20843002039, 22402863823, 24075224166, 25867903478, 27789246692, 29848157522, 32054133074, 34417303040, 36948469842, 39659152949, 42561633130, 45669001477, 48995211342, 52555134442, 56364616610, 60440540567, 64800891735, 69464828452, 74452753925, 79786395725, 85488888083, 91584861342, 98100533373, 105063808944, 112504385182, 120453864648, 128945869713, 138016168564, 147702808293, 158046256706, 169089548405, 180878443051, 193461591539, 206890715405, 221220791736, 236510251389, 252821188879, 270219587197, 288775549390, 308563549113, 329662694390, 352157008057, 376135720249, 401693582261, 428931195946, 457955366734, 488879470582, 521823845034, 556916203228, 594292075636, 634095268252, 676478352798, 721603184080, 769641449818, 820775245735, 875197688016, 933113557410, 994739985980, 1060307174443, 1130059154548, 1204254594869, 1283167655641, 1367088880407, 1456326146765, 1551205669791, 1652073063620, 1759294453648, 1873257658190, 1994373433132, 2123076793124, 2259828394453, 2405115999320, 2559456022800, 2723395172009, 2897512161127, 3082419529482, 3278765558105, 3487236297601, 3708557697465, 3943497858458, 4192869402805, 4457531984624, 4738394924763, 5036419994592, 5352624351325, 5688083640746, 6043935250012, 6421381748121, 6821694511335, 7246217551112, 7696371534040, 8173658026082, 8679663960070, 9216066357359, 9784637285334, 10387249085069, 11025879878755, 11702619383608, 12419675013243, 13179378315523, 13984191749365, 14836715831635, 15739696646629, 16696033761107, 17708788550129, 18781192980683, 19916658836255, 21118787432603] For the set of patterns, {[0, 0, 0], [0, 0, 1], [0, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 15, 20, 27, 34, 46, 56, 72, 89, 114, 141, 176, 215, 264, 321, 392, 473, 577, 690, 830, 991, 1185, 1404, 1675, 1976, 2341, 2752, 3243, 3797, 4457, 5201, 6077, 7072, 8232, 9543, 11077, 12801, 14804, 17064, 19683, 22624, 26023, 29839, 34221, 39155, 44793, 51124, 58361, 66463, 75693, 86042, 97788, 110931, 125821, 142470, 161273, 182296, 205986, 232421, 262183, 295343, 332598, 374093, 420619, 472364, 530301, 594678, 666618, 746509, 835651, 934515, 1044695, 1166771, 1302605, 1453019, 1620154, 1805006, 2010200, 2236919, 2488245 , 2765759, 3073021, 3411979, 3786869, 4200087, 4656569, 5159368, 5714235, 6324836, 6998091, 7738341, 8553684, 9449554, 10435377, 11517672, 12707630, 14013087, 15447047, 17019121, 18744483, 20634584, 22707383, 24976487, 27462854, 30182932, 33161130, 36416979, 39979168, 43870920, 48125627, 52771065, 57846175, 63383691, 69429292, 76021687, 83213874, 91052031, 99597674, 108905108, 119046305, 130085039, 142104964, 155181325, 169411316, 184883093, 201709922, 219995121, 239869888, 261455790, 284904757, 310358831, 337994607, 367977890, 400513078, 435794070, 474057474, 515528982, 560482825, 609181803, 661942593, 719071510, 780934321, 847886529, 920351277, 998741043, 1083543692, 1175238373, 1274387438, 1381545673, 1497361898, 1622478223, 1757641507, 1903595022, 2061198305, 2231309708, 2414918777, 2613016444, 2826739674, 3057232427, 3305800962, 3573762818, 3862619162, 4173887065, 4509288479, 4870570269, 5259706936, 5678706544, 6129833096, 6615393940, 7137981457, 7700246105, 8305155613, 8955749529, 9655425259, 10407667102, 11216359286, 12085495067, 13019513335, 14022984940, 15100981547, 16258732826, 17502027322, 18836846136, 20269793802, 21807702933, 23458106920, 25228807965, 27128390612, 29165760699, 31350696934, 33693354722, 36204869559, 38896816338, 41781865003, 44873202978, 48185240409, 51732988586, 55532830805, 59601847200, 63958649909, 68622664567, 73615027532, 78957813999, 84675018197, 90791714730, 97335123262, 104333713392, 111818350670, 119821336917, 128377657683, 137523947109, 147299835453, 157746851001, 168909868962, 180835933682, 193575839641, 207182857089, 221714446211, 237230901222, 253797196005, 271481534489, 290357357229, 310501782786, 331997776184, 354932497659, 379399635866, 405497643998, 433332278533, 463014703127, 494664234572, 528406334889, 564375567437, 602713457313, 643571702824, 687109883554, 733498932092, 782918710850, 835561751984, 891630678479, 951342266448, 1014924689914, 1082621908497, 1154690765100, 1231405709431, 1313055719185, 1399949428055, 1492411841923, 1590789883981, 1695448936350, 1806778817107, 1925190119624, 2051120695902, 2185031770115, 2327414941597, 2478788107877, 2639703014724, 2810740951271, 2992520940618, 3185695183016, 3390957902904, 3609040587887, 3840721525121, 4086820795047, 4348210615526, 4625810057838, 4920596230215, 5233598769148, 5565911906912, 5918688701205, 6293154117361, 6690598976425, 7112394087320, 7559983980448, 8034902155309, 8538764551194, 9073286082328, 9640273817270, 10241644860443, 10879419319477, 11555739616694, 12272863208071, 13033183515117, 13839222388312, 14693652731738, 15599290808053, 16559120678654, 17576286298842, 18654118026863, 19796124501660, 21006021318961, 22287722826384, 23645373110132, 25083337679982, 26606237062259] For the set of patterns, {[0, 0, 0], [0, 0, 1], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 4, 5, 9, 10, 14, 19, 26, 32, 42, 51, 68, 84, 107, 130, 163, 197, 245, 298, 365, 437, 534, 635, 767, 913, 1095, 1294, 1545, 1819, 2158, 2532, 2986, 3493, 4105, 4779, 5588, 6494, 7569, 8766, 10177, 11749, 13599, 15666, 18068, 20752, 23877, 27361, 31394, 35899, 41076, 46857, 53500, 60910, 69380, 78827, 89591, 101601, 115260, 130465, 147702, 166898, 188601, 212764, 240028, 270322, 304433, 342340, 384928, 432205, 485235, 544044, 609881, 682863, 764411, 854740, 955534, 1067057, 1191312, 1328712, 1481544, 1650412, 1838031, 2045152, 2274958, 2528455, 2809327, 3118956, 3461680, 3839133, 4256393, 4715646, 5222793, 5780551 , 6395834, 7071974, 7817095, 8635386, 9536239, 10524831, 11612161, 12804506, 14114791, 15550709, 17127145, 18853513, 20747323, 22819863, 25091526, 27575940, 30296780, 33270564, 36524958, 40079562, 43966553, 48209506, 52845820, 57903691, 63426617, 69447919, 76018247, 83177374, 90984034, 99485370, 108749579, 118832213, 129812622, 141756610, 154755948, 168888167, 184259746, 200961809, 219117960, 238835331, 260256669, 283507694, 308753943, 336142584, 365865084, 398093600, 433049254, 470933401, 512001799, 556489007, 604690401, 656879528, 713397067, 774561612, 840766265, 912381055, 989859346, 1073631115, 1164218383, 1262120151, 1367937699, 1482248885, 1605745968, 1739098462, 1883102065, 2038531080, 2206300468, 2387304907, 2582595895, 2793206434, 3020343212, 3265198050, 3529156216, 3813591034, 4120091503, 4450239107, 4805854479, 5188757858, 5601035839, 6044780491, 6522380739, 7036240222, 7589092548, 8183697510, 8823181837, 9510710114, 10249856937, 11044250561, 11897974495, 12815184511, 13800543532, 14858807840, 15995300061, 17215461245, 18525361482, 19931220146, 21439958296, 23058680161, 24795272986, 26657846984, 28655383287, 30797134846, 33093326455, 35554507341, 38192310525, 41018756248, 44047072239, 47290948053, 50765419415, 54486064652, 58469964670, 62734839682, 67300084562, 72185844426, 77414131011, 83007830143, 88991912523, 95392367507, 102237506955, 109556826275, 117382411537, 125747718200, 134689094500, 144244470831, 154455000224, 165363661592, 177017030465, 189463782159, 202756605498, 216950599667, 232105337175, 248283158442, 265551395437, 283980545961, 303646675519, 324629467637, 347014814226, 370892742734, 396360204122, 423518858187, 452478088079, 483352641000, 516265874380, 551347248591, 588735823544, 628577587930, 671029237508, 716255333281, 764432368306, 815745754161, 870394202648, 928586524160, 990546358885, 1056508773712, 1126725356101, 1201460615874, 1280997474381, 1365633446944, 1455686565782, 1551491333902, 1653405105206, 1761803816267, 1877088858523, 1999682559645, 2130035599190, 2268622234193, 2415948288451, 2572546127021, 2738983261176, 2915857041967, 3103803947616, 3303493996654, 3515640753991, 3740995461908, 3980357817442, 4234569802243, 4504527319322, 4791173713635, 5095512304840, 5418599606543, 5761558836026, 6125572815115, 6511898552163, 6921859810934, 7356862823020, 7818388550456, 8308009630179, 8827382305002, 9378264709586, 9962508467721, 10582078409060, 11239043869332, 11935599955418, 12674058516251, 13456871097538, 14286619606050, 15166041076119, 16098018060668, 17085605341821, 18132020034514, 19240670441127, 20415145903400, 21659247936483, 22976979869887, 24372580445443] For the set of patterns, {[0, 0, 0], [0, 0, 1], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 14, 20, 27, 34, 43, 54, 70, 89, 110, 137, 168, 206, 254, 311, 377, 456, 550, 659, 790, 948, 1129, 1340, 1589, 1880, 2217, 2608, 3062, 3597, 4210, 4910, 5721, 6663, 7739, 8972, 10384, 12007, 13870, 15989, 18395, 21149, 24280, 27837, 31876, 36462, 41645, 47521, 54176, 61691, 70163, 79718, 90475, 102603, 116241, 131559, 148751, 168049, 189693, 213958, 241099, 271451, 305394, 343325, 385632, 432847, 485486, 544130, 609407, 682047, 762835, 852651, 952364, 1063042, 1185862, 1322056, 1472923, 1640030, 1825039, 2029755, 2256098, 2506238, 2782570, 3087789, 3424602, 3796074, 4205670, 4657142, 5154410, 5701930 , 6304520, 6967453, 7696393, 8497620, 9377912, 10344738, 11406029, 12570650, 13848216, 15249040, 16784303, 18466446, 20308798, 22325860, 24533304, 26948243, 29589235, 32476609, 35632057, 39079215, 42843835, 46953883, 51439465, 56333344, 61670759, 67490185, 73833137, 80744480, 88272764, 96470761, 105395076, 115107110, 125673390, 137165834, 149661740, 163244823, 178005286, 194041046, 211457532, 230368035, 250894813, 273170560, 297337829, 323550024, 351972552, 382784056, 416176747, 452357723, 491549488, 533992268, 579944637, 629684319, 683509997, 741743927, 804732126, 872846508, 946486695, 1026082769, 1112097002, 1205025783, 1305401458, 1413797006, 1530827993, 1657154241, 1793483546, 1940577037, 2099250867, 2270380247, 2454903859, 2653828874, 2868235083, 3099279954, 3348203574, 3616336271, 3905102952, 4216028929, 4550748483, 4911013670, 5298699086, 5715810967, 6164497238, 6647057504, 7165952571, 7723814690, 8323458261, 8967895341, 9660347550, 10404258092, 11203307231, 12061430397, 12982833163, 13972009473, 15033760243, 16173213847, 17395848525, 18707515149, 20114459129, 21623349803, 23241307482, 24975929809, 26835324120, 28828143321, 30963618676, 33251596668, 35702578179, 38327761867, 41139090616, 44149297555, 47371952291, 50821518992, 54513415186, 58464068362, 62690978928, 67212789980, 72049359792, 77221839749, 82752751738, 88666073607, 94987335228, 101743713922, 108964131541, 116679367773, 124922178455, 133727412283, 143132139572, 153175792430, 163900310904, 175350298370, 187573179482, 200619370567, 214542471495, 229399460684, 245250891660, 262161110306, 280198491126, 299435681274, 319949856841, 341822991392, 365142146919, 389999786898, 416494094303, 444729306546, 474816089827, 506871922622, 541021489335, 577397111961, 616139213432, 657396792037, 701327923070, 748100293402, 797891775728, 850891030908, 907298130984, 967325220839, 1031197243511, 1099152685248, 1171444349401, 1248340194858, 1330124229040, 1417097429769, 1509578725103, 1607906028960, 1712437345542, 1823551929506, 1941651496968, 2067161505432, 2200532540259, 2342241751138, 2492794347694, 2652725200598, 2822600552919, 3003019797988, 3194617354425, 3398064637756, 3614072167533, 3843391790091, 4086818997146, 4345195361031, 4619411151254, 4910408070417, 5219182122759, 5546786648291, 5894335540847, 6263006616919, 6654045180639, 7068767760365, 7508566073458, 7974911208904, 8469358007041, 8993549657376, 9549222612000, 10138211729858, 10762455667647, 11424002563772, 12125016068407, 12867781670958, 13654713367625, 14488360641986, 15371415859065, 16306722071523, 17297281209736, 18346262656518, 19457012352721, 20633062357860, 21878140902344] For the set of patterns, {[0, 0, 0], [0, 0, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 10, 14, 21, 27, 32, 43, 54, 71, 87, 110, 135, 167, 207, 255, 308, 376, 452, 551, 657, 795, 949, 1129, 1336, 1595, 1880, 2220, 2614, 3085, 3612, 4228, 4922, 5759, 6698, 7784, 9016, 10470, 12104, 13986, 16108, 18569, 21328, 24519, 28102, 32215, 36836, 42124, 48076, 54857, 62434, 71075, 80746, 91732, 104016, 117930, 133468, 151014, 170660, 192777, 217412, 245151, 276045, 310775, 349378, 392669, 440829, 494714, 554547, 621412, 695670, 778483, 870227, 972492, 1085766, 1211795, 1351184, 1506053, 1677370, 1867474, 2077338, 2309923, 2566778, 2851092, 3164498, 3511029, 3892897, 4314742, 4779037, 5291360, 5854962 , 6476193, 7158968, 7910938, 8736869, 9645448, 10642575, 11738770, 12940897, 14260979, 15707656, 17295133, 19033636, 20939737, 23025484, 25310522, 27809476, 30545088, 33534755, 36804843, 40376387, 44280266, 48541364, 53195361, 58271777, 63812921, 69853249, 76441861, 83619893, 91444237, 99963454, 109243563, 119342268, 130336425, 142293265, 155301878, 169441760, 184817204, 201520284, 219671173, 239379223, 260783941, 284012969, 309227076, 336575324, 366245465, 398410825, 433287567, 471078313, 512034050, 556390526, 604435727, 656445364, 712753332, 773678580, 839605278, 910904048, 988020682, 1071383907, 1161504432, 1258880921, 1364103830, 1477748870, 1600493176, 1733004347, 1876063120, 2030439208, 2197029470, 2376723140, 2570551678, 2779539263, 3004869506, 3247724975, 3509464037, 3791445427, 4095226902, 4422375753, 4774677183, 5153929537, 5562177591, 6001489197, 6474207250, 6982703615, 7529656309, 8117787614, 8750162885, 9429901291, 10160503889, 10945544077, 11789022129, 12695028999, 13668130451, 14713004497, 15834861553, 17039050704, 18331512665, 19718357169, 21206357960, 22802487974, 24514462101, 26350237191, 28318598277, 30428619556, 32690293421, 35113958366, 37710984958, 40493149953, 43473374503, 46665055894, 50082883807, 53742100359, 57659382819, 61852056546, 66339052501, 71140063090, 76276563066, 81770909501, 87647458458, 93931586893, 100650898643, 107834175169, 115512695493, 123719093876, 132488783159, 141858740484, 151869049618, 162561602117, 173981742994, 186176875967, 199198283026, 213099616437, 227938838029, 243776604178, 260678397973, 278712803759, 297953768503, 318478764391, 340371262545, 363718764184, 388615452541, 415160071493, 443458852158, 473623222563, 505772920987, 540033596132, 576540187249, 615434348039, 656868058422, 701000900858, 748004013486, 798057135627, 851352868193, 908093531368, 968495812412, 1032787401537, 1101211950576, 1174025555619, 1251502126797, 1333929607335, 1421615764947, 1514884195166, 1614080613906, 1719568566298, 1831736197803, 1950991734551, 2077770838381, 2212531781096, 2355763322086, 2507979645598, 2669728928269, 2841587928037, 3024171198383, 3218125377007, 3424139184359, 3642937394881, 3875291574830, 4122013708920, 4383967851417, 4662063404838, 4957267660309, 5270598713031, 5603139048800, 5956028056061, 6330476688658, 6727759606817, 7149231022554, 7596316455046, 8070529790123, 8573464628477, 9106812792641, 9672355254133, 10271982039140, 10907682734006, 11581568075274, 12295860038091, 13052915090035, 13855213813177, 14705386084888, 15606200346135, 16560590734422, 17571645842395, 18642638133233, 19777012330050, 20978417113951, 22250693085186, 23597907066704] For the set of patterns, {[0, 0, 0], [0, 0, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 15, 21, 27, 34, 45, 58, 73, 92, 115, 144, 178, 219, 271, 329, 402, 487, 590, 710, 853, 1023, 1221, 1454, 1731, 2048, 2420, 2856, 3365, 3950, 4633, 5420, 6334, 7385, 8592, 9980, 11583, 13412, 15512, 17914, 20664, 23793, 27367, 31431, 36063, 41309, 47276, 54035, 61703, 70362, 80167, 91244, 103737, 117819, 133698, 151556, 171656, 194227, 219590, 248024, 279931, 315658, 355669, 400420, 450473, 506364, 568802, 638421, 716094, 802615, 898980, 1006203 , 1125505, 1258081, 1405392, 1568931, 1750452, 1951739, 2174912, 2422104, 2695890, 2998864, 3334054, 3704577, 4114120, 4566416, 5065828, 5616851, 6224706 , 6894790, 7633292, 8446658, 9342304, 10327922, 11412234, 12604459, 13915079, 15354903, 16936313, 18672336, 20577585, 22667445, 24959197, 27471148, 30223726, 33238525, 36539662, 40152680, 44106086, 48429906, 53157715, 58325055, 63971288, 70138300, 76872359, 84222696, 92243683, 100993142, 110534772, 120936430, 132272879, 144623595, 158075918, 172723140, 188667305, 206017478, 224893004, 245421151, 267741331, 292002199, 318366106, 347006499, 378112579, 411886445, 448548185, 488333146, 531497322, 578314329, 629081748, 684117351, 743766652, 808398810, 878414276, 954241420, 1036344449, 1125219778, 1221405026, 1325475106 , 1438052027, 1559801076, 1691441701, 1833742845, 1987535618, 2153708892, 2333221921, 2527100653, 2736452064, 2962459625, 3206399287, 3469635288, 3753637591, 4059977766, 4390347883, 4746556553, 5130550704, 5544410991, 5990374950, 6470833938, 6988359256, 7545697638, 8145800502, 8791821063, 9487145506, 10235391142, 11040440292, 11906439268, 12837837080, 13839384022, 14916174226, 16073646211, 17317630338, 18654349307, 20090470548, 21633110326, 23289889537, 25068940597, 26978969278, 29029263111, 31229761801, 33591067013, 36124519212, 38842212554, 41757079932, 44882910350, 48234442864, 51827390408, 55678542123, 59805792494, 64228255883, 68966299486, 74041673016, 79477547204, 85298655564, 91531343697, 98203725199, 105345739314, 112989324190, 121168485403 , 129919487676, 139280935439, 149293985674, 160002440252, 171452984139, 183695294541, 196782299679, 210770309365, 225719303795, 241693079899, 258759574677, 276991033626, 296464369737, 317261356875, 339469028204, 363179899451, 388492409704, 415511179480, 444347496522, 475119614303, 507953292188, 542982130568, 580348176396, 620202304662, 662704885988, 708026226668, 756347307903, 807860284231, 862769305717, 921291085916, 983655811929, 1050107786998, 1120906446630, 1196327081578, 1276661966994, 1362221182063, 1453333860090, 1550349121067, 1653637455176, 1763591772192, 1880628945013, 2005190992522, 2137746786605, 2278793388412, 2428857946759, 2588499201025, 2758309584416, 2938916919209, 3130986748026, 3335224243447, 3552376795517, 3783236147390, 4028641276918, 4289480795065, 4566696133740, 4861284241229, 5174301122083, 5506864855052, 5860159519665, 6235438578277, 6634029230873, 7057336203905, 7506846578972, 7984134025475, 8490864163847, 9028799303109, 9599804370636, 10205852217210, 10849030195859, 11531546079142, 12255735354141, 13024067827494, 13839155710826, 14703760995795, 15620804408431, 16593373630609, 17624733226701, 18718333815732, 19877823051800, 21107055847292, 22410106549227, 23791280308139, 25255126568351, 26806451725224, 28450334054409, 30192137810684, 32037529741240] For the set of patterns, {[0, 0, 0], [0, 1, 0], [0, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 8, 11, 15, 19, 25, 33, 43, 53, 67, 85, 106, 132, 163, 199, 243, 297, 360, 437, 527, 630, 756, 901, 1072, 1274, 1511, 1785, 2104, 2474, 2902, 3399, 3973, 4635, 5401, 6282, 7289, 8446, 9774, 11287, 13018, 14992, 17245, 19813, 22731, 26039, 29801, 34062, 38881, 44336, 50497, 57450, 65301, 74146, 84108, 95315, 107907, 122048, 137925, 155721, 175651, 197971, 222945, 250857, 282051, 316878, 355725, 399039, 447301, 501023, 560818, 627296, 701171, 783239, 874328, 975376, 1087436, 1211615, 1349149, 1501392, 1669825, 1856065, 2061926, 2289310, 2540353, 2817417, 3123014, 3459919, 3831212, 4240192, 4690467, 5186003 , 5731081, 6330404, 6989129, 7712752, 8507384, 9379652, 10336733, 11386419, 12537273, 13798528, 15180235, 16693363, 18349763, 20162310, 22145060, 24313133, 26683032, 29272677, 32101410, 35190189, 38561923, 42241202, 46254730, 50631503, 55402785, 60602514, 66267438, 72437124, 79154520, 86466060, 94421807, 103075922 , 112487044, 122718265, 133837851, 145919530, 159042808, 173293441, 188764088, 205554445, 223772192, 243533466, 264963209, 288196157, 313377658, 340663874, 370223217, 402237026, 436900299, 474422971, 515031063, 558967386, 606493394, 657890112, 713459487, 773526170, 838439291, 908573481, 984331361, 1066145545, 1154480342, 1249834207, 1352742391, 1463778852, 1583559855, 1712746506, 1852047514, 2002223072, 2164088670, 2338517822, 2526447095, 2728880383, 2946892889, 3181636514, 3434345372, 3706340357, 3999036499, 4313948454, 4652696996, 5017017032, 5408765237, 5829927115, 6282626996, 6769136967, 7291886179, 7853471911, 8456671002, 9104450681, 9799982565, 10546655343, 11348088896, 12208150113, 13130969554, 14120956637, 15182820132, 16321587227, 17542623101, 18851653999, 20254790659, 21758551738, 23369892373, 25096230773, 26945477641, 28926068966, 31046999716, 33317857361, 35748862386, 38350907342, 41135598740, 44115303278, 47303196165, 50713310372, 54360592641, 58260959880, 62431359244, 66889833953, 71655592250, 76749076530, 82192043990, 88007646824, 94220517145, 100856860264, 107944552052, 115513238814, 123594449814, 132221710853, 141430665479, 151259206638, 161747613367, 172938692744, 184877938255, 197613690434, 211197307745, 225683350306, 241129774392, 257598132578, 275153794404, 293866172885, 313808964937, 335060410655, 357703563337, 381826571477, 407522988149, 434892088065, 464039204549, 495076090184, 528121296425, 563300568866, 600747276103, 640602852958, 683017272820, 728149549719, 776168265085, 827252119920, 881590530752, 939384249318, 1000846015740, 1066201256082, 1135688816429, 1209561729879, 1288088041880, 1371551667338, 1460253300459, 1554511379693, 1654663101544, 1761065484534, 1874096509323, 1994156306133, 2121668409101, 2257081089496, 2400868756530, 2553533426948, 2715606293057, 2887649359577, 3070257177107, 3264058673980, 3469719082753, 3687941964420, 3919471363263, 4165094059459, 4425641946178, 4701994545200, 4995081654032, 5305886122770, 5635446804049, 5984861642274, 6355290932666, 6747960764422, 7164166639376, 7605277273540, 8072738632525, 8568078152293, 9092909190197, 9648935725527, 10237957301356, 10861874214684, 11522693010101, 12222532236138, 12963628514697, 13748342938729, 14579167796685, 15458733638635, 16389816746722, 17375346963487, 18418415935865] For the set of patterns, {[0, 0, 0], [0, 1, 0], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 4, 5, 8, 11, 14, 18, 24, 32, 42, 51, 64, 81, 102, 127, 158, 193, 234, 285, 348, 421, 509, 611, 733, 874, 1039, 1234, 1465, 1731, 2042, 2405, 2826, 3310, 3871, 4517, 5266, 6125, 7110, 8243, 9552, 11043, 12741, 14680, 16898, 19421, 22292, 25550, 29252, 33451, 38214, 43608, 49706, 56575, 64334, 73093, 82964, 94061, 106541, 120563, 136318, 153996, 173815, 196011, 220859, 248639, 279705, 314410, 353144, 396337, 444498, 498146, 557874, 624325, 698229, 780358, 871575, 972791, 1085088, 1209617, 1347617, 1500425, 1669575, 1856706, 2063636, 2292323, 2544964, 2823923, 3131775, 3471300, 3845661, 4258245, 4712715, 5213060 , 5763734, 6369503, 7035602, 7767693, 8572011, 9455305, 10424954, 11488936, 12656035, 13935688, 15338181, 16874728, 18557612, 20399992, 22416233, 24621930, 27034116, 29671161, 32552985, 35701122, 39139131, 42892455, 46988650, 51457502, 56331391, 61645206, 67436894, 73747486, 80621387, 88106430, 96254470, 105121570 , 114768523, 125260736, 136668864, 149069228, 162544443, 177183461, 193082452, 210345052, 229083135, 249417211, 271477391, 295403808, 321347712, 349471752, 379951250, 412975107, 448746936, 487485488, 529426450, 574823489, 623949661, 677098263, 734584909, 796749019, 863955917, 936597650, 1015095514, 1099902290, 1191504719, 1290425042, 1397224352, 1512504909, 1636913259, 1771142907, 1915938455, 2072098604, 2240480301, 2422001852, 2617648152, 2828475208, 3055615238, 3300280854, 3563771857, 3847480630, 4152898714, 4481622936, 4835363646, 5215951719, 5625347314, 6065647497, 6539096699, 7048096298, 7595215376, 8183200738, 8814990660, 9493726769, 10222767650, 11005702327, 11846367165, 12748861604, 13717566208, 14757159362, 15872638319, 17069339781, 18352962739, 19729590615, 21205718316, 22788277400, 24484664868, 26302772820, 28251022408, 30338396195, 32574474970, 34969474551, 37534288883, 40280532580, 43220587114, 46367647515, 49735777044, 53339960821, 57196164899, 61321396786, 65733773051, 70452587194, 75498385269, 80893042447, 86659848577, 92823594681, 99410666886, 106449143939, 113968906532, 122001745947, 130581481857, 139744086170, 149527819728, 159973370532, 171124003458, 183025714778, 195727402751, 209281043201, 223741877712, 239168609396, 255623617423, 273173175515, 291887687868, 311841937460, 333115354390, 355792290549, 379962315884, 405720528212, 433167888971, 462411570013, 493565323419, 526749869516, 562093317174, 599731596760, 639808922909, 682478281383, 727901951573, 776252048288, 827711101546, 882472662927, 940741955645, 1002736552329, 1068687097112, 1138838063625, 1213448565276, 1292793196171, 1377162929189, 1466866063142, 1562229230079, 1663598442775, 1771340211085, 1885842715469, 2007517058119, 2136798569809, 2274148195074, 2420053947904, 2575032462741, 2739630614141, 2914427236185, 3100034931735, 3297101990453, 3506314394845, 3728397950599, 3964120525174, 4214294421866, 4479778865654, 4761482634590, 5060366828512, 5377447804630, 5713800247712, 6070560420391, 6448929585768, 6850177627004, 7275646838867, 7726755940819, 8205004294717, 8711976365139, 9249346398657, 9818883367858, 10422456168764, 11062039112965, 11739717684714, 12457694626129, 13218296339554, 14023979640738, 14877338839653, 15781113220385, 16738194904552, 17751637149676, 18824663057148, 19960674753417] For the set of patterns, {[0, 0, 0], [0, 1, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 8, 11, 14, 20, 26, 34, 42, 54, 69, 88, 109, 136, 167, 206, 251, 311, 376, 456, 550, 661, 793, 950, 1134, 1349, 1601, 1895, 2236, 2636, 3098, 3640, 4263, 4982, 5811, 6770, 7872, 9135, 10589, 12249, 14161, 16340, 18825, 21655, 24887, 28557, 32731, 37471, 42844, 48928, 55826, 63619, 72429, 82356, 93560, 106178, 120400, 136372, 154336, 174501, 197138, 222515, 250964, 282787, 318404, 358209, 402697, 452347, 507769, 569531, 638371, 715014, 800321, 895198, 1000676, 1117818, 1247904, 1392218, 1552277, 1729664, 1926229, 2143823, 2384648 , 2650985, 2945431, 3270787, 3630163, 4026844, 4464518, 4947206, 5479307, 6065579, 6711302, 7422102, 8204317, 9064649, 10010551, 11050076, 12192057, 13446021, 14822473, 16332779, 17989210, 19805264, 21795599, 23976081, 26364022, 28978152, 31838892, 34968401, 38390770, 42132005, 46220418, 50686777, 55564294, 60889215, 66700523, 73040613, 79955334, 87494475, 95711769, 104665570, 114418803, 125039535, 136601556, 149184661, 162874818, 177765253, 193956392, 211557015, 230684303, 251465170, 274035912, 298544353, 325149462, 354023082, 385350188, 419330547, 456179005, 496127744, 539426357, 586344117, 637170636, 692218311, 751822582, 816345645, 886176142, 961733005, 1043466229, 1131860578, 1227436182, 1330753327, 1442413307, 1563062872, 1693396432, 1834160741, 1986156537, 2150244918, 2327349177, 2518461613, 2724646138, 2947045314, 3186883404, 3445475398, 3724230103, 4024659217, 4348382460, 4697136985, 5072782766, 5477315035, 5912869654, 6381735787, 6886363547, 7429378295, 8013588889, 8642004343, 9317843104, 10044550614, 10825812521, 11665572893, 12568048524, 13537750970, 14579502506, 15698460446, 16900136545, 18190423464, 19575615383, 21062440641, 22658084800, 24370225155, 26207060121, 28177345632, 30290428158, 32556287822, 34985576293, 37589662570, 40380677417, 43371565121, 46576132731, 50009111053, 53686207790, 57624175020, 61840873151, 66355344747, 71187886287, 76360132398, 81895136570, 87817463262, 94153284183, 100930479727, 108178744130, 115929703788, 124217034299, 133076591879, 142546548969, 152667539897, 163482810254, 175038384149, 187383234086, 200569464445, 214652506126, 229691318594, 245748608955, 262891064126, 281189593579, 300719587279, 321561191228, 343799595579, 367525341617, 392834651520, 419829769634, 448619324918, 479318722718, 512050548296, 546945003433, 584140361465, 623783455052, 666030182554, 711046059748, 759006785841, 810098854440, 864520194543, 922480850020, 984203694844, 1049925200967, 1119896230540, 1194382892485, 1273667434273, 1358049199294, 1447845615450, 1543393273633, 1645049027755, 1753191192637, 1868220785801, 1990562857780, 2120667873402, 2259013201621, 2406104656870, 2562478155761, 2728701445287, 2905375947048, 3093138673029, 3292664295049, 3504667276351, 3729904174775, 3969176025070, 4223330894506, 4493266536237, 4779933247378, 5084336820785, 5407541711490, 5750674338986, 6114926604934, 6501559562810, 6911907347056, 7347381244430, 7809474054882, 8299764633779, 8819922740075, 9371714076104, 9957005687263, 10577771559125, 11236098603159, 11934192900058, 12674386339161, 13459143544210, 14291069255153, 15172916016230, 16107592366976, 17098171392214, 18147899797845, 19260207386795, 20438717156009, 21687255802834, 23009864906890, 24410812605363, 25894605975665] For the set of patterns, {[0, 0, 0], [0, 1, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 8, 10, 14, 20, 25, 31, 41, 52, 66, 83, 103, 127, 157, 194, 236, 288, 350, 421, 509, 610, 731, 873, 1036, 1231, 1461, 1723, 2029, 2390, 2804, 3281, 3834, 4471, 5210, 6057, 7028, 8143, 9423, 10882, 12546, 14449, 16616, 19080, 21892, 25080, 28694, 32798, 37435, 42680, 48613, 55295, 62838, 71344, 80921, 91691, 103800, 117393, 132648, 149765, 168918, 190357, 214359, 241174, 271133, 304581, 341902, 383503, 429849, 481450, 538868, 602722, 673662, 752437, 839908, 936923, 1044475, 1163666, 1295674, 1441796, 1603460, 1782192, 1979728, 2197960, 2438864, 2704693, 2997925, 3321169, 3677361, 4069706, 4501648, 4976949 , 5499797, 6074639, 6706404, 7400452, 8162533, 8999015, 9916851, 10923437, 12026954, 13236317, 14561113, 16011834, 17599889, 19337534, 21238271, 23316664, 25588436, 28070714, 30782127, 33742766, 36974396, 40500724, 44347302, 48541814, 53114353, 58097232, 63525696, 69437785, 75874438, 82880079, 90502883, 98794612, 107811259, 117613427, 128266394, 139840724, 152412662, 166064092, 180883754, 196967340, 214417692, 233345893, 253871795, 276124253, 300242248, 326375460, 354685035, 385344428, 418540520, 454473993, 493361096, 535434696, 580944525, 630159455, 683368923, 740883288, 803036553, 870187467, 942721180, 1021051551, 1105623050, 1196912376, 1295431675, 1401730567, 1516398256, 1640067146, 1773415868, 1917171461, 2072113749, 2239078851, 2418962745, 2612725560, 2821396259, 3046076406, 3287946497, 3548270909, 3828402517, 4129789905, 4453984211, 4802644513, 5177546482, 5580589880, 6013806252, 6479368593, 6979600997, 7516986938, 8094182188, 8714025480, 9379549327, 10093994411, 10860823576, 11683734505, 12566676802, 13513868228, 14529811455, 15619313603, 16787506206, 18039863947, 19382230148, 20820839560, 22362341886, 24013830004, 25782869303, 27677525723, 29706399296, 31878658407, 34204074384, 36693061546, 39356718546, 42206867809, 45256105962, 48517851188, 52006392403, 55736946495, 59725717110, 63989953412, 68548017887, 73419454978, 78625063213, 84186975185, 90128740456, 96475408462, 103253626282, 110491736055, 118219875999, 126470092860, 135276459992, 144675197256, 154704805728, 165406205073, 176822878796, 189001031936, 201989756478, 215841200447, 230610757753, 246357263150, 263143193771, 281034891035, 300102794713, 320421680822, 342070925987, 365134778718, 389702647388, 415869409292, 443735734090, 473408420535, 505000763778, 538632938610, 574432397169, 612534299169, 653081968728, 696227360927, 742131573717, 790965378449, 842909778102, 898156607639, 956909160463, 1019382843010, 1085805884477, 1156420074760, 1231481538488, 1311261562091, 1396047468297, 1486143525155, 1581871922761, 1683573793687, 1791610287577, 1906363715468, 2028238754727, 2157663703799, 2295091831470, 2441002788228, 2595904084887, 2760332668163, 2934856582041, 3120076700587, 3316628578735, 3525184391763, 3746454974539, 3981191986788, 4230190190454, 4494289828198, 4774379167192, 5071397161073, 5386336243840, 5720245292623, 6074232748356, 6449469883875, 6847194274479, 7268713434878, 7715408647506, 8188739012264, 8690245706171, 9221556443503, 9784390211918, 10380562242174, 11011989224954, 11680694823522, 12388815481655, 13138606505559, 13932448503628, 14772854141991, 15662475246321, 16604110302287, 17600712339018] For the set of patterns, {[0, 0, 0], [0, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 8, 11, 15, 20, 25, 33, 43, 56, 69, 88, 108, 136, 168, 206, 254, 310, 377, 457, 549, 663, 792, 951, 1135, 1351, 1602, 1895, 2236, 2635, 3097, 3635, 4259, 4978, 5807, 6763, 7860, 9124, 10570, 12229, 14131, 16303, 18780, 21603, 24823, 28480, 32642, 37357, 42714, 48775, 55633, 63392, 72152, 82042, 93189, 105741, 119889, 135780, 153649, 173702, 196208, 221439, 249697, 281323, 316723, 356271, 400479, 449793, 504837, 566183, 634536, 710645, 795330, 889500, 994172, 1110412, 1239492, 1382667, 1541457, 1717417, 1912353, 2128140, 2366922, 2630980, 2922894, 3245387, 3601539, 3994620, 4428311, 4906526, 5433640, 6014355 , 6653901, 7357829, 8132371, 8984165, 9920612, 10949616, 12079900, 13320916, 14683003, 16177337, 17816125, 19612633, 21581352, 23737889, 26099393, 28684282, 31512837, 34606737, 37989770, 41687655, 45728304, 50142051, 54961631, 60222677, 65963777, 72226592, 79056413, 86502186, 94616958, 103458135, 113087701, 123572849, 134986195, 147406139, 160917544, 175612050, 191588716, 208954522, 227824767, 248324330, 270587567, 294759765, 320997437, 349469464, 380358107, 413859562, 450185495, 489564024, 532240648, 578480247, 628567367, 682809281, 741535875, 805102817, 873892414, 948316158, 1028816638, 1115869656, 1209986613, 1311717849, 1421653956, 1540430491, 1668729215, 1807283381, 1956879779, 2118363515, 2292641397, 2480687418, 2683545882, 2902338332, 3138266571, 3392620987, 3666784211, 3962239261, 4280575393, 4623496729, 4992828500, 5390527392, 5818687985, 6279555639, 6775533149, 7309194593, 7883294285, 8500781827, 9164812666, 9878764318, 10646248803, 11471131739, 12357545602, 13309911374, 14332953855, 15431726405, 16611628320, 17878431544, 19238302068, 20697829333, 22264051112, 23944485426, 25747159297, 27680646304, 29754096974, 31977282135, 34360627213, 36915260942, 39653055860, 42586679588, 45729644037, 49096362217, 52702203011, 56563556333, 60697893121, 65123841718, 69861253629, 74931288213, 80356490123, 86160881988, 92370053837, 99011265211, 106113546282, 113707815232, 121826989381, 130506116988, 139782504523, 149695863137, 160288453582, 171605247839, 183694093819, 196605898507, 210394810084, 225118424815, 240837991551, 257618644409, 275529633626, 294644581453, 315041747330, 336804311609, 360020673940, 384784771150, 411196409969, 439361628692, 469393064379, 501410359548, 535540575059, 571918643839, 610687837168, 652000264914, 696017404834, 742910660176, 792861950296, 846064336114, 902722678210, 963054341552, 1027289927910, 1095674060492, 1168466208803, 1245941561472, 1328391950303, 1416126822194, 1509474271535, 1608782132187, 1714419121685, 1826776062403, 1946267162068, 2073331371436, 2208433821021, 2352067323222, 2504753984271, 2667046881401, 2839531850152, 3022829363122, 3217596513494, 3424529118131, 3644363925272, 3877880947100, 4125905934462, 4389312963996, 4669027199548, 4966027767855, 5281350830068, 5616092794947, 5971413723614, 6348540908246, 6748772661585, 7173482296936, 7624122344001, 8102228966618, 8609426655994, 9147433144335, 9718064614583, 10323241160325, 10964992576033, 11645464425356, 12366924472043, 13131769409031, 13942532009539, 14801888598049, 15712666982421, 16677854749639, 17700608060423, 18784260870785, 19932334674244, 21148548730253, 22436830878108, 23801328870906, 25246422377495] For the set of patterns, {[0, 0, 0], [0, 1, 1], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 4, 5, 9, 11, 15, 18, 25, 34, 44, 52, 68, 85, 110, 132, 167, 201, 249, 303, 371, 446, 543, 646, 782, 926, 1110, 1317, 1574, 1847, 2190, 2570, 3034, 3538, 4155, 4849, 5676, 6585, 7661, 8873, 10315, 11892, 13748, 15832, 18277, 20993, 24136, 27639, 31716, 36245, 41468, 47280, 53972, 61406, 69942, 79459, 90296, 102346, 116069, 131332, 148674, 167911, 189710, 213921, 241271, 271641, 305868, 343838, 386508, 433820, 486974, 545776, 611671, 684614, 766237, 856494, 957217, 1068564, 1192783, 1329937, 1482541, 1650953, 1838247, 2044748, 2273909, 2526448, 2806521, 3114899, 3456262, 3831834, 4247377, 4704354, 5208966, 5763440 , 6375384, 7047363, 7788009, 8600605, 9495551, 10476925, 11556488, 12739424, 14039653, 15463487, 17026888, 18737929, 20615275, 22668279, 24918662, 27378376, 30072615, 33015438, 36235903, 39751447, 43596222, 47790672, 52374053, 57371304, 62828244, 68774553, 75263160, 82329752, 90035191, 98422158, 107561497, 117503775, 128330976, 140102491, 152913629, 166835139, 181976715, 198421680, 216296962, 235701333, 256780768, 279651390, 304482800, 331410579, 360630062, 392300407, 426647646, 463858884, 504192665, 547867551, 595183752, 646396642, 701850144, 761840842, 826767078, 896975568, 972922381, 1055009567, 1143762857, 1239652099, 1343279809, 1455188252, 1576071976, 1706561599, 1847452703, 1999473881, 2163539861, 2340495681, 2531388430, 2737192528, 2959110524, 3198269894, 3456046304, 3733737617, 4032922296, 4355098194, 4702068691, 5075557721, 5477631587, 5910273535, 6375843642, 6876620898, 7415306294, 7994518542, 8617337772, 9286769032, 10006334408, 10779480755, 11610221284, 12502504133, 13460913323, 14489970536, 15594897115, 16780864392, 18053824621, 19419695270, 20885251720, 22457252271, 24143412218, 25951449118, 27890138814, 29968288777, 32195881043, 34582957115, 37140860947, 39881037652, 42816378440, 45959916983, 49326287981, 52930326136, 56788647522, 60918127031, 65337610481, 70066284007, 75125519721, 80537114724, 86325294838, 92514812861, 99133113904, 106208284201, 113771405415, 121854341722, 130492275242, 139721320260, 149581276552, 160113078538, 171361739485, 183373601481, 196199545480, 209892032559, 224508561892, 240108472046, 256756697754, 274520346686, 293472729713, 313689678919, 335253916159, 358251120932, 382774611529, 408921099145, 436795798079, 466507874902, 498175920038, 531923055585, 567882864448, 606194193177, 647007496350, 690479223711, 736778722108, 786082248672, 838580380867, 894471559369, 953970125168, 1017299448289, 1084700525957, 1156424637712, 1232742635673, 1313937110546, 1400312370679, 1492186029384, 1589899841355, 1693810713340, 1804302304900, 1921775431494, 2046660633160, 2179407948164, 2320500350717, 2470442846677, 2629777026843, 2799069442234, 2978927208932, 3169985586556, 3372924872963, 3588457199142, 3817344606275, 4060384984429, 4318431636893, 4592378308448, 4883180159719, 5191837829796, 5519420108015, 5867047009057, 6235914074465, 6627274374282, 7042464742028, 7482886707975, 7950034628546, 8445475414361, 8970878921649, 9527996433721, 10118693295358, 10744926109741, 11408777897627, 12112433965100, 12858219649476, 13648574770191, 14486094339197, 15373501512867, 16313691295966, 17309701946638, 18364762127521, 19482260675901, 20665797201044, 21919150211011, 23246331620103] For the set of patterns, {[0, 0, 0], [0, 1, 1], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 12, 15, 20, 27, 36, 46, 58, 73, 95, 117, 146, 181, 222, 274, 338, 409, 498, 599, 724, 869, 1044, 1247, 1486, 1764, 2090, 2470, 2925, 3436, 4040, 4737, 5547, 6475, 7555, 8788, 10221, 11861, 13737, 15886, 18362, 21172, 24387, 28052, 32226, 36973, 42379, 48491, 55449, 63316, 72231, 82304, 93697, 106529, 121011, 137337, 155717, 176377, 199631, 225708, 254996, 287846, 324633, 365834, 411930, 463453, 521056, 585369, 657128, 737147, 826368, 925692, 1036251 , 1159284, 1296009, 1447942, 1616674, 1803889, 2011628, 2241930, 2497052, 2779638, 3092439, 3438496, 3821117, 4244052, 4711212, 5227066, 5796373, 6424335 , 7116762, 7880016, 8720665, 9646434, 10665413, 11786452, 13019281, 14374614, 15863765, 17499523, 19295452, 21266500, 23428895, 25800468, 28400063, 31249011, 34369840, 37787218, 41527974, 45621516, 50099089, 54995496, 60347716, 66196429, 72585294, 79562376, 87178595, 95490487, 104558377, 114447942, 125230152, 136982517, 149787338, 163735761, 178924662, 195459766, 213454939, 233033938, 254329141, 277485347, 302657442, 330013772, 359735208, 392018433, 427073210, 465128805, 506430587, 551243732, 599853965, 652570441, 709723922, 771674174, 838805504, 911534124, 990306868, 1075606615, 1167950098, 1267896921, 1376046966 , 1493046479, 1619589463, 1756424890, 1904353565, 2064241975, 2237016301, 2423674475, 2625287822, 2843008637, 3078070528, 3331803179, 3605630047, 3901081568, 4219797549, 4563541597, 4934200061, 5333802221, 5764519884, 6228683446, 6728791025, 7267522319, 7847742963, 8472532063, 9145181827, 9869221501, 10648429222, 11486854493, 12388826328, 13358986223, 14402296020, 15524068419, 16729986826, 18026134657, 19419010566, 20915575385, 22523264684, 24250030734, 26104373928, 28095382628, 30232762296, 32526892567, 34988855165, 37630490864, 40464444921, 43504225940, 46764246914, 50259907964, 54007640071, 58024980531, 62330646488, 66944611522, 71888175247, 77184071509, 82856537923, 88931424769, 95436297197, 102400546186, 109855493857, 117834537254, 126373262719, 135509588410, 145283920580, 155739306534, 166921587062, 178879603128, 191665356606, 205334217073, 219945142885, 235560893726, 252248265480, 270078359907, 289126831683, 309474177929, 331206045702, 354413545540, 379193574316, 405649198360, 433890017938, 464032555403, 496200709805, 530526184239, 567148958383, 606217822977, 647890883070, 692336126026, 739732051429, 790268272051, 844146192636, 901579734677, 962796081599, 1028036455970, 1097556997586, 1171629627405, 1250542989789, 1334603474352, 1424136253492, 1519486373726, 1621020003082, 1729125611304, 1844215315648, 1966726287410, 2097122220842, 2235894859983, 2383565708395, 2540687715365, 2707847140664, 2885665499345, 3074801631162, 3275953807624, 3489862137875, 3717310888767, 3959131083290, 4216203221497, 4489460130722, 4779889921336, 5088539283003, 5416516733549, 5764996240540, 6135220933004, 6528507095936, 6946248251311, 7389919709434, 7861083085970, 8361391262841, 8892593565740, 9456541257661, 10055193171923, 10690621991989, 11365020468414, 12080708302261, 12840139226402, 13645908574651, 14500761088780, 15407599484287, 16369493064486, 17389687135129, 18471612745532, 19618897113261, 20835374300634, 22125096974595, 23492348237285, 24941654520373, 26477798947373, 28105835556316, 29831104002858, 31659245578941, 33596219425959] For the set of patterns, {[0, 0, 0], [0, 1, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 15, 21, 28, 35, 46, 57, 74, 96, 120, 147, 183, 225, 279, 344, 418, 507, 615, 739, 893, 1072, 1286, 1530, 1825, 2160, 2558, 3027, 3564, 4198, 4937, 5780, 6761, 7897, 9205, 10703, 12445, 14420, 16717, 19340, 22333, 25746, 29660, 34110, 39189, 44963, 51516, 58961, 67432, 77009, 87854, 100116, 113966, 129605, 147290, 167155, 189560, 214761, 243104, 274944, 310736, 350802, 395750, 446097, 502461, 565486, 636002, 714673, 802549, 900594, 1009876, 1131676, 1267358, 1418252, 1586135, 1772741, 1980058, 2210232, 2465791, 2749069 , 3063218, 3411221, 3796599, 4223158, 4695218, 5217016, 5793784, 6430916, 7134416, 7910801, 8767511, 9711850, 10752901, 11899765, 13162695, 14552814, 16082524, 17764730, 19614303, 21646923, 23879632, 26331258, 29022602, 31975244, 35214108, 38765035, 42656929, 46920789, 51591104, 56703732, 62299488, 68421542, 75117138, 82437642, 90439007, 99180583, 108728806, 119154244, 130534147, 142951569, 156497808, 171269148, 187373350, 204924333, 224046650, 244874552, 267554286, 292241992, 319109233, 348339605, 380131719, 414700271, 452278770, 493115961, 537484958, 585676709, 638007291, 694816650, 756474148, 823373313, 895944150, 974646190, 1059976347, 1152469852, 1252705207, 1361301052, 1478929802, 1606310553, 1744219619, 1893491741, 2055028494, 2229792988, 2418830318, 2623257149, 2844277929, 3083185497, 3341374266, 3620334374, 3921677255, 4247126366, 4598535958, 4977896339, 5387349364, 5829184721, 6305872238, 6820052374, 7374563122, 7972447250, 8616974592, 9311639956, 10060205104, 10866691202, 11735414750, 12670998870, 13678405197, 14762933715, 15930282193, 17186536373, 18538222816, 19992323635, 21556323401, 23238216634, 25046579947, 26990574958, 29080009109, 31325371069, 33737889364, 36329551550, 39113202122, 42102549303, 45312259724, 48757999223, 52456527199, 56425720219, 60684711328, 65253909614, 70155127078, 75411648623, 81048351901, 87091764972, 93570242542, 100514017112, 107955367796, 115928725493, 124470844261, 133620889198, 143420684587, 153914793156, 165150753455, 177179235526, 190054279361, 203833441723, 218578120399, 234353695595, 251229854972, 269280821205, 288585695382, 309228666556, 331299467353, 354893585930, 380112723033, 407065126651, 435866061340, 466638141927, 499511930864, 534626294611, 572129012172, 612177279101, 654938349051, 700590028784, 749321511510, 801333887429, 856841018564, 916070223074, 979263202973, 1046676751328, 1118583901644, 1195274691700, 1277057350523, 1364259309503, 1457228459682, 1556334216308, 1661969061912, 1774549683965, 1894518611237, 2022345640912, 2158529614141, 2303599910312, 2458118594987, 2622682043410, 2797923212714, 2984513668777, 3183166022634, 3394636107327, 3619725873961, 3859285768573, 4114217834017, 4385478576552, 4674082354813, 4981104429622, 5307684990664, 5655032473518, 6024427897666, 6417228838729, 6834874129048, 7278888182014, 7750886456890, 8252580234284, 8785782477821, 9352413488209, 9954507303340, 10594217826314, 11273826288553, 11995747927389, 12762540110580, 13576910109966, 14441724021056, 15360015226965, 16334994654285, 17370060092918, 18468807330275, 19635040978814, 20872786657499, 22186302834834, 23580094757627, 25058927497343, 26627841148661, 28292165807894, 30057538276557, 31929918427792, 33915608259645, 36021269922314, 38253946530196, 40621082761650, 43130547704679] For the set of patterns, {[0, 0, 0], [0, 1, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 12, 16, 21, 27, 36, 48, 61, 77, 99, 123, 152, 189, 235, 292, 359, 437, 531, 643, 776, 935, 1125, 1347, 1609, 1918, 2277, 2698, 3196, 3769, 4438, 5214, 6113, 7158, 8370, 9760, 11363, 13216, 15340, 17779, 20580, 23781, 27446, 31628, 36400, 41842, 48045, 55085, 63087, 72176, 82482, 94150, 107361, 122290, 139162, 158206, 179671, 203867, 231123, 261757, 296196, 334886, 378307, 427005, 481598, 542721, 611132, 687644, 773144, 868641, 975268, 1094178, 1226752, 1374444, 1538866, 1721852, 1925391, 2151592, 2402889, 2681895, 2991471 , 3334811, 3715447, 4137131, 4604110, 5120972, 5692700, 6324853, 7023563, 7795370, 8647586, 9588135, 10625664, 11769695, 13030645, 14419758, 15949539, 17633487, 19486278, 21524042, 23764447, 26226510, 28931176, 31901195, 35161305, 38738527, 42662257, 46964329, 51679676, 56846082, 62504573, 68699884, 75480760, 82899747, 91014257, 99886506, 109583951, 120179959, 131754098, 144392354, 158188437, 173243642, 189667617, 207579391, 227108027, 248392797, 271584896, 296847767, 324358129, 354307499, 386903006, 422368007, 460944656, 502894425, 548499489, 598065055, 651920867, 710422398, 773954022, 842930194, 917797989, 999040075, 1087177165, 1182769945, 1286423896, 1398791099, 1520574041, 1652530161, 1795475382, 1950287637, 2117913245, 2299370544, 2495755243, 2708247071, 2938115428, 3186724859, 3455544153, 3746152108, 4060245597, 4399649427, 4766325007, 5162378407, 5590073719, 6051842392, 6550294805, 7088234736, 7668672397, 8294837665, 8970198129, 9698473649, 10483654347, 11330021223, 12242165513, 13225008578, 14283828627, 15424282607, 16652432023, 17974773423, 19398267526, 20930369066, 22579064552, 24352905296, 26261046495, 28313290394, 30520129444, 32892790620, 35443290021, 38184482850, 41130119008, 44294906365, 47694574045, 51345938364, 55266980767, 59476920970, 63996299026, 68847067187, 74052681333, 79638196744, 85630380838, 92057821662, 98951046083, 106342650455, 114267434942, 122762544210, 131867627167, 141624993975, 152079788134, 163280176249, 175277539662, 188126677334, 201886035312, 216617935217, 232388821415, 249269530159, 267335567498, 286667403049, 307350794862, 329477118103, 353143719724, 378454303859, 405519330006, 434456431974, 465390881069, 498456057989, 533793958665, 571555741362, 611902294522, 655004837454, 701045575964, 750218373937, 802729473975, 858798273453, 918658131267, 982557221087, 1050759458136, 1123545455474, 1201213543574, 1284080866212, 1372484523491, 1466782781325, 1567356376375, 1674609868578, 1788973082998, 1910902652463, 2040883630569, 2179431196786, 2327092491151, 2484448522368, 2652116194615, 2830750474666, 3021046660757, 3223742778871, 3439622153118, 3669516085903, 3914306702185, 4174929981944, 4452378939213, 4747706982468, 5062031501872, 5396537622980, 5752482183470, 6131197964988, 6534098134770, 6962680935986, 7418534688860, 7903343025052, 8418890430564, 8967068136094, 9549880300410, 10169450540797, 10828028880182, 11527999027449, 12271886079286, 13062364692242, 13902267669017, 14794595022096, 15742523593549, 16749417153953, 17818837073243, 18954553626446, 20160557877816, 21441074221401, 22800573678272, 24243787853152, 25775723672756, 27401678991354, 29127258996632, 30958393508579, 32901355296446, 34962779324961, 37149683062089, 39469487951213, 41930041988098, 44539643525522, 47307066455584, 50241586658727] For the set of patterns, {[0, 0, 0], [1, 0, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 4, 5, 9, 11, 14, 18, 26, 33, 42, 52, 66, 85, 106, 130, 163, 197, 242, 297, 361, 434, 525, 632, 756, 902, 1078, 1280, 1516, 1789, 2114, 2492, 2923, 3422, 4012, 4685, 5454, 6341, 7367, 8549, 9899, 11433, 13197, 15224, 17523, 20128, 23108, 26492, 30328, 34689, 39634, 45217, 51528, 58672, 66741, 75826, 86046, 97557, 110520, 125081, 141419, 159772, 180327, 203352, 229155, 258011, 290243, 326247, 366443, 411296, 461283, 516955, 578948, 647968, 724673, 809891, 904590, 1009719, 1126292, 1255547, 1398778, 1557446, 1733056, 1927306, 2142118, 2379623, 2641927, 2931472, 3251063, 3603697, 3992406, 4420726, 4892537, 5412103 , 5983871, 6612789, 7304354, 8064562, 8899655, 9816768, 10823632, 11928474, 13140194, 14468888, 15925239, 17520806, 19268135, 21181091, 23274662, 25565123, 28069753, 30807814, 33800121, 37069128, 40639013, 44536379, 48789655, 53429907, 58490717, 64008512, 70022417, 76575140, 83712513, 91484625, 99945325, 109152671 , 119169406, 130063961, 141909494, 154785381, 168777267, 183977759, 200486207, 218410509, 237866805, 258980517, 281886267, 306729539, 333667298, 362869224, 394516595, 428805437, 465947149, 506169536, 549716741, 596852042, 647858533, 703041775, 762729148, 827272534, 897050620, 972471898, 1053972980, 1142023523, 1237128944, 1339832357, 1450715089, 1570402339, 1699565278, 1838925151, 1989253689, 2151379483, 2326192144, 2514646591, 2717763651, 2936639351, 3172449453, 3426453347, 3699998398, 3994530795, 4311598713, 4652860295, 5020089228, 5415186085, 5840185772, 6297266363, 6788754815, 7317143655, 7885100269, 8495476808, 9151320140, 9855891297, 10612675895, 11425400412, 12298045181, 13234864455, 14240403458, 15319519383, 16477396441, 17719573676, 19051965283, 20480884892, 22013069851, 23655715291, 25416497293, 27303606280, 29325778485, 31492335633, 33813219302, 36299032520, 38961076257, 41811403098, 44862860463, 48129140769, 51624834473, 55365492757, 59367679336, 63649040995, 68228374792, 73125701258, 78362335201, 83960974065, 89945779146, 96342474244, 103178435434, 110482793923, 118286546475, 126622679678, 135526278963, 145034664032, 155187526167, 166027078633, 177598202887, 189948616816, 203129044623, 217193410356, 232199019559, 248206764874, 265281351644, 283491538368, 302910355110, 323615370642, 345688976408, 369218678031, 394297383332, 421023733093, 449502446270, 479844694375, 512168465549, 546598971255, 583269084601, 622319803199, 663900701020, 708170449414, 755297362716, 805459959019, 858847541523, 915660849976, 976112728164, 1040428833802, 1108848364172, 1181624855934, 1259027031077, 1341339677594, 1428864545205, 1521921349648, 1620848824531, 1726005804669, 1837772357165, 1956551027314, 2082768127678, 2216875098710, 2359349918885, 2510698632972, 2671456968628, 2842192017864, 3023503975950, 3216028052807, 3420436470254, 3637440531502, 3867792798799, 4112289450024, 4371772729259, 4647133532489, 4939314110808, 5249310951218, 5578177823605, 5927028979241, 6297042474897, 6689463752371, 7105609393275, 7546871039238, 8014719525187, 8510709293453, 9036483000909, 9593776368293, 10184423276710, 10810361181336, 11473636810164, 12176412135212, 12920970622411, 13709723912603, 14545218827402, 15430144688258, 16367341046998, 17359805878555, 18410704144930, 19523376829997, 20701350446796] For the set of patterns, {[0, 0, 0], [1, 0, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 4, 5, 9, 10, 15, 19, 25, 32, 43, 52, 69, 84, 107, 130, 165, 200, 248, 300, 366, 439, 539, 639, 776, 920, 1102, 1304, 1557, 1830, 2175, 2551, 3010, 3517, 4135, 4811, 5632, 6540, 7622, 8823, 10253, 11828, 13695, 15768, 18190, 20890, 24041, 27534, 31606, 36123, 41341, 47156, 53846, 61276, 69813, 79303, 90140, 102204, 115951, 131209, 148581, 167852, 189694, 213953, 241375, 271793, 306119, 344171, 386999, 434457, 487794, 546816, 613029, 686294, 768246, 858931, 960219, 1072138, 1197018, 1334890, 1488440, 1657909, 1846378, 2054186, 2285009, 2539357, 2821418, 3132067, 3476158, 3854765, 4273710, 4734359, 5243386, 5802813 , 6420303, 7098368, 7846119, 8666677, 9570491, 10561772, 11652553, 12847979, 14162298, 15601727, 17182743, 18913290, 20812367, 22889583, 25167289, 27657096, 30384805, 33364840, 36626984, 40188558, 44084425, 48335350, 52981564, 58048435, 63582445, 69613741, 76196637, 83366972, 91187395, 99701199, 108980626, 119076953, 130074337, 142033254, 155050890, 169199450, 184590927, 201310500, 219488166, 239224027, 260668105, 283938774, 309209063, 336617727, 366365185, 398614003, 433594853, 471499278, 512592646, 557098698, 605324389, 657530230, 714069782, 775247900, 841470914, 913094062, 990585657, 1074358646, 1164951313, 1262844711, 1368657172, 1482946626, 1606425044, 1739738462, 1883704309, 2039072511, 2206780242, 2387695339, 2582894190, 2793379259, 3020384678, 3265069504, 3528847656, 3813055919, 4119315722, 4449167205, 4804466121, 5186988786, 5598857331, 6042115700, 6519193352, 7032438836, 7584629518, 8178465653, 8817119362, 9503690387, 10241803553, 11035013103, 11887456287, 12803209729, 13786991999, 14843472059, 15978033392, 17196018013, 18503561591, 19906776963, 21412652047, 23028173154, 24761300462, 26620011107, 28613364522, 30750469325, 33041628785, 35497232584, 38128999411, 40948770248, 43969862665, 47205770479, 50671618385, 54382769573, 58356401048, 62609989895, 67163030422, 72035401114, 77249211683, 82827054848, 88794002942, 95175715205, 102000605818, 109297808707, 117099507838, 125438757620, 134352005538, 143876729869, 154054180979, 164926842248, 176541373708, 188945900334, 202193190197, 216337724805, 231439147589, 247559117427, 264765013295, 283126575465, 302719902220, 323623828304, 345924256859, 369710273050, 395078800688, 422130452447, 450974555052, 481724680058, 514504083865, 549440923392, 586674094468, 626348135949, 668619522966, 713651185680, 761619323534, 812707535656, 867114141243, 925045931329, 986726051997, 1052387303307, 1122280658431, 1196668105147, 1275831793395, 1360066421017, 1449689088900, 1545031137236, 1646448798636, 1754314483577, 1869028217900, 1991008391404, 2120704064350, 2258585075689, 2405155332859, 2560942266286, 2726511105019, 2902453683997, 3089403812237, 3288025319257, 3499028640698, 3723158105800, 3961209734573, 4214017784065, 4482473888789, 4767512719229, 5070132645270, 5391380483294, 5732373697777, 6094284264755, 6478362549190, 6885920150228, 7318355642594, 7777136391366, 8263826192000, 8780066069575, 9327604012203, 9908274580573, 10524030976470, 11176923454365, 11869133762172, 12602952399634, 13380815649610, 14205281497555, 15079069551238, 16005035603215, 16986214515724, 18025793473269, 19127158103176, 20293864217737, 21529687527391, 22838593864488, 24224792594485] For the set of patterns, {[0, 0, 0], [1, 0, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 5, 9, 11, 15, 19, 25, 33, 45, 55, 69, 87, 110, 136, 171, 208, 258, 313, 383, 461, 560, 672, 811, 970, 1160, 1378, 1641, 1937, 2293, 2703, 3187, 3737, 4388, 5124, 5994, 6981, 8126, 9428, 10951, 12673, 14662, 16916, 19518, 22465, 25849, 29667, 34041, 38984, 44618, 50979, 58220, 66367, 75623, 86036, 97832, 111079, 126059, 142848, 161804, 183043, 206946, 233690, 263762, 297357, 335062, 377149, 424283, 476844, 535639, 601117, 674227, 755579, 846278, 947099, 1059366, 1183984, 1322596, 1476337, 1647094, 1836280, 2046187, 2278518, 2535997 , 2820707, 3135861, 3484056, 3869093, 4294041, 4763480, 5281201, 5852523, 6482012, 7176030, 7940072, 8781667, 9707432, 10726181, 11845947, 13077155, 14429316, 15914794, 17545023, 19334454, 21296757, 23449061, 25807526, 28392324, 31222686, 34322273, 37714036, 41425767, 45484452, 49922845, 54772984, 60073136, 65861135, 72181888, 79079979, 86608065, 94818642, 103773196, 113533577, 124171721, 135760091, 148382856, 162125125, 177084908, 193362070, 211070970, 230328333, 251267527, 274025090, 298756077, 325620062, 354797610, 386474690, 420861195, 458174018, 498656696, 542562034, 590172725, 641782464, 697719261, 758324617, 823978538, 895077496, 972061459, 1055390176, 1145573134, 1243143194, 1348688843, 1462827423, 1586239264, 1719638144, 1863809692, 2019579141, 2187852734, 2369583851, 2565817385, 2777653370, 3006296054, 3253014107, 3519193613, 3806296813, 4115918945, 4449743238, 4809604103, 5197438575, 5615354284, 6065578709, 6550532118, 7072773605, 7635081207, 8240393320, 8891895271, 9592959366, 10347236859, 11158593758, 12031212605, 12969523984, 13978315679, 15062661475, 16228038882, 17480253959, 18825570720, 20270629541, 21822587318, 23489034579, 25278145728, 27198590581, 29259699710, 31471370913, 33844247935, 36389623920, 39119634233, 42047155313, 45186016439, 48550892070, 52157530920, 56022647577, 60164169139, 64601121381, 69353899867, 74444150581, 79895064364, 85731255606, 91979080246, 98666511020, 105823486857, 113481782295, 121675386332, 130440373384, 139815313121, 149841138902, 160561596928, 172023112272, 184275275757, 197370714965, 211365621095, 226319621331, 242296355964, 259363351080, 277592646984, 297060679547, 317848961751, 340043970639, 363737895260, 389028530021, 416020087641, 444823109589, 475555350127, 508341699885, 543315155195, 580616755810, 620396643674, 662814027932, 708038334103, 756249196435, 807637719350, 862406499040, 920770997482, 982959607905, 1049215153993, 1119794998752, 1194972689824, 1275038114432, 1360299298346, 1451082629550, 1547734819353, 1650623195631, 1760137857474, 1876692043153, 2000724487534, 2132699890345, 2273111494880, 2422481660096, 2581364690668, 2750347529226, 2930052855357, 3121139927449, 3324307967343, 3540297164066, 3769892395346, 4013924405214, 4273273880737, 4548872846316, 4841709129714, 5152827988953, 5483337017802, 5834408032546, 6207282453715, 6603273502995, 7023772097388, 7470249381991, 7944263217213, 8447461081366, 8981587186070, 9548485819703, 10150109154913, 10788521072431, 11465905741154, 12184571974586, 12946962656437, 13755659717056, 14613394470182, 15523053269828, 16487688883522, 17510526900239, 18594978218432, 19744646320836, 20963340991260, 22255086535687, 23624136870806, 25074984791973, 26612378563063, 28241332383514, 29967144605300] For the set of patterns, {[0, 0, 0], [1, 0, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 14, 21, 27, 34, 45, 56, 72, 92, 113, 143, 175, 216, 267, 327, 397, 482, 582, 700, 839, 1013, 1207, 1436, 1709, 2024, 2389, 2823, 3318, 3904, 4579, 5354, 6252, 7301, 8485, 9860, 11442, 13251, 15329, 17706, 20413, 23519, 27045, 31067, 35637, 40841, 46721, 53411, 61000, 69567, 79258, 90230, 102570, 116516, 132221, 149892, 169765, 192109, 217195, 245347, 276929, 312292, 351888, 396236, 445737, 501093, 562925, 631850, 708743, 794442, 889839, 996090, 1114235, 1245554, 1391496, 1553561, 1733369, 1932810, 2153976, 2398947, 2670228 , 2970531, 3302690, 3670007, 4075973, 4524317, 5019445, 5565845, 6168457, 6832949, 7565351, 8371975, 9260224, 10237888, 11313354, 12496077, 13796200, 15224636, 16793686, 18516277, 20406711, 22480627, 24755064, 27248093, 29980073, 32972731, 36249527, 39836339, 43761297, 48054105, 52748375, 57879541, 63486257, 69610798, 76298788, 83599219, 91566250, 100257558, 109736023, 120069770, 131332873, 143604213, 156970969, 171526186, 187370623, 204613785, 223373784, 243777486, 265963788, 290080775, 316289366, 344763172, 375690176, 409271354, 445725992, 485289223, 528214483, 574775787, 625268705, 680009614, 739343438, 803637754, 873290229, 948729744, 1030417416, 1118848211, 1214557711, 1318119765 , 1430152869, 1551321273, 1682341320, 1823979831, 1977065205, 2142484396, 2321191221, 2514212043, 2722648520, 2947680442, 3190581058, 3452711855, 3735535973, 4040623780, 4369661159, 4724453291, 5106941315, 5519202772, 5963466316, 6442122541, 6957734012, 7513041600, 8110990993, 8754731021, 9447636161, 10193322155, 10995660256, 11858790947, 12787154301, 13785495088, 14858893449, 16012786051, 17252989240, 18585718200, 20017629898, 21555834512, 23207935307, 24982063013, 26886906358, 28931745469, 31126506545, 33481785142, 36008901461, 38719948398, 41627840300, 44746357644, 48090225277, 51675152226, 55517903246, 59636376364, 64049664319, 68778128948, 73843506993, 79268967105, 85079220386, 91300621530, 97961262993, 105091087564, 112722021614, 120888079657 , 129625507043, 138972928979, 148971490658, 159665007800, 171100166338, 183326669232, 196397437311, 210368824851, 225300814051, 241257244612, 258306075276, 276519608328, 295974774556, 316753433536, 338942654654, 362635037028, 387929086105, 414929536595, 443747739745, 474502102317, 507318477829, 542330632382, 579680750777, 619519908564, 662008633810, 707317493794, 755627667314, 807131599237, 862033703555, 920551052256, 982914123983, 1049367663980, 1120171482827, 1195601361018, 1275950047006, 1361528210280, 1452665520718, 1549711825667, 1653038258132, 1763038549559, 1880130373866, 2004756718071, 2137387371759, 2278520552205, 2428684510788, 2588439303591, 2758378682013, 2939132024329, 3131366381530, 3335788770152, 3553148365380, 3784238998978, 4029901784250, 4291027769984, 4568560824110, 4863500764919, 5176906447162, 5509899224786, 5863666528523, 6239465619699, 6638627539546, 7062561439299, 7512758872350, 7990798544391, 8498351300477, 9037185273212, 9609171350032, 10216289138701, 10860632885304, 11544418058106, 12269988143002, 13039821791574, 13856540355025, 14722916022638, 15641880042959, 16616531704466, 17650147705071, 18746191983384, 19908326009705, 21140419993382, 22446564139411, 23831080971971, 25298538158985, 26853761951813, 28501851354783, 30248193352945, 32098478384807] For the set of patterns, {[0, 0, 0], [1, 0, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 12, 15, 21, 27, 36, 46, 60, 74, 97, 118, 151, 184, 228, 281, 347, 421, 514, 617, 750, 896, 1083, 1291, 1545, 1833, 2179, 2575, 3048, 3589, 4228, 4960, 5815, 6796, 7940, 9247, 10762, 12500, 14499, 16789, 19418, 22417, 25849, 29767, 34221, 39319, 45092, 51674, 59122, 67593, 77177, 88037, 100297, 114174, 129798, 147479, 167329, 189765, 214921, 243271, 275050, 310794, 350796, 395729, 445924, 502252, 565071, 635468, 713907, 801626, 899315, 1008373, 1129693, 1264968, 1415250, 1582641, 1768393, 1975017, 2204104, 2458602, 2740506 , 3053277, 3399443, 3783065, 4207239, 4676837, 5195565, 5769233, 6402402, 7101846, 7873242, 8724532, 9662593, 10696835, 11835523, 13089824, 14469714, 15988336, 17657710, 19493302, 21509658, 23724779, 26156253, 28825317, 31752824, 34963946, 38483390, 42340850, 46565784, 51192871, 56257448, 61799927, 67862433, 74492346, 81739409, 89659489, 98311018, 107759635, 118074468, 129332081, 141614351, 155010546, 169617097, 185538552, 202887958, 221787933, 242370760, 264779909, 289170405, 315709416, 344578973, 375973519, 410106163, 447203737, 487514490, 531303426, 578859599, 630491615, 686536550, 747352736, 813333448, 884894365, 962493301, 1046613062, 1137784963, 1236570454, 1343585018, 1459480592, 1584970979, 1720810933, 1867828554, 2026897009, 2198975333, 2385074280, 2586302499, 2803829663, 3038936161, 3292974351, 3567422671, 3863842443, 4183940416, 4529517609, 4902542272, 5305091672, 5739432331, 6207959817, 6713282420, 7258159039, 7845591237, 8478753084, 9161096637, 9896271078, 10688243351, 11541207653, 12459717623, 13448591996, 14513054264, 15658636228, 16891327674, 18217472566, 19643937013, 21177991720, 22827500538, 24600793374, 26506869466, 28555267684, 30756279887, 33120821767, 35660658850, 38388271860, 41317105885, 44461421216, 47836572089, 51458846426, 55345764401, 59515921857, 63989299000, 68787112326, 73932138841, 79448566795, 85362350716, 91701050824, 98494224780, 105773261249, 113571798379, 121925570029, 130872836878, 140454254712, 150713326100, 161696275130, 173452543595, 186034658906, 199498780378, 213904574018, 229315792215, 245800178625, 263430068670, 282282335958, 302439021030, 323987306777, 347020202624, 371636532564, 397941688035, 426047643019, 456073752858, 488146837930, 522402004753, 558982813267, 598042140732, 639742410703, 684256536735, 731768198640, 782472879679, 836578212282, 894305085601, 955888113247, 1021576779699, 1091636061308, 1166347631030, 1246010610083, 1330942888189, 1421481981870, 1517986494008, 1620837117176, 1730438196254, 1847218949516, 1971635108052, 2104170391468, 2245338250293, 2395683580830, 2555784644181, 2726254993784, 2907745610784, 3100947094606, 3306591978241, 3525457284950, 3758366988252, 4006194990961, 4269867781450, 4550367814921, 4848736457477, 5166077768946, 5503561780388, 5862428749933, 6243992749606, 6649646524499, 7080865362470, 7539212642791, 8026344055777, 8544013838030, 9094079478798, 9678508644522, 10299384442317, 10958913155436, 11659430045249, 12403408071653, 13193464232748, 14032369393496, 14923055265985, 15868625379445, 16872362876669, 17937742662690, 19068440145535, 20268344727533, 21541569497275, 22892466320720, 24325636517794, 25845947727919, 27458545749379, 29168873251217, 30982683035119, 32906058695012, 34945429484727, 37107593180982, 39399732628356, 41829441171346] For the set of patterns, {[0, 0, 0], [1, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 4, 6, 9, 11, 15, 22, 27, 35, 47, 59, 74, 96, 121, 151, 185, 229, 283, 348, 425, 518, 627, 756, 910, 1096, 1309, 1565, 1867, 2214, 2620, 3107, 3660, 4310, 5066, 5940, 6952, 8129, 9472, 11034, 12832, 14885, 17247, 19973, 23071, 26617, 30674, 35309, 40578, 46584, 53406, 61173, 69967, 79946, 91252, 104057, 118498, 134843, 153285, 174077, 197493, 223883, 253532, 286878, 324338, 366368, 413492, 466334, 525462, 591671, 665713, 748450, 840847, 944012, 1059004, 1187263, 1330137, 1489206, 1666191, 1863063, 2081785, 2324822, 2594639, 2894014 , 3226031, 3594123, 4001773, 4453250, 4952965, 5505720, 6116834, 6792317, 7538354, 8362115, 9271181, 10274015, 11379745, 12598463, 13940901, 15419322, 17046628, 18837031, 20806112, 22971023, 25349905, 27963205, 30832752, 33982530, 37438509, 41229188, 45385139, 49940373, 54931086, 60397015, 66381317, 72931117, 80096850, 87934344, 96503431, 105869330, 116102666, 127280440, 139485392, 152808330, 167346713, 183206513, 200502557, 219359516, 239911350, 262304540, 286696505, 313257898, 342173402, 373643075, 407881991, 445124466, 485622261, 529647837, 577495655, 629484147, 685955554, 747281462, 813861292, 886126569, 964542755, 1049612568, 1141876272, 1241918727, 1350368265, 1467902991, 1595253418, 1733206817, 1882609225, 2044374764, 2219484711, 2408996062, 2614046809, 2835862000, 3075756303, 3335147514, 3615557882, 3918624290, 4246106111, 4599895649, 4982023252, 5394673458, 5840189813, 6321090478, 6840079341, 7400059657, 8004144344, 8655679184, 9358250143, 10115705115, 10932171894, 11812078515, 12760168930, 13781534189, 14881626685, 16066292194, 17341794920, 18714846379, 20192632151, 21782854979, 23493757608, 25334167180, 27313533914, 29441975051, 31730312264, 34190132064, 36833825008, 39674648052, 42726779754, 46005384621, 49526671171, 53307976462, 57367825357, 61726018898, 66403717776, 71423533500, 76809615452, 82587769201, 88785547545, 95432376051, 102559674800, 110200988186, 118392114863, 127171275457, 136579247131, 146659542064, 157458583582, 169025895344, 181414289476, 194680100454, 208883387965, 224088191527, 240362780191, 257779923847, 276417169831, 296357171711, 317687984377, 340503423084, 364903428266, 390994450469, 418889844716, 448710337034, 480584455877, 514649037479, 551049743105, 589941612140, 631489629057, 675869376134, 723267652856, 773883195169, 827927411105, 885625160662, 947215566677, 1012952934861, 1083107640308, 1157967135585, 1237836997033, 1323042029288, 1413927415746, 1510860004232, 1614229574891, 1724450258778, 1841962007745, 1967232154012, 2100757040449, 2243063817982, 2394712239797, 2556296650565, 2728448057848, 2911836322236, 3107172447004, 3315211092436, 3536753112170, 3772648328023, 4023798430992, 4291160053226, 4575747985380, 4878638671470, 5200973768878, 5543964025704, 5908893337656, 6297123024687, 6710096332642, 7149343297920, 7616485723895, 8113242571447, 8641435607568, 9202995365283, 9799967414464, 10434519102207, 11108946490462, 11825681836061, 12587301434516, 13396533892132, 14256268827080, 15169566197946, 16139665949574, 17169998349584, 18264194844511, 19426099516784, 20659781135920, 21969546018962, 23359951380560, 24835819611154, 26402253264153, 28064650852025, 29828723481896, 31700512573652, 33686408280554, 35793169125418, 38027942643009, 40398287128434, 42912194524037, 45578114745522, 48404981032006] For the set of patterns, {[0, 0, 1], [0, 1, 0], [0, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 13, 20, 25, 34, 44, 61, 77, 99, 125, 162, 203, 259, 318, 399, 489, 608, 742, 917, 1110, 1353, 1628, 1977, 2367, 2856, 3408, 4087, 4853, 5780, 6832, 8113, 9555, 11286, 13255, 15602, 18253, 21391, 24947, 29142, 33887, 39451, 45745, 53117, 61438, 71105, 82031, 94694, 108976, 125479, 144075, 165494 , 189618, 217315, 248483, 284184, 324293, 370062, 421495, 480090, 545807, 620497, 704205, 799147, 905471, 1025787, 1160387, 1312440, 1482348, 1673874, 1887761, 2128510, 2397006, 2698718, 3034966, 3412184, 3832203, 4302691, 4826073 , 5411587, 6062250, 6789010, 7596076, 8496495, 9495387, 10608341, 11842059, 13214959, 14735564, 16425780, 18296266, 20373198, 22669694, 25216622, 28030750, 31148701, 34590858, 38400768, 42603777, 47251231, 52374287, 58033751, 64267721, 71148365, 78722055, 87073622, 96260079, 106381633, 117506771, 129754097, 143206955, 158004769, 174248183, 192101479, 211685878, 233195105, 256774649, 282651843, 311002152, 342093178, 376133811, 413438714, 454258208, 498960911, 547845728, 601345370, 659815560, 723763985, 793613198, 869957109, 953298714, 1044333682, 1143656537, 1252081479, 1370313616, 1499303654, 1639885081, 1793168941, 1960138442, 2142091378, 2340186628, 2555936800, 2790708376, 3046265346, 3324212189, 3626604592, 3955329242, 4312777615, 4701162987, 5123268946, 5581688675, 6079659454, 6620217134, 7207120778, 7843923706, 8534991902, 9284472396, 10097432279, 10978714949, 11934194555, 12969518421, 14091495451, 15306702785, 16623027168, 18048124066, 19591118778, 21260916574, 23068075414, 25022935088, 27137702128, 29424383955, 31897079095, 34569713381, 37458567433, 40579777630, 43952131613, 47594314998, 51527989804, 55774780345, 60359657495, 65307613257, 70647411742, 76407933243, 82622285312, 89323806828, 96550594189, 104341103117, 112739141944, 121789042060, 131541143735, 142046521202, 153363001653, 165549367501, 178672002267, 192798540250, 208005138677, 224369549362, 241979111197, 260923146812, 281301757029, 303217500689, 326785032603, 352122039600, 379359798084, 408633244686, 440092598823, 473892517590, 510204797000, 549206565851, 591094219356, 636070504164, 684359810217, 736194085323, 791829560495, 851531440995, 915592204116, 984314876859, 1058033129689, 1137093064646, 1221875145473, 1312774419987, 1410224532776, 1514676159247, 1626623302196, 1746579842973, 1875108260779, 2012794200434, 2160277853637, 2318226259711, 2487367693148, 2668461590217, 2862336030112, 3069855156281, 3291960149831, 3529633811568, 3783945358806, 4056012024438, 4347047920146, 4658322483631, 4991213808238, 5347163526599, 5727735130679, 6134565137474, 6569426592271, 7034176298113, 7530824150363, 8061475932731, 8628409012173, 9234010495577, 9880859702090, 10571661423926, 11309335838806, 12096946275587, 12937797382974, 13835357173217, 14793363836716, 15815741716459, 16906717805210, 18070730944064, 19312558848300, 20637220254665, 22050113182819, 23556909628479, 25163706163398, 26876910328168, 28703404865189, 30650425489526, 32725739473561, 34937514281577, 37294512158208, 39805948656878, 42481704587416, 45332174065873, 48368495045287, 51602386296071, 55046398350791, 58713738234262, 62618542845436, 66775691037662, 71201100744251, 75911527699870, 80924888935556, 86260046818672, 91937161131933, 97977457970469, 104403612512960, 111239501950242, 118510621926574, 126243821952622, 134467758718802, 143212613559561, 152510584961055, 162395587125409, 172903785887492, 184073276661791, 195944667400902] For the set of patterns, {[0, 0, 1], [0, 1, 0], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 9, 12, 18, 22, 31, 38, 54, 66, 87, 108, 140, 171, 220, 267, 339 , 409, 510, 614, 762, 911, 1115, 1333, 1622, 1923, 2325, 2749, 3303, 3893, 4643 , 5456, 6483, 7588, 8967, 10469, 12326, 14336, 16812, 19509, 22790, 26383, 30702, 35451, 41147, 47384, 54818, 63001, 72687, 83341, 95898, 109743, 125961, 143858, 164716, 187752, 214541, 244075, 278275, 316068, 359637, 407761, 463087, 524210, 594257, 671631, 760031, 857680, 969009, 1091891, 1231575, 1385879, 1560794, 1753877, 1972363, 2213445, 2485676, 2785951, 3124268, 3497373, 3917025 , 4379533, 4898709, 5470884, 6112016, 6818092, 7608170, 8477848, 9449435, 10518487, 11710857, 13022349, 14483210, 16088961, 17875134, 19837775, 22018060, 24412246, 27068872, 29984708, 33216143, 36761257, 40685297, 44988165, 49746112, 54960174, 60719564, 67028339, 73989616, 81610706, 90012031, 99205098, 109329492 , 120402548, 132585947, 145904207, 160545682, 176542109, 194112573, 213300467, 234358404, 257342999, 282547875, 310045261, 340175256, 373029741, 409002188, 448208496, 491104965, 537834367, 588924946, 644555951, 705335925, 771485437, 843709881, 922277955, 1008005120, 1101219221, 1202861081, 1313330008, 1433712744, 1564489907, 1706916024, 1861573403, 2029906346, 2212613192, 2411362956, 2626989641, 2861416999, 3115642699, 3391880298, 3691321209, 4016515422, 4368874927, 4751336899, 5165579393, 5614978616, 6101518947, 6629088379, 7200028658, 7818808488, 8488192368, 9213311417, 9997422684, 10846423519, 11764133122, 12757327259, 13830491715, 14991397399, 16245298702, 17601116571, 19064995284, 20647163838, 22354803835, 24199636965, 26190043974, 28339463071, 30657647153, 33159993329, 35857861681, 38768869106, 41906221907, 45290090063, 48935802183, 52866433221, 57099764855, 61662179616, 66574283089, 71866240280, 77561886552, 83695691957, 90295234992, 97399867171, 105041447623, 113264918223, 122107037090, 131619095912, 141843485426, 152838707002, 164653608785, 177354905966, 190998811674, 205661373991, 221407271353, 238323128728, 256483273987, 275986391226, 296917818108, 319389903996, 343500586290, 369377697623, 397133555408, 426913584644, 458846450719, 493097528312, 529814165050, 569184306681, 611376542143, 656604448509, 705060776695, 756988092190, 812606671769, 872191870298, 935995250935, 1004329327406, 1077481134324, 1155805220536, 1239628984977, 1329354438339, 1425354751484, 1528085662319, 1637972237774, 1755530875941, 1881245526695, 2015701074133, 2159448174144, 2313149110467, 2477429990018, 2653040437457, 2840692103573, 3041233045279, 3255471642176, 3484367089688, 3728837101021, 3989966118927, 4268795500500, 4566550794659, 4884413041190, 5223766843963, 5585950863234, 5972528794545, 6385017399548, 6825181854573, 7294739759556, 7795683232286, 8329956276625, 8899806241865, 9507432452831, 10155369196296, 10846103491251, 11582492314081, 12367346535506, 13203885749832, 14095285654957, 15045173056785, 16057134050187, 17135253035198, 18283577648088, 19506705881178, 20809204524760, 22196247824788, 23672986091244, 25245240274030, 26918816008010, 28700259554331, 30596112849140, 32613735125862, 34760494753686, 37044662506605, 39474534097152, 42059401438407, 44808600809826, 47732567728297, 50841805321735, 54148029968961, 57663052417603, 61400022820215, 65372217694594, 69594391262707, 74081461772713, 78849978361684, 83916697500724, 89300175427668, 95019226620200, 101094651072620, 107547566101931, 114401279903480] For the set of patterns, {[0, 0, 1], [0, 1, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 13, 19, 26, 35, 45, 60, 78, 101, 129, 165, 207, 262, 326, 408, 506, 624, 764, 939, 1145, 1393, 1687, 2042, 2458, 2957, 3538, 4230, 5046, 6007, 7125, 8445, 9979, 11776, 13860, 16292, 19107, 22385, 26165, 30547, 35600, 41434, 48128, 55854, 64711, 74882, 86523, 99865, 115106, 132541, 152395, 175047 , 200830, 230184, 263496, 301365, 344293, 392970, 448065, 510444, 580916, 660576, 750419, 851791, 966010, 1094673, 1239361, 1402140, 1584998, 1790376, 2020764, 2279186, 2568689, 2893025, 3255896, 3661825, 4115520, 4622454, 5188275 , 5819772, 6523878, 7308738, 8182888, 9156242, 10239142, 11443665, 12782345, 14269701, 15921184, 17754298, 19787484, 22042098, 24540564, 27308380, 30372710, 33764253, 37515698, 41664104, 46248704, 51313768, 56906769, 63080787, 69892395, 77405375, 85687739, 94815339, 104869682, 115941436, 128127826, 141537216, 156285452, 172501264, 190323312, 209904749, 231409887, 255021014, 280933926, 309364472, 340545178, 374732083, 412200623, 453254435, 498219676, 547454844, 601346651, 660318862, 724827498, 795373318, 872495296, 956783118, 1048872446, 1149458288, 1259289166, 1379183578, 1510022346, 1652766638, 1808453278, 1978211885, 2163258566, 2364919491, 2584622688, 2823921992, 3084491838, 3368152745, 3676865141, 4012760510, 4378133119, 4775473766, 5207466291, 5677021793, 6187272896, 6741618632, 7343717143, 7997531292, 8707327249, 9477724072, 10313691712, 11220610619, 12204267372, 13270919844, 14427301761, 15680691057, 17038911940, 18510420240, 20104306675, 21830385449, 23699208086, 25722161051, 27911479822, 30280365667, 32842999526, 35614669445, 38611801335, 41852094964, 45354554760, 49139655192, 53229378475, 57647389586, 62419092575, 67571826298, 73134926610, 79139956505, 85620775124, 92613788231, 100158050513, 108295539111, 117071261960, 126533583547, 136734352686, 147729253587, 159577971273, 172344585005, 186097754002, 200911173115, 216863784178, 234040275977, 252531358440, 272434315719, 293853303311, 316899996778, 341693939808, 368363249966, 397045042914, 427886223919, 461043966741, 496686624607, 534994275225, 576159725192, 620389175118, 667903341437, 718938190247, 773746233402, 832597379860, 895780356473, 963603715337, 1036397431652, 1114514038315, 1198330452891, 1288249265999, 1384700765432, 1488144463495, 1599071363678, 1718005659140, 1845507324504, 1982174071289, 2128644211093, 2285598923207, 2453765475806, 2633919776397, 2826890036039, 3033559664519, 3254871337536, 3491830363534, 3745509244502, 4017051435691, 4307676529366, 4618684549782, 4951461703711, 5307485301181, 5688330222972, 6095674455441, 6531306409433, 6997131186044, 7495178713872, 8027610946945, 8596730998392, 9204991185314, 9855003356189, 10549548027985, 11291585875043, 12084268122439, 12930949445832, 13835199645301, 14800818186465, 15831847382672, 16932588587783, 18107617200036, 19361800827190, 20700316059455, 22128668929356, 23652713884715, 25278676570622, 27013175289418, 28863246540574, 30836369089051, 32940492677550, 35184065119231, 37576064283837, 40126028740792, 42844093603167, 45741024781905, 48828259217931, 52117943482238, 55622978591965, 59357063480897, 63334745175562, 67571467458091, 72083627123852, 76888628616036, 82004946693494, 87452187949274, 93251160921364, 99423944799440, 105993967913640, 112986084907871, 120426664169677, 128343674426876, 136766782471218, 145727449936525, 155259042614424, 165396938863849, 176178651307234, 187643948444357, 199834990585821, 212796465525030, 226575740394945] For the set of patterns, {[0, 0, 1], [0, 1, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 12, 19, 25, 33, 41, 57, 74, 96, 118, 153, 189, 243, 300, 377, 459, 568, 688, 851, 1032, 1262, 1510, 1833, 2189, 2638, 3133, 3760, 4465, 5325, 6270, 7439, 8751, 10332, 12096, 14233, 16634, 19505, 22702, 26505, 30777, 35822, 41458, 48108, 55571, 64298, 74076, 85495, 98272, 113102, 129695, 148904, 170424, 195228, 222936, 254827, 290528, 331433, 377091, 429286, 487584, 554058, 628204, 712528, 806601, 913334, 1032196, 1166851, 1316890, 1486397, 1674896, 1887510, 2123968, 2390175, 2685864, 3018150, 3387165, 3801186, 4260320, 4774699 , 5345106, 5983146, 6689772, 7478993, 8352646, 9327169, 10405000, 11605610, 12932791, 14409346, 16039929, 17851870, 19852012, 22071975, 24520273, 27234757, 30226696, 33540175, 37189444, 41226717, 45670690, 50582414, 55984550, 61949336, 68506226, 75739292, 83684332, 92440886, 102054024, 112639987, 124253514, 137030821, 151040211, 166441409, 183316473, 201852838, 222152368, 244433228, 268817258, 295560879, 324813146, 356873020, 391919054, 430300722, 472235046, 518129970, 568242979, 623050249, 682864169, 748239253, 819545734, 897430981, 982339292, 1075023964, 1176011901, 1286179881, 1406157204, 1536964526, 1679344209, 1834483204, 2003266790, 2187073192, 2386943547, 2604479753, 2840915925, 3098111380, 3377517724, 3681290860, 4011144780, 4369581282, 4758608999, 5181125726, 5639498849, 6137084046, 6676649507, 7262081589, 7896630295, 8584790970, 9330360780, 10138536113, 11013761075, 11962042866, 12988559844, 14100249580, 15303165121, 16605314303, 18013734292, 19537665382, 21185309099, 22967321050, 24893228384, 26975307967, 29224635625, 31655359110, 34280317860, 37115794606, 40176695396, 43481758820, 47048231950, 50897664305, 55050033634, 59530112219, 64360992246, 69571127889, 75187216019, 81241940145, 87766102691, 94797202071, 102370803874, 110529930438, 119315551151, 128776986808, 138961456654, 149925485620, 161723409598, 174419957750, 188077650990, 202770611077, 218570673665, 235562626664, 253829025364, 273466858100, 294570848976, 317251855855, 341618576172, 367797683542, 395913759621, 426111444845, 458533495894, 493345051416, 530709519932, 570815274416, 613849349768, 660026599938, 709560847158, 762696973178, 819679401267, 880787163354, 946299404107, 1016533851585, 1091809191286, 1172487152760, 1258931279662, 1351553087432, 1450767184138, 1557041636855, 1670848866305, 1792720923485, 1923195980399, 2062878643769, 2212381529677, 2372391288505, 2543605017496, 2726802362583, 2922776023062, 3132410655014, 3356607391964, 3596369831720, 3852721635759, 4126800672029, 4419769438102, 4732917640993, 5067564622552, 5425171434543, 5807234855449, 6215409590314, 6651392748502, 7117057293296, 7614326810251, 8145320771221, 8712218152222, 9317416141499, 9963382207106, 10652826805910, 11388542589145, 12173592750851, 13011136753190, 13904635437952, 14857661525272, 15874123163328, 16958058901573, 18113880796884, 19346151642029, 20659850039319, 22060129287581, 23552605540487, 25143096314999, 26837934221961, 28643684098341, 30567484239746, 32616739577383, 34799492998740, 37124094021870, 39599602183106, 42235427851608, 45041771343361, 48029235002004, 51209300048979, 54593906766741, 58195972938771, 62028940674549, 66107339687819, 70446296871771, 75062148345171, 79971910899615, 85193946334370, 90747389775987, 96652871767853, 102931902156974, 109607653533882, 116704295940142, 124247847578109, 132265458126349, 140786332095588, 149840955063164, 159462095763876] For the set of patterns, {[0, 0, 1], [0, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 13, 20, 26, 34, 44, 61, 79, 100, 128, 164, 206, 262, 325, 407, 502, 620, 759, 935, 1139, 1385, 1674, 2029, 2440, 2934, 3508, 4203, 5012, 5957, 7061, 8377, 9896, 11672, 13728, 16153, 18940, 22181, 25912, 30260, 35259, 41029, 47637, 55305, 64054, 74122, 85620, 98834, 113895, 131124, 150736, 173160 , 198629, 227642, 260524, 297993, 340402, 388500, 442888, 504535, 574135, 652827, 741493, 841670, 954415, 1081467, 1224243, 1385042, 1565535, 1768266, 1995564, 2250730, 2536401, 2856495, 3214404, 3615099, 4062699, 4562859, 5120875 , 5743997, 6438510, 7212745, 8074673, 9034854, 10102704, 11290637, 12610394, 14077230, 15705483, 17512864, 19516990, 21739992, 24202778, 26931296, 29951261, 33294499, 36991699, 41080291, 45597840, 50589639, 56100769, 62184634, 68895446, 76298385, 84457960, 93450674, 103354727, 114262111, 126266011, 139474838, 154000314, 169972641, 187524763, 206810141, 227987100, 251239699, 276756254, 304752224, 335452739, 369114762, 406004582, 446424619, 490690708, 539162666, 592214133, 650267039, 713763899, 783205264, 859113976, 942075486, 1032707980, 1131704669, 1239792310, 1357783628, 1486534946, 1627004209, 1780199343, 1947239768, 2129310675, 2327730061, 2543888771, 2779325343, 3035671747, 3314736123, 3618428842, 3948859148, 4308264933, 4699116136, 5124031738, 5585888537, 6087745652, 6632969786, 7225131768, 7868147546, 8566183450, 9323810831, 10145885119, 11037717678, 12004964943, 13053812834, 14190844186, 15423239578, 16758649598, 18205428555, 19772465014, 21469438704, 23306671204, 25295401342, 27447601894, 29776283539, 32295324032, 35019805455, 37965802716, 41150756171, 44593266985, 48313523430, 52333045391, 56675138723, 61364678857, 66428603922, 71895643510, 77796870700, 84165442599, 91037221625, 98450458108, 106446464795, 115069328378, 124366665463, 134389272054, 145191930386, 156833113847, 169375888615, 182887525398, 197440511338, 213112189418, 229985884900, 248150486309, 267701649096, 288741441901, 311379699979, 335733579683, 361929029178, 390100418698, 420392199972, 452958415994, 487964532307, 525587038087, 566015461802, 609451920195, 656113286922, 706230845580, 760052759101, 817843589656, 879886998718, 946485416905, 1017963064074, 1094665513780, 1176962986370, 1265250112010, 1359949577999, 1461511837723, 1570419092678, 1687185170794, 1812360065047, 1946529697067, 2090320840915, 2244401224006, 2409484998771, 2586332799869, 2775757726548, 2978625746314, 3195862396952, 3428453172037, 3677450870255, 3943976359275, 4229226870331, 4534476803131, 4861086692167, 5210504676887, 5584276509930, 5984047089186, 6411571489586, 6868717134714, 7357476168633, 7879967847513, 8438452069043, 9035332633585, 9673172399703, 10354696930463, 11082810990261, 11860603386054, 12691365471032, 13578596368363, 14526023405012, 15537608684934, 16617571880686, 17770397684295, 19000860715357, 20314034743176, 21715320603058, 23210456469240, 24805548464338, 26507083159431, 28321961902910, 30257514639673, 32321537704602, 34522310484025, 36868637457791, 39369867061512, 42035937825282, 44877400619028, 47905470428176, 51132051126476, 54569792400315, 58232118967008, 62133294154686, 66288452577553, 70713670075558, 75426002019120, 80443561186766, 85785560788317, 91472400307525, 97525715082491, 103968472442369, 110825027155216, 118121227091122, 125884477534957, 134143858907047, 142930198732530, 152276201422748, 162216530959011, 172787955560883, 184029440194167, 195982306228968, 208690336986739, 222199955879828] For the set of patterns, {[0, 0, 1], [0, 1, 1], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 12, 18, 22, 32, 40, 56, 66, 89, 110, 146, 176, 228, 274, 348, 420, 528, 633, 789, 938, 1156, 1372, 1678, 1983, 2414, 2840, 3425, 4021, 4818, 5641, 6726, 7852, 9314, 10846, 12801, 14860, 17475, 20231, 23685, 27367, 31934, 36811, 42809, 49222, 57058, 65488, 75681, 86663, 99890, 114164, 131243, 149738, 171707, 195529, 223706, 254291, 290288, 329443, 375274, 425179, 483408, 546833, 620535, 700913, 793940, 895442, 1012562, 1140391, 1287387, 1447987, 1632029, 1833164, 2063068, 2314342, 2600795, 2914024, 3270097, 3659451, 4101103 , 4584038, 5130588, 5728340, 6403250, 7141360, 7973166, 8882711, 9905719, 11024398, 12280168, 13653117, 15191774, 16873604, 18755272, 20811778, 23108825, 25618781, 28418238, 31476235, 34881871, 38601411, 42737860, 47254292, 52270474, 57745612, 63818809, 70445946, 77787703, 85796541, 94658827, 104322980, 115004821, 126649752, 139506481, 153517487, 168970705, 185805284, 204353903, 224553879, 246788284, 270993481, 297612005, 326579011, 358405006, 393026916, 431031930, 472360562, 517689588, 566964147, 620963405, 679642078, 743895100, 813690277, 890057492, 972980274, 1063643015, 1162052982, 1269569205, 1386229510 , 1513595434, 1651741972, 1802461845, 1965880255, 2144051614, 2337163322, 2547572852, 2775541676, 3023773171, 3292623759, 3585188659, 3901940557, 4246426478, 4619256460, 5024492273, 5462915258, 5939171378, 6454248012, 7013462263, 7618043889, 8274075258, 8983082042, 9752014269, 10582749227, 11483232569, 12455753977, 13509392626, 14646934495, 15878743600, 17208192260, 18647114587, 20199567864, 21879059213, 23690460331, 25649174789, 27761029269, 30043595466, 32503810709, 35161710928, 38025543394, 41118136106, 44449266571, 48044946954, 51916729098, 56094241471, 60591113803, 65441071454, 70660159395, 76286769067, 82339736167, 88862745788, 95877885406, 103434834575, 111559444952, 120308211674, 129711324316, 139833006095, 150708477427, 162410704533, 174980710979, 188501391180, 203020440756, 218632000529, 235391469945, 253405706975, 272738970617, 293512541913, 315800840683, 339741469544, 365420541403, 392994099101, 422561668617, 454300180376, 488324507271, 524835195006, 563964720392, 605940296985, 650914542168, 699144839430, 750806799202, 806191882104, 865502006759, 929067082752, 997119059204, 1070031291547, 1148069945359, 1231657406023, 1321098889223, 1416872056406, 1519326601269, 1629002577729, 1746300264303, 1871830061944, 2006049844835, 2149649257282, 2303151645688, 2467336007722, 2642800020856, 2830423329757, 3030888072367, 3245187170611, 3474098600362, 3718742878661, 3980006600673, 4259153877336, 4557194481466, 4875554011348, 5215381766568, 5578285057774, 5965571064990, 6379051403070, 6820211989254, 7291094002162, 7793385487766, 8329385676769, 8901010985676, 9510850529941, 10161078827884, 10854610443381, 11593911320094, 12382261508895, 13222455743635, 14118184275089, 15072612848689, 16089891843421, 17173605308784, 18328419875119, 19558390881510, 20868763843734, 22264125126804, 23750369038962, 25332679841409, 27017679096645, 28811223792673, 30720750270985, 32752872451669, 34915939095563, 37217415239238, 39666671466609, 42272129254312, 45044302978007, 47992688868759, 51129081077660, 54464182799512, 58011220137669, 61782250947961, 65792102859372, 70054354035407, 74585622555211, 79401191832069, 84519681536273, 89958286798011, 95737864009982, 101877751210592 , 108401303296362, 115330259117152, 122690764330203] For the set of patterns, {[0, 0, 1], [0, 1, 1], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 20, 26, 37, 47, 64, 81, 107, 135, 175, 218, 280, 344, 435, 534, 668, 813, 1006, 1218, 1494, 1801, 2192, 2628, 3180, 3795, 4562, 5421, 6480, 7670, 9127, 10762, 12746, 14977, 17663, 20685, 24303, 28374, 33210, 38662 , 45105, 52361, 60900, 70504, 81756, 94421, 109186, 125795, 145087, 166782, 191889, 220102, 252646, 289187, 331217, 378371, 432442, 493081, 562412, 640100, 728719, 827934, 940835, 1067134, 1210535, 1370820, 1552435, 1755260, 1984599, 2240534, 2529380, 2851437, 3214280, 3618486, 4073107, 4579152, 5147379, 5779357 , 6487906, 7275295, 8156775, 9135568, 10229786, 11443782, 12799138, 14301672, 15976983, 17832787, 19899389, 22186852, 24731163, 27545203, 30671630, 34126897, 37961496, 42196270, 46890966, 52071801, 57809377, 64136563, 71136732, 78850728, 87377130, 96766385, 107134804, 118544700, 131133176, 144976767, 160237033, 177007616, 195478826, 215764922, 238089836, 262592437, 289536267, 319089673, 351562336, 387158020, 426240360, 469055181, 516029518, 567459080, 623844932, 685542214, 753138312, 827058877, 907992214, 996447437, 1093230296, 1198948790, 1314545816, 1440745763, 1578651536, 1729124635, 1893454115, 2072663432, 2268257882, 2481451227, 2714000572, 2967343036, 3243528275, 3544255576, 3871914411, 4228510958, 4616829306, 5039234923, 5498969296, 5998818480, 6542553889, 7133452301, 7775899852, 8473745669, 9232087233, 10055441001, 10949727486, 11920240231, 12973851679, 14116759201, 15356935009, 16701627388, 18160078925, 19740757480, 21454372871, 23310807629, 25322463534, 27500863929, 29860361028, 32414378242, 35179515833, 38171395517, 41409206504, 44911112913, 48699283927, 52794820265, 57223319498, 62009273319, 67182220064, 72770564114, 78808371694, 85328556886, 92370387501, 99971971808, 108178547476, 117034203162, 126591024525, 136899979388, 148021005766, 160012979723, 172944836961, 186884538817, 201911327167, 218103592552, 235552376471, 254348034361, 274595106963, 296397670621, 319875703179, 345149002311, 372355191610, 401632071548, 433137424903, 467029656506, 503489568163, 542699130813, 584865418938, 630197343132, 678931946181, 731308918906, 787599473672, 848078444357, 913055987250, 982847040955, 1057806122245, 1138293913406, 1224715436799, 1317483520845, 1417060666837, 1523919115943, 1638586750268, 1761603468542, 1893571492148, 2035107722909, 2186898869008, 2349649430229, 2524142085963, 2711180940727, 2911657643592, 3126489494274, 3356691821368, 3603310501230, 3867501171201, 4150455690164, 4453488803195, 4777958030135, 5125358462649, 5497235529582, 5895288653971, 6321276311942, 6777129336894, 7264847634738, 7786624015350, 8344731858172, 8941660420695, 9579992719938, 10262553331989, 10992275698958, 11772363533673, 12606146692520, 13497257392929, 14449473737849, 15466912057394, 16553857088952, 17714971888660, 18955113587696, 20279562423713, 21693821954916, 23203868874300, 24815936466174, 26536787038538, 28373477299153, 30333655404586, 32425306850431, 34657078287406, 37038002421805, 39577850951065, 42286836860298, 45175999007483, 48256880119970, 51541945769028, 55044236224043, 58777822836085, 62757431758879, 66998941001617, 71518973930211, 76335440492632, 81467098280635, 86934141757734, 92757728487406, 98960620509836, 105566673211592, 112601533353836, 120092087863242, 128067223425620, 136557232299553, 145594638774321, 155213558985486, 165450599945141, 176344170131289, 187935457345999, 200267686601923, 213387183594689, 227342576239438, 242185951090885, 257971994654349, 274759250728552] For the set of patterns, {[0, 0, 1], [0, 1, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 13, 20, 26, 37, 46, 64, 79, 107, 133, 176, 215, 279, 340, 435, 531, 668, 807, 1006, 1211, 1497, 1793, 2199, 2622, 3194, 3788, 4580, 5420, 6512, 7680, 9181, 10791, 12831, 15032, 17795, 20783, 24505, 28532, 33511, 38931 , 45554, 52774, 61546, 71129, 82695, 95349, 110516, 127146, 146973, 168734, 194521, 222878, 256305, 293078, 336265, 383786, 439354, 500547, 571797, 650324, 741429, 841823, 957898, 1085872, 1233366, 1395950, 1582799, 1788769, 2024788, 2285000, 2582320, 2910126, 3283754, 3695584, 4163868, 4679989, 5265514, 5910671 , 6641067, 7445650, 8354669, 9355742, 10484515, 11727263, 13126069, 14665497, 16395158, 18298127, 20432680, 22780199, 25409266, 28299475, 31531436, 35083015, 39048722, 43404820, 48262203, 53595393, 59534312, 66052414, 73301405, 81253816, 90087117, 99773279, 110519767, 122298579, 135351818, 149652483, 165483378, 182819133, 201989456, 222972836, 246153054, 271514081, 299502760, 330110583, 363857682, 400746006, 441380323, 485776810, 534638681, 587999958, 646677544, 710729885, 781104956, 857891576, 942189854, 1034126924, 1134978767, 1244920868, 1365431256, 1496745901, 1640577198, 1797234633, 1968700866, 2155376591, 2359555983, 2581750250, 2824613584, 3088791498, 3377352762, 3691106371, 4033597102, 4405831937, 4811905559, 5253060724, 5734024571, 6256324364, 6825414732, 7443161896, 8115857634, 8845772079, 9640159571, 10501771690, 11438966823, 12455067817, 13559703903, 14756871873, 16057659026, 17466861713, 18997239313, 20654529975, 22453412248, 24400732557, 26513371127, 28799477446, 31278452527, 33959975375, 36866339478, 40009013249, 43413599693, 47093665060, 51078600258, 55384421236, 60044855577, 65078774454, 70524868536, 76405337295, 82764542807, 89628558720, 97048233867, 105054142636, 113704541167, 123035236122 , 133112942536, 143979532324, 155711380355, 168357382382, 182004941068, 196711084338, 212575787653, 229665482053, 248094487909, 267940094480, 289332968809, 312362937071, 337179291881, 363886312427, 392654508787, 423604806852, 456931875992, 492775808647, 531358760931, 572842868818, 617481572395, 665462330387, 717074155525, 772533591372, 832170091668, 896233569342, 965099435551, 1039055857220, 1118530455344, 1203855233710, 1295517087860, 1393898204990, 1499552783087, 1612920412544, 1734631654489, 1865191737695, 2005317838688, 2155590179160, 2316824148811, 2489685590667, 2675101219015, 2873834587881, 3086938529032, 3315288016940, 3560078755351, 3822312688848, 4103347272182, 4404329076831, 4726798630293, 5072067134443, 5441882252364, 5837742462691, 6261629709738, 6715255425977, 7200866413761, 7720416096975, 8276450651291, 8871198334200, 9507543540671, 10188026525432, 10915913676964, 11694099222295, 12526280842552, 13415754133704, 14366703568309, 15382879677361, 16469016122252, 17629378790666, 18869320790636, 20193691529663, 21608542508131, 23119383533026, 24733053266266, 26455808543927, 28295374966738, 30258853964736, 32354970158831, 34591779516945, 36979131489153, 39526160298738, 42243981558584, 45142946950542, 48235596788074, 51533656815123, 55051269949308, 58801712046778, 62800928174850, 67063942108600, 71608724806440, 76452270286978, 81614826116107, 87115606134216, 92977415574415, 99221968275863, 105874941886498 , 112960864686915, 120508639220249, 128545960915938, 137105351841029, 146218070012345, 155920698674388, 166248501804518, 177242617879787, 188942813517482, 201395335204851, 214645008555127, 228743806017272, 243742235217794, 259698685356588, 276670043453797, 294721887459169] For the set of patterns, {[0, 0, 1], [0, 1, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 21, 27, 37, 48, 67, 84, 111, 140, 183, 227, 292, 361, 458, 563, 704, 858, 1065, 1291, 1587, 1915, 2338, 2804, 3401, 4060, 4893, 5820, 6970, 8256, 9844, 11619, 13782, 16211, 19154, 22448, 26418, 30869, 36194, 42171 , 49269, 57241, 66678, 77264, 89717, 103704, 120090, 138473, 159925, 183992, 211960, 243335, 279656, 320367, 367378, 420030, 480616, 548463, 626306, 713401, 813069, 924522, 1051733, 1193895, 1355758, 1536490, 1741870, 1971013, 2230791, 2520470, 2848225, 3213397, 3625796, 4084940, 4602521, 5178344, 5826331, 6546659 , 7356011, 8255025, 9263475, 10382895, 11636744, 13027435, 14582944, 16306961, 18232657, 20365428, 22744533, 25377505, 28311018, 31555199, 35165198, 39154744, 43589097, 48486065, 53922968, 59922950, 66577259, 73915755, 82046008, 91006043, 100923020, 111844790, 123921119, 137212335, 151894977, 168043945, 185867365, 205458303, 227061456, 250792066, 276937681, 305640089, 337237557, 371903637, 410035404, 451845240, 497799276, 548155624, 603461330, 664029890, 730502312, 803258357, 883048818, 970331978, 1065987574, 1170567219, 1285099808, 1410248966 , 1547217828, 1696801569, 1860406593, 2038984651, 2234178137, 2447123803, 2679738822, 2933377821, 3210278319, 3512051902, 3841306393, 4199957501, 4591043836, 5016836669, 5480875063, 5985848926, 6535876852, 7134139756, 7785428255, 8493497709, 9263918293, 10101117946, 11011566866, 12000481017, 13075373506, 14242377241, 15510212066, 16886082433, 18380101303, 20000721936, 21759666433, 23666840953, 25735827134, 27978220915, 30409746187, 33043964313, 35899072203, 38990908604, 42340520832, 45966392479, 49892851351, 54141446447, 58740282852, 63714456908, 69096422831, 74915380786, 81208782319, 88010574280, 95363955494, 103308350454, 111893559867, 121165335513, 131181054677, 141993766598, 153669544822, 166269845096, 179870719672, 194543306020, 210375089463, 227448353534, 245863688112, 265716187951, 287121450179, 310189299417, 335052507038, 361837813155, 390697640865, 421778140181, 455254211134, 491294268673, 530098892979, 571862026274, 616813593013, 665176767645, 717214982001, 773184884517, 833388145482, 898119711178, 967724877009, 1042542377365, 1122967255270, 1209388291864, 1302257214452, 1402019972659, 1509192879495, 1624287128212, 1747892574578, 1880594858726, 2023067533554, 2175981127591, 2340104414569, 2516204661856, 2705158928082, 2907844678428, 3125262034933, 3358413925804, 3608440308089, 3876486851547, 4163852316032, 4471844729837, 4801943109285, 5155640041330, 5534619080434, 5940582497922, 6375445844481, 6841149522333, 7339872080939, 7873824230046, 8445482586791, 9057364515428, 9712284274753, 10413107009943, 11163029286480, 11965310458534, 12823579823459, 13741543355587, 14723319967112, 15773121431777, 16895620371233, 18095601128105, 19378362332563, 20749336155643, 22214528656133, 23780104736707, 25452869583742, 27239816459405, 29148652951798, 31187308384784, 33364508979257, 35689241428131, 38171381290523, 40821109163633, 43649597021680, 46668372928843, 49890070576891, 53327738284600, 56995657234565, 60908590200699, 65082674605721, 69534605921941, 74282612243960, 79345566977100, 84744052009232, 90499394074159, 96634824271883, 103174431756954, 110144428212725, 117572012196143, 125486747619968, 133919331634411, 142903097106810, 152472676233478, 162665637897282, 173521038698897, 185081206774267, 197390171516162, 210495606543753, 224447128316267, 239298412255397, 255105349990397, 271928353400565, 289830359576895, 308879339010555, 329146136356931, 350707200434480] For the set of patterns, {[0, 0, 1], [1, 0, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 12, 17, 22, 33, 39, 53, 65, 88, 111, 142, 172, 221, 267, 341, 414, 517, 617, 765, 914, 1121, 1339, 1632, 1935, 2339, 2760, 3313, 3902, 4660, 5474, 6508, 7612, 8995, 10494, 12354, 14360, 16839, 19530, 22821, 26420, 30745, 35474, 41169, 47397, 54833, 62986, 72659, 83284, 95843, 109658, 125846, 143676, 164496, 187446, 214174, 243586, 277683, 315300, 358732, 406662, 461819, 522631, 592375, 669357, 757401, 854508, 965296, 1087466, 1226445, 1379795, 1553761, 1745656, 1962919, 2202412, 2472959, 2771161, 3107315, 3477725, 3894546 , 4353633, 4869129, 5436814, 6073157, 6773606, 7557696, 8420198, 9383962, 10443841, 11626359, 12926259, 14374505, 15965680, 17736008, 19680229, 21840443, 24211555, 26843034, 29730003, 32929958, 36439226, 40324010, 44582004, 49290862, 54449431, 60148046, 66387872, 73273682, 80809721, 89117913, 98206003, 108215186 , 119159013, 131201016, 144360815, 158828594, 174630752, 191988183, 210938096, 231735485, 254429986, 279316927, 306460370, 336202605, 368626672, 404127926, 442811068, 485134724, 531230065, 581626914, 636490356, 696430520, 761652147, 832861694, 910309787, 994812542, 1086676991, 1186844071, 1295688544, 1414296798 , 1543122584, 1683417622, 1835732375, 2001508389, 2181408322, 2377095721, 2589362800, 2820126230, 3070336619, 3342197484, 3636844425, 3956814468, 4303458289, 4679694844, 5087130054, 5529118783, 6007562304, 6526320366, 7087639919, 7695955020, 8353921568, 9066626773, 9837201763, 10671491305, 11573173001, 12548955727, 13603158495, 14743474345, 15974968271, 17306465309, 18743892167, 20297360854, 21973804649, 23784806160, 25738457591, 27848031543, 30122953372, 32578420278, 35225412671, 38081314211, 41158896866, 44478048732, 48053601998, 51908300626, 56059357024, 60532761993, 65348460621, 70536159810, 76118947108, 82130749280, 88598280400, 95560258429, 103047554542, 111104364851, 119766316078, 129083828342, 139097994009, 149866300402, 161436102454, 173872932683, 187231305384, 201585882101, 216999389575, 233556853102, 251330367990, 270416749979, 290898778237, 312886640640, 336475353955, 361790247696, 388940287231, 418067996205, 449298227391, 482792993397, 518695269926, 557189134695, 598438179707, 642651510127, 690016178022, 740769593213, 795125524102, 853353384789, 915697301879, 982462958755, 1053928930225, 1130441895244, 1212319572905, 1299954956369, 1393710193170, 1494030654140, 1601328848771, 1716109274823, 1838841582421, 1970097026380, 2110409954372, 2260427038305, 2420755848051, 2592128124222, 2775234399020, 2970902306084, 3179916209148, 3403211918113, 3641679852951, 3896377754113, 4168315957348, 4458689542847, 4768644261513, 5099529958886, 5452645267609, 5829514221170, 6231608098251, 6660646919198, 7118296685313, 7606498059436, 8127136515270, 8682400838782, 9274423962203, 9905673588867, 10578561442011, 11295868791854, 12060321259030, 12875052355333, 13743141160610, 14668116800735, 15653455977429, 16703132161709, 17821069166913, 19011739159094, 20279568835134, 21629589788517, 23066793816350, 24596840153522, 26225355330073, 27958702378171, 29803220725067, 31766062242980, 33854366485743, 36076169487424, 38439508588059, 40953410162801, 43626918794359, 46470169775504, 49493336970994, 52707797443640, 56124990616888, 59757683261717, 63618732981201, 67722461254221, 72083314100111, 76717352092238, 81640799576368, 86871661553399, 92428153056846, 98330452517007, 104599002057292, 111256409162765] For the set of patterns, {[0, 0, 1], [1, 0, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 11, 18, 23, 32, 38, 54, 66, 90, 109, 143, 172, 224, 271, 345, 415, 520, 621, 777, 923, 1142, 1352, 1655, 1952, 2375, 2791, 3369, 3960, 4749, 5553, 6624, 7723, 9166, 10664, 12592, 14612, 17193, 19901, 23310, 26920, 31413, 36187, 42100, 48393, 56106, 64374, 74414, 85202, 98226, 112225, 129029, 147172, 168792, 192161, 219881, 249892, 285308, 323739, 368835, 417800, 475071, 537298, 609776, 688653, 780109, 879710, 994845, 1120307, 1264822, 1422434, 1603336, 1800720, 2026701, 2273305, 2554786, 2862165, 3212047, 3594164, 4028122 , 4502057, 5039031, 5625674, 6288741, 7013116, 7830241, 8722864, 9727752, 10825587, 12059030, 13406331, 14917553, 16568012, 18416008, 20434184, 22689978, 25153118, 27902159, 30903115, 34247272, 37897333, 41958958, 46390907, 51316101, 56688787, 62651483, 69154579, 76362479, 84221295, 92921688, 102404749, 112891029, 124317558, 136938462, 150686496, 165855714, 182374148, 200581173, 220401483, 242225714, 265975530, 292102146, 320523943, 351760708, 385730557, 423030841, 463580603, 508067829, 556413085, 609407951, 666979053, 730035437, 798512232, 873455131, 954810602, 1043779709, 1140328355, 1245833580, 1360285782 , 1485266395, 1620796331, 1768689980, 1929011087, 2103837683, 2293286648, 2499741332, 2723383536, 2966943779, 3230688469, 3517742144, 3828474177, 4166463543, 4532203237, 4929788470, 5359868404, 5827124108, 6332392351, 6881027966, 7474089737, 8117698591, 8813186957, 9567545605, 10382431260, 11265831493, 12219787132, 13253418456, 14369231369, 15577630070, 16881667751, 18293219767, 19815981635, 21463499604, 23240235948, 25161631208, 27233047033, 29472088122, 31885167436, 34492344965, 37301276834, 40334806911, 43602041321, 47128999576, 50926473877, 55024083681, 59434602947, 64191730569, 69310541642, 74829379402, 80765984354, 87163964741, 94044172666, 101456177963, 109424432468, 118005283198, 127227341695, 137154628777, 147820587219, 159297921728, 171625644713, 184886322330, 199125379977, 214436543405, 230872653065, 248540052540, 267500111371, 287873479802, 309731322748, 333210464103, 358393351586, 385435089335, 414431063306, 445557080053, 478923344335, 514729049366, 553101418756, 594266052836, 638369643673, 685667660385, 736329043369, 790642979288, 848803881151, 911138977345, 977871753830, 1049372417538, 1125897613290, 1207866020655, 1295572148129, 1389489319918, 1489955166787, 1597504690664, 1712524599576, 1835619395941, 1967231697006, 2108044288588, 2258563350290, 2419559921463, 2591612386618, 2775591147226, 2972156664682, 3182291175613, 3406748271269, 3646636142260, 3902813980885, 4176531659279, 4468768182905, 4780932749531, 5114140084532, 5469978634459, 5849716762684, 6255144386768, 6687703858500, 7149411461025, 7641906304694, 8167459099949, 8727931355613, 9325879496578, 9963416451390, 10643419388706, 11368285126988, 12141251006923, 12965034240267, 13843276278363, 14779055959338, 15776467996104, 16838998983050, 17971252120872, 19177173532488, 20461936451499, 21830004879848, 23287190906564, 24838541643351, 26490585211385, 28249024972923, 30121191065018, 32113525412107, 34234256208178, 36490655873789, 38891958237985, 41446369184448, 44164248008413, 47054849692756, 50129792729582, 53399510296742, 56877029680413, 60574106702361, 64505343980535, 68683981930229, 73126384217038, 77847456522104, 82865531088918, 88197380792274, 93863537340531, 99882866875261, 106278357849480, 113071221729643, 120287190861611] For the set of patterns, {[0, 0, 1], [1, 0, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 12, 18, 23, 32, 39, 56, 68, 90, 112, 146, 178, 230, 278, 354, 427, 535, 642, 800, 955, 1174, 1400, 1708, 2025, 2456, 2899, 3489, 4113, 4918, 5774, 6876, 8045, 9524, 11118, 13109, 15247, 17911, 20778, 24309, 28142, 32799, 37868, 44013, 50688, 58715, 67488, 77953, 89393, 102986, 117863, 135425, 154708, 177323, 202163, 231238, 263139, 300296, 341169, 388547, 440668, 500911, 567176, 643502, 727532, 823963, 930115, 1051677, 1185441, 1338129, 1506284, 1697649, 1908339, 2147626, 2410978, 2709371, 3037806, 3409030, 3817528, 4278434 , 4785401, 5356168, 5984026, 6689487, 7465150, 8335362, 9291700, 10362780, 11539655, 12855390, 14300563, 15914017, 17685307, 19659852, 21826985, 24239327, 26885616, 29827732, 33053663, 36635463, 40561506, 44914915, 49684575, 54967726, 60753001, 67153732, 74160135, 81903226, 90374936, 99728002, 109956348, 121237145, 133568577, 147155154, 162000069, 178341525, 196187561, 215814578, 237239818, 260781965, 286469082, 314670858, 345427726, 379167630, 415948415, 456263764, 500192368, 548306559, 600708607, 658059880, 720496025, 788778397, 863081367, 944285645, 1032610028, 1129071643, 1233946501, 1348405699, 1472793791, 1608462858, 1755836430, 1916472609, 2090895476, 2280896819, 2487117079, 2711623016, 2955190076, 3220198428, 3507590268, 3820100061, 4158866940, 4527038508, 4925980605, 5359312775, 5828676454, 6338227677, 6889927546, 7488555785, 8136445345, 8839085494, 9599255652, 10423250059, 11314368667, 12279839035, 13323559252, 14453822421, 15675238160, 16997309626, 18425471497, 19970621833, 21639150817, 23443544314, 25391317068, 27496760350, 29768689275, 32223475574, 34871428484, 37731288197, 40815119008, 44144347635, 47733063976, 51605778055, 55778910648, 60280482114, 65129622924, 70358341943, 75988890416, 82057845189, 88591039230, 95630238809, 103205437539, 111364288475, 120141560653, 129591639345, 139754763944, 150692970686, 162452812483, 175105002239, 188703337078, 203328423174, 219042344297, 235936931592, 254083812405, 273587543284, 294530657764, 317032210728, 341187190126, 367131088326, 394973187451, 424867587469, 456939903123, 491365386111, 528288262318, 567907749305, 610389372549, 655959475180, 704807846789, 757191621658, 813328218416, 873509605383, 937984749161, 1007084996153, 1081095210920, 1160391383060, 1245299150377, 1336244982576, 1433600970543, 1537850602560, 1649418732872, 1768853378825, 1896639281755, 2033397331616, 2179680343601, 2336191457725, 2503560684023, 2682584153974, 2873979319581, 3078647230738, 3297404587167, 3531270716831, 3781174705284, 4048269410377, 4333611079719, 4638503091393, 4964145705804, 5312011872969, 5683464693085, 6080168331024, 6503669872195, 6955848774510, 7438460231458, 7953625976998, 8503336171063, 9089985450309, 9715829093526, 10383568758873, 11095759059993, 11855446848765, 12665524324038, 13529426673275, 14450426541531, 15432395530652, 16479035272133, 17594707610026, 18783597251857, 20050617031430, 21400495391881, 22838763796058, 24370762935855, 26002718492392, 27740659899594, 29591592188843, 31562319067199, 33660719801799, 35894468777687, 38272425515199, 40803242560413, 43496878798808, 46363085260222, 49413052796756, 52657766205874, 56109796368744, 59781512678759, 63687032241387, 67840277457529, 72257096702770, 76953154557709, 81946237033818, 87253961691417, 92896283305984, 98893007853063, 105266516113469 , 112039066207699, 119235751770657, 126881576801312, 135004668697320] For the set of patterns, {[0, 0, 1], [1, 0, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 13, 19, 26, 36, 44, 61, 77, 104, 128, 166, 206, 264, 325, 413, 504, 629, 761, 943, 1139, 1402, 1684, 2049, 2449, 2965, 3527, 4240, 5028, 6019, 7111, 8456, 9949, 11788, 13823, 16299, 19055, 22393, 26105, 30556, 35511, 41429, 48025, 55834, 64558, 74855, 86339, 99813, 114871, 132467, 152099, 174944 , 200443, 230020, 263034, 301147, 343689, 392694, 447356, 510095, 580042, 660118, 749371, 851256, 964738, 1093991, 1237898, 1401354, 1583242, 1789473, 2018813, 2278224, 2566496, 2891964, 3253475, 3660831, 4112935, 4621541, 5185696 , 5819179, 6521350, 7308666, 8180811, 9157137, 10237869, 11445923, 12782365, 14274171, 15923259, 17761714, 19792778, 22053977, 24550294, 27326231, 30388923, 33790501, 37540870, 41701615, 46286159, 51366653, 56960741, 63153693, 69968601, 77505171, 85793209, 94950081, 105013826, 116121927, 128322375, 141776632, 156545291, 172817264, 190667705, 210318286, 231862570, 255559631, 281524793, 310061595, 341311988, 375630510, 413190353, 454406312, 499490229, 548926116, 602970692, 662189621, 726894451, 797744504, 875115555, 959776933, 1052181698, 1153226436, 1263454559, 1383910807, 1515247560, 1658680566, 1814988925, 1985588106, 2171408782, 2374096474, 2594758668, 2835308722, 3097064237, 3382247922, 3692421656, 4030166595, 4397334694, 4796921191, 5231114550, 5703389688, 6216332343, 6773970820, 7379352224, 8037144258, 8750936568, 9526134968, 10366957509, 11279661434, 12269202824, 13342820608, 14506323754, 15768083075, 17134905249, 18616464127, 20220720165, 21958847302, 23840151941, 25877534684, 28081854533, 30467996888, 33048628029, 35840916054, 38859611093, 42124502739, 45652758754, 49467179473, 53587719560, 58040632965, 62849100372, 68043340620, 73650245831, 79704577313, 86237516428, 93289032908, 100895239255, 109102067690, 117951316256, 127495747310, 137783688420, 148875710860, 160827658529, 173709042583, 187584326245, 202533231139, 218630128540, 235966414302, 254627810964, 274719039216, 296338844941, 319607169030, 344637663130, 371567621736, 400527774193, 431675219796, 465160210061, 501162405780, 539854397309, 581441565366, 626122009173, 674130385722, 725693939764, 781080674707, 840551085024, 904411094439, 972959142971, 1046544306126, 1125508261825, 1210249117670, 1301157839118, 1398688274774, 1503287499167, 1615472649124, 1735754674724, 1864722594531, 2002960007756, 2151137476715, 2309921220494, 2480074338887, 2662356917783, 2857636946972, 3066781147964, 3290776436481, 3530610579205, 3787405186130, 4062285383745, 4356525372278, 4671406056665, 5008374315409, 5368887659891, 5754588429999, 6167134228621, 6608388424416, 7080235251182, 7584788048923, 8124187595275, 8700829685471, 9317145392594, 9975849702539, 10679702012312, 11431777697672, 12235207344905, 13093473265805, 14010125487860, 14989105455336, 16034436988981, 17150579543976, 18342091890646, 19614017512582, 20971518913270, 22420298003473, 23966198391560, 25615663786924, 27375305858277, 29252403980756, 31254435597173, 33389620897811, 35666412847735, 38094090707049, 40682206223415, 43441230159425, 46381951334633, 49516180817532, 52856099729136, 56415025983852, 60206707052459, 64246154676115, 68548877882721, 73131791426175, 78012384602389, 83209709800923, 88743481753305, 94635152883217, 100906937804684, 107582983041826, 114688310552475, 122250089639513, 130296493588935, 138858082565466, 147966566227729, 157656306827512, 167962980910858, 178925212955487, 190583128019653, 202980126645222, 216161320510488, 230175460767335] For the set of patterns, {[0, 0, 1], [1, 0, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 20, 27, 37, 47, 64, 82, 107, 137, 175, 221, 280, 348, 438, 541, 671, 822, 1012, 1233, 1506, 1824, 2210, 2662, 3209, 3843, 4605, 5493, 6548, 7776, 9227, 10911, 12895, 15189, 17879, 20986, 24617, 28794, 33657, 39255 , 45735, 53179, 61778, 71628, 82987, 95962, 110873, 127898, 147407, 169634, 195037, 223948, 256907, 294344, 336954, 385249, 440127, 502232, 572635, 652225, 742278, 843910, 958723, 1088111, 1234046, 1398265, 1583198, 1791016, 2024713, 2286999, 2581469, 2911578, 3281707, 3696071, 4160084, 4678933, 5259198, 5907306 , 6631213, 7438856, 8339913, 9344092, 10463100, 11708862, 13095619, 14637774, 16352654, 18257828, 20374143, 22723089, 25329655, 28219978, 31424292, 34974086, 38905791, 43257456, 48072979, 53398152, 59285635, 65790773, 72976508, 80909549, 89665188, 99323414, 109974629, 121714412, 134650757, 148898313, 164585784, 181850305, 200845144, 221734117, 244699720, 269937159, 297663570, 328111079, 361538029, 398220320, 438464096, 482597625, 530983389, 584010907, 642109427, 705740194, 775411379, 851668511, 935112107, 1026387036, 1126202259, 1235319543, 1354574110, 1484865293, 1627176991, 1782568519, 1952198506, 2137313262, 2339275656, 2559551587, 2799741312, 3061567671, 3346908724, 3657786821, 3996403848, 4365131389, 4766549718, 5203436583, 5678812862, 6195929751, 6758320163, 7369787397, 8034458565, 8756778180, 9541565845, 10394009660, 11319732808, 12324786817, 13415727295, 14599607660, 15884063223, 17277309188, 18788231323, 20426390977, 22202121308, 24126539173, 26211655315, 28470384442, 30916674441, 33565519932, 36433105081, 39536827775, 42895452679, 46529149894, 50459663096, 54710358694, 59306414764, 64274879175, 69644888944, 75447733811, 81717103780, 88489174485, 95802873869, 103699996970, 112225497127, 121427624487 , 131358260133, 142073071128, 153631891586, 166098905527, 179543075145, 194038360454, 209664190355, 226505735964, 244654429498, 264208287351, 285272498688, 307959789747, 332391102829, 358696011913, 387013480092, 417492360061, 450292230554, 485583989497, 523550785121, 564388706538, 608307838632, 655533045133, 706305171950, 760881936532, 819539289613, 882572450573, 950297410126, 1023052154845, 1101198341976, 1185122702619, 1275238941719, 1371989324988, 1475846842833, 1587317013052, 1706940314770, 1835294265149, 1972996139764, 2120705374952, 2279126597565, 2449012382131, 2631166679456, 2826447921699, 3035772918424, 3260120373193, 3500535268212, 3758132895097, 4034103744582, 4329718128334, 4646331666722, 4985390539812, 5348437672501, 5737118667180, 6153188810049, 6598519762555, 7075107448991, 7585079670097, 8130704924988, 8714401098198, 9338745332690, 10006483865778, 10720543175660, 11484041052470, 12300299169138, 13172855573171, 14105478827085, 15102182144194, 16167239222944, 17305200275011, 18520909766819, 19819524532215, 21206533717788, 22687779141719, 24269477790473, 25958244712900, 27761118265076, 29685585966277, 31739612764810, 33931670230686, 36270768222391, 38766487749205, 41429016551639, 44269186002571, 47298511093503, 50529231856654, 53974358243631, 57647716740370, 61564000546787, 65738822086974, 70188769180808, 74931464013148, 79985626148988, 85371138598945, 91109118548244, 97221991422286, 103733570084994 , 110669137973052, 118055537675699, 125921264289468, 134296564426902, 143213540888226, 152706263545470, 162810886441871, 173565772025612, 185011622142823, 197191617021451, 210151562037234, 223940042906825, 238608590102934, 254211852247564, 270807780059332, 288457820184325] For the set of patterns, {[0, 0, 1], [1, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 13, 20, 27, 36, 46, 64, 81, 107, 133, 176, 217, 280, 343, 437, 534, 670, 813, 1011, 1222, 1506, 1808, 2209, 2644, 3213, 3820, 4609, 5471, 6562, 7748, 9247, 10891, 12933, 15173, 17938, 20990, 24718, 28821, 33808, 39334 , 45979, 53323, 62135, 71901, 83520, 96394, 111650, 128585, 148535, 170669, 196640, 225490, 259183, 296585, 340122, 388471, 444535, 506780, 578694, 658574, 750583, 852705, 969962, 1100167, 1249250, 1414650, 1603558, 1813144, 2051923, 2316660, 2617552, 2951106, 3329415, 3748476, 4222746, 4748018, 5341301, 5997933 , 6738198, 7557209, 8478905, 9497997, 10642858, 11908146, 13327415, 14894921, 16650319, 18588305, 20755447, 23146408, 25816225, 28760410, 32043623, 35661902, 39691494, 44130123, 49067323, 54502230, 60540261, 67183664, 74555834, 82662203, 91647820, 101523118, 112457870, 124468380, 137753515, 152337788, 168454122, 186136349, 205656965, 227062920, 250672829, 276548557, 305062439, 336296350, 370685149, 408334051, 449750172, 495069140, 544882769, 599361485, 659195051, 724598948, 796376939, 874796316, 960793210, 1054700225, 1157607022, 1269922675, 1392914164, 1527085142, 1673909215, 1834000106, 2009069667, 2199867055, 2408380767, 2635517639, 2883585833, 3153683261, 3448488769, 3769324214, 4119295091, 4499992194, 4915016851, 5366273910, 5857933998, 6392278437, 6974138095, 7606232642, 8294151909, 9041137116, 9853657154, 10735560939, 11694326099, 12734521210, 13864791934, 15090543125, 16421759607, 17864834822, 19431299919, 21128695272, 22970327003, 24965083465, 27128317167, 29470480989, 32009273750, 34756979460, 37734000894, 40954744014, 44442708229, 48214778141, 52298015728, 56712173639, 61488393968, 66649767411, 72232124157, 78262415670, 84781835325, 91821815098, 99429707843, 107642118321, 116513439338, 126086269031 , 136423074029, 147573361530, 159608822826, 172586951419, 186590004748, 201684675069, 217965280653, 235509123865, 254424328860, 274800398749, 296761204377, 320410300571, 345889560997, 373318677464, 402860046428, 434651910705, 468880103301, 505704151406, 545336581016, 587961345391, 633821432734, 683128780289, 736161042698, 793162232219, 854449523112, 920303625896, 991086662485, 1067121345922, 1148820984287, 1236556297834, 1330798765724, 1431973978034, 1540619602684, 1657223867652, 1782399606042, 1916706552975, 2060842981910, 2215450165237, 2381323346381, 2559196754725, 2749975757978, 2954500482385, 3173801178640, 3408838553806, 3660784571824, 3930737159128, 4220028855190, 4529913669473, 4861906203503, 5217437893063, 5598229496012, 6005914040872, 6442445832521, 6909686837117, 7409855611075, 7945073973593, 8517859609313, 9130629136574, 9786238444312, 10487438447967, 11237467558511, 12039455568722, 12897073099689, 13813879160058, 14794032818165, 15841579101264, 16961228581033, 18157576347334, 19435955768176, 20801584221234, 22260497770614, 23818617460312, 25482772271100, 27259678602150, 29157059473966, 31182529843533, 33344820799516, 35652562088602, 38115620639458, 40743771659449, 43548161887148, 46539859053612, 49731450926072, 53135463008993, 56766105570046, 60637547683719, 64765825302929, 69166959690055, 73859040926873, 78860176882795, 84190767465129, 89871270115244, 95924681825522, 102374104886365, 109245454732226, 116564809548747, 124361363907963, 132664543302627, 141507224845849, 150922597442865, 160947673087508, 171619870681012, 182980842780635, 195072760580450, 207942483840567, 221637521308237, 236210573047311, 251715140125412, 268210471805392, 285756794591610, 304420698676416] For the set of patterns, {[0, 1, 0], [0, 1, 1], [1, 0, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 9, 13, 18, 22, 30, 41, 55, 67, 87, 110, 143, 179, 224, 276, 344 , 420, 522, 641, 784, 943, 1148, 1381, 1668, 1997, 2405, 2870, 3424, 4053, 4817 , 5696, 6733, 7921, 9348, 10969, 12866, 15028, 17576, 20481, 23866, 27703, 32199, 37325, 43243, 49943, 57701, 66498, 76616, 88069, 101233, 116122, 133157, 152397, 174430, 199263, 227491, 259299, 295516, 336248, 382422, 434318, 493097, 559079, 633624, 717210, 811556, 917162, 1035991, 1168967, 1318519, 1485576, 1673037, 1882325, 2116922, 2378486, 2671157, 2997233, 3361809, 3767393, 4219911 , 4723071, 5284095, 5907109, 6600698, 7370364, 8226365, 9175264, 10229198, 11396664, 12692459, 14126292, 15715365, 17472508, 19418527, 21568232, 23946298, 26571477, 29473102, 32673408, 36206938, 40101430, 44398393, 49130255, 54345918, 60085913, 66407966, 73359404, 81009098, 89415229, 98658894, 108808860, 119960745, 132198306, 145634837, 160368415, 176532471, 194246566, 213667718, 234936297, 258237935, 283740800, 311662458, 342201748, 375614928, 412139828, 452077390, 495706140, 543379669, 595431345, 652274561, 714299902, 781993653, 855819061, 936344316, 1024113510, 1119791918, 1224022663, 1337582981, 1461224699, 1595857573, 1742370190, 1901821381, 2075249073, 2263892109, 2468970161, 2691924339, 2934179402, 3197415428, 3483304111, 3793799863, 4130848147, 4496725248, 4893711473, 5324446846, 5791582457, 6298190007, 6847364644, 7442667976, 8087698151, 8786588376, 9543531523, 10363314521, 11250798111, 12211533693, 13251178773, 14376148798, 15592997019, 16909154893, 18332227146, 19870796267, 21533664218, 23330750734, 25272254543, 27369620414, 29634628212, 32080495156, 34720853111, 37570924386, 40646439102, 43964955062, 47544634375, 51405682776, 55569036604, 60057961166, 64896601123, 70111702770, 75731048919, 81785406861, 88306776705, 95330479159, 102893301125, 111035821629, 119800332203, 129233379504, 139383533410, 150304194645, 162051139469, 174685555205, 188271400239, 202878805782, 218581131745, 235458633530, 253595352357, 273083171347, 294018343310, 316505927745, 340656073583, 366588906308, 394430450770, 424317921423, 456395352598, 490819487714, 527754929738, 567380516748, 609884203726, 655470072157, 704352648095, 756764579644, 812950568184, 873175798001, 937719297344, 1006883077416, 1080985050938, 1160369158546, 1245397533993, 1336461481657, 1433973225059, 1538377948627, 1650144693270, 1769779533949, 1897815873591, 2034828884574, 2181424927808, 2338257228428, 2506014641469, 2685438951754, 2877312487875, 3082476912597, 3301820217618, 3536297277235, 3786915566744, 4054757651661, 4340966028169, 4646767735587, 4973457886537, 5322426398951, 5695140581097, 6093174541010, 6518190085881, 6971968726327, 7456391675240, 7973474774329, 8525346666401, 9114287017910, 9742703432209, 10413173204451, 11128418372247, 11891351140421, 12705047634126, 13572797713165, 14498076329361, 15484597819736, 16536286051714, 17657333601853, 18852169388122, 20125523417014, 21482392724455, 22928112049626, 24468317247780, 26109022225071, 27856580695269, 29717770397461, 31699751659013, 33810159278636, 36057059587860, 38449050506335, 40995215362721, 43705232367544, 46589326376230, 49658388318393, 52923923788265, 56398183143567, 60094108256727, 64025474744740, 68206834781894, 72653672371932, 77382344658104, 82410250962225, 87755770348931, 93438446556698, 99478923502296, 105899146960840 , 112722296603566, 119973005874420, 127677292627854, 135862799260122] For the set of patterns, {[0, 1, 0], [0, 1, 1], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 14, 19, 26, 35, 47, 61, 79, 103, 132, 169, 212, 268, 335, 419, 520, 641, 789, 968, 1180, 1438, 1745, 2111, 2546, 3062, 3671, 4394, 5241, 6243, 7418, 8797, 10402, 12285, 14473, 17026, 19986, 23430, 27412, 32026, 37354 , 43504, 50588, 58744, 68107, 78880, 91220, 105361, 121533, 140036, 161151, 185248, 212685, 243936, 279476, 319871, 365694, 417713, 476629, 543367, 618843, 704196, 800569, 909362, 1032023, 1170295, 1325958, 1501159, 1698100, 1919477, 2168012, 2446937, 2759681, 3110228, 3502761, 3942187, 4433620, 4983078, 5596883 , 6282310, 7047107, 7900198, 8851024, 9910378, 11089832, 12402573, 13862550, 15485779, 17289258, 19292359, 21515740, 23982737, 26718366, 29750919, 33110547, 36831261, 40949610, 45506491, 50545852, 56116912, 62272559, 69071903, 76578385, 84862816, 94001401, 104079037, 115186851, 127426138, 140906196, 155748064, 172082073, 190052564, 209815142, 231541794, 255417898, 281647917, 310452539, 342074942, 376777256, 414847977, 456598676, 502371448, 552535302, 607495638, 667689704, 733597204, 805735332, 884670721, 971015126, 1065437692, 1168660346, 1281472098, 1404724743, 1539348359, 1686345913, 1846812383, 2021928660, 2212982245, 2421361826, 2648579777, 2896267810, 3166201800, 3460295830, 3780632575, 4129457342, 4509210364, 4922521500, 5372247262, 5861466673, 6393520991, 6972010525, 7600839993, 8284216468, 9026700295, 9833202222, 10709042788, 11659951484, 12692130680, 13812257811, 15027558240, 16345809207, 17775420912, 19325442834, 21005656838, 22826586464, 24799600488, 26936925319, 29251763082, 31758311412, 34471890740, 37408971337, 40587320202, 44026032506, 47745697056, 51768434905, 56118087408, 60820265982, 65902559345, 71394595481, 77328278436, 83737863420, 90660219109, 98134919030, 106204542253, 114914780986, 124314774930, 134457242805, 145398859885, 157200416189, 169927238048, 183649372730, 198442069980, 214385999668, 231567787544, 250080274125, 270023122612, 291503120036, 314634857101, 339541084327, 366353479887, 395213065622, 426271065396, 459689388765, 495641608195, 534313518294, 575904224585, 620626798846, 668709511715, 720396587732, 775949585864, 835648274639, 899792193450, 968701659999, 1042719520885, 1122212313243, 1207572243334, 1299218524653, 1397599586770, 1503194623429, 1616516089153, 1738111463202, 1868566055778, 2008505031347, 2158596575315, 2319554212783, 2492140349096, 2677168931938, 2875509445290, 3088089947517, 3315901547006, 3560001872583, 3821520128589, 4101661035855, 4401710503368, 4723040133917, 5067113597927, 5435491768940, 5829839863929, 6251933290241, 6703665696025, 7187055595654, 7704255394990, 8257558933025, 8849411633163, 9482419054181, 10159358261709, 10883187546565, 11657059203261, 12484330536198, 13368578186615, 14313610594772, 15323484114516, 16402517100607, 17555307955012, 18786751095704, 20102057208151, 21506771282821, 23006795302416, 24608408641801, 26318293530348, 28143558059010, 30091764702260, 32170956295474, 34389688033931, 36757056759794, 39282736752368, 41977012798044, 44850820306231, 47915782525091, 51184255462547, 54669369802122, 58385081237552, 62346217630664, 66568535304709, 71068772147492, 75864710630112, 80975237499035, 86420414231967, 92221544174524, 98401251408187, 104983556097714, 111993962672174, 119459544482898, 127409042410803, 135872959884633, 144883673023017, 154475537295231, 164685010670505, 175550773167914, 187113864398630, 199417817644959, 212508813535336, 226435830224732, 241250814950505, 257008852348012, 273768355979369] For the set of patterns, {[0, 1, 0], [0, 1, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 13, 19, 25, 34, 44, 59, 75, 98, 125, 160, 200, 253, 314, 394, 487, 600, 734, 904, 1097, 1336, 1615, 1957, 2352, 2829, 3381, 4047, 4817, 5733, 6798, 8061, 9513, 11226, 13204, 15527, 18194, 21314, 24895, 29075, 33861, 39408, 45759, 53109, 61496, 71167, 82198, 94880, 109318, 125869, 144682, 166209 , 190627, 218478, 250047, 286004, 326654, 372841, 425030, 484219, 550978, 626523, 711627, 807804, 915985, 1037986, 1175066, 1329453, 1502649, 1697391, 1915659, 2160703, 2434984, 2742474, 3086268, 3471220, 3901079, 4381694, 4917875 , 5516701, 6183921, 6928132, 7756599, 8679609, 9706015, 10848239, 12117184, 13527843, 15093447, 16831974, 18759754, 20898383, 23267458, 25893032, 28799117, 32016773, 35574968, 39510928, 43859858, 48666358, 53972661, 59831877, 66295309, 73426426, 81286445, 89951130, 99494344, 110006167, 121574899, 134307749, 148310658, 163711067, 180635246, 199234325, 219659668, 242090429, 266706193, 293719491, 323344711, 355833127, 391439002, 430459527, 473196927, 520002476, 571233820, 627305153, 688640922, 755729458, 829071751, 909243280, 996836650, 1092528665, 1197017904, 1311100394, 1435600143, 1571452357, 1719626099, 1881218723, 2057371637, 2249371609, 2458557808, 2686438306, 2934586588, 3204767480, 3498825013, 3818823564, 4166924413, 4545540525, 4957200010, 5404720372, 5891059700, 6419505424, 6993511004, 7616910298, 8293736449, 9028454774, 9825767218, 10690872358, 11629250934, 12646950652, 13750349962, 14946477892, 16242758189, 17647355519, 19168895383, 20816855067, 22601256202, 24533089944, 26623985100, 28886681320, 31334666960, 33982697842, 36846401402, 39942856241, 43290164024, 46908078256, 50817539580, 55041382541, 59603827147, 64531248191, 69851628591, 75595414988, 81794925025, 88485283806, 95703779668, 103490906421, 111889672264, 120946733350, 130711646627, 141238137132, 152583286594, 164808917045, 177980722465, 192169803972, 207451732669, 223908231250, 241626164033, 260699405405, 281227761323, 303319002890, 327087710963, 352657543331, 380159990821, 409736853595, 441538918736, 475728703716, 512479042679, 551976095093, 594417833765, 640017379220, 689001399292, 741613749718, 798113776480, 858780361039, 923910111128, 993821785413, 1068854393722, 1149372094380, 1235762185349, 1328440474899, 1427849160952, 1534462781558, 1648786000670, 1771360112350, 1902760725806, 2043604980519, 2194549122302, 2356296406669, 2529594598511, 2715244708348, 2914098400709, 3127067588297, 3355121758131, 3599298585878, 3860701207893, 4140509849741, 4439979057058, 4760450578675, 5103350553971, 5470203640197, 5862630224245, 6282362033790, 6731239376946, 7211228293910, 7724417847837, 8273039092982, 8859462491336, 9486218726505, 10155996280069, 10871664467683, 11636271213923, 12453068352441, 13325509727916, 14257279142783, 15252288824407, 16314710157569, 17448972613564, 18659797724828, 19952198611709, 21331517302639, 22803424975225, 24373963246929, 26049545243535, 27837000996272, 29743579576033, 31776999242344, 33945450796406, 36257652780521, 38722856261362, 41350905822978, 44152246083355, 47137988780951, 50319921298212, 53710580839123, 57323265229181, 61172114557832, 65272124737882, 69639237700265, 74290358064402, 79243452475504, 84517569872302, 90132951255676, 96111054163692, 102474673503935, 109247970823820, 116456607879335, 124127781340589, 132290369919954, 140974975424053, 150214085261671, 160042120641438, 170495615685912, 181613273783547, 193436165464512, 206007794091230, 219374313854396] For the set of patterns, {[0, 1, 0], [0, 1, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 14, 20, 26, 34, 46, 62, 79, 102, 131, 167, 211, 266, 332, 416, 514, 633, 780, 959, 1167, 1420, 1723, 2084, 2510, 3018, 3619, 4333, 5165, 6146, 7302, 8659, 10231, 12078, 14233, 16739, 19640, 23015, 26924, 31452, 36664 , 42684, 49630, 57627, 66791, 77329, 89415, 103260, 119073, 137162, 157816, 181387, 208198, 238731, 273472, 312949, 357699, 408487, 466040, 531198, 604851, 688134, 782190, 888350, 1007974, 1142803, 1294633, 1465458, 1657418, 1873171, 2115400, 2387181, 2691827, 3033265, 3415605, 3843516, 4321956, 4856824, 5454346 , 6121437, 6865591, 7695597, 8620651, 9651086, 10798124, 12074624, 13494262, 15072341, 16825339, 18772158, 20932982, 23330133, 25987873, 28933781, 32197223, 35810803, 39809967, 44234515, 49127199, 54535312, 60510021, 67108770, 74393373, 82431747, 91297713, 101073698, 111848205, 123718640, 136790836, 151182127, 167018998, 184440354, 203596720, 224654778, 247794305, 273211964, 301121319, 331757944, 365375623, 402252089, 442688724, 487016524, 535592736, 588807664, 647084062, 710885679, 780713056, 857111702, 940672798, 1032043247, 1131920702, 1241065162, 1360299682, 1490522378, 1632702586, 1787894661, 1957239017, 2141978761, 2343455075, 2563124254, 2802561414, 3063480478, 3347729139, 3657312509, 3994397712, 4361338253, 4760671743, 5195148619, 5667738639, 6181663761, 6740396397, 7347695168, 8007617126, 8724557860, 9503251558, 10348818984, 11266783390, 12263120719, 13344266023, 14517172597, 15789334012, 17168851079, 18664442283, 20285518099, 22042215710, 23945481864, 26007090644, 28239741674, 30657106024, 33273930550, 36106070978, 39170614325, 42485941396, 46071863726, 49949670827, 54142285366, 58674353050, 63572413815, 68864970807, 74582693344, 80758534700, 87427949435, 94628998456, 102402603607, 110792705485, 119846546283, 129614813654, 140151963934, 151516440019, 163771027421, 176983053207, 191224804752, 206573814870, 223113315013, 240932515495, 260127133803, 280799771827, 303060501750, 327027240415, 352826421427, 380593501938, 410473703029, 442622513348, 477206554193, 514404238892, 554406715535, 597418550859, 643658823314, 693361986591, 746779081782, 804178637368, 865848059003, 932094769018, 1003247741204, 1079658689355, 1161703846694, 1249785439902, 1344333642047, 1445808148379, 1554700426787, 1671535631504, 1796875101126, 1931318409465, 2075506222889, 2230122794021, 2395899123310, 2573615632703, 2764105807991, 2968259405551, 3187026467066, 3421420810105, 3672524631283, 3941492637512, 4229557159226, 4538032652684, 4868321530914, 5221919494259, 5600421995165, 6005530048417, 6439057632319, 6902938506736, 7399234401364, 7930142514226, 8498004849885, 9105316946327, 9754738259738, 10449101763983, 11191425748782, 11984924991760, 12833023859839, 13739368597338, 14707842244932, 15742578853933, 16847980028841, 18028730648912, 19289817651187, 20636548114259, 22074570154403, 23609892927069, 25248910287948, 26998423787595, 28865668966441, 30858340788406, 32984623448681, 35253219483468, 37673382866555, 40254951319637, 43008383740882, 45944797040445, 49076007790018, 52414573099530, 55973837617273, 59767980103003, 63812065687375, 68122097545952, 72715075897953, 77609056694829, 82823217178487, 88377921132480, 94294792755503, 100596790565963, 107308289596896, 114455163536176, 122064877196845, 130166579486315, 138791206223939, 147971583447117, 157742543086706, 168141039613709, 179206278594079, 190979846460742, 203505854921201, 216831087190030, 231005158601324, 246080679229250, 262113434065273] For the set of patterns, {[0, 1, 0], [1, 0, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 9, 13, 17, 23, 31, 41, 54, 68, 88, 114, 144, 180, 226, 282, 349 , 433, 533, 653, 797, 968, 1175, 1423, 1714, 2061, 2473, 2957, 3523, 4194, 4980 , 5902, 6979, 8233, 9696, 11403, 13369, 15659, 18314, 21379, 24911, 28997, 33697, 39102, 45300, 52418, 60573, 69918, 80576, 92768, 106681, 122530, 140571, 161112, 184428, 210916, 240944, 274989, 313529, 357153, 406417, 462105, 524947, 595804, 675624, 765546, 866675, 980414, 1108159, 1251614, 1412552, 1593036, 1795186, 2021633, 2275009, 2558365, 2875021, 3228826, 3623677, 4064270, 4555478 , 5102956, 5712686, 6391464, 7146521, 7986310, 8919569, 9956289, 11107261, 12384682, 13801363, 15372088, 17112498, 19040267, 21174361, 23535982, 26147853, 29035780, 32226991, 35752108, 39644205, 43940121, 48679117, 53905345, 59666063, 66013872, 73005426, 80703416, 89175297, 98496329, 108746776, 120015715, 132399445, 146003960, 160943216, 177343444, 195340307, 215083301, 236733570, 260468128, 286477847, 314973065, 346179468, 380344965, 417737521, 458650133, 503398435, 552328766, 605813893, 664261741, 728112131, 797845136, 873978649, 957078555, 1047753442, 1146667519, 1254537888, 1372144497, 1500327745, 1640003854, 1792159197, 1957866967, 2138283767, 2334665908, 2548367693, 2780860561, 3033727757, 3308688487, 3607595767, 3932457328, 4285435146, 4668874360, 5085298124, 5537439756, 6028242125, 6560889348, 7138809677, 7765712455, 8445585914, 9182743983, 9981829081, 10847854955, 11786214072, 12802732795, 13903673827, 15095797900, 16386373784, 17783241646, 19294829769, 20930227829, 22699198302, 24612267139, 26680743459, 28916806748, 31333538406, 33945028817, 36766403402, 39813944087, 43105129413, 46658762690, 50495025638, 54635624984, 59103843079, 63924715226, 69125096965, 74733841761, 80781892697, 87302493794, 94331279620, 101906517642, 110069223486, 118863421562, 128336288804, 138538449285, 149524125259, 161351487258, 174082837817, 187784973738, 202529418904, 218392848788, 235457331462, 253810814078, 273547415557, 294767955449, 317580307284, 342099992826, 368450568109, 396764319142, 427182712273, 459857136482, 494949451025, 532632840415, 573092400745, 616526117620, 663145558848, 713176945230, 766861967856, 824458989493, 886243949677, 952511758256, 1023577332106, 1099777107662, 1181470269194, 1269040472307, 1362897188525, 1463477667448, 1571248495706, 1686707759873, 1810386855501, 1942852914758, 2084710823198, 2236606010657, 2399226737964, 2573307158973, 2759629990126, 2959029971531, 3172396818795, 3400679150575, 3644887868152, 3906100509624, 4185465127342, 4484205170799, 4803623821354, 5145109561441, 5510141070199, 5900293373956, 6317243490909, 6762777350026, 7238796064546, 7747323761846, 8290514705061, 8870662000069, 9490205702106, 10151742565925, 10858035125109, 11612022744820, 12416831837116, 13275788114596, 14192428262513, 15170513686616, 16214043512506, 17327270096375, 18514713696646, 19781179744099, 21131775454195, 22571929139224, 24107408814019, 25744343977748, 27489246487439, 29349034773611, 31331057517031, 33443120753681, 35693514265945, 38091042069452, 40645052086010, 43365470097355, 46262833198491, 49348327709792, 52633826604152, 56131932122922, 59856017659560, 63820275182758, 68039762486345, 72530456166534, 77309304298794, 82394285850026, 87804469724157, 93560080911984, 99682566807255, 106194670988048, 113120507309078, 120485642578065, 128317179292525, 136643847654780, 145496098528094, 154906206036650, 164908371143986] For the set of patterns, {[0, 1, 0], [1, 0, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 9, 12, 18, 23, 30, 39, 54, 68, 88, 110, 140, 176, 224, 276, 345 , 421, 519, 634, 782, 944, 1150, 1384, 1671, 2000, 2403, 2865, 3431, 4072, 4836 , 5716, 6769, 7962, 9385, 11013, 12934, 15128, 17700, 20623, 24053, 27948, 32475, 37637, 43624, 50416, 58280, 67194, 77454, 89081, 102433, 117533, 134854, 154399, 176717, 201944, 230700, 263092, 299937, 341399, 388439, 441355, 501267, 568544, 644610, 729899, 826114, 933999, 1055489, 1191428, 1344305, 1515204, 1707054, 1921349, 2161526, 2429486, 2729499, 3063784, 3437423, 3853534, 4318065 , 4834719, 5410833, 6050941, 6763770, 7555189, 8435455, 9411795, 10496702, 11698771, 13032911, 14510156, 16147985, 17959698, 19966518, 22184494, 24638771, 27349230, 30345489, 33651754, 37303684, 41330015, 45773097, 50668386, 56065609, 62007299, 68553073, 75753848, 83680150, 92393617, 101977095, 112504645, 124074992, 136775881, 150724108, 166025673, 182817498, 201225764, 221412998, 243528896, 267765015, 294300218, 323359254, 355154962, 389952758, 428003410, 469619225, 515099057, 564808443, 619100712, 678406418, 743141753, 813811938, 890909296, 975024439, 1066738364, 1166744089, 1275723129, 1394487262, 1523840600, 1664729862, 1818099135, 1985056693, 2166708531, 2364349340, 2579277155, 2812999688, 3067038381, 3343153043, 3643119661, 3968989486, 4322841535, 4707059838, 5124072046, 5576654443, 6067635859, 6600244757, 7177780541, 7803989087, 8482714566, 9218307505, 10015234357, 10878544445, 11813435218, 12825753763, 13921537223, 15107562386, 16390831099, 17779190798, 19280764271, 20904623115, 22660183416, 24557936357, 26608775308, 28824825370, 31218696820, 33804379925, 36596455564, 39611071438, 42865065291, 46377061465, 50166502582, 54254842196, 58664517568, 63420241490, 68547867291, 74075846040, 80033972446, 86454960951, 93373119028, 100826062543, 108853253511, 117497918210 , 126805436551, 136825431022, 147610059087, 159216274436, 171703954229, 185138434151, 199588446512, 215128868691, 231838543628, 249803267725, 269113403477, 289867206065, 312168203387, 336128823270, 361867620513, 389513201942, 419201205141, 451078676349, 485300757111, 522035440647, 561460073329, 603766522610, 649157370817, 697851647364, 750080668676, 806094292074, 866156523814, 930552288335, 999582673611, 1073572451215, 1152864884578, 1237829912800, 1328858681560, 1426372431856, 1530816590643, 1642670600490, 1762441493359, 1890674621662, 2027946894378, 2174878399136, 2332125129411, 2500391855118, 2680424224073, 2873022786119, 3079034703640, 3299368982348, 3534987582820, 3786922224825, 4056264777436, 4344185615643, 4651923552141, 4980805737935, 5332236922301, 5707721431876, 6108851581379, 6537331644984, 6994965771635, 7483684034391, 8005529588286, 8562687352250, 9157470220513, 9792350417002, 10469945161608, 11193050699542, 11964627165008, 12787836083859, 13666024183666, 14602764333862, 15601838825797, 16667283893081, 17803372158770, 19014661594363, 20305976867748, 21682462887725, 23149565653200, 24713090434308, 26379181857937, 28154387928978, 30045639004457, 32060317741848, 34206237750186, 36491719732025, 38925569499252, 41517161616527, 44276416437282, 47213891632673, 50340759178529, 53668904932668, 57210905336175, 60980136859431, 64990751988150, 69257798907954, 73797197985216, 78625872179858, 83761723778618, 89223777555804, 95032157381098, 101208242955598, 107774647730245, 114755389634913, 122175870236350, 130063062258183, 138445489526556, 147353432179362] For the set of patterns, {[0, 1, 0], [1, 0, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 9, 13, 18, 23, 30, 40, 56, 70, 88, 113, 144, 181, 229, 284, 354 , 433, 534, 656, 805, 974, 1182, 1434, 1728, 2070, 2487, 2974, 3554, 4220, 5012 , 5941, 7032, 8284, 9756, 11477, 13472, 15761, 18437, 21523, 25099, 29191, 33916, 39362, 45632, 52772, 60994, 70398, 81155, 93400, 107426, 123391, 141568, 162206, 185701, 212393, 242677, 276886, 315729, 359655, 409314, 465328, 528640, 599994, 680413, 770878, 872775, 987317, 1116041, 1260375, 1422524, 1604290, 1807918, 2035834, 2291066, 2576439, 2895419, 3251490, 3649236, 4092955, 4587787 , 5138873, 5752998, 6436591, 7197095, 8042548, 8982549, 10026537, 11185797, 12471814, 13898672, 15480466, 17233293, 19174197, 21323524, 23701750, 26332174, 29239835, 32453797, 36003568, 39923235, 44248594, 49021125, 54283931, 60085191, 66476597, 73517532, 81269163, 89800536, 99185616, 109508194, 120855542, 133325832, 147023946, 162067744, 178581872, 196704179, 216582772, 238384197, 262282887, 288473257, 317164178, 348587542, 382988925, 420640178, 461833313, 506891573, 556158769, 610013018, 668860655, 733151844, 803363443, 880020345, 963687872, 1054986229, 1154577234, 1263186785, 1381594450, 1510656179, 1651285211, 1804479832, 1971313427, 2152961978, 2350679963, 2565835997, 2799904560, 3054491994, 3331316644, 3632251604, 3959307714, 4314678215, 4700708427, 5119946787, 5575134139, 6069250688, 6605485100, 7187297782, 7818410293, 8502858596, 9244963172, 10049411306, 10921233361, 11865882993, 12889200417, 13997502820, 15197579164, 16496774464, 17902950860, 19424609852, 21070879189, 22851620252, 24777391448, 26859597681, 29110473419, 31543223780, 34171991786, 37012023811, 40079679576, 43392597775, 46969653049, 50831189600, 54999019742, 59496629136, 64349157970, 69583668659, 75229162947, 81316842471, 87880099338, 94954837487, 102579521718, 110795504580, 119647010322, 129181567197, 139450069924, 150507164281, 162411302471, 175225238450, 189016130926, 203856052512, 219822055005, 236996795406, 255468700605, 275332594585, 296689806637, 319648965743, 344326240404, 370846081595, 399341462026, 429954828678, 462838414564, 498155238982, 536079394974, 576797240917, 620507881430, 667424362864, 717774118868, 771800461214, 829763224038, 891940242651, 958628019066, 1030143568649, 1106825238558, 1189034647647, 1277157550985, 1371606098454, 1472820049788, 1581269095150, 1697454068385, 1821909813146, 1955206712862, 2097953631993, 2250799574038, 2414437223401, 2589604951013, 2777090545563, 2977733413579, 3192428910399, 3422131117180, 3667857416880, 3930691370290, 4211788267575, 4512378587962, 4833773771996, 5177370101716, 5544655473277, 5937213979708, 6356733141756, 6805008949277, 7283954264123, 7795604837595, 8342128322929, 8925830726240, 9549167077513, 10214749035277, 10925356105893, 11683944241920, 12493658860464, 13357844732153, 14280060101442, 15264087571642, 16313950418444, 17433925288971, 18628559780566, 19902686390825, 21261442930902, 22710288691828, 24255026237268, 25901819584521, 27657219334940, 29528183248759, 31522103748131, 33646830718118, 35910702924323, 38322574314080, 40891847998849, 43628505453956, 46543145582261, 49647017974179, 52952065193399, 56470960007257, 60217153801378, 64204918473010, 68449399512392, 72966662716536, 77773754290254, 82888754197318, 88330841583395, 94120354064993, 100278862470687, 106829237620988, 113795731916814, 121204054059257, 129081461602332, 137456844867413, 146360828527030, 155825865334182, 165886350611417] For the set of patterns, {[0, 1, 0], [1, 0, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 13, 18, 26, 34, 44, 59, 75, 99, 126, 160, 202, 254, 317, 396, 492, 607, 741, 912, 1111, 1351, 1638, 1980, 2387, 2872, 3435, 4107, 4898, 5834, 6921, 8205, 9695, 11446, 13477, 15845, 18587, 21776, 25463, 29737, 34668, 40362, 46894, 54444, 63099, 73043, 84426, 97474, 112388, 129462, 148906, 171111 , 196385, 225179, 257869, 295043, 337203, 385032, 439190, 500530, 569861, 648286, 736744, 836634, 949208, 1076098, 1218857, 1379517, 1560086, 1763007, 1990718, 2246281, 2532679, 2853727, 3213060, 3615251, 4064962, 4567675, 5129061 , 5755932, 6455157, 7235002, 8103897, 9071930, 10149390, 11348470, 12681652, 14163693, 15810001, 17638302, 19667053, 21917867, 24413238, 27179093, 30242563, 33634855, 37388822, 41542091, 46134129, 51209994, 56817457, 63010457, 69846149, 77389453, 85708979, 94882191, 104991262, 116128775, 128393243, 141895105, 156751826, 173094923, 191065037, 210818832, 232523224, 256364697, 282542300, 311277283, 342806320, 377391728, 415314574, 456886069, 502439130, 552342061, 606989734, 666817648, 732292347, 803928744, 882278781, 967949602, 1061592801, 1163924068, 1275712279, 1397800890, 1531094864, 1676586652, 1835342051, 2008528129, 2197397223, 2403319977, 2627768676, 2872350875, 3138794404, 3428984247, 3744946018, 4088888755, 4463184160, 4870417123, 5313365446, 5795051194, 6318721310, 6887906862, 7506402808, 8178331688, 8908121978, 9700582646, 10560879466, 11494618480, 12507819566, 13607009529, 14799200930, 16091989455, 17493532904, 19012664450, 20658869750, 22442412434, 24374311811, 26466485079, 28731725799, 31183861337, 33837731763, 36709366461, 39815972015, 43176121186, 46809741568, 50738336730, 54984976547, 59574540754, 64533714770, 69891262323, 75678033042, 81927263172, 88674588829, 95958384164, 103819791134, 112303092355, 121455747919, 131328823687, 141977041840, 153459251621, 165838502558, 179182570967, 193564059794, 209060984037, 225756889270, 243741513206, 263110943566, 283968349715, 306424167125, 330596928967, 356613497608, 384609981755, 414732022369, 447135816989, 481988469031, 519469136561, 559769434399, 603094730711, 649664635350, 699714437548, 753495678332, 811277773186, 873348696668, 940016777815, 1011611507202, 1088485556114, 1171015724045, 1259605201189, 1354684653403, 1456714763906, 1566187524376, 1683629059277, 1809601111396, 1944704221887, 2089579463925, 2244911986701, 2411433016283, 2589923833064, 2781218088049, 2986206258544, 3205838293034, 3441128608772, 3693159171987, 3963085061336, 4252137988939, 4561632554739, 4892970304220, 5247646708008, 5627255793351, 6033497977724, 6468185377524, 6933250581724, 7430752689482, 7962887124378, 8531992587359, 9140562004138, 9791250422475, 10486887306409, 11230485535499, 12025255150566, 12874613572515, 13782200999129, 14751892057238, 15787813002690, 16894354931366, 18076193021624, 19338301595093, 20685975617577, 22124847692967, 23660912181493, 25300544484560, 27050527978539, 28918075835788, 30910861128409, 33037041575948, 35305293193550, 37724838209883, 40305482693749, 43057648158691, 45992413603087, 49121551101535, 52457572850581, 56013771382987, 59804272057737, 63844078402080, 68149130744641, 72736357380155, 77623740066048, 82830371528588, 88376528646092, 94283737273340, 100574853931483, 107274138629275, 114407346086614, 122001807737490, 130086533464304, 138692303717436, 147851783067730, 157599623708963, 167972592207843, 179009685564108, 190752272612856, 203244224435007, 216532071963718, 230665152152165, 245695783776279] For the set of patterns, {[0, 1, 0], [1, 0, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 14, 19, 27, 35, 47, 62, 81, 104, 136, 172, 220, 275, 347, 433, 542, 667, 825, 1012, 1243, 1511, 1844, 2233, 2704, 3255, 3918, 4694, 5623, 6704, 7993, 9494, 11266, 13323, 15749, 18560, 21849, 25662, 30103, 35245, 41215 , 48098, 56067, 65249, 75842, 88013, 102022, 118096, 136539, 157655, 181837, 209472, 241046, 277045, 318096, 364852, 418032, 478480, 547132, 625056, 713374, 813440, 926679, 1054790, 1199536, 1363019, 1547449, 1755482, 1989802, 2253702, 2550581, 2884481, 3259573, 3680864, 4153530, 4683764, 5277879, 5943482, 6688413 , 7522028, 8453860, 9495329, 10658266, 11956589, 13404704, 15019619, 16818959, 18823436, 21054513, 23537318, 26298099, 29367326, 32776829, 36563476, 40766067, 45429156, 50599622, 56331312, 62681023, 69713722, 77497947, 86111748, 95638051, 106170768, 117809559, 130667132, 144863612, 160534157, 177822818, 196891498, 217913195, 241081492, 266603532, 294710461, 325650397, 359699218, 397152922, 438340406, 483615241, 533368931, 588022596, 648041760, 713927956, 786234289, 865556809, 952551719, 1047927105, 1152461202, 1266993321, 1392445043, 1529811401, 1680182564, 1844735814, 2024759611, 2221646345, 2436917464, 2672216865, 2929339170, 3210224656, 3516988549, 3851916934, 4217500173, 4616431295, 5051639637, 5526292621, 6043833336, 6607984763, 7222790320, 7892620951, 8622220397, 9416717328, 10281672673, 11223096950, 12247503426, 13361932137, 14574005596, 15891960047, 17324709076, 18881882629, 20573895743, 22411996769, 24408344190, 26576068878, 28929355145, 31483515399, 34255083810, 37261906619, 40523242831, 44059872232, 47894211137, 52050440159, 56554630804, 61434897409, 66721540340, 72447227112, 78647148950, 85359231323, 92624316606, 100486408966, 108992876093, 118194734714, 128146882387, 138908430035, 150542960025, 163118910618, 176709872285, 191395034080, 207259516895, 224394882724, 242899523505, 262879247011, 284447712113, 307727103386, 332848633612, 359953316540, 389192536136, 420728928465, 454737041091, 491404341506, 530931964861, 573535861372, 619447662503, 668915991889, 722207444317, 779608081190, 841424559936, 907985833706, 979644441701, 1056778435474, 1139792866641, 1229121978345, 1325230898538, 1428618122964, 1539817467488, 1659400886924, 1787980694868, 1926212756341, 2074799046462, 2234491261954, 2406093739090, 2590467537201, 2788533788292, 3001278325717, 3229755492495, 3475093371037, 3738498155431, 4021260061564, 4324758303280, 4650467766647, 4999964710528, 5374934298916, 5777177089375, 6208617536202, 6671311398615, 7167455345175, 7699395374021, 8269637635321, 8880858052205, 9535914522850, 10237857844770, 10989945467640, 11795653941777, 12658694422970, 13583026795466, 14572877134749, 15632753774954, 16767466987177, 17982147195773, 19282267116469, 20673662470426, 22162556907137, 23755585451441, 25459822559106, 27282808721487, 29232582030186, 31317708281919, 33547316473857, 35931132926985, 38479521203976, 41203520683549, 44114891421019, 47226157819269, 50550659064789, 54102598427133, 57897099937395, 61950264124468, 66279231686727, 70902246393272, 75838726573558, 81109336151434, 86736064940298, 92742308703826, 99152959284485, 105994494924449, 113295081437810, 121084673910297, 129395130217378, 138260325652344, 147716280258338, 157801287821107, 168556058661403, 180023864850305, 192250700351238, 205285444262169, 219180040319213, 233989680517310, 249773006288200, 266592314772798, 284513784217624, 303607705776014, 323948735989009, 345616156985443, 368694159234257, 393272133652026, 419444988224915, 447313475633800] For the set of patterns, {[0, 1, 0], [1, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 10, 13, 19, 26, 33, 44, 60, 77, 98, 126, 161, 203, 256, 319, 398, 494, 608, 745, 917, 1119, 1357, 1645, 1990, 2398, 2881, 3449, 4127, 4927, 5857, 6948, 8240, 9741, 11487, 13528, 15908, 18667, 21863, 25561, 29851, 34805, 40499, 47062, 54639, 63328, 73286, 84710, 97804, 112775, 129873, 149374, 171637 , 197006, 225836, 258610, 295890, 338180, 386086, 440370, 501850, 571374, 649910, 738562, 838643, 951491, 1078544, 1221557, 1382532, 1563463, 1766636, 1994724, 2250656, 2537572, 2858974, 3218787, 3621486, 4071850, 4575048, 5137052 , 5764564, 6464618, 7245043, 8114756, 9083549, 10161986, 11361738, 12695806, 14178715, 15826108, 17655030, 19684668, 21936309, 24432705, 27198953, 30263082, 33655797, 37410432, 41563553, 46155505, 51230861, 56837989, 63029447, 69863533, 77404490, 85721582, 94890557, 104995074, 116126699, 128384791, 141877735, 156724436, 173055443, 191012353, 210748884, 232434018, 256252810, 282405336, 311109427, 342603872, 377149039, 415027278, 456545631, 502039157, 551873612, 606445464, 666184540, 731560139, 803083670, 881308372, 966834632, 1060316797, 1162465899, 1274052050, 1395910206, 1528947707, 1674150803, 1832586961, 2005411252, 2193878742, 2399351931, 2623303156, 2867325943, 3133149678, 3422648011, 3737846142, 4080934242, 4454284693, 4860466909, 5302256460, 5782650843, 6304895363, 6872501312, 7489257239, 8159253903, 8886915558, 9677022254, 10534730739, 11465605017, 12475654165, 13571367373, 14759740959, 16048315415, 17445229811, 18959266198, 20599883661, 22377272898, 24302424251, 26387183249, 28644303729, 31087516776, 33731614943, 36592532923, 39687416609, 43034709439, 46654268668, 50567468757, 54797290153, 59368440552, 64307501829, 69643061025, 75405838747, 81628844117, 88347559029, 95600119643, 103427484347, 111873629764, 120985798622, 130814733892, 141414895129, 152844725123, 165166965484, 178448955413, 192762929698, 208186361746, 224802361988, 242700080282, 261975093929, 282729844727, 305074166021, 329125800216, 355010898915, 382864605456, 412831727524, 445067397337, 479737742568, 517020636081, 557106547724, 600199416683, 646517520795, 696294433459, 749780134922, 807242133565, 868966582558, 935259534662, 1006448360977, 1082883181427, 1164938334193, 1253013985590, 1347537930897, 1448967458079, 1557791240486, 1674531389958, 1799745785078, 1934030457262, 2078022011806, 2232400292190, 2397891346194, 2575270462547, 2765365315796, 2969059374170, 3187295659387, 3421080662996, 3671488377313, 3939664631139, 4226831911051, 4534294356176, 4863442896761, 5215760828149, 5592829934658, 5996336830676, 6428079569916, 6889974743592, 7384065229561, 7912528307470, 8477684083308, 9082004491457, 9728123171641, 10418845776103, 11157160661409, 11946250378205, 12789504178480, 13690531057406, 14653173395708, 15681521532010, 16779929548684, 17953031852380, 19205760478207, 20543363508297, 21971425081431, 23495886361804, 25123067413675, 26859690567262, 28712905664941, 30690316501201, 32800008557797, 35050578513375, 37451166009759, 40011487082717, 42741869178195, 45653288315049, 48757409154621, 52066627110485, 55594112435645, 59353857115282, 63360725241978, 67630505924401, 72179968880448, 77026923415864, 82190281611303, 87690124891235, 93547773904618, 99785862534201, 106428417249214, 113500940623601, 121030498975683, 129045815322868, 137577368782677, 146657499133036, 156320516797877, 166602819301090, 177543015536754, 189182056747208, 201563374218696, 214733024884587, 228739846754175, 243635622625039] For the set of patterns, {[0, 1, 1], [1, 0, 0], [1, 0, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 13, 18, 22, 33, 42, 56, 69, 92, 115, 152, 184, 237, 289, 365, 443, 559, 675, 833, 1001, 1229, 1470, 1793, 2137, 2590, 3071, 3690, 4360, 5218, 6142, 7308, 8586, 10170, 11894, 14026, 16364, 19218, 22355, 26149, 30344, 35402, 40963, 47604, 54960, 63699, 73356, 84766, 97413, 112279, 128744, 148019, 169408, 194321, 221920, 253960, 289538, 330653, 376246, 428802, 487125, 554105, 628404, 713507, 807905, 915707, 1035211, 1171351, 1322304, 1493806, 1683825, 1899291, 2137960, 2407941, 2706870, 3044391, 3417935, 3838794, 4304317, 4827914 , 5406877, 6056880, 6775126, 7580278, 8469531, 9464675, 10563197, 11790853, 13145328, 14656626, 16323017, 18180036, 20226573, 22504012, 25012376, 27800559, 30869739, 34276780, 38025090, 42181628, 46751853, 51813891, 57376637, 63531674, 70291633, 77763313, 85964795, 95021165, 104956470, 115916378, 127933465, 141178171, 155692081, 171673805, 189177719, 208435669, 229516323, 252689500, 278042399, 305889678, 336339892, 369759068, 406283174, 446338594, 490092143, 538039552, 590387347, 647712012, 710265307, 778717049, 853375193, 935018234, 1024018959, 1121280896, 1227256696, 1342995205, 1469040956, 1606610541, 1756360760, 1919702183, 2097421271, 2291153012, 2501839702, 2731375658, 2980884340, 3252558762, 3547739475, 3868964779, 4217825596, 4597258774, 5009154669, 5456908676, 5942756063, 6470622287, 7043152483, 7664880923, 8338926754, 9070526355, 9863358328, 10723465598, 11655171403, 12665449813, 13759383818, 14945013086, 16228296614, 17618504239, 19122620831, 20751323414, 22512781394, 24419292964, 26480408287, 28710281233, 31120053835, 33726014533, 36541158829, 39584213862, 42870309729, 46420977922, 50253823519, 54393581092, 58860706192, 63683610563, 68886046171, 74500622666, 80554882598, 87086249510, 94126645067, 101718981694, 109900208318, 118719527526, 128219679786, 138457037394, 149480988654, 161356108225, 174139427916, 187904866074, 202718214784, 218664071931, 235818288862, 254277618599, 274129426250, 295484346947, 318442941061, 343131630887, 369666072757, 398190694899, 428838426839, 461774165664, 497150571554, 535155862261, 575965249934, 619793443568, 666841387199, 717353943676, 771561424885, 829742918782, 892162219149, 959137330667, 1030970207047, 1108023000774, 1190641117493, 1279236862472, 1374205115796, 1476015026012, 1585117748449, 1702046952585, 1827317791514, 1961537011909, 2105292498500, 2259273865089, 2424151603964, 2600709126892, 2789710715422, 2992046047452, 3208585833139, 3440339940420, 3688299789571, 3953611303612, 4237402728528, 4540973764973, 4865607714369, 5212778201285, 5583944104983, 5980775493472, 6404930029300, 6858299767772, 7342767271058, 7860475149943, 8413560345097, 9004448386789, 9635563740570, 10309651040795, 11029459697746, 11798094365913, 12618671415588, 13494701300944, 14429714745973, 15427679679319, 16492594362663, 17628942011705, 18841248346080, 20134577061032, 21514048544240, 22985379871538, 24554361783061, 26227446834612, 28011180907557, 29912843875035, 31939832165807, 34100356244059, 36402769934079, 38856329785768, 41470467112177, 44255614296940, 47222414573717, 50382621203894, 53748240330349, 57332508890803, 61148964797498, 65212510618733, 69538405564621, 74143421829907, 79044751805686, 84261265221291, 89812325229165, 95719154416919, 102003552151436, 108689379009210, 115801168015038, 123365736892277, 131410684427163, 139966141792313, 149063145421972, 158735538359802, 169018209713325, 179949159044732] For the set of patterns, {[0, 1, 1], [1, 0, 0], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 12, 19, 23, 33, 41, 57, 69, 95, 117, 154, 185, 241, 293, 375, 453, 570, 687, 856, 1020, 1265, 1506, 1850, 2191, 2670, 3155, 3813, 4492, 5398, 6344, 7582, 8873, 10553, 12323, 14581, 16976, 20009, 23237, 27281, 31600, 36963, 42717, 49790, 57403, 66705, 76747, 88894, 102070, 117917, 135118, 155669 , 178026, 204610, 233568, 267797, 305140, 349102, 397112, 453341, 514826, 586579, 665048, 756266, 856133, 971791, 1098484, 1244675, 1404899, 1589260, 1791352, 2023123, 2277341, 2568082, 2886978, 3250706, 3649747, 4103798, 4601913 , 5167335, 5787615, 6490216, 7260915, 8131930, 9087455, 10165197, 11347206, 12677868, 14137069, 15776883, 17574649, 19591424, 21802021, 24277904, 26990996, 30024701, 33348401, 37059341, 41123655, 45655024, 50616491, 56140437, 62186673, 68909492, 76265607, 84434687, 93369980, 103280644, 114117321, 126122943, 139245164, 153766666, 169633258, 187172615, 206329389, 227483634, 250579956, 276059202, 303866433, 334513028, 367947073, 404760583, 444906287, 489070056, 537212936, 590127527, 647786906, 711107676, 780079292, 855761151, 938163842, 1028511599, 1126844475, 1234575089, 1351780305, 1480091222, 1619632225, 1772284094, 1938231017, 2119642092, 2316776023, 2532132552, 2766062417, 3021445480, 3298747738, 3601283725, 3929658412, 4287688695, 4676149044, 5099429719, 5558511060, 6058442933, 6600454274, 7190349770, 7829656369, 8525045010, 9278402020, 10097388270, 10984316730, 11947986909, 12991220404, 14124115359, 15350099719, 16680760108, 18120242227, 19681833809, 21370528442, 23201561872, 25180930402, 27326092426, 29644222608, 32155325814, 34867962241, 37805038897, 40976744060, 44409303706, 48114810093, 52123276552, 56449021834, 61126383168, 66172283605, 71625985270, 77507447202, 83861556696, 90711806041, 98109486396, 106082202806, 114688551958, 123960910802, 133966194481, 144742316959, 156365669362, 168880586377, 182374236483, 196898384559, 212552476219, 229396864526, 247544948743, 267067009322, 288092321140, 310702612644, 335045201994, 361215018406, 389379887639, 419649945108, 452216301194, 487206587774, 524838376106, 565259407577, 608717272876, 655382827455, 705537737222, 759379376204, 817228061883, 879311583446, 945994099261, 1017538252804, 1094357888093, 1176755560416, 1265201439679, 1360043743719, 1461816425418, 1570919938196, 1687960479355, 1813398165297, 1947920979411, 2092057167275, 2246587282275, 2412117308010, 2589532504436, 2779527505662, 2983106017806, 3201063685678, 3434538095251, 3684439959021, 3952058189743, 4238434438250, 4545028585810, 4873031239279, 5224095382729, 5599580958659, 6001358952131, 6430981707819, 6890566310420, 7381883548690, 7907328155875, 8468918873823, 9069363631362, 9710962378730, 10396776191233, 11129423851057, 11912364510017, 12748578210465, 13641972651062, 14595937007507, 15614884326575, 16702666842743, 17864266660262, 19104059962885, 20427669503482, 21840063901868, 23347586905067, 24955876792103, 26672088476658, 28502616760451, 30455528860324, 32538073869660, 34759344833828, 37127555019629, 39652950459744, 42344832285506, 45214742119523, 48273207780490, 51533226266739, 55006708154640, 58708284799610, 62651424719222, 66852594015503, 71327015853070, 76093215516832, 81168391410995, 86573379059951, 92327599729955, 98454480171722, 104975941883022 , 111918317149404, 119306338768820, 127169595975253, 135535981282952, 144438733661687, 153909295662017, 163984995085571, 174701261332405, 186100001465490, 198221120869130, 211111653732440] For the set of patterns, {[0, 1, 1], [1, 0, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 13, 19, 23, 32, 42, 59, 71, 95, 118, 155, 189, 244, 300, 381, 460, 577, 699, 869, 1040, 1285, 1538, 1878, 2234, 2714, 3221, 3878, 4583, 5495, 6479, 7719, 9057, 10753, 12590, 14866, 17343, 20409, 23755, 27835, 32296, 37727, 43688, 50847, 58709, 68147, 78535, 90860, 104452, 120565, 138327, 159217 , 182280, 209350, 239243, 274089, 312617, 357441, 406978, 464302, 527726, 600969, 681924, 775043, 878044, 996243, 1126922, 1276346, 1441615, 1630211, 1838663, 2075821, 2338025, 2635759, 2964677, 3337253, 3748870, 4214259, 4728099 , 5307758, 5947695, 6668425, 7463597, 8357343, 9343254, 10449709, 11669425, 13035893, 14541832, 16226586, 18082123, 20154662, 22436578, 24982084, 27782957, 30902805, 34334545, 38152433, 42349272, 47012374, 52136377, 57823152, 64068169, 70990890, 78590071, 87004969, 96236597, 106448047, 117645974, 130019944, 143581371, 158552204, 174952502, 193040122, 212843754, 234664669, 258544962, 284834688, 313589781, 345218813, 379798398, 417802320, 459329437, 504932116, 554739902, 609392872, 669054894, 734471078, 805850349, 884056088, 969347917, 1062729988, 1164527676, 1275903003, 1397256389, 1529937805, 1674441852, 1832329803, 2004205400, 2191879629, 2396090690, 2618932264, 2861297794, 3125613514, 3412963249, 3726149299, 4066475399, 4437186198, 4839851654, 5278216699, 5754160543, 6272013755, 6834026995, 7445194805, 8108197979, 8828807200, 9610217121, 10459077360, 11379177753, 12378195199, 13460624360, 14635305014, 15907551592, 17287557479, 18781602204, 20401414684, 22154394347, 24054053881, 26109106080, 28335087134, 30742232885, 33348426554, 36165681358, 39214543713, 42509089460, 46072943961, 49922582325, 54085128119, 58579834045, 63437860339, 68681684026, 74347049843, 80460162729, 87062051310, 94183233478, 101870739409, 110160070463, 119105158386, 128747257318, 139148140978, 150355698613, 162440706557, 175458702309, 189490685929, 204601003877, 220882380924, 238409292237, 257287776845, 277603963627, 299479133507, 323012793241, 348343531412, 375586222150, 404899239071, 436415075974, 470314560131, 506750397672, 545929057195, 588026377709, 633277919564, 681886028032, 734119437558, 790210790104, 850466448353, 915153716955, 984621816790, 1059177629862, 1139218958327, 1225097907848, 1317267561305, 1416131589053, 1522205705942, 1635952437548, 1757958685281, 1888754005050, 2029005917285, 2179320382370, 2340456461868, 2513107046453, 2698134796280, 2896331580195, 3108677586509, 3336077167016, 3579643441454, 3840408701818, 4119636722864, 4418505039823, 4738447741414, 5080807371657, 5447210870169, 5839187930004, 6258583358970, 6707139253324, 7186946909853, 7699989081474, 8248635362544, 8835141373910, 9462191280602, 10132349580863, 10848655405929, 11614023105814, 12431892716313, 13305574265199, 14238959877647, 15235807320095, 16300518917797, 17437358363836, 18651302965817, 19947188395079, 21330640312797, 22807140164316, 24383043848754, 26064562204196, 27858873930912, 29773012699253, 31815083328708, 33993048043215, 36316054421308, 38793111325332, 41434539299029, 44250527329568, 47252715657191, 50452622446163, 53863371508662, 57497978417514, 61371234972407, 65497842009348, 69894465241932, 74577702522444, 79566324990123, 84879063860315, 90537054168641, 96561426675255, 102975970516216, 109804512985903, 117073821335978, 124810753466601, 133045418135217, 141808076526442, 151132584503901, 161053025299399, 171607456392514, 182834249989901, 194776172367947, 207476408932400, 220983002480133] For the set of patterns, {[0, 1, 1], [1, 0, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 20, 27, 39, 50, 68, 88, 117, 151, 196, 248, 319, 401, 510, 638, 801, 992, 1234, 1519, 1876, 2296, 2818, 3426, 4178, 5056, 6125, 7379, 8893, 10669, 12801, 15287, 18255, 21720, 25838, 30627, 36293, 42874, 50627, 59624, 70170, 82379, 96654, 113148, 132366, 154534, 180282, 209928, 244270, 283750, 329346, 381675, 441974, 511049, 590481, 681310, 785510, 904501, 1040723 , 1196034, 1373492, 1575494, 1805887, 2067769, 2365930, 2704337, 3088980, 3524957, 4019669, 4579681, 5214159, 5931409, 6742869, 7658987, 8693968, 9861026 , 11177680, 12660551, 14331318, 16210819, 18325764, 20702209, 23373104, 26370895, 29736208, 33509304, 37740039, 42478507, 47785862, 53724046, 60368067, 67794332, 76094696, 85363329, 95712496, 107257933, 120136749, 134491019, 150487813, 168301303, 188134762, 210201093, 234747717, 262034398, 292361636, 326045971, 363451833, 404964379, 451025132, 502101948, 558728892, 621473632, 690981569, 767940001, 853128188, 947377174, 1051626373, 1166879724, 1294268275, 1435002907, 1590444191, 1762050383, 1951456265, 2160416206, 2390892213, 2644991806, 2925067231, 3233647663, 3573549805, 3947805381, 4359783660, 4813113899, 5311823206, 5860251123, 6463205232, 7125869149, 7853976349, 8653712013, 9531907245, 10495934253, 11553923546, 12714653415, 13987792105, 15383780550, 16914105320, 18591172681, 20428615718, 22441162710, 24644979218, 27057532548, 29697974816, 32587001749, 35747283440, 39203318651, 42981917929, 47112054791, 51625409379, 56556217600, 61941880735, 67822818120, 74243148690, 81250548958, 88897020978, 97238753906, 106336990168, 116257897839, 127073542853 , 138861780392, 151707347365, 165701775978, 180944622947, 197543415379, 215615033632, 235285694911, 256692514453, 279983534364, 305319485900, 332873881982, 362834998506, 395406047568, 430807412160, 469276912428, 511072328688, 556471783075, 605776586485, 659311759646, 717429251424, 780508624665, 848960691594, 923228405669, 1003790962813, 1091164937969, 1185908925219, 1288624952966, 1399963736552, 1520626431335, 1651370572029, 1793012229241, 1946432728170, 2112581275834, 2292482564698, 2487239958668, 2698044097012, 2926176727095, 3173020457611, 3440063339129, 3728909917284, 4041286702478, 4379054680326, 4744215822221, 5138927259076, 5565508988199, 6026459942726, 6524467090371, 7062423646627, 7643439785473, 8270863295999, 8948292156231, 9679597951079, 10468940618244, 11320794986882, 12239968029437, 13231628963011, 14301329366105, 15455037325721, 16699160873283, 18040586703364, 19486707437976, 21045465535275, 22725384943887, 24535620899510, 26485996636871, 28587059856101, 30850125224453, 33287338430885, 35911725311109, 38737264498344, 41778944170554, 45052844406104, 48576202666666, 52367507177244, 56446572374687, 60834644789689, 65554489891602, 70630512124404, 76088854768968, 81957536028932, 88266563743026, 95048089624714, 102336540959984, 110168795368582, 118584331855470, 127625428851053, 137337337264979, 147768504880977, 158970774492886, 170999638079657, 183914463505801, 197778782392679, 212660549282367, 228632467614039, 245772285821715, 264163166382259, 283894023839960, 305059942589038, 327762562476544, 352110551643102, 378220046193524, 406215185164821, 436228611541331, 468402077448832, 502887014660393, 539845219114984, 579449500188529, 621884454732032, 667347205563965, 716048276576430, 768212432229985, 824079666647401, 883906157489716, 947965383576167, 1016549208133500, 1089969141451153, 1168557570310885, 1252669184167816, 1342682369869618, 1439000822073405, 1542055124730324, 1652304569116254, 1770238946197822, 1896380598532903, 2031286450750087, 2175550324786674, 2329805239006237, 2494726020029150] For the set of patterns, {[0, 1, 1], [1, 0, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 15, 21, 28, 39, 52, 70, 92, 121, 158, 204, 260, 333, 421, 534, 669, 839, 1045, 1297, 1603, 1976, 2427, 2973, 3626, 4415, 5356, 6484, 7829 , 9431, 11333, 13590, 16257, 19412, 23128, 27506, 32647, 38685, 45756, 54026, 63688, 74960, 88086, 103360, 121102, 141694, 165555, 193169, 225103, 261980, 304526, 353541, 409970, 474859, 549394, 634935, 733011, 845344, 973912, 1120880 , 1288791, 1480417, 1698948, 1947935, 2231416, 2553890, 2920450, 3336755, 3809283, 4345129, 4952445, 5640155, 6418460, 7298611, 8293311, 9416643, 10684531, 12114513, 13726449, 15542173, 17586404, 19886289, 22472465, 25378681, 28642866, 32306834, 36417456, 41026369, 46191533, 51976597, 58452941, 65699034, 73802604, 82860166, 92979374, 104278713, 116890202, 130958954, 146646570, 164130551, 183608423, 205296980, 229437060, 256293266, 286158931, 319356251, 356242086, 397208144, 442688051, 493157345, 549141977, 611218692, 680024595, 756258129, 840689863, 934164570, 1037613356, 1152056223, 1278616931, 1418525745 , 1573137003, 1743932880, 1932543290, 2140751942, 2370518418, 2623986181, 2903508531, 3211658379, 3551258729, 3925394163, 4337447053, 4791111953, 5290436687, 5839841416, 6444165139, 7108690174, 7839195937, 8641987643, 9523960543, 10492633875, 11556225283, 12723692556, 14004819220, 15410266601, 16951671213, 18641708551, 20494206222, 22524219750, 24748165083, 27183907402, 29850916323, 32770372758, 35965346324, 39460925295, 43284420919, 47465522623, 52036534824, 57032559934, 62491775015, 68455647114, 74969254099, 82081539754, 89845684283, 98319408624, 107565399581, 117651670628, 128652055620, 140646630596, 153722287830, 167973229592, 183501633604, 200418234319, 218843089149, 238906263440, 260748714969, 284523097470, 310394782381, 338542796815, 369161009740, 402459223504, 438664545216, 478022663178, 520799427246, 567282342170, 617782387349, 672635757818, 732205968243, 796885874576, 867100104527, 943307405273, 1026003450152, 1115723565657, 1213045962507, 1318594908042, 1433044445276, 1557122073706, 1691613035119, 1837364572756, 1995290876784, 2166378008639, 2351689593903, 2552372524346, 2769663504728, 3004895649424, 3259506006287, 3535043181198, 3833175993045, 4155702266908, 4504558790451, 4881831449843, 5289766674769, 5730783125126, 6207484822516, 6722674628283, 7279369312753, 7880815069949, 8530504815073, 9232196027083, 9989930602199, 10808055359967, 11691244807912, 12644524713286, 13673298185787, 14783372760537, 15980990264826, 17272857912154, 18666182514634, 20168706133234, 21788745256642, 23535231669203, 25417757281398, 27446620968869, 29632879829082, 31988402846416, 34525929485181, 37259131119286, 40202677998263, 43372309520234, 46784910752741, 50458592771925, 54412780042378, 58668302263218, 63247494081808, 68174300043047, 73474388341344, 79175270664997, 85306431949421, 91899467131459, 98988229093427, 106608984669723, 114800583245167, 123604634655119, 133065701215701, 143231500529775, 154153124126890, 165885268513847, 178486484058565, 192019438078252, 206551198058341, 222153531092872, 238903226000960, 256882434066802, 276179035228235, 296887025629463, 319106933773838, 342946261123057, 368519954892925, 395950908695947, 425370499506649, 456919156332302, 490746969787958, 527014337819733, 565892657394500, 607565057468538, 652227183597147, 700088029514887, 751370826895084, 806313988432800, 865172116475209, 928217072154032, 995739118307468, 1068048131135322, 1145474894781346, 1228372473986076, 1317117679957230, 1412112624808692, 1513786380881634, 1622596740286704, 1739032092578626, 1863613415826812, 1996896400537147, 2139473701968657, 2291977341727562, 2455081254733251, 2629504003903057, 2816011659182083] For the set of patterns, {[0, 1, 1], [1, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 21, 28, 39, 52, 71, 91, 122, 157, 207, 261, 338, 425, 544, 680, 857, 1063, 1332, 1639, 2035, 2492, 3071, 3739, 4578, 5546, 6749, 8140 , 9847, 11828, 14241, 17030, 20407, 24317, 29022, 34454, 40952, 48453, 57388, 67687, 79883, 93936, 110515, 129580, 151990, 177739, 207876, 242460, 282812, 329066, 382860, 444424, 515813, 597432, 691834, 799577, 923876, 1065593, 1228679, 1414380, 1627593, 1870056, 2147864, 2463380, 2824150, 3233399, 3700452 , 4229584, 4832362, 5514505, 6290192, 7166961, 8162323, 9286124, 10559944, 11996467, 13622236, 15453715, 17523507, 19852592, 22481058, 25435742, 28765730, 32505124, 36714077, 41435729, 46743677, 52692273, 59371486, 66849719, 75236740, 84618014, 95127635, 106872403, 120015521, 134689879, 151094196, 169393526, 189829511, 212606394, 238017594, 266315675, 297856605, 332951425, 372031818, 415480316, 463819428, 517518605, 577210076, 643468734, 717058468, 798681849, 889261085, 989653833, 1100971918, 1224259494, 1360856395, 1512032429, 1679399908, 1864500066, 2069271589, 2295582352, 2545761261, 2822068433, 3127298470, 3464182702, 3836071201, 4246259109, 4698759550, 5197542905, 5747410721, 6353140241, 7020472121, 7755147239, 8564022120, 9453985927, 10433220646, 11509984889, 12694033252, 13995251849, 15425260693, 16995881845, 18720943872, 20614567291, 22693195456, 24973675133, 27475541862, 30218872588, 33226857052, 36523397588, 40135997244, 44093080672, 48427241774, 53172250927, 58366700130, 64050669500, 70269817816, 77071668479, 84510197313, 92641697316, 101529925076, 111241502215, 121851678994, 133439224932, 146092888956, 159905721910, 174982309146, 191432474898, 209379376253, 228952521972, 250296828270, 273564885224, 298927087720, 326563075351, 356673051928, 389468321918, 425183947580, 464068285085, 506397122495, 552462130837, 602586654177, 657112968233, 716419909108, 780908827764, 851023269171, 927233506359, 1010058490821, 1100048840107, 1197811330318, 1303990184501, 1419294386033, 1544477135104, 1680366301736, 1827841879056, 1987869927805, 2161477858918, 2349792269446, 2554011874436, 2775449648734, 3015503218888, 3275701818772, 3557673920050, 3863199525529, 4194174836497, 4552670483271, 4940892989280, 5361249605443, 5816306328380, 6308860081732, 6841893037205, 7418652940081, 8042603480575, 8717513702656, 9447404122255, 10236646211368, 11089904011924, 12012244828695, 13009076028915, 14086268188878, 15250086783140, 16507329193563, 17865250998480, 19331718352359, 20915128585318, 22624579709895, 24469785010813, 26461261567455, 28610238591809, 30928867088778, 33430121651196, 36128033625012, 39037586126350, 42174973359482, 45557488640698, 49203812742423, 53133894781373, 57369272901115, 61932947865773, 66849739650710, 72146153755154, 77850777736677, 83994140261764, 90609152059020, 97730957846334, 105397426715899 , 113648997224034, 122529222700348, 132084609953552, 142365225742999, 153424529653266, 165320048560268, 178113204599763, 191870065286190, 206661167621079, 222562352378670, 239654585776547, 258024887471739, 277766151567161, 298978178783341, 321767499031172, 346248519647081, 372543352153700, 400783089600782, 431107640877844, 463667151776364, 498621850760519, 536143630027514, 576415907473387, 619635385917429, 666011936896485, 715770558147645, 769151285972708, 826411373624751, 887825239972797, 953686893789226, 1024309928121506, 1100030218471998, 1181205973630987, 1268220738870218, 1361483515897180, 1461432105878619, 1568533313276145, 1683286667233333, 1806224726444891, 1937917222224999, 2078971484093099, 2230037052520614, 2391806248325089, 2565019308694323, 2750465126720328, 2948986970461063, 3161483423110059, 3388914751797763, 3632304083390485, 3892744497048933] For the set of patterns, {[1, 0, 0], [1, 0, 1], [1, 1, 0]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 12, 18, 23, 33, 40, 56, 69, 93, 115, 149, 183, 237, 288, 366, 444, 557, 670, 834, 1001, 1231, 1474, 1797, 2140, 2594, 3075, 3702, 4378, 5240, 6172, 7349, 8627, 10223, 11966, 14116, 16472, 19359, 22527, 26372, 30610, 35704, 41334, 48068, 55509, 64351, 74146, 85718, 98540, 113619, 130338, 149898, 171614, 196899, 224976, 257556, 293723, 335543, 381988, 435482, 494893, 563116, 638878, 725608, 821914, 931848, 1053881, 1192857, 1347051, 1522217, 1716528, 1936735, 2180910, 2457046, 2763088, 3108489, 3491126, 3922134, 4399365, 4935975 , 5529787, 6196328, 6933596, 7759754, 8673045, 9694912, 10823884, 12085202, 13477951, 15031731, 16746429, 18656827, 20763832, 23108256, 25692469, 28564285, 31727955, 35239632, 39105836, 43392405, 48109038, 53332703, 59077115, 65432367, 72417008, 80136557, 88615733, 97977855, 108255252, 119592203, 132030336, 145738222, 160769154, 177319790, 195457610, 215412308, 237268352, 261293884, 287594156, 316481782, 348087260, 382775080, 420705895, 462304460, 507767953, 557590952, 612014233, 671613854, 736682342, 807890259, 885592400, 970568434, 1063247337, 1164535629, 1274949871, 1395543820, 1526938158, 1670356887, 1826543685, 1996920107, 2182375045, 2384558385, 2604530720, 2844205576, 3104845800, 3388670436, 3697179190, 4032944413, 4397744443, 4794559057, 5225493434, 5693998226, 6202560859, 6755175081, 7354775957, 8005983417, 8712255074, 9478933492, 10310085001, 11211885085, 12189110414, 13248894544, 14396841191, 15641187566, 16988498350, 18448280937, 20028216648, 21739273087, 23590427315, 25594326309, 27761448736, 30106370795, 32641311747, 35383061905, 38345854770, 41549023919, 45009130070, 48748424744, 52786158043, 57147926758, 61856085907, 66940066754, 72425804287, 78347122947, 84734084711, 91625543586, 99056313205, 107071006161, 115709901795, 125024200774, 135060469013, 145877438145, 157528897820, 170082188437, 183599392042, 198157684793, 213828663924, 230700735470, 248856406514, 268396902876, 289417231284, 312033241659, 336354256436, 362512799836, 390634577172, 420871120615, 453366868180, 488295009540, 525821394681, 566143874153, 609452757417, 655973967632, 705925734727, 759565922422, 817144618863, 878956012090, 945286515383, 1016471614095, 1092839115808, 1174771433527, 1262643526539, 1356891104667, 1457942806056, 1566294853423, 1682436956261, 1806934013385, 1940345184784, 2083313273094, 2236476375089, 2400565634327, 2576308818436, 2764537200408, 2966080369185, 3181883038920, 3412890356120, 3660175516319, 3924814739313, 4208026674399, 4511036154769, 4835226425683, 5181990738544, 5552898527602, 5949533813971, 6373676562161, 6827126788581, 7311902414912, 7830047896444, 8383850019410, 8975629737693, 9607977501808, 10283526905936, 11005211224851, 11776017401210, 12599265613872, 13478341981322, 14417003167901, 15419086054481, 16488839536501, 17630609295932, 18849199130372, 20149528789960, 21537027385673, 23017262128134, 24596366524076, 26280637714831, 28077002420626, 29992580345393, 32035191116237, 34212881038568, 36534474501214, 39009061202016, 41646595768737, 44457342338881, 47452526482976, 50643733798919, 54043618513750, 57665252534473, 61522895504233, 65631290421017, 70006500346149, 74665146454026, 79625316941787, 84905743137403, 90526786612483, 96509548601758, 102876941869082 , 109652728349210, 116862682810080, 124533553302219, 132694324246706, 141375093844235, 150608444858318, 160428232783126, 170871073175825, 181975033993411, 193781249077937] For the set of patterns, {[1, 0, 0], [1, 0, 1], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 13, 18, 23, 33, 41, 57, 71, 92, 118, 152, 187, 240, 295, 371, 453, 567, 687, 848, 1026, 1252, 1510, 1832, 2191, 2647, 3154, 3780, 4488, 5354, 6330, 7514, 8853, 10460, 12283, 14458, 16912, 19838, 23143, 27032, 31452, 36633, 42492, 49339, 57081, 66094, 76279, 88080, 101410, 116804, 134192, 154173 , 176744, 202629, 231785, 265161, 302733, 345609, 393842, 448733, 510437, 580503, 659186, 748319, 848317, 961439, 1088132, 1231193, 1391331, 1571754, 1773564, 2000526, 2254137, 2538946, 2856828, 3213294, 3610763, 4055881, 4551663 , 5106055, 5723145, 6412144, 7178343, 8032825, 8982085, 10039544, 11213178, 12519007, 13967147, 15576536, 17359750, 19339341, 21531030, 23961478, 26649951, 29628517, 32920516, 36564150, 40588094, 45037449, 49947621, 55371907, 61353178, 67955039, 75229368, 83251559, 92084211, 101816989, 112525392, 124315260, 137278069, 151538600, 167207088, 184431202, 203342484, 224116261, 246909843, 271929810, 299364564, 329457796, 362434531, 398581546, 438167341, 481529771, 528987915, 580940087, 637764343, 699929888, 767885613, 842181593, 923350625, 1012038665, 1108875617, 1214619808, 1330014955, 1455951203, 1593305354, 1743120790, 1906430708, 2084456497, 2278416042, 2489736141, 2719849695, 2970426246, 3243146620, 3539962955, 3862846430, 4214076633, 4595964319, 5011167556, 5462393398, 5952739680, 6485374047, 7063904342, 7692031284, 8373958593, 9114003263, 9917056514, 10788155449, 11732983901, 12757414696, 13868048567, 15071724281, 16376106548, 17789149485, 19319746579, 20977141990, 22771649577, 24714004849, 26816154618, 29090563222, 31551059324, 34212098047, 37089681571, 40200556075, 43563230977, 47197092688, 51123530133, 55364976209, 59946131115, 64892933297, 70233886046, 75998962057, 82221038555, 88934715401, 96177897949, 103990500557, 112416195205, 121501004118, 131295201393, 141851823129, 153228715501, 165486945844, 178693039193, 192917265073, 208236089272, 224730313521, 242487776367, 261601344061, 282171852134, 304305973906, 328119395864, 353734572584, 381284174227, 410908668108, 442760120620, 476999579692, 513801238947, 553349640015, 595844209049, 641496299257, 690534102271, 743199533426, 799753571760, 860472950778, 925656010962, 995619131544, 1070703173295, 1151269679638, 1237707874105, 1330430690677, 1429882362893, 1536534266717, 1650893184042, 1773496906186, 1904923294675, 2045785606908, 2196742429148, 2358492731034, 2531786711892, 2717420674029, 2916248762735, 3129177687400, 3357179524324, 3601286178640, 3862603434559, 4142305117696, 4441648509740, 4761968283407, 5104693300887, 5471340415106, 5863532748437, 6282993411706, 6731565403753, 7211205186435, 7724004539536, 8272183887756, 8858116296683, 9484320686405, 10153488026119, 10868474635766, 11632330679727, 12448293608042, 13319819306890, 14250575619018, 15244476496215, 16305675590950, 17438603788962, 18647962988670, 19938767142262, 21316336577145, 22786342733277, 24354803197139, 26028130603192, 27813128307954, 29717044154396, 31747566816732, 33912884827112, 36221683950257, 38683211841636, 41307276856370, 44104318680445, 47085408969110, 50262328666167, 53647570524633, 57254424079001, 61096980149899, 65190224345253, 69550044104056, 74193331139872, 79137991876840, 84403059599959, 90008708755283, 95976377921711, 102328788362238 , 109090079255752, 116285830870222, 123943213348513, 132091015402362, 140759807710954, 149981978425903, 159791912191469, 170226033595994, 181323003775060, 193123772328575, 205671793729406] For the set of patterns, {[1, 0, 0], [1, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 6, 10, 12, 19, 24, 32, 41, 58, 71, 95, 118, 154, 189, 244, 297, 379, 461, 576, 699, 869, 1041, 1283, 1538, 1879, 2239, 2717, 3224, 3889, 4602, 5508, 6497, 7749, 9100, 10794, 12649, 14936, 17446, 20522, 23896, 28009, 32531, 37983, 44008, 51234, 59196, 68699, 79214, 91661, 105449, 121698, 139694, 160828 , 184237, 211571, 241910, 277200, 316319, 361678, 412006, 470113, 534589, 608811, 691136, 785652, 890464, 1010394, 1143447, 1295291, 1463593, 1655255, 1867683, 2108944, 2376266, 2679201, 3014713, 3394190, 3814259, 4288340, 4813019 , 5404082, 6057747, 6792895, 7605584, 8517899, 9525994, 10655847, 11903623, 13300046, 14841323, 16563587, 18463686, 20583915, 22921541, 25526660, 28397442, 31592400, 35111294, 39022742, 43328294, 48108685, 53367686, 59199837, 65612673, 72716582, 80523136, 89162104, 98650423, 109139530, 120653633, 133369796, 147320783, 162713924, 179592471, 198198450, 218589449, 241047324, 265646037, 292715386, 322349513, 354932614, 390584259, 429752196, 472586261, 519608661, 571005547, 627384880, 688978465, 756493059, 830213647, 910963927, 999092907, 1095557683, 1200785361, 1315888051, 1441385191, 1578569540, 1728069628, 1891386757, 2069281892, 2263496391, 2474945999, 2705653004, 2956716887, 3230481636, 3528266193, 3852786770, 4205619817, 4589913593, 5007546511, 5462164728, 5956005982, 6493288803, 7076670357, 7711034136, 8399529461, 9147802340, 9959581869, 10841393774, 11797643466, 12835872685, 13961275286, 15182561573, 16505851985, 17941197993, 19495796520, 21181249090, 23006005806, 24983445236, 27123480047, 29441531649, 31949210262, 34664287528, 37600342195, 40777842831, 44212659676, 47928351774, 51943439348, 56285037663, 60974733503, 66043712291, 71517115472, 77430793298, 83813993128, 90707914086, 98146540553, 106177195405, 114839339684, 124187298776, 134266840394, 145140315924, 156860756203, 169499680443, 183118491063, 197799185906, 213612792726, 230653289448, 249002760256, 268768864382, 290046400232, 312958633569, 337614948084, 364156436954, 392709209938, 423434679453, 456478140836, 492024171465, 530240037437, 571336725730, 615506642389, 662990855469, 714010553826, 768841038386, 827736396034, 891010915496, 958956265848, 1031931073529, 1110269941691, 1194381915336, 1284650588550, 1381542330200, 1485496600102, 1597044897336, 1716690396270, 1845038542795, 1982665088952, 2130259469949, 2288480068585, 2458111612966, 2639906551468, 2834757704306, 3043524509930, 3267222373643, 3506832349978, 3763508788842, 4038370974011, 4332730649762, 4647864072722, 4985261299470, 5346376757034, 5732902344095, 6146494678532, 6589074071352, 7062526428031, 7569030476039, 8110731990077, 8690101926027, 9309580532628, 9971969054667, 10680041199370, 11436971492874, 12245911074464, 13110456068601, 14034184704993, 15021169129664, 16075470567564, 17201698492833, 18404460079186, 19688971075214, 21060455608699, 22524813171699, 24087964699786, 25756580678518, 27537368693403, 29437868152281, 31465674451444, 33629305977584, 35937359606456, 38399456376987, 41025322369673, 43825820093468, 46811948493633, 49995967255269, 53390309433608, 57008806805919, 60865507541268, 64976011536879, 69356185370153, 74023616882220, 78996219052501, 84293814152848, 89936617221227, 95946961120647, 102347649769313, 109163835842275, 116421233461131, 124148161676711, 132373604771124, 141129435921739, 150448312933008, 160366097070713, 170919571169447, 182149070215900, 194096007346618, 206805734386680, 220324860369327, 234704361041338] For the set of patterns, {[1, 0, 1], [1, 1, 0], [1, 1, 1]}, the first, 300, terms are [1, 2, 3, 5, 7, 11, 14, 20, 28, 38, 50, 69, 89, 117, 152, 197, 251, 321, 405, 514, 644, 808, 1002, 1246, 1537, 1895, 2325, 2847, 3470, 4226, 5121, 6200, 7480 , 9011, 10818, 12973, 15510, 18515, 22047, 26217, 31104, 36851, 43561, 51429, 60605, 71318, 83774, 98284, 115117, 134663, 157288, 183499, 213767, 248747, 289055, 335525, 388988, 450470, 521054, 602083, 694932, 801299, 922959, 1062081 , 1220931, 1402252, 1608943, 1844449, 2112502, 2417420, 2763903, 3157456, 3603984, 4110389, 4684144, 5333872, 6069003, 6900302, 7839582, 8900304, 10097271, 11447236, 12968613, 14682321, 16611295, 18781433, 21221288, 23962919, 27041764, 30497498, 34373885, 38719956, 43589810, 49043855, 55148732, 61978821, 69616179, 78152071, 87687326, 98333894, 110215428, 123469083, 138246075, 154714143, 173058258, 193483073, 216214253, 241501324, 269619364, 300872002, 335593853, 374154051, 416959073, 464457091, 517141085, 575554251, 640294142, 712018061, 791448893, 879381432, 976689151, 1084331682, 1203362902, 1334940083, 1480333432, 1640936800, 1818279072, 2014036776, 2230048503, 2468328487, 2731084301, 3020733596, 3339924271, 3691554558, 4078796830, 4505121445, 4974325365, 5490559475, 6058362875, 6682695055, 7368977065, 8123128567, 8951616017, 9861498212, 10860481595, 11956973968, 13160150298, 14480015009, 15927481027, 17514441639, 19253863133, 21159870610, 23247856159, 25534579882, 28038295502, 30778870911, 33777934975, 37059017434, 40647722651, 44571892394, 48861810109, 53550391929, 58673422818, 64269783491, 70381725338, 77055135062, 84339855544, 92289995947, 100964306996, 110426541256, 120745891008, 131997409834, 144262521461, 157629514224, 172194128659, 188060137281, 205340029351, 224155682716, 244639161096, 266933497143, 291193618236, 317587258122, 346296028360, 377516482451, 411461356410, 448360807386, 488463848179, 532039786653, 579379892349, 630799061663, 686637746874, 747263892112, 813075161052, 884501185241, 962006134277, 1046091324007, 1137298187752, 1236211294196, 1343461777892, 1459730830474, 1585753665369, 1722323552374, 1870296384977, 2030595353446, 2204216204253, 2392232640683, 2595802380927, 2816173389701, 3054690863660, 3312804415813, 3592076112832, 3894188762854, 4220955162710, 4574327651213, 4956408731641, 5369462084256, 5815924774797, 6298419925730, 6819770745588, 7383015098338, 7991421621604, 8648506478912, 9358051844165, 10124125165147, 10951100365635, 11843679971296, 12806919413000, 13846252426931, 14967518918447, 16176994093149, 17481420379406, 18888040831488, 20404635682729, 22039560642529, 23801788708010, 25700954047779, 27747399843126, 29952228522377, 32327356471805, 34885571518167, 37640595475948, 40607149896271, 43801027516753, 47239167444394, 50939736746663, 54922216383718, 59207494328415, 63817963717589, 68777629137384, 74112218658967, 79849305069739, 86018433729390, 92651260784605, 99781699028874, 107446075391203, 115683297250712, 124535031853365, 134045895851970, 144263659612300, 155239463108881, 167028048519128, 179688006045342, 193282038542520, 207877241339651, 223545403202393, 240363324712434, 258413160425732, 277782780927500, 298566161734739, 320863794851446, 344783130582373, 370439045178862, 397954342590956, 427460285666797, 459097165690922, 493014905542872, 529373705995917, 568344730271332, 610110837191094, 654867357764896, 702822926594962, 754200362592489, 809237611351562, 868188743602500, 931325023024975, 998936037749602, 1071330909845163, 1148839577074991, 1231814162461057, 1320630425687313, 1415689313347404, 1517418601851747, 1626274651569237, 1742744265942100, 1867346675540629, 2000635641044294, 2143201696701824, 2295674528272767, 2458725508931742, 2633070387137153] ------------------------------------------------------------------------ This ends this article, that took, 1807.754, seconds to generate.