Created: Nov. 2, 2016 This is CompIneq.txt It is one of the packages that accompany the article Using the Quasi-Polynomial Ansatz to Count Intger Compositions Satisfying a\ Set of Inequalities by Shalosh B. Ekhad and Doron Zeilberger and also available from Zeilberger's website Please report bugs to zeilberg at math dot rutgers dot edu The most current version of this package and paper are available from http://www.math.rutgers.edu/~zeilberg/ . --------------------------------------- For a list of the Supporting procedures type ezra1();, for help with a specific procedure, type ezra(procedure_name); . --------------------------------------- --------------------------------------- For a list of the MAIN procedures type ezra();, for help with a specific procedure, type ezra(procedure_name); . --------------------------------------- [0, 0, 6, 0, 270, 90, 10500, 6720, 392910, 355950, 14478156, 16439346, 529404876, 706810104, 19272783816, 29111692896, 699677161326, 1165747995126, 25353979229436, 45774091141350, 917549732994180, 1771818950042856, 33174260647148088, 67845990480870498, 1198569964080659820, 2576217011384276520, 43279979034548697720, 97172396306861238720, 1562151084311426575320, 3645494682112649782440, 56364895696677322208400, 136156526172748961935200, 2033162581408415428229550, 5066507265019626353202630, 73322069395323981081793500, 187939363676310774342456750, 2643706560575331509749420500, 6952888937871643394146357800, 95306151219566977999148535000, 256632941320578733939956369270, 3435329091855352094619142017060, 9453458631038672249283002481720, 123812379936714903942117773215080, 347623412550354359085613206886560, 4461851663701935271912084788763560, 12763153196675804005956747381942360, 160778258838191766507231740405560560, 467965621751281288493359486772101410, 5793026200170719131181221470879740460, 17137271130912909801809606767015420200, 208715023775792055004589499371039269656, 626897384888398383786501373897438885536, 7519265559117988709964896895641635381416, 22910043002293523401246081641910619333304, 270877893397621394036184987041567724515376, 836510093539168123146589556095498183292256, 9757771639085931004530711120359767623040536, 30518848286150870253293452807846195757365656, 351486666796749948852186133697196078418141296, 1112623225434768542071755478271892713782039176, 12660476796654515871858668490218015723955620016, 40535794640743076365018629755938804691056027104, 456011620422624350590787782129438892148917419296, 1475924657569060199274765368707627104481265770080, 16424336562181586082931443914811529310612036733486, 53708892367407972725307383455894570238952653608806, 591544066106735452455645826298250055935538588112796, 1953457326400006136780303356764262101838904029371006, 21304670567727385781006629520231479753347510897408756, 71015729706399813078758348105852044178440462602648744, 767276657060247963029790737652936598895812326605743896, 2580557057336037345798599445143265686252606851953938430, 27632454785284839879372804630663977085343700088943018356, 93733430431012238383726811959451508166072198047801771384, 995125953334575297979464398144902466819072118377713316616, 3403377977769829381041993246779270315709456080774562847296, 35836735509750657049783735167835207736361966517892514583176, 123529814711924942190148991266518596515529904096853123398456, 1290539383630631624568994120189501102251830729399179466604336, 4482183027288648242855388082192225203222814725778802902173366, 46473682070502836666585099043754462744227718154343975560909796, 162582166514840552188529595975751785324474061835055476220348216, 1673541217135401393205059858597665055003124297152354938789074056, 5895630537047027331047152756051157643283406243983085695152087456, 60264244450548955547637370377941694679120528205504407115677754616, 213731938688846106655200639624565013416035926155763603835189299496, 2170088331046984553910367419602975686757927027293076397637279180176, 7746357374761868264237397805660669290216192948197874589012687750656, 78142964214670649645461668423228834139218476107226929377915706719336, 280686234051139033566195557327021004925075795083893226468325955828136, 2813827520491288126112901176523632548170231369693926999600968552657296, 10168249560619146341975373081585104789279080481789331569959149360337656, 101321241780490969554046260489277508447088394569089161979003266909960656, 368280160872799067434823747759617470960812646639286159042413231359699616, 3648373265504060205743295823781661850799406136835757281529992071016987616, 13335908814166514522725365980265233111552390340677821963204146844602298146, 131369341154909242552539703517923031587716968510229768591448450078464821676, 482818399939546601035547422950777761151674272302646076051779700506342793256, 4730260082388292511841745272926745688512122857057647922359560599658427285336, 17476976329619523832432637594890456071191083840453582730712512493101660961600] This took, 8989.856, seconds.