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A202923 Number of nX7 nonnegative integer arrays with each row and column increasing from zero by 0, 1, 2 or 3 1
1, 84, 23661, 10457226, 4694959782, 1652619440763, 398328574277322, 63219027201690907, 6740977636445383462, 504159442506496670736, 27687580787169017905476, 1163412004001644179602800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 7 of A202924

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = (55755955737865006874126706007 / 2078205781346373232826149589477880647321565713026487031557945072969318400000000000000)*n^63 + (16861318351223331877687442602421 / 1430453330017633523893323743406852913091467308966283281461962193082777600000000000000)*n^62 + (1290448457220735861858404949620353 / 507580213877224798800856812176625227226004528988036003099405939480985600000000000000)*n^61 + (597252708471402999949349509975709 / 1664197422548278028855268236644672876150834521272249190489855539281920000000000000)*n^60 + (310114921689113561574417612648144529 / 8320987112741390144276341183223364380754172606361245952449277696409600000000000000)*n^59 + (8071682091136592180875405325361079 / 2661012827867409703957896125111405302447768662091859914438528204800000000000000)*n^58 + (6851946749349824694393253518065881313 / 34042612384096862074771705600563150593383523228830345801954964275200000000000000)*n^57 + (12722178093924534521454735023920501 / 1137597740487781522966473035941959919578396766209869533899915264000000000000)*n^56 + (457064029869642339830499092043587281 / 861816470066501153762479572683302969377573307734749646893875200000000000000)*n^55 + (168880479352559773277677742957618833073 / 7756348230598510383862316154149726724398159769612746822044876800000000000000)*n^54 + (66741442753889926378824243530013335695459 / 85319830536583614222485477695646993968379757465740215042493644800000000000000)*n^53 + (725900441911865188599301522408031922281 / 29269238606032114656084211902451798959993055734387723856773120000000000000)*n^52 + (524685053895739400758145020722846461523919 / 751243790888157609506161438829596173306488430515951578990510080000000000000)*n^51 + (332559704862711778149423112662206115009643 / 18938919098020780071583901819233516974113153710486174260264960000000000000)*n^50 + (1070581922643672073788920573169249972446917 / 2705559871145825724511985974176216710587593387212310608609280000000000000)*n^49 + (4337432148300867552996536378302920546156713 / 541111974229165144902397194835243342117518677442462121721856000000000000)*n^48 + (6727945368498176921831519301863273577408485831 / 45994517809479037316703761560995684079989087582609280346357760000000000000)*n^47 + (2356382957989894047314750518039469714106277141 / 978606761903809304610718331085014554893384842183176177582080000000000000)*n^46 + (55216592411599378859568981252607535686743613759 / 1543336355729722974465124956928540740721187952692044643696640000000000000)*n^45 + (919940291089763503138247110150255648027043699 / 1917188019540028539708229760159677938784084413282043035648000000000000)*n^44 + (2271056389943773301495381583557196373288128153929 / 391168200760989693988856555903547192348688190774481361305600000000000000)*n^43 + (147569136766091544781468228918382644365944493341 / 2330619685487349704719306790891786077803062447435887411200000000000000)*n^42 + (4033201408621331374604101793508775524595939302053659 / 6486114584711294228233830799051840654525922791214074665369600000000000000)*n^41 + (173934391003659618249032597868031731005203985153407 / 31639583340055093796262589263667515387931330688849144709120000000000000)*n^40 + (48527839799526701230762996754577506692722837268588009 / 1107385416901928282869190624228363038577596574109720064819200000000000000)*n^39 + (2435608593126317586592656636810793697371144247687 / 7688094314053334741765706678249384115257649484582092800000000000000)*n^38 + (5841218283839629761663637357360836014849758004534471 / 2775402047373253841777420110848027665608011463934135500800000000000000)*n^37 + (39453465473822907205090839265598350149450880907083 / 3000434645808923072191805525241110989846498879928795136000000000000)*n^36 + (15733863754618288932836589298924352028132992994816589 / 197755919837406293394459909618164133421701062540761497600000000000000)*n^35 + (5535468151912240334939361484154803554701724733508429 / 11632701166906252552615288801068478436570650737691852800000000000000)*n^34 + (8635372180398456229112416137899017156145520443544728791 / 3085250853933913871454743818683384225343793701207828070400000000000000)*n^33 + (1136837131040138676667094804665630778119006800799931879 / 72122747234818765826214790566624566306738034573689487360000000000000)*n^32 + (18039715967169333227763409303122669639241026096886866523 / 217531511821146922733905900579980546763871168794837647360000000000000)*n^31 + (44330911788629844201704631683485740065415449254399132541 / 108765755910573461366952950289990273381935584397418823680000000000000)*n^30 + (7227305989594484800292453839627608743782187165028419077 / 3750543307261153840239756906551388737308123599910993920000000000000)*n^29 + (3390352760163644271073577861597298280035191118932549599 / 375054330726115384023975690655138873730812359991099392000000000000)*n^28 + (573823105901475711431613128391479983366360354911696779557361 / 13842317711274103535864882802854537982219957176371500810240000000000000)*n^27 + (173612801434719377630056562577291822155656776414505591061483 / 988736979376721681133205914489609855872854084026535772160000000000000)*n^26 + (30187611060488463130340490448555158633340956614339695752617 / 44942589971669167324236632476800447994220640183024353280000000000000)*n^25 + (11609791343791564386135769686176569332179807692136530042901 / 4494258997166916732423663247680044799422064018302435328000000000000)*n^24 + (13009388327362897281818491521479290334453185625746025517790781 / 1101581960718630133871234850382445763336603734920868659200000000000000)*n^23 + (124539067980696576848162061729144144012211933363468348626877 / 2177039448060533861405602471111552891969572598657843200000000000000)*n^22 + (125785831685006988792520279627375396693237896127583982409408207513 / 580258297808538423016672957438953305837556017369567566233600000000000000)*n^21 + (67663640724712302840364837930219420714213893567752141323956643 / 145428144814170030831246355247857971387858650969816432640000000000000)*n^20 + (32405738663675894292005671049165433250247774483318191311620957 / 8362118326814776772796665426751833354801872430764444876800000000000000)*n^19 - (115440106329574654590812054031583137978279678896994824744416093 / 81981552223674282086241817909331699556881102262396518400000000000000)*n^18 + (2896123417923863222923606638607451279778704346341199010543061009 / 214062941917371736558520302318810548842967322574035353600000000000000)*n^17 + (179592909766232163099128941666344478730849533687019351944794637 / 1427086279449144910390135348792070325619782150493569024000000000000)*n^16 + (1128846470955031063610358370989923477037426750667491536435793341 / 2382481302671832833002610921804943444847840571110195200000000000000)*n^15 + (410174275768206161636418490705717963320248647756404085234230409 / 510531707715392749929130911815345023895965836666470400000000000000)*n^14 - (183615615210090956831439330731226232129481247416926839024123691 / 135867309311354522158559032983116014423926392016076800000000000000)*n^13 - (75228137354571028693531789401644002512566227875778200754019701 / 6381646346442409374114136397691812798699572958330880000000000000)*n^12 - (29377578621434406874712764406003114940618589970083532986012183 / 1949947494746291753201541677072498355158202848378880000000000000)*n^11 + (158546032495532582035943734127830391237908037487296312438202833 / 1722453620359224381994695148080706880389745849401344000000000000)*n^10 + (225456754603684358788557285217636211535701144277010135350028607 / 763621105025922809350981515649113383639453993234595840000000000)*n^9 - (439885937710089660401608488829986021339174975168090102183941 / 1818145488156959069883289322974079484855842841034752000000000)*n^8 - (59712197911538640294635666161640197806538165737239506338437 / 38430188889615024071877106680938997857740118360064000000000)*n^7 + (8463381299119412721040398722365782971481670318785576509 / 6042482529813683030169356396374056266940270182400000000)*n^6 + (13317033928588711404311984473507220571870095973169699 / 2163911549821043408614441174953809517707943936000000)*n^5 - (14614228004761620543304686071474939470734543061141 / 2163911549821043408614441174953809517707943936000)*n^4 - (3512989409038066798802472848206689709560327555461 / 413991349868030574746858434286540666883753600000)*n^3 + (470075529023384330586301418516580521836963 / 42680884633223389071904198411138981440000)*n^2 - (65768215331430266894604847 / 16889526915754603821590880)*n + 3

EXAMPLE

Some solutions for n=3

..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0

..0..0..1..1..2..3..3....0..0..0..1..2..2..3....0..0..0..0..1..2..2

..0..0..2..2..3..4..6....0..0..0..1..3..3..5....0..0..1..2..4..5..5

CROSSREFS

Sequence in context: A186245 A224429 A289325 * A232914 A145495 A275452

Adjacent sequences:  A202920 A202921 A202922 * A202924 A202925 A202926

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 26 2011

STATUS

approved

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Last modified July 15 23:32 EDT 2020. Contains 335774 sequences. (Running on oeis4.)