A184573 Number of (n+2)X10 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

318063303, 9696377100, 171891306894, 2213469458762, 22587829272879, 191432663548535, 1389863286849772, 8847094859463950, 50288280003912690, 259097398200707061, 1225103456113642803, 5371748111324539632

Offset

1,1

Comments

Column 8 of A184574

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = (673/181350051998613446979077070127104000000000)*n^40

+ (965677/462442632596464289796646528824115200000000)*n^39

+ (55869007/98247885313534537758994500629299200000000)*n^38

+ (14692207/146742929700158271190532326686720000000)*n^37

+ (1129481833003/88045757820094962714319396012032000000000)*n^36

+ (35144498153879/27555061243696386479111070233395200000000)*n^35

+ (25401235273163749/247995551193267478311999632100556800000000)*n^34

+ (262126995417151/38389404209484129769659385774080000000)*n^33

+ (3596914274137699/9332719339520164616768323584000000000)*n^32

+ (539235358252563887/28829987350995986783538669158400000000)*n^31

+ (1116387366983689356767/1411739380606835739916506444595200000000)*n^30

+ (231485648220727758173/7842996558926865221758369136640000000)*n^29

+ (2322340559452286223827/2351723106124997067993513984000000000)*n^28

+ (81605062321920105148379/2704481572043746628192541081600000000)*n^27

+ (16599486295341432111403/19317725514598190201375293440000000)*n^26

+ (97625742346088765429/4211276194400103749910528000000)*n^25

+ (174888755958896985910044011/293699356240044882699642470400000000)*n^24

+ (88489208847914976941793254377/6130158229965825690569759784960000000)*n^23

+ (896113550321153560129112114503/2762205684648632919861472788480000000)*n^22

+ (2747951381674061199065405244271/414330852697294937979220918272000000)*n^21

+ (8785427708895423890367179641428077/72343482216988005043990953984000000000)*n^20

+ (23628790084724156964201017870485871/11993787841237485046766921318400000000)*n^19

+ (23265331627981998133937028213755823239/827571361045386468226917570969600000000)*n^18

+ (10553549822849284259060835463023491/30049795244930518091028234240000000)*n^17

+ (38827441360182895772263834450498494341/10141805895164049855722029056000000000)*n^16

+ (969627877078730019758713838729373991/26688962882010657515057971200000000)*n^15

+ (21703826536213623030401303969738892503/72441470679743213255157350400000000)*n^14

+ (4182327134423349818635798965138531349/1950347287531548049177313280000000)*n^13

+ (353946924402717018399904311295348912463/26595644829975655216054272000000000)*n^12

+ (137399484184209533572268883565100391029/1920796571053797321159475200000000)*n^11

+ (6309671962132576848901067927195231043092297/18994757291151001708946050252800000000)*n^10

+ (675760525354911330698025546025089536579/509789513986876052306657280000000)*n^9

+ (141304268507668371503738345865177547189957/31406675415262899651035136000000000)*n^8

+ (775423336961362770909286840964803808189/60711409590907814465126400000000)*n^7

+ (4008183003568711530630026347248376762093/135412839652763951393955840000000)*n^6

+ (938628647546903640486120815258199628913/17302751733408727122561024000000)*n^5

+ (226211122595937892873492340247370663691/2996018342016338711123251200000)*n^4

+ (216326320315708236509529777041751493/2873165738044769266619520000)*n^3

+ (496967716499616196779836511031/10279294973506383552000)*n^2

+ (759115441294391109931/48134517631200)*n

+ 286599

Example

Some solutions for 4X10
..0..0..0..0..0..0..0..0..0..3....0..0..0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..0..2..3....0..0..0..0..0..0..0..1..1..3
..0..0..0..0..0..0..0..1..0..2....0..0..0..0..0..0..0..1..2..0
..0..0..0..0..0..0..0..2..2..1....0..0..0..0..0..0..0..2..0..0

Crossrefs

Sequence in context: A157789 A331445 A331446 * A112429 A364265 A104923

Adjacent sequences: A184570 A184571 A184572 * A184574 A184575 A184576

Keyword

nonn

Author

R. H. Hardin Jan 17 2011

Status

approved