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

Author

R. H. Hardin Jan 17 2011

Keywords

• nonn

Comments

Column 8 of A184574

Examples

			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
		

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