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%I #5 Mar 31 2012 12:36:00
%S 102445,993538,6803631,37767705,179122657,748499580,2816118529,
%T 9696377100,30941723282,92420016377,260446479317,696942824390,
%U 1780351075904,4360845287507,10280777481167,23403139892995
%N Number of (n+2)X4 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order
%C Column 2 of A184574
%H R. H. Hardin, <a href="/A184567/b184567.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = (1/33058844934635520000)*n^22
%F + (1/126150474498048000)*n^21
%F + (383/104267228921856000)*n^20
%F + (92459/162193467211776000)*n^19
%F + (5962883/128047474114560000)*n^18
%F + (288007/118562476032000)*n^17
%F + (141294389/1581762915532800)*n^16
%F + (37042283/15021490176000)*n^15
%F + (1207776039097/22596613079040000)*n^14
%F + (94240607009/100429391462400)*n^13
%F + (961611518503/70815596544000)*n^12
%F + (2095086803171/12875563008000)*n^11
%F + (254043967271918849/158176291553280000)*n^10
%F + (2521958296395977/195279372288000)*n^9
%F + (47247456680158789/564915326976000)*n^8
%F + (423943476564191/980755776000)*n^7
%F + (834770646644810789/470762772480000)*n^6
%F + (512186492040784177/88921857024000)*n^5
%F + (5358598443971017331/369581468256000)*n^4
%F + (33365097125850071/1263526387200)*n^3
%F + (4012922158232927/129060195264)*n^2
%F + (473624985875/23279256)*n
%F + 2037
%e Some solutions for 6X4
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..0..2....0..0..0..0....0..0..0..2....0..0..0..2....0..0..0..2
%e ..0..0..1..2....0..0..2..2....0..0..1..3....0..0..1..2....0..0..2..2
%e ..0..0..2..3....0..2..1..3....0..2..1..2....0..2..2..3....0..0..2..3
%e ..0..3..0..1....0..3..3..3....0..3..2..1....1..3..1..2....0..1..3..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 17 2011
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