cp's OEIS Frontend

A184567 Number of (n+2)X4 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.

%I A184567 #7 Jul 22 2025 09:37:39
%S A184567 102445,993538,6803631,37767705,179122657,748499580,2816118529,
%T A184567 9696377100,30941723282,92420016377,260446479317,696942824390,
%U A184567 1780351075904,4360845287507,10280777481167,23403139892995
%N A184567 Number of (n+2)X4 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.
%C A184567 Column 2 of A184574
%H A184567 R. H. Hardin, <a href="/A184567/b184567.txt">Table of n, a(n) for n = 1..200</a>
%F A184567 Empirical: a(n) = (1/33058844934635520000)*n^22
%F A184567 + (1/126150474498048000)*n^21
%F A184567 + (383/104267228921856000)*n^20
%F A184567 + (92459/162193467211776000)*n^19
%F A184567 + (5962883/128047474114560000)*n^18
%F A184567 + (288007/118562476032000)*n^17
%F A184567 + (141294389/1581762915532800)*n^16
%F A184567 + (37042283/15021490176000)*n^15
%F A184567 + (1207776039097/22596613079040000)*n^14
%F A184567 + (94240607009/100429391462400)*n^13
%F A184567 + (961611518503/70815596544000)*n^12
%F A184567 + (2095086803171/12875563008000)*n^11
%F A184567 + (254043967271918849/158176291553280000)*n^10
%F A184567 + (2521958296395977/195279372288000)*n^9
%F A184567 + (47247456680158789/564915326976000)*n^8
%F A184567 + (423943476564191/980755776000)*n^7
%F A184567 + (834770646644810789/470762772480000)*n^6
%F A184567 + (512186492040784177/88921857024000)*n^5
%F A184567 + (5358598443971017331/369581468256000)*n^4
%F A184567 + (33365097125850071/1263526387200)*n^3
%F A184567 + (4012922158232927/129060195264)*n^2
%F A184567 + (473624985875/23279256)*n
%F A184567 + 2037
%e A184567 Some solutions for 6X4
%e A184567 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A184567 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A184567 ..0..0..0..2....0..0..0..0....0..0..0..2....0..0..0..2....0..0..0..2
%e A184567 ..0..0..1..2....0..0..2..2....0..0..1..3....0..0..1..2....0..0..2..2
%e A184567 ..0..0..2..3....0..2..1..3....0..2..1..2....0..2..2..3....0..0..2..3
%e A184567 ..0..3..0..1....0..3..3..3....0..3..2..1....1..3..1..2....0..1..3..2
%K A184567 nonn
%O A184567 1,1
%A A184567 _R. H. Hardin_ Jan 17 2011