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A184569 Number of (n+2)X6 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.

%I A184569 #7 Jul 22 2025 09:37:53
%S A184569 2430950,37767705,380532059,2943827443,18803004899,103444456133,
%T A184569 503785839330,2213469458762,8896632071640,33064363109286,
%U A184569 114609983293024,373179093576287,1148351083047878,3357036249298069,9365408840621016
%N A184569 Number of (n+2)X6 0..3 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.
%C A184569 Column 4 of A184574
%H A184569 R. H. Hardin, <a href="/A184569/b184569.txt">Table of n, a(n) for n = 1..200</a>
%F A184569 Empirical: a(n) = (1877/33876482734634873389056000000)*n^28
%F A184569 + (11987/622221111452477266329600000)*n^27
%F A184569 + (737071/230452263500917506048000000)*n^26
%F A184569 + (2523251/7445380820798873272320000)*n^25
%F A184569 + (720529321/24817936069329577574400000)*n^24
%F A184569 + (226209029/96693257412972380160000)*n^23
%F A184569 + (428601636263/2517761630221841203200000)*n^22
%F A184569 + (895861352717/88285148072713912320000)*n^21
%F A184569 + (6657779572813/14013515567097446400000)*n^20
%F A184569 + (513500327060663/29428382690904637440000)*n^19
%F A184569 + (28902349506792719/56791615719289651200000)*n^18
%F A184569 + (29102175898763483/2433926387969556480000)*n^17
%F A184569 + (69715669922508077933/304002178262079897600000)*n^16
%F A184569 + (142038276256570683601/39085994347981701120000)*n^15
%F A184569 + (298469360258931891817/6204126086981222400000)*n^14
%F A184569 + (3766091227509416251/7008426456514560000)*n^13
%F A184569 + (72461481986205915365513/14197903929822412800000)*n^12
%F A184569 + (2288207763441237912457/55316508817489920000)*n^11
%F A184569 + (36755880863016765433108943/128749174272707788800000)*n^10
%F A184569 + (27526974266867197736771411/16553465263633858560000)*n^9
%F A184569 + (97026713608751439944355719/12042864940474368000000)*n^8
%F A184569 + (268702236610212374702478103/8430005458332057600000)*n^7
%F A184569 + (905845241244834660379823869/8976394701001728000000)*n^6
%F A184569 + (9642800930818575777090611/38470263004293120000)*n^5
%F A184569 + (1335942364702678794101791/2801275438241280000)*n^4
%F A184569 + (437836547410214702956529/663029154051264000)*n^3
%F A184569 + (23010191291418229189/38588998383936)*n^2
%F A184569 + (1159084670787299/4015671660)*n
%F A184569 + 15261
%e A184569 Some solutions for 4X6
%e A184569 ..0..0..0..0..1..3....0..0..0..0..0..2....0..0..0..0..0..3....0..0..0..0..0..1
%e A184569 ..0..0..0..0..3..3....0..0..0..0..0..2....0..0..0..0..0..3....0..0..0..0..2..2
%e A184569 ..0..0..0..2..0..1....0..0..0..1..2..2....0..0..1..2..2..3....0..0..0..1..1..1
%e A184569 ..0..0..0..3..2..2....0..0..2..3..2..1....0..0..2..2..3..0....0..0..2..1..1..2
%K A184569 nonn
%O A184569 1,1
%A A184569 _R. H. Hardin_ Jan 17 2011