%I #5 Mar 31 2012 12:36:01
%S 34779,225672,1043186,3959167,12990375,37961900,100908633,247920339,
%T 570069808,1239033996,2565887950,5095678058,9756244258,18087995239,
%U 32592776835,57255685167,98315034745,165384433476,273069215898
%N Number of (n+2)X6 0..2 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order
%C Column 4 of A185477
%H R. H. Hardin, <a href="/A185472/b185472.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = (1/27243216000)*n^15
%F + (97/21794572800)*n^14
%F + (1549/6227020800)*n^13
%F + (4127/479001600)*n^12
%F + (676031/2395008000)*n^11
%F + (54763/6220800)*n^10
%F + (60678553/304819200)*n^9
%F + (904333037/304819200)*n^8
%F + (910283537/31104000)*n^7
%F + (8446896821/43545600)*n^6
%F + (213392977159/239500800)*n^5
%F + (52396736149/17107200)*n^4
%F + (70560211894163/9081072000)*n^3
%F + (1840763445463/151351200)*n^2
%F + (1738288907/180180)*n
%F + 1019
%e Some solutions for 4X6
%e ..0..0..0..1..1..1....0..0..0..0..0..0....0..0..0..0..1..1....0..0..0..0..0..0
%e ..0..0..0..1..1..2....0..0..0..0..1..2....0..0..0..0..1..2....0..0..0..0..1..2
%e ..0..1..1..1..2..0....0..0..0..1..2..2....0..0..0..0..1..2....0..0..0..1..0..0
%e ..0..1..1..2..0..0....0..2..2..2..2..2....0..0..2..2..2..2....0..1..2..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 28 2011
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