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Number of (n+2)X5 0..7 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order
1

%I #6 Mar 31 2012 12:36:01

%S 8653394212,1090205284029,84722449466168,4772160687307074,

%T 209290512833668811,7468756070356586903,223694029250999654095,

%U 5755145891541173071730,129520045203909930078682

%N Number of (n+2)X5 0..7 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

%C Column 3 of A185435

%H R. H. Hardin, <a href="/A185429/b185429.txt">Table of n, a(n) for n = 1..200</a>

%H R. H. Hardin, <a href="/A185429/a185429.txt">Formula: polynomial of degree 133</a>

%F Polynomial of degree 133, see link

%e Some solutions for 4X5

%e ..0..0..0..0..2....0..0..0..0..0....0..0..0..0..0....0..0..0..0..2

%e ..0..0..0..0..5....0..0..0..0..0....0..0..0..0..6....0..0..0..0..4

%e ..0..0..0..6..4....0..0..0..2..4....0..0..0..4..3....0..0..0..1..4

%e ..0..0..4..2..5....0..0..0..3..7....0..0..4..5..2....0..0..4..2..5

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 27 2011