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Number of (n+1)X8 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
1

%I #5 Mar 31 2012 12:36:57

%S 512,1624,42112,1371532,58336803,2396938985,91479447926,3140066953229,

%T 96597454311425,2670704330646619,66787322753262716,

%U 1521429379945770028,31792318842649436230,613337883329825690251,10987780969990080992081

%N Number of (n+1)X8 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

%C Column 7 of A203452

%H R. H. Hardin, <a href="/A203451/b203451.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..0..0..0..1..0..0..0....0..1..0..0..0..0..0..1....0..0..0..0..0..1..1..1

%e ..0..0..1..1..0..1..1..1....1..0..1..1..1..1..1..1....0..0..0..0..1..1..1..1

%e ..1..1..0..0..1..0..1..1....0..1..1..1..1..1..1..0....0..0..1..1..0..0..1..1

%e ..1..1..0..1..0..1..0..1....1..1..0..0..0..0..1..1....0..1..1..1..1..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 02 2012