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%I #5 Mar 31 2012 12:36:56
%S 8,34,321,7481,554620,125140148,91479447926,216607480473481,
%T 1675743278510590472,42706348945332757503203
%N Number of (n+1)X(n+1) 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 Diagonal of A203452
%e Some solutions for n=4
%e ..0..0..0..1..1....0..0..0..1..1....0..0..1..1..1....0..0..0..0..0
%e ..0..0..1..1..1....0..0..0..1..1....0..0..1..1..1....0..0..0..1..1
%e ..0..1..0..0..0....0..0..1..0..1....0..1..0..1..1....0..1..1..1..1
%e ..1..0..1..1..1....0..1..0..1..1....0..1..1..1..1....1..1..1..0..0
%e ..0..1..1..1..1....1..1..1..0..0....1..1..0..0..1....1..1..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 02 2012
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