%I #6 Mar 31 2012 12:37:02
%S 8,32,104,330,1076,3702,13314,49312,185786,706912,2706218,10403402,
%T 40120324,155122378,601086622,2333614100,9075145134,35345275932,
%U 137846543630,538257892350,2104098985192,8233430753142,32247603713264
%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) nondecreasing in column and row directions, respectively
%C Diagonal of A204651
%H R. H. Hardin, <a href="/A204643/b204643.txt">Table of n, a(n) for n = 1..63</a>
%e Some solutions for n=5
%e ..0..0..0..0..0..1....0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..0..0
%e ..0..0..1..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1....0..0..0..0..0..0
%e ..0..0..1..1..1..1....0..0..0..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1
%e ..0..1..1..1..1..1....0..0..1..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1
%e ..1..1..1..1..1..1....0..1..1..1..1..1....0..0..0..1..1..1....0..1..1..1..1..1
%e ..1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 17 2012
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