A203450


Number of (n+1)X7 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j1) and c(i,j)=a(i,j)+a(i1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing


1


%I
%S 256,786,13777,265581,5972476,125140148,2396938985,41222650083,
%T 637232759390,8897124488034,112983830198944,1314391834428984,
%U 14104514485212071,140489745680450603,1306284213152732426
%N Number of (n+1)X7 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j1) and c(i,j)=a(i,j)+a(i1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
%C Column 6 of A203452
%H R. H. Hardin, <a href="/A203450/b203450.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0..0..0..0..0..0..0....0..0..0..0..0..0..1....0..0..0..0..0..1..1
%e ..0..0..0..1..1..1..1....0..0..0..0..1..1..1....0..0..0..1..1..1..1
%e ..0..0..1..0..0..0..0....0..0..0..1..0..1..0....0..0..1..0..1..0..1
%e ..1..1..1..0..0..0..0....0..0..1..0..1..1..0....0..1..1..0..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 02 2012
