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%I #4 Jan 15 2014 10:08:09
%S 1456,15185,166904,1874171,21858973,256515598,3001277411,34219649525,
%T 377305772901,3996716802464,40551532587028,394526377977006,
%U 3678627148220061,32961358198928201,284089095758128220
%N Number of (n+1)X(6+1) 0..1 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise
%C Column 6 of A235772
%H R. H. Hardin, <a href="/A235771/b235771.txt">Table of n, a(n) for n = 1..43</a>
%e Some solutions for n=3
%e ..1..0..0..0..1..0..1....0..1..0..1..1..0..0....0..0..1..0..0..1..0
%e ..1..0..1..0..0..0..0....1..1..1..1..1..0..1....1..1..0..1..0..0..0
%e ..1..1..0..1..1..1..0....1..0..1..0..1..0..0....1..0..1..0..0..1..0
%e ..0..1..1..1..0..1..0....1..1..1..1..1..1..1....1..1..1..1..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 15 2014