%I #4 Jan 12 2014 06:03:19
%S 288,2878,33851,378570,3824372,33823017,265989722,1875119528,
%T 12064334056,71470709789,394816481079,2046492520798,10040116514715,
%U 46818554972015,208795743874615,893130423787384,3681115372968065,14648853777588355
%N Number of (n+1)X(4+1) 0..1 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing rowwise and columnwise
%C Column 4 of A235555
%H R. H. Hardin, <a href="/A235552/b235552.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..1..1..0..0..1....0..1..1..0..0....0..1..1..0..1....1..0..1..0..0
%e ..1..0..1..0..0....1..1..0..1..0....0..1..1..0..0....1..1..0..0..1
%e ..0..1..1..1..0....1..1..0..0..0....1..0..0..1..0....1..0..0..0..0
%e ..1..0..0..1..1....0..0..0..0..0....1..0..0..0..0....0..1..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 12 2014