%I #4 Jan 16 2014 08:19:03
%S 487,6921,86509,919222,8638740,73276865,573836909,4209526173,
%T 29315012106,195567636675,1260793028680,7902333022413,48450753346164,
%U 291857672487975,1735081638204069,10213231916866375,59720608313178454,347726532976693642
%N Number of (n+1)X(2+1) 0..2 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing rowwise and columnwise
%C Column 2 of A235842
%H R. H. Hardin, <a href="/A235839/b235839.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0..1..0....2..0..0....2..2..0....2..0..2....1..1..0....0..2..1....1..0..0
%e ..1..1..2....2..1..2....1..0..0....0..2..0....0..1..2....2..2..0....2..1..1
%e ..0..2..2....1..0..2....1..0..0....2..0..1....1..0..0....1..2..2....1..0..2
%e ..1..1..1....0..1..0....0..2..2....1..0..2....0..2..2....0..0..0....2..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 16 2014