%I #4 Dec 30 2014 11:45:10
%S 16,126,1217,7744,58505,283804,1660088,6753250,32941939,123940122,
%T 544975707,2033911736,8556436417,32990467558,137911795230
%N Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw
%C Diagonal of A253326
%e Some solutions for n=4
%e ..0..0..0..0..1....0..1..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..1..0..1..0..0....0..0..0..1..1....0..0..0..0..0....0..0..0..1..0
%e ..0..0..0..0..1....0..1..0..1..0....1..0..1..0..1....1..0..1..0..1
%e ..0..1..0..1..1....1..0..1..1..1....1..0..1..0..1....0..1..0..1..1
%e ..0..1..1..1..1....0..1..1..0..1....0..1..1..1..1....1..0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 30 2014