%I #4 Dec 30 2014 11:54:05
%S 676,2042,6190,19312,58505,173903,503944,1397185,3802746,9816070,
%T 25016754,60535988,145230766,332520929,757040896,1655009001,
%U 3605466139,7587808715,15940578578,32532048134,66375799304,132239420396
%N Number of (5+1)X(n+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw
%C Row 5 of A253326
%H R. H. Hardin, <a href="/A253330/b253330.txt">Table of n, a(n) for n = 1..210</a>
%H R. H. Hardin, <a href="/A253330/a253330.txt">Empirical recurrence of order 63</a>
%F Empirical recurrence of order 63 (see link above)
%e Some solutions for n=4
%e ..0..0..0..0..0....0..0..0..1..1....0..0..1..0..1....1..1..0..1..0
%e ..0..0..0..0..0....0..0..0..0..0....1..0..0..0..1....0..0..1..0..1
%e ..0..0..0..0..0....0..0..1..1..1....0..0..1..1..0....1..1..1..1..1
%e ..0..0..1..0..1....0..1..0..0..0....0..1..0..0..1....1..0..1..0..1
%e ..1..0..0..0..1....1..0..1..1..1....1..0..1..1..1....1..1..1..1..1
%e ..0..1..1..1..1....0..1..0..1..1....1..0..1..1..1....0..1..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 30 2014