%I #5 Mar 31 2012 12:37:02
%S 125,749,4901,31805,205117,1322417,8522985,54938417,354134921,
%T 2282874145,14716407353,94869591953,611581623337,3942604144385,
%U 25416311360025,163848400648049,1056262956080393,6809292269424865,43896707048892665
%N Number of (n+1)X4 0..1 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards
%C Column 3 of A204616
%H R. H. Hardin, <a href="/A204611/b204611.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -8*a(n-2) -72*a(n-3) +96*a(n-4) +128*a(n-5) -128*a(n-6) -64*a(n-7) for n>10
%e Some solutions for n=4
%e ..1..0..1..1....1..1..0..0....1..0..1..1....1..0..0..0....1..1..0..0
%e ..0..0..0..0....1..0..0..0....1..0..1..1....0..0..0..1....0..0..0..1
%e ..0..1..1..0....0..0..1..1....0..0..1..1....0..1..0..1....0..1..0..1
%e ..0..0..0..0....0..0..0..0....1..0..0..0....0..1..0..1....0..1..0..1
%e ..1..1..1..1....1..0..0..1....1..0..0..0....0..0..0..0....0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 17 2012