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%I #5 Mar 31 2012 12:37:03
%S 156,1271,9657,67518,457635,2995945,19292513,122364692,769496369,
%T 4805715229,29884389399,185240266936,1145815170519,7076844213885,
%U 43664352503529,269220210036124,1659131569336565,10221401510913813
%N Number of (n+1)X4 0..1 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards
%C Column 3 of A204723
%H R. H. Hardin, <a href="/A204718/b204718.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) +12*a(n-2) -350*a(n-3) +263*a(n-4) +5188*a(n-5) -6940*a(n-6) -42704*a(n-7) +68106*a(n-8) +215568*a(n-9) -376712*a(n-10) -696976*a(n-11) +1312296*a(n-12) +1459424*a(n-13) -3006176*a(n-14) -1933056*a(n-15) +4580288*a(n-16) +1473920*a(n-17) -4578688*a(n-18) -415488*a(n-19) +2871808*a(n-20) -233472*a(n-21) -1019904*a(n-22) +217088*a(n-23) +155648*a(n-24) -49152*a(n-25)
%e Some solutions for n=4
%e ..0..1..0..0....1..0..0..0....1..0..0..0....0..0..1..0....1..1..0..1
%e ..0..0..0..0....1..0..0..1....0..0..0..1....0..1..1..1....0..1..1..0
%e ..0..1..0..1....0..0..0..0....0..1..0..1....0..1..1..1....1..0..1..1
%e ..0..1..1..0....1..0..1..1....1..1..1..1....1..1..1..1....0..1..1..0
%e ..0..1..0..1....0..1..0..1....1..1..1..1....1..1..1..1....1..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 18 2012
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