%I #7 May 28 2021 15:11:09
%S 51,261,1271,5821,26128,115060,502546,2181023,9435107,40725864,
%T 175575234,756334373,3256622029,14018388717,60333239964,259639675364,
%U 1117272873312,4807636088206,20686854358737,89012629944208,383005849761933
%N Number of (n+1) X 3 0..1 arrays with the permanents of 2 X 2 subblocks nondecreasing rightwards and downwards.
%C Column 2 of A204723.
%H R. H. Hardin, <a href="/A204717/b204717.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -a(n-2) -74*a(n-3) +80*a(n-4) +292*a(n-5) -406*a(n-6) -510*a(n-7) +827*a(n-8) +333*a(n-9) -745*a(n-10) +24*a(n-11) +246*a(n-12) -72*a(n-13).
%e Some solutions for n=4
%e ..0..1..0....0..0..0....1..1..1....0..1..1....1..0..0....1..0..0....1..1..0
%e ..1..1..1....1..0..1....1..0..1....0..0..1....1..0..1....0..0..1....1..0..1
%e ..1..0..1....0..0..0....0..1..1....0..1..0....1..0..1....1..0..1....0..1..0
%e ..1..1..0....0..1..1....1..1..0....1..1..1....1..0..1....0..1..1....1..1..1
%e ..0..1..1....0..1..0....1..0..1....0..1..1....0..0..1....1..1..1....1..0..1
%Y Cf. A204723.
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 18 2012
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