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%I #11 Mar 03 2018 05:36:16
%S 16,51,156,450,1267,3490,9490,25545,68286,181584,481021,1270576,
%T 3348916,8812575,23161632,60817950,159583495,418515070,1097126806,
%U 2875195509,7533120066,19733485356,51685977361,135361729420,354473776312
%N Number of (n+1) X 2 0..1 arrays with the permanents of 2 X 2 subblocks nondecreasing rightwards and downwards.
%C Column 1 of A204723.
%H R. H. Hardin, <a href="/A204716/b204716.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) - a(n-2) - 9*a(n-3) + 4*a(n-4) + 5*a(n-5) - 2*a(n-6).
%F Empirical g.f.: x*(16 - 13*x - 32*x^2 + 21*x^3 + 18*x^4 - 8*x^5) / ((1 - x)*(1 + x)^2*(1 - 2*x)*(1 - 3*x + x^2)). - _Colin Barker_, Mar 03 2018
%e Some solutions for n=4:
%e 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1
%e 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1
%e 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1
%e 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1
%e 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 1
%Y Cf. A204723.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 18 2012
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