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%I #10 Jun 10 2018 18:16:23
%S 56,132,318,804,2048,5304,13786,36074,94630,249116,657120,1737412,
%T 4601434,12208078,32435606,86299392,229889712,613103960,1636797162,
%U 4373968322,11698648166,31314844564,83885825808,224868555948
%N Number of (n+1) X 2 0..2 arrays with the permanents of all 2 X 2 subblocks equal and nonzero.
%C Column 1 of A204840.
%H R. H. Hardin, <a href="/A204833/b204833.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) + 8*a(n-2) - 41*a(n-3) - 21*a(n-4) + 152*a(n-5) + 18*a(n-6) - 237*a(n-7) + 12*a(n-8) + 130*a(n-9) - 24*a(n-10).
%F Empirical g.f.: 2*x*(28 - 46*x - 329*x^2 + 386*x^3 + 1438*x^4 - 1011*x^5 - 2622*x^6 + 955*x^7 + 1599*x^8 - 326*x^9) / ((1 - x)*(1 - 2*x^2)*(1 - x - 3*x^2)*(1 - x - 4*x^2)*(1 - x - 5*x^2 + x^3)). - _Colin Barker_, Jun 10 2018
%e Some solutions for n=4:
%e 2 2 0 2 0 1 0 2 2 2 2 1 1 2 2 2 2 2 0 1
%e 0 1 1 2 2 2 2 0 1 0 2 1 1 1 0 1 0 1 2 1
%e 2 0 1 0 0 1 2 2 0 2 0 2 1 2 2 2 2 2 2 0
%e 0 1 2 2 2 2 0 2 1 1 2 1 1 1 0 1 0 1 0 1
%e 2 2 0 1 0 1 2 1 0 2 2 1 2 1 2 1 2 2 2 1
%Y Cf. A204840.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 19 2012
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