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A204709 Number of (n+1) X 5 0..1 arrays with the permanents of all 2 X 2 subblocks equal and nonzero.

%I A204709 #9 Jun 09 2018 06:49:34
%S A204709 49,209,833,3473,14145,58449,239425,986129,4047681,16650449,68397889,
%T A204709 281218705,1155579713,4750209361,19522035521,80241997073,329789811521,
%U A204709 1355498530257,5571139502913,22898117877649,94112790021953
%N A204709 Number of (n+1) X 5 0..1 arrays with the permanents of all 2 X 2 subblocks equal and nonzero.
%C A204709 Column 4 of A204713.
%H A204709 R. H. Hardin, <a href="/A204709/b204709.txt">Table of n, a(n) for n = 1..210</a>
%F A204709 Empirical: a(n) = a(n-1) +13*a(n-2) +3*a(n-3) -16*a(n-4).
%F A204709 Empirical g.f.: x*(49 + 160*x - 13*x^2 - 224*x^3) / ((1 - x)*(1 - 13*x^2 - 16*x^3)). - _Colin Barker_, Jun 09 2018
%e A204709 Some solutions for n=4:
%e A204709 ..1..1..0..1..0....1..0..1..1..1....1..1..1..0..1....1..0..1..0..1
%e A204709 ..1..0..1..0..1....1..1..1..0..1....0..1..0..1..0....1..1..0..1..1
%e A204709 ..0..1..0..1..1....1..0..1..1..1....1..1..1..0..1....1..0..1..0..1
%e A204709 ..1..1..1..0..1....0..1..0..1..0....0..1..0..1..0....1..1..1..1..1
%e A204709 ..1..0..1..1..0....1..0..1..1..1....1..1..1..0..1....0..1..0..1..0
%Y A204709 Cf. A204713.
%K A204709 nonn
%O A204709 1,1
%A A204709 _R. H. Hardin_, Jan 18 2012