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A206250 Number of (n+1) X 4 0..3 arrays with every 2 X 2 subblock having zero permanent.

%I A206250 #8 Jun 14 2018 11:35:30
%S A206250 1600,99856,1364224,49336576,944701696,27285753856,603269103616,
%T A206250 15860529270784,372641945092096,9417680785309696,227009527113908224,
%U A206250 5642600260896292864,137487696199369621504,3393605721164360974336
%N A206250 Number of (n+1) X 4 0..3 arrays with every 2 X 2 subblock having zero permanent.
%C A206250 Column 3 of A206255.
%H A206250 R. H. Hardin, <a href="/A206250/b206250.txt">Table of n, a(n) for n = 1..210</a>
%F A206250 Empirical: a(n) = 28*a(n-1) +192*a(n-2) -8352*a(n-3) +25920*a(n-4) +373248*a(n-5) -1679616*a(n-6).
%F A206250 Empirical g.f.: 16*x*(100 + 3441*x - 108684*x^2 + 333072*x^3 + 5866992*x^4 - 26873856*x^5) / ((1 - 40*x + 432*x^2 - 1296*x^3)*(1 + 12*x - 144*x^2 - 1296*x^3)). - _Colin Barker_, Jun 14 2018
%e A206250 Some solutions for n=4:
%e A206250 ..1..0..0..1....2..0..3..3....2..1..2..0....0..0..1..1....1..0..0..0
%e A206250 ..0..0..0..1....0..0..0..0....0..0..0..0....3..0..0..0....0..0..1..2
%e A206250 ..1..0..0..0....2..1..1..0....2..0..1..3....3..0..1..1....1..0..0..0
%e A206250 ..1..0..0..3....0..0..0..0....2..0..0..0....1..0..0..0....1..0..3..0
%e A206250 ..2..0..0..1....2..1..1..0....0..0..0..1....3..0..0..2....1..0..0..0
%Y A206250 Cf. A206255.
%K A206250 nonn
%O A206250 1,1
%A A206250 _R. H. Hardin_, Feb 05 2012