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A232296 Number of 2Xn 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally.

%I A232296 #8 Jul 23 2025 07:16:16
%S A232296 1,15,97,587,3615,22387,138505,856719,5299373,32780447,202770557,
%T A232296 1254280765,7758622663,47992624925,296868677731,1836344895365,
%U A232296 11359105312193,70264182844421,434634177177689,2688522947592119
%N A232296 Number of 2Xn 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally.
%C A232296 Row 2 of A232295
%H A232296 R. H. Hardin, <a href="/A232296/b232296.txt">Table of n, a(n) for n = 1..210</a>
%F A232296 Empirical: a(n) = 6*a(n-1) -a(n-2) +13*a(n-3) +2*a(n-4) -a(n-5) +a(n-6) -14*a(n-7) -2*a(n-8) +5*a(n-9).
%F A232296 Empirical: G.f.: -x*(1+9*x+8*x^2+7*x^3-7*x^4-6*x^5-13*x^6+3*x^7+5*x^8) / ( (5*x^6 +8*x^5 -3*x^4 -8*x^3 -6*x^2 -5*x+1)*(x^3 -2*x^2 +x-1) ). - _R. J. Mathar_, Nov 27 2013
%e A232296 Some solutions for n=7
%e A232296 ..1..2..1..1..1..2..0....1..2..2..1..1..2..1....1..2..2..2..1..1..2
%e A232296 ..2..0..2..0..2..1..0....0..1..0..1..2..0..2....0..1..2..1..2..2..2
%K A232296 nonn
%O A232296 1,2
%A A232296 _R. H. Hardin_, Nov 22 2013