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A297809 Number of n X 2 0..1 arrays with every element equal to 2 or 3 king-move adjacent elements, with upper left element zero. 7

%I

%S 0,1,2,1,8,5,22,29,60,121,194,425,704,1421,2574,4821,9156,16769,31962,

%T 58977,111112,207317,387366,726221,1354508,2538761,4741234,8872857,

%U 16592208,31023517,58039870,108509253,202982228,379560465,709885450

%N Number of n X 2 0..1 arrays with every element equal to 2 or 3 king-move adjacent elements, with upper left element zero.

%C Column 2 of A297814.

%H R. H. Hardin, <a href="/A297809/b297809.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +2*a(n-3) -2*a(n-4).

%F Empirical g.f.: x^2*(1 + 2*x - 2*x^2) / (1 - 3*x^2 - 2*x^3 + 2*x^4). - _Colin Barker_, Feb 21 2018

%e Some solutions for n=7:

%e ..0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0

%e ..1..0. .1..0. .0..0. .0..0. .0..0. .0..1. .0..1. .0..0. .0..1. .1..0

%e ..1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1

%e ..1..0. .1..0. .1..1. .0..1. .0..1. .1..0. .0..1. .1..0. .1..0. .1..0

%e ..0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0

%e ..1..1. .0..1. .0..1. .1..0. .1..1. .1..1. .0..1. .1..1. .0..1. .1..0

%e ..1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1. .1..1

%Y Cf. A297814.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 06 2018

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Last modified July 28 13:45 EDT 2021. Contains 346334 sequences. (Running on oeis4.)