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A299523 Number of nX3 0..1 arrays with every element equal to 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 0,4,1,12,35,60,269,873,1985,7571,24138,65389,225530,714174,2097771,

%T 6892581,21742964,66279272,212788613,670024373,2077242857,6596234246,

%U 20753371856,64838337595,204829582459,644229872136,2019822965143

%N Number of nX3 0..1 arrays with every element equal to 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299528.

%H R. H. Hardin, <a href="/A299523/b299523.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +18*a(n-3) -36*a(n-4) -45*a(n-5) -51*a(n-6) +111*a(n-7) +88*a(n-8) +94*a(n-9) +61*a(n-10) -89*a(n-11) -143*a(n-12) -109*a(n-13) +52*a(n-14) +11*a(n-15) -7*a(n-16) +3*a(n-17) for n>18

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299528.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 11 2018

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Last modified August 23 12:02 EDT 2019. Contains 326222 sequences. (Running on oeis4.)