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A302948 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 1,15,86,587,3815,25131,164916,1083375,7114906,46729709,306907879,

%T 2015697730,13238601897,86947883732,571052268590,3750530654213,

%U 24632561409541,161780595565168,1062535099406293,6978468794154813

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A302953.

%H R. H. Hardin, <a href="/A302948/b302948.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +15*a(n-2) +13*a(n-3) -2*a(n-4) -19*a(n-5) -3*a(n-6) +4*a(n-8)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302953.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 16 2018

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Last modified June 15 12:29 EDT 2021. Contains 345048 sequences. (Running on oeis4.)