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A302803 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 4,29,169,1010,6084,36456,218640,1312416,7873344,47237760,283440384,

%T 1700614656,10203632640,61222127616,367332102144,2203991285760,

%U 13223955677184,79343718137856,476062276976640,2856373852962816

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

%C Column 3 of A302808.

%H R. H. Hardin, <a href="/A302803/b302803.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +24*a(n-3) -144*a(n-4) for n>6

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302808.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 13 2018

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Last modified January 17 17:47 EST 2022. Contains 350402 sequences. (Running on oeis4.)