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Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 27 2018 09:52:07

%S 1,12,38,148,616,2520,10288,42100,172268,704776,2883500,11797636,

%T 48268920,197487780,808003420,3305872824,13525678764,55339088836,

%U 226414867352,926355911364,3790101263196,15506855855704,63444895485516

%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A303624.

%H R. H. Hardin, <a href="/A303619/b303619.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -5*a(n-2) +8*a(n-3) -12*a(n-4) +4*a(n-5) -4*a(n-6) for n>8

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303624.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 27 2018