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

%I #4 Apr 21 2018 12:44:59

%S 3,3,12,11,19,34,53,83,136,223,359,578,937,1519,2456,3971,6427,10402,

%T 16829,27227,44056,71287,115343,186626,301969,488599,790568,1279163,

%U 2069731,3348898,5418629,8767523,14186152,22953679,37139831,60093506

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

%C Column 3 of A303314.

%H R. H. Hardin, <a href="/A303309/b303309.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-3) +a(n-4) for n>7

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 21 2018