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

%I #4 Apr 03 2018 11:58:21

%S 1,11,16,47,147,386,1065,3063,8624,24219,68527,193946,547869,1548531,

%T 4380048,12385479,35018011,99025330,280031137,791849343,2239169200,

%U 6331964803,17905479095,50632882698,143179634869,404883140379

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

%C Column 3 of A302212.

%H R. H. Hardin, <a href="/A302207/b302207.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +9*a(n-3) -13*a(n-4) +2*a(n-5) -12*a(n-6) +12*a(n-7) -16*a(n-9)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302212.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 03 2018