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A326100 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 4,29,161,929,5383,31236,181227,1051456,6100399,35393679,205349281,

%T 1191408438,6912388772,40104734047,232682180647,1349990181408,

%U 7832458355125,45442851903417,263653210203742,1529679858088141

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

%C Column 3 of A326105.

%H R. H. Hardin, <a href="/A326100/b326100.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +5*a(n-2) -2*a(n-3) -3*a(n-6) -2*a(n-7) -a(n-8) -a(n-9)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A326105.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 06 2019

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Last modified June 26 09:52 EDT 2022. Contains 354879 sequences. (Running on oeis4.)