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A320359 Number of nX3 0..1 arrays with every element unequal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Oct 11 2018 14:00:11

%S 0,1,4,13,60,258,1111,4836,21007,91214,396170,1720608,7472694,

%T 32454615,140953263,612172021,2658715999,11547033504,50149763813,

%U 217804756979,945944877379,4108320326435,17842790116095,77492779006291

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

%C Column 3 of A320364.

%H R. H. Hardin, <a href="/A320359/b320359.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -4*a(n-2) +9*a(n-3) -19*a(n-4) +12*a(n-5) -24*a(n-6) +5*a(n-7) -9*a(n-8) +28*a(n-9) +20*a(n-10) -13*a(n-11) -31*a(n-12) -8*a(n-13) +14*a(n-14) +19*a(n-15) +4*a(n-16) -a(n-17) -2*a(n-18) for n>20

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A320364.

%K nonn

%O 1,3

%A _R. H. Hardin_, Oct 11 2018

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)