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Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jun 28 2018 15:21:09

%S 1,25,125,846,5321,34017,216805,1382759,8818011,56235794,358634504,

%T 2287139522,14585896741,93019435778,593217934737,3783161234432,

%U 24126561478176,153863643025597,981243045206416,6257735063392694

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316282.

%H R. H. Hardin, <a href="/A316277/b316277.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +16*a(n-2) +5*a(n-3) -50*a(n-4) -91*a(n-5) -64*a(n-6) -37*a(n-7) -23*a(n-8) -5*a(n-9) for n>10

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316282.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jun 28 2018