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A316803 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 14 2018 14:56:42

%S 4,32,247,1905,14711,113606,877309,6774916,52318510,404023677,

%T 3120026371,24094044759,186063489168,1436853892633,11095938907760,

%U 85687111874080,661708865050287,5109970595456477,39461160134896235,304734270012530218

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316808.

%H R. H. Hardin, <a href="/A316803/b316803.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -3*a(n-2) +7*a(n-3) -3*a(n-4)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316808.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 14 2018

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Last modified February 22 20:28 EST 2024. Contains 370264 sequences. (Running on oeis4.)