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A316690 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 10 2018 15:04:33

%S 16,8,21,44,88,359,1125,3117,10022,31545,95424,296211,920485,2836189,

%T 8769823,27145969,83899059,259392614,802225003,2480455071,7669523490,

%U 23715722335,73331519730,226746858798,701128606584,2167967516063

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A316693.

%H R. H. Hardin, <a href="/A316690/b316690.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +12*a(n-3) +2*a(n-4) -9*a(n-5) -27*a(n-6) -6*a(n-7) for n>11

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316693.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2018

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Last modified September 16 04:06 EDT 2024. Contains 375959 sequences. (Running on oeis4.)