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A298915 Number of nX6 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jan 29 2018 07:44:27

%S 1,5,5,6,9,14,24,44,81,156,306,602,1192,2370,4720,9415,18797,37547,

%T 75032,149981,299846,599534,1198852,2397405,4794400,9588236,19175692,

%U 38350310,76699140,153396236,306789653,613575417,1227145465,2454283522,4908556821

%N Number of nX6 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A298917.

%H R. H. Hardin, <a href="/A298915/b298915.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +a(n-3) -2*a(n-4) -a(n-7) +2*a(n-8) for n>9

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298917.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 29 2018

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Last modified September 15 00:47 EDT 2024. Contains 375929 sequences. (Running on oeis4.)