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A304218 Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 May 08 2018 10:52:45

%S 8,31,32,62,141,279,509,996,1951,3730,7226,14057,27115,52441,101656,

%T 196607,380302,736320,1424847,2756841,5335651,10325750,19981093,

%U 38668162,74831614,144811183,280238429,542319561,1049489470,2030965075,3930321826

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A304221.

%H R. H. Hardin, <a href="/A304218/b304218.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-3) +a(n-4) +a(n-6) -2*a(n-7) -a(n-10) for n>14

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A304221.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 08 2018

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