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A282587 Number of nX2 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly two elements. 1

%I #5 Feb 19 2017 06:31:56

%S 0,0,4,12,52,220,916,3700,14752,58156,225304,862968,3270532,12271368,

%T 45656044,168573708,618154444,2252870436,8165066740,29443594572,

%U 105688111208,377777628972,1345153364048,4772722041056,16878641894756

%N Number of nX2 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly two elements.

%C Column 2 of A282593.

%H R. H. Hardin, <a href="/A282587/b282587.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -24*a(n-2) +15*a(n-3) -36*a(n-4) +195*a(n-5) -143*a(n-6) -6*a(n-7) -492*a(n-8) +488*a(n-9) +96*a(n-10) +384*a(n-11) -512*a(n-12)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282593.

%K nonn

%O 1,3

%A _R. H. Hardin_, Feb 19 2017

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