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 A282393 Number of nX2 0..1 arrays with no 1 equal to more than three of its king-move neighbors. 1

%I #6 Feb 28 2017 04:01:38

%S 4,16,57,213,796,2964,11049,41193,153556,572424,2133897,7954765,

%T 29653852,110543980,412087129,1536183105,5726601012,21347689024,

%U 79580160153,296659834437,1105891936092,4122556653316,15368114012745,57289431819225

%N Number of nX2 0..1 arrays with no 1 equal to more than three of its king-move neighbors.

%C Column 2 of A282399.

%H R. H. Hardin, <a href="/A282393/b282393.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +a(n-2) +7*a(n-3) -2*a(n-4) -4*a(n-6).

%F Empirical: G.f.: -x*(-4-4*x-5*x^2+2*x^3+4*x^4+4*x^5) / ( 1-3*x-x^2-7*x^3+2*x^4+4*x^6 ). - _R. J. Mathar_, Feb 28 2017

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282399.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2017

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Last modified May 28 04:05 EDT 2023. Contains 362992 sequences. (Running on oeis4.)