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A283124 Number of nX2 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors. 3

%I #7 Mar 02 2017 12:23:27

%S 4,16,57,209,768,2816,10329,37889,138980,509792,1869969,6859233,

%T 25160352,92290688,338531473,1241767297,4554926628,16707926384,

%U 61286344841,224804441777,824605173856,3024734241792,11095027685417,40697671100929

%N Number of nX2 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors.

%C Column 2 of A283130.

%H R. H. Hardin, <a href="/A283124/b283124.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +2*a(n-2) +2*a(n-3) -a(n-4) -a(n-5).

%F Empirical: G.f.: -x*(x+2)*(x^3-x-2)/(1-3*x-2*x^2-2*x^3+x^4+x^5) . - _R. J. Mathar_, Mar 02 2017

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283130.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2017

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Last modified April 23 07:08 EDT 2024. Contains 371906 sequences. (Running on oeis4.)