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A283859 Number of 3Xn 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors. 1

%I #4 Mar 17 2017 12:02:51

%S 8,64,409,2776,19220,131617,901397,6182652,42392411,290633973,

%T 1992674389,13662396421,93672704694,642244067806,4403393953741,

%U 30190811094903,206996026936933,1419218513242242,9730530558373154,66715043135972866

%N Number of 3Xn 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors.

%C Row 3 of A283857.

%H R. H. Hardin, <a href="/A283859/b283859.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +5*a(n-2) +50*a(n-3) +21*a(n-4) +11*a(n-5) -67*a(n-6) -229*a(n-7) -116*a(n-8) +41*a(n-9) +116*a(n-10) +66*a(n-11) +15*a(n-12) +a(n-13) -2*a(n-14)

%e Some solutions for n=4

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

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

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

%Y Cf. A283857.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 17 2017

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Last modified April 19 08:08 EDT 2024. Contains 371782 sequences. (Running on oeis4.)