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A283693 Number of 3Xn 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. 1

%I #4 Mar 14 2017 16:18:20

%S 8,57,264,1521,8687,47829,268285,1503392,8399236,46998162,262952663,

%T 1470846540,8228361722,46031489681,257506370211,1440540994224,

%U 8058660343663,45081605428482,252194893203897,1410825055629845

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

%C Row 3 of A283691.

%H R. H. Hardin, <a href="/A283693/b283693.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +3*a(n-2) +15*a(n-3) -72*a(n-4) -21*a(n-5) +45*a(n-6) +96*a(n-7) +13*a(n-8) -115*a(n-9) +50*a(n-10) -14*a(n-11)

%e Some solutions for n=4

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

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

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

%Y Cf. A283691.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 14 2017

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)