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A283721 Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. 1

%I #5 Mar 15 2017 07:58:09

%S 0,10,159,1304,9819,69972,478164,3182364,20764075,133429620,847160264,

%T 5326384974,33218865533,205768886352,1267218413380,7765068162382,

%U 47373987672324,287914794741192,1743841385348260,10529990498553708

%N Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

%C Column 3 of A283726.

%H R. H. Hardin, <a href="/A283721/b283721.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -21*a(n-2) +8*a(n-3) -162*a(n-4) +38*a(n-5) -270*a(n-6) +654*a(n-7) +231*a(n-8) +1484*a(n-9) -390*a(n-10) -508*a(n-11) -2885*a(n-12) -2464*a(n-13) -316*a(n-14) +1760*a(n-15) +4524*a(n-16) +1888*a(n-17) -96*a(n-18) -1920*a(n-19) -1600*a(n-20)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283726.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 15 2017

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)