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A283945 Number of nX3 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. 1

%I #5 Mar 18 2017 12:19:49

%S 0,2,87,900,8184,71486,597042,4841992,38481035,301045074,2325973337,

%T 17791497852,134963190603,1016694067048,7613544177440,56723271609684,

%U 420727176381709,3108419156136654,22886154154768656,167982184418042992

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

%C Column 3 of A283950.

%H R. H. Hardin, <a href="/A283945/b283945.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) -53*a(n-2) +66*a(n-3) -370*a(n-4) +772*a(n-5) -629*a(n-6) +2740*a(n-7) -3912*a(n-8) +2424*a(n-9) -8276*a(n-10) +9824*a(n-11) -5152*a(n-12) +8320*a(n-13) -10816*a(n-14) +5632*a(n-15) -1024*a(n-16)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283950.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 18 2017

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Last modified March 28 07:33 EDT 2024. Contains 371235 sequences. (Running on oeis4.)