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A282555 Number of nX3 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element. 1

%I #4 Feb 18 2017 08:37:12

%S 0,10,89,618,4167,26278,160698,961128,5646223,32728582,187665494,

%T 1066534616,6016524469,33727550278,188052863995,1043617792094,

%U 5767952401833,31763527625488,174355772236351,954313092199506

%N Number of nX3 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element.

%C Column 3 of A282560.

%H R. H. Hardin, <a href="/A282555/b282555.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -21*a(n-2) -22*a(n-3) -42*a(n-4) +270*a(n-5) -35*a(n-6) -104*a(n-7) -518*a(n-8) +572*a(n-9) -197*a(n-10) -84*a(n-11) +340*a(n-12) -156*a(n-13) -4*a(n-14) +24*a(n-15) -36*a(n-16)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282560.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 18 2017

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Last modified April 25 06:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)