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A283198 Number of n X 3 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element. 1

%I

%S 0,6,83,868,7899,66412,535025,4184880,32026556,241090458,1791592450,

%T 13175736396,96069953412,695476880430,5004133981688,35817610394980,

%U 255201639221479,1811058243134494,12806908125346701,90279051900950660

%N Number of n X 3 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element.

%C Column 3 of A283203.

%H R. H. Hardin, <a href="/A283198/b283198.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -11*a(n-2) -20*a(n-3) -263*a(n-4) -506*a(n-5) -1037*a(n-6) -898*a(n-7) -488*a(n-8) +752*a(n-9) +1264*a(n-10) +842*a(n-11) -248*a(n-12) -744*a(n-13) -153*a(n-14) +170*a(n-15) +51*a(n-16) -12*a(n-17) -4*a(n-18).

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283203.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 02 2017

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Last modified January 20 03:25 EST 2022. Contains 350467 sequences. (Running on oeis4.)