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A302884 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 15 2018 10:46:44

%S 1,12,37,141,569,2262,8968,35667,141839,563967,2242515,8917145,

%T 35457932,140994125,560646436,2229344056,8864721595,35249512434,

%U 140165500184,557351464922,2216241907025,8812622737321,35042347707650,139341733946132

%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A302889.

%H R. H. Hardin, <a href="/A302884/b302884.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -a(n-2) +5*a(n-3) -3*a(n-4) -9*a(n-5) -3*a(n-6) -8*a(n-7) +4*a(n-8) +8*a(n-9) +4*a(n-10)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302889.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 15 2018

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)