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A269286 Number of n X 5 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three no more than once. 1

%I #8 Jan 21 2019 10:07:04

%S 756,164556,27788292,4204943820,598478857956,81907569617580,

%T 10908770041709316,1424067311317705740,183070424003703987492,

%U 23250470194285817181804,2923940806264087088770116

%N Number of n X 5 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three no more than once.

%H R. H. Hardin, <a href="/A269286/b269286.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 234*a(n-1) - 14277*a(n-2) + 68796*a(n-3) - 86436*a(n-4).

%F Empirical g.f.: 252*x*(3 - 49*x + 300*x^2 - 636*x^3) / (1 - 117*x + 294*x^2)^2. - _Colin Barker_, Jan 21 2019

%e Some solutions for n=2:

%e ..0..3..3..1..0. .2..2..0..0..1. .3..1..0..3..2. .0..1..0..1..2

%e ..2..2..0..1..3. .1..0..2..3..2. .3..1..3..2..3. .1..1..1..3..3

%Y Column 5 of A269289.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 21 2016

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Last modified September 9 11:20 EDT 2024. Contains 375764 sequences. (Running on oeis4.)