A269273 - OEIS

%I #8 Jan 21 2019 06:22:43

%S 432,127512,23549400,3719884392,542973139128,75556007986536,

%T 10181956012212600,1340897428986116904,173553231095580128184,

%U 22161410569440812760552,2799318884872209986120184

%N Number of n X 5 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three exactly once.

%H R. H. Hardin, <a href="/A269273/b269273.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.: 72*x*(6 + 367*x - 1677*x^2 + 1302*x^3) / (1 - 117*x + 294*x^2)^2. - _Colin Barker_, Jan 21 2019

%e Some solutions for n=2:

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

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

%Y Column 5 of A269276.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 21 2016