cp's OEIS Frontend

A275185 Number of 5 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.

%I A275185 #9 Feb 01 2019 05:32:09
%S A275185 8,21,85,353,1465,6081,25241,104769,434873,1805057,7492377,31099137,
%T A275185 129085369,535803713,2223998105,9231305153,38317026745,159045174401,
%U A275185 660159977241,2740172389249,11373826014393,47210138571457
%N A275185 Number of 5 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.
%H A275185 R. H. Hardin, <a href="/A275185/b275185.txt">Table of n, a(n) for n = 1..210</a>
%F A275185 Empirical: a(n) = 2*a(n-1) + 7*a(n-2) + 8*a(n-3) for n>5.
%F A275185 Empirical g.f.: x*(8 + 5*x - 13*x^2 - 28*x^3 - 4*x^4) / (1 - 2*x - 7*x^2 - 8*x^3). - _Colin Barker_, Feb 01 2019
%e A275185 Some solutions for n=4:
%e A275185 ..0..0..0..1. .0..0..0..1. .0..1..1..1. .0..1..1..1. .0..0..0..1
%e A275185 ..2..2..2..2. .1..2..2..0. .2..0..0..0. .2..2..0..0. .1..2..2..0
%e A275185 ..1..1..1..1. .0..1..1..2. .1..1..2..2. .1..1..2..2. .0..1..1..2
%e A275185 ..0..0..0..0. .2..2..0..0. .0..0..1..1. .0..0..0..1. .2..0..0..0
%e A275185 ..2..2..2..2. .0..1..2..2. .1..2..2..0. .2..2..2..0. .1..2..2..2
%Y A275185 Row 5 of A275183.
%K A275185 nonn
%O A275185 1,1
%A A275185 _R. H. Hardin_, Jul 19 2016