cp's OEIS Frontend

A275231 Number of 6 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2.

%I A275231 #8 Feb 02 2019 20:30:46
%S A275231 16,162,2282,32388,460034,6534900,92831330,1318716132,18733040162,
%T A275231 266112481908,3780264894914,53700610406820,762844837516610,
%U A275231 10836603937486452,153939541994209442,2186790504309773028
%N A275231 Number of 6 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2.
%H A275231 R. H. Hardin, <a href="/A275231/b275231.txt">Table of n, a(n) for n = 1..210</a>
%F A275231 Empirical: a(n) = 19*a(n-1) - 75*a(n-2) + 101*a(n-3) - 44*a(n-4) for n>5.
%F A275231 Empirical g.f.: 2*x*(8 - 71*x + 202*x^2 - 218*x^3 + 77*x^4) / ((1 - x)*(1 - 18*x + 57*x^2 - 44*x^3)). - _Colin Barker_, Feb 02 2019
%e A275231 Some solutions for n=4:
%e A275231 ..0..0..1..2. .0..1..2..2. .0..1..0..1. .0..1..2..1. .0..1..2..1
%e A275231 ..2..1..2..1. .1..0..1..0. .2..0..1..0. .1..2..1..0. .2..2..1..2
%e A275231 ..1..2..1..2. .2..1..0..1. .0..2..0..2. .0..1..0..1. .0..1..2..0
%e A275231 ..2..1..0..1. .1..0..1..0. .1..0..2..0. .1..0..1..0. .1..0..1..2
%e A275231 ..1..2..1..0. .0..1..2..2. .0..1..1..1. .0..1..2..1. .0..1..2..1
%e A275231 ..2..1..2..1. .1..2..1..0. .1..0..2..0. .1..0..1..2. .2..2..1..0
%Y A275231 Row 6 of A275228.
%K A275231 nonn
%O A275231 1,1
%A A275231 _R. H. Hardin_, Jul 20 2016