cp's OEIS Frontend

A275506 Number of 6 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2.

%I A275506 #7 Feb 04 2019 09:38:50
%S A275506 24,104,516,2628,13384,68080,346528,1763408,8974288,45670736,
%T A275506 232422608,1182818704,6019467984,30633598480,155897059664,
%U A275506 793373760912,4037548401360,20547436657936,104567700792400,532154167518352
%N A275506 Number of 6 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2.
%H A275506 R. H. Hardin, <a href="/A275506/b275506.txt">Table of n, a(n) for n = 1..210</a>
%F A275506 Empirical: a(n) = 3*a(n-1) + 10*a(n-2) + 4*a(n-3) - 4*a(n-4) for n>5.
%F A275506 Empirical g.f.: 4*x*(6 + 8*x - 9*x^2 - 14*x^3 + 5*x^4) / (1 - 3*x - 10*x^2 - 4*x^3 + 4*x^4). - _Colin Barker_, Feb 04 2019
%e A275506 Some solutions for n=4:
%e A275506 ..0..1..2..0. .0..1..1..1. .0..1..1..1. .0..0..1..0. .0..0..0..1
%e A275506 ..1..2..2..0. .1..2..2..0. .1..1..2..2. .0..1..1..2. .1..1..1..1
%e A275506 ..2..2..0..1. .1..2..0..0. .1..2..0..0. .1..1..2..2. .2..2..2..2
%e A275506 ..2..0..1..1. .2..0..1..1. .2..0..0..1. .1..2..0..0. .0..0..0..0
%e A275506 ..0..1..1..2. .2..0..1..2. .0..0..1..1. .2..0..0..1. .0..1..1..1
%e A275506 ..0..1..2..2. .0..1..2..0. .0..1..2..2. .0..0..1..1. .2..2..2..2
%Y A275506 Row 6 of A275504.
%K A275506 nonn
%O A275506 1,1
%A A275506 _R. H. Hardin_, Jul 30 2016