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A275186 Number of 6 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 A275186 #7 Feb 01 2019 11:55:39
%S A275186 16,37,181,914,4603,23313,117916,596625,3018913,15274618,77286999,
%T A275186 391054261,1978648444,10011529573,50656125413,256308871218,
%U A275186 1296866472387,6561859014441,33201563019036,167992603723721,850005614599481
%N A275186 Number of 6 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 A275186 R. H. Hardin, <a href="/A275186/b275186.txt">Table of n, a(n) for n = 1..210</a>
%F A275186 Empirical: a(n) = 2*a(n-1) + 12*a(n-2) + 19*a(n-3) - 4*a(n-4) - 12*a(n-5) - 16*a(n-6) for n>7.
%F A275186 Empirical g.f.: x*(16 + 5*x - 85*x^2 - 196*x^3 - 36*x^4 + 40*x^5 + 112*x^6) / ((1 - x)*(1 - x - 13*x^2 - 32*x^3 - 28*x^4 - 16*x^5)). - _Colin Barker_, Feb 01 2019
%e A275186 Some solutions for n=4:
%e A275186 ..0..0..1..2. .0..0..1..2. .0..0..1..1. .0..0..1..2. .0..1..2..0
%e A275186 ..2..2..0..1. .2..2..0..1. .1..2..0..0. .1..2..0..1. .2..0..1..2
%e A275186 ..1..1..2..2. .1..1..2..2. .0..1..2..2. .0..1..2..2. .1..2..0..1
%e A275186 ..2..0..0..1. .0..0..1..1. .2..0..0..1. .2..0..1..1. .0..1..2..0
%e A275186 ..1..2..2..0. .2..2..0..0. .1..2..2..0. .1..2..2..0. .2..0..1..2
%e A275186 ..0..1..1..2. .1..1..1..2. .0..1..1..1. .0..0..1..2. .1..2..0..1
%Y A275186 Row 6 of A275183.
%K A275186 nonn
%O A275186 1,1
%A A275186 _R. H. Hardin_, Jul 19 2016