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A274800 Number of n X 5 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) (0,-1) or (-1,0) and new values introduced in order 0..2.

%I A274800 #8 Jan 31 2019 08:06:26
%S A274800 8,60,420,3104,22988,169328,1252608,9243332,68301192,504334580,
%T A274800 3725379284,27513045320,203212320508,1500856265992,11085101613680,
%U A274800 81871796085532,604688931568808,4466096896968716,32985652382855332
%N A274800 Number of n X 5 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) (0,-1) or (-1,0) and new values introduced in order 0..2.
%H A274800 R. H. Hardin, <a href="/A274800/b274800.txt">Table of n, a(n) for n = 1..210</a>
%F A274800 Empirical: a(n) = 2*a(n-1) + 35*a(n-2) + 42*a(n-3) - 41*a(n-4) - 60*a(n-5) - 23*a(n-6) - 2*a(n-7).
%F A274800 Empirical g.f.: 4*x*(2 + 11*x + 5*x^2 - 43*x^3 - 28*x^4 + 3*x^5 + 2*x^6) / (1 - 2*x - 35*x^2 - 42*x^3 + 41*x^4 + 60*x^5 + 23*x^6 + 2*x^7). - _Colin Barker_, Jan 31 2019
%e A274800 Some solutions for n=4:
%e A274800 ..0..1..0..1..2. .0..1..2..1..0. .0..1..2..1..2. .0..1..0..1..0
%e A274800 ..1..0..1..2..1. .1..0..1..2..1. .2..0..1..0..1. .1..2..1..2..1
%e A274800 ..2..1..0..1..2. .0..1..2..1..0. .1..2..0..1..0. .0..1..2..1..2
%e A274800 ..1..0..1..0..1. .2..0..1..2..1. .2..0..2..0..1. .1..0..1..2..1
%Y A274800 Column 5 of A274803.
%K A274800 nonn
%O A274800 1,1
%A A274800 _R. H. Hardin_, Jul 07 2016