%I #8 Jan 30 2019 11:16:01

%S 8,144,1040,9308,84948,771300,7016284,63780144,579907180,5272264616,

%T 47934377596,435805897172,3962236677384,36023613993928,

%U 327517339347916,2977702208511048,27072492754395896,246136048094770872

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

%H R. H. Hardin, <a href="/A274730/b274730.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) - a(n-2) - 80*a(n-3) + 133*a(n-4) - 49*a(n-5) - 16*a(n-6) + 4*a(n-7) for n>9.

%F Empirical g.f.: 4*x*(2 + 16*x - 98*x^2 - 77*x^3 + 841*x^4 - 1108*x^5 + 434*x^6 - 72*x^7 + 24*x^8) / ((1 - x)*(1 - 9*x - 8*x^2 + 72*x^3 - 61*x^4 - 12*x^5 + 4*x^6)). - _Colin Barker_, Jan 30 2019

%e Some solutions for n=4:

%e ..0..1..0..0. .0..1..0..2. .0..1..2..1. .0..1..0..2. .0..1..2..2

%e ..2..0..1..2. .1..0..1..0. .1..0..1..2. .1..0..1..0. .1..0..1..0

%e ..1..1..0..1. .2..1..2..1. .2..1..2..1. .0..2..0..1. .0..1..0..1

%e ..2..0..2..0. .1..0..1..0. .0..0..1..2. .1..0..2..0. .2..0..1..0

%e ..1..2..0..2. .2..1..0..1. .2..1..2..1. .2..2..0..1. .0..2..0..2

%Y Row 5 of A274728.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 03 2016