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%I #8 Feb 04 2019 09:16:09
%S 12,63,394,2404,14884,91849,566331,3495079,21564220,133044851,
%T 820883765,5064781430,31249159768,192804508189,1189585924729,
%U 7339632833601,45284849272769,279403286034674,1723892118671285,10636253097506243
%N Number of 5 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 R. H. Hardin, <a href="/A275404/b275404.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) + 15*a(n-2) + 55*a(n-3) + 69*a(n-4) + 8*a(n-5) - 50*a(n-6) + 14*a(n-7) + a(n-8) - a(n-9) for n>10.
%F Empirical g.f.: x*(12 + 39*x + 88*x^2 + 11*x^3 - 127*x^4 - 92*x^5 + 63*x^6 + 16*x^7 - 20*x^8 + x^9) / (1 - 2*x - 15*x^2 - 55*x^3 - 69*x^4 - 8*x^5 + 50*x^6 - 14*x^7 - x^8 + x^9). - _Colin Barker_, Feb 04 2019
%e Some solutions for n=4:
%e ..0..1..2..2. .0..1..1..1. .0..0..1..2. .0..1..1..1. .0..0..1..2
%e ..2..0..1..2. .0..0..0..1. .2..2..0..1. .2..0..0..0. .2..0..0..0
%e ..1..2..0..0. .1..2..0..0. .1..1..2..0. .2..2..2..2. .2..2..2..0
%e ..1..1..2..0. .1..2..1..2. .0..1..1..2. .0..1..1..2. .0..1..2..1
%e ..0..0..1..2. .0..0..1..2. .2..2..0..1. .0..0..1..1. .0..0..0..1
%Y Row 5 of A275401.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 26 2016
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