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A274799 Number of n X 4 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 A274799 #7 Jan 31 2019 05:16:34
%S A274799 4,22,112,596,3104,16328,85504,448656,2352080,12335680,64684112,
%T A274799 339207984,1778768656,9327806784,48914391648,256504556080,
%U A274799 1345094908224,7053603314896,36988695973168,193966647764784,1017150172662336
%N A274799 Number of n X 4 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 A274799 R. H. Hardin, <a href="/A274799/b274799.txt">Table of n, a(n) for n = 1..210</a>
%F A274799 Empirical: a(n) = 2*a(n-1) + 15*a(n-2) + 11*a(n-3) - 2*a(n-4) - 2*a(n-5).
%F A274799 Empirical g.f.: 2*x*(2 + 7*x + 4*x^2 - x^3 - x^4) / (1 - 2*x - 15*x^2 - 11*x^3 + 2*x^4 + 2*x^5). - _Colin Barker_, Jan 31 2019
%e A274799 Some solutions for n=4:
%e A274799 ..0..1..0..1. .0..1..2..1. .0..1..0..2. .0..1..2..1. .0..1..0..1
%e A274799 ..2..0..1..2. .1..0..1..0. .2..0..2..0. .1..0..1..0. .1..0..2..0
%e A274799 ..0..2..0..1. .0..1..2..1. .0..1..0..1. .2..1..2..1. .0..1..0..2
%e A274799 ..2..0..2..0. .2..0..1..0. .1..0..1..0. .0..2..1..2. .2..0..1..0
%Y A274799 Column 4 of A274803.
%K A274799 nonn
%O A274799 1,1
%A A274799 _R. H. Hardin_, Jul 07 2016