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A274801 Number of n X 6 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 A274801 #6 Apr 17 2022 21:09:11
%S A274801 16,164,1572,16328,169328,1774372,18476064,193292660,2016460140,
%T A274801 21072173792,219985654388,2297904486000,23995177354892,
%U A274801 250610794543168,2617142836973944,27332712382107996,285444819027741180
%N A274801 Number of n X 6 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.
%C A274801 Column 6 of A274803.
%H A274801 R. H. Hardin, <a href="/A274801/b274801.txt">Table of n, a(n) for n = 1..210</a>
%F A274801 Empirical: a(n) = 2*a(n-1) +80*a(n-2) +140*a(n-3) -474*a(n-4) -998*a(n-5) -130*a(n-6) +781*a(n-7) +814*a(n-8) -79*a(n-9) -360*a(n-10) +54*a(n-11) +48*a(n-12) -52*a(n-13) +4*a(n-14) for n>15.
%e A274801 Some solutions for n=4
%e A274801 ..0..1..0..1..0..2. .0..1..2..0..2..1. .0..1..2..1..2..1. .0..1..0..1..2..1
%e A274801 ..1..2..1..2..1..0. .1..0..1..2..1..2. .1..2..1..0..1..0. .1..0..1..0..1..0
%e A274801 ..0..1..0..1..0..1. .2..1..2..1..2..0. .2..1..0..1..2..1. .2..1..0..2..0..1
%e A274801 ..2..0..1..0..1..0. .0..2..1..2..0..2. .1..0..1..2..1..0. .0..2..1..0..2..0
%Y A274801 Cf. A274803.
%K A274801 nonn
%O A274801 1,1
%A A274801 _R. H. Hardin_, Jul 07 2016