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Number of nX6 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2.
1

%I #4 Jul 04 2016 10:17:31

%S 16,164,2017,25585,327123,4190533,53680592,687685512,8809672678,

%T 112857546696,1445776873145,18521322045287,237269920345659,

%U 3039578666135430,38938936908037372,498832560169009277

%N Number of nX6 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2.

%C Column 6 of A274749.

%H R. H. Hardin, <a href="/A274747/b274747.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) -10*a(n-2) -80*a(n-3) +177*a(n-4) -152*a(n-5) +56*a(n-6) -a(n-7) -5*a(n-8) +a(n-9) for n>11

%e Some solutions for n=4

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

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

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

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

%Y Cf. A274749.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 04 2016