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

%I #7 Apr 19 2020 23:50:02

%S 1,6,80,1088,9744,165568,4055152,147762240,7887576208,624224888096,

%T 72861217834416,12595738987019680,3224446583629649792,

%U 1224344356792821362688,689079095818717776787184

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

%C Diagonal of A275142.

%H R. H. Hardin, <a href="/A275137/b275137.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A275142.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 17 2016