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Number of 3Xn arrays containing n copies of 0..3-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.
1

%I #6 Aug 12 2016 06:53:58

%S 1,10,92,888,8880,91180,955320,10168092,109595168,1193414004,

%T 13106207640,144965453160,1613228920704,18047090084256,

%U 202816635014976,2288462757997500,25913609592575040,294366270662992612

%N Number of 3Xn arrays containing n copies of 0..3-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.

%C Row 3 of A265241.

%H R. H. Hardin, <a href="/A265242/b265242.txt">Table of n, a(n) for n = 1..109</a>

%e Some solutions for n=4

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

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

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

%Y Cf. A265241.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 06 2015