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Number of nX3 0..2 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.
1

%I #5 Jan 22 2016 13:21:15

%S 4,96,1625,30145,493087,8239879,130870815,2082478515,32398824901,

%T 502697528961,7715771272901,118070156191861,1796719487307091,

%U 27277256454891739,412863240478890453,6238891286484403929

%N Number of nX3 0..2 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

%C Column 3 of A267957.

%H R. H. Hardin, <a href="/A267953/b267953.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A267953/a267953.txt">Empirical recurrence of order 56</a>

%F Empirical recurrence of order 56 (see link above)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A267957.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 22 2016