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Number of nX3 arrays containing 3 copies of 0..n-1 with column sums equal.
0

%I #4 Aug 12 2016 07:05:19

%S 1,8,216,19584,4140000,1936704000,1610574336000,2195571603456000

%N Number of nX3 arrays containing 3 copies of 0..n-1 with column sums equal.

%C Column 3 of A268472.

%e Some solutions for n=4

%e ..2..3..3. .3..2..1. .0..1..2. .2..0..1. .1..3..2. .0..3..2. .3..2..1

%e ..1..0..2. .1..3..0. .3..2..0. .3..1..2. .2..0..1. .1..3..1. .0..1..0

%e ..3..1..1. .0..0..2. .2..0..1. .1..3..3. .1..3..0. .2..0..1. .1..3..3

%e ..0..2..0. .2..1..3. .1..3..3. .0..2..0. .2..0..3. .3..0..2. .2..0..2

%Y Cf. A268472.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 05 2016