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%I #3 Nov 17 2015 18:04:49
%S 2,24,888,58368,7019136,1202698368
%N Number of nX3 arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 3.
%C Column 3 of A264560.
%e Some solutions for n=4
%e ..0..6..3....9..1..3...10..6..3....6..0..3....9..7..3....3.11..9....6..0.10
%e .10..4..9....0..4..2....7..9..1....1..5..9....0..4..6....6..8..0....3..9..7
%e ..1..7..5....6..7.11....4..0..5....4..8..7...10..2..8....7..5..1....5.11..1
%e ..2..8.11...10..8..5....8..2.11...10..2.11....1..5.11...10..2..4....8..2..4
%Y Cf. A264560.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 17 2015