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Number of 3Xn arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 3.
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%I #3 Nov 17 2015 18:06:04

%S 1,15,888,84672,17444160,5356808640,2800372248576

%N Number of 3Xn arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 3.

%C Row 3 of A264560.

%e Some solutions for n=4

%e ..6..7..9..3....0.10..6..9....6.10..0..1....0.10..6..4....6..9..7..1

%e ..4.10..2..0....7..1..3.11....9..5..3..7....2.11..3..7....0..3.11..5

%e ..8..1..5.11....2..8..4..5....4..2..8.11....8..5..9..1...10..4..2..8

%Y Cf. A264560.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 17 2015