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Number of nX2 arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 3.
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%I #3 Nov 17 2015 18:04:25

%S 1,3,15,156,2032,30912,737280,19491840,585019584,26539425792,

%T 1275815411712,65050879721472

%N Number of nX2 arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 3.

%C Column 2 of A264560.

%e Some solutions for n=4

%e ..0..7....6..1....6..3....6..3....0..6....0..6....6..4....6..3....0..3....6..3

%e ..6..4....3..7....0..7....0..1....4..3....7..3....3..7....0..1....6..1....0..4

%e ..3..1....0..5....4..1....2..4....5..1....2..4....0..2....4..7....7..5....1..7

%e ..2..5....4..2....2..5....5..7....2..7....5..1....1..5....2..5....4..2....2..5

%Y Cf. A264560.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 17 2015