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%I #3 Nov 20 2015 07:26:37
%S 2,16,314,8944,437568,31791360,3066123264
%N Number of nX3 arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 5.
%C Column 3 of A264659.
%e Some solutions for n=5
%e ..0..5..1....0..7..5....0.11..5....0.11..5....0..1..5....0..2..6....0..2..5
%e .10..6.11...10.12.11...10.12..1...10..6.13...10..6.12...10.12.11...10.12.11
%e .12..2..7....6.14..8....8..2..6....7..1..3...11..7..3....5..7.13....6..3..7
%e .13..3..9....1..9..3....9..3..7...12..2..8....2..9.13....1..3..9....1..9.13
%e .14..8..4....2..4.13...14..4.13...14..4..9....8..4.14...14..8..4....8..4.14
%Y Cf. A264659.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 20 2015