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Number of nX3 arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 5.
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%I #3 Nov 21 2015 07:30:17

%S 1,7,80,2051,59845,3406328,233531136,21272671232

%N Number of nX3 arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 5.

%C Column 3 of A264692.

%e Some solutions for n=5

%e .10..1..5....0..1.10....6.12..0....0..6..5....0.10..7....7.10..5....5.11..2

%e ..0..7.11....6.12..5....8..2..5...10..1..7...11..5..2...12..0..6....0.12..3

%e ..6.12..2...13..7.11...13..7.10...12.11..2...12..1.13....3..1..2...10..7.13

%e ..3..8.14....3..8..2....3..9..1....4.13..8....9..6..3....8.11.14....6..9..8

%e ..9.13..4....9..4.14....4.14.11....9..3.14....4..8.14....9.13..4....1..4.14

%Y Cf. A264692.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 21 2015