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Number of nX2 arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 7.
0

%I #4 Nov 25 2015 21:45:44

%S 1,1,4,14,47,201,1331,11644,101575,1079100,11958564,169047968,

%T 2375578880,39413148160,962468127744,18758145972224

%N Number of nX2 arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 7.

%C Column 2 of A264818.

%e Some solutions for n=7

%e ..0..8....0..7....9..7....0..7....0..8....0..7....0..7....7..1....0..7....7..8

%e ..7..2....3..1....3..0....3..1....7..1....1..8....1..8....0..8....3..8....0..1

%e ..1..4....4..8...10..1...11..8....9..2...10..2....9..2....3..9...10..1....3..9

%e ..9.11...12..9...11..8....4..2....3.10....3..9....3.10...11..2....5..2....5..2

%e .10..5....5..2....5..2...12..9...12..4...12..4...12..4....4.10...12..9...12.10

%e ..3.12....6.10...13..4....6.10....6.11....6.11....5.11...12..5...13.11....6.11

%e ..6.13...13.11....6.12...13..5...13..5...13..5....6.13....6.13....6..4...13..4

%Y Cf. A264818.

%K nonn

%O 1,3

%A _R. H. Hardin_, Nov 25 2015