A264714 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 6.
1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 18, 40, 11, 1, 2, 116, 803, 815, 94, 1, 4, 627, 23775, 74070, 22320, 365, 2, 8, 6211, 468540, 3908105, 3432012, 352181, 2891, 4, 16, 59011, 17266449, 530614763
Offset: 1
Examples
Some solutions for n=4 k=4 .15..0.13..8....0..6..8.13....0..1.13.14....0..1..7.13....0..6..7..2 .10.12..7..2....1.12..2..7...12..7..2..8...12..2..3.14....1.12..3..8 .11..6..1.14...10..3..4.14....6..3..9..4....6..8..9..4...13.14..9..4 ..5..3..4..9....5.15.11..9....5.15.10.11...15..5.10.11...15..5.10.11
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