A264862 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 6 and columns nondecreasing modulo 7.

1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 12, 30, 8, 1, 1, 72, 839, 839, 47, 1, 2, 516, 16365, 39131, 15000, 422, 1, 4, 2727, 550479, 4497392, 3474446, 530302, 1625, 2, 8, 29935, 8299492, 285666842

Offset: 1

Author

R. H. Hardin, Nov 26 2015

Keywords

• nonn
• tabl

Comments

Table starts

.1....1......1.......1.......1.........1.......2.....4.8

.1....2......5......12......72.......516....2727.29935

.1....5.....30.....839...16365....550479.8299492

.1....8....839...39131.4497392.285666842

.1...47..15000.3474446

.1..422.530302

.1.1625

.2

Examples

			Some solutions for n=4 k=4
..0..7..1.14....0..1..7..2....7.14..8.15....0..7.14.15....0.14..8.15
..8..9..3.15...14..8.15.10...12..0..1..3....8..3..9.11...12..7..3..9
.12..2..4.10...13..9..3..4...13..2..9..4....1.13..2..4....6..1..4.10
..6.13..5.11....6.12..5.11....6.10..5.11...12..6.10..5...13..2.11..5
		

Crossrefs

Column 1 is A264791.

Row 1 is A264701.