A264692 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 5.

1, 1, 1, 1, 1, 1, 2, 7, 6, 1, 4, 56, 80, 23, 1, 8, 348, 3196, 2051, 84, 2, 24, 4672, 171962, 465584, 59845, 897, 4, 72, 93864, 17647792, 207022624, 110630784, 3406328, 9292, 8, 216, 1776576, 2685878592

Offset: 1

Author

R. H. Hardin, Nov 21 2015

Keywords

• nonn
• tabl

Comments

Table starts

.1....1.......1.........2.........4........8.........24......72.216

.1....1.......7........56.......348.....4672......93864.1776576

.1....6......80......3196....171962.17647792.2685878592

.1...23....2051....465584.207022624

.1...84...59845.110630784

.2..897.3406328

.4.9292

Examples

			Some solutions for n=3 k=4
..6..0.10..5....0.10..1.11....0..3..1.10...10..2..5.11....0..7.10.11
..3..1.11..2....6..5..8..2....6..9.11..5....0..4..1..7....6..3..5..2
..9..7..4..8....3..9..4..7....7..4..2..8....3..9..6..8....9..4..1..8
		

Crossrefs

Column 1 is A264656.

Row 1 is A264557.