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

1,7

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

Links

Table of n, a(n) for n=1..39.

Example

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.

Sequence in context: A070524 A259830 A259235 * A021366 A334366 A350761

Adjacent sequences: A264689 A264690 A264691 * A264693 A264694 A264695

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 21 2015

Status

approved