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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. 4
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 (list; table; graph; refs; listen; history; text; internal format)
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 A135155 A244847

Adjacent sequences:  A264689 A264690 A264691 * A264693 A264694 A264695

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 21 2015

STATUS

approved

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Last modified March 19 04:23 EDT 2019. Contains 321311 sequences. (Running on oeis4.)