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A264560 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 3. 5
1, 1, 1, 2, 3, 1, 4, 24, 15, 2, 12, 316, 888, 156, 4, 36, 6080, 84672, 58368, 2032, 8, 144, 149824, 17444160, 66194496, 7019136, 30912, 24, 576, 5728896, 5356808640 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

..1.....1.......2........4.......12.........36.....144.576

..1.....3......24......316.....6080.....149824.5728896

..1....15.....888....84672.17444160.5356808640

..2...156...58368.66194496

..4..2032.7019136

..8.30912

.24

LINKS

Table of n, a(n) for n=1..31.

EXAMPLE

Some solutions for n=3 k=4

..4..6..1..9....6..4..9..3....0.11..9..1....0..9..1..3....6..4.10..0

.11..3..7..5....8.10..0..7....6..5..3..7....6..8..4..7....9..1..7..3

..2..0.10..8....2..1..5.11....4..8..2.10...10..2.11..5....8..2.11..5

CROSSREFS

Row 1 is A111942(n+1).

Sequence in context: A264794 A264704 A264659 * A300625 A264638 A201737

Adjacent sequences:  A264557 A264558 A264559 * A264561 A264562 A264563

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 17 2015

STATUS

approved

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Last modified June 15 22:19 EDT 2019. Contains 324145 sequences. (Running on oeis4.)