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.

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

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: A264704 A264659 A371295 * A300625 A264638 A201737

Adjacent sequences: A264557 A264558 A264559 * A264561 A264562 A264563

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 17 2015

Status

approved