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

Author

R. H. Hardin, Nov 17 2015

Keywords

• nonn
• tabl

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

Examples

			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).