A264704 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6.

1, 1, 1, 2, 3, 1, 4, 15, 6, 1, 12, 212, 296, 36, 1, 36, 3712, 26304, 9024, 288, 1, 144, 96256, 4689792, 7708608, 492480, 2240, 2, 576, 3423168, 1263257856, 15216574464, 4137827328, 30233088, 20736, 4, 2880, 158521536, 603321053184

Offset: 1

Author

R. H. Hardin, Nov 21 2015

Keywords

• nonn
• tabl

Comments

Table starts

.1.....1........2..........4..........12.........36..........144.......576.2880

.1.....3.......15........212........3712......96256......3423168.158521536

.1.....6......296......26304.....4689792.1263257856.603321053184

.1....36.....9024....7708608.15216574464

.1...288...492480.4137827328

.1..2240.30233088

.2.20736

Examples

			Some solutions for n=3 k=4
..0..6..8..7....4..6..0..7....8..6..2..0....4..2..6..7....0..6..3..1
..2..4.10..1...10..2..8..1...10..1..5..3...10..8..0..1....8..2.10..7
..9..5.11..3....5.11..3..9....4..7.11..9...11..3..9..5....4..5.11..9
		

Crossrefs

Row 1 is A111942(n+1).