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

1,4

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

Links

Table of n, a(n) for n=1..39.

Example

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).

Sequence in context: A270312 A169625 A264794 * A264659 A371295 A264560

Adjacent sequences: A264701 A264702 A264703 * A264705 A264706 A264707

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 21 2015

Status

approved