A264862 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 6 and columns nondecreasing modulo 7.

1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 12, 30, 8, 1, 1, 72, 839, 839, 47, 1, 2, 516, 16365, 39131, 15000, 422, 1, 4, 2727, 550479, 4497392, 3474446, 530302, 1625, 2, 8, 29935, 8299492, 285666842

Offset

1,5

Comments

Table starts

.1....1......1.......1.......1.........1.......2.....4.8

.1....2......5......12......72.......516....2727.29935

.1....5.....30.....839...16365....550479.8299492

.1....8....839...39131.4497392.285666842

.1...47..15000.3474446

.1..422.530302

.1.1625

.2

Links

Table of n, a(n) for n=1..40.

Example

Some solutions for n=4 k=4
..0..7..1.14....0..1..7..2....7.14..8.15....0..7.14.15....0.14..8.15
..8..9..3.15...14..8.15.10...12..0..1..3....8..3..9.11...12..7..3..9
.12..2..4.10...13..9..3..4...13..2..9..4....1.13..2..4....6..1..4.10
..6.13..5.11....6.12..5.11....6.10..5.11...12..6.10..5...13..2.11..5

Crossrefs

Column 1 is A264791.

Row 1 is A264701.

Sequence in context: A196641 A197090 A008518 * A176420 A099927 A139332

Adjacent sequences: A264859 A264860 A264861 * A264863 A264864 A264865

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 26 2015

Status

approved