A264831 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 7.

1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 2, 15, 33, 7, 1, 4, 134, 495, 288, 27, 1, 8, 978, 17181, 32296, 5400, 84, 1, 16, 10370, 881444, 4911976, 2648254, 165333, 533, 2, 48, 114292, 43181739

Offset

1,5

Comments

Table starts

.1...1......1.......1.......2......4........8.....16.48

.1...2......4......15.....134....978....10370.114292

.1...3.....33.....495...17181.881444.43181739

.1...7....288...32296.4911976

.1..27...5400.2648254

.1..84.165333

.1.533

.2

Links

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

Example

Some solutions for n=4 k=4
..0..9..1.14...14..3.15..7...14.15..7..3....0..1.15..7....4..8..0.14
..8..5..2..7....0..4..1..9....0..4..1.10....8.12..9.14...11.15..7..3
..4..6.10.15....8.12..2.11....8.12..2.11....4..6..2.10...12..9..1.10
.12.13.11..3...13..5.10..6....9.13..5..6....5.13..3.11....5.13..2..6

Crossrefs

Column 1 is A264791.

Row 1 is A264635.

Sequence in context: A294082 A129705 A302654 * A264728 A306790 A332056

Adjacent sequences: A264828 A264829 A264830 * A264832 A264833 A264834

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 26 2015

Status

approved