A264728 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 6.

1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 2, 22, 48, 12, 1, 4, 154, 663, 474, 69, 1, 8, 931, 23096, 66528, 11552, 278, 2, 16, 14160, 1602048, 18761472, 12288000, 460672, 2524, 4, 48, 195952, 165778944

Offset

1,5

Comments

Table starts

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

.1....2......4.......22......154.....931.....14160.195952

.1....3.....48......663....23096.1602048.165778944

.1...12....474....66528.18761472

.1...69..11552.12288000

.1..278.460672

.2.2524

.4

Links

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

Example

Some solutions for n=4 k=4
.12..2..6..7...12.13..1..9...12..1.14..2...12..0..1..9....0.13..2..7
..0..8..1.13....0..2..7..3....6..7.15..3...13..6..7..3...12..4..8.14
..9.14.10..3....6.14.10.15....0.13..9..5...10..2.14.15....6.10..3.15
..4..5.11.15....4..8..5.11....8..4.10.11....4..8..5.11....1..5..9.11

Crossrefs

Column 1 is A264701.

Row 1 is A264635.

Sequence in context: A129705 A302654 A264831 * A306790 A332056 A074744

Adjacent sequences: A264725 A264726 A264727 * A264729 A264730 A264731

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 22 2015

Status

approved