A264643 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 4.

1, 1, 1, 1, 1, 1, 2, 8, 6, 1, 4, 55, 149, 30, 2, 8, 572, 5080, 3741, 284, 4, 24, 5928, 364544, 1185056, 199456, 2344, 8, 72, 113808, 46305472, 715001088, 503460352, 18120064, 31632, 16, 216, 2536688, 6958619648

Offset

1,7

Comments

Table starts

..1.....1........1.........2.........4........8.........24......72.216

..1.....1........8........55.......572.....5928.....113808.2536688

..1.....6......149......5080....364544.46305472.6958619648

..1....30.....3741...1185056.715001088

..2...284...199456.503460352

..4..2344.18120064

..8.31632

.16

Links

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

Example

Some solutions for n=3 k=4
..9..0..8..5....2..5.11..8....0..1..4..8....0..6..8..5...10..1..4..8
..1..4..7.10...10..1..7..4....9..3..5..2....9.10..4..1....6..9..3..0
..3..6.11..2....6..9..3..0....6..7.10.11....3..7..2.11....7..2.11..5

Crossrefs

Column 1 is A264635.

Row 1 is A264557.

Sequence in context: A011059 A200284 A019771 * A016594 A175803 A019986

Adjacent sequences: A264640 A264641 A264642 * A264644 A264645 A264646

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 19 2015

Status

approved