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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. 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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 18 15:09 EST 2022. Contains 350455 sequences. (Running on oeis4.)