login
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
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 19 2015
STATUS
approved