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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.
4
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 26 2015
STATUS
approved