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A264698
T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 5.
4
1, 1, 1, 1, 2, 1, 1, 5, 3, 1, 2, 28, 68, 22, 1, 4, 159, 1541, 1378, 93, 2, 8, 1383, 37595, 102573, 26662, 790, 4, 16, 16818, 1947196, 20144706, 15357579, 975419, 7202, 8, 48, 168974, 148906136
OFFSET
1,5
COMMENTS
Table starts
.1....1......1........1........2.......4.........8.....16.48
.1....2......5.......28......159....1383.....16818.168974
.1....3.....68.....1541....37595.1947196.148906136
.1...22...1378...102573.20144706
.1...93..26662.15357579
.2..790.975419
.4.7202
EXAMPLE
Some solutions for n=4 k=4
.10.15.11..7....5..6.10.15....1.10..2..6....1..5.10..6....0..5.15.11
..5.13..1..2....0.13.11..7....3.15..7.11...13.15..7.11...12..6.10..2
..0..9..6..3...12..9..1..3....8..0.12.14....4..0..8.12....4..8..1.13
.12..4..8.14....8..4..2.14....4..5.13..9....9..2.14..3....9.14..7..3
CROSSREFS
Column 1 is A264656.
Row 1 is A264635.
Sequence in context: A283674 A294758 A125800 * A263296 A259862 A182930
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 21 2015
STATUS
approved