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.

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

Links

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

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

Adjacent sequences: A264695 A264696 A264697 * A264699 A264700 A264701

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 21 2015

Status

approved