A264818 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 7.

1, 1, 1, 1, 1, 1, 2, 8, 4, 1, 4, 44, 59, 14, 1, 8, 348, 1644, 743, 47, 1, 24, 3946, 83599, 142096, 17869, 201, 1, 72, 52524, 6680669, 50750671, 19492778, 530230, 1331, 2, 216, 1041936, 731477306

Offset: 1

Author

R. H. Hardin, Nov 25 2015

Keywords

• nonn
• tabl

Comments

Table starts

.1....1......1........2........4.......8........24......72.216

.1....1......8.......44......348....3946.....52524.1041936

.1....4.....59.....1644....83599.6680669.731477306

.1...14....743...142096.50750671

.1...47..17869.19492778

.1..201.530230

.1.1331

.2

Examples

			Some solutions for n=4 k=4
..0.15..7..8....0..7..1.11....7.14..2..8....9..0.10..7....0.15..7..1
.10..2.14.11...14..2..8..5....0.15.12..1....3.15.11.14...10..2.14..8
..3..9..1..5...15..9..3.12....3..9..6.11...12..2..5..8...12..9..4.11
.12..6..4.13....6..4.10.13....4.10.13..5....6..4.13..1....6..3.13..5
		

Crossrefs

Column 1 is A264791.

Row 1 is A264557.