A264837 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 7.

1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 15, 22, 8, 1, 2, 68, 409, 271, 46, 1, 4, 401, 4800, 13814, 2703, 182, 1, 8, 2179, 147550, 1059838, 742363, 61692, 701, 2, 16, 23229, 5692511, 243485517

Offset

1,5

Comments

Table starts

.1...1.....1......1.......1.........2.......4.....8.16

.1...2.....2.....15......68.......401....2179.23229

.1...2....22....409....4800....147550.5692511

.1...8...271..13814.1059838.243485517

.1..46..2703.742363

.1.182.61692

.1.701

.2

Links

Table of n, a(n) for n=1..40.

Example

Some solutions for n=4 k=4
..0..7..8.14....0..8.14..9....7..8..9.14....0..7..9.14...15..0..8.14
..1..2..4..9....1.12..7..3....0..1.12..2...15..1..3..8...11..1..2..7
.15.10.12..3...15..5..2..4...15.10..6.11....2.12.13..4....5.10.12..9
..5.11..6.13...10..6.11.13....5..3.13..4...10..5..6.11....6..3.13..4

Crossrefs

Column 1 is A264791.

Row 1 is A264656.

Sequence in context: A216031 A263985 A176261 * A264714 A265209 A202340

Adjacent sequences: A264834 A264835 A264836 * A264838 A264839 A264840

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 26 2015

Status

approved