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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.
4
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
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 A375855 A265209
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 26 2015
STATUS
approved