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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. 4
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,7
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
LINKS
EXAMPLE
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.
Sequence in context: A158934 A021356 A030345 * A264709 A200004 A253634
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 25 2015
STATUS
approved

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)