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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. 4
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified February 21 19:49 EST 2020. Contains 332110 sequences. (Running on oeis4.)