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A264714 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 6. 4
1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 18, 40, 11, 1, 2, 116, 803, 815, 94, 1, 4, 627, 23775, 74070, 22320, 365, 2, 8, 6211, 468540, 3908105, 3432012, 352181, 2891, 4, 16, 59011, 17266449, 530614763 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1....2......2......18.....116.......627.....6211.59011

.1....2.....40.....803...23775....468540.17266449

.1...11....815...74070.3908105.530614763

.1...94..22320.3432012

.1..365.352181

.2.2891

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

.15..0.13..8....0..6..8.13....0..1.13.14....0..1..7.13....0..6..7..2

.10.12..7..2....1.12..2..7...12..7..2..8...12..2..3.14....1.12..3..8

.11..6..1.14...10..3..4.14....6..3..9..4....6..8..9..4...13.14..9..4

..5..3..4..9....5.15.11..9....5.15.10.11...15..5.10.11...15..5.10.11

CROSSREFS

Column 1 is A264701.

Row 1 is A264656.

Sequence in context: A263985 A176261 A264837 * A265209 A202340 A049705

Adjacent sequences:  A264711 A264712 A264713 * A264715 A264716 A264717

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 21 2015

STATUS

approved

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Last modified December 6 01:25 EST 2021. Contains 349558 sequences. (Running on oeis4.)