A264714 - OEIS

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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.

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 * A375855 A265209 A202340

Adjacent sequences: A264711 A264712 A264713 * A264715 A264716 A264717

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 21 2015

STATUS

approved