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A264659 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 5. 5
1, 1, 1, 2, 3, 1, 4, 16, 8, 1, 12, 148, 314, 38, 1, 36, 2400, 20940, 8944, 223, 2, 144, 62800, 3084352, 5911808, 437568, 2412, 4, 576, 2150784, 726042624, 7707842560, 2436623360, 31791360, 26400, 8, 2880, 89051520, 284038382592 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

.1.....1........2..........4.........12........36..........144......576.2880

.1.....3.......16........148.......2400.....62800......2150784.89051520

.1.....8......314......20940....3084352.726042624.284038382592

.1....38.....8944....5911808.7707842560

.1...223...437568.2436623360

.2..2412.31791360

.4.26400

.8

LINKS

Table of n, a(n) for n=1..39.

EXAMPLE

Some solutions for n=3 k=4

..2..0..1..5....8..6.10..5....0.10..7..1....8.10..0.11....2..0..6..5

..8.10..7.11....4..2..0..1...11..5..9..3....9..1..5..7....8.10.11..7

..4..6..3..9....9..7.11..3....2..6..4..8....4..6..2..3....4..3..1..9

CROSSREFS

Row 1 is A111942(n+1).

Sequence in context: A169625 A264794 A264704 * A264560 A300625 A264638

Adjacent sequences:  A264656 A264657 A264658 * A264660 A264661 A264662

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 20 2015

STATUS

approved

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Last modified May 28 22:08 EDT 2022. Contains 354122 sequences. (Running on oeis4.)