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.

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

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