A264638 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 4.

1, 1, 1, 2, 3, 1, 4, 28, 16, 1, 12, 400, 960, 128, 2, 36, 7776, 107568, 46656, 1152, 4, 144, 229392, 21565440, 71663616, 4561920, 12960, 8, 576, 9082368, 10027929600, 229132800000, 98288640000, 829440000, 269568, 16, 2880, 481406976

Offset

1,4

Comments

Table starts

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

..1......3........28.........400.........7776......229392.......9082368

..1.....16.......960......107568.....21565440.10027929600.7163873280000

..1....128.....46656....71663616.229132800000

..2...1152...4561920.98288640000

..4..12960.829440000

..8.269568

.16

Links

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

Example

Some solutions for n=3 k=4
..4..8..1..9....0..4..8..1....0..4..5..1....0..2..5..3....4..8..6..0
..0..6..2..5...10..2..7..9....2..8.11..9....8.10..1..7...10..9..7..5
.10..7.11..3....6.11..3..5....6.10..3..7....4..6..9.11....2..1.11..3

Crossrefs

Row 1 is A111942(n+1).

Sequence in context: A371295 A264560 A300625 * A201737 A080063 A187680

Adjacent sequences: A264635 A264636 A264637 * A264639 A264640 A264641

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 19 2015

Status

approved