A264709 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 6.

1, 1, 1, 1, 1, 1, 2, 8, 4, 1, 4, 84, 152, 28, 1, 8, 800, 8064, 4544, 176, 1, 24, 15360, 789696, 1555200, 202176, 1600, 2, 72, 357696, 120512448, 2248445952, 963726336, 10964160, 16128, 4, 216, 6873984, 29928517632, 3889709973504

Offset

1,7

Comments

Table starts

.1.....1........1.........2..........4.............8..........24......72.216

.1.....1........8........84........800.........15360......357696.6873984

.1.....4......152......8064.....789696.....120512448.29928517632

.1....28.....4544...1555200.2248445952.3889709973504

.1...176...202176.963726336

.1..1600.10964160

.2.16128

Links

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

Example

Some solutions for n=3 k=4
..6..1..7..8....0..1..7.10....3..6..0..9....0..6..7..1....0..9..4..1
..0..3..2.11....6..8..2.11...10..1..7..4....3..9..2..8....6..3.10..7
..9..4.10..5....9..3..4..5....5..2..8.11....4.10..5.11....8..5.11..2

Crossrefs

Column 1 is A264701.

Row 1 is A264557.

Sequence in context: A021356 A030345 A264818 * A200004 A253634 A152626

Adjacent sequences: A264706 A264707 A264708 * A264710 A264711 A264712

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 21 2015

Status

approved