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

Author

R. H. Hardin, Nov 21 2015

Keywords

• nonn
• tabl

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

Examples

			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.