A264562 Number of 3Xn arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 3.

1, 15, 888, 84672, 17444160, 5356808640, 2800372248576, 1948534292348928, 2080992518701056000, 2769247327776768000000, 5256945536055607296000000, 11909026561325314867200000000, 36603542572557812618231808000000, 130421762188195810181955452928000000, 607204602130316563846995212500992000000

Offset

1,2

Comments

Row 3 of A264560.

Links

Table of n, a(n) for n=1..15.

Example

Some solutions for n=4
..6..7..9..3....0.10..6..9....6.10..0..1....0.10..6..4....6..9..7..1
..4.10..2..0....7..1..3.11....9..5..3..7....2.11..3..7....0..3.11..5
..8..1..5.11....2..8..4..5....4..2..8.11....8..5..9..1...10..4..2..8

Crossrefs

Cf. A264560.

Sequence in context: A208304 A258796 A232364 * A211109 A249963 A157462

Adjacent sequences: A264559 A264560 A264561 * A264563 A264564 A264565

Keyword

nonn

Author

R. H. Hardin, Nov 17 2015

Extensions

More terms from Bert Dobbelaere, May 10 2026

Status

approved