A264642 Number of nX3 arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 4.

1, 8, 149, 3741, 199456, 18120064, 1726126592, 221438398464, 48813470097408, 14488612529393664, 4256406589575831552, 1546296814503319818240, 858777769843012459560960, 594736266290299230090166272, 399581621906081685131810045952, 314299571768397018001607944568832

Offset

1,2

Comments

Column 3 of A264643.

Links

Table of n, a(n) for n=1..16.

Example

Some solutions for n=4
..4.10..8....2..8..5....4..5..8....9..6..0....4..5..8....1..5..8....1..8..5
..0..7..1....6..0..9....6..9..0....1.10..4....6..9..0....9..6..0....6..0..9
..6..3..9....3..4..1...10..1..7...11..2..8....3..1.10...10..7..4....7..4.10
..2.11..5....7.10.11....3..2.11....3..7..5....7..2.11....3.11..2....3.11..2

Crossrefs

Cf. A264643.

Sequence in context: A075351 A302063 A220559 * A300872 A217502 A382066

Adjacent sequences: A264639 A264640 A264641 * A264643 A264644 A264645

Keyword

nonn

Author

R. H. Hardin, Nov 19 2015

Extensions

More terms from Bert Dobbelaere, May 10 2026

Status

approved