A264694 Number of 3Xn arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 5.

1, 6, 80, 3196, 171962, 17647792, 2685878592, 534222799872, 156535367729152, 52635563594612736, 27109905698993799168, 17222833124770829893632, 12892492392389642212245504

Offset

1,2

Comments

Row 3 of A264692.

Links

Table of n, a(n) for n=1..13.

Example

Some solutions for n=5
..0.10.11..8..5....0..6.11..8..5....3.10..2..5.11....0..3.12..1.10
..3..6.12.13..2...10..1..7.14..2....9..0.12..6..1....6..9.13..2..5
..9..1..7..4.14....9.12..3..4.13....4..7.13..8.14....7..4..8.14.11

Crossrefs

Cf. A264692.

Sequence in context: A349657 A323694 A077393 * A358037 A002676 A374923

Adjacent sequences: A264691 A264692 A264693 * A264695 A264696 A264697

Keyword

nonn,more

Author

R. H. Hardin, Nov 21 2015

Extensions

a(8)-a(13) from Bert Dobbelaere, May 10 2026

Status

approved