A264697 Number of nX3 arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 5.

1, 5, 68, 1378, 26662, 975419, 54443028, 4147768144, 528246697088, 69954693506048, 12090424122040320, 2071550441257238528, 481641334492371615744

Offset

1,2

Comments

Column 3 of A264698.

Links

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

Example

Some solutions for n=5
.12..5.10....5..6.10...10.11..7....5..7.11....0..6.10....5..6.10....0..1.10
..8..0..6....0.11..7....5..1..2....0..8..1....1.13..5....0..8..1....5..6.11
.13.11..7...12..1..2....0..8.12...10.14..6....7..3.11....2..3.11....8.12..2
..9..1..3....4..8..3....6.14..3...12..4..2...12..9..2...12.13..7....4..7..3
..4..2.14....9.13.14....4..9.13...13..9..3....8..4.14....4..9.14....9.13.14

Crossrefs

Cf. A264698.

Sequence in context: A029812 A208562 A093120 * A319465 A193439 A355086

Adjacent sequences: A264694 A264695 A264696 * A264698 A264699 A264700

Keyword

nonn,more

Author

R. H. Hardin, Nov 21 2015

Extensions

a(9)-a(13) from Bert Dobbelaere, May 10 2026

Status

approved