A221433 Number of nX3 1..(max n,3) arrays with each row and column having unrepeated values

6, 12, 12, 576, 66240, 15321600, 5411750400, 2834466324480, 2102110586634240, 2130686007341875200, 2866934087721639936000, 4998512704699099643904000, 11064050379110706817558118400, 30552674703715743883429360435200

Offset

1,1

Comments

Column 3 of A221438.

References

RJ Stones, S Lin, X Liu, G Wang, On Computing the Number of Latin Rectangles, Graphs and Combinatorics, Graphs and Combinatorics (2016) 32:1187-1202; DOI 10.1007/s00373-015-1643-1

Links

R. H. Hardin, Table of n, a(n) for n = 1..58

Example

Some solutions for n=3
..3..2..1....1..2..3....1..2..3....3..1..2....1..3..2....2..1..3....2..3..1
..2..1..3....2..3..1....3..1..2....2..3..1....3..2..1....3..2..1....1..2..3
..1..3..2....3..1..2....2..3..1....1..2..3....2..1..3....1..3..2....3..1..2

Crossrefs

Cf. A221438.

Sequence in context: A028588 A327569 A338560 * A335485 A004749 A107687

Adjacent sequences: A221430 A221431 A221432 * A221434 A221435 A221436

Keyword

nonn

Author

R. H. Hardin Jan 16 2013

Status

approved