A108395 Number of pluperfect Latin squares of order n.

1, 2, 12, 288, 161280, 1393920, 61479419904000, 592612475535360, 6670903752021072936960

Offset

1,2

Comments

A Latin square is pluperfect if in each possible dissection of the Latin square into n translates of congruent rectangular blocks, no block contains duplicate symbols. For any prime number p, a(p) = A002860(p) and a(p^2) = A107739(p).

Links

Table of n, a(n) for n=1..9.

Crossrefs

Cf. A002860, A107739.

Sequence in context: A200564 A008338 A000178 * A009669 A202729 A012380

Adjacent sequences: A108392 A108393 A108394 * A108396 A108397 A108398

Keyword

hard,nice,nonn

Author

William Rex Marshall, Jul 02 2005

Status

approved