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A108395 Number of pluperfect Latin squares of order n. 1
1, 2, 12, 288, 161280, 1393920, 61479419904000, 592612475535360, 6670903752021072936960 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 16 23:12 EDT 2018. Contains 316275 sequences. (Running on oeis4.)