A108395 - OEIS

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A108395

Number of pluperfect Latin squares of order n.

1, 2, 12, 288, 161280, 1393920, 61479419904000, 592612475535360, 6670903752021072936960 (list; graph; refs; listen; history; 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).`
	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 (w.r.marshall(AT)actrix.co.nz), Jul 02 2005`

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Last modified February 16 17:11 EST 2012. Contains 205938 sequences.