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A069141 n^2*(n+1)!/(n^tau(n)) where tau(n) is the number of divisors of n. 0
2, 6, 24, 30, 720, 140, 40320, 5670, 403200, 399168, 479001600, 300300, 87178291200, 6671808000, 92990177280, 86837751000, 6402373705728000, 1158789632000, 2432902008176640000, 319318388573184, 2548754484756480000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The expression n^2*(n+1)!/(n^tau(n)) is always an integer. n^tau(n) is also the product of square divisors of n (cf. A062758(n)).

LINKS

Table of n, a(n) for n=1..21.

CROSSREFS

Sequence in context: A190424 A322484 A066332 * A158977 A165823 A263690

Adjacent sequences:  A069138 A069139 A069140 * A069142 A069143 A069144

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Apr 08 2002

STATUS

approved

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Last modified November 30 11:07 EST 2021. Contains 349419 sequences. (Running on oeis4.)