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A253901 a(n) = Product_{d divides n} ((d-1)!)^moebius(n/d). 0
1, 1, 2, 6, 24, 60, 720, 840, 20160, 15120, 3628800, 55440, 479001600, 8648640, 1816214400, 259459200, 20922789888000, 147026880, 6402373705728000, 55870214400, 1689515283456000, 14079294028800, 1124000727777607680000, 771008958720, 25852016738884976640000, 32382376266240000, 10002268381116211200000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..27.

FORMULA

(n-1)! = Product_{d divides n} a(d).

PROG

(PARI) a(n)={my(r=1); fordiv(n, d, r*=((d-1)!)^moebius(n/d)); r}

CROSSREFS

Cf. A250269: Product_{d divides n} (d!)^moebius(n/d).

Sequence in context: A189566 A178009 A107762 * A027562 A236625 A096259

Adjacent sequences:  A253898 A253899 A253900 * A253902 A253903 A253904

KEYWORD

nonn

AUTHOR

Joerg Arndt, Jan 18 2015

STATUS

approved

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Last modified August 7 12:19 EDT 2020. Contains 336276 sequences. (Running on oeis4.)