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A062794
Moebius transform of n!.
3
1, 1, 5, 22, 119, 713, 5039, 40296, 362874, 3628679, 39916799, 479000858, 6227020799, 87178286159, 1307674367875, 20922789847680, 355687428095999, 6402373705364406, 121645100408831999, 2432902008173011178
OFFSET
1,3
COMMENTS
n=5, f[5]=120, divisors={1,5} f[5/d]={120,1}, mu[d]={1,-1}, the sum is 120-1=119=a(5)
LINKS
FORMULA
a(n) = Sum{f[n/d]*mu[d]}, where d|n and f[x]=A000142(x).
a(n) ~ n!. - Vaclav Kotesovec, Sep 16 2021
PROG
(PARI) a(n) = sumdiv(n, d, d!*moebius(n/d)); \\ Michel Marcus, Nov 04 2018
CROSSREFS
Sequence in context: A276750 A131460 A326341 * A036235 A159596 A020077
KEYWORD
nonn
AUTHOR
Labos Elemer, Jul 19 2001
STATUS
approved