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A229343 Moebius function of the arithmetic derivative of n: a(n) = mu(n'). 5
1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, -1, 1, 0, 1, 1, 0, 0, 1, -1, 1, 0, 1, -1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 1, 0, 1, 1, 1, 0, 0, -1, 1, 0, 1, -1, 1, 0, 1, 1, 1, 0, 0, -1, 1, 0, 0, -1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
2
LINKS
FORMULA
a(n) = A008683(A003415(n)).
EXAMPLE
For n=4, mu(n') = mu(4') = mu(4) = 0.
For n=7, mu(n') = mu(7') = mu(1) = 1.
PROG
(PARI) rd(n) = {local(fac); if(n<1, 0, fac=factor(n); sum(i=1, matsize(fac)[1], n*fac[i, 2]/fac[i, 1]; )); }
a(n) = moebius(rd(n)); \\ Michel Marcus, Sep 24 2013
CROSSREFS
Sequence in context: A004547 A285358 A230603 * A085369 A188082 A046980
KEYWORD
sign
AUTHOR
Luca Brigada Villa, Sep 24 2013
STATUS
approved

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Last modified June 16 18:41 EDT 2024. Contains 373432 sequences. (Running on oeis4.)