A229343 Moebius function of the arithmetic derivative of n: a(n) = mu(n').

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

Offset

2

Links

Antti Karttunen, Table of n, a(n) for n = 2..65537

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

Cf. A008683, A003415.

Cf. also A229340, A229341, A229342, A229344.

Sequence in context: A004547 A285358 A230603 * A085369 A188082 A046980

Adjacent sequences: A229340 A229341 A229342 * A229344 A229345 A229346

Keyword

sign

Author

Luca Brigada Villa, Sep 24 2013

Status

approved