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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 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

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