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A078556
Moebius mu of balanced numbers.
1
1, -1, -1, 1, 0, 1, 1, -1, 1, -1, 0, -1, -1, -1, 0, 0, -1, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 1, -1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1
OFFSET
1,1
LINKS
FORMULA
a(n) = A008683(A020492(n)).
EXAMPLE
The values of mu of the balanced numbers 3, 6 and 12 are -1, 1 and 0 respectively.
MATHEMATICA
MoebiusMu /@ Select[Range[10^5], Divisible[DivisorSigma[1, #], EulerPhi[#]] &] (* Amiram Eldar, Dec 05 2019 *)
CROSSREFS
Sequence in context: A106468 A030317 A077009 * A144093 A143200 A166282
KEYWORD
sign
AUTHOR
Labos Elemer, Dec 06 2002
STATUS
approved