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A053865 A third-order generalization of the Mobius function of n. 6
1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Compares the exponents of the factors of the canonical prime factorization of n with 3 as detailed in A053864.
LINKS
MATHEMATICA
a[n_] := Which[ee = FactorInteger[n][[All, 2]]; AnyTrue[ee, # > 3 &], 0, AnyTrue[ee, # < 3 &], 1, True, (-1)^Length[ee]]; Array[a, 100] (* Jean-François Alcover, Feb 09 2018 *)
CROSSREFS
Sequence in context: A307445 A363552 A307430 * A189022 A370598 A166234
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Apr 08 2000
STATUS
approved

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Last modified March 28 14:02 EDT 2024. Contains 371254 sequences. (Running on oeis4.)