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 A289641 a(n) = bigomega(n) - mu(n). 1
 -1, 2, 2, 2, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 1, 4, 2, 3, 2, 3, 1, 1, 2, 4, 2, 1, 3, 3, 2, 4, 2, 5, 1, 1, 1, 4, 2, 1, 1, 4, 2, 4, 2, 3, 3, 1, 2, 5, 2, 3, 1, 3, 2, 4, 1, 4, 1, 1, 2, 4, 2, 1, 3, 6, 1, 4, 2, 3, 1, 4, 2, 5, 2, 1, 3, 3, 1, 4, 2, 5, 4, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A001222(n) - A008683(n). MATHEMATICA Table[PrimeOmega[k] - MoebiusMu[k], {k, 1, 100}]] PROG (MAGMA) [n eq 1 select -1 else &+[p[2]: p in Factorization(n)]- MoebiusMu(n): n in [1..120]]; (PARI) a(n)=my(f=factor(n)); bigomega(f)-moebius(f) \\ Charles R Greathouse IV, Jul 09 2017 CROSSREFS Cf. A001222, A008683, A249901. Sequence in context: A094701 A210452 A240301 * A209312 A054715 A254668 Adjacent sequences:  A289638 A289639 A289640 * A289642 A289643 A289644 KEYWORD sign AUTHOR Vincenzo Librandi, Jul 09 2017 STATUS approved

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Last modified October 21 11:05 EDT 2019. Contains 328294 sequences. (Running on oeis4.)