A289641 - OEIS

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A289641

a(n) = bigomega(n) - mu(n).

-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