This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A304653 a(n) = (-1)^Omega(n) if n is not a perfect power > 1, and 0 otherwise. 3
 1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, -1, -1, 1, 1, 0, -1, -1, -1, -1, 1, 1, -1, 1, 0, 1, 0, -1, -1, -1, -1, 0, 1, 1, 1, 0, -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, 0, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS Omega(n) = A001222(n) is the number of prime factors of n counted with multiplicity. LINKS EXAMPLE Agrees with Moebius function A008683 except for numbers like 12, 18, .... Moebius(12) = 0, a(12) = (-1)^3 = -1. - N. J. A. Sloane, May 26 2018 MATHEMATICA Table[If[GCD @@ FactorInteger[n][[All, 2]] == 1, (-1)^PrimeOmega[n], 0], {n, 100}] CROSSREFS An unsigned version is A132350. Cf. A000005, A000961, A001221, A001222, A001597, A005117, A007916, A008683, A091050, A126706, A303554, A304326, A304362, A304779, A304817, A304819. Sequence in context: A267708 A167021 A267687 * A132350 A076213 A120525 Adjacent sequences:  A304650 A304651 A304652 * A304654 A304655 A304656 KEYWORD sign AUTHOR Gus Wiseman, May 18 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 18 02:23 EDT 2019. Contains 328135 sequences. (Running on oeis4.)