A080304 Numerator of n^mu(n), where mu is the Moebius function (A008683).

1, 1, 1, 1, 1, 6, 1, 1, 1, 10, 1, 1, 1, 14, 15, 1, 1, 1, 1, 1, 21, 22, 1, 1, 1, 26, 1, 1, 1, 1, 1, 1, 33, 34, 35, 1, 1, 38, 39, 1, 1, 1, 1, 1, 1, 46, 1, 1, 1, 1, 51, 1, 1, 1, 55, 1, 57, 58, 1, 1, 1, 62, 1, 1, 65, 1, 1, 1, 69, 1, 1, 1, 1, 74, 1, 1, 77, 1, 1, 1, 1, 82, 1, 1, 85, 86, 87, 1, 1, 1, 91, 1

Offset

1,6

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Formula

a(n) = if mu(n)>0 then n else 1.

Prog

(PARI) A080304(n) = numerator(n^moebius(n)); \\ Antti Karttunen, Aug 06 2018

Crossrefs

Denominator: A080305. Cf. A080306, A080326, A166142.

Sequence in context: A308135 A072815 A348979 * A340677 A340679 A166142

Adjacent sequences: A080301 A080302 A080303 * A080305 A080306 A080307

Keyword

nonn,frac

Author

Reinhard Zumkeller, Feb 13 2003

Status

approved