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A080305 Denominator of n^mu(n), where mu is the Moebius function (A008683). 8
1, 2, 3, 1, 5, 1, 7, 1, 1, 1, 11, 1, 13, 1, 1, 1, 17, 1, 19, 1, 1, 1, 23, 1, 1, 1, 1, 1, 29, 30, 31, 1, 1, 1, 1, 1, 37, 1, 1, 1, 41, 42, 43, 1, 1, 1, 47, 1, 1, 1, 1, 1, 53, 1, 1, 1, 1, 1, 59, 1, 61, 1, 1, 1, 1, 66, 67, 1, 1, 70, 71, 1, 73, 1, 1, 1, 1, 78, 79, 1, 1, 1, 83, 1, 1, 1, 1, 1, 89, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

a(n) = if mu(n)<0 then n else 1, where mu is Moebius mu function (A008683).

PROG

(PARI) A080305(n) = denominator(n^moebius(n)); \\ Antti Karttunen, Aug 06 2018

CROSSREFS

Cf. A008683.

Numerator: A080304, A080306, A034386.

Sequence in context: A227643 A249386 A089026 * A220137 A053815 A194446

Adjacent sequences:  A080302 A080303 A080304 * A080306 A080307 A080308

KEYWORD

nonn,frac

AUTHOR

Reinhard Zumkeller, Feb 13 2003

STATUS

approved

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Last modified August 18 01:39 EDT 2019. Contains 326059 sequences. (Running on oeis4.)