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A336279 a(n) = Sum_{k=1..n} mu(k)*k^5. 4
1, -31, -274, -274, -3399, 4377, -12430, -12430, -12430, 87570, -73481, -73481, -444774, 93050, 852425, 852425, -567432, -567432, -3043531, -3043531, 1040570, 6194202, -242141, -242141, -242141, 11639235, 11639235, 11639235, -8871914, -33171914, -61801065 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture: a(n) changes sign infinitely often.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

MATHEMATICA

Array[Sum[MoebiusMu[k]*k^5, {k, #}] &, 32] (* Michael De Vlieger, Jul 15 2020 *)

PROG

(PARI) a(n) = sum(k=1, n, moebius(k)*k^5); \\ Michel Marcus, Jul 15 2020

CROSSREFS

Cf. A002321, A068340, A008683, A055615, A070891, A336276, A336277, A336278.

Sequence in context: A126526 A008386 A161558 * A156094 A221430 A115151

Adjacent sequences:  A336276 A336277 A336278 * A336280 A336282 A336283

KEYWORD

easy,sign

AUTHOR

Donald S. McDonald, Jul 15 2020

STATUS

approved

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Last modified February 26 17:04 EST 2021. Contains 341632 sequences. (Running on oeis4.)