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A336279
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a(n) = Sum_{k=1..n} mu(k)*k^5.
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4
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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
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OFFSET
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1,2
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COMMENTS
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Conjecture: a(n) changes sign infinitely often.
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LINKS
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Seiichi Manyama, Table of n, a(n) for n = 1..10000
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MATHEMATICA
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Array[Sum[MoebiusMu[k]*k^5, {k, #}] &, 32] (* Michael De Vlieger, Jul 15 2020 *)
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PROG
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(PARI) a(n) = sum(k=1, n, moebius(k)*k^5); \\ Michel Marcus, Jul 15 2020
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CROSSREFS
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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
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KEYWORD
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easy,sign
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AUTHOR
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Donald S. McDonald, Jul 15 2020
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STATUS
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approved
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