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A344429 a(n) = Sum_{k=1..n} mu(k) * k^n. 2
1, -3, -34, -96, -3399, 30239, -624046, -4482626, -32249230, 9768165230, -186975207617, -2150337557747, -327482869358214, 6894274639051756, 539094536846680025, 8044964790023844733, -707278869236116107432, -12275330572755863672628, -2190860499375418948848067 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..386

MATHEMATICA

a[n_] := Sum[MoebiusMu[k] * k^n, {k, 1, n}]; Array[a, 20] (* Amiram Eldar, May 19 2021 *)

PROG

(PARI) a(n) = sum(k=1, n, moebius(k)*k^n);

CROSSREFS

Cf. A002321, A008683, A031971, A068340, A321222, A332468, A336276, A336277, A336278, A336279, A344430.

Sequence in context: A344641 A086488 A195021 * A274871 A042041 A180775

Adjacent sequences:  A344426 A344427 A344428 * A344430 A344431 A344432

KEYWORD

sign

AUTHOR

Seiichi Manyama, May 19 2021

STATUS

approved

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Last modified July 2 09:32 EDT 2022. Contains 354999 sequences. (Running on oeis4.)