A344430 - OEIS

A344430

a(n) = Sum_{k=1..n} mu(k) * k^k.

1, -3, -30, -30, -3155, 43501, -780042, -780042, -780042, 9999219958, -275312450653, -275312450653, -303150419042906, 10808856406515110, 448702746787374485, 448702746787374485, -826791559139549389692, -826791559139549389692

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..18.

MATHEMATICA

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

Accumulate[Table[MoebiusMu[n]n^n, {n, 20}]] (* Harvey P. Dale, Jan 25 2022 *)

PROG

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

(Python)

from sympy import mobius

def A344430(n): return sum(mobius(k)*k**k for k in range(1, n+1)) # Chai Wah Wu, Apr 05 2023

CROSSREFS

Cf. A001923, A002321, A008683, A307653, A336276, A336277, A336278, A336279, A344429.

Sequence in context: A118219 A186681 A295430 * A217395 A077679 A045863

Adjacent sequences: A344427 A344428 A344429 * A344431 A344432 A344433

KEYWORD

sign

AUTHOR

Seiichi Manyama, May 19 2021

STATUS

approved