A343425 - OEIS

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A343425

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

1, 1, 5, 44, 474, 6259, 98398, 1801784, 37726398, 889909001, 23363492888, 675898131588, 21367308429609, 732952005073611, 27116443849927291, 1076343749563379984, 45629840631648951966, 2057705657634136459302, 98357762859847238180913

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OFFSET

1,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..387

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A292524, A344431, A344432, A344433.

Sequence in context: A222508 A220841 A366924 * A054766 A369216 A252830

Adjacent sequences: A343422 A343423 A343424 * A343426 A343427 A343428

KEYWORD

nonn

AUTHOR

Seiichi Manyama, May 19 2021

STATUS

approved