A308814 - OEIS

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A308814

a(n) = Sum_{d|n} n^(d-1).

6

1, 3, 10, 69, 626, 7819, 117650, 2097673, 43046803, 1000010011, 25937424602, 743008621405, 23298085122482, 793714780783695, 29192926025441476, 1152921504875286545, 48661191875666868482, 2185911559749718382455, 104127350297911241532842, 5242880000000512000168021

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

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

FORMULA

a(n) = A308813(n,n).

a(n) = A066108(n)/n.

a(n) ~ n^(n-1). - Vaclav Kotesovec, Jun 05 2021

MATHEMATICA

Table[Total[n^(Divisors[n]-1)], {n, 20}] (* Harvey P. Dale, Aug 08 2019 *)

PROG

(PARI) {a(n) = sumdiv(n, d, n^(d-1))}

CROSSREFS

Cf. A066108, A082245, A262843, A308813.

Sequence in context: A262843 A080526 A359701 * A342629 A232213 A143083

Adjacent sequences: A308811 A308812 A308813 * A308815 A308816 A308817

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jun 26 2019

STATUS

approved