A062819 Inverse Moebius transform of perfect numbers, A000396.

6, 34, 502, 8162, 33550342, 8589869586, 137438691334, 2305843008139960290, 2658455991569831744654692615953842678, 191561942608236107294793378084303638130997321581719586, 13164036458569648337239753460458722910223472318386943117783728134

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..15

N. J. A. Sloane, Transforms.

Formula

a(n) = Sum_{d|n} A000396(d). - Amiram Eldar, Feb 08 2025

Mathematica

a[n_] := DivisorSum[n, PerfectNumber[#] &]; Array[a, 11] (* Amiram Eldar, Feb 08 2025 *)

Crossrefs

Cf. A000396.

Sequence in context: A362627 A284330 A125759 * A230246 A092336 A262104

Adjacent sequences: A062816 A062817 A062818 * A062820 A062821 A062822

Keyword

nonn,changed

Author

Labos Elemer, Jul 20 2001

Extensions

Offset corrected and a(11) added by Amiram Eldar, Feb 08 2025

Status

approved