A351366 a(n) = Sum_{p|n, p prime} p^p.

0, 4, 27, 4, 3125, 31, 823543, 4, 27, 3129, 285311670611, 31, 302875106592253, 823547, 3152, 4, 827240261886336764177, 31, 1978419655660313589123979, 3129, 823570, 285311670615, 20880467999847912034355032910567, 31, 3125, 302875106592257

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..388

Formula

G.f.: Sum_{k>=1} (prime(k) * x)^prime(k)/(1 - x^prime(k)). - Seiichi Manyama, Mar 02 2022

Example

a(6) = 31; a(6) = Sum_{p|6, p prime} p^p = 2^2 + 3^3 = 31.

Prog

(PARI) my(N=40, x='x+O('x^N)); concat(0, Vec(sum(k=1, N, isprime(k)*(k*x)^k/(1-x^k)))) \\ Seiichi Manyama, Mar 02 2022

Crossrefs

Cf. A001221, A351365.

Sequence in context: A320626 A144990 A102199 * A365636 A345311 A125723

Adjacent sequences: A351363 A351364 A351365 * A351367 A351368 A351369

Keyword

nonn

Author

Wesley Ivan Hurt, Feb 08 2022

Status

approved