A373459 Expansion of Sum_{p prime} x^p/(1 - (p*x)^p).

0, 1, 1, 4, 1, 43, 1, 64, 729, 3381, 1, 20707, 1, 827639, 10297066, 16384, 1, 14414443, 1, 30517840269, 678610493338, 285312719187, 1, 10464547507, 95367431640625, 302875123369469, 282429536481, 558545864150392871, 1, 298030849742873568, 1, 1073741824

Offset

1,4

Links

Table of n, a(n) for n=1..32.

Formula

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

If p is prime, a(p) = 1.

Prog

(PARI) a(n) = sumdiv(n, d, isprime(d)*d^(n-d));

Crossrefs

Cf. A200768, A373458.

Sequence in context: A193962 A369868 A302441 * A269906 A092667 A060627

Adjacent sequences: A373455 A373456 A373458 * A373460 A373461 A373462

Keyword

nonn,easy

Author

Seiichi Manyama, Jun 06 2024

Status

approved