A367510 a(n) = Sum_{d|n} (n*d+1)^n.

2, 34, 1064, 90707, 11889152, 2617716748, 781252097152, 320058240313028, 167630129865661440, 110581271670766466804, 89116503268963605948416, 86403662577880534613564934, 99045780329060163714773254144

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Formula

a(n) = Sum_{k=0..n} n^k * binomial(n,k) * sigma_k(n).

Mathematica

Table[Total[(n*Divisors[n]+1)^n], {n, 20}] (* Harvey P. Dale, Feb 06 2024 *)

Prog

(PARI) a(n) = sumdiv(n, d, (n*d+1)^n);

Crossrefs

Cf. A163190, A367509.

Sequence in context: A224882 A227935 A264669 * A187546 A195005 A215957

Adjacent sequences: A367507 A367508 A367509 * A367511 A367512 A367513

Keyword

nonn

Author

Seiichi Manyama, Nov 21 2023

Status

approved