A366710 Sum of the divisors of 12^n-1.

12, 168, 1896, 30240, 271464, 4247040, 39156480, 636854400, 5817876000, 72749094432, 852203639280, 15743437516800, 116720110574544, 1518251476008960, 17220536137159296, 292933954031846400, 2420303924088730368, 38936041113123840000, 348523635677043192936

Offset: 1

Author

Sean A. Irvine, Oct 17 2023

Keywords

• nonn

Examples

			a(3)=1896 because 12^3-1 has divisors {1, 11, 157, 1727}.
		

Links

• Max Alekseyev, Table of n, a(n) for n = 1..310

Crossrefs

Cf. A024140, A000203, A366707, A366708, A366709, A366711, A366684.

Programs

Maple

a:=n->numtheory[sigma](12^n-1):
seq(a(n), n=1..100);

Mathematica

DivisorSigma[1, 12^Range[30]-1]

Formula

a(n) = sigma(12^n-1) = A000203(A024140(n)).