A377672 a(n) is the number of divisors of n^n + n.

2, 4, 8, 12, 8, 32, 48, 48, 12, 128, 16, 24, 16, 256, 64, 80, 32, 96, 1536, 96, 64, 1024, 64, 96, 96, 512, 512, 3072, 64, 128, 2048, 384, 128, 8192, 128, 1152, 256, 128, 32, 2048, 128, 128, 6144, 288, 768, 262144, 64, 480, 1536, 1536, 2048, 3072, 1024, 1024

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..116

Formula

a(n) = A000005(A066068(n)).

Mathematica

a[n_] := DivisorSigma[0, n^n + n]; Array[a, 45] (* Amiram Eldar, Nov 04 2024 *)

Prog

(PARI) a(n) = numdiv(n^n+n);

Crossrefs

Cf. A000005, A066068, A344859, A372228, A372546, A377671, A377673, A377674.

Sequence in context: A337181 A357806 A051165 * A009664 A009507 A064657

Adjacent sequences: A377669 A377670 A377671 * A377673 A377674 A377675

Keyword

nonn

Author

Sean A. Irvine, Nov 03 2024

Status

approved