A365648 - OEIS

A365648

Dirichlet convolution of sigma with reduced totient function.

1, 4, 6, 12, 10, 24, 14, 30, 27, 40, 22, 70, 26, 56, 56, 70, 34, 108, 38, 116, 78, 88, 46, 172, 75, 104, 108, 162, 58, 224, 62, 158, 122, 136, 128, 310, 74, 152, 144, 284, 82, 312, 86, 254, 242, 184, 94, 396, 147, 300, 188, 300, 106, 432, 200, 396, 210, 232, 118

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..59.

FORMULA

a(n) = Sum{d|n} A000203(d) * A002322(n/d).

a(p) = A365647(p) where p is a term of A000040.

MATHEMATICA

Table[DirichletConvolve[DivisorSigma[1, k], CarmichaelLambda[k], k, n], {n, 1, 100}] (* Amiram Eldar, Sep 15 2023 *)

PROG

(Python)