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A174476 a(n) = Sum_{d|n} d^phi(d). 1
1, 3, 10, 19, 626, 48, 117650, 4115, 531451, 10628, 25937424602, 20800, 23298085122482, 7647188, 2562891260, 4294971411, 48661191875666868482, 34543713, 104127350297911241532842, 25600010644, 7355827511504300 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

phi(n) = A000010(n) = Euler totient function of n.

LINKS

Table of n, a(n) for n=1..21.

FORMULA

Logarithmic derivative of A174475.

MATHEMATICA

dph[n_]:=Module[{divs=Divisors[n]}, Total[divs^EulerPhi[divs]]]; Array[ dph, 30] (* Harvey P. Dale, Oct 05 2014 *)

PROG

(PARI) {a(n)=sumdiv(n, d, d^eulerphi(d))}

CROSSREFS

Cf. A174475, A000010 (phi).

Sequence in context: A027177 A048343 A056789 * A098645 A089693 A194116

Adjacent sequences:  A174473 A174474 A174475 * A174477 A174478 A174479

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Apr 04 2010

STATUS

approved

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Last modified June 16 04:54 EDT 2019. Contains 324145 sequences. (Running on oeis4.)