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A174476
a(n) = Sum_{d|n} d^phi(d).
2
1, 3, 10, 19, 626, 48, 117650, 4115, 531451, 10628, 25937424602, 20800, 23298085122482, 7647188, 2562891260, 4294971411, 48661191875666868482, 34543713, 104127350297911241532842, 25600010644, 7355827511504300
OFFSET
1,2
COMMENTS
phi(n) = A000010(n) = Euler totient function of n.
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).
Cf. A344484.
Sequence in context: A027177 A048343 A056789 * A098645 A089693 A194116
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 04 2010
STATUS
approved