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A344210 a(n) = Sum_{d|n} mu(n/d) * d^n / phi(n). 1
1, 3, 13, 120, 781, 22932, 137257, 4177920, 64566801, 2497558338, 28531167061, 2228476723200, 25239592216021, 1851888100411464, 54736732481116543, 2305807824841605120, 51702516367896047761, 6557709646516945221396, 109912203092239643840221 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = J_n(n) / phi(n) = A067858(n) / A000010(n).
MATHEMATICA
Table[DivisorSum[n, MoebiusMu[n/#]*#^n/EulerPhi[n]&], {n, 20}] (* Giorgos Kalogeropoulos, May 13 2021 *)
PROG
(PARI) a(n) = sumdiv(n, d, moebius(n/d)*d^n)/eulerphi(n);
CROSSREFS
Main diagonal of A263950.
Sequence in context: A262147 A364327 A057865 * A260847 A121921 A191955
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 12 2021
STATUS
approved

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Last modified July 18 01:34 EDT 2024. Contains 374377 sequences. (Running on oeis4.)