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A292875 Expansion of the series reversion of Sum_{k>=1} x^k*k*Product_{p|k, p prime} (1 + 1/p). 1
1, -3, 14, -81, 528, -3708, 27388, -209739, 1650204, -13258230, 108311352, -896946048, 7512187398, -63520243398, 541511083648, -4649182740159, 40163784583752, -348870785898510, 3045109181792304, -26694854975488554, 234936349043049246, -2074958037081265050 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Reversion of g.f. for A001615 (Dedekind psi function).

LINKS

Table of n, a(n) for n=1..22.

N. J. A. Sloane, Transforms

Eric Weisstein's World of Mathematics, Series Reversion

Eric Weisstein's World of Mathematics, Dedekind Function

Index entries for reversions of series

FORMULA

G.f. A(x) satisfies: Sum_{k>=1} A(x)^k*k*Product_{p|k, p prime} (1 + 1/p) = x.

CROSSREFS

Cf. A001615, A050391.

Sequence in context: A256336 A256338 A256331 * A077054 A205580 A032332

Adjacent sequences:  A292872 A292873 A292874 * A292876 A292877 A292878

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Sep 25 2017

STATUS

approved

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Last modified April 25 13:31 EDT 2019. Contains 322461 sequences. (Running on oeis4.)