A292875 Expansion of the series reversion of Sum_{k>=1} x^k*k*Product_{p|k, p prime} (1 + 1/p).

1, -3, 14, -81, 528, -3708, 27388, -209739, 1650204, -13258230, 108311352, -896946048, 7512187398, -63520243398, 541511083648, -4649182740159, 40163784583752, -348870785898510, 3045109181792304, -26694854975488554, 234936349043049246, -2074958037081265050

Offset: 1

Author

Ilya Gutkovskiy, Sep 25 2017

Keywords

• sign

Comments

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

Links

• 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

Crossrefs

Cf. A001615, A050391.

Formula

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