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

%I #5 Sep 26 2017 08:22:49

%S 1,-3,14,-81,528,-3708,27388,-209739,1650204,-13258230,108311352,

%T -896946048,7512187398,-63520243398,541511083648,-4649182740159,

%U 40163784583752,-348870785898510,3045109181792304,-26694854975488554,234936349043049246,-2074958037081265050

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

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

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SeriesReversion.html">Series Reversion</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DedekindFunction.html">Dedekind Function</a>

%H <a href="/index/Res#revert">Index entries for reversions of series</a>

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

%Y Cf. A001615, A050391.

%K sign

%O 1,2

%A _Ilya Gutkovskiy_, Sep 25 2017