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A050391 Reversion of Euler totient function A000010. 3

%I #17 Apr 22 2020 07:59:25

%S 1,-1,0,3,-8,12,-6,-37,208,-730,1708,-1278,-10018,56782,-163644,

%T 229985,389830,-3724538,13460550,-28799694,12470564,205544596,

%U -1084748334,3195484242,-4851317704,-7421547798,81343472008

%N Reversion of Euler totient function A000010.

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

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

%F G.f. A(x) satisfies: A(x) = x - Sum_{k>=2} phi(k) * A(x)^k. - _Ilya Gutkovskiy_, Apr 22 2020

%o (PARI) Vec(serreverse(sum(n=1, 50, moebius(n)*x^n/(1-x^n)^2 + O(x^50)))) \\ _Michel Marcus_, Sep 25 2017

%Y Cf. A000010, A050392.

%K sign

%O 1,4

%A _Christian G. Bower_, Nov 15 1999

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Last modified July 19 19:50 EDT 2024. Contains 374436 sequences. (Running on oeis4.)