A050391 Reversion of Euler totient function A000010.

1, -1, 0, 3, -8, 12, -6, -37, 208, -730, 1708, -1278, -10018, 56782, -163644, 229985, 389830, -3724538, 13460550, -28799694, 12470564, 205544596, -1084748334, 3195484242, -4851317704, -7421547798, 81343472008

Offset

1,4

Links

Table of n, a(n) for n=1..27.

N. J. A. Sloane, Transforms

Index entries for reversions of series

Formula

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

Prog

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

Crossrefs

Cf. A000010, A050392.

Sequence in context: A170901 A201882 A356865 * A360572 A360937 A361044

Adjacent sequences: A050388 A050389 A050390 * A050392 A050393 A050394

Keyword

sign

Author

Christian G. Bower, Nov 15 1999

Status

approved