A050387 Reversion of Liouville's lambda function A008836.

1, 1, 3, 9, 33, 125, 503, 2083, 8867, 38477, 169711, 758369, 3426415, 15625647, 71831229, 332509595, 1548599571, 7251200053, 34116127377, 161202535685, 764648531325, 3639748179089, 17380544553713, 83237451101609

Offset

1,3

Links

David W. Wilson, Table of n, a(n) for n = 1..1000

N. J. A. Sloane, Transforms

Index entries for reversions of series

Formula

a(n) ~ c * d^n / n^(3/2), where d = 5.108713688378203548063015568224126193350704188307969721260797356... and c = 0.096314385102371009000715233605447316121735271667339677314... - Vaclav Kotesovec, Nov 11 2017

Mathematica

nmax = 30; Rest[CoefficientList[InverseSeries[Series[Sum[LiouvilleLambda[n]*x^n, {n, 1, nmax}], {x, 0, nmax}]], x]] (* Vaclav Kotesovec, Nov 11 2017 *)

Crossrefs

Cf. A050388.

Sequence in context: A372530 A049168 A049171 * A049157 A138178 A063027

Adjacent sequences: A050384 A050385 A050386 * A050388 A050389 A050390

Keyword

nonn

Author

Christian G. Bower, Nov 15 1999

Status

approved