A050388 Exponential reversion of Liouville's lambda function A008836.

1, 1, 4, 24, 206, 2260, 30332, 480902, 8797200, 182371078, 4225266662, 108194123116, 3034250312354, 92491819230694, 3044898092216786, 107664237385304338, 4069395031874875828, 163733361626947740668

Offset

1,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 1..390

N. J. A. Sloane, Transforms

Index entries for reversions of series

Formula

From Vaclav Kotesovec, Nov 11 2017: (Start)

a(n) ~ c * d^n * n^(n-1), where

d = 0.8970251053152248716710454143898502547333142678...

c = 0.5166239012540605776842881782718271800954906... (End)

Mathematica

length = 20; Range[length]! InverseSeries[Sum[LiouvilleLambda[n] x^n/n!, {n, 1, length}] + O[x]^(length+1)][[3]] (* Vladimir Reshetnikov, Nov 07 2015 *)

Crossrefs

Cf. A050387.

Sequence in context: A342168 A240429 A240297 * A241980 A368267 A297218

Adjacent sequences: A050385 A050386 A050387 * A050389 A050390 A050391

Keyword

nonn

Author

Christian G. Bower, Nov 15 1999

Status

approved