A050388 - OEIS

%I #15 Nov 11 2017 08:04:18

%S 1,1,4,24,206,2260,30332,480902,8797200,182371078,4225266662,

%T 108194123116,3034250312354,92491819230694,3044898092216786,

%U 107664237385304338,4069395031874875828,163733361626947740668

%N Exponential reversion of Liouville's lambda function A008836.

%H Vaclav Kotesovec, <a href="/A050388/b050388.txt">Table of n, a(n) for n = 1..390</a>

%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 From _Vaclav Kotesovec_, Nov 11 2017: (Start)

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

%F d = 0.8970251053152248716710454143898502547333142678...

%F c = 0.5166239012540605776842881782718271800954906... (End)

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

%Y Cf. A050387.

%K nonn

%O 1,3

%A _Christian G. Bower_, Nov 15 1999