series question

*To*: mathgroup at smc.vnet.net*Subject*: [mg70852] series question*From*: "Paul" <paulbird at whsurf.net>*Date*: Sat, 28 Oct 2006 23:39:48 -0400 (EDT)

Given the series transformation: b_n = Sum[ (a_m)^n , m=0..infinity] so for example it transforms a_n=n into b_n=zeta(n) and a_n=n^2+3 into some other series. Is there a reverse transformation that starting with the series b_n you can get back to a_n ?