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From: lindley@ut-ngp.UUCP (John L. Templer)
Newsgroups: net.math
Subject: Re: Self-generating power series?
Message-ID: <1263@ut-ngp.UUCP>
Date: Thu, 31-Jan-85 16:19:16 EST
Article-I.D.: ut-ngp.1263
Posted: Thu Jan 31 16:19:16 1985
Date-Received: Sat, 2-Feb-85 11:28:26 EST
References: <1155@ihuxi.UUCP>
Organization: U.Texas Physics Department; Austin, Texas
Lines: 30

> Can anyone find a (nontrivial) power series that, evaluated over the
> nonnegative integers, gives its own coefficients? That is,
> 
>                    oo        n
>                   ---  A  * x
>                   \     n
>         P(x)  =   /    -------    =  A    for  n >= 0
>                   ---    n!           n
>                   k=0
> 
> 				Chris Scussel
> 				AT&T Bell Labs
> 				ihnp4!ihuxi!trough

Surely you mean P(n)=, as in:
                   oo        n
                  ---  A  * x
                  \     n
        P(n)  =   /    -------    =  A    for  n >= 0
                  ---    n!           n
                  k=0

-- 

                                           John L. Templer
                                     University of Texas at Austin

    {allegra,gatech,seismo!ut-sally,vortex}!ut-ngp!lindley

                 "and they called it, yuppy love."