Re: Sum[1/(n^2 +n+1)^2,{n,1,p}]
- To: mathgroup at smc.vnet.net
- Subject: [mg8428] Re: [mg8344] Sum[1/(n^2 +n+1)^2,{n,1,p}]
- From: seanross at worldnet.att.net
- Date: Sat, 30 Aug 1997 00:42:37 -0400
- Sender: owner-wri-mathgroup at wolfram.com
w.meeussen wrote:
>
> a small request to those having Mma 3.0.1. :
>
> in my Mma 3.0.0. (Win'95)
> the symbolic sum
> Sum[1/(n^2 +n+1)^2,{n,1,p}]
> works out to a v e r y impressive symbolic expression.
>
> But, setting p->1 or (any other integer) on the result yields no numeric output,
> although it obviously should.
>
> How about the new release?
>
> wouter.
>
> Dr. Wouter L. J. MEEUSSEN
> eu000949 at pophost.eunet.be
> w.meeussen.vdmcc at vandemoortele.be
On my Win95 pentium with Mma 3.0.1,
Sum[1/(n^2 + n +1),{n,1,p}] returns a sum in terms of Polygamma and Tanh
functions.
Sum[1/(n^2 + n +1),{n,1,3}] returns a fraction 151/273.
Sum[1/(n^2 + n +1)^2,{n,1,p}] returns a huge symbolic solution in terms
of LerchPhi and Zeta functions.
Sum[1/(n^2 + n +1)^2,{n,1,3}] returns a fraction
10243/74529.
Sorry about the bug. I was told that there is a patch for Mma 3.0.0 by
the folks at Wolfram. You'll need to call them up to get it. I hope it
fixes the problem. Have you tried N[Sum[...?