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Unknown Sum of Series

• To: mathgroup at smc.vnet.net
• Subject: [mg63473] Unknown Sum of Series
• From: "Klaus G." <Karl_boehme_9 at msn.com>
• Date: Mon, 2 Jan 2006 05:49:06 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Mathematica 5.0 is not able to compute the symbolic sum:

Sum[(-1)^(1 + n)*(E - ( 1 + (1/n))^n ), {n, 1, Infinity}]

However, Nsum[...] results in 0.4456224031968407..

I tried http://oldweb.cecm.sfu.ca/projects/ISC/ to find hidden
constants in that number like Pi or E, but without success.

Any idea?

Klaus G.

• Follow-Ups:
  • Re: Unknown Sum of Series
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: Unknown Sum of Series
    • From: Pratik Desai <pdesai1@umbc.edu>