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From: pumphrey@ttidcb.UUCP (Larry Pumphrey)
Newsgroups: net.math,net.physics,net.puzzle
Subject: Re: summation in closed form
Message-ID: <560@ttidcb.UUCP>
Date: Tue, 3-Dec-85 09:04:29 EST
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Posted: Tue Dec  3 09:04:29 1985
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> For k>=0, let a(k) be  2^k / k  (one over k, times the kth power of 2).
> Can you find the sum of a(k) as k ranges from 1 to n as a closed formula
> in n?

> I suspect not, but cannot yet find a way to show that it is impossible.

  I suspect so,  how about

		k=n    2^k          (n+2)
	f(n) = sigma  -----  =  2 - -----
		k=0     k            2^n