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From: egs@epsilon.UUCP (Ed Sheppard)
Newsgroups: net.math
Subject: Re: Another head scratcher, and solution to the last one.
Message-ID: <61@epsilon.UUCP>
Date: Wed, 29-May-85 13:44:18 EDT
Article-I.D.: epsilon.61
Posted: Wed May 29 13:44:18 1985
Date-Received: Thu, 30-May-85 06:00:14 EDT
References: <7560@ucbvax.ARPA>
Organization: BELLCORE, Livingston, NJ
Lines: 16

How about
                 _
                |
                |   1    if i=2^j-1  for some j in N
         a[i] = |
                |   0    otherwise
                |_

so that the sequence a looks like this

	1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, ...

The sum of a[i] diverges, but the sum of a[i]/(1+i*a[i]) is 2.

					Ed Sheppard
					Bellcore