simon.plouffe@gmail.com | My Groups | Help | Sign out
Go to Google Groups Home   
Web    Images    Groups    News    Froogle    Local    Desktop    more »
  Advanced Groups Search
  Preferences
net.math > Another head scratcher, and solution to the last one.
Fixed font - Proportional font
Ed Sheppard   May 29 1985, 1:44 pm     show options
Newsgroups: net.math
From: e...@epsilon.UUCP (Ed Sheppard) - Find messages by this author
Date: Wed, 29-May-85 13:44:18 EDT
Local: Wed,May 29 1985 1:44 pm
Subject: Re: Another head scratcher, and solution to the last one.
Reply to Author | Forward | Print | View Thread | Show original | Report Abuse

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

Google Home - Terms of Use - Privacy Policy - Jobs, Press, & Help

©2005 Google