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<DIV><FONT face=Arial size=2>It is interesting that the comment in sequence
A072916 explicitly states, "First 12 Floor[Prime[m]/m]'s are: 2, 1, 1, 1, 2, 2,
2, 2, 2, 2, 2, 3 Remove first term and count ones, twos etc and get the
sequence: 3,7,19.." so I wonder: why remove the first term? Is this
sequence looking for the largest number of *consecutive* n's for each
n? If so, then other elements besides just the first must also be removed,
and the sequence becomes 3, 7, 19, 38, 108, 253, 609, ...</FONT></DIV>
<DIV><FONT face=Arial size=2>--Graeme</FONT></DIV>
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<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black"><B>From:</B>
<A title=davidwwilson@comcast.net href="mailto:davidwwilson@comcast.net">David
Wilson</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A title=vladeta@EUnet.yu
href="mailto:vladeta@EUnet.yu">Vladeta Jovovic</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Cc:</B> <A title=seqfan@ext.jussieu.fr
href="mailto:seqfan@ext.jussieu.fr">Sequence Fans</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Wednesday, September 14, 2005 11:50
AM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> A072916 needs correction</DIV>
<DIV><BR></DIV>
<DIV><FONT face="Times New Roman" size=2>I submitted the new sequence A112547,
in which a(n) counts the k with floor(p(k)/k) = n.</FONT></DIV>
<DIV><FONT face="Times New Roman" size=2></FONT> </DIV>
<DIV><FONT face="Times New Roman" size=2>For n = 2, there are 8 primes p(k)
with floor(p(k)/k) = 2, namely 2,</FONT><FONT face="Times New Roman"
size=2>11,13,17,19,23,29,31. For some inexplicable reason, A072916 does
not count 2 among the primes, which would give a(2) = 8 instead of a(2) =
7.</FONT></DIV>
<DIV><FONT face="Times New Roman" size=2></FONT> </DIV>
<DIV><FONT face="Times New Roman" size=2>Because of this error, I did not
find </FONT><FONT face="Times New Roman" size=2>A072916 when I looked up
3,8,19,41,... Had I found it, I would have extended it rather than
creating A112547.</FONT></DIV>
<DIV><FONT face="Times New Roman" size=2></FONT> </DIV>
<DIV><FONT face="Times New Roman" size=2>I propose that A072916(2) be changed
to 8 and the comments accordingly fixed to include 2 as a prime, which it
is.</FONT></DIV>
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<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black"><B>From:</B>
<A title=vladeta@EUnet.yu href="mailto:vladeta@EUnet.yu">Vladeta Jovovic</A>
</DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A title=davidwwilson@comcast.net
href="mailto:davidwwilson@comcast.net">davidwwilson@comcast.net</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Wednesday, September 14, 2005
12:17 PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> A112547</DIV>
<DIV><BR></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Already in the OEIS as A072916.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Best regards,</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Vladeta
Jovovic</FONT></DIV></BLOCKQUOTE></BLOCKQUOTE></BODY></HTML>