A072916 needs correction

[Graeme McRae]

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, ...
--Graeme
  ----- Original Message ----- 
  From: David Wilson 
  To: Vladeta Jovovic 
  Cc: Sequence Fans 
  Sent: Wednesday, September 14, 2005 11:50 AM
  Subject: A072916 needs correction


  I submitted the new sequence A112547, in which a(n) counts the k with floor(p(k)/k) = n.

  For n = 2, there are 8 primes p(k) with floor(p(k)/k) = 2, namely 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.

  Because of this error, I did not find A072916 when I looked up 3,8,19,41,...  Had I found it, I would have extended it rather than creating A112547.

  I propose that A072916(2) be changed to 8 and the comments accordingly fixed to include 2 as a prime, which it is.
    ----- Original Message ----- 
    From: Vladeta Jovovic 
    To: davidwwilson at comcast.net 
    Sent: Wednesday, September 14, 2005 12:17 PM
    Subject: A112547



    Already in the OEIS as A072916.

    Best regards,

    Vladeta Jovovic
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