[seqfan] Re: A140870 & A050216

franktaw at netscape.net franktaw at netscape.net
Fri Nov 13 04:15:00 CET 2009


Arguably, A140870 is the more correct version; it includes the two 
primes before p(1)^2.  Thus A000879 is the cumulative sums of A140870, 
and not of A050216.

I would be inclined to add the initial 2 to A050216, change the offset 
to 0, and add a comment explaining what a(0) means.  Then A140870 can 
be removed.  The crossref in A000879 can be changed to: cumulative sums 
of A050216.

Franklin T. Adams-Watters

-----Original Message-----
From: zak seidov <zakseidov at yahoo.com>

Isn't A140870
a wrong version (extra initial 2)
of A050216?

Zak

A140870  Number of primes in intervals p(n)^2, where p(n)=n-th prime.
2, 2, 5, 6, 15, 9, 22, 11, 27, 47, 16, 57, 44, 20, 74, 52, 78, 32, 90, 
66, 30
A050216  Number of primes between (prime(n))^2 and (prime(n+1))^2.
2, 5, 6, 15, 9, 22, 11, 27, 47, 16, 57, 44, 20, 46, 80, 78, 32, 90, 66, 
30




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