[seqfan] Re: What is in a name? A161621

Charles Greathouse charles.greathouse at case.edu
Fri Dec 13 22:41:54 CET 2013


In this case I would discard the old name entirely, since these are simply
different wordings. When the definitions are not obviously equivalent I do
preserve it as a comment.

Of the three I prefer the first, though the third has the advantage of
showing the similarity between the arguments. If you have no preference go
with the first (though maybe add A038107 to the xrefs).

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Fri, Dec 13, 2013 at 10:02 AM, John W. Nicholson
<reddwarf2956 at yahoo.com>wrote:

> Charles,
>
> Looks better, any one of those. Which one is best?
> As for the current title, should it be copied into comments? Or, is it
> worthy of keeping?
>
>
> John W. Nicholson
>
>
>
> On Friday, December 13, 2013 8:43 AM, Charles Greathouse <
> charles.greathouse at case.edu> wrote:
>
> "Numerator of (pi((n+1)^2) - pi(n^2)) / (pi((n+2)^2) - pi(n^2))."
> >
> >"Numerator of (x-y)/(z-y), where x = pi((n+1)^2), y = pi(n^2), and z =
> >pi((n+2)^2)."
> >
> >"Numerator of (b(n+1) - b(n))/(b(n+2) - b(n)), where b(n) = A038107(n) is
> >the number of primes up to n^2."
> >
> >
> >Charles Greathouse
> >Analyst/Programmer
> >Case Western Reserve University
> >
> >
> >
> >On Fri, Dec 13, 2013 at 9:27 AM, John W. Nicholson
> ><reddwarf2956 at yahoo.com>wrote:
> >
> >> I don't know where to start. Can someone simply this title?
> >>
> >> (blue bar)
> >> A161621     Numerators of the ratios (in lowest terms) of numbers of
> >> primes in one square interval to that of the interval and its successor.
> >> The numerators are derived from sequence A014085. The expression is:
> >> R(n)=(PrimePi[(n+1)^2] - PrimePi[n^2])/(PrimePi[(n+2)^2] -
> PrimePi[n^2]);
> >> The first few ratios are: 1/2, 2/5, 3/5, 1/3, 4/7,...
> >> (blue bar ends)
> >>
> >>
> >> John W. Nicholson
> >>
> >> _______________________________________________
> >>
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> >>
> >
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> >
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> >
> >
> >
> >
>
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