[seqfan] Re: help need with some Ramanujan identities

[Neil Sloane]

Good question!  I guess I would be slightly in favor of merging the entries.

But of course you should only say that after computing the sum of ...
terms, it *appears* that ...


Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Fri, Aug 31, 2018 at 4:26 AM Hugo Pfoertner <yae9911 at gmail.com> wrote:

> Having seen Giovanni Resta's numerical results, summing 7.5*10^11 terms,
> one may really ask if https://oeis.org/A318590 = https://oeis.org/A222068
> and if therefore A318590 should be merged into A222068.
>
> On Wed, Aug 29, 2018 at 9:26 PM Hugo Pfoertner <yae9911 at gmail.com> wrote:
>
> > After summing 10^7 terms, I get 0.61685(016), which is a strange
> > coincidence with https://oeis.org/A222068 (Pi/4)^2=0.616850275...
> >
> > On Wed, Aug 29, 2018 at 8:21 PM Hugo Pfoertner <yae9911 at gmail.com>
> wrote:
> >
> >> To continue with Ramanujan's questions: Question 770 dealing with
> >> alternating sums of d(n)=A000005 is said to have been solved in two
> >> articles in the Journal of the Indian Mathematical Society. Ramanujan
> had
> >> asked to show that the infinite
> >> sum d(1) - d(3)/3+ d(5)/5 - d(7)/7 + d(9)/9 - ... is a convergent
> series.
> >> Does somebody have access to the articles or knows about a closed form
> >> solution? From a stupid summation of 2*10^6 terms I get for the sum:
> >> 0.61684.., which is not in the OEIS, so I created the draft
> >> https://oeis.org/draft/A318590
> >>
> >> Hugo Pfoertner
> >>
> >>
>
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