[seqfan] Re: help need with some Ramanujan identities

[Hugo Pfoertner]

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
>
>