[seqfan] Re: help need with some Ramanujan identities

[Hugo Pfoertner]

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