Timeline for Closed form for $\sum_{n=1}^\infty \frac{4^n}{n^p\binom{2n}{n}}$

15 events

when toggle format	what		by	license	comment
Jun 30, 2019 at 15:18	comment	added	Tito Piezas III		You may like this related post.
Jun 3, 2019 at 15:57	history	edited	Robert Z	CC BY-SA 4.0	added 1 character in body
Jun 3, 2019 at 15:51	history	edited	Robert Z	CC BY-SA 4.0	added 154 characters in body
Jun 3, 2019 at 15:16	history	edited	Robert Z	CC BY-SA 4.0	deleted 25 characters in body
Jun 3, 2019 at 13:48	history	edited	Robert Z	CC BY-SA 4.0	deleted 98 characters in body
Jun 3, 2019 at 12:57	history	edited	Robert Z	CC BY-SA 4.0	deleted 41 characters in body
Jun 3, 2019 at 12:24	comment	added	Robert Z		So we have some kind of closed form. See my edit.
Jun 3, 2019 at 12:19	history	edited	Robert Z	CC BY-SA 4.0	added 413 characters in body
Jun 3, 2019 at 11:51	comment	added	Zacky		For $p=4$ we easily get $$\sum_{n=1}^\infty \frac{4^n}{n^4\binom{2n}{n}}=-8\int_0^\frac{\pi}{2} x\ln^2(\sin x)dx$$ So I can bet there will be a closed form.
Jun 3, 2019 at 11:29	history	edited	Robert Z	CC BY-SA 4.0	added 148 characters in body
Jun 3, 2019 at 11:23	history	edited	Robert Z	CC BY-SA 4.0	added 240 characters in body
Jun 3, 2019 at 11:06	comment	added	Claude Leibovici		Thanks for the link and $\to +1$
Jun 3, 2019 at 11:04	history	edited	Robert Z	CC BY-SA 4.0	added 183 characters in body
Jun 3, 2019 at 10:56	history	edited	Robert Z	CC BY-SA 4.0	added 10 characters in body
Jun 3, 2019 at 10:50	history	answered	Robert Z	CC BY-SA 4.0