Timeline for Do identities exist for the binomial series $\sum_{k=m+1}^{n+1} \binom{k}{m} \binom{n+1}{k-1} $?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 19, 2020 at 16:52 | vote | accept | Max Lonysa Muller | ||
| Sep 19, 2020 at 16:00 | comment | added | Random | Indeed as you can see from Mark's comment, the "unnatural" bounds obscured the fact that the answer has only small prime factors. | |
| Sep 19, 2020 at 15:57 | comment | added | Random | @Max Muller Technically, I am summing over $k$ between $m$ and $n+2$. I prefer to sum over all integer $k$ and just say that the binomial coefficient ${a \choose b}$ vanishes if $b > a$ or $b < 0$. I find that summing over all integers gives more natural looking results. | |
| Sep 19, 2020 at 15:22 | comment | added | Max Lonysa Muller | @Random thank you! When you write $\sum_{k}$, could you please indicate what you mean by that? What exactly are the lower and upper bounds of such a sum? | |
| Sep 19, 2020 at 14:52 | comment | added | Mark Wildon | Nice. I had wrongly thought that nothing could be done with this type of sum. | |
| Sep 19, 2020 at 13:43 | history | answered | Random | CC BY-SA 4.0 |