Timeline for On the polynomials $\sum_{k=0}^n\binom{n+k}k^m q^k$
Current License: CC BY-SA 4.0
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| Sep 21 at 6:18 | comment | added | Zhi-Wei Sun | Recall that those numbers $f_n=\sum_{k=0}^n\binom nk^3\ (n\in\mathbb N)$ are called Franel numbers. Define $f_n(q)=\sum_{k=0}^n\binom nk^3 q^k$ for $n\in\mathbb N$. I also conjecture that the polynomial sequence $(f_n(q))_{n\ge8}$ is $q$-log-convex. | |
| Sep 21 at 6:12 | history | edited | Zhi-Wei Sun | CC BY-SA 4.0 |
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| Sep 21 at 6:11 | comment | added | Zhi-Wei Sun | Yes, that's a typo. I have corrected it. | |
| Sep 21 at 5:56 | comment | added | Daniel Weber | Is "conconvex" a typo? | |
| Sep 21 at 3:26 | history | asked | Zhi-Wei Sun | CC BY-SA 4.0 |