Timeline for Remarkable recursions for the A204262
Current License: CC BY-SA 4.0
10 events
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| Jul 12, 2023 at 15:45 | comment | added | Max Alekseyev | The OP failed to mention that the polynomials $f_{n,\ell}(x)$ were originally defined as permanents in the discussion at dxdy.ru, from which their recurrence followed. You have essentially reverse-engineered that definition. Nice job nevertheless! | |
| Jul 12, 2023 at 13:03 | comment | added | Notamathematician | Thank you for answer! If we take $s_{n,\ell,m}(x)=t_{n,\ell,m}(x)+s_{n,\ell-1,m}(m-\ell+1)-t_{n,\ell,m}(m-\ell+1), t_{n,\ell,m}(x)=\int (n-\ell)^2 s_{n-1,\ell,m}(x)\,dx, s_{n,0,m}(x)=n!x^n$, then $s_{n,n,n}(0)$ is A204264. Is it possible to get something like $R(n,q)$ here? | |
| Jul 12, 2023 at 11:59 | vote | accept | Notamathematician | ||
| Jul 12, 2023 at 0:22 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Jul 12, 2023 at 0:06 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Jul 11, 2023 at 22:28 | history | edited | LSpice | CC BY-SA 4.0 |
`\tag`+`\label`+`\eqref`
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| Jul 11, 2023 at 21:53 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Jul 11, 2023 at 21:37 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Jul 11, 2023 at 21:28 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Jul 11, 2023 at 21:22 | history | answered | Terry Tao | CC BY-SA 4.0 |