Timeline for Is this a new Fibonacci Identity? [closed]
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 16, 2019 at 8:35 | review | Reopen votes | |||
| May 16, 2019 at 14:20 | |||||
| Apr 2, 2019 at 20:36 | comment | added | Sam Hopkins | I don't really see why this question should be put on hold. The answer is "no, this identity is not new" but the question itself seems totally legitimate and not obvious. | |
| Apr 2, 2019 at 12:27 | history | closed |
user44191 Stopple Max Alekseyev Zhi-Wei Sun Jan-Christoph Schlage-Puchta |
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| Apr 2, 2019 at 4:07 | answer | added | Alexey Ustinov | timeline score: 13 | |
| Apr 2, 2019 at 2:55 | comment | added | Somos | The identity is with arguments renamed the same as $F_a F_b - F_c F_{a+b-c} = (-1)^{a+1}F_{c-a}F_{b-c}$. Read my essay "In the elliptic realm" to see connection. | |
| Apr 2, 2019 at 1:19 | history | became hot network question | |||
| Apr 2, 2019 at 1:16 | answer | added | Ira Gessel | timeline score: 7 | |
| Apr 2, 2019 at 0:32 | vote | accept | user918212 | ||
| Apr 2, 2019 at 0:08 | answer | added | Cherng-tiao Perng | timeline score: 12 | |
| Apr 1, 2019 at 23:25 | comment | added | user44191 | This is a disguised version of Vajda's identity (with minor amounts of arithmetic for powers of $-1$); try doing variable substitutions to see for yourself. | |
| Apr 1, 2019 at 23:10 | review | Close votes | |||
| Apr 2, 2019 at 12:27 | |||||
| Apr 1, 2019 at 22:52 | comment | added | user44191 | Sorry, I meant 4 variables instead of 5. I'm pretty sure this can be reduced by changes of variables (with no Fibonacci arithmetic) to Vajda's identity. | |
| Apr 1, 2019 at 22:49 | comment | added | user918212 | It doesn't have 6 variables? It has 5: $n, r, k, h, g$. | |
| Apr 1, 2019 at 22:47 | comment | added | user44191 | This can be simplified to $F_{a - r}F_{b + k + 1} - F_{b - r} F_{a + k + 1} = (-1)^{a + r + 1} F_{b - a} F_{k + r + 1}$, using the substitution $a = n + h, b = n + g$, reducing to 5 variables instead of 6. | |
| Apr 1, 2019 at 22:34 | history | asked | user918212 | CC BY-SA 4.0 |