Question

Non-periodic continued fraction with explicitly known convergents?

score 51 · Answer 1 · 2022-02-27 08:03:30

51

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Non-periodic continued fraction with explicitly known convergents?

Published on 27 Feb 2022 - 8:03

score 53 · Answer 2 · 2022-02-27 17:20:56

53

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Compute $p_{n+1} = p^2 \frac{r_1^n-r_2^n}{r_1-r_2}, n \geq 0$

Published on 27 Feb 2022 - 17:20

score 92 · Answer 3 · 2026-03-25 20:11:19

92

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Why does the golden ratio emerge in this primorial-related sequence?

Published on 25 Mar 2026 - 20:11

score 273 · Answer 4 · 2022-04-08 21:35:16

273

Views

proof fibonacci sequence is small o(2^n) without using closed formula

Published on 08 Apr 2022 - 21:35

score 102 · Answer 5 · 2022-04-09 22:34:22

102

Views

Rational approximations of the golden ratio: how to prove this limit exists?

Published on 09 Apr 2022 - 22:34

score 58 · Answer 6 · 2022-05-01 19:09:25

58

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What's the intuition of the relation between fibonacci-like sequences and the proportion used to obtain the golden ratio?

Published on 01 May 2022 - 19:09

score 111 · Answer 7 · 2022-05-18 14:47:19

111

Views

Proof that $\sum_{n=1}^\infty\frac{F_n}{3^n n} = \frac{\ln(\phi+1)}{\sqrt{5}}$

Published on 18 May 2022 - 14:47

score 452 · Answer 8 · 2026-02-23 13:42:57

452

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Golden Ratio appears in this Rule 30 variation?

Published on 23 Feb 2026 - 13:42

score 82 · Answer 9 · 2022-07-24 11:26:24

82

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An upper bound for the Sophomore Dream .

Published on 24 Jul 2022 - 11:26

score 145 · Answer 10 · 2026-02-23 15:33:06

145

Views

What gives the golden ratio its unusual numerical properties?

Published on 23 Feb 2026 - 15:33

score 59 · Answer 11 · 2022-08-16 17:11:58

59

Views

Ranges of the sequences $\lfloor \phi n \rfloor$ and $\lfloor \phi^2 n\rfloor$, where $\phi$ is the golden ratio

Published on 16 Aug 2022 - 17:11

score 84 · Answer 12 · 2022-08-18 05:26:47

84

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How does $2\pi(1-\frac{1}{\phi})$ become $\pi(3 - \sqrt 5)$, where $\phi$ is the Golden Ratio?

Published on 18 Aug 2022 - 5:26

score 413 · Answer 13 · 2022-08-22 00:26:55

413

Views

If $\sum\limits_{n=1}^{\infty}e_n x^n = 0$ always implies $\sum\limits_{n=1}^{\infty}e_n a_n = 0$, then $(a_n) = (x^n)$?

Published on 22 Aug 2022 - 0:26

score 102 · Answer 14 · 2022-08-22 15:28:44

102

Views

Find all functions for which their inverse equals the derivative

Published on 22 Aug 2022 - 15:28

score 66 · Answer 15 · 2022-09-02 21:32:33

66

Views

Where do I go from here to solve $F_{N}<\phi^N$, with $\phi = \frac{1+\sqrt{5}}{2}$

Published on 02 Sep 2022 - 21:32

List Question

Non-periodic continued fraction with explicitly known convergents?

Compute $p_{n+1} = p^2 \frac{r_1^n-r_2^n}{r_1-r_2}, n \geq 0$

Why does the golden ratio emerge in this primorial-related sequence?

proof fibonacci sequence is small o(2^n) without using closed formula

Rational approximations of the golden ratio: how to prove this limit exists?

What's the intuition of the relation between fibonacci-like sequences and the proportion used to obtain the golden ratio?

Proof that $\sum_{n=1}^\infty\frac{F_n}{3^n n} = \frac{\ln(\phi+1)}{\sqrt{5}}$

Golden Ratio appears in this Rule 30 variation?

An upper bound for the Sophomore Dream .

What gives the golden ratio its unusual numerical properties?

Ranges of the sequences $\lfloor \phi n \rfloor$ and $\lfloor \phi^2 n\rfloor$, where $\phi$ is the golden ratio

How does $2\pi(1-\frac{1}{\phi})$ become $\pi(3 - \sqrt 5)$, where $\phi$ is the Golden Ratio?

If $\sum\limits_{n=1}^{\infty}e_n x^n = 0$ always implies $\sum\limits_{n=1}^{\infty}e_n a_n = 0$, then $(a_n) = (x^n)$?

Find all functions for which their inverse equals the derivative

Where do I go from here to solve $F_{N}<\phi^N$, with $\phi = \frac{1+\sqrt{5}}{2}$

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