Question

A conjecture for the golden ration via continued fraction $\phi=\frac{1+\sqrt{5}}{2}$

score 207 · Answer 1 · 2026-03-26 13:00:45

207

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A conjecture for the golden ration via continued fraction $\phi=\frac{1+\sqrt{5}}{2}$

Published on 26 Mar 2026 - 13:00

score 109 · Answer 2 · 2023-09-24 10:07:43

109

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What proofs are there of this result (on square roots and continued fractions)?

Published on 24 Sep 2023 - 10:07

score 81 · Answer 3 · 2023-09-30 01:28:58

81

Views

For what $x\in\mathbb{R}\setminus\{0\}$ does generalized continued fraction $x+\frac{x}{x+\frac{x}{x+\frac{x}{x+...}}}$ converge?

Published on 30 Sep 2023 - 1:28

score 60 · Answer 4 · 2023-10-08 10:31:17

60

Views

Semi-Regular Continued Fraction Expansion

Published on 08 Oct 2023 - 10:31

score 65 · Answer 5 · 2023-10-16 06:32:36

65

Views

Number of elements in a continued fraction

Published on 16 Oct 2023 - 6:32

score 36 · Answer 6 · 2023-10-20 19:16:41

36

Views

Reverse Calculate Continued Fraction of Log, to get Antilog.

Published on 20 Oct 2023 - 19:16

score 55 · Answer 7 · 2023-10-20 22:15:39

55

Views

Convert Rational Function to Finite Continuted Functions.

Published on 20 Oct 2023 - 22:15

score 155 · Answer 8 · 2023-10-22 05:40:41

155

Views

Expressing Ramanujan's $\sqrt{\frac{\pi\,e}{2}}$ as $two$ continued fractions

Published on 22 Oct 2023 - 5:40

score 254 · Answer 9 · 2023-10-22 08:51:15

254

Views

Continued fraction of $\frac{\prod_{k=1}^{p-1}(2^k-1)}{2^p-1}$ for prime p.

Published on 22 Oct 2023 - 8:51

score 306 · Answer 10 · 2023-10-23 10:00:44

306

Views

On the cubic counterpart of Ramanujan's $\sqrt{\frac{\pi\,e}{2}} =1+\frac{1}{1\cdot3}+\frac{1}{1\cdot3\cdot5}+\frac{1}{1\cdot3\cdot5\cdot7}+\dots$?

Published on 23 Oct 2023 - 10:00

score 102 · Answer 11 · 2023-10-23 11:54:28

102

Views

largest term in simple continued fraction of $\sqrt{n}$

Published on 23 Oct 2023 - 11:54

score 51 · Answer 12 · 2023-10-26 13:30:40

51

Views

Does the rest of this family of continued fractions have closed forms?

Published on 26 Oct 2023 - 13:30

score 180 · Answer 13 · 2026-03-26 17:34:54

180

Views

Exercise for student about $y\simeq P$

Published on 26 Mar 2026 - 17:34

score 401 · Answer 14 · 2023-11-15 18:24:21

401

Views

Matrix and Taylor Expansion of a Finite Continued Function

Published on 15 Nov 2023 - 18:24

score 86 · Answer 15 · 2023-11-17 05:39:53

86

Views

Deriving the continued fraction for Pi

Published on 17 Nov 2023 - 5:39

List Question

A conjecture for the golden ration via continued fraction $\phi=\frac{1+\sqrt{5}}{2}$

What proofs are there of this result (on square roots and continued fractions)?

For what $x\in\mathbb{R}\setminus\{0\}$ does generalized continued fraction $x+\frac{x}{x+\frac{x}{x+\frac{x}{x+...}}}$ converge?

Semi-Regular Continued Fraction Expansion

Number of elements in a continued fraction

Reverse Calculate Continued Fraction of Log, to get Antilog.

Convert Rational Function to Finite Continuted Functions.

Expressing Ramanujan's $\sqrt{\frac{\pi\,e}{2}}$ as $two$ continued fractions

Continued fraction of $\frac{\prod_{k=1}^{p-1}(2^k-1)}{2^p-1}$ for prime p.

On the cubic counterpart of Ramanujan's $\sqrt{\frac{\pi\,e}{2}} =1+\frac{1}{1\cdot3}+\frac{1}{1\cdot3\cdot5}+\frac{1}{1\cdot3\cdot5\cdot7}+\dots$?

largest term in simple continued fraction of $\sqrt{n}$

Does the rest of this family of continued fractions have closed forms?

Exercise for student about $y\simeq P$

Matrix and Taylor Expansion of a Finite Continued Function

Deriving the continued fraction for Pi

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