List questions from continued-fractions

Published on 19 Nov 2020 - 14:44

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Continuous fractions theorem

Published on 24 Nov 2020 - 14:18

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Induction over a range of values

Published on 29 Nov 2020 - 16:56

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Arithmetic mean of continued fraction digits diverges a.e.

Published on 30 Nov 2020 - 13:46

107

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Solving $\sum_{k=a}^{b-1} k=\sum_{k=b+1}^c k$ for natural numbers $a,b,c$

Published on 30 Nov 2020 - 13:57

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Closed form for continued fraction

Published on 01 Dec 2020 - 19:50

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$\sum_{k=1}^{n} \arcsin(\sin(k))= a_n+b_n \pi$, for $a_n,b_n\in\mathbb{Z}$; what can be said about the sequence $(a_n,b_n )$?

Published on 05 Dec 2020 - 17:07

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Infinite fraction series

Published on 08 Dec 2020 - 8:09

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Infinite sum $1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\ldots}}}$ -- does it evaluate to an exact value or approaches a limit

Published on 11 Dec 2020 - 20:33

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Does these rational sequences always reach an integer?

Published on 23 Feb 2026 - 2:52

234

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Incomplete gamma function continued fraction converges initially to wrong value

Published on 17 Dec 2020 - 19:12

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If there exist any $c, d$ so that $\frac{a_{new}}{b_{new}}\rightarrow \frac{c}{d}$ but never reaches $\frac{c}{d}$, I think

Published on 20 Dec 2020 - 8:23

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How to prove that $\frac{\pi}{2}=\left[1, 1, \tfrac{1}{2},\tfrac{1}{3},\tfrac{1}{4},\ldots\right]$?

Published on 20 Dec 2020 - 22:27

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Sum this Finite Series

Published on 26 Dec 2020 - 3:28

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I wish to change my old algorithm by another old algorithm RATCONVERT

Published on 26 Dec 2020 - 8:38

List Question

Continued fractions, why the reciprocal?

Continuous fractions theorem

Induction over a range of values

Arithmetic mean of continued fraction digits diverges a.e.

Solving $\sum_{k=a}^{b-1} k=\sum_{k=b+1}^c k$ for natural numbers $a,b,c$

Closed form for continued fraction

$\sum_{k=1}^{n} \arcsin(\sin(k))= a_n+b_n \pi$, for $a_n,b_n\in\mathbb{Z}$; what can be said about the sequence $(a_n,b_n )$?

Infinite fraction series

Infinite sum $1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\ldots}}}$ -- does it evaluate to an exact value or approaches a limit

Does these rational sequences always reach an integer?

Incomplete gamma function continued fraction converges initially to wrong value

If there exist any $c, d$ so that $\frac{a_{new}}{b_{new}}\rightarrow \frac{c}{d}$ but never reaches $\frac{c}{d}$, I think

How to prove that $\frac{\pi}{2}=\left[1, 1, \tfrac{1}{2},\tfrac{1}{3},\tfrac{1}{4},\ldots\right]$?

Sum this Finite Series

I wish to change my old algorithm by another old algorithm RATCONVERT

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