List questions from continued-fractions

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For which $a$ is $n\lfloor a\rfloor+1\le \lfloor na\rfloor$ true for all sufficiently large $n$?

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Continued fraction for $\sqrt{14}$

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Continued fraction expansion related to exponential generating function

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Solve $\dfrac{1}{1+\frac{1}{1+\ddots}}$

Published on 01 May 2013 - 12:26

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Limit of a continued fraction

Published on 14 May 2013 - 9:09

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Cantor set as a set of continued fractions?

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A numerical coincidence with continued fractions

Published on 19 May 2013 - 23:20

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Eigenvalues of a tridiagonal trigonometric matrix

Published on 23 May 2013 - 21:38

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Non-Recursive Fundamental Recurrence Formulas

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Why are continued fractions for irrational numbers always convergent?

Published on 01 Jun 2013 - 16:19

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Bounded partial quotients set is nowhere dense

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Finding an upper bound on a fraction

Published on 10 Jun 2013 - 23:09

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$1=2$ | Continued fraction fallacy

Published on 11 Jun 2013 - 10:03

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Solving for $x$: $1=\frac{1}{x}+\frac{1}{1+\frac{1}{x}}+\frac{1}{1+\frac{1}{1+\frac{1}{x}}}+\cdots$

Published on 14 Jun 2013 - 18:01

List Question

How do I calculate the 2nd term of continued fraction for the power tower ${^5}e=e^{e^{e^{e^{e}}}}$

For which $a$ is $n\lfloor a\rfloor+1\le \lfloor na\rfloor$ true for all sufficiently large $n$?

Continued fraction for $\sqrt{14}$

Continued fraction expansion related to exponential generating function

Solve $\dfrac{1}{1+\frac{1}{1+\ddots}}$

Limit of a continued fraction

Cantor set as a set of continued fractions?

A numerical coincidence with continued fractions

Eigenvalues of a tridiagonal trigonometric matrix

Non-Recursive Fundamental Recurrence Formulas

Why are continued fractions for irrational numbers always convergent?

Bounded partial quotients set is nowhere dense

Finding an upper bound on a fraction

$1=2$ | Continued fraction fallacy

Solving for $x$: $1=\frac{1}{x}+\frac{1}{1+\frac{1}{x}}+\frac{1}{1+\frac{1}{1+\frac{1}{x}}}+\cdots$

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