List questions from continued-fractions

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What is this function related with continued fractions?

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Continued fractions formula

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description in mathematics

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forming the continued fraction of the euler number

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Determinants of products of binary matrices and binomial coefficients

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Coefficients of binomial continued fractions

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Is it true that there are infinitely many square numbers of the form $\lfloor n\sqrt{2}\rfloor$?

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continued fraction development of the numbers of the following form, $\sqrt{n^2-1}$

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Finding the limit of the sequence $(1, \frac{1}{2+1}, \frac{1}{2+\frac{1}{1+1}},\cdots)$

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Book on the Lambert W function.

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Convergence to $\sqrt{2}$

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Prove or disprove $aB_m-bA_m=[q_n,\cdots,q_m]$

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Convergence of the continued fraction [1,1,1,...]

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Let $C_k = \frac{q_k}{p_k}$ denote the $k^{th}$ convergent of $[a_0;a_1,a_2,\dots]$. Prove that $p_kq_{k-1}-p_{k-1}q_k = (-1)^{k-1}$.

Published on 16 Apr 2026 - 1:37

List Question

Continued fraction involving Fibonacci sequence

What is this function related with continued fractions?

Continued fractions formula

description in mathematics

forming the continued fraction of the euler number

Determinants of products of binary matrices and binomial coefficients

Coefficients of binomial continued fractions

Is it true that there are infinitely many square numbers of the form $\lfloor n\sqrt{2}\rfloor$?

continued fraction development of the numbers of the following form, $\sqrt{n^2-1}$

Finding the limit of the sequence $(1, \frac{1}{2+1}, \frac{1}{2+\frac{1}{1+1}},\cdots)$

Book on the Lambert W function.

Convergence to $\sqrt{2}$

Prove or disprove $aB_m-bA_m=[q_n,\cdots,q_m]$

Convergence of the continued fraction [1,1,1,...]

Let $C_k = \frac{q_k}{p_k}$ denote the $k^{th}$ convergent of $[a_0;a_1,a_2,\dots]$. Prove that $p_kq_{k-1}-p_{k-1}q_k = (-1)^{k-1}$.

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