List questions from recurrence-relations

Published on 26 Mar 2026 - 10:58

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Recurrence relations: prove that if $a_i = a_j$, then $i=j$

Published on 20 May 2020 - 8:41

433

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Show if $x_1=1, x_2=2, x_n=\frac{1}{2}(x_{n-1}+x_{n-2})$, then $1\le x_n \le 2$ for all $n\in\mathbb{N}$ using Strong Induction

Published on 20 May 2020 - 18:12

74

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Reduction Formulae of $I_n=\int_0^\frac{\pi}{4}\tan^nx\, dx$ and $J_n=(-1)^nI_{2n}$

Published on 26 Mar 2026 - 22:55

61

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Relation between Leslie dinamical system matrix and homogeneous 3rd degree recurrence relation

Published on 30 Mar 2026 - 13:37

17

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Linear Non-homogeneous Recursive Relation

Published on 15 Mar 2026 - 19:07

34

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"Plus and minus filling" problem

Published on 23 May 2020 - 13:13

80

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Why is $\prod_{n}^{n-1} = 1$ and $\sum_{k=j+1}^{j}=0$?

Published on 24 May 2020 - 10:13

56

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Driving the state of a discrete system to zero in one step

Published on 26 Mar 2026 - 1:34

1k

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Number of full binary trees is Catalan, What is the number of Binary trees?

Published on 25 Mar 2026 - 17:22

209

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Recurrence relation $a_{n+1}=a_n^2-2$

Published on 25 May 2020 - 13:46

95

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Do we solve the recurrence relations by expanding the terms?

Published on 25 May 2020 - 18:31

27

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Recurrence equation process of solving

Published on 26 May 2020 - 12:19

24

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How can I find the complexity of this recurrence?

Published on 31 Mar 2026 - 17:23

55

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Finding the general formula for the sequence with $d_0=1$, $d_1=-1$, and $d_k=4 d_{k-2}$

Published on 26 May 2020 - 21:33

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Explicit closed formulas for A056542 and A079751?

Recurrence relations: prove that if $a_i = a_j$, then $i=j$

Show if $x_1=1, x_2=2, x_n=\frac{1}{2}(x_{n-1}+x_{n-2})$, then $1\le x_n \le 2$ for all $n\in\mathbb{N}$ using Strong Induction

Reduction Formulae of $I_n=\int_0^\frac{\pi}{4}\tan^nx\, dx$ and $J_n=(-1)^nI_{2n}$

Relation between Leslie dinamical system matrix and homogeneous 3rd degree recurrence relation

Linear Non-homogeneous Recursive Relation

"Plus and minus filling" problem

Why is $\prod_{n}^{n-1} = 1$ and $\sum_{k=j+1}^{j}=0$?

Driving the state of a discrete system to zero in one step

Number of full binary trees is Catalan, What is the number of Binary trees?

Recurrence relation $a_{n+1}=a_n^2-2$

Do we solve the recurrence relations by expanding the terms?

Recurrence equation process of solving

How can I find the complexity of this recurrence?

Finding the general formula for the sequence with $d_0=1$, $d_1=-1$, and $d_k=4 d_{k-2}$

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