List questions from recurrence-relations

Published on 26 Mar 2026 - 0:53

64

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Order of growth of recurrence $4T(n/4) + n\log n^3$

Published on 26 Mar 2026 - 4:14

222

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recurrence relation in approximating theory

Published on 25 Mar 2026 - 4:35

567

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Number of $6$-digit numbers made up of the digits $1$, $2$, and $3$ with no digit occurring $3$ or more times consecutively?

Published on 25 Mar 2026 - 23:58

866

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Divisibility property for sequence $a_{n+2}=-2(n-1)(n+3)a_n-(2n+3)a_{n+1}$

Published on 26 Mar 2026 - 6:07

33

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Solving recurrence relation: ()=(−1)+⋅(−1), T(1) = 0

Published on 26 Mar 2026 - 4:14

67

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How to prove the following.

Published on 08 Apr 2018 - 20:46

80

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Recurrence relation without modulo

Published on 26 Mar 2026 - 6:03

58

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Is there any solution for the following recurrence problem

Published on 09 Apr 2018 - 13:54

169

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Value of $\sum_{n=0}^{\infty}\frac{n^k}{n!}$ for $k \in \mathbb{N}$

Published on 12 Apr 2018 - 4:10

129

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Let the sequence be defined recursively $X_{n+1}=pX_{n}+q$ for p nonzero and $X_{1}$ arbitrary. In what conditions does the sequence converge?

Published on 12 Apr 2018 - 14:36

269

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induction with recursive elements $y_{k}=y_{k-1}+k^2$

Published on 25 Mar 2026 - 4:36

51

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Convergent series with trigonometric functions like $a_{0}=m, a_{2n-1}=\sin(a_{2n-2}), a_{2n}=\cos(a_{2n-1})$

Published on 25 Mar 2026 - 16:03

86

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How to solve the recurrence $a_{n}=\frac{n+1}{n} a_{n-1}+3n+3$?

Published on 25 Mar 2026 - 13:56

913

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Why do $X_n$ and $X_{n+1}$ tend towards the same limit?

Published on 14 Apr 2018 - 13:56

List Question

Order of growth of $x^{\log x}$

Order of growth of recurrence $4T(n/4) + n\log n^3$

recurrence relation in approximating theory

Number of $6$-digit numbers made up of the digits $1$, $2$, and $3$ with no digit occurring $3$ or more times consecutively?

Divisibility property for sequence $a_{n+2}=-2(n-1)(n+3)a_n-(2n+3)a_{n+1}$

Solving recurrence relation: ()=(−1)+⋅(−1), T(1) = 0

How to prove the following.

Recurrence relation without modulo

Is there any solution for the following recurrence problem

Value of $\sum_{n=0}^{\infty}\frac{n^k}{n!}$ for $k \in \mathbb{N}$

Let the sequence be defined recursively $X_{n+1}=pX_{n}+q$ for p nonzero and $X_{1}$ arbitrary. In what conditions does the sequence converge?

induction with recursive elements $y_{k}=y_{k-1}+k^2$

Convergent series with trigonometric functions like $a_{0}=m, a_{2n-1}=\sin(a_{2n-2}), a_{2n}=\cos(a_{2n-1})$

How to solve the recurrence $a_{n}=\frac{n+1}{n} a_{n-1}+3n+3$?

Why do $X_n$ and $X_{n+1}$ tend towards the same limit?

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