Newbetuts

Linear homogeneous recurrence relations with repeated roots; motivation behind looking for solutions of the form $nx^n$?

Show that $\lim\limits_{n\to\infty}\frac{a_1+a_2+\dots+a_n}{n^2}$ exists and is independent of the choice of $a$

A surprising result about the product of Blaschke matrices

Numbers of distinct values obtained by inserting $+ - \times \div ()$ in $\underbrace{2\quad2 \quad2 \quad2\quad...\quad 2}_{n \text{ times}}$

Finding every $n$ such that $a_n$ is an integer

show this sequence always is rational number

How to solve this nonlinear recurrence relation?

Finding explicit formula for recursive relation

Matrix Exponentiation in Olympiad Problem [duplicate]

Finding the limit for recurrence relation $ x_{n+1} = \sqrt{x_n + \frac 14} - \frac 1 2 $

Matrix with integer coordinates

unorthodox solution of a special case of the master theorem

Is $\sin\left(\frac{\pi}{2}\sin\left(\frac{\pi}{2}\cdots\sin x\cdots\right)\right)=\frac4{\pi}\sum\limits_{k=0}^\infty\frac{\sin(2k+1)x}{2k+1}$?

convoluted recurrence: $f(2n)=f(n)+f(n+1)+n, f(2n+1)=f(n)+f(n-1)+1$

Does this sequence always terminate or enter a cycle?

Is there an easy way to see that this simple recurrence is 9-periodic? [duplicate]

New posts in recurrence-relations

Identifying this chaotic (?) recurrence relation

Why is this family of dynamical systems able to produce spirals and clusters of points?

Number of ways to partition a rectangle into n sub-rectangles

Explicit formula for Bernoulli numbers by using only the recurrence relation

Linear homogeneous recurrence relations with repeated roots; motivation behind looking for solutions of the form $nx^n$?

Show that $\lim\limits_{n\to\infty}\frac{a_1+a_2+\dots+a_n}{n^2}$ exists and is independent of the choice of $a$

A surprising result about the product of Blaschke matrices

Numbers of distinct values obtained by inserting $+ - \times \div ()$ in $\underbrace{2\quad2 \quad2 \quad2\quad...\quad 2}_{n \text{ times}}$

Finding every $n$ such that $a_n$ is an integer

show this sequence always is rational number

How to solve this nonlinear recurrence relation?

Finding explicit formula for recursive relation

Matrix Exponentiation in Olympiad Problem [duplicate]

Finding the limit for recurrence relation $ x_{n+1} = \sqrt{x_n + \frac 14} - \frac 1 2 $

Matrix with integer coordinates

unorthodox solution of a special case of the master theorem

Is $\sin\left(\frac{\pi}{2}\sin\left(\frac{\pi}{2}\cdots\sin x\cdots\right)\right)=\frac4{\pi}\sum\limits_{k=0}^\infty\frac{\sin(2k+1)x}{2k+1}$?

convoluted recurrence: $f(2n)=f(n)+f(n+1)+n, f(2n+1)=f(n)+f(n-1)+1$

Does this sequence always terminate or enter a cycle?

Is there an easy way to see that this simple recurrence is 9-periodic? [duplicate]