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New posts in recurrence-relations
All terms of this sequence are equal to 1: $x_{n+1}= \frac{nx_{n}^2+1}{n+1}$
sequences-and-series
elementary-number-theory
reference-request
recurrence-relations
Solving randomized recurrence relation
probability
probability-theory
approximation
recurrence-relations
Stirling numbers of the second kind: How to obtain a recurrence relation from a generating function?
recurrence-relations
generating-functions
stirling-numbers
limit of the sequence $a_n=1+\frac{1}{a_{n-1}}$ and $a_1=1$
calculus
real-analysis
sequences-and-series
convergence-divergence
recurrence-relations
If $x_1<x_2$ are arbitrary real numbers, and $x_n=\frac{1}{2}(x_{n-2}+x_{n-1})$ for $n>2$, show that $(x_n)$ is convergent.
real-analysis
sequences-and-series
recurrence-relations
Help with a recurrence with even and odd terms [duplicate]
discrete-mathematics
recurrence-relations
Is the sequence defined by the recurrence $ a _ { n + 2 } = \frac 1 { a _ { n + 1 } } + \frac 1 { a _ n } $ convergent? [duplicate]
real-analysis
sequences-and-series
limits
convergence-divergence
recurrence-relations
Limit of the sequence $a_{n+1}=\frac{1}{2} (a_n+\sqrt{\frac{a_n^2+b_n^2}{2}})$ - can't recognize the pattern
sequences-and-series
limits
trigonometry
recurrence-relations
pattern-recognition
Closed form for $a_{n+1} = (a_n)^2+\frac{1}{4}$
sequences-and-series
recurrence-relations
Closed form for non-linear recurrence $a_n=\sqrt{a_{n-1}+6}$ with $a_1=6$
recurrence-relations
Why does the difference equation $x_nx_{n+2}=w^5x_n-(w^2+w^3)x_{n+1}+x_{n+2}$ generate cyclic sequences?
complex-numbers
recurrence-relations
What is the sign of the integral $\int_{0}^{2\pi}e^{\sin(x)}\cos(nx)\,dx$?
real-analysis
integration
complex-analysis
definite-integrals
recurrence-relations
How to solve these recurrence relations by using generating function [closed]
recurrence-relations
generating-functions
Simplify recurrence $\frac{d}{dx} f_{n-1}(x)= f_n(x)- f_{n-1}(x) f_1(x)$
calculus
derivatives
recurrence-relations
Geometric interpretation of the fundamental theorem for coalgebras?
algebraic-geometry
recurrence-relations
coalgebras
How to Find Characteristic Equations?
discrete-mathematics
recurrence-relations
Closed form of the following Recurrence Relation
discrete-mathematics
recurrence-relations
Use Induction to prove recurrence
discrete-mathematics
induction
recurrence-relations
How to evaluate $\lim_{ n\to \infty }\frac{a_n}{2^{n-1}}$, if $a_0=0$ and $a_{n+1}=a_n+\sqrt{a_n^2+1}$? [duplicate]
limits
recurrence-relations
Induction hypothesis for $n-1$
induction
recurrence-relations
recursion
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