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New posts in recurrence-relations
Find the $n^{th}$ term of the sequence $\{a_n\}$ such that $\forall n \in \mathbb{N},\frac{a_1+a_2+\cdots+a_n}{n}=n+\frac{1}{n}$.
recurrence-relations
Recurrence relation for number of bit strings of length n that contain two consecutive 1s
discrete-mathematics
recurrence-relations
solving linear non homogeneous recursive relation.
recurrence-relations
Number of ways to represent any N as sum of odd numbers? [duplicate]
combinatorics
recurrence-relations
fibonacci-numbers
integer-partitions
Extracting an asymptotic from a sequence defined by a recurrence relation
sequences-and-series
summation
asymptotics
recurrence-relations
experimental-mathematics
Prove the following (algebra of polynomials)
algebra-precalculus
polynomials
induction
recurrence-relations
divisibility
How to find the limit of the sequence defined by $x_{n+1}=\sqrt{4 x_n -3}\,$?
real-analysis
limits
recurrence-relations
Proof of clockwise towers of Hanoi variant recursive solution
algorithms
discrete-mathematics
recurrence-relations
recursive-algorithms
Bessel's Differential Equation - textbook queries:
ordinary-differential-equations
recurrence-relations
special-functions
bessel-functions
Interesting properties of Fibonacci-like sequences?
sequences-and-series
recurrence-relations
fibonacci-numbers
Understanding why the roots of homogeneous difference equation must be eigenvalues
linear-algebra
recurrence-relations
eigenvalues-eigenvectors
How to solve homogeneous linear recurrence relations with constant coefficients?
sequences-and-series
recurrence-relations
closed-form
fibonacci-numbers
faq
The sequence $x_{n+1}=\frac{x_n}{2}-\frac{2}{x_n}, x_0>0$ is bounded?
sequences-and-series
recurrence-relations
A polynomial sequence
combinatorics
polynomials
recurrence-relations
Solve the sequence : $u_n = 1-(\frac{u_1}{n} + \frac{u_2}{n-1} + \ldots + \frac{u_{n-1}}{2})$
recurrence-relations
A more natural solution to finding the general terms of a recurrence relation in $2$ variables
recurrence-relations
contest-math
alternative-proof
What are the solutions for $a(n)$ and $b(n)$ when $a(n+1)=a(n)b(n)$ and $b(n+1)=a(n)+b(n)$?
real-analysis
recurrence-relations
recursive-algorithms
Integer partition of n into k parts recurrence
combinatorics
recurrence-relations
integer-partitions
Deriving the asymptotic estimate (9.62) in Concrete Mathematics
discrete-mathematics
recurrence-relations
asymptotics
generating-functions
Prove that if $x_{n+2}=\frac{2+x_{n+1}}{2+x_n},$ then $x_n$ converges
calculus
sequences-and-series
limits
convergence-divergence
recurrence-relations
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