New posts in recurrence-relations

can one derive the $n^{th}$ term for the series, $u_{n+1}=2u_{n}+1$,$u_{0}=0$, $n$ is a non-negative integer

sequences-and-series arithmetic recurrence-relations

Is it possible to solve this recurrence equation?

summation recurrence-relations

Solving for the closed term solution of a third order recurrence relation with real constant coefficients

recurrence-relations closed-form

How to solve the recurrence $T(n) = T\left(\lceil\frac{n}{\sqrt{2}}\rceil+1\right) + 1$?

recurrence-relations

Recurrence relations and limits, tough.

sequences-and-series limits recurrence-relations cauchy-sequences

In how many sequences of length $n$, the difference between every 2 adjacent elements is $1$ or $-1$?

combinatorics recurrence-relations

Determinant of a matrix whose $(i,j)$th element is $|i-j|$?

recurrence-relations determinant recursion

Solve a Quadratic map

summation recurrence-relations

Repertoire Method Clarification Required ( Concrete Mathematics )

sequences-and-series recurrence-relations

Odd and even numbers in Pascal's triangle-Sierpinski's triangle

combinatorics recurrence-relations fractals

Show that $a_{n+1}= 1 + \frac{1}{a_n}$ converges. [duplicate]

real-analysis sequences-and-series convergence-divergence recurrence-relations

Finding a closed form for a recurrence relation $a_n=3a_{n-1}+4a_{n-2}$

linear-algebra recurrence-relations closed-form recursion

Solving the recurrence $T(n) = \sqrt n T(\sqrt{n}) + \sqrt{n}$

discrete-mathematics recurrence-relations

What is the integral of $e^{a \cdot x+b \cdot y}$ evaluated over the Koch Curve

integration measure-theory recurrence-relations fractal-analysis

The limit and asymptotic analysis of $a_n^2 - n$ from $a_{n+1} = \frac{a_n}{n} + \frac{n}{a_n}$

sequences-and-series limits induction asymptotics recurrence-relations

Infinite staircase to a circle

geometry recurrence-relations recreational-mathematics circles coordinate-systems

Counting binary sequences with no more than $2$ equal consecutive numbers

combinatorics recurrence-relations summation

Simple recurrences converging to $\log 2, \pi, e, \sqrt{2}$ and so on

real-analysis limits recurrence-relations irrational-numbers

two-dimensional recurrence relation

recurrence-relations laplace-transform

What is the characteristic equation of $a_{n+2}+2a_{n}=0$?

discrete-mathematics recurrence-relations characteristic-polynomial