New posts in recurrence-relations

Can a sequence of finitely many elementary operations/algorithm give a specific closed form for a recurrence relation?

sequences-and-series combinatorics discrete-mathematics recurrence-relations

How to prove that $a_{n}$ must be of the form $a^2+b^2$?

recurrence-relations vieta-jumping

recurrence involving permutations

combinatorics elementary-set-theory permutations recurrence-relations

Egyptian fraction series for $\frac{99}{70}-\sqrt{2}$

sequences-and-series recurrence-relations approximation diophantine-approximation constants

How to prove that for $a_{n+1}=\frac{a_n}{n} + \frac{n}{a_n}$ , we have $\lfloor a_n^2 \rfloor = n$?

sequences-and-series induction recurrence-relations ceiling-and-floor-functions

Induction (Geometric sequence)

sequences-and-series recurrence-relations geometric-series

Solving a Nonlinear Recursion

recurrence-relations

Recurrence vs Recursive

recurrence-relations definition recursion

Why do the Fibonacci numbers recycle these formulas?

number-theory sequences-and-series recurrence-relations fibonacci-numbers

Input in Differential Equations and Difference Equations

ordinary-differential-equations limits continuity recurrence-relations discrete-time

Solve recurrence relation $T(n-2)+2n$

algorithms recurrence-relations asymptotics recursion recursive-algorithms

Solving the recurrence $T(n) = 2T\left(\frac{n}{2}\right) + \frac{n}{2}\log(n)$

asymptotics recurrence-relations

Prove that every terms of a sequence defined by a recurrence relation is a perfect square.

sequences-and-series number-theory recurrence-relations perfect-squares

Solve recursion $a_{n}=ba_{n-1}+cd^{n-1}$

sequences-and-series discrete-mathematics recurrence-relations

Finding the limits related to $a_1=1$, $a_{k+1}=\sqrt{a_1+a_2+\cdots +a_k}$

calculus sequences-and-series limits recurrence-relations

expansion of $\cos^k(\theta)$

functions recurrence-relations

Exponential growth of cow populations in Minecraft

recurrence-relations exponential-function

Solving an inhomogenous linear recurrence with two approaches gives back inconsistent results.

discrete-mathematics recurrence-relations

How to find the closed form formula for this recurrence relation

recurrence-relations

Tower of Hanoi sequence via eigendecomposition

linear-algebra sequences-and-series matrices eigenvalues-eigenvectors recurrence-relations