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Find all polynomials $p$ such that $p(x^2)=p(x)p(x+1)$
algebra-precalculus
polynomials
recurrence-relations
contest-math
Prove conjecture $a_{n+1}>a_{n}$ if $a_{n+1}=a+\frac{n}{a_{n}}$
sequences-and-series
recurrence-relations
Generalized Fibonacci Sequence Question
sequences-and-series
limits
convergence-divergence
recurrence-relations
fibonacci-numbers
show that $a_{n+874}=a_{n}$,if such $a_{n+2}=\left\lceil \frac{4}{3}a_{n+1}-a_{n}+0.5\right\rceil$
sequences-and-series
recurrence-relations
periodic-functions
For $x_{n+1}=x_n^2-2$, show $\lim_{n\to\infty}\frac{x_n}{x_0x_1\cdots x_{n-1}}=2$ [duplicate]
real-analysis
recurrence-relations
Number of discrete functions such that $f(f(f(x)))=x$
sequences-and-series
combinatorics
functions
recurrence-relations
limit of : $a_{n+2} =\frac{1}{a_n} + \frac{1}{a_{n+1}}$
real-analysis
sequences-and-series
limits
recurrence-relations
Number of ways to pair off $2n$ points such that no chords intersect
combinatorics
discrete-mathematics
recurrence-relations
catalan-numbers
Solving Non-Homogenous Recurrence Relation
discrete-mathematics
complex-numbers
recurrence-relations
systems-of-equations
cubics
Deducing Inequality from an Equation
discrete-mathematics
inequality
complex-numbers
recurrence-relations
functional-inequalities
How does one solve this recurrence relation? [closed]
recurrence-relations
Self-avoiding walk on $\mathbb{Z}$
number-theory
sequences-and-series
graph-theory
recurrence-relations
Is the sequence $a_{n+1}=a_n-\frac{1}{a_n}$, $a_0=2$ bounded?
real-analysis
sequences-and-series
recurrence-relations
Numbers $p-\sqrt{q}$ having regular egyptian fraction expansions?
elementary-number-theory
numerical-methods
recurrence-relations
irrational-numbers
egyptian-fractions
Solving recurrence relation. Recurrence
recurrence-relations
Fibonacci Recurrence Relations
recurrence-relations
fibonacci-numbers
Recurrence relation, Fibonacci numbers [duplicate]
recurrence-relations
fibonacci-numbers
A fun problem by Arnold using the Poincaré recurrence theorem
elementary-number-theory
recurrence-relations
mathematical-physics
Splitting $r^k (r+n)!$ as a sum of factorials
sequences-and-series
combinatorics
recurrence-relations
generating-functions
stirling-numbers
Solving the recursion $3a_{n+1}=2(n+1)a_n+5(n+1)!$ via generating functions
recurrence-relations
power-series
generating-functions
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