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Tough Recurrence Relation
recurrence-relations
Why does this iterative way of solving an equation work?
real-analysis
sequences-and-series
recurrence-relations
irrational-numbers
Finding the nth derivative of functions, in particular y=tan(x)
sequences-and-series
recurrence-relations
An Impossible Sequence of Prime Powers
elementary-number-theory
prime-numbers
recurrence-relations
Showing that $T(n)=2T([n/2]+17)+n$ has a solution in $O(n \log n)$
algorithms
recurrence-relations
Finding non-negative integers $m$ such that $(1 + \sqrt{-2})^m$ has real part $\pm 1$.
complex-numbers
algebraic-number-theory
recurrence-relations
A series: $1-\frac{1}{2}-\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6}+\frac{1}{7}+\cdots$
sequences-and-series
inequality
recurrence-relations
Prime Foias constant
prime-numbers
recurrence-relations
recursion
constants
What is this function related with continued fractions?
real-analysis
sequences-and-series
recurrence-relations
continued-fractions
golden-ratio
Derive the recurrence relations
combinatorics
recurrence-relations
special-functions
Coefficient of $\frac{1}{1-x-x^2-..-x^{d-1}}$ and its asymptotic
combinatorics
asymptotics
recurrence-relations
generating-functions
combinatorial-proofs
Zeroes of the third derivative of an iterated sine.
real-analysis
sequences-and-series
trigonometry
recurrence-relations
derivatives
Given $(a_n)$ such that $a_1 \in (0,1)$ and $a_{n+1}=a_n+(\frac{a_n}{n})^2$. Prove that $(a_n)$ has a finite limit. [duplicate]
real-analysis
sequences-and-series
convergence-divergence
recurrence-relations
nonlinear-dynamics
Convergence of the quadratic map $\left(x-\left(x-\left(x- \dots \right)^2 \right)^2 \right)^2$?
recurrence-relations
taylor-expansion
quadratics
newton-raphson
bifurcation
How does one find a formula for the recurrence relation $a_{1}=1,a_{2}=3, a_{n+2}=a_{n+1}+a_{n}?$
discrete-mathematics
recurrence-relations
Attempting to describe number of possible bit strings containing sequence [0, 1] recursively.
recurrence-relations
ith term of$~\left\{a\right\}=\left\{1,1,3,1,3,5,1,3,5,7,1,3,5,7,9,1,\cdot\cdot\cdot\right\}~$such that$~a_{i}=17~$for j times appearnce
combinatorics
elementary-number-theory
recurrence-relations
Can we solve this recurrence relation?
sequences-and-series
convergence-divergence
recurrence-relations
stability-theory
How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?
combinatorics
recurrence-relations
fibonacci-numbers
Solving recurrences with boundary conditions
algorithms
recurrence-relations
recursive-algorithms
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