How to solve this nonlinear difference equation $a_{n+1} = 2a_n + \frac{1}{a_n}$, $a_1 = 1$?
121167
explicit formula for recurrence relation $a_{n+1}=2a_n+\frac{1}{a_n}$
133070
Finding a closed form expression for the recurrence relation $a(n,k+1)=(k+1)^n+\sum_{m=1}^k {k+1\choose m}a(n,m)$
4816
How to solve $\frac 1{1.2.3}+\frac 1{2.3.4}+\frac 1{3.4.5}+...$
11976
Help with a recurrence with even and odd terms
30471
Show that $a_{n+1}= 1 + \frac{1}{a_n}$ converges.
34074
Nonlinear Functional Equation $f(x)^{2}=f\left(\frac x a\right)$
156468
Solutions to $a+b+c=12$, $a, b, c \in \mathbb{N}_0$
123475
$\frac{1}{A_1A_2}=\frac{1}{A_1A_3}+\frac{1}{A_1A_4}$.Then find the value of $n$
129381
Modular equation problem
91881
How solve this equation
60902
Find general solution for the equation $1 + 2 + \cdots + (n − 1) = (n + 1) + (n + 2) + \cdots + (n + r) $
144890
Recurrence $f_{n+2}=af_{n+1}+bf_n$
4031
What is the solution to the following recurrence relation with square root: $T(n)=T (\sqrt{n}) + 1$?
21986
What is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$?
67535
Limit of a difference equation
141095
Solve recurrence relation $ a_{n+1} = (n+1)a_n + 1 $
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$