Newbetuts

Why does the process defined with $a_{n+2} = \frac{1}{a_n} + \frac{1}{a_{n+1}}$ converge to $\pm\sqrt{2}$ for most choices of the starting values?

A recurrence relation for the Harmonic numbers of the form $H_n = \sum\limits_{k=1}^{n-1}f(k,n)H_k$

Number of 10 digit numbers having digits 0,1,2 so that no two 0s are consecutive.

Recurrence relation: $a_n = 3a_{n-1} + 2n, a_0 = 1$

Fastest way showing the limit exists without finding the limit?

Prove that the sequence defined by a recurrence is bounded

Solving simple linear recurrences with generating functions

If $u_1=1$ and $u_{n+1} = n+\sum_{k=1}^n u_k^2$, then $u_n$ is never a square.

Did I correctly derive this recurrence equation formula

Finding the asymptotic behavior of the recurrence $T(n)=4T(\frac{n}{2})+n^2$ by using substitution method

Is there a closed form for the growing of the population of Minecraft cow? [duplicate]

Finding a closed form expression for the recurrence relation $a(n,k+1)=(k+1)^n+\sum_{m=1}^k {k+1\choose m}a(n,m)$

Solving the recurrence relation $a_n=\frac{a_{n-1}^2+a_{n-2}^2}{a_{n-1}+a_{n-2}}$

If $2a_{n+2} \le a_{n+1}+a_n$, then $\lim \sup a_n \le \frac23 a_2 + \frac13 a_1$

Recurrence $a_{n}=a_{\lfloor 2n/3\rfloor}+a_{\lfloor n/3\rfloor}$

New posts in recurrence-relations

How to solve non-linear recurrence relation in general?

Does this sequence reach infinity?

Riordan numbers recurrence

Non-trivial zero(s) of Akiyama-Tanigawa triangle

Periodic sequences given by recurrence relations

Why does the process defined with $a_{n+2} = \frac{1}{a_n} + \frac{1}{a_{n+1}}$ converge to $\pm\sqrt{2}$ for most choices of the starting values?

A recurrence relation for the Harmonic numbers of the form $H_n = \sum\limits_{k=1}^{n-1}f(k,n)H_k$

Number of 10 digit numbers having digits 0,1,2 so that no two 0s are consecutive.

Recurrence relation: $a_n = 3a_{n-1} + 2n, a_0 = 1$

Fastest way showing the limit exists without finding the limit?

Prove that the sequence defined by a recurrence is bounded

Solving simple linear recurrences with generating functions

If $u_1=1$ and $u_{n+1} = n+\sum_{k=1}^n u_k^2$, then $u_n$ is never a square.

Did I correctly derive this recurrence equation formula

Finding the asymptotic behavior of the recurrence $T(n)=4T(\frac{n}{2})+n^2$ by using substitution method

Is there a closed form for the growing of the population of Minecraft cow? [duplicate]

Finding a closed form expression for the recurrence relation $a(n,k+1)=(k+1)^n+\sum_{m=1}^k {k+1\choose m}a(n,m)$

Solving the recurrence relation $a_n=\frac{a_{n-1}^2+a_{n-2}^2}{a_{n-1}+a_{n-2}}$

If $2a_{n+2} \le a_{n+1}+a_n$, then $\lim \sup a_n \le \frac23 a_2 + \frac13 a_1$

Recurrence $a_{n}=a_{\lfloor 2n/3\rfloor}+a_{\lfloor n/3\rfloor}$