New posts in Recursion

What is the closed form of the $f$ with $f(1)=1$, $f(2)=7$ and $f(n)=7f(n-1)-12f(n-2)$ ($n\ge 3$)?

How can we express "induction is the same as recursion", formally?

In a topos with a NNO, how does one define the subobject "$<$'' of $\mathbf N\times\mathbf N$?

finding a solution for this recurrence relation

Closed form of recurrent arithmetic series summation

Each member of a population dies with probability $\frac12$ each day, what is the probability that there will be exactly $1$ person alive?

Friends pairing problem

Growth rate of the nth natural number not constructable with n steps of addition and multiplication

Is there a closed form formula for the recursive sequence: $x_n = x_{n-1} + \alpha\sqrt{x_{n-1}}$

Closed form for the limit of the iterated sequence $a_{n+1}=\frac{\sqrt{(a_n+b_n)(a_n+c_n)}}{2}$