We have sequences $a_n$ such that:
- $a_1=1, a_2=2,$
- $a_{n+k}=a_n$ - for some unknown $k \in \mathbb{N}$. $n=1,2,3,...$
And for the sequences $b_n=a_{n+2}-a_{n+1}+a_n$ we know that:
$ b_{n+1}=\frac{1}{2}(b_n^2+1). $
Find $a_n$ - ?
We have sequences $a_n$ such that:
And for the sequences $b_n=a_{n+2}-a_{n+1}+a_n$ we know that:
$ b_{n+1}=\frac{1}{2}(b_n^2+1). $
Find $a_n$ - ?
One answer is for $a_n$ to be the sequence $1,2,2,1,0,0$ repeating.