Y by Mathuzb, Adventure10
Let
be a positive integer. Show that if there exists a sequence
of integers satisfying the condition
then
is divisible by
.
Proposed by Okan Tekman, Turkey


![\[a_n=\frac{a_{n-1}+n^k}{n}\text{ for all } n\geq 1,\]](http://latex.artofproblemsolving.com/9/7/3/973a8947bb62b9356852e9170699460216652c92.png)


Proposed by Okan Tekman, Turkey
This post has been edited 1 time. Last edited by djmathman, Dec 13, 2015, 5:19 PM