Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem A. 732. (October 2018)

A. 732. Does there exist an infinite sequence $\displaystyle a_1,a_2,\ldots$ of real numbers which is bounded, not periodic, and satisfies the recursion $\displaystyle a_{n+1}=a_{n-1}a_n+1$?

(7 pont)

Deadline expired on November 12, 2018.

### Statistics:

 8 students sent a solution. 7 points: Schrettner Jakab. 0 point: 7 students.

Problems in Mathematics of KöMaL, October 2018