MathDB
Infine Sequence

Source: 1995 Belarus IMO TST Day 1 P 3

November 28, 2015
Sequencenumber theoryfunctionfunctional equation

Problem Statement

Show that there is no infinite sequence an of natural numbers such that aan=an+1an−1−an2a_{a_n}=a_{n+1}a_{n-1}-a_{n}^2 for all n≥2n\geq 2
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