MathDB

Infinite sequence on positives

Source: Baltic Way 2021, Problem 3

November 15, 2021

algebraalgebra proposedSequenceBaltic Way

Problem Statement

Determine all infinite sequences

(a_1,a_2,\dots)

of positive integers satisfying

a_{n+1}^2=1+(n+2021)a_n

for all

n \ge 1

.

Back to Problems View on AoPS