MathDB

Nordic 2016 P1

Source:

April 4, 2017

number theoryalgebra

Problem Statement

Determine all sequences of non-negative integers

a_1, \ldots, a_{2016}

all less than or equal to

2016

satisfying

i+j\mid ia_i+ja_j

for all

i, j\in \{ 1,2,\ldots, 2016\}