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1

Part of 2016 Nordic

Problems(1)

Nordic 2016 P1

Source:

4/4/2017
Determine all sequences of non-negative integers a1,…,a2016a_1, \ldots, a_{2016} all less than or equal to 20162016 satisfying i+j∣iai+jaji+j\mid ia_i+ja_j for all i,j∈{1,2,…,2016}i, j\in \{ 1,2,\ldots, 2016\}.
number theoryalgebra