MathDB
Sequence of integers

Source: 2012 USAMO problem #3

April 24, 2012
functionmodular arithmeticfloor functionAMCUSA(J)MOUSAMO

Problem Statement

Determine which integers n>1n > 1 have the property that there exists an infinite sequence a1,a2,a3,…a_1, a_2, a_3, \ldots of nonzero integers such that the equality ak+2a2k+…+nank=0a_k+2a_{2k}+\ldots+na_{nk}=0holds for every positive integer kk.
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