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Only integer answers (Posted on 2022-05-19)

Let

S(3)= 1³+2³+…+(2n)³
and
S(2)= 1²+2²+…+n²

For what integer values of n will the ratio r=S(3)/S(2) have an integer result?

List all existing answers.

Source: Russian Math Olympiad

See The Solution Submitted by Ady TZIDON

Rating: 5.0000 (1 votes)

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