olymmath

IMO 1974 Problem 3

  • Day 1

Prove that for any n natural, the number ∑k=0n(2n+12k+1)23k\sum \limits_{k=0}^{n} \binom{2n+1}{2k+1} 2^{3k} cannot be divided by 55 .

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1974 official English paper, page 1.

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