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Omni-MATH / Find the maximum possible number of three term arithmetic progressions in a…

Problem

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problem

Find the maximum possible number of three term arithmetic progressions in a monotone sequence of nn distinct reals.
Plain-text mathematical notation (without MathML)
Find the maximum possible number of three term arithmetic progressions in a monotone sequence of n distinct reals.
Original LaTeX notation
Find the maximum possible number of three term arithmetic progressions in a monotone sequence of $n$ distinct reals.

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