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MathNet 2019-part-06 — 184 problems (EN–VI) Question 150

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 150

A set $T$ of integers is called *orensano* if there are integers $a \lt b \lt c$ such that $a, c \in T$ and $b \notin T$.
Find the number of orensano subsets $T$ of $\{1, 2, \dots, 2019\}$.