BALKAN 2014 Problem 4
- Paper
- Answer
Let be a positive integer. A regular hexagon with side length is divided into equilateral triangles with side length 1 by lines parallel to its sides. Find the number of regular hexagons all of whose vertices are among the vertices of the equilateral triangles.
Dataset text NuminaMath olympiads. Quoted with source.
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\left(\frac{n(n+1)}{2}\right)^{2}
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