Junior Balkan MO 2011 - Problem 3
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Avg: 4,0Let be a positive integer. Equilateral triangle is divided into smaller congruent equilateral triangles (with sides parallel to its sides). Let be the number of rhombuses that contain two small equilateral triangles and the number of rhombuses that contain eight small equilateral triangles. Find the difference in terms of .
Izvor: Juniorska balkanska matematička olimpijada 2011.