Coins in a fountain is a problem in combinatorial mathematics that involves a generating function. In this problem, a fountain is an arrangement of non-overlapping unit circles into horizontal rows in the plane so that consecutive circles in the bottom row are tangent to each other, and such that each circle in a higher row is tangent to two coins from the next row below it.
Coins in a fountain is a problem in combinatorial mathematics that involves a generating function. In this problem, a fountain is an arrangement of non-overlapping unit circles into horizontal rows in the plane so that consecutive circles in the bottom row are tangent to each other, and such that each circle in a higher row is tangent to two coins from the next row below it.
Source: Wikipedia "Coins in a fountain" · CC BY-SA 4.0
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