engleski

Kepler-Bouwkamp Radius of Combinatorial Sequences

The Kepler-Bouwkamp constant is defined as the limit of radii of a sequence of concentric circles that are simultaneously inscribed in a regular $n$-gon and circumscribed around a regular $(n+1)$-gon for $n \geq 3$. The outermost circle, circumscribed around an equilateral triangle, has radius 1. We investigate what happens when the number of sides of regular polygons from the definition is given by a sequence different from the sequence of natural numbers.

Kepler-Bouwkamp constant; infinite product

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