Journal of Integer Sequences, Vol. 17 (2014), Article 14.11.3

Kepler-Bouwkamp Radius of Combinatorial Sequences

Tomislav Došlić
Faculty of Civil Engineering
University of Zagreb
Kačićeva 26
10000 Zagreb


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 ≥ 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.

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(Concerned with sequences A000027 A000040 A000079 A000142 A000244 A000290 A000714 A002378 A005408 A005843 A007283 A085365.)

Received July 30 2014; revised versions received November 4 2014; November 5 2014. Published in Journal of Integer Sequences, November 7 2014.

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