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Kepler-Bouwkamp Radius of Combinatorial Sequences
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Tomislav Došlić

Faculty of Civil Engineering

University of Zagreb

Kačićeva 26

10000 Zagreb

Croatia

**Abstract:**

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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