Journal of Integer Sequences, Vol. 12 (2009), Article 09.1.7

Polygonal Chain Sequences in the Space of Compact Sets


Steven Schlicker
Grand Valley State University
Allendale, MI 49401
USA

Lisa Morales
University of California, Riverside
Riverside, CA 92521
USA

Daniel Schultheis
University of California, San Diego
La Jolla, CA 92093
USA

Abstract:

Configurations in the hyperspace of all non-empty compact subsets of n-dimensional real space provide a potential wealth of examples of familiar and new integer sequences. For example, Fibonacci-type sequences arise naturally in this geometry. In this paper, we introduce integer sequences that are determined by polygonal chain configurations.

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(Concerned with sequences A000032 A000045 A152927 A152928 A152929 A152930 A152931 and A152932.)

Received August 22 2008; revised version received December 22 2008. Published in Journal of Integer Sequences, December 22 2008.

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