A Probabilistic View of Certain Weighted Fibonacci Sums

Authors

Arthur T. Benjamin, Harvey Mudd CollegeFollow
Judson D. Neer, Cedarville University
Daniel T. Otero, Xavier University - Cincinnati
James A. Sellers, Pennsylvania State University - Main Campus

Document Type

Article

Department

Mathematics (HMC)

Publication Date

8-2003

Abstract

In this article, we pursue the reverse strategy of using probability to derive a_n and develop an exponential generating function for a_n in Section 3. In Section 4, we present a method for finding an exact, non-recursive, formula for a_n.

Comments

First published in The Fibonacci Quarterly, vol. 41, no. 4 (August 2003), by the Fibonacci Association.

This article is also available at http://www.fq.math.ca/41-4.html.

Rights Information

© 2003 The Fibonacci Association

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Benjamin, A.T., Neer, J.D., Otero, D.T., & Sellers, J.A. (2002). A probabilistic view of certain weighted Fibonacci sums. Fibonacci Quarterly, 41(4): 360-364.