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Then

By H. W. Gould

Abstract

There is no.really new theoretical result below. However, our paper will show how to use an old and clever idea in order to discover recurrences. Such an expository paper surveying these techniques may be of interest. A few specific books or papers are needed, but for general background as to notations and definitions for Fibonacci, Bernoulli, Bell, and Stirling numbers, etc., the reader may consult papers in the Fibonacci Quarterly or Riordan's books [6], [7]. Niven [5] has given a good, readable account of formal power series. It is shown there when and why convergence questions may be ignored. Finally, four papers of the author, [1], [2], [3], and [4], may be consulted for other background information. Reference [1] is especially useful for an abundance of intricate generating functions for powers of Fibonacci numbers. We begin with a small theorem about formal power series

Topics: 166 [MaySERIES TRANSFORMATIONS FOR FINDING RECURRENCES FOR SEQUENCES
Year: 1988
OAI identifier: oai:CiteSeerX.psu:10.1.1.388.1845
Provided by: CiteSeerX
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