Title: Generalizing the Conway-Hofstadter $10,000 Sequence
Abstract: We introduce a generalization of the Conway-Hofstadter $10,000 sequence. The sequences introduced, called k-sequences, preserve the Conway-Hofstadter-Fibonaccilike structure of forming terms in the sequence by adding together two previous terms, equidistant from the start and end of the sequence. We examine some particular k-sequences, investigate relationships to known integer sequences, establish some properties which hold for all k, and show how to solve many of the deflning nonlinear recursions by examining related underlying sequences termed clock sequences.
Publication Year: 2004
Publication Date: 2004-10-01
Language: en
Type: article
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Cited By Count: 3
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