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The Encyclopedia of Integer Sequences
"... This article gives a brief introduction to the OnLine Encyclopedia of Integer Sequences (or OEIS). The OEIS is a database of nearly 90,000 sequences of integers, arranged lexicographically. The entry for a sequence lists the initial terms (50 to 100, if available), a description, formulae, programs ..."
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This article gives a brief introduction to the OnLine Encyclopedia of Integer Sequences (or OEIS). The OEIS is a database of nearly 90,000 sequences of integers, arranged lexicographically. The entry for a sequence lists the initial terms (50 to 100, if available), a description, formulae, programs to generate the sequence, references, links to relevant web pages, and other
Generalizing the ConwayHofstadter $10,000 Sequence
"... We introduce a generalization of the ConwayHofstadter $10,000 sequence. The sequences introduced, called ksequences, preserve the ConwayHofstadterFibonaccilike structure of forming terms in the sequence by adding together two previous terms, equidistant from the start and end of the sequence. We ..."
Abstract
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We introduce a generalization of the ConwayHofstadter $10,000 sequence. The sequences introduced, called ksequences, preserve the ConwayHofstadterFibonaccilike 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 ksequences, investigate relationships to known integer sequences, establish some properties which hold for all k, and show how to solve many of the defining nonlinear recursions by examining related underlying sequences termed clock sequences.