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Integer Sequences and Arrays

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Author:Clark Kimberling; Dept. of Mathematics, Univ. of Evansville, Evansville, IN
Description: Certain seemingly simple sequences of integers baffle the best mathematicians. Other sequences, less baffling, exhibit patterns - or absence of patterns - whose appeal shines beyond whatever applications these sequence might find outside mathematics. Examples: primes, Fibonacci numbers, and the Kolakoski sequence; short essays on: Fractal Sequences (they contain themselves as proper subsequences); Interspersions and Dispersions, for example, the Wythoff array; Continued Fractions, Fibonacci numbers, golden mean, best approximations; and Unsolved Problems and Rewards; earn $300 !, with a link to Sloane's On-Line Encyclopedia of Integer Sequences. Also links to Triangle Centers and some biographical studies.

Levels: High School (9-12), College
Languages: English
Resource Types: Articles, Dictionaries, Glossaries, Thesauri
Math Topics: Golden Ratio/Fibonacci, Prime Numbers, Fractals, Number Theory, Sequences and Sets, Fibonacci Sequence

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