Integer Sequences and Arrays
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Clark Kimberling; Dept. of Mathematics, Univ. of Evansville, Evansville, IN  
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 OnLine Encyclopedia of Integer Sequences. Also links to Triangle Centers and some biographical studies.  


Levels:  High School (912), 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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