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Almost all mathematicians have read, at one time or another, the words of Leopold Kronecker: "God made the positive integers; all else is the work of man." Almost everyone, whether a mathematician or not, can agree that there is something very, very basic about the numbers 1, 2, 3, 4, 5, . . ., not just for mathematics, but for all of science, and then some.
However, certain seemingly simple sequences of integers baffle the best mathematicians. Other sequences, less baffling, exhibit patterns - or absense of patterns - whose appeal shines beyond whatever applications these sequence might find outside mathematics. Examples: primes, Fibonacci numbers, and the Kolakoski sequence. |
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By returning to my home page, you can access information about kinds of sequences and arrays (sequences of sequences) that I find especially interesting. When you get there, just click on any of the topics under the heading "Integer Sequences and Arrays."