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N.B. A detailed on-line essay by S. Finch was the starting point for this entry.
A quadratic recurrence is a Recurrence Relation on a Sequence of numbers expressing
as a
second degree polynomial in
with
. For example,
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(1) |
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(2) |
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(3) |
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(4) |
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(5) |
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(6) |
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(7) |
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(8) |
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(9) |
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(10) |
See also Mandelbrot Set, Recurrence Relation
References
Aho, A. V. and Sloane, N. J. A. ``Some Doubly Exponential Sequences.'' Fib. Quart. 11, 429-437, 1973.
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/quad/quad.html
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© 1996-9 Eric W. Weisstein