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,
(1) |
(2) |
(3) |
(4) |
(5) |
(6) |
(7) |
(8) |
(9) |
(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
© 1996-9 Eric W. Weisstein