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A006875
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Non-seed mu-atoms of period n in Mandelbrot set.
(Formerly M0579)
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2
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0, 1, 2, 3, 4, 7, 6, 12, 12, 23, 10, 51, 12, 75, 50, 144, 16, 324, 18, 561, 156, 1043, 22, 2340, 80, 4119, 540, 8307, 28, 17521, 30, 32928, 2096, 65567, 366, 135432, 36, 262179
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Definitions and Maxima source code on second Munafo web page. [From Robert Munafo (mrob27(AT)gmail.com), Dec 12 2009]
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REFERENCES
| B. B. Mandelbrot, The Fractal Geometry of Nature, Freeman, NY, 1982, p. 183.
R. Penrose, The Emperor's New Mind, Penguin Books, NY, 1991, p. 138.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| R. P. Munafo, Mu-Ency - The Encyclopedia of the Mandelbrot Set
R. Munafo, Enumeration of Features [From Robert Munafo (mrob27(AT)gmail.com), Dec 12 2009]
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EXAMPLE
| Contribution from Robert Munafo (mrob27(AT)gmail.com), Dec 12 2009: (Start)
For n=1 the only mu-atom is the large cardioid, which is a seed.
For n=2 there is one, the large circular mu-atom centered at -1+0i, so a(2)=1.
For n=3 there is a seed (cardioid) at -1.75+0i, which doesn't count, and two non-seeds ("circles") at approx. -0.1225+-0.7448i, so a(3)=2. (End)
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CROSSREFS
| Cf. A006874, A006876.
Sequence in context: A091204 A106446 A036467 * A064554 A162425 A175686
Adjacent sequences: A006872 A006873 A006874 * A006876 A006877 A006878
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KEYWORD
| nonn
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AUTHOR
| mrob(AT)mrob.com (Robert P Munafo)
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