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A218453 Decimal expansion of the Myrberg point. 1
1, 4, 0, 1, 1, 5, 5, 1, 8, 9, 0, 9, 2, 0, 5, 0, 6, 0, 0, 5, 2, 3, 8, 2, 6, 7, 8, 7, 8, 9, 3, 8, 6, 1, 2, 9, 2, 2, 2, 6, 3, 0, 8, 0, 4, 3, 3, 9, 7, 3, 1, 9, 6, 0, 8, 9, 3, 7, 2, 6, 1, 4, 9, 6, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
"3.3 The sequence of bubbles {B_n}_{n=0...oo} in exercise 3.2 converges to the 'Myreberg point', lambda = 1.40115...." [Barnsley, 2012, p.314]
[Author M. Barnsley consistently spells incorrectly "Myreberg" the name of Pekka J. Myrberg (1892-1976). We leave the original spelling in this citation to improve search results for this phrase. - M. F. Hasler, May 01 2018]
LINKS
Michael F. Barnsley, Fractals Everywhere, New Edition, Dover Publications, Inc., Mineola, NY, 2012, page 314. ISBN:9780486488707
Michael F. Barnsley, SuperFractals, Patterns of Nature, Cambridge University Press, United Kingdom, 2006. ISBN 9780521844932.
Michael F. Barnsley, Superfractals (personal web site).
David E. Joyce, Julia and Mandelbrot Sets, Clark University, 1994.
Faber McMullen, The Edge of Chaos (personal web page, updated April 2018).
Wikipedia, Pekka Myrberg.
EXAMPLE
1.40115518...
CROSSREFS
Sequence in context: A250204 A096459 A293301 * A324563 A186372 A200893
KEYWORD
nonn,more,cons
AUTHOR
Michael Barnsley (Michael.Barnsley(AT)anu.edu.au) and Robert G. Wilson v, Oct 28 2012
EXTENSIONS
More terms from Joerg Arndt, Oct 31 2012
Removed the terms given Oct 31 2012 (these corresponded to the fixed point of f^(2^24) on the real axis). - Joerg Arndt, Jul 17 2016
More terms from Michael Lontke, Irena Rubtsova, and Joerg Arndt, Jan 16 2017
STATUS
approved

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Last modified May 25 14:05 EDT 2024. Contains 372788 sequences. (Running on oeis4.)