A218453 Decimal expansion of the Myrberg point.

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

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

Table of n, a(n) for n=1..65.

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

Cf. A006890, A006891.

Sequence in context: A250204 A096459 A293301 * A324563 A186372 A200893

Adjacent sequences: A218450 A218451 A218452 * A218454 A218455 A218456

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