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

Author

Michael Barnsley (Michael.Barnsley(AT)anu.edu.au) and Robert G. Wilson v, Oct 28 2012

Keywords

• nonn
• more
• cons

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]

Examples

			1.4011551890920506005238267878938612922263...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 6.8.3, p. 439.

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.

Crossrefs

Cf. A006890, A006891.

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