A058914 Continued fraction expansion of one of four fixed points (mod 1) of Minkowski's question mark function (specifically, the only positive fixed point (mod 1) less than 1/2).

0, 2, 2, 1, 1, 1, 3, 2, 3, 1, 2, 4, 1, 1, 2, 3, 1, 2, 5, 1, 3, 2, 3, 1, 3, 1, 2, 3, 2, 1, 4, 1, 4, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 3, 1, 2, 2, 5, 1, 1, 2, 2, 2, 1, 3, 2, 1, 3, 4, 2, 1, 3, 1, 3, 1, 1, 1, 2, 2, 2, 1, 2, 1, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 2, 3, 2, 1, 2, 2, 4, 2, 6, 1, 2, 2, 2, 5, 2

Offset

0,2

Comments

Continued fraction expansions for the other fixed points (mod 1) are {0}, {0,2} and A120221. - Joseph Biberstine (jrbibers(AT)indiana.edu), Jun 10 2006

References

J. H. Conway, On Numbers and Games, Academic Press, New-York, 1976.

Links

Nikita Shulga, Table of n, a(n) for n = 0..5489

Dmitry Gayfulin and Nikita Shulga, Diophantine properties of fixed points of Minkowski question mark function, arXiv:1811.10139 [math.NT], 2018.

Nikita Shulga, 5000+ terms

Nikita A. Shulga, Diophantine properties of fixed points and derivative of iterations of Minkowski question mark function, Lomonosov Moscow State University, Möbius Contest 2020.

Index entries for sequences related to Minkowski's question mark function

Crossrefs

Cf. A048819, A120221.

Sequence in context: A331182 A182591 A321393 * A238585 A123682 A134513

Adjacent sequences: A058911 A058912 A058913 * A058915 A058916 A058917

Keyword

cofr,nonn

Author

Francois LAUBIE (laubie(AT)unilim.fr), Jan 10 2001

Extensions

Corrected and extended by Nikita Shulga, Nov 21 2018

Status

approved