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A279903 Decimal expansion of Hausdorff dimension of E_{1,2}: set of irrationals whose continued fraction expansion consists only of 1's and 2's. 0
5, 3, 1, 2, 8, 0, 5, 0, 6, 2, 7, 7, 2, 0, 5, 1, 4, 1, 6, 2, 4, 4, 6, 8, 6, 4, 7, 3, 6, 8, 4, 7, 1, 7, 8, 5, 4, 9, 3, 0, 5, 9, 1, 0, 9, 0, 1, 8, 3, 9, 8, 7, 7, 9, 8, 8, 8, 3, 9, 7, 8, 0, 3, 9, 2, 7, 5, 2, 9, 5, 3, 5, 6, 4, 3, 8, 3, 1, 3, 4, 5, 9, 1, 8, 1, 0, 9, 5, 7, 0, 1, 8, 1, 1, 8, 5, 2, 3, 9, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..99.

Oliver Jenkinson, On the density of Hausdorff dimensions of bounded type continued fraction sets: The Texan conjecture, Stoch. Dyn. 04, 63 (2004).

Oliver Jenkinson and Mark Pollicott, Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: a hundred decimal digits for the dimension of E_2, arXiv:1611.09276 [math.DS], 2016.

M. H. Kolkhuis Tanke, Continued fractions with restricted digits and their Hausdorff dimension (bachelor thesis), 2016.

EXAMPLE

dim(E_{1,2}) = 0.531280506277205141624468647368471785493059109018398779...

CROSSREFS

Sequence in context: A196613 A151903 A160276 * A242439 A176318 A190406

Adjacent sequences:  A279900 A279901 A279902 * A279904 A279905 A279906

KEYWORD

nonn,cons

AUTHOR

Andrey Zabolotskiy, Dec 22 2016

EXTENSIONS

More terms from Andrey Zabolotskiy, Aug 08 2017 from Jenkinson & Pollicott, 2016.

STATUS

approved

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Last modified October 18 22:48 EDT 2018. Contains 316327 sequences. (Running on oeis4.)