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A272408 Decimal expansion of the Hausdorff dimension of the Rauzy fractal boundary. 1
1, 0, 9, 3, 3, 6, 4, 1, 6, 4, 2, 8, 2, 3, 0, 6, 6, 3, 9, 9, 2, 2, 4, 4, 7, 7, 0, 1, 1, 7, 3, 0, 7, 3, 4, 6, 8, 1, 6, 9, 9, 5, 6, 2, 3, 3, 7, 4, 1, 1, 1, 4, 2, 6, 4, 1, 1, 4, 9, 7, 2, 9, 9, 4, 2, 0, 7, 2, 5, 9, 1, 1, 8, 5, 2, 3, 7, 0, 8, 9, 7, 5, 0, 5, 2, 9, 7, 5, 0, 5, 4, 4, 5, 4, 9, 7, 9, 8, 4, 7, 9, 3, 3, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Recipe: find the roots of z^3-z^2-z-1=0. The real one is the tribonacci constant (A058265) and is of no interest here. The other two are complex conjugates; denote their shared magnitude b. Now this constant is the solution of 2*b^(3x)+b^(4x) = 1.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..2000

Wikipedia, Rauzy fractal

EXAMPLE

1.09336416428230663992244770117307346816995623374111426411497299420...

PROG

(PARI) \\ Using 2010 digits realprecision:

b=abs(polroots(Pol([1, -1, -1, -1]))[2]);

a=solve(x=1, 2, 2*b^(3*x)+b^(4*x)-1)

CROSSREFS

Cf. A058265.

Sequence in context: A063569 A037921 A019878 * A177910 A198416 A097902

Adjacent sequences:  A272405 A272406 A272407 * A272409 A272410 A272411

KEYWORD

nonn,cons,easy

AUTHOR

Stanislav Sykora, Apr 29 2016

STATUS

approved

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Last modified May 23 04:09 EDT 2017. Contains 286909 sequences.