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A054671 Denominators of (reduced) coefficients of Laurent series for conformal mapping from exterior of unit disk onto exterior of Mandelbrot set. 1
2, 8, 4, 128, 1, 1024, 16, 32768, 1, 262144, 32, 4194304, 1, 33554432, 512, 2147483648, 1, 17179869184, 2048, 274877906944, 64, 2199023255552, 2048, 70368744177664, 1, 562949953421312, 131072, 9007199254740992, 256 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Sum converges very slowly: 10^118 terms to get first two digits, 10^1181 for three digits.
REFERENCES
John H. Ewing and G. Schober, "The area of the Mandelbrot set", Numer. Math. vol. 61, pp. 59-72, 1992.
LINKS
Robert P. Munafo, Laurent Series
Eric Weisstein's World of Mathematics, Mandelbrot Set
MAPLE
Munafo site gives Maple code.
CROSSREFS
Cf. A054670.
Sequence in context: A213456 A210422 A085568 * A203269 A011058 A368644
KEYWORD
frac,nonn
AUTHOR
Robert Munafo, Apr 18 2000
EXTENSIONS
Extended by Eric W. Weisstein, Nov 27 2005
Definition corrected by Adam Majewski (adammaj1(AT)o2.pl), Nov 17 2006
STATUS
approved

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Last modified March 19 02:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)