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Search: id:A054670
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| A054670 |
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Numerators of (reduced) coefficients of Laurent series for conformal mapping from exterior of unit disk onto exterior of Mandelbrot set. |
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+0
2
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| -1, 1, -1, 15, 0, -47, -1, 987, 0, -3673, 1, -61029, 0, -689455, -21, 59250963, 0, -164712949, 39, -2402805839, -1, -4850812329, 29, -18151141041, 0, 3534139462275, -1039, -22045971176589, -1, -750527255965871, -4579, 54146872254247683, 0
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Sum converges very slowly: 10^118 terms to get first two digits, 10^1181 for three digits.
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REFERENCES
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John H. Ewing and G. Schober, "The area of the Mandelbrot set", Numer. Math. vol. 61, pp. 59-72, 1992.
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LINKS
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Adam Majewski, Maxima code for this sequence
Robert P. Munafo, Laurent Series
Eric Weisstein's World of Mathematics, Mandelbrot Set
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MAPLE
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Munafo site gives Maple code.
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CROSSREFS
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Cf. A054671.
Sequence in context: A106239 A055965 A067154 this_sequence A015908 A040228 A040229
Adjacent sequences: A054667 A054668 A054669 this_sequence A054671 A054672 A054673
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KEYWORD
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frac,sign
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AUTHOR
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Robert Munafo (mrob(AT)mrob.com), Apr 18 2000
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EXTENSIONS
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Extended by Eric Weisstein (eric(AT)weisstein.com), Nov 27, 2005
Definition corrected by Adam Majewski (adammaj1(AT)o2.pl), Nov 17 2006
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