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Search: id:A054671
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| A054671 |
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Denominators of (reduced) coefficients of Laurent series for conformal mapping from exterior of unit disk onto exterior of Mandelbrot set. |
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2
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| 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; listen)
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OFFSET
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0,1
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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. A054670.
Sequence in context: A019194 A038214 A085568 this_sequence A011058 A021782 A052240
Adjacent sequences: A054668 A054669 A054670 this_sequence A054672 A054673 A054674
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KEYWORD
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frac,nonn
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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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