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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

%I #11 Aug 04 2017 11:48:40

%S 2,8,4,128,1,1024,16,32768,1,262144,32,4194304,1,33554432,512,

%T 2147483648,1,17179869184,2048,274877906944,64,2199023255552,2048,

%U 70368744177664,1,562949953421312,131072,9007199254740992,256

%N Denominators of (reduced) coefficients of Laurent series for conformal mapping from exterior of unit disk onto exterior of Mandelbrot set.

%C Sum converges very slowly: 10^118 terms to get first two digits, 10^1181 for three digits.

%D John H. Ewing and G. Schober, "The area of the Mandelbrot set", Numer. Math. vol. 61, pp. 59-72, 1992.

%H Adam Majewski, <a href="http://republika.pl/fraktal/maxima.html">Maxima code for this sequence</a>

%H Robert P. Munafo, <a href="http://www.mrob.com/pub/muency/laurentseries.html">Laurent Series</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MandelbrotSet.html">Mandelbrot Set</a>

%p Munafo site gives Maple code.

%Y Cf. A054670.

%K frac,nonn

%O 0,1

%A _Robert Munafo_, Apr 18 2000

%E Extended by _Eric W. Weisstein_, Nov 27 2005

%E Definition corrected by Adam Majewski (adammaj1(AT)o2.pl), Nov 17 2006

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Last modified April 24 09:42 EDT 2024. Contains 371935 sequences. (Running on oeis4.)