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A054670 Numerators of (reduced) coefficients of Laurent series for conformal mapping from exterior of unit disk onto exterior of Mandelbrot set. 1

%I #8 Mar 31 2012 20:35:59

%S -1,1,-1,15,0,-47,-1,987,0,-3673,1,-61029,0,-689455,-21,59250963,0,

%T -164712949,39,-2402805839,-1,-4850812329,29,-18151141041,0,

%U 3534139462275,-1039,-22045971176589,-1,-750527255965871,-4579,54146872254247683,0

%N Numerators 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. A054671.

%K frac,sign

%O 0,4

%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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