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

-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

Offset

0,4

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

Table of n, a(n) for n=0..32.

Adam Majewski, Maxima code for this sequence

Robert P. Munafo, Laurent Series

Eric Weisstein's World of Mathematics, Mandelbrot Set

Maple

Munafo site gives Maple code.

Crossrefs

Cf. A054671.

Sequence in context: A187486 A141027 A186436 * A277929 A303231 A225346

Adjacent sequences: A054667 A054668 A054669 * A054671 A054672 A054673

Keyword

frac,sign

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