A193780 Decimal expansion of the area of the second Mandelbrot set lemniscate.

6, 2, 5, 8, 5, 6, 9, 2, 3, 7, 0, 5, 0, 2, 2, 7, 5, 7, 7, 7, 3, 0, 2, 9, 5, 2, 3, 6, 6, 5, 0, 9, 0, 5, 3, 9, 5, 2, 4, 6, 8, 7, 5, 4, 0, 2, 6, 7, 0, 0, 5, 0, 9, 3, 1, 2, 5, 9, 4, 8, 4, 4, 4, 2, 5, 5, 2, 7, 0, 8, 7, 4, 7, 7, 6, 2, 3, 3, 3, 5, 0, 4, 3, 3, 3, 7, 2, 6, 1, 2, 3, 2, 8, 9, 8, 4, 4, 6, 3, 0, 4, 5, 8, 1, 2

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Mandelbrot Set Lemniscate

Example

6.258569237...

Mathematica

f[x_, y_] = (x^2 + y^2)*((x + 1)^2 + y^2) - 4; f[x_] = y /. Solve[f[x, y] == 0, y][[4]]; Take[RealDigits[ 2*NIntegrate[f[x], {x, -2, 1}, WorkingPrecision -> 120]][[1]], 105]

Crossrefs

Cf. A193781 (perimeter).

Sequence in context: A011489 A093601 A297981 * A220260 A238901 A166200

Adjacent sequences: A193777 A193778 A193779 * A193781 A193782 A193783

Keyword

nonn,cons

Author

Jean-François Alcover, Aug 05 2011

Status

approved