A272721 The circle curvature (rounded down) inscribed in the area related to critical point of Mandelbrot set at C = 1/4.

13, 23, 35, 50, 66, 83, 103, 123, 146, 170, 196, 223

Offset

1,1

Comments

Inspired by "The dark side of the Mandelbrot set".

Consider the case of C = 1/4, 0 <= x <= 1/2, draw the inscribed circles in the area between parabola curve, y = x^2 + 1/4 and the line y = x. The circle radii are found with the "tan-tan-tan" function from AutoCAD program. See details and illustration in the links.

Links

Table of n, a(n) for n=1..12.

Burkard Polster, The dark side of the Mandelbrot set, Mathologer video (2016).

Kival Ngaokrajang, Illustration of initial terms

Crossrefs

Sequence in context: A351686 A165459 A108794 * A089777 A050857 A089714

Adjacent sequences: A272718 A272719 A272720 * A272722 A272723 A272724

Keyword

nonn,more

Author

Kival Ngaokrajang, May 05 2016

Status

approved