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

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

Offset: 1

Author

Kival Ngaokrajang, May 05 2016

Keywords

• nonn
• more

Comments

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

Consider the case C = 1/4, 0 <= x <= 1/2. Draw the inscribed circles in the area between the parabola y = x^2 + 1/4 and the line y = x. The radii of the circles are found using AutoCAD's "tan-tan-tan" function. See details and illustration in the links.

Links

• Burkard Polster, The dark side of the Mandelbrot set, Mathologer video (2016).
• Kival Ngaokrajang, Illustration of initial terms.