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

1,1

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

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