A272721 - OEIS

%I #14 May 23 2024 00:50:20

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

%N 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.

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

%C 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.

%H Burkard Polster, <a href="https://www.youtube.com/watch?v=9gk_8mQuerg">The dark side of the Mandelbrot set</a>, Mathologer video (2016).

%H Kival Ngaokrajang, <a href="/A272721/a272721.pdf">Illustration of initial terms</a>.

%K nonn,more

%O 1,1

%A _Kival Ngaokrajang_, May 05 2016