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A272721 The circle curvature (rounded down) inscribed in the area related to critical point of Mandelbrot set at C = 1/4. 2

%I

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

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

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

%C 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.

%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

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Last modified June 25 09:45 EDT 2021. Contains 345453 sequences. (Running on oeis4.)