Integer Sequences Related to the Mandelbrot Set

There are several integer sequences that count features in the Mandelbrot Set:

2, 2, 4, 2, 6, 4, 6, 4, ... Sloane's A000010, the Euler totient function, which counts the number of secondary continental mu-atoms

3, 6, 15, 27, ... Sloane's A000740, Period-N mu-atoms

2, 3, 4, 6, 6, 9, ... Sloane's A006874, Period-N Continental mu-atoms

2, 3, 4, 7, 6, 12, ... Sloane's A006875, Period-N Non-seed mu-atoms

3, 11, 20, 57, ... Sloane's A006876, Period-N mu-molecules

All of these sequences are explained, and the formulas for computing them are given, here.


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