The Symmetric Semitotative Counting Function.

Written by Michael Thomas De Vlieger, St. Louis, Missouri, 2023 0222.

Abstract.

We examine a species of numbers k in the cototient of n such that k has a divisor p that does not divide n, and n has a divisor q that does not divide k, called symmetric semicoprimality. Particularly, we examine a counting function f₁(n) = A360480(n) and note the resemblance of this function to A051953 = n − φ(n). This paper mildly relies upon concepts laid out in “Constitutive Basics”.

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Concerns OEIS sequences:

A000040, A000961, A001221, A002473, A003586, A005117, A007947, A013929, A024619, A120944, A126706, A133995, A162306, A272618, A272619, A360480, A360543, A360765, A360768.

To cite:

Michael Thomas De Vlieger, The Symmetric Semitotative Counting Function, Simple Sequence Analysis, Article 20230222.