Constitutive State Counting Functions.

Written by Michael Thomas De Vlieger, St. Louis, Missouri, 2023 0226.

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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See also SA20230216 about the symmetric semidivisor counting function, and SA20230222 about the symmetric semitotative counting function.

Concerns OEIS sequences:

A000005, A000010, A000040, A000961, A001221, A007947, A010846, A013929, A024619, A045763, A051953, A053669, A120944, A126706, A183093, A183094, A246547, A275055, A275280, A355432, A360480, A360543, A360765, A360767, A360768, A360769, A361235.

To cite:

Michael Thomas De Vlieger, Constitutive State Counting Functions, Simple Sequence Analysis, Article 20230226.