Integer sequences are part of our mathematical and physical environment. This book has described many different classes of sequences which have been shown to be derived from various mathematical principles. In this chapter I return to the q-octic fraction that transforms a negative integer into a real solution of the Weber functions. The q-octic fraction is not limited to Weber functions and it is shown that real numbers between integers can be transformed into real solutions of potentially an infinite number of polynomial sequences. Expressions are derived that can generate sequences only from the norm of the q-octic fraction suggesting the Ramanujan ladder is a continuous function of negative real numbers and calculate real solutions to polynomials of integer degree.
Chapter 51 New Sequences from the Weber g Class Invariants
Published
Perrin Sequences My Chalkboard 