On the Central Antecedents of Integer (and Other) Sequences
School of Science
Waterford Institute of Technology
With each power series g(x) with g(0)
≠ 0, we associate a power series G(x) such that
[xn]g(x). We give examples
for well-known integer sequences, including the Catalan numbers and
generalized Catalan numbers, and explore the antecedents of rational
sequences, including the Bernoulli numbers and the harmonic numbers.
Full version: pdf,
(Concerned with sequences
Received June 23 2020; revised version received September 2 2020.
Published in Journal of Integer Sequences,
September 2 2020.
Journal of Integer Sequences home page