Complementary Equations with Advanced Subscripts
Department of Mathematics
University of Evansville
Evansville, IN 47722
Peter J. C. Moses
Engineering Division, Moparmatic Co.
Astwood Bank, Nr. Redditch
Worcestershire, B96 6DT
This paper discusses complementary equations,
such as an = bn +
which (an) and (bn) are strictly increasing complementary sequences for
which, in addition to the subscript n, at least one subscript in advance
of n, such as n + 1 or 2n, occurs.
Some of the equations are solved
with proofs, and others are presented as conjectures or examples based
on Mathematica programs that appear in the final section of the paper.
Full version: pdf,
(Concerned with sequences
Received December 2 2020; revised version received February 6 2021.
Published in Journal of Integer Sequences,
February 6 2021.
Journal of Integer Sequences home page