Lucas Representations of Positive Integers
Department of Mathematics
University of Evansville
Evansville, Indiana 47722
Various kinds of representations of positive integers using nonconsecutive Lucas numbers are used to define arrays related to the Wythoff array. The columns of these arrays, or their order arrays, partition the positive integers. Limiting densities are found for numbers whose Lucas representations all have the same least term.
Full version: pdf,
(Concerned with sequences
Received June 14 2020; revised version received September 29 2020; October 13 2020.
Published in Journal of Integer Sequences,
October 15 2020.
Journal of Integer Sequences home page