Some remarks and conjectures related to lattice paths in strips along the x-axis
Combinatorics
2016-06-24 v6 Classical Analysis and ODEs
Abstract
In the first part of this paper I give an elementary overview about some number sequences which count various sorts of lattice paths in strips along the x-axis and compute their generating functions in terms of Fibonacci and Lucas polynomials. In the second part I generalize these results by introducing suitable weights and study some special cases in more detail. In the course of this work I have been led to curious number triangles and various conjectures
Keywords
Cite
@article{arxiv.1501.04750,
title = {Some remarks and conjectures related to lattice paths in strips along the x-axis},
author = {Johann Cigler},
journal= {arXiv preprint arXiv:1501.04750},
year = {2016}
}
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