Some nice Hankel determinants
Combinatorics
2011-10-07 v2 History and Overview
Abstract
I study Hankel determinants of a class of sequences which can be interpreted as generalizations of the Catalan numbers and the central binomial coefficients. They follow a modular pattern with a frequent appearance of zeroes, so that the theory of orthogonal polynomials is not applicable. Even so our theorems and conjectures show some similarity with the relations between Catalan numbers and Fibonacci polynomials or between central binomial coefficients and Lucas polynomials.
Cite
@article{arxiv.1109.1449,
title = {Some nice Hankel determinants},
author = {Johann Cigler},
journal= {arXiv preprint arXiv:1109.1449},
year = {2011}
}
Comments
45 pages