A New Approach to Signed Eulerian Numbers
组合数学
2007-05-23 v1
摘要
The numbers of even and odd permutations with a given ascent number are investigated using an operator that was previously introduced by the author. Their difference is called a signed Eulerian number. By means of the operator the recurrence relation for signed Eulerian numbers is deduced, which was obtained by an analytic method. Our approach is straightforward and enables us to deduce other properties including divisibility by prime powers.
引用
@article{arxiv.math/0602263,
title = {A New Approach to Signed Eulerian Numbers},
author = {Shinji Tanimoto},
journal= {arXiv preprint arXiv:math/0602263},
year = {2007}
}
备注
9 pages