Walking into an absolute sum

Simple item page
dc.creatorTuenter, Hans J. H.
dc.date2006-06-04
dc.date.accessioned2026-07-07T08:07:53Z
dc.date.available2026-07-07T08:07:53Z
dc.descriptionWe investigate a combinatorial sum that can be interpreted as the moments of a random variate, measuring the absolute distance to the origin in a symmetric Bernoulli random walk. These sums can be characterized by polynomials related to the Dumont-Foata polynomials. The sums corresponding to the odd moments have a connection to the Gandhi polynomials and Genocchi numbers.
dc.descriptionRelated sequence in "The On-Line Encyclopedia of Integer Sequences" is A083061. See http://www.research.att.com/~njas/sequences/A083061
dc.identifierhttps://arxiv.org/abs/math/0606080
dc.identifierhttp://arxiv.org/abs/math/0606080
dc.identifierThe Fibonacci Quarterly, 40(2):175-180, May 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131082
dc.subjectNumber Theory
dc.subjectStatistics Theory
dc.subject11B65; 60G50
dc.titleWalking into an absolute sum
dc.typetext

Files

Collections

arXiv