For fixed positive integer k, let E n denote the set of lattice paths using the steps 1 1 , 1 -1 , and k 0 and running from 0 0 to n 0 while remaining strictly above the x-axis elsewhere. We first prove bijectively that the total area of the regions bounded by the paths of E n and the x-axis satisfi
✦ LIBER ✦
Some bijective results about the area of Schröder paths
✍ Scribed by L. Ferrari; E. Grazzini; E. Pergola; S. Rinaldi
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 211 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
✦ Synopsis
In the existing literature there are many combinatorial interpretations for the sequence (ai)i¿1=
📜 SIMILAR VOLUMES
A Bijective Approach to the Area of Gene
✍
E. Pergola; R. Pinzani; S. Rinaldi; R.A. Sulanke
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 105 KB
Some results about the sample path prope
✍
Wu Chuan-ju; Liu Lu-qin
📂
Article
📅
2005
🏛
Wuhan University
🌐
English
⚖ 316 KB
Some further results on the height of la
✍
Walter Katzenbeisser; Wolfgang Panny
📂
Article
📅
1993
🏛
Elsevier Science
🌐
English
⚖ 506 KB
Some results about the interval number o
✍
Christoph Maas
📂
Article
📅
1983
🏛
Elsevier Science
🌐
English
⚖ 213 KB
Some results about the NBUC class of lif
✍
Xiaohu Li; Zehui Li; Bing-Yi Jing
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 95 KB
NBUC class life distributions are dealt with in this paper. Firstly, a lower bound of the reliability function based upon mean and variance (both assumed ÿnite) is presented. It is shown that the bound e ectively improves "known bounds" for NBU life distributions. Secondly, a su cient condition char
Some results about the projective normal
✍
Luis Fuentes García
📂
Article
📅
2005
🏛
Springer
🌐
English
⚖ 110 KB