๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Even and Odd Pairs of Lattice Paths with Multiple Intersections

โœ Scribed by Ira M. Gessel; Walter Shur


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
345 KB
Volume
75
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

โœฆ Synopsis


We study the numbers M n, k r, s , N n, r k =M n, k r, r , N E (n, k, p), and N O (n, k, p), prove several simple relations among them, and derive a simpler formula for M n, k r, s than appears in .


๐Ÿ“œ SIMILAR VOLUMES


On Pairs of Lattice Paths with a Given N
โœ Markus Fulmek ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 307 KB

This formula was proved in [2] by means of generating functions. ## 2. INTERPRETATION OF THE FORMULA'S SUMMANDS Our bijection is based on an appropriate lattice-path-interpretation for the formula's summands (pointed out by Krattenthaler [4]): Clearly, we article no. TA962754 154 0097-3165ร‚97 25.0