𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Ballot problems

✍ Scribed by Lajos Takács


Book ID
105326570
Publisher
Springer
Year
1962
Tongue
English
Weight
235 KB
Volume
1
Category
Article
ISSN
1432-2064

No coin nor oath required. For personal study only.


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n-dimensional lattice paths which do not touch the hyperplanes xi-xi + I = -1, i = 1,2, , n -1, and x,-x1 = -1 -K arc enumerated by certain statistics, one of which is MacMahon's major index, the others being variations of it. By a reflection-like proof, a formula involving determinants is obtained.