Centralna Delannoyeva števila : magistrsko delo

Rus, Hana (author), Drinovec-Drnovšek, Barbara (mentor)

Centralna Delannoyeva števila $(d_n)_{n \ge 0} = 1, 3, 13, 63, 321, 1683, 8989, \ldots$ preštejejo poti v celoštevilski mreži od točke $(0, 0)$ do točke $(n, n)$ s koraki tipa $(1, 0)$, $(0, 1)$ in $(1, 1)$. Predstavimo še 28 objektov, ki jih lahko preštejemo z Delannoyevimi števili.

• Language: Slovenian
• Keywords: centralna Delannoyeva števila, pot, bijekcija, rodovna funkcija
• Work type: Master's thesis/paper
• Typology: 2.09 - Master's Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2021
• PID: 20.500.12556/RUL-128512
• UDC: 519.1
• COBISS.SI-ID: 70314499
• Publication date in RUL: 16.07.2021

Secondary language

• Language: English
• Title: The central Delannoy numbers

Abstract

The central Delannoy numbers $(d_n)_{n \ge 0} = 1, 3, 13, 63, 321, 1683, 8989, \ldots$ count number of lattice paths running from $(0, 0)$ to $(n, n)$ that use the steps $(1, 0)$, $(0, 1)$ and $(1, 1)$. We give a collection of 28 objects which are counted by central Delannoy numbers.

• Keywords: central Delannoy numbers, path, bijection, generating function