Euler-Catalan’s number triangle and its application
Статья в сборнике трудов конференции
In this paper we study labeled binary trees of size n with m ascents on the left branch. For this combinatorial object we present the relation of the generated number triangle to Catalan’s and Euler’s triangles. On the basis of properties of Catalan’s and Euler’s triangles, we obtain an explicit formula that counts the total number of such trees and an exponential generating function.
Библиографическая запись: Shablya, Y. V. Euler-Catalan’s number triangle and its application / Y. V. Shablya, D. V. Kruchinin // The Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (Antalya, 26-29 October 2018): Proseedings Book of MICOPAM. - Antalya, 2018. - P. 212–216.
Ключевые слова:
NUMBER TRIANGLE LABELED BINARY TREE CATALAN’S TRIANGLE EULER’S TRIANGLE GENERATING FUNCTIONКонференция:
- The Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2018)
- Турция, Antalya, 26-29 октября 2018,
- Международная
Издательство:
Skolski Servis Gajic Doo
Сербия, Beograd