Central and Local Limit Theorems for Numbers of the Tribonacci Triangle

Igoris Belovas
2021 Mathematics  
In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of convergence to the limiting (normal) distribution, as well as a new proof of the local limit theorem for the numbers of the tribonacci triangle.
doi:10.3390/math9080880 fatcat:mv7dv6c6rbdyjacqynoiwafygm