2020/10/31 by He, Tian-Xiao
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2011.00173
For an integer p≥ 2 we construct vertical and horizontal one-pth Riordan arrays from a Riordan array. When p=2, one-pth Riordan arrays reduced to well known half Riordan arrays. The generating functions of the A-sequences of vertical and horizontal one-pth Riordan arrays are found. The vertical and horizontal one-pth Riordan arrays provide an approach to construct many identities. They can also be used to verify some well known identities readily.