Abstract
We introduce the definition of the r-central coefficient matrices of a given Riordan array. Applying this definition and Lagrange Inversion Formula, we can calculate the r-central coefficient matrices of Catalan triangles and obtain some interesting triangles and sequences.
Highlights
We introduce the definition of the r-central coefficient matrices of a given Riordan array
Riordan arrays have drawn the attention of various authors from many points of view in the recent literature
The set of all Riordan arrays forms a group under ordinary matrix multiplication
Summary
Riordan arrays have drawn the attention of various authors from many points of view in the recent literature. We introduce the definition of the r-central coefficient matrices of a given Riordan array. Inversion Formula, we can calculate the r-central coefficient matrices of Catalan triangles and obtain some interesting triangles and sequences. An infinite lower triangular matrix D = (dn,k )n,k≥0 is called a Riordan array if the generating function of its column k is d(t)h(t)k ,
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