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In this section, using the Euler-Seidel matrix method, we are able to reprove some known identities of Stirling numbers of second kind, exponential numbers and polynomials.. Using
Here, we find recurrence relations for the Hankel transform of more general linear combinations of Catalan numbers, involving up to four adjacent Catalan numbers, with
In Section 2 we discuss the connection between the decomposition of a Hankel matrix and Stieltjes matrices, and in Section 3 we discuss the connection between certain lattice paths
In this paper we study the action of the Binomial and Invert (interpolated) operators on the set of linear recurrent sequences.. We prove that these operators preserve this set, and
We begin with an introductory section, where we define what this article will understand as a generalized Pascal matrix, as well as looking at the binomial transform, the Riordan
We show how various transformations of integer sequences, normally realized by Riordan or generalized Riordan arrays, can be translated into continued fraction form.. We also
We begin by looking at Pascal’s triangle, the binomial transform, exponential Riordan arrays, the Narayana numbers, and briefly summarize those features of the Hermite and
In this note, we explore links between the Krawtchouk polynomials and Riordan arrays, of both ordinary and exponential type, and we study integer sequences defined by evaluating
