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Washington State
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Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

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March 29, Monday, 4:10 - 5:00 PM

Jessica Dickson

Department of Mathematics and Statistics

Washington State University

Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

Zoom

March 29, Monday, 4:10 - 5:00 PM

Jessica Dickson

Department of Mathematics and Statistics

Washington State University

Title: The Production Matrix of a Riordan Array

Abstract: Formally, a Riordan array is defined as an infinite, lower triangular array determined by pair of formal power series where, and, with generic element. However, Riordan arrays can also be characterized by the triple where is the -sequence that gives the th column of the array and is the -sequence which constructs the rows of the array.

Abstract: Formally, a Riordan array is defined as an infinite, lower triangular array determined by pair of formal power series where, and, with generic element. However, Riordan arrays can also be characterized by the triple where is the -sequence that gives the th column of the array and is the -sequence which constructs the rows of the array.

In this talk we explore the relationship between the formal power series and of a Riordan array and it is - and - sequences and their simultaneous relationship to the production matrix of that Riordan array.