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Título:	Triangular sequences, combinatorial recurrences and linear difference equations
Autor/a:	Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, María José
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial
Abstract:	In this work we introduce the triangular double sequences of arbitrary order given by linear recurrences, that generalize some well-known recurrences that appear in enumerative combinatorics. In particular, we focussed on triangular sequences generated by two double sequences and establish their relation with the solution of linear three-term recurrences. We show through some simple examples how these triangular sequences appear as essential components in the expression of some classical orthogonal polynomials and combinatorial numbers.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria -Combinatorial analysis -Combinatorial identities -Triangular matrices -Linear difference equations -Three-term recurrences -Orthogonal polynomials -Anàlisi combinatòria -Classificació AMS::11 Number theory::11B Sequences and sets -Classificació AMS::39 Difference and functional equations::39A Difference equations -Classificació AMS::05 Combinatorics::05A Enumerative combinatorics
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
Editor:	Elsevier
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