Journal of Integer Sequences, Vol. 23 (2020), Article 20.2.1

Combinatorial Interpretation of Generalized Pell Numbers

Jhon J. Bravo and Jose L. Herrera
Departamento de Matemáticas
Universidad del Cauca

José L. Ramírez
Departamento de Matemáticas
Universidad Nacional de Colombia


In this note we give combinatorial interpretations for the generalized Pell sequence of order k by means of lattice paths and generalized bi-colored compositions. We also derive some basic relations and identities by using Riordan arrays.

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(Concerned with sequences A000045 A000129 A038207 A077939 A102036.)

Received July 13 2019; revised version received October 2 2019; October 4 2019. Published in Journal of Integer Sequences, December 31 2019.

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