Journal of Advances in Mathematics and Computer Science

On a Generalization of the Padovan Numbers

Sergio Falcon *

Departamento de Matem´aticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017-Las Palmas de Gran Canaria, Spain.

*Author to whom correspondence should be addressed.

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Abstract

This paper studies an extension of the classical Padovan sequence and that contains this as a particular case. Some very interesting formulas are found for the sum of these new sequences, for the sum of their squares as well as their self-convolution.

Keywords: Padovan numbers, generating function, self-convolution

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