Boletin de la Sociedad Matematica Mexicana, cilt.27, sa.3, 2021 (ESCI)
© 2021, The Author(s).In this paper, we study a generalization of Narayana’s numbers and Padovan’s numbers. This generalization also includes a sequence whose elements are Fibonacci numbers repeated three times. We give combinatorial interpretations and a graph interpretation of these numbers. In addition, we examine matrix generators and determine connections with Pascal’s triangle.