3 research outputs found
A note on the k-Narayana sequence
In the present article, we define the k-Narayana sequence of integer num-
bers. We study recurrence relations and some combinatorial properties of
these numbers, and of the sum of their first n terms. These properties are
derived from matrix methods. We also study some relations between the
k-Narayana sequence and convolved k-Narayana sequence, and permanents
and determinants of one type of Hessenberg matrix. Finally, we show how
these sequences arise from a family of substitutions