On Generalized co-Narayana Numbers

In this paper, we introduce and investigate a new third order recurrence sequence so called generalized co-Narayana sequence and its two special subsequences which are related to generalized Narayana numbers and its two subsequences. There are close interrelations between recurrence equations of and roots of characteristic equations of generalized Narayana and generalized co-Narayana numbers. We present Binet's formulas, generating functions, some identities, Simson's formulas, recurrence properties, sum formulas and matrices related with these sequences.