On generalized Pentanacci quaternions

Y. Soykan, N. Özmen, M. Göcen

In this paper, we introduce the generalized Pentanacci quaternions and we present Binet's formulas, generating functions and the summation formulas for these quaternions and as special case for Pentanacci and Pentanacci-Lucas quaternions. Furthermore, we present matrices related to generalized Pentanacci quaternions. 

Tbilisi Mathematical Journal, Vol. 13(4) (2020), pp. 169-181