A new generalized Cassini determinant
Volume 145 / 2016
Colloquium Mathematicum 145 (2016), 209-218
MSC: Primary 11B39; Secondary 11B37.
DOI: 10.4064/cm6756-11-2015
Published online: 3 June 2016
Abstract
We extend the notion of Cassini determinant to recently introduced hyperfibonacci sequences. We find the $Q$-matrix for the $r$th generation hyperfibonacci numbers and prove an explicit expression of the Cassini determinant for these sequences.
