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A new generalized Cassini determinant

Volume 145 / 2016

Ivica Martinjak, Igor Urbiha Colloquium Mathematicum 145 (2016), 209-218 MSC: Primary 11B39; Secondary 11B37. DOI: 10.4064/cm6756-11-2015 Published online: 3 June 2016


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.


  • Ivica MartinjakFaculty of Science
    University of Zagreb
    Bijenička 32
    HR-10000 Zagreb, Croatia
  • Igor UrbihaPolytechnic of Zagreb
    Vrbik 8
    HR-10000 Zagreb, Croatia

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