5 citations · 6 across the 8 of their papers we have counts for
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A New Generalized Cassini Determinant
Ivica Martinjak, Igor Urbiha
In this paper we extend a notion of Cassini determinant to recently introduced hyperfibonacci sequences. We find -matrix for the -th generation hyperfibonacci numbers and pro…
Non-transversal Vectors of Some Finite Geometries
Ivica Martinjak
By means of associated structural invariants, we efficiently construct four biplanes of order 9 - except the one with the smallest automorphism group, that is found by Janko and Tr…
On Polynomial Identities for Recursive Sequences
Ivica Martinjak, Iva Vrsaljko
In this paper we extend the notion of Melham sum to the Pell and Pell-Lucas sequences. While the proofs of general statements rely on the binomial theorem, we prove some spacial ca…
A Family of the Zeckendorf Theorem Related Identities
Ivica Martinjak
In this paper we present a family of identities for recursive sequences arising from a second order recurrence relation, that gives instances of Zeckendorf representation. We prove…
Two Extensions of the Sury's Identity
Ivica Martinjak
In this note we prove two extensions of the Sury's identity.
Complementary Families of the Fibonacci-Lucas Relations
Ivica Martinjak, Helmut Prodinger
In this paper we present two families of Fibonacci-Lucas identities, with the Sury's identity being the best known representative of one of the families. While these results can be…