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In this paper we extend a notion of Cassini determinant to recently introduced hyperfibonacci sequences. We find Q-matrix for the r-th generation hyperfibonacci numbers and prove an explicit expression of the Cassini determinant for these sequences.

We provide a combinatorial interpretation of Lah numbers by means of planar networks. Henceforth, as a conesquence of Lindström's lemma, we conclude that the related Lah matrix possesses a remarkable property of total non-negativity.