On a generalization for fibonacci quaternions

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On a Generalization for Tribonacci Quaternions (2017, methodology): “First, for n ≥ 2 and p, q integers, using Wn = pWn−1 + qWn−2, W0 = a and W1 = b, Halici and Karataş in [8] showed the presence of the following iterative relation Wn = bTn + aqTn−1, where Tn = pTn−1 + qTn−2, T0 = 0 and T1 = 1.”