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Convolutions for Tribonacci numbers involving binomial coefficients aretreated with ordinary generating functions and the diagonalization method ofHautus and Klarner. In this way, the relevant generating function can beestablished, which is rational. The coefficients can also be expressed. It issketched how to extend this to Tetranacci numbers and similar quantities.

Convolution identities for Tribonacci numbers via the diagonal of a bivariate generating function