Sums of squares of Tetranacci numbers: A generating function approach

Helmut Prodinger; Sarah J. Selkirk

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arXiv · 1906.08336

Sums of squares of Tetranacci numbers: A generating function approach

Helmut Prodinger·Sarah J. Selkirk

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Abstract

It is demonstrated how an explicit expression of the (partial) sum of Tetranacci numbers can be found and proved using generating functions and the Hadamard product. We also provide a Binet-type formula for generalized Fibonacci numbers, by explicitly factoring the denominator of their generating functions.

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Helmut Prodinger, Sarah J. Selkirk. 2019-06-19. Sums of squares of Tetranacci numbers: A generating function approach. https://arxiv.org/abs/1906.08336

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