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Sums of squares of Tetranacci numbers: A generating function approach (1906.08336v1)
Published 19 Jun 2019 in math.NT and math.CO
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.