English

Sums of squares of Tetranacci numbers: A generating function approach

Number Theory 2020-01-22 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.1906.08336,
  title  = {Sums of squares of Tetranacci numbers: A generating function approach},
  author = {Helmut Prodinger and Sarah J. Selkirk},
  journal= {arXiv preprint arXiv:1906.08336},
  year   = {2020}
}