English

A Strehl Version of Fourth Franel Sequence

Combinatorics 2020-12-07 v1 Number Theory

Abstract

We give a combinatorial identity related to the Franel numbers involving the sum of fourth power of binomial coefficients. Furthermore, investigating in J. Mikic's proof of the first Strehl Identity, we provide a combinatorial proof of this identity using the double counting argument.

Keywords

Cite

@article{arxiv.2012.02563,
  title  = {A Strehl Version of Fourth Franel Sequence},
  author = {Hacene Belbachir and Yassine Otmani},
  journal= {arXiv preprint arXiv:2012.02563},
  year   = {2020}
}

Comments

8 pages

R2 v1 2026-06-23T20:43:55.257Z