Special formulas involving polygonal numbers and Horadam numbers


  • K. Adegoke Obafemi Awolowo University, 220005 Ile-Ife, Nigeria
  • R. Frontczak Landesbank Baden-Württemberg, 70173, Stuttgart, Germany
  • T. Goy Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0002-6212-3095


Horadam sequence, polygonal numbers, triangular numbers, Fibonacci sequence, generating function, recurrence relation
Published online: 2021-06-30


Some convolution-type identities involving polygonal numbers and Horadam numbers are derived. The method of proof is to properly relate the generating functions to each other. Additionally, we prove a general non-convolutional result involving these number families and discuss some of the consequences.

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How to Cite
Adegoke, K.; Frontczak, R.; Goy, T. Special Formulas Involving Polygonal Numbers and Horadam Numbers. Carpathian Math. Publ. 2021, 13, 207-216.