Special formulas involving polygonal numbers and Horadam numbers

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

Abstract


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
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Adegoke K., Frontczak R., Goy T. Special Formulas Involving Polygonal Numbers and Horadam Numbers. Carpathian Math. Publ. 2021, 13 (1), 207-216.