Partial sum of the products of the Horadam numbers with subscripts in arithmetic progression

Kunle Adegoke, Robert Frontczak and Taras Goy
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 2, Pages 54–63
DOI: 10.7546/nntdm.2021.27.2.54-63
Full paper (PDF, 204 Kb)

Details

Authors and affiliations

Kunle Adegoke
Department of Physics and Engineering Physics, Obafemi Awolowo University
220005 Ile-Ife, Nigeria

Robert Frontczak
Landesbank Baden-Württemberg
70173 Stuttgart, Germany

Taras Goy
Faculty of Mathematics and Computer Science
Vasyl Stefanyk Precarpathian National University
76018 Ivano-Frankivsk, Ukraine

Abstract

We evaluate the partial sum of the products of the terms of any two Horadam sequences with subscripts in arithmetic progression. Illustrative examples are drawn from six well-known Horadam sequences.

Keywords

• k-generalized Lucas numbers
• Linear form in logarithms
• Reduction method

2020 Mathematics Subject Classification

• 11B39
• 11J86

References

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