Convolution identities for Tetranacci numbers

Takao Komatsu and Rusen Li
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 3, Pages 142-169
DOI: 10.7546/nntdm.2019.25.3.142-169
Full paper (PDF, 245 Kb)

Details

Authors and affiliations

Takao Komatsu
Department of Mathematical Sciences, School of Science
Zhejiang Sci-Tech University
Hangzhou, 310018, P. R. China

Rusen Li
School of Mathematics, Shandong University
Jinan, 250100, P. R. China

Abstract

Convolution identities for various numbers (e.g., Bernoulli, Euler, Genocchi, Catalan, Cauchy and Stirling numbers) have been studied by many authors. Recently, several convolution identities have been studied for Fibonacci and Tribonacci numbers too. In this paper, we give convolution identities with and without binomial (multinomial) coefficients for Tetranacci numbers, and convolution identities with binomial coefficients for Tetranacci and Tetranacci-type numbers.

Keywords

• Tetranacci numbers
• Convolutions
• Symmetric formulae

2010 Mathematics Subject Classification

• 11B39
• 11B37
• 05A15
• 05A19

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