Abstract:This paper considers the properties of Tribonacci numbers on identities, matrices, and determinants. In the first front part, we obtain several symmetric identities of Tribonacci numbers by a matrix-based approach and binomial inversion technique. In the core section of the latter half, we present a determinant representation of Tribonacci numbers in a slightly modified Toeplitz--Hessenberg form derived from Bell polynomials.
| Comments: | Part of this paper is an excerpt from the master's thesis of the second-named author |
| Subjects: | Number Theory (math.NT); Combinatorics (math.CO) |
| Cite as: | arXiv:2605.24853 [math.NT] |
| (or arXiv:2605.24853v1 [math.NT] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24853 arXiv-issued DOI via DataCite (pending registration) |
From: Takao Komatsu [view email]
[v1]
Sun, 24 May 2026 04:14:28 UTC (12 KB)
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