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arXiv · 2605.24853

Tribonacci properties of identities, matrices, and determinants

Takao Komatsu·Tengfei Shen
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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.

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Takao Komatsu, Tengfei Shen. 2026-05-24. Tribonacci properties of identities, matrices, and determinants. https://arxiv.org/abs/2605.24853

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