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Fibonacci numbers along residue classes and convolutions

Helmut Prodinger

Abstract

The sequence $F_{dn+h}$ and its convolutions have (for $h=0$) been studied in a recent paper at the arxiv [arXiv:2603.08636]. The instance with general $h$ is more involved and uses Chebyshev polynomials.

Fibonacci numbers along residue classes and convolutions

Abstract

The sequence and its convolutions have (for ) been studied in a recent paper at the arxiv [arXiv:2603.08636]. The instance with general is more involved and uses Chebyshev polynomials.
Paper Structure (2 sections, 2 theorems, 21 equations)

This paper contains 2 sections, 2 theorems, 21 equations.

Table of Contents

  1. A review of the Chebyshev polynomials of the second kind
  2. The $d$-section of Fibonacci numbers

Key Result

Proposition 1

Theorems & Definitions (2)

  • Proposition 1
  • Theorem 1