Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
134 tokens/sec
GPT-4o
10 tokens/sec
Gemini 2.5 Pro Pro
47 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

On the linear space of the two-sided generalized Fibonacci sequences (2304.02871v1)

Published 6 Apr 2023 in math.NT and math.CO

Abstract: In this paper, we study the linear space of all two-sided generalized Fibonacci sequences ${F_n}{n \in \mathbb{Z}}$ that satisfy the recurrence equation of order $k$: $F_n = F{n-1} + F_{n-2} + \dots + F_{n-k}$. We give two types of explicit formula, one is based on generalized binomial coefficients and the other based on generalized multinomial coefficients.

Summary

We haven't generated a summary for this paper yet.