On the length over which k-Göbel sequences remain integers

2025/02/05 by Shin-ichiro Seki, Kobayashi, Yuh, Seki, Shin-ichiro
Computer Science · Engineering · Mathematics · #11B37 #11B50 #Advanced Mathematical Identities #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2502.17448

openalex publication_date 2025/02/05 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

We prove that the sequence (N_k)_k, where each N_k is defined as the smallest positive integer n for which the nth term g_k,n of the k-Göbel sequence is not an integer, is unbounded.

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