Shin-ichiro Seki

collaborators

2 papers

math.CO2025

On the length over which $k$ -GÃ¶bel sequences remain integers

Yuh Kobayashi, Shin-ichiro Seki

We prove that the sequence $(N_{k})_{k}$ , where each $N_{k}$ is defined as the smallest positive integer $n$ for which the $n$ th term $g_{k, n}$ of the $k$ -GÃ¶bel sequence is not an integ…

math.NT2024

A note on non-integrality of the $(k, l)$ -GÃ¶bel sequences

Yuh Kobayashi, Shin-ichiro Seki

The $(k, l)$ -GÃ¶bel sequences defined by Ibstedt remain integers for the first (in some cases, many) terms, but for selected values of $(k, l)$ , computations show that the terms even…

On the length over which k-GÃ¶bel sequences remain integers

A note on non-integrality of the (k,l)-GÃ¶bel sequences

On the length over which $k$ -GÃ¶bel sequences remain integers

A note on non-integrality of the $(k, l)$ -GÃ¶bel sequences