3 papers
math.CO2026
Determining Particular Solutions for Exponential-Polynomial Forcing Terms in Linear Nonhomogeneous Recurrence Relations
Heesung Shin
This paper develops a systematic method for determining particular solutions of the th-order linear nonhomogeneous recurrence relation $$a_n + c_1 a_{n-1} + \cdots + c_k a_{n-k}…
math.CO2025
On (102,000)-avoiding inversion sequences
Sangwook Kim, Seunghyun Seo, Heesung Shin
In this article, we study (102,000)-avoiding inversion sequences with a fixed number of distinct elements. By introducing simple H-paths, we derive the trivariate generating functi…
math.CO2025
On 102-avoiding inversion sequences
JiSun Huh, Sangwook Kim, Seunghyun Seo +1
In this article, we provide a bijection between the set of inversion sequences avoiding the pattern 102 and the set of 2-Schröder paths having neither peaks nor valleys and ending…