74 citations · 263 across the 19 of their papers we have counts for
23 papers
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}…
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…
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…
Bijections on pattern avoiding inversion sequences and related objects
JiSun Huh, Sangwook Kim, Seunghyun Seo +1
The number of inversion sequences avoiding two patterns and is known to be the same as the number of permutations avoiding three patterns , , and . Th…
On Delannoy paths without peaks and valleys
Seunghyun Seo, Heesung Shin
A lattice path is called \emph{Delannoy} if its every step belongs to , where , , and steps. \emph{Peak}, \emph{valley}, and \em…
More bijections for Entringer and Arnold families
Heesung Shin, Jiang Zeng
The Euler number (resp. Entringer number ) enumerates the alternating (down-up) permutations of (resp. starting with ). The Springer number …