Ik-Pyo Kim

collaborators

2 papers

math.CO2017

Inverse Relations in Shapiro's Open Questions

Ik-Pyo Kim, Michael J. Tsatsomeros

As an inverse relation, involution with an invariant sequence plays a key role in combinatorics and features prominently in some of Shapiro's open questions [L.W. Shapiro, Some ope…

math.CO2017

Pascal Eigenspaces and Invariant Sequences of the First or Second Kind

Ik-Pyo Kim, Michael J. Tsatsomeros

An infinite real sequence ${a_{n}}$ is called an invariant sequence of the first (resp., second) kind if $a_{n} = \sum_{k = 0}^{n} (k n) (- 1)^{k} a_{k}$ (resp., $a_n=\sum_{k=n}^{\infty…