The reciprocal super Catalan matrix

Abstract

The reciprocal super Catalan matrix has entries . Explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, q-analogues are also presented.

Keywords

• Super Catalan numbers
• LU-decomposition
• q-analogues
• 15B05, 05A05