# Journal of the Ramanujan Mathematical Society

Volume 39, Issue 1, March 2024 pp. 39–53.

On n-color self-inverse compositions

**Authors**:
R. Sachdeva

**Author institution:**
Department of Mathematics, Guru Nanak Dev University, Amritsar 143 005, India.

**Summary: **
MacMahon's definition of self-inverse compositions was extended to n-color self-inverse compositions
by G. Narang and A. K. Agarwal in 2003. In this paper, we give two different methods of generating n-color
self-inverse compositions and their explicit formulas. We also give bijective proofs of their relation with n-color
compositions. While enumerating the occurrences of each integer in all n-color self-inverse compositions and n-color
compositions, our approach is to describe the various patterns found in this process.

Contents
Full-Text PDF