# Some combinatorial aspects of differential operation compositions on space $R^n$

## TL;DR

This paper develops a recurrence relation to count meaningful higher-order differential operation compositions on R^n and identifies non-trivial compositions beyond second order.

## Contribution

It introduces a recurrence relation for counting and classifying higher-order differential compositions on R^n, highlighting non-trivial cases.

## Key findings

- Derived a recurrence relation for composition counts
- Identified non-trivial higher-order compositions
- Extended understanding of differential operation structures

## Abstract

In this paper we present a recurrent relation for counting meaningful compositions of the higher-order differential operations on the space $R^{n}$ (n=3,4,...) and extract the non-trivial compositions of order higher than two.