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combinatorial-enumeration

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Combinatorial object generation and counting

General

What this skill does


# Combinatorial Enumeration

## Purpose

Provides combinatorial object generation and counting capabilities for discrete mathematics.

## Capabilities

- Permutation and combination generation
- Partition enumeration
- Generating function computation
- OEIS sequence lookup
- Polya enumeration
- Species theory computations

## Usage Guidelines

1. **Object Definition**: Precisely define combinatorial objects
2. **Generation Strategy**: Choose efficient generation methods
3. **Counting**: Use generating functions for counting
4. **OEIS Lookup**: Search for known sequences

## Tools/Libraries

- OEIS
- SageMath combinat
- SymPy combinatorics

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