combinatorial-enumeration
// Combinatorial object generation and counting
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updated:March 4, 2026
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SKILL.md Frontmatter
namecombinatorial-enumeration
descriptionCombinatorial object generation and counting
allowed-toolsBash,Read,Write,Edit,Glob,Grep
metadata[object Object]
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
- Object Definition: Precisely define combinatorial objects
- Generation Strategy: Choose efficient generation methods
- Counting: Use generating functions for counting
- OEIS Lookup: Search for known sequences
Tools/Libraries
- OEIS
- SageMath combinat
- SymPy combinatorics