combinatorial-enumeration

Others

Combinatorial object generation and counting

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Source SKILL.md: https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/domains/science/mathematics/skills/combinatorial-enumeration/SKILL.md

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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