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Combinatorial enumeration

Skill a5c-ai/babysitter/library/specializations/domains/science/mathematics/skills/combinatorial-enumeration

Combinatorial object generation and countingFrom its SKILL.md

Install
npx -y skills add a5c-ai/babysitter --skill combinatorial-enumeration

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SKILL.md

1.2 KB, 135 tokens by cl100k_base, as published. Nobody here has run it

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

What ships with it

Read from the repository

Just SKILL.md. No reference files, no scripts.

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