Combinatorial Enumeration

SkillDev tools

Combinatorial object generation and counting

Instructions available. Your AI can read the instructions. Execution depends on the setup they require.

Add ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.

Then ask your AI: use the Combinatorial Enumeration skill

What this skill tells your AI

The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/domains/science/mathematics/skills/combinatorial-enumeration/SKILL.md and read by ahel’s review.

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

Signals

GitHub stars
2k
Forks
112
Last commit
Sep 2026
Advanced
Item type
skill
Key
combinatorial-enumeration
Source
github.com/a5c-ai/babysitter