# Recurrence Solver

> Solve recurrence relations using multiple methods including Master Theorem and generating functions

- Skill: `a5c-ai/recurrence-solver` (Agent Skill)
- Install (CLI): `npx skillmds@latest add a5c-ai/recurrence-solver`
- Raw SKILL.md: https://api.skillmd.com/api/skills/a5c-ai/recurrence-solver/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: a5c-ai (https://skillmd.com/u/a5c-ai)
- Updated: 2026-09-09
- Page: https://skillmd.com/skills/a5c-ai/recurrence-solver

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# Recurrence Solver

## Purpose

Provides expert guidance on solving recurrence relations arising from divide-and-conquer and recursive algorithm analysis.

## Capabilities

- Apply Master Theorem (all three cases)
- Substitution method with guess verification
- Recursion tree analysis with visualization
- Generating functions for complex recurrences
- Akra-Bazzi method for generalized recurrences
- Handle non-standard recurrence forms

## Usage Guidelines

1. **Recognition**: Identify recurrence structure and applicable methods
2. **Master Theorem**: Check and apply Master Theorem cases
3. **Substitution**: Formulate and verify guess for complex cases
4. **Tree Analysis**: Build recursion tree for intuition
5. **Verification**: Validate solutions with base cases

## Tools/Libraries

- SymPy
- Visualization libraries
- Symbolic algebra systems