Linear Recurrence Calculator
A fast, privacy-first online tool to compute terms of any linear recurrence relation. All calculations run entirely in your browser-no servers, no tracking, no data collection.
Calculator
Advertisement
About This Tool
This Linear Recurrence Calculator evaluates sequences defined by linear recurrence relations of arbitrary order. It uses efficient matrix exponentiation with big-integer arithmetic, enabling accurate results even for very large indices.
Key Benefits
- Runs 100% locally in your browser
- No limits, accounts, or API keys
- Handles large numbers safely using BigInt
- Efficient even for large n values
Features
- Supports recurrences of any order
- Fast matrix-based computation
- Mobile-friendly, responsive design
- Light-mode, distraction-free UI
Use Cases
- Studying Fibonacci-like sequences
- Algorithm and data-structure analysis
- Competitive programming practice
- Academic research and teaching
Fun Fact
The famous Fibonacci sequence is just a special case of a linear recurrence relation of order two.
Historical Context
Linear recurrences have been studied for centuries, with early work appearing in Indian mathematics and later formalized in European algebra. Today, they are foundational in computer science, number theory, and cryptography.