Fibonacci Number Generator
Generate Fibonacci sequences instantly. Create custom sequences, find the N-th Fibonacci number, and explore the golden ratio.
1 - 100 numbers
Default: 0
Default: 1
Enter a value from 0 to 1000
📊 Quick Reference
💡 How to Use This Tool
Generate Fibonacci numbers in two ways:
Choose Mode
Select "Generate Sequence" or "Find N-th Number".
Enter Parameters
Set the count or index for your calculation.
View Results
See the sequence, statistics, and golden ratio.
Copy Results
Copy the sequence or number to your clipboard.
📖 About Fibonacci Number Generator
What is the Fibonacci Sequence?
The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones. Starting from 0 and 1, the sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.
The Mathematical Formula
F(n) = F(n-1) + F(n-2)
Where:
- F(0) = 0
- F(1) = 1
- F(n) = F(n-1) + F(n-2) for n > 1
Common Use Cases
- Mathematics & Education: Learning number sequences and mathematical patterns
- Computer Science: Algorithm analysis, recursion examples, dynamic programming
- Art & Design: Creating golden ratio proportions and spiral patterns
- Nature Studies: Understanding patterns in sunflowers, shells, and plants
- Financial Analysis: Fibonacci retracement levels in trading
The Golden Ratio
As Fibonacci numbers get larger, the ratio between consecutive numbers approaches the Golden Ratio (φ ≈ 1.618033988749...). This ratio appears throughout nature, art, and architecture.
Privacy & Security
All calculations happen locally in your browser using JavaScript. Your data never leaves your device - complete privacy guaranteed.