About this tool: Fibonacci Calculator
Calculate the exact Fibonacci number at index n, with F(0)=0 and F(1)=1.
The sequence begins 0, 1, 1, 2, 3, 5, 8. Enter an index rather than a count of terms. Fast doubling and integer arithmetic calculate the exact value without recursively expanding every previous term, up to the displayed input limit.
How the calculation works
Worked example
| Index n (starts at 0) | 10 |
F(10) = 55
Questions and answers
What does this tool do?
Calculate the exact Fibonacci number at index n, with F(0)=0 and F(1)=1. The sequence begins 0, 1, 1, 2, 3, 5, 8. Enter an index rather than a count of terms. Fast doubling and integer arithmetic calculate the exact value without recursively expanding every previous term, up to the displayed input limit.
What affects precision and input format?
These operations preserve integer or decimal precision with string and integer arithmetic. Input size is limited to keep the page responsive.
Where are the calculations performed?
The calculation runs in your browser. You can use the tool without installing software.
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