Fibonacci Series

Online calculator and formulas for calculating a series of Fibonacci numbers

Calculate a series of Fibonacci numbers


On this page, the Fibonacci function Fn is used to calculate a series of Fibonacci numbers. The result is displayed in the table. Enter the starting index and the number of elements. Then click the 'Calculate' button.



Fibonacci series calculator

 Input
Start Index
No. of elements
Decimal places

Fibonacci Table

Formula of the Fibonacci function


The Fibonacci sequence is the infinite sequence of numbers which either begins with the double number 1 or is more often provided with a leading number 0. The sum of two consecutive numbers results in the following number:

0, 1, 1, 2, 3, 5, 8, 13,...


\(\displaystyle F_n=\frac{(1+\sqrt{5})^n-(1-\sqrt{5})^n}{2^n\sqrt{5}} \)

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