One this page is a Lucas series calculator and Lucas number calculator. Enter which Lucas number to find (starting from 0th = 2) and we’ll return the number and (optionally) the entire series to that point.
Lucas Number and Series Calculator
What is a Lucas Number or the Lucas Series?
The Lucas series is, very similarly to the Fibonacci sequence, an increasing sequence of numbers where a number in the series is calculated by adding the two previous numbers. Unlike the Fibonacci sequence, the first two numbers (index 0 and 1) are 2, and 1 – not 0 and 1.
A Lucas number is a number which appears in the Lucas sequence or alternatively the index of a number in the series. For example, the 6th Lucas number is 18, and 18 is also a Lucas number since it’s in the series.
2 is considered the ‘0’ index of the formula, followed by 1. Lucas numbers 0 through 10 (first 11 numbers) are:
Using the Lucas Number and Lucas Series Calculator
To use the Lucas series calculator, first enter which Lucas Number (n) you are interested in, where 0 = 2 and 1 = 1.
After, either hit Compute Lucas Number to see the number in the sequence at that position, or Show Lucas Series to see all numbers in the series up to the index.
Afterwards, try the other calculators and tools.