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Lucas sequence calculator

World's simplest number tool
Quickly calculate Lucas sequence in your browser. To get your sequence, just specify the starting value and the length of the series in the options below, and this utility will generate that many Lucas numbers. Created by developers from team Browserling.
Lucas Series Settings
Enter the number to start
the Lucas sequence from.
Enter the number of Lucas
terms you want to calculate.
Lucas Series Separator
Enter the character that will
separate Lucas numbers.
(By default a line break.)

What is a lucas sequence calculator?

learn more about this tool
This is an online browser-based utility for calculating a list of Lucas numbers. Similar to the Fibonacci sequence, each Lucas number is defined as a sum of its two previous terms. The first two Lucas numbers are L₀ = 2 and L₁ = 1, which are the opposite of the first two Fibonacci numbers F₀ = 1 and F₁ = 2. With this tool, you can start generating the Lucas series from any value by just enter it in the options above. You can also specify the exact number of terms in the list and customize term separator. That's numberwang!

Lucas sequence calculator examples

Click to use
50 Numbers of Lucas Series
In this example, we calculate the first fifty Lucas numbers and use the comma symbol to separate them.
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, 3571, 5778, 9349, 15127, 24476, 39603, 64079, 103682, 167761, 271443, 439204, 710647, 1149851, 1860498, 3010349, 4870847, 7881196, 12752043, 20633239, 33385282, 54018521, 87403803, 141422324, 228826127, 370248451, 599074578, 969323029, 1568397607, 2537720636, 4106118243, 6643838879, 10749957122, 17393796001
Required options
These options will be used automatically if you select this example.
Enter the number to start
the Lucas sequence from.
Enter the number of Lucas
terms you want to calculate.
Enter the character that will
separate Lucas numbers.
(By default a line break.)
Lucas Numbers from 10,000,000
In this example, we start generating the Lucas series from the value of ten million. As the number 10,000,000 is not a Lucas number, this utility searches for the next nearest Lucas term (12,752,043) and calculates all remaining requested values.
12752043 20633239 33385282 54018521 87403803 141422324 228826127 370248451
Required options
These options will be used automatically if you select this example.
Enter the number to start
the Lucas sequence from.
Enter the number of Lucas
terms you want to calculate.
Enter the character that will
separate Lucas numbers.
(By default a line break.)
Pro tips Master online number tools
You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!
https://onlinetools.com/number/calculate-lucas-numbers?start=0&count=50&separator=%252C%20
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