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Kolakoski sequence generator

World's simplest math tool

Free online Oldenburger-Kolakoski sequence generator. Just specify how many Kolakoski numbers you need and you'll automatically get that many Oldenburger sequence elements. There are no ads, popups or nonsense, just an awesome Kolakoski series calculator. Press button, get Kolakoski sequence. Created by mathematicians for mathematicians.
Oldenburger-Kolakoski Generator Options
Start generating Kolakoski numbers from this element.
How many Oldenburger-Kolakoski numbers to generate?
Kolakoski element separator. (Newline \n by default.)
Kolakoski sequence generator tool What is a kolakoski sequence generator?
This tool calculates Oldenburger-Kolakoski sequence numbers. Kolakoski sequence is an infinite, self-describing sequence using only the characters 1 and 2. The sequence is defined by the property that it equals the sequence of its run lengths, where a run is a maximal subword consisting of identical letters. You can customize how many sequence numbers you need and which sequence element to start with. You can also change the sequence element separator character. Mathabulous!
Kolakoski sequence generator examples Click to use
Generate Twenty Kolakoski numbers
This example calculates first 20 Oldenburger-Kolakoski numbers starting from 1st.
1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1
Required options
These options will be used automatically if you select this example.
Start generating Kolakoski numbers from this element.
How many Oldenburger-Kolakoski numbers to generate?
Calculate 100 Oldenburger-Kolakoski numbers
This example generates one hundred Oldenburger numbers starting from the 10th and changes element separator to nothing.
1221121122121121221121121221221121221211211221221121221221121121221211221221121221221121122121121221
Required options
These options will be used automatically if you select this example.
Start generating Kolakoski numbers from this element.
How many Oldenburger-Kolakoski numbers to generate?
Kolakoski element separator. (Newline \n by default.)
Pro tips Master online math 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://onlinemathtools.com/generate-kolakoski-sequence?&start=1&count=20
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