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Thue-morse sequence generator

World's simplest math tool

Free online Prouhet-Thue-Morse sequence generator. Just specify how many Prouhet-Morse numbers you need and you'll automatically get that many sequence elements. There are no ads, popups or nonsense, just an awesome Prouhet-Thue calculator. Press button, get Thue-Morse sequence. Created by mathematicians for mathematicians.
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Prouhet-Thue-Morse Generator Options
Start generating Thue-Morse numbers from this element.
How many Prouhet-Morse numbers to generate?
Thue-Morse element separator. (Newline \n by default.)
Thue-morse sequence generator tool What is a thue-morse sequence generator?
This tool calculates Prouhet-Thue-Morse sequence numbers. Thue-Morse sequence starts with 0 and each next number is a concatenation of the previous number and its bitwise negation. You can customize how many sequence numbers you need and which sequence element to start with. Mathabulous!
Thue-morse sequence generator examples Click to use
Generate Seven Thue-Morse numbers
This example calculates first 7 Prouhet-Thue-Morse numbers starting from 1st.
0 01 0110 01101001 0110100110010110 01101001100101101001011001101001 0110100110010110100101100110100110010110011010010110100110010110
Required options
These options will be used automatically if you select this example.
Start generating Thue-Morse numbers from this element.
How many Prouhet-Morse numbers to generate?
Calculate Five Prouhet-Thue-Morse numbers
This example generates 5 Thue-Morse numbers starting from the 3rd and changes element separator to a comma.
0110, 01101001, 0110100110010110, 01101001100101101001011001101001, 0110100110010110100101100110100110010110011010010110100110010110
Required options
These options will be used automatically if you select this example.
Start generating Thue-Morse numbers from this element.
How many Prouhet-Morse numbers to generate?
Thue-Morse 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-thue-morse-sequence?&start=1&count=7
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