# 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.

A link to this tool, including input, options and all chained tools.

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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**

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**

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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