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Rudin-shapiro sequence generator

World's simplest math tool

Free online Golay-Rudin-Shapiro sequence generator. Just specify how many Rudin-Shapiro numbers you need and you'll automatically get that many sequence values. There are no ads, popups or nonsense, just an awesome Rudin series calculator. Press button, get Shapiro sequence. Created by mathematicians for mathematicians.
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Golay-Rudin-Shapiro Generator Options
Start generating Rudin-Shapiro numbers from this element.
How many Golay-Rudin-Shapiro numbers to generate?
Shapiro element separator. (Newline \n by default.)
Rudin-shapiro sequence generator tool What is a rudin-shapiro sequence generator?
This tool calculates Golay-Shapiro sequence numbers. This sequence consists of the values 1 and -1. Each value is calculated as following - the n-th term of the sequence equals -1 if the number of possibly overlapping occurrences of the substring 11 in the binary expansion of n is odd. Otherwise the n-th term equals 1. 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!
Rudin-shapiro sequence generator examples Click to use
Generate Twenty Golay-Rudin-Shapiro Numbers
This example calculates first 20 Rudin-Shapiro values starting from 0th.
1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1
Required options
These options will be used automatically if you select this example.
Start generating Rudin-Shapiro numbers from this element.
How many Golay-Rudin-Shapiro numbers to generate?
Calculate 50 Golay-Rudin Elements
This example generates fifty Shapiro numbers starting from the 30th and changes element separator to a space.
-1 1 1 1 1 -1 1 1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 -1 1 -1 1 1 1 -1 1 1 -1 1 1 1 1 -1 -1 -1 1 -1
Required options
These options will be used automatically if you select this example.
Start generating Rudin-Shapiro numbers from this element.
How many Golay-Rudin-Shapiro numbers to generate?
Shapiro 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-rudin-shapiro-sequence?&start=0&count=20
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