Wolfram Language & System 11.0 (2016)|Legacy Documentation

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RudinShapiro

RudinShapiro[n]
gives the n^(th) term in the RudinShapiro sequence.

DetailsDetails

  • RudinShapiro[n] is 1 if n has an even number of possibly overlapping 11 sequences in its base-2 digits, and is -1 otherwise.
  • RudinShapiro automatically threads over lists.

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

The sixth element of the RudinShapiro sequence:

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The number 6 has an odd number of 11 sequences in its binary form:

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The first ten elements of the sequence:

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Display the values alongside the binary expansion:

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Introduced in 2015
(10.2)