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Catalan

Catalan
is Catalan's constant, with numerical value .
MORE INFORMATION
  • Mathematical constant treated as numeric by NumericQ and as a constant by D.
  • Catalan can be evaluated to any numerical precision using N.
  • Catalan's constant is given by the sum .
EXAMPLESCLOSE ALL
Basic Examples   (1)
Evaluate to high precision:
Evaluate to high precision:
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Click for copyable input
Out[1]=
Scope   (2)
Use in an exact numerical computation:
TraditionalForm formatting:
Applications   (3)
The first 20 digits of Catalan in base 10:
20 digits after the first 1000 digits of Catalan in base 10:
Frequency of coprime Gaussian integers:
Compare with the exact asymptotic result:
Properties & Relations   (2)
Various symbolic relations are automatically used:
Many mathematical functions and operations give results involving Catalan:
Possible Issues   (1)
It is currently not known if Catalan is an algebraic number:
Neat Examples   (3)
Plot a random walk corresponding to the binary digits of Catalan:
Terms in the continued fraction:
Weyl-type sum involving Catalan:
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