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Catalan's constant
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Catalan's constant (or ), named after Eugène Charles Catalan, is defined as
where is the Dirichlet beta function.
It is not known whether is irrational, let alone transcendental.
Decimal expansion of Catalan's constant
The decimal expansion of Catalan's constant is
- 0.915965594177219015054603514932384110774149374281672134266498... (A006752)
Continued fraction
The simple continued fraction for Catalan's constant gives the sequence of integer part and partial quotients (A014538)
- {0, 1, 10, 1, 8, 1, 88, 4, 1, 1, 7, 22, 1, 2, 3, 26, 1, 11, 1, 10, 1, 9, 3, 1, 1, 1, 1, 1, 1, 2, 2, 1, 11, 1, 1, 1, 6, 1, 12, 1, 4, 7, 1, 1, 2, 5, 1, 5, 9, 1, 1, 1, 1, 33, 4, 1, 1, ...}
External links
- Weisstein, Eric W., Catalan's Constant, from MathWorld—A Wolfram Web Resource. [http://mathworld.wolfram.com/CatalansConstant.html]