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CatalanNumber




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > CatalanNumber[n] > Specific values > Values at fixed points





http://functions.wolfram.com/06.41.03.0027.01









  


  








Input Form





CatalanNumber[1/2] == 8/(3 Pi)








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["CatalanNumber", "[", FractionBox["1", "2"], "]"]], "\[Equal]", FractionBox["8", RowBox[List["3", " ", "\[Pi]"]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msub> <semantics> <mi> C </mi> <annotation encoding='Mathematica'> TagBox[&quot;C&quot;, CatalanNumber] </annotation> </semantics> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </msub> <mo> &#63449; </mo> <mfrac> <mn> 8 </mn> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <mi> &#960; </mi> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> CatalanNumber </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <times /> <cn type='integer'> 8 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 3 </cn> <pi /> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["CatalanNumber", "[", FractionBox["1", "2"], "]"]], "]"]], "\[RuleDelayed]", FractionBox["8", RowBox[List["3", " ", "\[Pi]"]]]]]]]


Date Added to functions.wolfram.com (modification date)





2007-05-02