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 EulerGamma

 http://functions.wolfram.com/02.06.06.0012.01

 Input Form

 EulerGamma == 1 - Log[2] + Sum[((-1)^k (Zeta[k] - 1))/k, {k, 2, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List["EulerGamma", "\[Equal]", RowBox[List["1", "-", RowBox[List["Log", "[", "2", "]"]], "+", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "2"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], RowBox[List["(", RowBox[List[RowBox[List["Zeta", "[", "k", "]"]], "-", "1"]], ")"]]]], "k"]]]]]]]]]

 MathML Form

 TagBox["\[DoubledGamma]", Function[EulerGamma]] 1 - log ( 2 ) + k = 2 ( - 1 ) k ( ζ ( k ) TagBox[RowBox[List["\[Zeta]", "(", TagBox["k", Rule[Editable, True]], ")"]], InterpretTemplate[Function[\$CellContext`e, Zeta[\$CellContext`e]]]] - 1 ) k 1 -1 2 k 2 -1 k Zeta k -1 k -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "EulerGamma", "]"]], "\[RuleDelayed]", RowBox[List["1", "-", RowBox[List["Log", "[", "2", "]"]], "+", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "2"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], " ", RowBox[List["(", RowBox[List[RowBox[List["Zeta", "[", "k", "]"]], "-", "1"]], ")"]]]], "k"]]]]]]]]]

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

 2001-10-29