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 EulerGamma

 http://functions.wolfram.com/02.06.06.0017.01

 Input Form

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

 Standard Form

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

 MathML Form

 TagBox["\[DoubledGamma]", Function[EulerGamma]] k = 1 k j = 2 k 2 k + 1 - 1 ( - 1 ) j j k 1 k j 2 k 2 k 1 -1 -1 j j -1 [/itex]

 Rule Form

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

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

 2001-10-29