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http://functions.wolfram.com/02.05.06.0018.01
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E == (2/3) Sum[(k + 3)^Mod[k, 2]/(2^Mod[k, 2] k!), {k, 0, Infinity}]
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Cell[BoxData[RowBox[List["\[ExponentialE]", "\[Equal]", RowBox[List[FractionBox["2", "3"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["k", "+", "3"]], ")"]], RowBox[List["Mod", "[", RowBox[List["k", ",", " ", "2"]], "]"]]], RowBox[List[SuperscriptBox["2", RowBox[List["Mod", "[", RowBox[List["k", ",", " ", "2"]], "]"]]], RowBox[List["k", "!"]]]]]]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mi> ⅇ </mi> <mo>  </mo> <mrow> <mfrac> <mn> 2 </mn> <mn> 3 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <munderover> <mo> ∑ </mo> <mrow> <mi> k </mi> <mo> = </mo> <mn> 0 </mn> </mrow> <mi> ∞ </mi> </munderover> <mfrac> <msup> <mrow> <mo> ( </mo> <mrow> <mi> k </mi> <mo> + </mo> <mn> 3 </mn> </mrow> <mo> ) </mo> </mrow> <semantics> <mrow> <mi> k </mi> <mo> ⁢ </mo> <mi> mod </mi> <mo> ⁢ </mo> <mn> 2 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <rem /> <ci> FE`Conversion`Private`k </ci> <cn type='integer'> 2 </cn> </apply> </annotation-xml> </semantics> </msup> <mrow> <msup> <mn> 2 </mn> <semantics> <mrow> <mi> k </mi> <mo> ⁢ </mo> <mi> mod </mi> <mo> ⁢ </mo> <mn> 2 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <rem /> <ci> FE`Conversion`Private`k </ci> <cn type='integer'> 2 </cn> </apply> </annotation-xml> </semantics> </msup> <mo> ⁢ </mo> <mrow> <mi> k </mi> <mo> ! </mo> </mrow> </mrow> </mfrac> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <exponentiale /> <apply> <times /> <cn type='rational'> 2 <sep /> 3 </cn> <apply> <sum /> <bvar> <ci> k </ci> </bvar> <lowlimit> <cn type='integer'> 0 </cn> </lowlimit> <uplimit> <infinity /> </uplimit> <apply> <times /> <apply> <power /> <apply> <plus /> <ci> k </ci> <cn type='integer'> 3 </cn> </apply> <apply> <rem /> <ci> FE`Conversion`Private`k </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <apply> <power /> <cn type='integer'> 2 </cn> <apply> <rem /> <ci> FE`Conversion`Private`k </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <factorial /> <ci> k </ci> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[ExponentialE]", "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["2", "3"], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["k", "+", "3"]], ")"]], RowBox[List["Mod", "[", RowBox[List["k", ",", "2"]], "]"]]], RowBox[List[SuperscriptBox["2", RowBox[List["Mod", "[", RowBox[List["k", ",", "2"]], "]"]]], " ", RowBox[List["k", "!"]]]]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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