html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 E

 http://functions.wolfram.com/02.05.06.0019.01

 Input Form

 E == Sum[((8 k^2 + 1) (8 k - 4) + 5)/(4 k)!, {k, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List["\[ExponentialE]", "\[Equal]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["8", SuperscriptBox["k", "2"]]], "+", "1"]], ")"]], RowBox[List["(", RowBox[List[RowBox[List["8", "k"]], "-", "4"]], ")"]]]], "+", "5"]], RowBox[List[RowBox[List["(", RowBox[List["4", "k"]], ")"]], "!"]]]]]]]]]

 MathML Form

 k = 0 ( 8 k - 4 ) ( 8 k 2 + 1 ) + 5 ( 4 k ) ! k 0 8 k -4 8 k 2 1 5 4 k -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[ExponentialE]", "]"]], "\[RuleDelayed]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["8", " ", SuperscriptBox["k", "2"]]], "+", "1"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["8", " ", "k"]], "-", "4"]], ")"]]]], "+", "5"]], RowBox[List[RowBox[List["(", RowBox[List["4", " ", "k"]], ")"]], "!"]]]]]]]]]

 Contributed by

 H. J. Brothers

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

 2007-05-02