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A202688
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Decimal expansion of Sum_{n>=0} (-1)^(n+1) / n!!.
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1
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2, 3, 8, 0, 3, 5, 1, 3, 6, 0, 5, 7, 6, 8, 0, 1, 4, 9, 1, 5, 7, 8, 2, 6, 0, 7, 6, 3, 9, 5, 0, 4, 8, 5, 3, 0, 3, 3, 0, 2, 9, 7, 4, 7, 5, 0, 8, 4, 9, 5, 5, 8, 1, 3, 8, 5, 0, 4, 3, 9, 8, 4, 3, 4, 7, 5, 8, 7, 9, 2, 2, 2, 7, 0, 3, 8, 1, 7, 6, 8, 1, 5, 1, 7, 3, 6, 7
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals Sum_{n>=1} (-1)^(n+1)*n!! /n!.
Equals sqrt(e) - sqrt(e*Pi/2)*erf(1/sqrt(2)).
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EXAMPLE
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0.23803513605768014915782607639504...
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MAPLE
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with(numtheory):Digits:=200:s:=evalf(sum(‘((-1)^(i+1))*doublefactorial(i)/i! ’, ’i’=1..100)):print(s):
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MATHEMATICA
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RealDigits[N[Sum[((-1)^(n+1))/n!!, {n, 0, 100}], 105]][[1]]
RealDigits[Sqrt[E] - Sqrt[(E*Pi)/2]*Erf[1/Sqrt[2]], 10, 105][[1]] (* G. C. Greubel, Mar 28 2019 *)
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PROG
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(Magma) SetDefaultRealField(RealField(112)); R:= RealField(); Exp(1/2)*(1 - Sqrt(Pi(R)/2)*Erf(1/Sqrt(2)) ); // G. C. Greubel, Mar 28 2019
(Sage) numerical_approx(exp(1/2)*(1 - sqrt(pi/2)*erf(1/sqrt(2))), digits=112) # G. C. Greubel, Mar 28 2019
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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