A240885 Decimal expansion of the unique positive solution of Integral_{0..x} exp(-t^2/2) dt = 1.
1, 2, 7, 5, 5, 4, 7, 7, 3, 6, 4, 1, 7, 2, 1, 5, 3, 7, 8, 8, 0, 1, 3, 4, 3, 1, 9, 7, 4, 6, 7, 8, 5, 4, 7, 9, 0, 7, 3, 0, 7, 8, 1, 4, 3, 7, 4, 9, 4, 7, 2, 6, 1, 4, 3, 9, 4, 4, 8, 7, 3, 2, 6, 4, 6, 3, 1, 6, 4, 6, 9, 2, 5, 6, 4, 3, 0, 0, 8, 6, 4, 1, 6, 0, 4, 6, 2, 5, 2, 7, 5, 9, 5, 4, 2, 9, 3, 4, 5, 6
Offset: 1
Examples
1.2755477364172...
Links
- Steven Finch, Pattern-Avoiding Permutations [Internet archive]
- Steven Finch, Pattern-Avoiding Permutations [Cached copy, with permission]
Programs
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Mathematica
RealDigits[Sqrt[2]*InverseErf[Sqrt[2/Pi]], 10, 100] // First
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PARI
a=sqrt(Pi/2); b=a-1; c=1/sqrt(2); solve(x=1,2, a*erfc(c*x)-b) \\ Charles R Greathouse IV, Sep 02 2024
Formula
Solution to sqrt(Pi/2)*erf(x/sqrt(2)) = 1.