A240885 - OEIS

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A240885

Decimal expansion of the unique positive solution of Integral_{0..x} exp(-t^2/2) dt = 1.

19

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..100.

Steven Finch, Pattern-Avoiding Permutations [Internet archive]

Steven Finch, Pattern-Avoiding Permutations [Cached copy, with permission]

FORMULA

Solution to sqrt(Pi/2)*erf(x/sqrt(2)) = 1.

EXAMPLE

1.2755477364172...

MATHEMATICA

RealDigits[Sqrt[2]*InverseErf[Sqrt[2/Pi]], 10, 100] // First

PROG

(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

CROSSREFS

Cf. A052319, A071075, A111004, A200404, A263885.

Sequence in context: A334851 A021788 A019640 * A119929 A195070 A352619

Adjacent sequences: A240882 A240883 A240884 * A240886 A240887 A240888

KEYWORD

nonn,cons

AUTHOR

Jean-François Alcover, Apr 14 2014

STATUS

approved