OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.9 Hyperbolic volume constants, p. 512.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 0..2000
Eric Weisstein's MathWorld, Dawson's Integral
Wikipedia, Dawson function
FORMULA
Equals xinfl/(2*xinfl^2-1), xinfl = A133843. - Stanislav Sykora, Sep 17 2014
EXAMPLE
0.427686616017928797406755642112695191936245534527819588763606097190352...
MATHEMATICA
digits = 104; DawsonF[x_] := Sqrt[Pi]*Erfi[x]/(2*Exp[x^2]); xi = x /. FindRoot[DawsonF''[x], {x, 3/2}, WorkingPrecision -> digits + 10]; RealDigits[DawsonF[xi], 10, digits] // First
PROG
(PARI) Erfi(z) = -I*(1.0-erfc(I*z));
Dawson(z) = 0.5*sqrt(Pi)*exp(-z*z)*Erfi(z); \\ same as F(x)=D_+(x) D2Dawson(z) = -2.0*(z + (1.0-2.0*z*z)*Dawson(z)); \\ 2nd derivative
xinfl = solve(z=1.0, 2.0, real(D2Dawson(z)));
x = Dawson(xinfl) \\ Stanislav Sykora, Sep 17 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Jul 15 2014
STATUS
approved