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A069286 Decimal expansion of constant rho satisfying Gaussian Phi(rho * sqrt(2)) = erf(rho) = 1/2. 3
4, 7, 6, 9, 3, 6, 2, 7, 6, 2, 0, 4, 4, 6, 9, 8, 7, 3, 3, 8, 1, 4, 1, 8, 3, 5, 3, 6, 4, 3, 1, 3, 0, 5, 5, 9, 8, 0, 8, 9, 6, 9, 7, 4, 9, 0, 5, 9, 4, 7, 0, 6, 4, 4, 7, 0, 3, 8, 8, 2, 6, 9, 5, 9, 1, 9, 3, 8, 3, 4, 4, 7, 7, 7, 4, 6, 4, 6, 7, 3, 3, 4, 8, 8, 6, 9, 5, 9, 1, 5, 8, 6, 9, 9, 8, 9, 0, 0, 9, 9, 4, 8, 0, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
In Bronstein-Semendjajew, Gaussian Phi is the probability integral, i.e., 2 * Normal Distribution Function.
REFERENCES
Bronstein-Semendjajew, Taschenbuch der Mathematik, 7th German ed. 1965, ch. 6.1.2.
LINKS
Eric Weisstein's World of Mathematics, Inverse Erf.
Eric Weisstein's World of Mathematics, Normal Distribution Function.
Eric Weisstein's World of Mathematics, Probable Error t= rho * sqrt(2)= 06745...
EXAMPLE
0.4769362762044698733814183536431305598089697490594706447...
MATHEMATICA
RealDigits[ InverseErf[1/2], 10, 105][[1]] (* Robert G. Wilson v, Oct 11 2004 *)
PROG
(PARI) solve(x=0, 1, erfc(x)-1/2) \\ Charles R Greathouse IV, Oct 15 2015
CROSSREFS
Cf. A069287 (continued fraction), A007680.
Sequence in context: A254339 A140877 A293904 * A079354 A354763 A255248
KEYWORD
nonn,cons
AUTHOR
Frank Ellermann, Mar 13 2002
STATUS
approved

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Last modified July 23 04:43 EDT 2024. Contains 374544 sequences. (Running on oeis4.)