A069286 Decimal expansion of constant rho satisfying Gaussian Phi(rho * sqrt(2)) = erf(rho) = 1/2.

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

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

G. C. Greubel, Table of n, a(n) for n = 0..10000

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

Adjacent sequences: A069283 A069284 A069285 * A069287 A069288 A069289

Keyword

nonn,cons

Author

Frank Ellermann, Mar 13 2002

Status

approved