A328968 Decimal expansion of Integral_{x>=0} exp(-x^2*erf(x)) dx.

9, 7, 2, 1, 0, 6, 9, 9, 2, 7, 6, 9, 1, 7, 8, 5, 9, 3, 1, 5, 1, 0, 7, 7, 8, 7, 5, 4, 4, 2, 3, 9, 1, 1, 7, 5, 5, 5, 4, 2, 7, 2, 1, 8, 3, 3, 8, 5, 5, 6, 9, 9, 0, 0, 9, 7, 2, 2, 9, 1, 0, 4, 0, 8, 4, 4, 1, 8, 8, 8, 7, 5, 9, 9, 5, 8, 2, 2, 0, 0, 3, 3, 4, 1, 0, 6, 7, 8, 2, 1, 8, 4, 0, 1, 2, 5, 8, 7, 3, 4

Offset

0,1

Comments

The integral defines a probability distribution over the positive real line and it behaves similarly to the error function.

Links

Table of n, a(n) for n=0..99.

Zeraoulia Rafik, Alvaro H. Salas, and David L. Ocampo, A New Special Function and Its Application in Probability, International Journal of Mathematics and Mathematical Sciences, vol. 2018, Article ID 5146794, 12 pages, 2018.

Example

0.9721069927691785931510778754423911755542721833855699009722910408441888759....

Maple

evalf(Integrate(exp(-x^2*erf(x)), x = 0..infinity), 120); # Vaclav Kotesovec, Nov 02 2019

Mathematica

RealDigits[NIntegrate[Exp[-x^2*Erf[x]], {x, 0, Infinity}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, May 31 2023 *)

Crossrefs

Cf. A103988.

Sequence in context: A069611 A083995 A195357 * A267316 A346907 A021511

Adjacent sequences: A328965 A328966 A328967 * A328969 A328970 A328971

Keyword

nonn,cons

Author

R Zeraoulia, Nov 01 2019

Status

approved