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A328968 Decimal expansion of Integral_{x>=0} exp(-x^2*erf(x)) dx. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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

CROSSREFS

Cf. A103988.

Sequence in context: A069611 A083995 A195357 * A267316 A021511 A029688

Adjacent sequences:  A328965 A328966 A328967 * A328969 A328970 A328971

KEYWORD

nonn,cons

AUTHOR

R Zeraoulia, Nov 01 2019

STATUS

approved

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Last modified August 14 07:04 EDT 2020. Contains 336477 sequences. (Running on oeis4.)