A377203 Decimal expansion of Integral_{x=0..oo} exp(-x)*erf(sqrt(x))^3 dx, where erf is the error function.

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

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Erf.

Wikipedia, Error function.

Formula

Equals 3*sqrt(2)*arccot(2*sqrt(2))/Pi = A010474*A188615/A000796 (cf. eq. 38 in Weisstein link).

Example

0.458941071620926611833296582700838961085659074877...

Mathematica

First[RealDigits[Sqrt[18]*ArcCsc[3]/Pi, 10, 100]]

Crossrefs

Cf. A000796, A010474, A188615, A377202.

Sequence in context: A292192 A339499 A374831 * A295150 A358819 A042956

Adjacent sequences: A377200 A377201 A377202 * A377204 A377205 A377206

Keyword

nonn,cons

Author

Paolo Xausa, Oct 19 2024

Status

approved