A377202 Decimal expansion of Integral_{x=0..oo} exp(-x)*erf(sqrt(x))^2 dx, where erf is the error function.

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

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 2*sqrt(2)*arccot(sqrt(2))/Pi = A010466*A195695/A000796 (cf. eq. 37 in Weisstein link).

Example

0.554126423979571987123078834537902718922949579396...

Mathematica

First[RealDigits[Sqrt[8]*ArcCot[Sqrt[2]]/Pi, 10, 100]]

Crossrefs

Cf. A000796, A010466, A195695, A377203.

Sequence in context: A202695 A110986 A193721 * A019927 A332506 A019805

Adjacent sequences: A377199 A377200 A377201 * A377203 A377204 A377205

Keyword

nonn,cons

Author

Paolo Xausa, Oct 19 2024

Status

approved