A377144 Decimal expansion of Integral_{x=0..oo} sin(x^2)*erfc(x) dx, where erfc is the complementary error function.

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

Offset

0,2

Links

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

Eric Weisstein's World of Mathematics, Erfc.

Formula

Equals (Pi - 2*arcsinh(1))/(4*sqrt(2*Pi)) = (A000796 - A244920)/(4*A019727) (cf. eq. 12 in Weisstein link).

Example

0.137519939983291533628377694180502292463433867842...

Mathematica

First[RealDigits[(Pi - 2*ArcSinh[1])/(4*Sqrt[2*Pi]), 10, 100]]

Crossrefs

Cf. A000796, A019727, A244920, A377143.

Sequence in context: A338769 A132742 A267317 * A210641 A021910 A331632

Adjacent sequences: A377141 A377142 A377143 * A377145 A377146 A377147

Keyword

nonn,cons

Author

Paolo Xausa, Oct 17 2024

Status

approved