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

Author

Paolo Xausa, Oct 17 2024

Keywords

• nonn
• cons

Examples

			0.137519939983291533628377694180502292463433867842...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Eric Weisstein's World of Mathematics, Erfc.

Crossrefs

Cf. A000796, A019727, A244920, A377143.

Programs

Mathematica

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

Formula

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