A206160 Decimal expansion of the Fresnel integral Integral_{x=0..oo} x*sin(x^3) dx.

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

Offset: 0

Author

R. J. Mathar, Jan 10 2013

Keywords

• nonn
• cons
• easy

Comments

The imaginary part associated with A205885.

Examples

			0.3909001784211668179621792998...
		

Links

• Wikipedia, Fresnel Integral.

Crossrefs

Cf. A002194, A204068, A205885.

Programs

Maple

evalf(sqrt(3)*GAMMA(2/3)/6) ;

Mathematica

RealDigits[Sqrt[3] * Gamma[2/3] / 6, 10, 120][[1]] (* Amiram Eldar, Aug 23 2024 *)

Formula

Equals A205885 times A002194.