A205885 Decimal expansion of the Fresnel Integral int_{x=0..infinity} x*cos(x^3) dx.

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

Offset: 0

Author

R. J. Mathar, Jan 10 2013

Keywords

• nonn
• cons
• easy

Examples

			0.2256863232377334028242146713590856309...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Wikipedia, Fresnel Integral

Programs

Magma

C := ComplexField(); [Gamma(2/3)/6]; // G. C. Greubel, Dec 13 2017

Maple

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

Mathematica

RealDigits[Gamma[2/3]/6, 10, 100][[1]] (* G. C. Greubel, Dec 13 2017 *)

PARI

gamma(2/3)/6 \\ G. C. Greubel, Dec 13 2017

Formula

Equals A073006/6.