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

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Wikipedia, Fresnel Integral

Formula

Equals A073006/6.

Example

0.2256863232377334028242146713590856309...

Maple

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

Mathematica

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

Prog

(PARI) gamma(2/3)/6 \\ G. C. Greubel, Dec 13 2017
(Magma) C<i> := ComplexField(); [Gamma(2/3)/6]; // G. C. Greubel, Dec 13 2017

Crossrefs

Sequence in context: A249521 A355345 A034803 * A360690 A239262 A288496

Adjacent sequences: A205882 A205883 A205884 * A205886 A205887 A205888

Keyword

nonn,cons,easy

Author

R. J. Mathar, Jan 10 2013

Status

approved