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A204068 Decimal expansion of the Fresnel Integral int_{x=0..infinity} sin(x^3) dx. 2
4, 4, 6, 4, 8, 9, 7, 5, 5, 7, 8, 4, 6, 2, 4, 6, 0, 5, 6, 0, 9, 2, 8, 2, 1, 5, 6, 8, 2, 9, 1, 1, 2, 9, 4, 0, 6, 8, 8, 1, 1, 4, 8, 9, 6, 3, 2, 6, 2, 1, 6, 8, 5, 0, 1, 5, 8, 4, 0, 4, 7, 2, 1, 2, 6, 5, 0, 6, 9, 6, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Imaginary part associated with A204067.

LINKS

Table of n, a(n) for n=0..70.

R. J. Mathar, Series expansion of generalized Fresnel integrals, arXiv:1211.3963 (2012), eq. (3.8).

Wikipedia, Fresnel Integral

FORMULA

Equals Pi/(Gamma(2/3)* 3^(3/2)) = A073010 / A073006.

(this value)^2 + A204067^2 = A202623^2.

EXAMPLE

0.446489755784624605609282...

MAPLE

evalf(Pi/GAMMA(2/3)/3^(3/2) ) ;

CROSSREFS

Sequence in context: A255014 A131089 A256486 * A066560 A205031 A276683

Adjacent sequences:  A204065 A204066 A204067 * A204069 A204070 A204071

KEYWORD

nonn,cons,easy

AUTHOR

R. J. Mathar, Jan 10 2013

STATUS

approved

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Last modified January 16 23:44 EST 2019. Contains 319206 sequences. (Running on oeis4.)