A206160 Decimal expansion of the Fresnel Integral int_{x=0..infinity} 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

0,1

Comments

The imaginary part associated with A205885.

The integral int_{x=0..infinity} x^2*sin(x^3)dx = 1/3 by elementary substitution.

Links

Table of n, a(n) for n=0..71.

Wikipedia, Fresnel Integral

Formula

Equals A205885 times A002194.

Example

0.3909001784211668179621792998...

Maple

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

Crossrefs

Cf. A204068.

Sequence in context: A195456 A021723 A343618 * A112972 A334191 A258147

Adjacent sequences: A206157 A206158 A206159 * A206161 A206162 A206163

Keyword

nonn,cons,easy

Author

R. J. Mathar, Jan 10 2013

Status

approved