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A206160 Decimal expansion of the Fresnel Integral int_{x=0..infinity} x*sin(x^3) dx 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A011337 A195456 A021723 * A112972 A258147 A016673

Adjacent sequences:  A206157 A206158 A206159 * A206161 A206162 A206163

KEYWORD

nonn,cons,easy

AUTHOR

R. J. Mathar, Jan 10 2013

STATUS

approved

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Last modified January 20 02:05 EST 2019. Contains 319320 sequences. (Running on oeis4.)