A206160 - OEIS

A206160

Decimal expansion of the Fresnel integral Integral_{x=0..oo} 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

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OFFSET

0,1

COMMENTS

The imaginary part associated with A205885.

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) ;

MATHEMATICA

RealDigits[Sqrt[3] * Gamma[2/3] / 6, 10, 120][[1]] (* Amiram Eldar, Aug 23 2024 *)

CROSSREFS

Cf. A002194, A204068, A205885.

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