A206769 Decimal expansion of the Fresnel integral Integral_{x=0..oo} sin(x^4) dx.

3, 4, 6, 8, 6, 5, 2, 1, 1, 0, 2, 3, 8, 0, 9, 4, 9, 6, 0, 4, 2, 0, 3, 5, 1, 0, 0, 0, 4, 7, 1, 1, 3, 3, 2, 5, 3, 1, 8, 1, 1, 8, 7, 8, 0, 5, 7, 1, 6, 2, 0, 0, 8, 2, 3, 3, 6, 4, 4, 9, 2, 4, 3, 8, 6, 8, 1, 1, 8, 2, 9

Offset

0,1

Comments

Imaginary part associated with A206161.

Links

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

Wikipedia, Fresnel Integral.

Formula

Equals A093954 * A182168 / A068465.

(this constant)^2 + A206161 ^2 = A068467 ^2.

Example

0.3468652110238094960420351000471...

Maple

evalf(Pi*sin(Pi/8)/GAMMA(3/4)/2^(3/2)) ;

Mathematica

RealDigits[Pi * Sin[Pi/8] / (2^(3/2) * Gamma[3/4]), 10, 120][[1]] (* Amiram Eldar, Aug 23 2024 *)

Crossrefs

Cf. A068465, A068467, A093954, A182168, A206161.

Sequence in context: A168170 A290115 A225794 * A141219 A069211 A368152

Adjacent sequences: A206766 A206767 A206768 * A206770 A206771 A206772

Keyword

nonn,cons,easy

Author

R. J. Mathar, Jan 10 2013

Status

approved