A206161 Decimal expansion of the Fresnel integral int_{x=0..infinity} cos(x^4) dx.

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

Offset

0,1

Links

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

Wikipedia, Fresnel Integral

Formula

Equals A093954 * A144981 / A068465 .

Example

0.83740669676908648308360272218083226...

Maple

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

Mathematica

RealDigits[ Sqrt[2 + Sqrt[2]]*Gamma[1/4]/8, 10, 72] // First (* Jean-François Alcover, Feb 20 2013 *)

Crossrefs

Cf. A204067.

Sequence in context: A277775 A199719 A301813 * A131654 A241243 A358939

Adjacent sequences: A206158 A206159 A206160 * A206162 A206163 A206164

Keyword

nonn,cons,easy

Author

R. J. Mathar, Jan 10 2013

Status

approved