A206161 - OEIS

%I #11 Feb 20 2013 08:37:52

%S 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,

%T 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,

%U 9,0,3,9

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

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Fresnel_integral">Fresnel Integral</a>

%F Equals A093954 * A144981 / A068465 .

%e 0.83740669676908648308360272218083226...

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

%t RealDigits[ Sqrt[2 + Sqrt[2]]*Gamma[1/4]/8, 10, 72] // First (* _Jean-François Alcover_, Feb 20 2013 *)

%Y Cf. A204067.

%K nonn,cons,easy

%O 0,1

%A _R. J. Mathar_, Jan 10 2013