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A206769 Decimal expansion of the Fresnel integral int_{x=0..infinity} sin(x^4) dx. 1

%I

%S 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,

%T 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,

%U 8,2,9

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

%C Imaginary part associated with A206161.

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

%F Equals A093954 * A182168 / A068465.

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

%e 0.3468652110238094960420351000471..

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

%K nonn,cons,easy

%O 0,1

%A _R. J. Mathar_, Jan 10 2013

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Last modified February 22 10:15 EST 2019. Contains 320390 sequences. (Running on oeis4.)