This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A206769 #12 Aug 23 2024 03:52:33 %S A206769 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 A206769 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 A206769 8,2,9 %N A206769 Decimal expansion of the Fresnel integral Integral_{x=0..oo} sin(x^4) dx. %C A206769 Imaginary part associated with A206161. %H A206769 Wikipedia, <a href="http://en.wikipedia.org/wiki/Fresnel_integral">Fresnel Integral</a>. %F A206769 Equals A093954 * A182168 / A068465. %F A206769 (this constant)^2 + A206161 ^2 = A068467 ^2. %e A206769 0.3468652110238094960420351000471... %p A206769 evalf(Pi*sin(Pi/8)/GAMMA(3/4)/2^(3/2)) ; %t A206769 RealDigits[Pi * Sin[Pi/8] / (2^(3/2) * Gamma[3/4]), 10, 120][[1]] (* _Amiram Eldar_, Aug 23 2024 *) %Y A206769 Cf. A068465, A068467, A093954, A182168, A206161. %K A206769 nonn,cons,easy %O A206769 0,1 %A A206769 _R. J. Mathar_, Jan 10 2013