cp's OEIS Frontend

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.

A206160 Decimal expansion of the Fresnel integral Integral_{x=0..oo} x*sin(x^3) dx.

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%I A206160 #15 Aug 23 2024 08:38:39
%S A206160 3,9,0,9,0,0,1,7,8,4,2,1,1,6,6,8,1,7,9,6,2,1,7,9,2,9,9,8,4,2,7,1,6,0,
%T A206160 8,1,8,8,6,5,3,9,5,3,8,3,8,3,8,3,1,7,3,6,6,3,0,4,9,9,4,3,0,7,9,4,1,4,
%U A206160 2,4,4,8
%N A206160 Decimal expansion of the Fresnel integral Integral_{x=0..oo} x*sin(x^3) dx.
%C A206160 The imaginary part associated with A205885.
%H A206160 Wikipedia, <a href="http://en.wikipedia.org/wiki/Fresnel_integral">Fresnel Integral</a>.
%F A206160 Equals A205885 times A002194.
%e A206160 0.3909001784211668179621792998...
%p A206160 evalf(sqrt(3)*GAMMA(2/3)/6) ;
%t A206160 RealDigits[Sqrt[3] * Gamma[2/3] / 6, 10, 120][[1]] (* _Amiram Eldar_, Aug 23 2024 *)
%Y A206160 Cf. A002194, A204068, A205885.
%K A206160 nonn,cons,easy
%O A206160 0,1
%A A206160 _R. J. Mathar_, Jan 10 2013