OFFSET
0,1
COMMENTS
The unique solution c to the equation Integral_{x=0..sqrt(Pi/2-c)} sin(x^2 + c) dx in the range [-Pi/2, Pi/2]. - Amiram Eldar, Jun 06 2021
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, van der Corput's Constant.
EXAMPLE
-0.72664324681324250959...
MATHEMATICA
c0 = c /. FindRoot[ Cos[c]*FresnelS[Sqrt[1 - 2*c/Pi]] + FresnelC[Sqrt[1 - 2*c/Pi]]*Sin[c] == 0, {c, -1}, WorkingPrecision -> 110]; RealDigits[c0, 10, 105][[1]] (* Jean-François Alcover, Jul 16 2013, after Eric W. Weisstein *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Aug 05 2008
STATUS
approved