# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a143306 Showing 1-1 of 1 %I A143306 #16 Jun 06 2021 07:32:44 %S A143306 7,2,6,6,4,3,2,4,6,8,1,3,2,4,2,5,0,9,5,9,0,2,1,9,5,5,5,9,4,1,9,8,5,5, %T A143306 6,3,2,5,7,2,7,8,9,3,3,4,6,9,9,9,4,0,0,8,6,8,7,9,7,5,9,0,8,3,5,7,0,9, %U A143306 0,2,6,6,9,3,7,0,9,4,5,6,3,3,7,3,1,3,2,1,9,9,5,4,5,0,3,0,7,6,9,5,1,2,8,5,2 %N A143306 Decimal expansion of the transcendental constant in the definition of van der Corput's constant (negated). %C A143306 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 %H A143306 G. C. Greubel, Table of n, a(n) for n = 0..10000 %H A143306 Eric Weisstein's World of Mathematics, van der Corput's Constant. %e A143306 -0.72664324681324250959... %t A143306 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_ *) %Y A143306 Cf. A143305. %K A143306 nonn,cons %O A143306 0,1 %A A143306 _Eric W. Weisstein_, Aug 05 2008 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE