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A143306
Decimal expansion of the transcendental constant in the definition of van der Corput's constant (negated).
2
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, 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, 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
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
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
Cf. A143305.
Sequence in context: A295874 A182548 A322933 * A199075 A228045 A011361
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Aug 05 2008
STATUS
approved