van der Corput's Constant

Van der Corput's constant is given by

			(1)
			(2)
			(3)

(OEIS A143305), where  and  are Fresnel integrals,

(4)

and  is the transcendental root of

			(5)
			(6)

with , namely

(7)

(OEIS A143306).

REFERENCES:

Finch, S. R. "Van der Corput's Constant." §3.15 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 245-247, 2003.

Sloane, N. J. A. Sequences A143305 and A143306 in "The On-Line Encyclopedia of Integer Sequences."