A243257 Decimal expansion of a constant related to the asymptotic expansion of the Lebesgue constant corresponding to the n-th Chebyshev polynomial.

9, 6, 2, 5, 2, 2, 8, 2, 6, 7, 6, 0, 7, 1, 3, 0, 0, 7, 7, 9, 8, 1, 3, 2, 0, 6, 8, 3, 6, 3, 1, 7, 3, 6, 8, 3, 7, 6, 7, 2, 4, 1, 5, 3, 6, 4, 2, 3, 2, 8, 6, 5, 7, 1, 4, 3, 0, 5, 8, 9, 7, 9, 8, 5, 1, 9, 3, 8, 5, 5, 2, 6, 1, 7, 1, 1, 6, 6, 0, 7, 1, 5, 5, 9, 7, 2, 5, 0, 8, 6, 2, 2, 9, 8, 8, 0, 9, 6, 1, 3, 7, 4

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 4.2 Lebesgue constants, p. 253.

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

P. Erdős, Problems and results on the theory of interpolation. II

Formula

Equals 2/Pi*(3*log(2) - log(Pi) + gamma), where gamma is the Euler-Mascheroni constant.

Example

0.96252282676071300779813206836317368376724153642328657143...

Mathematica

RealDigits[2/Pi*(3*Log[2] - Log[Pi] + EulerGamma), 10, 102] // First

Prog

(PARI) default(realprecision, 100); (2/Pi)*(3*log(2) - log(Pi) + Euler) \\ G. C. Greubel, Sep 04 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (2/Pi(R))*(3*Log(2) - Log(Pi(R)) + EulerGamma(R)); // G. C. Greubel, Sep 04 2018

Crossrefs

Cf. A243258, A001620.

Sequence in context: A011219 A202543 A188528 * A194182 A019961 A327996

Adjacent sequences: A243254 A243255 A243256 * A243258 A243259 A243260

Keyword

nonn,cons

Author

Jean-François Alcover, Jun 02 2014

Status

approved