OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 4.2 Lebesgue constants, p. 254.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
P. Vértesi, Optimal Lebesgue constant for Lagrange interpolation, SIAM J. Numer. Anal., 27(5), 1322-1331.
FORMULA
Equals 2/Pi*(2*log(2) - log(Pi) + gamma), where gamma is the Euler-Mascheroni constant.
EXAMPLE
0.5212516264554098210052192041271783...
MATHEMATICA
RealDigits[2/Pi*(2*Log[2] - Log[Pi] + EulerGamma), 10, 104] // First
PROG
(PARI) default(realprecision, 100); (2/Pi)*(2*log(2) - log(Pi) + Euler) \\ G. C. Greubel, Sep 04 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (2/Pi(R))*(2*Log(2) - Log(Pi(R)) + EulerGamma(R)); // G. C. Greubel, Sep 04 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Jun 02 2014
STATUS
approved