%I #14 Sep 08 2022 08:46:08
%S 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,
%T 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,
%U 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
%N Decimal expansion of a constant related to the asymptotic expansion of the Lebesgue constant corresponding to the n-th Chebyshev polynomial.
%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 4.2 Lebesgue constants, p. 253.
%H G. C. Greubel, <a href="/A243257/b243257.txt">Table of n, a(n) for n = 0..10000</a>
%H P. Erdős, <a href="http://www.renyi.hu/~p_erdos/1961-20.pdf">Problems and results on the theory of interpolation. II</a>
%F Equals 2/Pi*(3*log(2) - log(Pi) + gamma), where gamma is the Euler-Mascheroni constant.
%e 0.96252282676071300779813206836317368376724153642328657143...
%t RealDigits[2/Pi*(3*Log[2] - Log[Pi] + EulerGamma), 10, 102] // First
%o (PARI) default(realprecision, 100); (2/Pi)*(3*log(2) - log(Pi) + Euler) \\ _G. C. Greubel_, Sep 04 2018
%o (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (2/Pi(R))*(3*Log(2) - Log(Pi(R)) + EulerGamma(R)); // _G. C. Greubel_, Sep 04 2018
%Y Cf. A243258, A001620.
%K nonn,cons
%O 0,1
%A _Jean-François Alcover_, Jun 02 2014