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%I #12 Jan 17 2020 16:20:43
%S 1,4,0,3,8,2,1,9,6,5,1,5,5,3,5,5,1,6,5,7,3,0,3,6,3,7,3,8,8,9,9,6,1,0,
%T 2,7,7,4,8,0,0,3,5,3,2,8,3,0,6,6,5,7,0,2,2,0,7,0,0,0,4,5,5,7,2,5,8,4,
%U 8,6,4,0,8,1,3,7,8,1,3,4,8,0,0,2,3,0,0,2,9,0,8,4,7,6,6,2,7,4,4,9,2
%N Decimal expansion of L = integral_{0..1} 1/(1-2t^2/3) dt, an auxiliary constant associated with one of the integral inequalities studied by David Boyd.
%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.6 Sobolev Isoperimetric Constants.
%H David W. Boyd, <a href="http://projecteuclid.org/euclid.pjm/1102978495">Best constants in a class of integral inequalities</a>, Pacific J. Math. Volume 30, Number 2 (1969), 367-383
%H Steven R. Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants</a>, p. 31.
%F L = sqrt(3/2]*arctanh(sqrt(2/3)).
%F K = A246859 = 2/(L+1)^2.
%e 1.40382196515535516573036373889961027748003532830665702207...
%t RealDigits[Sqrt[3/2]*ArcTanh[Sqrt[2/3]], 10, 101] // First
%Y Cf. A242440, A244263, A244347, A244354, A245292, A246859.
%K nonn,cons,easy
%O 1,2
%A _Jean-François Alcover_, Oct 16 2014
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