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%I #7 Nov 01 2024 23:45:56
%S 1,0,2,0,7,8,0,0,4,4,4,3,3,3,6,3,1,0,2,8,2,3,2,5,4,7,3,9,9,0,3,9,8,1,
%T 8,2,5,3,5,3,4,1,0,9,3,7,5,1,9,0,6,9,6,6,9,7,3,5,7,2,0,7,5,2,5,3,9,1,
%U 4,6,5,9,9,2,6,5,6,2,7,1,5,5,4,4,9,8,0,6,7,2,0,3,4,2,6,7,6,1,3,7
%N Decimal expansion of 2*Pi^3/(81*sqrt(3)) + 13*zeta(3)/27.
%D Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 42.
%H Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 52.
%F Equals Sum_{k>=0} 1/(3*k + 1)^3 (see Finch).
%F Equals -psi''(1/3)/54 (see Shamos).
%e 1.0207800444333631028232547399039818253534109375...
%t RealDigits[2Pi^3/(81Sqrt[3])+13Zeta[3]/27,10,100][[1]]
%Y Cf. A002117, A002194, A016777, A016779, A091925, A233091, A377558, A377559, A377560.
%K nonn,cons
%O 1,3
%A _Stefano Spezia_, Nov 01 2024