%I #9 Jun 10 2024 08:06:45
%S 0,3,2,6,0,9,2,6,1,7,0,9,0,2,7,2,0,2,9,0,8,1,1,2,4,3,6,0,2,7,1,5,8,5,
%T 8,4,6,2,7,9,3,1,4,0,3,7,0,0,9,6,4,1,0,5,0,7,3,3,2,9,4,2,5,4,5,1,6,0,
%U 1,5,1,3,5,5,4,8,7,6,0,3,6,6,2,1,2,4,6,4,4,0,4,5,7,9,3,8,0,5,9,1,5,4,0,1,9,3
%N Decimal expansion of Sum_{k>=0} (-1)^(k+1)*( log(2k+1)/(2k+1) + log(2k+2)/(2k+2) ).
%F Equals A078127 - A366349.
%e 0.03260926170902720290811243602...
%t RealDigits[Pi*(EulerGamma + 2*Log[2] + 3*Log[Pi] - 4*Log[Gamma[1/4]])/4 - (3 Log[2]^2 - 2 EulerGamma Log[2])/4, 10, 120, -1][[1]] (* _Amiram Eldar_, Jun 10 2024 *)
%Y Cf. A091812, A078127, A366349.
%K nonn,cons
%O 0,2
%A _R. J. Mathar_, Jun 10 2024