This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A340533 #22 Feb 13 2021 15:03:07
%S A340533 3,4,8,5,0,3,8,7,0,5,2,7,6,8,1,2,0,1,9,5,6,7,2,0,7,0,4,8,9,1,9,9,2,6,
%T A340533 6,4,9,8,1,5,2,3,0,7,3,2,3,6,9,5,8,4,7,0,5,9,3,2,1,1,4,8,4,5,1,1,8,9,
%U A340533 7,0,3,6,4,1,5,4,5,8,5,6,1,0,3,9,7,3,5
%N A340533 Decimal expansion of log_2(4/Pi).
%C A340533 Probability of a coefficient in the continued fraction being even, where the continued fraction coefficients satisfy the Gauss-Kuzmin distribution.
%H A340533 V. N. Nolte, <a href="https://doi.org/10.1016/0019-3577(90)90025-I">Some probabilistic results on the convergents of continued fractions</a>, Indagationes Mathematicae, Vol. 1, No. 3 (1990), pp. 381-389.
%F A340533 Equals 2 - A216582.
%F A340533 Equals log_2(A088538).
%F A340533 Equals -Sum_{k >= 1} log_2(1-1/(2*k+1)^2).
%F A340533 Equals 1-A340543.
%e A340533 0.348503870527681201956720704891992664981523...
%t A340533 RealDigits[Log[4/Pi]/Log[2], 10, 100][[1]] (* _Amiram Eldar_, Jan 10 2021 *)
%o A340533 (PARI) log(4/Pi)/log(2)
%Y A340533 Cf. A088538, A216582, A340543.
%K A340533 nonn,cons
%O A340533 0,1
%A A340533 _A.H.M. Smeets_, Jan 10 2021