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 A340533 Decimal expansion of log_2(4/Pi). 2
 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, 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, 7, 0, 3, 6, 4, 1, 5, 4, 5, 8, 5, 6, 1, 0, 3, 9, 7, 3, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Probability of a coefficient in the continued fraction being even, where the continued fraction coefficients satisfy the Gauss-Kuzmin distribution. LINKS V. N. Nolte, Some probabilistic results on the convergents of continued fractions, Indagationes Mathematicae, Vol. 1, No. 3 (1990), pp. 381-389. FORMULA Equals 2 - A216582. Equals log_2(A088538). Equals -Sum_{k >= 1} log_2(1-1/(2*k+1)^2). Equals 1-A340543. EXAMPLE 0.348503870527681201956720704891992664981523... MATHEMATICA RealDigits[Log[4/Pi]/Log[2], 10, 100][[1]] (* Amiram Eldar, Jan 10 2021 *) PROG (PARI) log(4/Pi)/log(2) CROSSREFS Cf. A088538, A216582, A340543. Sequence in context: A127122 A086850 A245598 * A050274 A262951 A288091 Adjacent sequences:  A340530 A340531 A340532 * A340534 A340535 A340536 KEYWORD nonn,cons AUTHOR A.H.M. Smeets, Jan 10 2021 STATUS approved

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Last modified July 30 00:57 EDT 2021. Contains 346346 sequences. (Running on oeis4.)