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%I #27 Nov 17 2024 07:10:55
%S 9,8,7,8,4,9,0,5,6,8,3,3,8,1,0,7,8,9,6,6,9,2,5,4,7,2,7,1,4,7,0,7,2,9,
%T 5,4,3,2,6,1,9,9,2,5,4,9,6,0,8,8,6,7,3,5,4,2,7,7,5,5,3,0,0,6,8,7,2,1,
%U 0,9,2,7,0,9,4,1,8,5,1,2,9,0,9,3,8,2,0,7,6,8,8,3,3,7,2,7,5,2,5,9
%N Decimal expansion of the natural logarithm of Khinchin's constant.
%D Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.8, p. 60.
%H G. C. Greubel, <a href="/A163243/b163243.txt">Table of n, a(n) for n = 0..2500</a>
%H Robert M. Corless, <a href="https://www.jstor.org/stable/2325053">Continued fractions and chaos</a>, The American Mathematical Monthly, Vol. 99, No. 3 (1992), pp. 203-215.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/KhinchinsConstant.html">Khinchin's Constant</a>.
%H J. W. Wrench, Jr., <a href="https://doi.org/10.1090/S0025-5718-1960-0170455-1">Further Evaluation of Khintchine's Constant</a>, Mathematics of Computation, Vol. 14, No. 72 (1960), pp. 370-371.
%F Equals log(A002210).
%F From _Amiram Eldar_, Aug 19 2020: (Start)
%F Equals Integral_{x=0..1} log_2(floor(1/x))/(x+1) dx (Corless, 1992).
%F Equals A247038/log(2). (End)
%e 0.98784905683381078966925472714707295432619925496...
%t RealDigits[ Log[ Khinchin], 10, 100] // First (* _Jean-François Alcover_, Feb 20 2013 *)
%Y Cf. A002210, A247038.
%K cons,nonn
%O 0,1
%A _R. J. Mathar_, Jul 23 2009