cp's OEIS Frontend

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.

A163243 Decimal expansion of the natural logarithm of Khinchin's constant.

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%I A163243 #28 Feb 16 2025 08:33:11
%S A163243 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 A163243 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 A163243 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 A163243 Decimal expansion of the natural logarithm of Khinchin's constant.
%D A163243 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.8, p. 60.
%H A163243 G. C. Greubel, <a href="/A163243/b163243.txt">Table of n, a(n) for n = 0..2500</a>
%H A163243 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 A163243 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/KhinchinsConstant.html">Khinchin's Constant</a>.
%H A163243 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 A163243 Equals log(A002210).
%F A163243 From _Amiram Eldar_, Aug 19 2020: (Start)
%F A163243 Equals Integral_{x=0..1} log_2(floor(1/x))/(x+1) dx (Corless, 1992).
%F A163243 Equals A247038/log(2). (End)
%e A163243 0.98784905683381078966925472714707295432619925496...
%t A163243 RealDigits[ Log[ Khinchin], 10, 100] // First (* _Jean-François Alcover_, Feb 20 2013 *)
%Y A163243 Cf. A002210, A247038.
%K A163243 cons,nonn
%O A163243 0,1
%A A163243 _R. J. Mathar_, Jul 23 2009