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

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, 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, 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

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..2500

Robert M. Corless, Continued fractions and chaos, The American Mathematical Monthly, Vol. 99, No. 3 (1992), pp. 203-215.

Eric Weisstein's World of Mathematics, Khinchin's Constant.

J. W. Wrench, Jr., Further Evaluation of Khintchine's Constant, Mathematics of Computation, Vol. 14, No. 72 (1960), pp. 370-371.

Formula

Equals log(A002210).

From Amiram Eldar, Aug 19 2020: (Start)

Equals Integral_{x=0..1} log_2(floor(1/x))/(x+1) dx (Corless, 1992).

Equals A247038/log(2). (End)

Example

0.9878490568...

Mathematica

RealDigits[ Log[ Khinchin], 10, 100] // First (* Jean-François Alcover, Feb 20 2013 *)

Crossrefs

Cf. A002210, A247038.

Sequence in context: A021905 A200688 A288239 * A060799 A094146 A021507

Adjacent sequences: A163240 A163241 A163242 * A163244 A163245 A163246

Keyword

cons,nonn

Author

R. J. Mathar, Jul 23 2009

Status

approved