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A163243 Decimal expansion of the natural logarithm of Khintchine's constant. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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} log2(floor(1/x))/(x+1) dx (Corless, 1992).

Equals A247038/log(2). (End)

EXAMPLE

0.9878490568...

MATHEMATICA

RealDigits[ Log[ Khinchin], 10, 100] // First (* Jean-Fran├žois 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

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Last modified May 9 10:53 EDT 2021. Contains 343732 sequences. (Running on oeis4.)