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A002210 Decimal expansion of Khintchine's constant.
(Formerly M1564 N0609)
31
2, 6, 8, 5, 4, 5, 2, 0, 0, 1, 0, 6, 5, 3, 0, 6, 4, 4, 5, 3, 0, 9, 7, 1, 4, 8, 3, 5, 4, 8, 1, 7, 9, 5, 6, 9, 3, 8, 2, 0, 3, 8, 2, 2, 9, 3, 9, 9, 4, 4, 6, 2, 9, 5, 3, 0, 5, 1, 1, 5, 2, 3, 4, 5, 5, 5, 7, 2, 1, 8, 8, 5, 9, 5, 3, 7, 1, 5, 2, 0, 0, 2, 8, 0, 1, 1, 4, 1, 1, 7, 4, 9, 3, 1, 8, 4, 7, 6, 9, 7, 9, 9, 5, 1, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 59-65

D. Shanks, Further evaluation of Khintchine's constant, Math. Comp., 14 (1960), 370-371.

D. Shanks and J. W. Wrench, Jr., Khintchine's constant, Amer. Math. Monthly, 66 (1959), 276-279.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

I. Vardi, Computational Recreations in Mathematica. Addison-Wesley, Redwood City, CA, 1991, p. 164.

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..1200

D. H. Bailey, J. M. Borwein & R. E. Crandall, On the Khintchine Constant

D. H. Bailey, J. M. Borwein, V. Kapoor and E. Weisstein, Ten Problems in Experimental Mathematics

Ph. Flajolet and I. Vardi, Zeta function expansions of some classical constants

Brady Haran and Tony Padilla, Six Sequences - Numberphile (2013).

Christian Perfect, Integer sequence reviews on Numberphile (or vice versa), 2013.

Simon Plouffe,  110000 digits of the Khintchine constant

Simon Plouffe, Khinchin constant to 1024 digits

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

Eric Weisstein's World of Mathematics, Continued Fraction

Wikipedia, Khinchin's constant

EXAMPLE

2.685452001065306445309714835481795693820382293994462953051152345557218...

MATHEMATICA

RealDigits[N[Khinchin, 100]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jun 18 2009 *)

CROSSREFS

Cf. A002211.

Sequence in context: A121862 A095677 A011045 * A145500 A065129 A074758

Adjacent sequences:  A002207 A002208 A002209 * A002211 A002212 A002213

KEYWORD

nonn,cons,nice

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Fixed my PARI program, had -n Harry J. Smith, May 19 2009

Pari code removed by D. S. McNeil, Dec 26 2010

STATUS

approved

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Last modified April 21 02:07 EDT 2014. Contains 240824 sequences.