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A002210 Decimal expansion of Khintchine's constant.
(Formerly M1564 N0609)
40
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

COMMENTS

Carles Simó, Oct 11 2016, reports that he has computed 10^6 terms of this sequence (see links). - N. J. A. Sloane, Nov 04 2016

REFERENCES

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

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

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

Carles Simó, Computation of 10^6 digits of Khintchine's constant

Carles Simó, Computation of 10^6 digits of Khintchine's constant [Cached copy, with permission]

Carles Simó, 10^6 digits of Khintchine's constant [Cached copy, with permission]

Eric Weisstein's World of Mathematics, Continued Fraction

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

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

Thomas Wieting, A Khinchin Sequence, Proc. Amer. Math. Soc. 136 (2008), 815-824.

Wikipedia, Khinchin's constant

J. W. Wrench, Further evaluation of Khintchine's constant, Math. Comp., 14 (1960), 370-371.

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 A247572 A065129

Adjacent sequences:  A002207 A002208 A002209 * A002211 A002212 A002213

KEYWORD

nonn,cons,nice

AUTHOR

N. J. A. Sloane.

EXTENSIONS

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

STATUS

approved

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Last modified December 6 15:09 EST 2016. Contains 278781 sequences.