

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
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OFFSET

1,1


REFERENCES

S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 5965
D. Shanks, Further evaluation of Khintchine's constant, Math. Comp., 14 (1960), 370371.
D. Shanks and J. W. Wrench, Jr., Khintchine's constant, Amer. Math. Monthly, 66 (1959), 276279.
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. AddisonWesley, 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 A247572 A065129
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



