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A002210
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Decimal expansion of Khintchine's constant.
(Formerly M1564 N0609)
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48
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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
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1,1
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COMMENTS
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Named after the Soviet mathematician Aleksandr Yakovlevich Khintchine (1894 - 1959). - Amiram Eldar, Aug 19 2020
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REFERENCES
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S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 59-65.
A. Ya. Khintchine, Continued Fractions, Groningen: Noordhoff, 1963.
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.
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LINKS
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Brady Haran and Tony Padilla, Six Sequences, Numberphile video, 2013.
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FORMULA
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Equal Product_{k>=1} (1 + 1/(k*(k+2)))^log_2(k).
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EXAMPLE
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2.685452001065306445309714835481795693820382293994462953051152345557218...
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MATHEMATICA
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PROG
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(Python)
from mpmath import mp, khinchin
mp.dps = 106
print([int(k) for k in list(str(khinchin).replace('.', ''))[:-1]]) # Indranil Ghosh, Jul 08 2017
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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