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Search: id:A002210
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| A002210 |
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Decimal expansion of Khintchine's constant.
(Formerly M1564 N0609)
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+0
24
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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
(list; cons; graph; listen)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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.
I. Vardi, Computational Recreations in Mathematica. Addison-Wesley, Redwood City, CA, 1991, p. 164.
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LINKS
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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
Ph. Flajolet and I. Vardi, Zeta function expansions of some classical constants
S. Plouffe, Plouffe's Inverter, 110000 digits of the Khintchine constant
S. Plouffe, Khinchin constant to 1024 digits
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
Eric Weisstein's World of Mathematics, Khinchin Constant
Eric Weisstein's World of Mathematics, Continued Fraction
D. H. Bailey, J. M. Borwein, V. Kapoor and E. Weisstein, Ten Problems in Experimental Mathematics
Wikipedia, Khinchin's constant
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EXAMPLE
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2.685452001065306445309714835481795693820382293994462953051152345557218... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 13 2009]
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MATHEMATICA
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RealDigits[N[Khinchin, 6! ]][[1]] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 18 2009]
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PROGRAM
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Contribution from Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 15 2009: (Start)
(PARI) { default(realprecision, 1201); k=2\
.685452001065306445309714835481795693820382293994462953051152345\
5572188595371520028011411749318476979951534659052880900828976777\
1641096305179253348325966838185231542133211949962603932852204481\
9409618068664166428930847788062036073705350103367263357728904990\
4270702723451702625237023545810686318501032374655803775026442524\
8528694682341899491573066189872079941372355000579357366989339508\
7902124464207528974145914769301844905060179349938522547040420337\
7985639831015709022233910000220772509651332460444439191691460859\
6823482128324622829271012690697418234847767545734898625420339266\
2351862086778136650969658314699527183744805401219536666604964826\
9890827548115254721177330319675947383719393578106059230401890711\
3496246737068412217946810740608918276695667117166837405904739368\
8095345048999704717639045134323237715103219651503824698888324870\
9353994696082647818120566349467125784366645797409778483662049777\
7486827656970871631929385128993141995186116737926546205635059513\
8571376169712687229980532767327871051376395637190231452890030581\
3691090479967275757138504356505064159082099962340277905383418098\
5121278529455415101923273972716796875156245586879771758718269365\
9554502513041968186509380313038584352986863635162; x=k; for (n=1, 1200, d=floor(x); x=(x-d)*10; write("b002210.txt", n, " ", d)); } (End)
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CROSSREFS
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Cf. A002211.
Sequence in context: A121862 A095677 A011045 this_sequence A145500 A065129 A074758
Adjacent sequences: A002207 A002208 A002209 this_sequence A002211 A002212 A002213
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KEYWORD
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nonn,cons,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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