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Search: id:A002666
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| A002666 |
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Continued cotangent for square root of 2.
(Formerly M3983 N1652)
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+0
19
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| 1, 5, 36, 3406, 14694817, 727050997716715, 2074744506784679417243551677046, 46045625970633183674340934067371917846908361831894602280765110
(list; graph; listen)
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OFFSET
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0,2
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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).
D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,11
Eric Weisstein's World of Mathematics, Lehmer Cotangent Expansion
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PROGRAM
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(PARI) { default(realprecision, 10000); bn=vector(12); bn[1]=sqrt(2); for(n=2, 12, bn[n]=(bn[n-1]*floor(bn[n-1]) + 1)/(bn[n-1] - floor(bn[n-1]))); for (n=1, 12, write("b002666.txt", n-1, " ", floor(bn[n]))); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 04 2009]
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CROSSREFS
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Adjacent sequences: A002663 A002664 A002665 this_sequence A002667 A002668 A002669
Sequence in context: A031971 A132686 A118018 this_sequence A119483 A079339 A043075
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KEYWORD
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nonn
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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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More terms from J. O. Shallit.
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