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Search: id:A002667
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| A002667 |
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Continued cotangent for Pi. (Formerly M3171 N1286)
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+0 19
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| 3, 73, 8599, 400091364, 371853741549033970, 253461181173408820488703379557217678
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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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,...,9
Index entries for sequences related to the number Pi
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PROGRAM
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(PARI) { default(realprecision, 10000); bn=vector(10); bn[1]=Pi; for(n=2, 10, bn[n]=(bn[n-1]*floor(bn[n-1]) + 1)/(bn[n-1] - floor(bn[n-1]))); for (n=1, 10, write("b002667.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: A002664 A002665 A002666 this_sequence A002668 A002669 A002670
Sequence in context: A012810 A020517 A119017 this_sequence A145675 A093183 A125520
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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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