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 A002667 Continued cotangent for Pi. (Formerly M3171 N1286) 19
 3, 73, 8599, 400091364, 371853741549033970, 253461181173408820488703379557217678 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340. 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). LINKS Harry J. Smith, Table of n, a(n) for n = 0..9 D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340. [Annotated scanned copy] Index entries for sequences related to the number Pi PROG (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]))); } \\ Harry J. Smith, May 04 2009 CROSSREFS Sequence in context: A020517 A119017 A307232 * A145675 A336873 A121981 Adjacent sequences: A002664 A002665 A002666 * A002668 A002669 A002670 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms from Jeffrey Shallit STATUS approved

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Last modified May 29 22:39 EDT 2023. Contains 363044 sequences. (Running on oeis4.)