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 A002666 Continued cotangent for square root of 2. (Formerly M3983 N1652) 19
 1, 5, 36, 3406, 14694817, 727050997716715, 2074744506784679417243551677046, 46045625970633183674340934067371917846908361831894602280765110 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES 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..11 D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340. [Annotated scanned copy] D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340. Eric Weisstein's World of Mathematics, Lehmer Cotangent Expansion PROG (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]))); } \\ Harry J. Smith, May 04 2009 CROSSREFS Sequence in context: A118018 A318424 A156355 * A222592 A174507 A119483 Adjacent sequences:  A002663 A002664 A002665 * A002667 A002668 A002669 KEYWORD nonn AUTHOR EXTENSIONS More terms from Jeffrey Shallit STATUS approved

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Last modified November 28 13:47 EST 2021. Contains 349413 sequences. (Running on oeis4.)