%I A002666 M3983 N1652
%S A002666 1,5,36,3406,14694817,727050997716715,2074744506784679417243551677046,
%T A002666 46045625970633183674340934067371917846908361831894602280765110
%N A002666 Continued cotangent for square root of 2.
%D A002666 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002666 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002666 D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. 
               J., 4 (1935), 323-340.
%H A002666 Harry J. Smith, <a href="b002666.txt">Table of n, a(n) for n=0,...,11</
               a>
%H A002666 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               LehmerCotangentExpansion.html">Lehmer Cotangent Expansion</a>
%o A002666 (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]
%Y A002666 Sequence in context: A132686 A118018 A156355 this_sequence A119483 A157809 
               A079339
%Y A002666 Adjacent sequences: A002663 A002664 A002665 this_sequence A002667 A002668 
               A002669
%K A002666 nonn
%O A002666 0,2
%A A002666 N. J. A. Sloane (njas(AT)research.att.com).
%E A002666 More terms from J. O. Shallit.