%I A100261
%S A100261 4,1,1,2,2,1,16,1,4,2,5,1,28,1,7,2,8,1,40,1,10,2,11,1,52,1,13,2,14,1,64,
%T A100261 1,16,2,17,1,76,1,19,2,20,1,88,1,22,2,23,1,100,1,25,2,26,1,112,1,28,2,
%U A100261 29,1,124,1,31,2,32,1,136,1,34,2,35,1,148,1,37,2,38,1,160,1,40
%N A100261 Continued fraction expansion of cot(1-Pi/4).
%H A100261 A. J. van der Poorten, <a href="http://www-centre.mpce.mq.edu.au/alfpapers/
               a117.pdf">Continued fraction expansions of values of the exponential 
               function...</a>
%F A100261 This number is also -Im[ (e^(2i)+i)/(e^(2i)-i) ].
%F A100261 Periodic part is ...2, 3k+2, 1, 12k+16, 1, 3k+4, ... (k=0..inf).
%e A100261 4.588037824983899981397906503733748769677138839382189177607356840...
%t A100261 ContinuedFraction[ -Im[(E^(2I) + I)/(E^(2I) - I)], 80] (from Robert G. 
               Wilson v Nov 20 2004)
%Y A100261 Cf. A005131.
%Y A100261 Sequence in context: A077604 A112985 A073693 this_sequence A016526 A030747 
               A096103
%Y A100261 Adjacent sequences: A100258 A100259 A100260 this_sequence A100262 A100263 
               A100264
%K A100261 nonn,cofr
%O A100261 1,1
%A A100261 Ralf Stephan, Nov 18 2004