%I A143743
%S A143743 1,1,2,3,5,14,27,82,271,5929,8201,11723,23889,45391,972463,1909410,
%T A143743 1952329,2855584,7996276
%N A143743 The number of digits in the next largest juggler number.
%C A143743 The juggler sequence: begin with a starting value x and if x is even, 
               x <- [sqrt(x)] and if x is odd, x <- [sqrt(x^3)] and repeat until 
               x = 1, save the starting value, max x and the number of steps needed 
               to reach it.
%D A143743 C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, 
               p. 233.
%H A143743 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               JugglerSequence.html">Juggler Sequence</a>
%H A143743 H. J. Smith, <a href="http://harry-j-smith.com/hjsmithh/Juggler/JuggWhat.html">
               Juggler Sequence</a>
%e A143743 14 is in the sequence because starting at 37 the juggler sequences maxes 
               out at 24906114455136, a 14 digit number, after 8 steps. This is 
               the largest juggler number found for starting values less than or 
               equal to 37.
%Y A143743 Cf. A007320, A094670, A094679, A094683, A094684, A095908.
%Y A143743 Sequence in context: A115347 A126333 A039575 this_sequence A104870 A114411 
               A155698
%Y A143743 Adjacent sequences: A143740 A143741 A143742 this_sequence A143744 A143745 
               A143746
%K A143743 nonn
%O A143743 1,3
%A A143743 Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 08 2008