%I A143742
%S A143742 1,2,3,9,25,37,113,173,193,2183,11229,15065,15845,30817,48443,275485,
%T A143742 1267909,2264915,5812827,7110201
%N A143742 Starting values that produce a larger juggler number than smaller starting 
               values.
%C A143742 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 A143742 C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, 
               p. 233.
%H A143742 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               JugglerSequence.html">Juggler Sequence</a>
%H A143742 H. J. Smith, <a href="http://harry-j-smith.com/hjsmithh/Juggler/JuggWhat.html">
               Juggler Sequence</a>
%e A143742 37 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 A143742 Cf. A007320, A094670, A094679, A094683, A094684, A095908.
%Y A143742 Sequence in context: A151825 A111240 A056198 this_sequence A038523 A096237 
               A057231
%Y A143742 Adjacent sequences: A143739 A143740 A143741 this_sequence A143743 A143744 
               A143745
%K A143742 nonn
%O A143742 1,2
%A A143742 Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 06 2008