Search: id:A143744
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%I A143744
%S A143744 0,0,3,2,3,8,9,17,47,32,54,25,43,39,60,148,99,89,67
%N A143744 The number of steps needed to generate the next largest juggler number.
%C A143744 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 A143744 C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, 
               p. 233.
%H A143744 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               JugglerSequence.html">Juggler Sequence</a>
%H A143744 H. J. Smith, <a href="http://harry-j-smith.com/hjsmithh/Juggler/JuggWhat.html">
               Juggler Sequence</a>
%e A143744 8 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 A143744 Cf. A007320, A094670, A094679, A094683, A094684, A095908.
%Y A143744 Sequence in context: A016602 A131134 A151690 this_sequence A095243 A049921 
               A022460
%Y A143744 Adjacent sequences: A143741 A143742 A143743 this_sequence A143745 A143746 
               A143747
%K A143744 nonn
%O A143744 1,3
%A A143744 Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 08 2008

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