Search: id:A143745
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%I A143745
%S A143745 1,2,36,140,52214,24906114455136,202924588924125339424550328
%N A143745 The next largest juggler number.
%C A143745 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.
%C A143745 I have a b-file for this sequence for n=1,...,19 (all known values), 
               but some a(n) values are much larger than 1000 digits.
%D A143745 C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, 
               p. 233.
%H A143745 Harry J. Smith, <a href="b143745.txt">Table of n, a(n) for n = 1..9</
               a>
%H A143745 H. J. Smith, <a href="http://harry-j-smith.com/hjsmithh/Juggler/JuggWhat.html">
               Juggler Sequence</a>
%H A143745 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               JugglerSequence.html">Juggler Sequence</a>
%e A143745 24906114455136 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 A143745 Cf. A007320, A094670, A094679, A094683, A094684, A095908.
%Y A143745 Sequence in context: A069067 A145450 A134785 this_sequence A007757 A141217 
               A025531
%Y A143745 Adjacent sequences: A143742 A143743 A143744 this_sequence A143746 A143747 
               A143748
%K A143745 nonn
%O A143745 1,2
%A A143745 Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 08 2008

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