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%I #12 May 23 2021 02:47:01
%S 1,2,36,140,52214,24906114455136,202924588924125339424550328
%N The next largest juggler number.
%C The juggler sequence: begin with a starting value x and if x is even, x <- floor(sqrt(x)) and if x is odd, x <- floor(sqrt(x^3)) and repeat until x = 1, save the starting value, max x and the number of steps needed to reach it.
%C 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 C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 233.
%H Harry J. Smith, <a href="/A143745/b143745.txt">Table of n, a(n) for n = 1..9</a>
%H H. J. Smith, <a href="http://harry-j-smith-memorial.com/Juggler/JuggWhat.html">Juggler Sequence</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/JugglerSequence.html">Juggler Sequence</a>
%e 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 Cf. A007320, A094670, A094679, A094683, A094684, A095908.
%K nonn
%O 1,2
%A _Harry J. Smith_, Oct 08 2008
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