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A143744
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The number of steps needed to generate the next largest juggler number.
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0
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0, 0, 3, 2, 3, 8, 9, 17, 47, 32, 54, 25, 43, 39, 60, 148, 99, 89, 67
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| 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.
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REFERENCES
| C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 233.
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LINKS
| Eric Weisstein's World of Mathematics, Juggler Sequence
H. J. Smith, Juggler Sequence
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EXAMPLE
| 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.
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CROSSREFS
| Cf. A007320, A094670, A094679, A094683, A094684, A095908.
Sequence in context: A016602 A131134 A151690 * A095243 A049921 A191628
Adjacent sequences: A143741 A143742 A143743 * A143745 A143746 A143747
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KEYWORD
| nonn
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AUTHOR
| Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 08 2008
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