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A143742
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Starting values that produce a larger juggler number than smaller starting values.
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0
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1, 2, 3, 9, 25, 37, 113, 173, 193, 2183, 11229, 15065, 15845, 30817, 48443, 275485, 1267909, 2264915, 5812827, 7110201
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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
| 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.
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CROSSREFS
| Cf. A007320, A094670, A094679, A094683, A094684, A095908.
Sequence in context: A151825 A111240 A056198 * A038523 A096237 A177928
Adjacent sequences: A143739 A143740 A143741 * A143743 A143744 A143745
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KEYWORD
| nonn
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AUTHOR
| Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 06 2008
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