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Search: id:A143742
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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
1
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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; listen)
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OFFSET
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1,2
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COMMENT
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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
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C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 233.
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LINKS
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Eric Weisstein's World of Mathematics, Juggler Sequence
H. J. Smith, Juggler Sequence
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EXAMPLE
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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
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Cf. A007320, A094670, A094679, A094683, A094684, A095908.
Sequence in context: A151825 A111240 A056198 this_sequence A038523 A096237 A057231
Adjacent sequences: A143739 A143740 A143741 this_sequence A143743 A143744 A143745
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KEYWORD
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nonn
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AUTHOR
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Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 06 2008
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