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A143743
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The number of digits in the next largest juggler number.
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0
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1, 1, 2, 3, 5, 14, 27, 82, 271, 5929, 8201, 11723, 23889, 45391, 972463, 1909410, 1952329, 2855584, 7996276
(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
| 14 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: A126333 A039575 A177901 * A104870 A114411 A155698
Adjacent sequences: A143740 A143741 A143742 * A143744 A143745 A143746
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KEYWORD
| nonn,base
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AUTHOR
| Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 08 2008
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