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A143742
Starting values that produce a larger juggler number than smaller starting values.
0
1, 2, 3, 9, 25, 37, 113, 173, 193, 2183, 11229, 15065, 15845, 30817, 48443, 275485, 1267909, 2264915, 5812827, 7110201
OFFSET
1,2
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.
REFERENCES
C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 233.
LINKS
Eric Weisstein's World of Mathematics, Juggler Sequence
H. J. Smith, Juggler Sequence
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.
CROSSREFS
KEYWORD
nonn
AUTHOR
Harry J. Smith, Oct 06 2008
STATUS
approved