login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A143745 The next largest juggler number. 1
1, 2, 36, 140, 52214, 24906114455136, 202924588924125339424550328 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The juggler sequence: begin with a starting value x and if x is even, x <- floor(sqrt(x)) and if x is odd, x <- floor(sqrt(x^3)) and repeat until x = 1, save the starting value, max x and the number of steps needed to reach it.
I have a b-file for this sequence for n=1,...,19 (all known values), but some a(n) values are much larger than 1000 digits.
REFERENCES
C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 233.
LINKS
H. J. Smith, Juggler Sequence
Eric Weisstein's World of Mathematics, Juggler Sequence
EXAMPLE
24906114455136 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
Sequence in context: A196558 A187509 A134785 * A199944 A357445 A227927
KEYWORD
nonn
AUTHOR
Harry J. Smith, Oct 08 2008
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)