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A143744 The number of steps needed to generate the next largest juggler number. 0
0, 0, 3, 2, 3, 8, 9, 17, 47, 32, 54, 25, 43, 39, 60, 148, 99, 89, 67 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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

Table of n, a(n) for n=1..19.

Eric Weisstein's World of Mathematics, Juggler Sequence

H. J. Smith, Juggler Sequence

EXAMPLE

8 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

Cf. A007320, A094670, A094679, A094683, A094684, A095908.

Sequence in context: A131134 A151690 A288247 * A095243 A049921 A191628

Adjacent sequences:  A143741 A143742 A143743 * A143745 A143746 A143747

KEYWORD

nonn

AUTHOR

Harry J. Smith, Oct 08 2008

STATUS

approved

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Last modified June 19 15:55 EDT 2021. Contains 345143 sequences. (Running on oeis4.)