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A143743 The number of digits in the next largest juggler number. 0
1, 1, 2, 3, 5, 14, 27, 82, 271, 5929, 8201, 11723, 23889, 45391, 972463, 1909410, 1952329, 2855584, 7996276 (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.

H. J. Smith, Juggler Sequence

Eric Weisstein's World of Mathematics, Juggler Sequence

EXAMPLE

14 is in the sequence because starting at 37 the juggler sequence 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: A291923 A283448 A177901 * A336273 A104870 A232162

Adjacent sequences:  A143740 A143741 A143742 * A143744 A143745 A143746

KEYWORD

nonn,base

AUTHOR

Harry J. Smith, Oct 08 2008

STATUS

approved

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Last modified June 19 15:56 EDT 2021. Contains 345144 sequences. (Running on oeis4.)