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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 <- [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.

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

Harry J. Smith, Table of n, a(n) for n = 1..9

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

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

Sequence in context: A196558 A187509 A134785 * A199944 A227927 A007757

Adjacent sequences:  A143742 A143743 A143744 * A143746 A143747 A143748

KEYWORD

nonn

AUTHOR

Harry J. Smith, Oct 08 2008

STATUS

approved

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Last modified October 23 22:58 EDT 2019. Contains 328379 sequences. (Running on oeis4.)