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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 (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.

REFERENCES

C. Pickover, Computers and the Imagination, St. Martin's Press, NY, 1991, p. 233.

LINKS

Table of n, a(n) for n=1..20.

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

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

Sequence in context: A318231 A242271 A056198 * A038523 A096237 A309814

Adjacent sequences:  A143739 A143740 A143741 * A143743 A143744 A143745

KEYWORD

nonn

AUTHOR

Harry J. Smith, Oct 06 2008

STATUS

approved

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Last modified April 22 10:28 EDT 2021. Contains 343174 sequences. (Running on oeis4.)