A143743 The number of digits in the next largest juggler number.

1, 1, 2, 3, 5, 14, 27, 82, 271, 5929, 8201, 11723, 23889, 45391, 972463, 1909410, 1952329, 2855584, 7996276

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