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

Author

Harry J. Smith, Oct 08 2008

Keywords

• nonn
• base

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.

Examples

			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.
		

References

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

Links

• H. J. Smith, Juggler Sequence
• Eric Weisstein's World of Mathematics, Juggler Sequence

Crossrefs

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