A143744 The number of steps needed to generate the next largest juggler number.

0, 0, 3, 2, 3, 8, 9, 17, 47, 32, 54, 25, 43, 39, 60, 148, 99, 89, 67

Offset: 1

Author

Harry J. Smith, Oct 08 2008

Keywords

• nonn

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

			8 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.
		

References

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

Links

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

Crossrefs

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