Juggler sequence revisited - MATLAB Cody - MATLAB Central

Problem 42836. Juggler sequence revisited

  • Created by HH
Difficulty:
(74)
Rate

This problem is related to Problem 42835.

For any starting positive integer, a(1) = x, the Juggler sequence is defined by:

a(i+1) = floor(a(i)^0.5) , for even a(i).

a(i+1) = floor(a(i)^1.5) , for odd a(i).

When a Juggler sequence reaches 1, all subsequent elements will also be 1s.

Let l(x) be the number of Juggler sequence iterations required to reach 1 with a starting value of x.

Let h(x) be the maximum value of a Juggler sequence with a starting value of x.

Given x, return l(x) and h(x).

Example:

x = 3

l = 6

h = 36

Solve

Solution Stats

70.73% Correct | 29.27% Incorrect
Last Solution submitted on Oct 30, 2022

Problem Comments

Solution Comments

Show comments
Registration Now Open for MathWorks AUTOMOTIVE CONFERENCE 2025
...
Hello Community, We're excited to announce that registration is now open for the...

Problem Recent Solvers27

Suggested Problems

More from this Author45

Problem Tags

juggler numbers sequence

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Go to top of page