A094716 Largest value in trajectory of n under the juggler map of A094683.

0, 1, 2, 36, 4, 36, 6, 18, 8, 140, 36, 36, 36, 46, 36, 58, 16, 70, 18, 140, 20, 140, 22, 110, 24, 52214, 36, 140, 36, 156, 36, 172, 36, 2598, 36, 2978, 36, 24906114455136, 38, 233046, 40, 262, 42, 4710, 44, 5222, 46, 322, 48, 6352, 50, 364, 52, 7554, 54, 8210, 56, 430, 58, 946636

Offset: 0

Author

N. J. A. Sloane, Jun 10 2004

Keywords

• nonn
• easy

Comments

Harry J. Smith found that the highest value in the trajectory of 30817 is a number with 45391 digits and the highest value in the trajectory of 48443 is a number with 972463 digits. - Jason Earls, Jun 10 2004

Links

• Hans Havermann, Table of n, a(n) for n = 0..2188 (shortened by _N. J. A. Sloane_, Jan 13 2019)
• Harry J. Smith, Juggler Numbers

Programs

Mathematica

smx={};Do[a=n;mx=n;While[a!=1,a=If[Mod[a,2]==0,Floor[Sqrt[a]],Floor[a^(3/2)]];If[a>mx,mx=a]];AppendTo[smx,mx],{n,59}];Join[{0},smx] (* James C. McMahon, Apr 15 2025 *)

Extensions

More terms from Jason Earls, Jun 10 2004

a(37) corrected by Labos Elemer, Jun 19 2004

a(49) corrected by Hans Havermann, Dec 07 2017