A094725 Largest value in trajectory of n under the modified juggler map of A094685.

0, 1, 2, 36, 4, 36, 6, 756, 36, 140, 36, 36, 36, 322, 14, 58, 16, 70, 18, 756, 20, 96, 36, 110, 36, 196070, 36, 140, 36, 156, 36, 213705634112, 32, 190, 34, 2978, 36, 196070, 38, 244, 40, 278534, 42, 282, 756, 302, 756, 322, 756, 6352, 756, 756, 756, 386, 756

Offset: 0

Author

N. J. A. Sloane, Jun 10 2004

Keywords

• nonn
• easy

Comments

a(549) has 1519 digits and a(5807) has 6022 digits. - Chai Wah Wu, Aug 18 2016

a(10327) has 7508 digits. - Vikram Prasad, Mar 02 2024

Links

• Chai Wah Wu, Table of n, a(n) for n = 0..548

Crossrefs

Cf. A094685.

Programs

Mathematica

smx={};Do[a=n;mx=n;While[a!=1,a=If[Mod[a,2]==0,Round[Sqrt[a]],Round[a^(3/2)]];If[a>mx,mx=a]];AppendTo[smx,mx],{n,54}];Join[{0},smx] (* James C. McMahon, Apr 15 2025 *)

Extensions

More terms from John W. Layman, Jun 15 2004