A171813 Trajectory of 1 under repeated applications of the map i -> A171798(i).

1, 101, 734, 1037, 1174, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165, 1165

Offset: 1

Author

N. J. A. Sloane, Oct 15 2010, Oct 16 2010

Keywords

• nonn
• base

Comments

Start with n, repeatedly apply the map i -> A171798(i). Then every n converges to one of 1019, 1147, 1165 or 14311. Proof: this is true by direct calculation for n=1..2^14. For larger n, A171798(n) < n.

Crossrefs

Cf. A171798.

Programs

Mathematica

ans[n_]:=Module[{idn2=IntegerDigits[n,2]},FromDigits[{Length[ idn2], Count[ idn2,0], Count[ idn2,1]}]]; NestList[ans,1,40] (* Harvey P. Dale, Mar 30 2016 *)