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

1,2

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.

Links

Table of n, a(n) for n=1..40.

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 *)

Crossrefs

Cf. A171798.

Sequence in context: A153806 A227521 A364147 * A089291 A167842 A244369

Adjacent sequences: A171810 A171811 A171812 * A171814 A171815 A171816

Keyword

nonn,base

Author

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

Status

approved