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A171813 Trajectory of 1 under repeated applications of the map i -> A171798(i). 5
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 (list; graph; refs; listen; history; text; internal format)
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: A131697 A153806 A227521 * 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

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Last modified December 13 17:09 EST 2019. Contains 329970 sequences. (Running on oeis4.)