A084364 - OEIS

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A084364

Define the operations M: multiply by 11, D: divide by 11, R: reverse digits. Sequence gives trajectory of 19 under action of M,R,D,R.

19, 28, 37, 46, 55, 64, 73, 82, 91, 19, 28, 37, 46, 55, 64, 73, 82, 91, 19, 28, 37, 46, 55, 64, 73, 82, 91, 19, 28, 37, 46, 55, 64, 73, 82, 91, 19, 28, 37, 46, 55, 64, 73, 82, 91, 19, 28, 37, 46, 55, 64, 73, 82, 91, 19, 28, 37, 46, 55, 64, 73, 82, 91, 19, 28, 37, 46, 55, 64

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OFFSET

0,1

COMMENTS

Every such sequence is periodic. Sequences for a(1) = 1 to 18 are cyclic with a period of 1.

LINKS

Table of n, a(n) for n=0..68.

EXAMPLE

19 -> 209 -> 902 -> 82 -> 28.

MATHEMATICA

mrdr[n_]:=FromDigits[Reverse[IntegerDigits[FromDigits[ Reverse[ IntegerDigits[ 11n]]]/ 11]]]; NestList[mrdr, 19, 70] (* Harvey P. Dale, Oct 01 2015 *)

CROSSREFS

Sequence in context: A091448 A067777 A065207 * A094677 A052224 A179955

Adjacent sequences: A084361 A084362 A084363 * A084365 A084366 A084367

KEYWORD

base,easy,nonn

AUTHOR

Amarnath Murthy, May 27 2003

EXTENSIONS

Edited by Patrick De Geest and N. J. A. Sloane, Jun 03 2003

STATUS

approved