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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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.

FORMULA

a(n)=(19/36)*{343/19*[n mod 9]+[(n+1) mod 9]+[(n+2) mod 9]+[(n+3) mod 9]+[(n+4) mod 9]+[(n+5) mod 9]+[(n+6) mod 9]+[(n+7) mod 9]+[(n+8) mod 9]}, with n>=0 - Paolo P. Lava, Jun 08 2007

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

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Last modified June 18 03:46 EDT 2021. Contains 345098 sequences. (Running on oeis4.)