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

Offset: 0

Author

Amarnath Murthy, May 27 2003

Keywords

• base
• easy
• nonn

Comments

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

Examples

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

Programs

Mathematica

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

Extensions

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