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A084364
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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.
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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; internal format)
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OFFSET
| 0,1
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COMMENTS
| Every such sequence is periodic. Sequences for a(1) = 1 to 18 are cyclic with a period of 1.
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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 (paoloplava(AT)gmail.com), Jun 08 2007
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EXAMPLE
| 19 -> 209 -> 902 -> 82 -> 28.
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CROSSREFS
| Sequence in context: A091448 A067777 A065207 * A094677 A052224 A179955
Adjacent sequences: A084361 A084362 A084363 * A084365 A084366 A084367
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KEYWORD
| base,easy,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 27 2003
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EXTENSIONS
| Edited by Patrick De Geest (pdg(AT)worldofnumbers.com) and N. J. A. Sloane (njas(AT)research.att.com), Jun 03 2003.
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