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Search: id:A084364
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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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+0
2
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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; listen)
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OFFSET
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0,1
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COMMENT
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Every such sequence is periodic. Sequences for a(1) = 1 to 18 are cyclic with a period of 1.
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FORMULA
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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 (ppl(AT)spl.at), Jun 08 2007
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EXAMPLE
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19 -> 209 -> 902 -> 82 -> 28.
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CROSSREFS
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Sequence in context: A091448 A067777 A065207 this_sequence A094677 A052224 A083678
Adjacent sequences: A084361 A084362 A084363 this_sequence A084365 A084366 A084367
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 27 2003
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EXTENSIONS
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Edited by Patrick De Geest (pdg(AT)worldofnumbers.com) and njas, Jun 03 2003.
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