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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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1
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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
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OFFSET
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0,1
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COMMENTS
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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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LINKS
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EXAMPLE
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19 -> 209 -> 902 -> 82 -> 28.
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MATHEMATICA
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mrdr[n_]:=FromDigits[Reverse[IntegerDigits[FromDigits[ Reverse[ IntegerDigits[ 11n]]]/ 11]]]; NestList[mrdr, 19, 70] (* Harvey P. Dale, Oct 01 2015 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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