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Search: id:A105430
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| A105430 |
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Numbers n such that reciprocal of n contains the reverse of n as a string of digits to the immediate right of the decimal point (excluding leading zeros). |
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+0 1
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| 3, 61, 175, 571, 2414, 4142, 9011, 359772, 86249511, 535238681, 124396878308, 803878693421, 6126660122361, 13506262793047, 74039726260531, 76729882123723031, 655537561065645251, 882122044899263311
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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n for which 10^(2k-1)-n < n*reverse(n) <= 10^(2k-1), where k is the length of n. - Max Alekseyev (maxale(AT)gmail.com), Apr 11 2005
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EXAMPLE
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a(3)=175 because 1/175 = 0.005714285...
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MATHEMATICA
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fQ[n_] := Block[{lg = Floor[ Log[10, n] + 1]}, IntegerDigits[n] == Reverse[ Take[ RealDigits[1/n, 10, 24][[1]], lg]]]; lst = {}; Do[ If[ fQ[n], AppendTo[lst, n]], {n, 2, 10^7}]; lst (from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 09 2005)
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CROSSREFS
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Cf. A074841, A105429.
Sequence in context: A128075 A106883 A037209 this_sequence A141979 A102720 A120308
Adjacent sequences: A105427 A105428 A105429 this_sequence A105431 A105432 A105433
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KEYWORD
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nonn,base
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AUTHOR
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Gil Broussar (kikiriki(AT)mindspring.com), Apr 08 2005
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EXTENSIONS
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More terms from Max Alekseyev (maxale(AT)gmail.com), Apr 11 2005
Further terms from Max Alekseyev (maxale(AT)gmail.com), Apr 29 2005
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