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Search: id:A159199
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| A159199 |
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a(n) = k if the first occurrence of the digits of n is at the k-th place in n^(1/n) |
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1
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| 1, 5, 11, 2, 39, 7, 10, 5, 13, 18, 27, 1, 265, 145, 108, 102, 102, 5, 79, 69, 37, 87, 12, 18, 148, 152, 206, 51, 56, 27, 308, 89, 95, 181, 178, 62, 114, 245, 281, 38, 111, 39, 286, 102, 125, 224, 244, 26, 87, 117, 67, 78, 147, 284, 4, 61, 21, 83, 28, 147, 83, 141, 44
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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When a(n) = 1: 1, 12, 104, 1006, 10009, ..., . When a(n) = n: 1, 99, 653, ..., . Records by index: 1, 2, 3, 5, 13, 31, 64, 70, 100, 128, 141, 299, 851, 1000, 1003, 1012, 1021, 1523, 6182, 10002, 10003, 10020, ..., . [From Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 08 2009]
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LINKS
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Robert G. Wilson v, Table of n, a(n) for n = 1..10000
Jean-Marc Falcoz, April 2009, Table of n, a(n) for n=2..10000 .
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EXAMPLE
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Example 18^(1/18) = 1.174187253... and 18 appears in the digits of this number for the first time at the fifth place -> a(18)=5
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MATHEMATICA
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f[n_] := StringPosition[ ToString@ FromDigits@ RealDigits[n^(1/n), 10, 10000][[1]], ToString@n][[1, 1]]; Array[f, 70] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 07 2009]
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CROSSREFS
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Sequence in context: A160366 A160923 A111118 this_sequence A125683 A125685 A098147
Adjacent sequences: A159196 A159197 A159198 this_sequence A159200 A159201 A159202
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KEYWORD
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nonn
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AUTHOR
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Jean-Marc Falcoz (jeanmarcfalcoz(AT)vtxnet.ch), Apr 06 2009
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EXTENSIONS
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I changed the first comment line to an example line and changed the second comment line to a hyperlink line Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 07 2009
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 07 2009
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