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Search: id:A134468
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| A134468 |
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Numbers n such that 2^n and 3^n have the same leading digit. |
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+0
1
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| 0, 17, 28, 34, 40, 51, 57, 68, 80, 84, 85, 91, 97, 103, 107, 108, 114, 120, 125, 130, 142, 143, 147, 154, 159, 170, 176, 182, 187, 193, 199, 204, 206, 210, 216, 227, 233, 244, 250, 256, 260, 261, 267, 273, 278, 283, 284, 296, 301, 307, 318, 319, 323, 324, 330
(list; graph; listen)
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OFFSET
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1,2
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MAPLE
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A000030 := proc(n) op(-1, convert(n, base, 10)) ; end: isA134468 := proc(n) if A000030(2^n) = A000030(3^n) then true ; else false; fi ; end: for n from 0 to 800 do if isA134468(n) then printf("%d, ", n) ; fi ; od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 30 2008
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MATHEMATICA
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Select[Range[0, 500], IntegerDigits[2^# ][[1]] == IntegerDigits[3^# ][[1]] &] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jan 21 2008
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CROSSREFS
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Cf. A008952, A060956.
Sequence in context: A146776 A147218 A146856 this_sequence A032611 A081985 A087937
Adjacent sequences: A134465 A134466 A134467 this_sequence A134469 A134470 A134471
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Jan 20 2008
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jan 21 2008
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 30 2008
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