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 A153672 Numbers k such that the fractional part of (101/100)^k is greater than 1-(1/k). 14
 1, 69, 180, 783, 859, 1803, 10763, 19105, 39568, 50172, 132572, 355146, 1452050, 2245950, 3047334, 3933030, 4165171, 98544173 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that fract((101/100)^k) > 1-(1/k), where fract(x) = x-floor(x). The next term is greater than 2*10^8. LINKS EXAMPLE a(2) = 69, since fract((101/100)^69) = 0.9868... > 0.9855... = 1 - (1/69), but fract((101/100)^k) <= 1 - (1/k) for 1 < k < 69. MATHEMATICA Select[Range[1000], FractionalPart[(101/100)^#] >= 1 - (1/#) &] (* G. C. Greubel, Aug 24 2016 *) CROSSREFS Cf. A153664, A154130, A153676, A153680, A153688, A153696, A153704, A153712, A153720. Sequence in context: A020296 A259637 A211688 * A283053 A249899 A009434 Adjacent sequences:  A153669 A153670 A153671 * A153673 A153674 A153675 KEYWORD nonn,more AUTHOR Hieronymus Fischer, Jan 06 2009 EXTENSIONS a(13)-a(18) from Robert Gerbicz, Nov 22 2010 STATUS approved

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Last modified May 21 15:32 EDT 2019. Contains 323444 sequences. (Running on oeis4.)