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 A153670 Numbers k such that the fractional part of (101/100)^k is less than 1/k. 14
 1, 2, 3, 4, 5, 6, 7, 8, 9, 70, 209, 241, 378, 2697, 4806, 173389, 529938, 1334508, 1572706, 7840546, 15896994, 20204295, 71074288, 119325567 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that fract((101/100)^k) < 1/k, where fract(x) = x-floor(x). The next term is greater than 2*10^8. LINKS EXAMPLE a(10) = 70 since fract((101/100)^70) = 0.006... < 1/10, but fract((101/100)^k) > 0.1 >= 1/k for 10 <= k <= 69. MATHEMATICA Select[Range[1000], FractionalPart[(101/100)^#] < (1/#) &] (* G. C. Greubel, Aug 24 2016 *) CROSSREFS Cf. A153662, A154130, A153674, A153678, A153686, A153694, A153702, A153710, A153718. Sequence in context: A004860 A302499 A024662 * A229184 A331203 A302173 Adjacent sequences:  A153667 A153668 A153669 * A153671 A153672 A153673 KEYWORD nonn,more AUTHOR Hieronymus Fischer, Jan 06 2009 EXTENSIONS a(18)-a(24) from Robert Gerbicz, Nov 29 2010 STATUS approved

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Last modified July 28 08:44 EDT 2021. Contains 346321 sequences. (Running on oeis4.)