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 A153704 Numbers k such that the fractional part of e^k is greater than 1-(1/k). 10
 1, 8, 19, 178, 209, 1907, 32653, 119136, 220010 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that fract(e^k) > 1-(1/k), where fract(x) = x-floor(x). The next such number must be greater than 100000. a(10) > 300,000. Robert Price, Mar 23 2019 LINKS EXAMPLE a(2)=8, since fract(e^8) = 0.957987... >0.875 = 1-(1/8), but fract(e^k) = 0.389..., 0.085..., 0.598..., 0.413..., 0.428..., 0.633... for 2<=k<=7 which all are less than 1-(1/k). MATHEMATICA Select[Range[2000], N[FractionalPart[E^#], 1000] >= 1 - (1/#) &] (* G. C. Greubel, Aug 25 2016 *) CROSSREFS Cf. A153664, A153672, A153680, A153688, A153696, A153708, A154130, A153712, A153720. Cf. A000149. Sequence in context: A242188 A119284 A177124 * A344052 A316201 A029845 Adjacent sequences:  A153701 A153702 A153703 * A153705 A153706 A153707 KEYWORD nonn,more AUTHOR Hieronymus Fischer, Jan 06 2009 EXTENSIONS a(8)-a(9) from Robert Price, Mar 23 2019 STATUS approved

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Last modified June 22 16:35 EDT 2021. Contains 345388 sequences. (Running on oeis4.)