This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A153702 #16 Mar 03 2020 06:57:01 %S A153702 1,2,3,9,732,5469,28414,37373,93638,136986,192897 %N A153702 Numbers k such that the fractional part of e^k is less than 1/k. %C A153702 Numbers k such that fract(e^k) < 1/k, where fract(x) = x-floor(x). %C A153702 The next such number must be greater than 100000. %C A153702 a(12) > 300000. - _Robert Price_, Mar 23 2019 %e A153702 a(4) = 9 since fract(e^9) = 0.08392... < 1/9, but fract(e^k) = 0.598..., 0.413..., 0.428..., 0.633..., 0.957... for 4 <= k <= 8, which are all greater than 1/k. %t A153702 Select[Range[1000], FractionalPart[E^#] < (1/#) &] (* _G. C. Greubel_, Aug 24 2016 *) %Y A153702 Cf. A153662, A153670, A153678, A153686, A153694, A153706, A154130, A153710, A153718. %Y A153702 Cf. A000149. %K A153702 nonn,more %O A153702 1,2 %A A153702 _Hieronymus Fischer_, Jan 06 2009 %E A153702 a(10)-a(11) from _Robert Price_, Mar 23 2019