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%I #9 Mar 19 2019 11:27:44
%S 1,7,77,103,320,1821,2992,15290,88651,88652,180168,410498,548816,
%T 672732
%N Numbers k such that the fractional part of (11/10)^k is greater than 1-(1/k).
%C Numbers k such that fract((11/10)^k) > 1-(1/k), where fract(x) = x-floor(x).
%C The next such number must be greater than 2*10^5.
%C a(15) > 10^7. _Robert Price_, Mar 19 2019
%e a(2) = 7, since fract((11/10)^7) = 0.9487... > 0.8571... = 1 - (1/7), but fract((11/10)^k) <= 1 - (1/k) for 1 < k < 7.
%t Select[Range[1000], FractionalPart[(11/10)^#] >= 1 - (1/#) &] (* _G. C. Greubel_, Aug 24 2016 *)
%Y Cf. A153664, A153672, A153684, A153692, A154130, A153696, A153704, A153712, A153720.
%K nonn,more
%O 1,2
%A _Hieronymus Fischer_, Jan 06 2009
%E a(12)-a(14) from _Robert Price_, Mar 19 2019
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