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%I #12 Aug 24 2016 12:28:46
%S 1,2,4,7,3328,3329,4097,12429,12430,12431,18587,44257,112896,129638,
%T 4264691,144941960,144941961,144941962
%N Numbers k such that the fractional part of (3/2)^k is less than 1/k.
%C Numbers k such that fract((3/2)^k) < 1/k, where fract(x) = x-floor(x).
%C The next term is greater than 3*10^8.
%e a(4) = 7 since fract((3/2)^7) = 0.0859375 < 1/7, but fract((3/2)^5) = 0.59375 >= 1/5 and fract((3/2)^6) = 0.390625 >= 1/6.
%t Select[Range[1000], FractionalPart[(3/2)^#] < (1/#) &] (* _G. C. Greubel_, Aug 24 2016 *)
%Y Cf. A002379, A081464, A153663, A153664, A153665, A153666, A153667, A153668.
%K nonn,more
%O 1,2
%A _Hieronymus Fischer_, Dec 31 2008
%E a(15)-a(18) from _Robert Gerbicz_, Nov 21 2010
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