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 A154132 #7 Jul 15 2013 11:08:38
%S A154132 1,2,8,39,2495,3895,4714,8592
%N A154132 Minimal exponents m such that the fractional part of (4/3)^m increases monotonically (when starting with m=1).
%C A154132 Recursive definition: a(1)=1, a(n) = least number m>a(n-1) such that the fractional part of (4/3)^m is greater than the fractional part of (4/3)^k for all k, 1<=k<m.
%C A154132 The next such number must be greater than 200000.
%F A154132 Recursion: a(1):=1, a(k):=min{ m>1 | fract((4/3)^m) > fract((4/3)^a(k-1))}, where fract(x) = x-floor(x).
%e A154132 a(4)=39, since fract((4/3)^39)= 0.999186..., but fract((4/3)^k)<0.9887... for 1<=k<=38; thus fract((4/3)^39)>fract((4/3)^k) for 1<=k<39 and 39 is the minimal exponent > 8 with this property.
%Y A154132 Cf. A153663, A153671, A091560, A153710, A154140, A154148.
%Y A154132 Cf. A002379, A064628.
%K A154132 nonn,more
%O A154132 1,2
%A A154132 _Hieronymus Fischer_, Jan 11 2009