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Greatest number m such that the fractional part of (4/3)^A154132(m) >= 1-(1/m).
0

%I #2 Mar 31 2012 13:21:05

%S 1,4,88,1228,2253,4562,8183,167378

%N Greatest number m such that the fractional part of (4/3)^A154132(m) >= 1-(1/m).

%F a(n):=floor(1/(1-fract((4/3)^A154132(n)))), where fract(x) = x-floor(x).

%e a(3)=88, since 1-(1/89)=0.988764...>fract((4/3)^A154132(3))=fract((4/3)^8)=0.988721...>0.988636...=1-(1/88).

%Y Cf. A153667, A153675, A153707, A153715, A154144, A154152.

%Y Cf. A002379, A064628.

%K nonn,more

%O 1,2

%A _Hieronymus Fischer_, Jan 11 2009