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Greatest number m such that the fractional part of (10/9)^A153695(m) >= 1-(1/m).
4

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

%S 1,1,1,2,3,8,15,264,334,465,683,713,758,8741,15912,18920,38560,409895

%N Greatest number m such that the fractional part of (10/9)^A153695(m) >= 1-(1/m).

%F a(n):=floor(1/(1-fract((10/9)^A153695(n)))), where fract(x) = x-floor(x).

%e a(7)=15, since 1-(1/16)=0.9375>fract((10/9)^A153695(7))=fract((10/9)^13)=0.9341...>=1-(1/15).

%Y Cf. A153663, A153671, A153679, A153687, A153695, A154130, A153707, A153715, A153723.

%K nonn,more

%O 1,4

%A _Hieronymus Fischer_, Jan 06 2009