A153705 - OEIS

%I #14 Mar 26 2019 11:46:59

%S 1,2,11,11,23,28,69,85,115,964,1153,1292,1296,1877,34015,156075,952945

%N Greatest number m such that the fractional part of e^A153701(n) <= 1/m.

%F a(n) = floor(1/fract(e^A153701(n))), where fract(x) = x-floor(x).

%e a(3)=11 since 1/12 < fract(e^A153701(3)) = fract(e^3) = 0.0855... <= 1/11.

%t A153701 = {1, 2, 3, 9, 29, 45, 75, 135, 219, 732, 1351, 3315, 4795,

%t    4920, 5469, 28414, 37373};

%t Table[fp = FractionalPart[E^A153701[[n]]]; m = Floor[1/fp];

%t While[fp <= 1/m, m++]; m - 1, {n, 1, Length[A153701]}] (* _Robert Price_, Mar 25 2019 *)

%Y Cf. A081464, A153669, A153677, A153685, A153693, A153701, A154130, A153713, A153721.

%Y Cf. A000149.

%K nonn,more

%O 1,2

%A _Hieronymus Fischer_, Jan 06 2009