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A153707 Greatest number m such that the fractional part of e^A091560(m) >= 1-(1/m). 8

%I #11 Apr 18 2019 11:41:52

%S 3,23,27,41,59,261,348,2720,3198,6064,72944,347065

%N Greatest number m such that the fractional part of e^A091560(m) >= 1-(1/m).

%F a(n):=floor(1/(1-fract(e^A091560(n)))), where fract(x) = x-floor(x).

%e a(2)=23, since 1-(1/24) = 0.9583...> fract(e^A091560(2)) = fract(e^8) = 0.95798.. >= 0.95652... >= 1-(1/23).

%t $MaxExtraPrecision = 100000;

%t A091560 = {1,8,19,76,166,178,209,1907,20926,22925,32653,119136};

%t Floor[1/(1-FractionalPart[E^A091560])] (* _Robert Price_, Apr 18 2019 *)

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

%Y Cf. A000149.

%K nonn,more

%O 1,1

%A _Hieronymus Fischer_, Jan 06 2009

%E a(12) from _Robert Price_, Apr 18 2019

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