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

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

Offset: 1

Author

Hieronymus Fischer, Jan 06 2009

Keywords

• nonn
• more

Examples

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

Crossrefs

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

Cf. A000149.

Programs

Mathematica

$MaxExtraPrecision = 100000;
A091560 = {1,8,19,76,166,178,209,1907,20926,22925,32653,119136};
Floor[1/(1-FractionalPart[E^A091560])] (* Robert Price, Apr 18 2019 *)

Formula

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

Extensions

a(12) from Robert Price, Apr 18 2019