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

1,1

Links

Table of n, a(n) for n=1..12.

Formula

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

Example

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

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 *)

Crossrefs

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

Cf. A000149.

Sequence in context: A124076 A153834 A323010 * A232327 A153708 A109218

Adjacent sequences: A153704 A153705 A153706 * A153708 A153709 A153710

Keyword

nonn,more

Author

Hieronymus Fischer, Jan 06 2009

Extensions

a(12) from Robert Price, Apr 18 2019

Status

approved