A153707 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

a(12) from Robert Price, Apr 18 2019

STATUS

approved