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A153708
Greatest number m such that the fractional part of e^A153704(n) >= 1-(1/m).
7
3, 23, 27, 261, 348, 2720, 72944, 347065, 244543
OFFSET
1,1
FORMULA
a(n) = floor(1/(1-fract(e^A153704(n)))), where fract(x) = x-floor(x).
EXAMPLE
a(2) = 23, since 1-(1/24) = 0.9583... > fract(e^A153704(2)) = fract(e^8) = 0.95798... >= 0.95652... >= 1-(1/23).
MATHEMATICA
A153704 = {1, 8, 19, 178, 209, 1907, 32653, 119136, 220010};
Table[fp = FractionalPart[E^A153704[[n]]]; m = Floor[1/fp];
While[fp >= 1 - (1/m), m++]; m - 1, {n, 1, Length[A153704]}] (* Robert Price, May 10 2019 *)
KEYWORD
nonn,more
AUTHOR
Hieronymus Fischer, Jan 06 2009
EXTENSIONS
a(8)-a(9) from Robert Price, May 10 2019
STATUS
approved