A153672 Numbers k such that the fractional part of (101/100)^k is greater than 1-(1/k).

1, 69, 180, 783, 859, 1803, 10763, 19105, 39568, 50172, 132572, 355146, 1452050, 2245950, 3047334, 3933030, 4165171, 98544173

Offset

1,2

Comments

Numbers k such that fract((101/100)^k) > 1-(1/k), where fract(x) = x-floor(x).

The next term is greater than 2*10^8.

Links

Table of n, a(n) for n=1..18.

Example

a(2) = 69, since fract((101/100)^69) = 0.9868... > 0.9855... = 1 - (1/69), but fract((101/100)^k) <= 1 - (1/k) for 1 < k < 69.

Mathematica

Select[Range[1000], FractionalPart[(101/100)^#] >= 1 - (1/#) &] (* G. C. Greubel, Aug 24 2016 *)

Crossrefs

Cf. A153664, A154130, A153676, A153680, A153688, A153696, A153704, A153712, A153720.

Sequence in context: A020296 A259637 A211688 * A283053 A249899 A009434

Adjacent sequences: A153669 A153670 A153671 * A153673 A153674 A153675

Keyword

nonn,more

Author

Hieronymus Fischer, Jan 06 2009

Extensions

a(13)-a(18) from Robert Gerbicz, Nov 22 2010

Status

approved