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A153670 Numbers k such that the fractional part of (101/100)^k is less than 1/k. 14
1, 2, 3, 4, 5, 6, 7, 8, 9, 70, 209, 241, 378, 2697, 4806, 173389, 529938, 1334508, 1572706, 7840546, 15896994, 20204295, 71074288, 119325567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numbers k such that fract((101/100)^k) < 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..24.

EXAMPLE

a(10) = 70 since fract((101/100)^70) = 0.006... < 1/10, but fract((101/100)^k) > 0.1 >= 1/k for 10 <= k <= 69.

MATHEMATICA

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

CROSSREFS

Cf. A153662, A154130, A153674, A153678, A153686, A153694, A153702, A153710, A153718.

Sequence in context: A004860 A302499 A024662 * A229184 A302173 A024663

Adjacent sequences:  A153667 A153668 A153669 * A153671 A153672 A153673

KEYWORD

nonn,more

AUTHOR

Hieronymus Fischer, Jan 06 2009

EXTENSIONS

a(18)-a(24) from Robert Gerbicz, Nov 29 2010

STATUS

approved

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Last modified October 21 11:05 EDT 2019. Contains 328294 sequences. (Running on oeis4.)