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A153688
Numbers k such that the fractional part of (11/10)^k is greater than 1-(1/k).
11
1, 7, 77, 103, 320, 1821, 2992, 15290, 88651, 88652, 180168, 410498, 548816, 672732
OFFSET
1,2
COMMENTS
Numbers k such that fract((11/10)^k) > 1-(1/k), where fract(x) = x-floor(x).
The next such number must be greater than 2*10^5.
a(15) > 10^7. Robert Price, Mar 19 2019
EXAMPLE
a(2) = 7, since fract((11/10)^7) = 0.9487... > 0.8571... = 1 - (1/7), but fract((11/10)^k) <= 1 - (1/k) for 1 < k < 7.
MATHEMATICA
Select[Range[1000], FractionalPart[(11/10)^#] >= 1 - (1/#) &] (* G. C. Greubel, Aug 24 2016 *)
KEYWORD
nonn,more
AUTHOR
Hieronymus Fischer, Jan 06 2009
EXTENSIONS
a(12)-a(14) from Robert Price, Mar 19 2019
STATUS
approved