A153696 - OEIS

A153696

Numbers k such that the fractional part of (10/9)^k is greater than 1-(1/k).

1, 6, 13, 17, 5513, 12746, 126237, 430116, 477190, 1295623, 1319307, 3596185, 6109350

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OFFSET

1,2

COMMENTS

Numbers k such that fract((10/9)^k) > 1-(1/k), where fract(x) = x-floor(x).

The next such number must be greater than 2*10^5.

a(14) > 10^7. - Robert Price, Mar 24 2019

LINKS

EXAMPLE

a(3) = 13, since fract((10/9)^13) = 0.9341... > 0.923... = 1 - (1/13), but fract((10/9)^k) <= 1 - (1/k) for 1 < k < 13.

MATHEMATICA

Select[Range[1000], FractionalPart[(10/9)^#] >= 1 - (1/#) &] (* G. C. Greubel, Aug 24 2016 *)

CROSSREFS

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

a(8)-a(13) from Hans Havermann, Apr 04 2016

STATUS

approved