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A153694 Numbers k such that the fractional part of (10/9)^k is less than 1/k. 10
1, 2, 7, 62, 324, 1647, 3566, 5464, 8655, 8817, 123956, 132891, 182098 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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

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

EXAMPLE

a(3)=7 since fract((10/9)^7)=0.09075...<1/7, but fract((10/9)^k)>=1/k for 3<=k<=6.

CROSSREFS

Cf. A153662, A153670, A153678, A153686, A153698, A154130, A153702, A153710, A153718.

Sequence in context: A102896 A088107 A132524 * A100523 A181030 A006506

Adjacent sequences:  A153691 A153692 A153693 * A153695 A153696 A153697

KEYWORD

nonn,more

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.