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A153678 Numbers k such that the fractional part of (1024/1000)^k is less than 1/k. +0
13
1, 2, 3, 4, 5, 6, 585, 1164, 1707 (list; graph; listen)
OFFSET

1,2

COMMENT

Numbers k such that fract((1024/1000)^k) < 1/k, where fract(x) = x-floor(x).

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

EXAMPLE

a(7)=585 since fract((1024/1000)^585)=0.00139...<1/585, but fract((1024/1000)^k)>=1/k for 7<=k<=584.

CROSSREFS

Cf. A153662, A153670, A153682, A154130, A153686, A153694, A153702, A153710, A153718.

Sequence in context: A004879 A062943 A004890 this_sequence A004901 A004912 A164699

Adjacent sequences: A153675 A153676 A153677 this_sequence A153679 A153680 A153681

KEYWORD

nonn,more

AUTHOR

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

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Last modified December 1 13:27 EST 2009. Contains 167806 sequences.


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