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A153686 Numbers k such that the fractional part of (11/10)^k is less than 1/k. 11
1, 2, 3, 17, 37, 48, 237, 420, 599, 615, 6638, 13885, 13886, 62963 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers k such that fract((11/10)^k) < 1/k, where fract(x) = x-floor(x).

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

EXAMPLE

a(4)=17 since fract((11/10)^17)=0.05447...<1/17, but fract((11/10)^k)>=1/k for 4<=k<=16.

CROSSREFS

Cf. A153662, A153670, A153682, A153678, A154130, A153694, A153702, A153710, A153718.

Sequence in context: A084445 A193051 A029733 * A042137 A067976 A154316

Adjacent sequences:  A153683 A153684 A153685 * A153687 A153688 A153689

KEYWORD

nonn,more

AUTHOR

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

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Last modified February 17 23:08 EST 2012. Contains 206085 sequences.