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A153670 Numbers k such that the fractional part of (101/100)^k is less than 1/k. +0
15
1, 2, 3, 4, 5, 6, 7, 8, 9, 70, 209, 241, 378, 2697, 4806, 173389, 529938 (list; graph; listen)
OFFSET

1,2

COMMENT

Numbers k such that fract((101/100)^k) < 1/k, where fract(x) = x-floor(x).

The next such number must be greater than 10^6.

EXAMPLE

a(10)=70 since fract((101/100)^70)=0.006...<1/10, but fract((101/100)^k)>0.1>=1/k for 10<=k<=69.

CROSSREFS

Cf. A153662, A154130, A153674, A153678, A153686, A153694, A153702, A153710, A153718.

Sequence in context: A024661 A004860 A024662 this_sequence A024663 A038178 A023106

Adjacent sequences: A153667 A153668 A153669 this_sequence A153671 A153672 A153673

KEYWORD

nonn,more

AUTHOR

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

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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