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A154133 Numbers k such that the fractional part of (4/3)^k is greater than 1-(1/k). 1
1, 2, 8, 39, 113, 3895, 4714, 8592, 34289, 60097, 942859, 2759790, 6649343, 7937397, 14480816, 19338413, 19338414, 19338415, 23187701, 124679421 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers k such that fract((4/3)^k) > 1-(1/k), where fract(x) = x-floor(x).

The next term is greater than 3*10^8.

EXAMPLE

a(4)=39, since fract((4/3)^39)=0.9991861450...>0.974358...=1-(1/39), but fract((4/3)^k)<=1-(1/k) for 8<k<39.

CROSSREFS

Cf. A153664, A153672, A153704, A153711, A154141, A154149.

Cf. A002379, A064628.

Sequence in context: A101714 A077318 A082014 * A077324 A112737 A206901

Adjacent sequences:  A154130 A154131 A154132 * A154134 A154135 A154136

KEYWORD

nonn,more

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 11 2009

EXTENSIONS

a(11)-a(20) from Robert Gerbicz (robert.gerbicz(AT)gmail.com), Nov 21 2010

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Last modified February 15 05:29 EST 2012. Contains 205694 sequences.