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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; text; 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.

LINKS

Table of n, a(n) for n=1..20.

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.

MATHEMATICA

Select[Range[5000], N[FractionalPart[(4/3)^#], 100] > 1 - (1/#) &] (* G. C. Greubel, Sep 02 2016 *)

PROG

(PARI) isok(n) = frac((4/3)^n) > 1 - 1/n; \\ Michel Marcus, Sep 03 2016

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, Jan 11 2009

EXTENSIONS

a(11)-a(20) from Robert Gerbicz, Nov 21 2010

STATUS

approved

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Last modified September 29 14:20 EDT 2022. Contains 357090 sequences. (Running on oeis4.)