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 A154131 Numbers n such that the fractional part of (4/3)^n is less than 1/n. 1
 1, 4, 17, 1738, 1739, 12863, 15705, 109705, 174894, 289047, 720429, 2087694, 2087695, 4475944, 6968999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers n such that fract((4/3)^n) < 1/n, where fract(x) = x - floor(x). The next term is greater than 3*10^8. LINKS EXAMPLE a(3)=17 since fract((4/3)^17) = 0.03273... < 1/17, but fract((4/3)^k) >= 1/k for 5 <= k <= 16. MATHEMATICA Select[Range[1000], N[FractionalPart[(4/3)^#], 100] < (1/#) &] (* G. C. Greubel, Sep 02 2016 *) PROG (PARI) isok(n) = frac((4/3)^n) < 1/n; \\ Michel Marcus, Sep 03 2016 CROSSREFS Cf. A153662, A153670, A153702, A137994, A154139, A154147. Cf. A002379, A064628. Sequence in context: A337477 A041701 A347721 * A132554 A077275 A059903 Adjacent sequences: A154128 A154129 A154130 * A154132 A154133 A154134 KEYWORD nonn,more AUTHOR Hieronymus Fischer, Jan 11 2009 EXTENSIONS a(10)-a(15) from Robert Gerbicz, Nov 21 2010 STATUS approved

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Last modified December 10 02:09 EST 2022. Contains 358712 sequences. (Running on oeis4.)