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 A153718 Numbers k such that the fractional part of (Pi-2)^k is less than 1/k. 7
 1, 2, 23, 24, 35, 41, 65, 182, 72506, 107346 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that fract((Pi-2)^k) < 1/k, where fract(x) = x-floor(x). The next such number must be greater than 200000. a(11) > 10^6. - Jon E. Schoenfield, Nov 15 2014 LINKS EXAMPLE a(3)=23 since fract((Pi-2)^23) = 0.0260069... < 1/23, but fract((Pi-2)^k) >= 1/k for 3 <= k <= 22. MATHEMATICA Select[Range[1000], N[FractionalPart[(Pi - 2)^#], 100] < (1/#) &] (* G. C. Greubel, Aug 25 2016 *) PROG (PARI) lista(nn) = for (n=1, nn, default(realprecision, n); if (frac((Pi-2)^n) < 1/n, print1(n, ", "))); \\ Michel Marcus, Nov 16 2014 CROSSREFS Cf. A153662, A153670, A153678, A153686, A153694, A153702, A153710, A153722, A154130. Sequence in context: A233692 A084323 A131983 * A105813 A086557 A042797 Adjacent sequences:  A153715 A153716 A153717 * A153719 A153720 A153721 KEYWORD nonn,more AUTHOR Hieronymus Fischer, Jan 06 2009 STATUS approved

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Last modified September 17 16:45 EDT 2021. Contains 347487 sequences. (Running on oeis4.)