This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A153710 #16 Mar 25 2019 17:20:05 %S A153710 1,3,5,9,10,11,59,81,264,281,472,3592,10479,12128,65875,118885 %N A153710 Numbers k such that the fractional part of Pi^k is less than 1/k. %C A153710 Numbers k such that fract(Pi^k) < 1/k, where fract(x) = x-floor(x). %C A153710 The next such number must be greater than 100000. %C A153710 a(17) > 300000. - _Robert Price_, Mar 25 2019 %e A153710 a(4) = 9 since fract(Pi^9) = 0.0993... < 1/9, but fract(Pi^k) = 0.3891..., 0.2932..., 0.5310... for 6 <= k <= 8, which all are greater than 1/k. %t A153710 Select[Range[1000], N[FractionalPart[Pi^#], 100] < (1/#) &] (* _G. C. Greubel_, Aug 25 2016 *) %o A153710 (PARI) isok(k) = frac(Pi^k) < 1/k; \\ _Michel Marcus_, Feb 11 2014 %Y A153710 Cf. A153662, A153670, A153678, A153686, A153694, A153702, A153714, A154130, A153718. %Y A153710 Cf. A001672. %K A153710 nonn,more %O A153710 1,2 %A A153710 _Hieronymus Fischer_, Jan 08 2009 %E A153710 a(16) from _Robert Price_, Mar 25 2019