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 A257855 #13 Aug 07 2023 03:55:47 %S A257855 0,1,32,243,1024,3125,7776,846,6487,18098,38949,73270,126371,204762, %T A257855 27072,98893,207584,363615,579136,868097,1246368,205578,541639,991310, %U A257855 1576341,2320882,3251603,68663,866304,1886905,3164576,4736427,6642688,8926829,646649,2643750 %N A257855 a(n) = 2*n^5 - floor(2^(1/5)*n)^5. %C A257855 Is there a simple expression for a nontrivial lower bound for a(n)? %e A257855 a(6) = 2*6^5 - floor(2^(1/5)*6)^5 = 2*7776 - 6^5 = 7776. %e A257855 a(7) = 2*7^5 - floor(2^(1/5)*7)^5 = 2*16807 - 8^5 = 846. %t A257855 Table[2 n^5 - Floor[2^(1/5) n]^5, {n, 0, 60}] (* _Vincenzo Librandi_, May 29 2015 *) %o A257855 (PARI) f(n,e=5,b=2)=n^e*b-floor(sqrtn(b,e)*n)^e %o A257855 (Magma) [2*n^5 - Floor(2^(1/5)*n)^5: n in [0..50]]; // _Vincenzo Librandi_, May 29 2015 %Y A257855 Cf. A087056 (analog for squares), A257853, A257854 (3rd & 4th power). %K A257855 nonn,easy %O A257855 0,3 %A A257855 _M. F. Hasler_, May 28 2015