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 A257854 #13 Aug 07 2023 03:55:56 %S A257854 0,1,16,81,256,625,191,706,1631,3122,5359,721,3056,6497,11296,17729, %T A257854 751,7042,15471,26386,40159,57186,11536,28241,48896,73969,103952, %U A257854 14306,43391,78226,119375,167426,12016,58401,112672,175489,247536,226,69647,149426,240319 %N A257854 a(n) = 2*n^4 - floor(2^(1/4)*n)^4. %C A257854 Is there a simple expression for a nontrivial lower bound for a(n)? %e A257854 a(5) = 2*5^4 - floor(2^(1/4)*5)^4 = 2*625 - 5^4 = 625. %e A257854 a(6) = 2*6^4 - floor(2^(1/4)*6)^4 = 2*1296 - 7^4 = 191. %t A257854 Table[2 n^4 - Floor[2^(1/4) n]^4, {n, 0, 60}] (* _Vincenzo Librandi_, May 29 2015 *) %o A257854 (PARI) f(n,e=4,b=2)=n^e*b-floor(sqrtn(b,e)*n)^e %o A257854 (Magma) [2*n^4 - Floor(2^(1/4)*n)^4: n in [0..50]]; // _Vincenzo Librandi_, May 29 2015 %Y A257854 Cf. A087056 (analog for squares), A257853 & A257855 (3rd & 5th power). %K A257854 nonn,easy %O A257854 0,3 %A A257854 _M. F. Hasler_, May 28 2015