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 A014818 #16 Jul 08 2025 05:42:25 %S A014818 1,4,11,24,43,71,109,160,222,298,391,502,631,781,953,1150,1369,1617, %T A014818 1891,2196,2531,2899,3301,3740,4215,4726,5283,5874,6511,7193,7921, %U A014818 8700,9521,10396,11323,12306,13339,14431,15581,16792,18061,19394,20791,22254,23784 %N A014818 a(n) is the sum over all floor(k^3/n), k=0 to n inclusive. %D A014818 M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhauser, 1985, p. 103. %H A014818 Vincenzo Librandi, <a href="/A014818/b014818.txt">Table of n, a(n) for n = 1..5000</a> %p A014818 f := m->sum( floor(k^3 / m), k=0..m); %t A014818 Table[Sum[Floor[k^3 / n], {k, n}], {n, 50}] (* _Vincenzo Librandi_, Feb 12 2017 *) %o A014818 (Magma) [&+[Floor(k^3/n): k in [1..n]]: n in [1..50]]; // _Vincenzo Librandi_, Feb 12 2017 %o A014818 (PARI) a(n) = sum(k=0, n, k^3\n); \\ _Michel Marcus_, Feb 12 2017 %Y A014818 Cf. A014817, A014819. %K A014818 nonn %O A014818 1,2 %A A014818 _N. J. A. Sloane_