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 A344675 #12 Mar 27 2022 03:17:49
%S A344675 1,9,31,75,146,256,406,610,870,1194,1590,2069,2631,3286,4043,4910,
%T A344675 5889,6997,8228,9600,11114,12781,14605,16599,18760,21106,23636,26363,
%U A344675 29292,32429,35781,39359,43169,47212,51505,56054,60855,65924,71268,76898,82807,89021
%N A344675 a(n) = Sum_{k=1..n} floor(n^3/k^3).
%C A344675 In general, for m > 1, Sum_{k=1..n} floor(n^m/k^m) ~ zeta(m)*n^m + zeta(1/m)*n.
%H A344675 Vaclav Kotesovec, <a href="/A344675/b344675.txt">Table of n, a(n) for n = 1..10000</a>
%H A344675 Vaclav Kotesovec, <a href="/A344675/a344675.jpg">Plot of (a(n) - zeta(3)*n^3)/n for n = 1..100000</a>
%F A344675 a(n) ~ zeta(3)*n^3 + zeta(1/3)*n.
%t A344675 Table[Sum[Floor[n^3/k^3], {k, 1, n}], {n, 1, 50}]
%Y A344675 Cf. A001158, A006218, A153818.
%K A344675 nonn
%O A344675 1,2
%A A344675 _Vaclav Kotesovec_, May 26 2021