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 A358038 #20 Jan 02 2024 07:45:54
%S A358038 1,3,6,10,15,21,28,37,47,58,70,83,97,112,129,147,166,186,207,229,252,
%T A358038 277,303,331,360,390,421,454,488,523,559,596,634,673,714,756,799,843,
%U A358038 888,934,981,1030,1080,1131,1183,1236,1291,1348,1406,1465,1525,1586,1648,1711
%N A358038 Partial sums of the cubefree numbers.
%C A358038 First differs from A025706 and A025730 at n = 14.
%C A358038 The analogous sequence with squarefree numbers is A173143.
%H A358038 Amiram Eldar, <a href="/A358038/b358038.txt">Table of n, a(n) for n = 1..10000</a>
%H A358038 Zhu Weiyi, <a href="https://fs.unm.edu/SNJ/OnTheCubeFreeNumberSequence.pdf">On the cube free number sequences</a>, Smarandache Notions J., Vol. 14 (2004), pp. 199-202.
%F A358038 a(n) = Sum_{k=1..n} A004709(k).
%F A358038 a(n) = (zeta(3)/2)*n^2 + O(n^(3/2+eps)) (Weiyi, 2004).
%t A358038 Accumulate[Select[Range[100], Max[FactorInteger[#][[;; , 2]]] < 3 &]]
%Y A358038 Cf. A002117, A004709, A173143.
%Y A358038 Cf. A025706, A025730.
%K A358038 nonn
%O A358038 1,2
%A A358038 _Amiram Eldar_, Oct 29 2022
%E A358038 Corrected by _Amiram Eldar_, Jan 02 2024