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 A120721 #15 Oct 13 2024 03:57:57 %S A120721 1,3,6,10,15,21,28,36,46,58,72,88,106,126,148,172,198,225,255,288,324, %T A120721 363,405,450,498,549,603,660,720,783,847,915,987,1063,1143,1227,1315, %U A120721 1407,1503,1603,1707,1815,1927,2043,2163,2287,2412,2542,2677,2817,2962,3112,3267 %N A120721 Partial sums of A079645. %H A120721 G. C. Greubel, <a href="/A120721/b120721.txt">Table of n, a(n) for n = 1..10000</a> %F A120721 a(n) = Sum_{j=1..n} A079645(j). %F A120721 a(n) ~ 2^(5/2)*n^(5/2)/(5*3^(3/2)) - 5*n^2/6. - _Vaclav Kotesovec_, Oct 13 2024 %t A120721 Accumulate[Select[Range[300],Divisible[#,Floor[CubeRoot[#]]]&]] (* _Harvey P. Dale_, Jun 19 2023 *) %o A120721 (Magma) %o A120721 A079645:=[n: n in [1..500] | n mod Floor(n^(1/3)) eq 0 ]; %o A120721 [(&+[A079645[k]: k in [1..n]]): n in [1..100]]; // _G. C. Greubel_, Jul 20 2023 %o A120721 (SageMath) %o A120721 A079645=[j for j in (1..500) if j%(floor(j^(1/3)))==0] %o A120721 def A120721(n): return sum(A079645[k] for k in range(n+1)) %o A120721 [A120721(n) for n in range(101)] # _G. C. Greubel_, Jul 20 2023 %Y A120721 Cf. A079645, A032378, A112873. %K A120721 nonn %O A120721 1,2 %A A120721 _N. J. A. Sloane_, Oct 29 2006