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 A347517 #20 Sep 05 2021 07:39:09 %S A347517 1,2,3,4,5,6,7,9,10,12,13,15,16,18,19,21,22,24,25,27,28,30,31,33,34, %T A347517 36,38,40,41,44,45,47,49,51,52,55,56,58,60,62,63,66,67,69,71,73,74,77, %U A347517 78,80,82,84,85,88,89,91,93,95,96,99,100,102,104,107,108,111,112,115,117,119,120,124,125,127,129,132,133,136 %N A347517 Partial sums of A347516. %H A347517 Seiichi Manyama, <a href="/A347517/b347517.txt">Table of n, a(n) for n = 1..10000</a> %F A347517 G.f.: (1/(1 - x)) * Sum_{k>=1} x^(k^3)/(1 - x^k). %t A347517 f[n_] := DivisorSum[n, 1 &, # <= n^(1/3) &]; Accumulate @ Array[f, 100] (* _Amiram Eldar_, Sep 04 2021 *) %o A347517 (PARI) N=99; x='x+O('x^N); Vec(sum(k=1, N^(1/3), x^k^3/(1-x^k))/(1-x)) %o A347517 (PARI) a(n) = sum(k=1, n, sumdiv(k, d, d^3<=k)); \\ _Michel Marcus_, Sep 05 2021 %Y A347517 Cf. A006218, A048766, A094820, A347516. %K A347517 nonn %O A347517 1,2 %A A347517 _Seiichi Manyama_, Sep 04 2021