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 A372710 #17 Jun 01 2025 18:01:12 %S A372710 1,10,29,81,121,302,321,630,801,1264,1177,2521,1961,3234,4013,5140, %T A372710 4267,8013,5921,10701,10685,12166,10321,20458,15552,19610,21469,28473, %U A372710 20671,40340,25377,40351,39557,43048,45849,70020,43131,59690,63813,89154,58087,106310 %N A372710 a(n) = Sum_{k=1..n} sigma(n*k). %H A372710 Vaclav Kotesovec, <a href="/A372710/a372710.jpg">Graph - the asymptotic ratio (100000 terms)</a> %F A372710 Conjecture: a(n) ~ A372675(n) / 2 ~ Pi^4 * n^4 / (288*zeta(3)). - _Vaclav Kotesovec_, May 13 2024 %t A372710 Table[Sum[DivisorSigma[1, k*n], {k, 1, n}], {n, 1, 50}] (* _Vaclav Kotesovec_, May 13 2024 *) %o A372710 (PARI) a(n) = sum(k=1, n, sigma(n*k)); %Y A372710 Cf. A000203, A024916, A065764, A326124, A372675, A372709. %K A372710 nonn %O A372710 1,2 %A A372710 _Seiichi Manyama_, May 11 2024