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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.

A372710 a(n) = Sum_{k=1..n} sigma(n*k).

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%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