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 A372785 #11 Jan 13 2025 12:29:29 %S A372785 2,4,4,6,3,8,4,8,6,6,4,12,4,8,6,10,4,12,4,9,8,8,4,16,4,8,8,12,4,12,4, %T A372785 12,8,8,6,18,4,8,8,12,4,16,4,12,9,8,4,20,6,8,8,12,4,16,6,16,8,8,4,18, %U A372785 4,8,12,14,6,16,4,12,8,12,4,24,4,8,8,12,8,16,4,15,10,8,4,24,6,8,8,16,4,18,8,12,8,8,6 %N A372785 a(n) = tau(5*n) = A000005(5*n). %H A372785 Antti Karttunen, <a href="/A372785/b372785.txt">Table of n, a(n) for n = 1..20000</a> %H A372785 Vaclav Kotesovec, <a href="/A372785/a372785.jpg">Graph - the asymptotic ratio (100000 terms)</a> %F A372785 Sum_{k=1..n} a(k) ~ (9*n*(log(n) + 2*gamma - 1) + n*log(5)) / 5, where gamma is the Euler-Mascheroni constant A001620. %t A372785 Table[DivisorSigma[0, 5*n], {n, 1, 150}] %o A372785 (PARI) A372785(n) = numdiv(5*n); \\ _Antti Karttunen_, Jan 13 2025 %Y A372785 Cf. A283118. %Y A372785 Cf. A000005, A099777, A372713, A372784, A372786, A372787, A372788, A372789, A372790, A372791, A372792. %K A372785 nonn %O A372785 1,1 %A A372785 _Vaclav Kotesovec_, May 13 2024 %E A372785 More terms from _Antti Karttunen_, Jan 13 2025