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 A372786 #11 Jul 19 2024 13:29:26
%S A372786 4,6,6,8,8,9,8,10,8,12,8,12,8,12,12,12,8,12,8,16,12,12,8,15,12,12,10,
%T A372786 16,8,18,8,14,12,12,16,16,8,12,12,20,8,18,8,16,16,12,8,18,12,18,12,16,
%U A372786 8,15,16,20,12,12,8,24,8,12,16,16,16,18,8,16,12,24,8,20
%N A372786 Number of divisors of 6n; a(n) = tau(6*n) = A000005(6*n).
%H A372786 Antti Karttunen, <a href="/A372786/b372786.txt">Table of n, a(n) for n = 1..65537</a>
%H A372786 Vaclav Kotesovec, <a href="/A372786/a372786.jpg">Graph - the asymptotic ratio (100000 terms)</a>
%F A372786 Sum_{k=1..n} a(k) ~ (15*n*(log(n) + 2*gamma - 1) + n*(5*log(2) + 3*log(3))) / 6, where gamma is the Euler-Mascheroni constant A001620.
%t A372786 Table[DivisorSigma[0, 6*n], {n, 1, 150}]
%o A372786 (PARI) A372786(n) = numdiv(6*n); \\ _Antti Karttunen_, Jul 19 2024
%Y A372786 Cf. A224613.
%Y A372786 Cf. A000005, A001620, A099777, A372713, A372784, A372785, A372787, A372788, A372789, A372790, A372791, A372792.
%K A372786 nonn
%O A372786 1,1
%A A372786 _Vaclav Kotesovec_, May 13 2024