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A372784 a(n) = tau(4*n) = A000005(4*n).

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%I A372784 #8 May 13 2024 12:22:05
%S A372784 3,4,6,5,6,8,6,6,9,8,6,10,6,8,12,7,6,12,6,10,12,8,6,12,9,8,12,10,6,16,
%T A372784 6,8,12,8,12,15,6,8,12,12,6,16,6,10,18,8,6,14,9,12,12,10,6,16,12,12,
%U A372784 12,8,6,20,6,8,18,9,12,16,6,10,12,16,6,18,6,8,18,10
%N A372784 a(n) = tau(4*n) = A000005(4*n).
%H A372784 Vaclav Kotesovec, <a href="/A372784/a372784.jpg">Graph - the asymptotic ratio (100000 terms)</a>
%F A372784 For n > 1, a(n) = A366872(n-2).
%F A372784 Sum_{k=1..n} a(k) ~ (8*n*(log(n) + 2*gamma - 1) + n*4*log(2)) / 4, where gamma is the Euler-Mascheroni constant A001620.
%t A372784 Table[DivisorSigma[0, 4*n], {n, 1, 150}]
%Y A372784 Cf. A193553, A366872.
%Y A372784 Cf. A000005, A099777, A372713, A372785, A372786, A372787, A372788, A372789, A372790, A372791, A372792.
%K A372784 nonn
%O A372784 1,1
%A A372784 _Vaclav Kotesovec_, May 13 2024