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A372787 a(n) = tau(7*n) = A000005(7*n).

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%I A372787 #6 May 13 2024 12:21:57
%S A372787 2,4,4,6,4,8,3,8,6,8,4,12,4,6,8,10,4,12,4,12,6,8,4,16,6,8,8,9,4,16,4,
%T A372787 12,8,8,6,18,4,8,8,16,4,12,4,12,12,8,4,20,4,12,8,12,4,16,8,12,8,8,4,
%U A372787 24,4,8,9,14,8,16,4,12,8,12,4,24,4,8,12,12,6,16,4
%N A372787 a(n) = tau(7*n) = A000005(7*n).
%H A372787 Vaclav Kotesovec, <a href="/A372787/a372787.jpg">Graph - the asymptotic ratio (100000 terms)</a>
%F A372787 Sum_{k=1..n} a(k) ~ (13*n*(log(n) + 2*gamma - 1) + n*log(7)) / 7, where gamma is the Euler-Mascheroni constant A001620.
%t A372787 Table[DivisorSigma[0, 7*n], {n, 1, 150}]
%Y A372787 Cf. A283078.
%Y A372787 Cf. A000005, A099777, A372713, A372784, A372785, A372786, A372788, A372789, A372790, A372791, A372792.
%K A372787 nonn
%O A372787 1,1
%A A372787 _Vaclav Kotesovec_, May 13 2024