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A280085 Partial sums of A206032 (Product_{d|n} sigma(d)). 2

%I #10 Sep 08 2022 08:46:18

%S 1,4,8,29,35,179,187,502,554,878,890,29114,29128,29704,30280,40045,

%T 40063,113071,113091,208347,209371,210667,210691,25612291,25612477,

%U 25614241,25616321,25842113,25842143,52715999,52716031,53331226,53333530,53336446,53338750

%N Partial sums of A206032 (Product_{d|n} sigma(d)).

%C sigma(n) is the sum of the divisors of n (A000203).

%F a(n) = Sum_{i=1..n} A206032(i).

%t Accumulate@ Array[Product[DivisorSigma[1, d], {d, Divisors@ #}] &, 35] (* _Michael De Vlieger_, Dec 26 2016 *)

%o (Magma) [&+[&*[SumOfDivisors(d): d in Divisors(k)]: k in [1..n]]: n in [1..100]]

%Y Cf. A000203, A007429, A206032, A280077 (partial sums of A007429), A280086 (partial products of A206032).

%K nonn

%O 1,2

%A _Jaroslav Krizek_, Dec 26 2016

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