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Partial sums of A266265 (Product_{d|n} pod(d)).
1

%I #8 Sep 08 2022 08:46:18

%S 1,3,6,22,27,243,250,1274,1355,2355,2366,2988350,2988363,2991107,

%T 2994482,4043058,4043075,38055299,38055318,102055318,102064579,

%U 102075227,102075250,63403483040626,63403483041251,63403483058827,63403483117876,63403965008180

%N Partial sums of A266265 (Product_{d|n} pod(d)).

%C pod(n) is the product of the divisors of n (A007955).

%F a(n) = Sum_{i=1..n} A266265(i).

%t Accumulate@ Array[Product[Times @@ Divisors@ d, {d, Divisors@ #}] &, 28] (* _Michael De Vlieger_, Dec 26 2016 *)

%o (Magma) [&+[&*[&*[b: b in Divisors(d)]: d in Divisors(k)]: k in [1..n]]: n in [1..1000]]

%Y Cf. A007955, A175317, A266265, A280114 (partial sums of A175317), A280117 (partial products of A266265).

%K nonn

%O 1,2

%A _Jaroslav Krizek_, Dec 26 2016