A280114 -id:A280114 - cp's OEIS frontend

A280115 Partial products of A175317 (Sum_{d|n} pod(d)).

1, 3, 12, 132, 792, 33264, 266112, 19958400, 618710400, 66820723200, 801848678400, 1425686950195200, 19959617302732800, 4111681164362956800, 962133392460931891200, 1057384598314564148428800, 19032922769662154671718400, 112313277263776374717810278400

Offset: 1

Jaroslav Krizek, Dec 26 2016

nonn

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

Cf. A007955, A175317, A206032, A280086 (partial products of A206032), A280114 (partial sums of A175317).

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

FoldList[Times[#1, #2] &, Array[Sum[Times @@ Divisors@ d, {d, Divisors@ #}] &, 18]] (* Michael De Vlieger, Dec 26 2016 *)

a(n) = Product_{i=1..n} A175317(i).

A280116 Partial sums of A266265 (Product_{d|n} pod(d)).

Original entry on oeis.org

1, 3, 6, 22, 27, 243, 250, 1274, 1355, 2355, 2366, 2988350, 2988363, 2991107, 2994482, 4043058, 4043075, 38055299, 38055318, 102055318, 102064579, 102075227, 102075250, 63403483040626, 63403483041251, 63403483058827, 63403483117876, 63403965008180

Offset: 1

Jaroslav Krizek, Dec 26 2016

nonn

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

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

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

Accumulate@ Array[Product[Times @@ Divisors@ d, {d, Divisors@ #}] &, 28] (* Michael De Vlieger, Dec 26 2016 *)

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

cp's OEIS Frontend

A280115 Partial products of A175317 (Sum_{d|n} pod(d)).

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