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

Author

Jaroslav Krizek, Dec 26 2016

Keywords

• nonn

Comments

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

Crossrefs

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

Programs

Magma

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

Mathematica

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

Formula

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