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Partial products of A175317 (Sum_{d|n} pod(d)).
2

%I #7 Sep 08 2022 08:46:18

%S 1,3,12,132,792,33264,266112,19958400,618710400,66820723200,

%T 801848678400,1425686950195200,19959617302732800,4111681164362956800,

%U 962133392460931891200,1057384598314564148428800,19032922769662154671718400,112313277263776374717810278400

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

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

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

%t FoldList[Times[#1, #2] &, Array[Sum[Times @@ Divisors@ d, {d, Divisors@ #}] &, 18]] (* _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, A206032, A280086 (partial products of A206032), A280114 (partial sums of A175317).

%K nonn

%O 1,2

%A _Jaroslav Krizek_, Dec 26 2016