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%I #7 Sep 08 2022 08:46:18
%S 1,2,4,24,48,768,1536,36864,221184,3538944,7077888,2038431744,
%T 4076863488,65229815808,1043677052928,125241246351360,250482492702720,
%U 72138957898383360,144277915796766720,41552039749468815360,664832635991501045760,10637322175864016732160
%N Partial products of A211776 (Product_{d|n} tau(d)).
%C tau(n) is the number of positive divisors of n (A000005).
%F a(n) = prod_{i=1..n} A211776(i).
%t FoldList[Times, Table[Product[DivisorSigma[0, d], {d, Divisors@ n}], {n, 22}]] (* _Michael De Vlieger_, Dec 25 2016 *)
%o (Magma) [&*[&*[NumberOfDivisors(d): d in Divisors(k)]: k in [1..n]]: n in [1..100]]
%Y Cf. A000005, A175596 (partial products of A007425), A237349 (partial sums of A211776).
%K nonn
%O 1,2
%A _Jaroslav Krizek_, Dec 25 2016