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A280075
Partial products of A211776 (Product_{d|n} tau(d)).
1
1, 2, 4, 24, 48, 768, 1536, 36864, 221184, 3538944, 7077888, 2038431744, 4076863488, 65229815808, 1043677052928, 125241246351360, 250482492702720, 72138957898383360, 144277915796766720, 41552039749468815360, 664832635991501045760, 10637322175864016732160
OFFSET
1,2
COMMENTS
tau(n) is the number of positive divisors of n (A000005).
FORMULA
a(n) = prod_{i=1..n} A211776(i).
MATHEMATICA
FoldList[Times, Table[Product[DivisorSigma[0, d], {d, Divisors@ n}], {n, 22}]] (* Michael De Vlieger, Dec 25 2016 *)
PROG
(Magma) [&*[&*[NumberOfDivisors(d): d in Divisors(k)]: k in [1..n]]: n in [1..100]]
CROSSREFS
Cf. A000005, A175596 (partial products of A007425), A237349 (partial sums of A211776).
Sequence in context: A262698 A347946 A168054 * A068506 A272640 A192513
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Dec 25 2016
STATUS
approved