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 A327521 Number of factorizations of the n-th squarefree number A005117(n) into squarefree numbers > 1. 0
 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 5, 1, 2, 2, 2, 1, 2, 2, 1, 5, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 5, 1, 2, 5, 1, 1, 2, 2, 5, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 5, 1, 5, 2, 1, 1, 5, 2, 1, 5, 2, 2, 2, 2, 2, 1, 2, 5, 1, 2, 2, 1, 5, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS FORMULA a(n) = A050320(A005117(n)) = A000110(A072047(n)) = A000110(A001222(A005117(n))). MATHEMATICA nn=100; facsusing[s_, n_]:=If[n<=1, {{}}, Join@@Table[Map[Prepend[#, d]&, Select[facsusing[Select[s, Divisible[n/d, #]&], n/d], Min@@#>=d&]], {d, Select[s, Divisible[n, #]&]}]]; y=Select[Range[nn], SquareFreeQ]; Table[Length[facsusing[Rest[y], n]], {n, y}] CROSSREFS See link for additional cross-references. Cf. A000110, A005117, A007947, A034444, A050320, A072047, A259936. Sequence in context: A329618 A026517 A072047 * A282870 A106802 A269254 Adjacent sequences:  A327518 A327519 A327520 * A327522 A327523 A327524 KEYWORD nonn AUTHOR Gus Wiseman, Sep 15 2019 STATUS approved

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Last modified May 17 22:15 EDT 2021. Contains 343992 sequences. (Running on oeis4.)