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A327521
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Number of factorizations of the n-th squarefree number A005117(n) into squarefree numbers > 1.
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0
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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
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OFFSET
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1,5
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LINKS
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FORMULA
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MATHEMATICA
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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}]
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CROSSREFS
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See link for additional cross-references.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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