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 A326514 Number of factorizations of n into factors > 1 where each factor has a different number of prime factors counted with multiplicity. 12
 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 2, 3, 1, 4, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 4, 1, 3, 3, 1, 1, 5, 1, 3, 1, 3, 1, 3, 1, 3, 1, 1, 1, 4, 1, 1, 3, 4, 1, 4, 1, 3, 1, 4, 1, 6, 1, 1, 3, 3, 1, 4, 1, 5, 2, 1, 1, 4, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 LINKS EXAMPLE The a(96) = 8 factorizations: (2*4*12), (2*6*8), (2*48), (3*4*8), (3*32), (4*24), (6*16), (96). MATHEMATICA facs[n_]:=If[n<=1, {{}}, Join@@Table[Map[Prepend[#, d]&, Select[facs[n/d], Min@@#>=d&]], {d, Rest[Divisors[n]]}]]; Table[Length[Select[facs[n], UnsameQ@@PrimeOmega/@#&]], {n, 100}] CROSSREFS Cf. A001055, A007837, A038041, A321455, A321469, A322794, A326026, A326515, A326516, A326517, A326533. Sequence in context: A224765 A160267 A115621 * A077565 A316979 A331024 Adjacent sequences:  A326511 A326512 A326513 * A326515 A326516 A326517 KEYWORD nonn AUTHOR Gus Wiseman, Jul 11 2019 STATUS approved

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Last modified February 20 15:52 EST 2020. Contains 332078 sequences. (Running on oeis4.)