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 A325509 Number of factorizations of n! into factorial numbers > 1. 7
 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS FORMULA a(n) = 1 + A034876(n). EXAMPLE n = 10:   (6*120*5040)   (720*5040)   (3628800) n = 16:   (2*2*2*2*1307674368000)   (2*120*87178291200)   (20922789888000) n = 24:   (2*2*6*25852016738884976640000)   (24*25852016738884976640000)   (620448401733239439360000) MATHEMATICA facs[n_, u_]:=If[n<=1, {{}}, Join@@Table[Map[Prepend[#, d]&, Select[facs[n/d, u], Min@@#>=d&]], {d, Intersection[u, Rest[Divisors[n]]]}]]; Table[Length[facs[n!, Rest[Array[#!&, n]]]], {n, 15}] CROSSREFS Cf. A000142, A011371, A022559, A034876, A034878, A076934, A109100, A109101, A109102, A115627, A135291, A322583, A325272, A325273, A325276, A325508, A325510, A325511. Sequence in context: A025817 A109381 A058506 * A324117 A106698 A097848 Adjacent sequences:  A325506 A325507 A325508 * A325510 A325511 A325512 KEYWORD nonn AUTHOR Gus Wiseman, May 08 2019 EXTENSIONS More terms from Alois P. Heinz, May 08 2019 STATUS approved

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Last modified August 25 05:19 EDT 2019. Contains 326318 sequences. (Running on oeis4.)