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 A304648 Number of different periodic multisets that fit within some normal multiset of weight n. 0
 0, 1, 3, 7, 13, 25, 44, 78, 136, 242, 422, 747, 1314 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS A multiset is normal if it spans an initial interval of positive integers. It is periodic if its multiplicities have a common divisor greater than 1. LINKS EXAMPLE The a(5) = 13 periodic multisets: (11), (22), (33), (44), (111), (222), (333), (1111), (1122), (1133), (2222), (2233), (11111). MATHEMATICA allnorm[n_Integer]:=Function[s, Array[Count[s, y_/; y<=#]+1&, n]]/@Subsets[Range[n-1]+1]; Table[Length[Select[Union@@Rest/@Subsets/@allnorm[n], GCD@@Length/@Split[#]>1&]], {n, 10}] CROSSREFS Cf. A000217, A001597, A018783, A027941, A178472, A210554, A303547, A303709, A303974, A303976. Sequence in context: A092463 A259343 A210613 * A243737 A269832 A201081 Adjacent sequences:  A304645 A304646 A304647 * A304649 A304650 A304651 KEYWORD nonn,more AUTHOR Gus Wiseman, May 15 2018 EXTENSIONS a(12)-a(13) from Robert Price, Sep 15 2018 STATUS approved

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Last modified October 14 00:05 EDT 2019. Contains 327989 sequences. (Running on oeis4.)