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 A292884 Number of ways to shuffle together a multiset of compositions to form a composition of n. 0
 1, 3, 8, 25, 76, 248, 806, 2714, 9205, 31846, 111185, 393224 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE The a(3)=8 shuffles are: (111)<=((111)), (111)<=((1)(11)), (111)<=((1)(1)(1)), (12)<=((12)), (12)<=((1)(2)), (21)<=((21)), (21)<=((1)(2)), (3)<=((3)). MATHEMATICA nn=10; comps[0]:={{}}; comps[n_]:=Join@@Table[Prepend[#, i]&/@comps[n-i], {i, n}]; sps[{}]:={{}}; sps[set:{i_, ___}]:=Join@@Function[s, Prepend[#, s]&/@sps[Complement[set, s]]]/@Cases[Subsets[set], {i, ___}]; dealings[q_]:=Union[Function[ptn, Sort[q[[#]]&/@ptn]]/@sps[Range[Length[q]]]]; Table[Total[Length/@dealings/@comps[n]], {n, nn}] CROSSREFS Cf. A034691, A059966, A060223, A269134. Sequence in context: A148788 A292778 A022553 * A148789 A088327 A148790 Adjacent sequences:  A292881 A292882 A292883 * A292885 A292886 A292887 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 26 2017 EXTENSIONS a(12) from Robert Price, Sep 16 2018 STATUS approved

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Last modified October 21 23:02 EDT 2018. Contains 316431 sequences. (Running on oeis4.)