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A304911 Number of labeled hyperforests spanning n vertices without singleton edges. 17

%I #6 May 21 2018 11:26:14

%S 1,0,1,4,32,351,5057,90756,1956971,49366904,1427680932,46590895869,

%T 1694163054597,67938488277050,2978980898086377,141801848209013050,

%U 7282651452378019772,401410357608479625207,23635996827115264290005

%N Number of labeled hyperforests spanning n vertices without singleton edges.

%F E.g.f.: exp(A030019(x) - x - 1) where A030019(x) is the e.g.f. of A030019.

%e The a(3) = 4 hyperforests are {{1,2,3}}, {{1,3},{2,3}}, {{1,2},{2,3}}, {{1,2},{1,3}}.

%Y Cf. A006126, A030019, A035053, A048143, A054921, A134954, A134955, A134957, A144959, A293993, A293994, A304716, A304717, A304867.

%K nonn

%O 0,4

%A _Gus Wiseman_, May 20 2018

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Last modified August 10 23:32 EDT 2024. Contains 375059 sequences. (Running on oeis4.)