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 A318128 Number of set-systems (finite sets of finite nonempty sets) with union {1,2,...,n} and intersection {}. 10
 1, 0, 2, 84, 31478, 2147000136, 9223371998203475474, 170141183460469231537996491257596836636, 57896044618658097711785492504343953922551603929769020459976077632195066756398 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA Inverse binomial transform of A318129. EXAMPLE The a(2) = 2 set-systems are {{1},{2}}, and {{1},{2},{1,2}}. MATHEMATICA Table[Length[Select[Subsets[Rest[Subsets[Range[n]]]], And[Union@@#===Range[n], Intersection@@#=={}]&]], {n, 4}] CROSSREFS Cf. A000371, A001146, A003465, A119563, A131288. Cf. A318128, A318129, A318130, A318131, A318132. Sequence in context: A157063 A288312 A289198 * A181119 A293707 A157315 Adjacent sequences:  A318125 A318126 A318127 * A318129 A318130 A318131 KEYWORD nonn AUTHOR Gus Wiseman, Aug 18 2018 STATUS approved

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Last modified February 24 10:27 EST 2020. Contains 332209 sequences. (Running on oeis4.)