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 A326906 Number of sets of subsets of {1..n} that are closed under union and cover all n vertices. 10
 2, 2, 8, 90, 4542, 2747402, 151930948472, 28175295407840207894 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Differs from A102895 in having a(0) = 2 instead of 1. LINKS FORMULA a(n) = 2 * A102894(n). EXAMPLE The a(0) = 2 through a(2) = 8 sets of subsets:   {}    {{1}}     {{1,2}}   {{}}  {{},{1}}  {{},{1,2}}                   {{1},{1,2}}                   {{2},{1,2}}                   {{},{1},{1,2}}                   {{},{2},{1,2}}                   {{1},{2},{1,2}}                   {{},{1},{2},{1,2}} MATHEMATICA Table[Length[Select[Subsets[Subsets[Range[n]]], Union@@#==Range[n]&&SubsetQ[#, Union@@@Tuples[#, 2]]&]], {n, 0, 3}] CROSSREFS The case without empty sets is A102894. The case with a single covering edge is A102895. Binomial transform is A102897. The case also closed under intersection is A326878 for n > 0. The same for intersection instead of union is (also) A326906. The unlabeled version is A326907. Cf. A000798, A102896, A102897, A108800, A193675, A306445, A326880, A326881, A326883. Sequence in context: A295382 A123642 A007848 * A303060 A270555 A270405 Adjacent sequences:  A326903 A326904 A326905 * A326907 A326908 A326909 KEYWORD nonn,more AUTHOR Gus Wiseman, Aug 03 2019 STATUS approved

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Last modified December 14 17:40 EST 2019. Contains 329979 sequences. (Running on oeis4.)