cp's OEIS Frontend

A318130 Number of sets of subsets of {1,...,n} with intersection {}.

%I A318130 #6 Aug 19 2018 18:19:25
%S A318130 2,3,11,219,64595,4294642035,18446744047940725979,
%T A318130 340282366920938463334247399005993378251,
%U A318130 115792089237316195423570985008687907850547725730273056332267095982282337798563
%N A318130 Number of sets of subsets of {1,...,n} with intersection {}.
%F A318130 Binomial transform of A131288.
%F A318130 Inverse binomial transform of A119563(n) = 2^(2^n) + 2^n - 1.
%e A318130 The a(2) = 11 sets of sets:
%e A318130   {}
%e A318130   {{}}
%e A318130   {{},{1}}
%e A318130   {{},{2}}
%e A318130   {{1},{2}}
%e A318130   {{},{1,2}}
%e A318130   {{},{1},{2}}
%e A318130   {{},{1},{1,2}}
%e A318130   {{},{2},{1,2}}
%e A318130   {{1},{2},{1,2}}
%e A318130   {{},{1},{2},{1,2}}
%t A318130 Table[Length[Select[Subsets[Subsets[Range[n]]],Or[#=={},Intersection@@#=={}]&]],{n,0,4}]
%Y A318130 Cf. A000371, A001146, A003465, A119563, A131288, A318128, A318129.
%Y A318130 Cf. A318128, A318129, A318131, A318132.
%K A318130 nonn
%O A318130 0,1
%A A318130 _Gus Wiseman_, Aug 18 2018