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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A330343 Number of labeled fully chiral simple graphs (also called identity or asymmetric graphs) covering n vertices.

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%I A330343 #7 Dec 14 2019 19:26:53
%S A330343 1,0,0,0,0,5760,766080,149022720,48990251520,28928242022400,
%T A330343 32147584690636800,69035206021583155200
%N A330343 Number of labeled fully chiral simple graphs (also called identity or asymmetric graphs) covering n vertices.
%C A330343 In a fully chiral graph, every permutation of the vertices gives a different representative, so the only automorphism is the identity.
%F A330343 a(n) = n! * A003400(n).
%t A330343 graprms[m_]:=Union[Table[Sort[Sort/@(m/.Rule@@@Table[{p[[i]],i},{i,Length[p]}])],{p,Permutations[Union@@m]}]];
%t A330343 Table[Length[Select[Subsets[Subsets[Range[n],{2}]],Length[graprms[#]]==n!&]],{n,5}] (* brute force, not for computation *)
%Y A330343 The unlabeled version is A003400.
%Y A330343 Identity trees are A004111.
%Y A330343 Covering simple graphs are A006129.
%Y A330343 Full chiral integer partitions are A330228.
%Y A330343 Fully chiral factorizations are A330235.
%Y A330343 Fully chiral set-systems are A330229 (labeled covering), A330282 (labeled), A330294 (unlabeled), A330295 (unlabeled covering).
%Y A330343 Graphs with exactly two automorphisms are A330297 (labeled covering), A330344 (unlabeled), A330345 (labeled), A330346 (unlabeled covering), A241454 (unlabeled connected).
%Y A330343 Cf. A006125, A016031, A124059, A143543, A330098, A330224, A330226, A330227, A330230, A330231, A330236.
%K A330343 nonn,more
%O A330343 1,6
%A A330343 _Gus Wiseman_, Dec 12 2019