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Number of unlabeled, connected graphs on n vertices with no induced subgraph isomorphic to a K_4, where a K_4 is the complete graph on four vertices.
12

%I #21 Jun 11 2021 05:12:46

%S 1,1,2,5,17,82,536,5606,95915,2784072,135885572,10977061102,

%T 1448150962596

%N Number of unlabeled, connected graphs on n vertices with no induced subgraph isomorphic to a K_4, where a K_4 is the complete graph on four vertices.

%D Inverse EULER transform of A304124.

%H F. Hüffner, <a href="https://github.com/falk-hueffner/tinygraph">tinygraph</a>, software for generating integer sequences based on graph properties, version 332a754

%K nonn,more

%O 1,3

%A _Jim Nastos_, Jan 24 2003

%E a(10) from the Encyclopedia of Finite Graphs (_Travis Hoppe_ and _Anna Petrone_), Apr 11 2014

%E a(11) and a(12) added using tinygraph by _Falk Hüffner_, Jan 14 2016

%E a(13) from _Brendan McKay_, Jun 11 2021