%I #11 Jan 10 2022 11:55:03
%S 1,1,2,6,20,93,534,4291,47120,739310,16641941,539386425
%N Number of unlabeled, connected graphs on n vertices that have no induced subgraph isomorphic to a gem, where a gem is a 4-path with a fifth vertex adjacent to all four of the vertices in the path.
%D A. Brandstadt and D. Kratsch, "On (P5,Gem)-free and (P5,Gem,co-Gem)-free Graphs: Structure and algorithmic applications," Manuscript 2000.
%H Qingqiong Cai, Jan Goedgebeur, and Shenwei Huang, <a href="https://arxiv.org/abs/2108.05492">Some Results on k-Critical P_5-Free Graphs</a>, arXiv:2108.05492 [math.CO], 2021.
%H F. Hüffner, <a href="https://github.com/falk-hueffner/tinygraph">tinygraph</a>, software for generating integer sequences based on graph properties, version e8699da.
%K more,nonn
%O 1,3
%A _Jim Nastos_, Jan 24 2003
%E a(10)-a(12) added using tinygraph by _Falk Hüffner_, Jan 17 2016