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 A157015 Number of graphs with n vertices having a bipartite connected component. 1
 0, 1, 2, 3, 8, 18, 60, 232, 1389, 14174, 291396, 12307993, 1031244083, 166112993730, 50667178220215, 29104660317374991, 31455540471012663839, 64032442292149795841796, 245999865227419158171980939, 1787823661072649054474456291897, 24639596830978183991220162941946112 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Tanya Khovanova, Can Someone Be Straight? [From Tanya Khovanova, Sep 23 2009] FORMULA a(n) = A000088(n) - A157016(n). MATHEMATICA cbs[g_] := Or @@ Map[BipartiteQ, Map[InduceSubgraph[g, # ] &, ConnectedComponents[g]]] Table[Count[Map[cbs, ListGraphs[n]], True], {n, 7}] (* from Eric W. Weisstein, May 02 2009: *) First do: <

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