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A157016
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Number of graphs with n vertices such that a bipartite connected component doesn't exist.
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2
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1, 0, 0, 1, 3, 16, 96, 812, 10957, 260494, 11713772, 1006689871, 164059928509, 50335918374222, 29003488479015273, 31397381309486933777, 63969560164056545231089, 245871831711240782887877980, 1787331725280384281389706209909, 24636021429463931875328533035140871, 645465483198968863672173418327800803328
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OFFSET
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0,5
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LINKS
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Table of n, a(n) for n=0..20.
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FORMULA
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Euler transform of A157051. - Max Alekseyev, Feb 22 2009
A157015(n) + a(n) = A000088(n).
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MATHEMATICA
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cbs[g_] := Or @@ Map[BipartiteQ, Map[InduceSubgraph[g, # ] &, ConnectedComponents[g]]] Table[Count[Map[cbs, ListGraphs[n]], False], {n, 6}]
Table[Count[Map[cbs, ListGraphs[n]], False], {n, 7}] (* Wouter Meeussen, Feb 21 2009 *)
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CROSSREFS
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Sequence in context: A000270 A157051 A000271 * A228792 A233203 A074553
Adjacent sequences: A157013 A157014 A157015 * A157017 A157018 A157019
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KEYWORD
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nonn
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AUTHOR
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Tanya Khovanova, Feb 21 2009
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EXTENSIONS
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a(7) from Wouter Meeussen, Feb 21 2009
Formula and terms a(8)-a(17) from Max Alekseyev, Feb 22 2009
Corrected by Max Alekseyev and Vladeta Jovovic, May 02 2009
a(18)-a(20) from Max Alekseyev, Jun 24 2013
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STATUS
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approved
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