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Number of connected labeled graphs with n nodes where the set of center nodes and the set of nodes with the highest vertex degree are disjoint.
0

%I #12 Jul 02 2024 08:24:31

%S 0,0,0,0,0,900,62580,8648920,2035917072,876773787120

%N Number of connected labeled graphs with n nodes where the set of center nodes and the set of nodes with the highest vertex degree are disjoint.

%C It appears that the ratio of the entries of this sequence to the corresponding entries of A001187 reaches a maximum at n=8 and tends to 0 as n increases.

%Y Cf. A001187.

%K nonn,more

%O 1,6

%A _Nicholas M. R. Frieler_, Jul 01 2024

%E a(9)-a(10) from _Andrew Howroyd_, Jul 01 2024