A095268 Graphical Partitions - Extend?

Paul D. Hanna pauldhanna at juno.com
Thu Aug 17 08:14:02 CEST 2006


Seqfans, 
     Could someone extend sequence: A095268  
"Numbers of distinct graphical partitions corresponding to graphs on n=1,
2, ... nodes."
 
With offset 0, A095268 begins:
[0, 0, 1, 2, 7, 20, 71, 240, 871, 3148, ?]
  
The self-convolution square-root of A095268 (with offset 0) begins: 
B = [0, 1, 1, 3, 7, 24, 75, 264, 917, ?]
 
I wonder ... do the terms of B continue to be integer? 
  
Since a g.f. for A095268 is not known, it would be interesting 
if the trend continued for more terms.  
 
More information may be found at:
http://mathworld.wolfram.com/GraphicalPartition.html
http://www.mathe2.uni-bayreuth.de/axel/
 
Thanks,
     Paul






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