Duplicates - which one is wrong?

[Gordon Royle]

The two sequences

http://www.research.att.com/projects/OEIS?Anum=A000421

and

http://www.research.att.com/projects/OEIS?Anum=A005965

are both meant to be connected cubic multigraphs...


Firstly, they are duplicates, and secondly, one of them is different  
to the other - in particular there are apparently 506, or maybe 509,  
connected cubic multigraphs on 12 vertices.

One of them originates from a paper of mine, and a re-computation  
again gives me the same figure (the 509) but obviously I might have  
made the same mistake again.

Can anyone confirm this number?

Cheers

Gordon