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A387168
Number of isomorphism classes of multigraphs representing particle interactions in phi-4-theory on n non-external vertices.
0
1, 1, 2, 8, 26, 124, 627, 3794, 25306, 188746
OFFSET
1,3
COMMENTS
Formally defined as number of isomorphism classes of connected multigraphs free from cut edges and generalized loops, with all vertices of degree four except for four external vertices of degree one.
LINKS
Klara Bragesjö Björkén and Kasper Johansson, Feynman Graphs.
EXAMPLE
a(1) = 1 [=o=] ;
a(2) = 1 [=o=o=] ;
a(3) = 2 [=o=o=o= and -o--o=]
||/
-o
CROSSREFS
Generated from graphs counted in A129417.
Sequence in context: A150707 A150708 A150709 * A130613 A143338 A027267
KEYWORD
nonn,hard,more
AUTHOR
Kasper Johansson, Aug 20 2025
STATUS
approved