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A224978 The number of completed primitive graphs of n loops, in enumerating Feynman graphs in quantum field theory. 0

%I #15 Mar 19 2023 09:36:27

%S 1,1,2,5,14,49,227,1354

%N The number of completed primitive graphs of n loops, in enumerating Feynman graphs in quantum field theory.

%C Table 2, page 10 of Brown and Schnetz.

%H Francis Brown and Oliver Schnetz, <a href="http://arxiv.org/abs/1304.5342">Modular forms in quantum field theory</a>, arXiv:1304.5342 [math.AG], Apr 19, 2013.

%H F. Brown, <a href="http://arxiv.org/abs/0910.0114v2">On the periods of some Feynman integrals</a>, arXiv:0910.0114v2 [math.AG], July 20, 2009.

%H F. Brown, D. Doryn, <a href="http://arxiv.org/abs/1301.3056v1">Framings for graph hypersurfaces</a>, arXiv:1301.3056v1 [math.AG], Jan 14, 2013.

%H O. Schnetz, <a href="https://arxiv.org/abs/0801.2856">Quantum periods: a census of phi^4 transcendentals</a>, arXiv:0801.2856 (2009), Table 1.

%Y Cf. A005411, A115974, A214298.

%K nonn

%O 3,3

%A _Jonathan Vos Post_, Apr 21 2013

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