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A352175 The number of Feynman graphs in phi^3 theory with 2n vertices, 2 external legs. 5

%I #22 Mar 15 2023 05:36:27

%S 1,5,30,186,1276,9828,86279,866474,9924846,128592118,1864888539,

%T 29950693288,527584198445,10109318656565,209256249845854,

%U 4651751087878667,110501782280985273,2792991694461152344,74832356485576239136,2118333127408342718683,63169771935593153194107

%N The number of Feynman graphs in phi^3 theory with 2n vertices, 2 external legs.

%C a(n) is the number of multigraphs with 2n unlabeled nodes of degree 3 plus 2 noninterchangeable nodes of degree 1, loops allowed. - _Andrew Howroyd_, Mar 10 2023

%H R. de Mello Koch and S. Ramgoolam, <a href="https://doi.org/10.1103/PhysRevD.85.026007">Strings from Feynman graph counting: Without large N</a>, Phys. Rev. D 85 (2012) 026007, App. D.

%H R. J. Mathar, <a href="/A352175/a352175.pdf">Illustrations</a>

%Y Cf. A129427 (no external legs), A352173 (degree 4 case), A361447 (connected).

%K nonn

%O 0,2

%A _R. J. Mathar_, Mar 07 2022

%E a(0) prepended and terms a(9) and beyond from _Andrew Howroyd_, Mar 10 2023

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Last modified July 30 11:23 EDT 2024. Contains 374743 sequences. (Running on oeis4.)