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A051862
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Perturbation expansion in quantum field theory: scalar case in 6 spacetime dimensions.
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2
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1, 11, 376, 20241, 1427156, 121639250, 12007003824, 1337583507153, 165328009728652, 22404009743110566, 3299256277254713760, 524366465815117346250, 89448728780073829991976
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| D. J. Broadhurst and D. Kreimer, Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Pad-Borel resummation. Phys. Lett. B 475 (2000), 63-70.
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LINKS
| D. J. Broadhurst and D. Kreimer, Combinatoric explosion of renormalization ...
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FORMULA
| The generating procedure is described by Broadhurst and Kreimer.
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EXAMPLE
| a(31) =7632236320181399967333968684399053053157812979126909028545984868160 was computed using Kreimer's Hopf algebra of rooted trees. It subsumes 2.6*10^21 terms in quantum field theory.
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CROSSREFS
| Cf. A000699.
Sequence in context: A000464 A024149 A018893 * A006698 A048431 A052290
Adjacent sequences: A051859 A051860 A051861 * A051863 A051864 A051865
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KEYWORD
| hard,nonn
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AUTHOR
| David Broadhurst (D.Broadhurst(AT)open.ac.uk), Dec 14 1999
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