A006372 Numbers of terms in expressions for coefficients of "Lovelock Lagrangians" (or "Gauss-Bonnet forms") in terms of Riemann-Christoffel curvature tensor and two of its contractions (viz., the Ricci curvature tensor and the Riemann curvature scalar) for n-dimensional differentiable manifolds having a general linear connection.

1, 1, 3, 8, 25, 85, 397, 2183, 15129, 122585

Offset: 0

Author

C. C. Briggs (ccb104(AT)vm.cac.psu.edu)

Keywords

• nonn
• more

Links

• C. Bogdanos, Diagrammatic derivation of Lovelock densities, Phys Rev. D 79 (10) (2009) 107501.
• C. C. Briggs, A General Expression for the Quintic Lovelock Tensor, arXiv:gr-qc/9607033, 1996-1997.
• C. C. Briggs, A General Expression for the Quartic Lovelock Tensor, arXiv:gr-qc/9703074, 1997.
• R. J. Mathar, 2-regular digraphs of the Lovelock Lagrangian, arXiv:1903.12477 [math.GM], 2019.

Crossrefs

Cf. A006373, A045900 (conjectural), A306892 (2-regular digraphs).

Extensions

a(6)-a(8) from R. J. Mathar, Apr 08 2019

a(9) added by R. J. Mathar, Apr 15 2019