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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. 4
1, 1, 3, 8, 25, 85, 397, 2183, 15129, 122585 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..9.

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 (2019)

CROSSREFS

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

Sequence in context: A151426 A045900 A000738 * A148798 A148799 A148800

Adjacent sequences:  A006369 A006370 A006371 * A006373 A006374 A006375

KEYWORD

nonn,more

AUTHOR

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

EXTENSIONS

3 more terms. - R. J. Mathar, Apr 08 2019

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

STATUS

approved

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Last modified April 5 20:24 EDT 2020. Contains 333260 sequences. (Running on oeis4.)