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

0,3

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 [math.GM], 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

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

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

Status

approved