A191658 Table, by rows, of denominators of alpha-coefficients in the symmetrized product of 2n Dirac matrices with two tensor indices.

1, 2, 3, 6, 3, 45, 4, 3, 9, 45, 315, 120, 9, 9, 45, 135, 315, 14175, 720, 36, 9, 81, 135, 135, 2025, 315, 945, 14175, 467775, 5040, 180, 27, 81, 135, 135, 405, 2025, 945, 945, 14175, 14175, 42525, 467775, 42567525

Offset

1,2

Comments

The numerators are A191657. From table 1 by Izaurieta et al.

Links

Table of n, a(n) for n=1..44.

Fernando Izaurieta, Ricardo Ramírez, Eduardo Rodríguez, An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices, arXiv:1106.1648, June 08 2011.

Example

The coefficients corresponding to each partition of 4 are:
1 + 1 + 1 + 1 -> 1/24;
2 + 1 + 1 -> -1/3;
2 + 2 -> 2/9;
3 + 1 -> 32/45;
4 -> -272/315.

Crossrefs

Cf. A191657.

Sequence in context: A267352 A101401 A106834 * A021427 A352478 A091834

Adjacent sequences: A191655 A191656 A191657 * A191659 A191660 A191661

Keyword

nonn,frac,tabf

Author

Jonathan Vos Post, Jun 10 2011

Status

approved