A191657 Table, by rows, of numerators of alpha-coefficients in the symmetrized product of 2n Dirac matrices with two Tensor indices.

1, 1, -2, 1, -2, 32, 1, -1, 2, 32, -272, 1, -1, 2, 16, -64, -272, 15872, 1, -1, 1, -4, 16, -64, 512, -136, 544, 15872, -707584, 1, -1, 1, -4, 4, -32, 64, 512, -136, 544, -8704, 7936, -31744, -707584, 89473024

Offset

1,3

Comments

The number of columns equals the number of partitions of the row index n.

The denominators are A191658. 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. A191658.

Sequence in context: A173476 A281129 A136156 * A155796 A341530 A141238

Adjacent sequences: A191654 A191655 A191656 * A191658 A191659 A191660

Keyword

sign,frac,tabf

Author

Jonathan Vos Post, Jun 10 2011

Status

approved