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A191657 Table, by rows, of numerators of alpha-coefficients in the symmetrized product of 2n Dirac matrices with two Tensor indices. 1
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 (list; graph; refs; listen; history; text; internal format)
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 A141238 A094690

Adjacent sequences:  A191654 A191655 A191656 * A191658 A191659 A191660

KEYWORD

sign,frac,tabf

AUTHOR

Jonathan Vos Post, Jun 10 2011

STATUS

approved

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Last modified February 23 23:56 EST 2018. Contains 299595 sequences. (Running on oeis4.)