

A191657


Table, by rows, of numerators of alphacoefficients 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
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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 RamÃrez, Eduardo RodrÃguez, 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



