cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A191657 #7 Mar 30 2012 18:40:59
%S A191657 1,1,-2,1,-2,32,1,-1,2,32,-272,1,-1,2,16,-64,-272,15872,1,-1,1,-4,16,
%T A191657 -64,512,-136,544,15872,-707584,1,-1,1,-4,4,-32,64,512,-136,544,-8704,
%U A191657 7936,-31744,-707584,89473024
%N A191657 Table, by rows, of numerators of alpha-coefficients in the symmetrized product of 2n Dirac matrices with two Tensor indices.
%C A191657 The number of columns equals the number of partitions of the row index n.
%C A191657 The denominators are A191658. From table 1 by Izaurieta et al.
%H A191657 Fernando Izaurieta, Ricardo Ramírez, Eduardo Rodríguez, <a href="http://arxiv.org/abs/1106.1648">An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices</a>, arXiv:1106.1648, June 08 2011.
%e A191657 The coefficients corresponding to each partition of 4 are:
%e A191657 1 + 1 + 1 + 1 -> 1/24;
%e A191657 2 + 1 + 1 -> -1/3;
%e A191657 2 + 2 -> 2/9;
%e A191657 3 + 1 -> 32/45;
%e A191657 4 -> -272/315.
%Y A191657 Cf. A191658.
%K A191657 sign,frac,tabf
%O A191657 1,3
%A A191657 _Jonathan Vos Post_, Jun 10 2011