simple stuff
Wouter Meeussen
w.meeussen.vdmcc at vandemoortele.be
Tue Aug 11 17:23:10 CEST 1998
Christian,
could you check on my calculation that the permutations of
{-1,-1,-1,-1, 1, 1, 1, 1} under symmetry conditions of
rotation through 2n positions (here n=4)
and
(-1) <--> (+1) exchange
give
n tot # distinct count*degeneracy
1 2 1 1*2
2 6 2 1*2+1*4
3 20 3 1*2+1*6+1*12
4 70 7 1*2+1*4+2*8+3*16
5 252 15 1*2+3*10+11*20
6 924 44 1*2+1*4+1*6+6*12+35*24
7 3432 128 1*2+9*14+118*28
8 12870 415 1*2+1*4+2*8+19*16+392*32
9 48620 1367 1*2+1*6+1*12+28*18+1336*36
resulting in a # of distinct permutations of
{1,2,3,7,15,44,128,415,1367,...}
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