28 Jul
2007
28 Jul
'07
8:12 p.m.
On Saturday 28 July 2007, Dan Asimov wrote: [Wouter Meeussen:]
Imagine a necklace with n beads of up to n colours, say n=3 beads made of colours x[1], x[2] and x[3], then these are counted by:
Table[NecklacePolynomial[n,Array[x,n],Cyclic],{n,3,3}] {x[1]^3 + x[1]^2*x[2] + x[1]*x[2]^2 + x[2]^3 + x[1]^2*x[3] + 2*x[1]*x[2]*x[3] + x[2]^2*x[3] + x[1]*x[3]^2 + x[2]*x[3]^2 + x[3]^3} ...
[Dan:]
Wouter, can you please remind us how to multiply colours (8-)> ?
Symbolically, one variable per colour. What else could it be in this sort of enumerative context? (My apologies if the "8-)" means that you had no trouble seeing what he meant but thought it was funny anyway.) -- g