In attacking A103314, I decided to try to plot the sums of subsets of the roots of 1. For square roots, I got 1 2 1 where numbers count multiplicities of points. The 2 at the origin corresponds to A103314(2) = 2. For cube roots, I got 1 1 1 2 1 1 1 so A103314(3) = 2. For fourth roots, I got 1 2 1 2 4 2 1 2 1 so that A103314(4) = 4. Now, notice that the square root plot includes the vertices you would see sighting a square along its diagonal. The cube root plot includes the vertices you would see sighting a cube along its great diagonal. Is the fourth root plot what you would (might) see sighting a tesseract along its great diagonal? Does the analogy extend to higher roots? - David W. Wilson "Truth is just truth -- You can't have opinions about the truth." - Peter Schickele, from P.D.Q. Bach's oratorio "The Seasonings"