Let G be an n-node graph with valencies d_1 .. d_n say; let m = (d_1 + ... + d_n)/n and s = n*Sum( (d_i-m)^2 ) be the scaled degree variance; a(n) gives number of different values taken by s.

A038193

Let G be an n-node graph with valencies d_1 .. d_n say; let m = (d_1 + ... + d_n)/n and s = n*Sum( (d_i-m)^2 ) be the scaled degree variance; a(n) gives number of different values taken by s.