The coefficients a(k) of the polynomial factor Un(S)=Sum of (a(k)*S^(k) ) [from k=0 to k=n] in the harmonic oscillatoreigenfunction must satisfy the relation:
Sum of ([k*[k-1]*a(k)*S^(k-2) +2*(n-k)*a(k)*S^(k)])=0 [from k=0 to k=n]
Determine the form of U1(S) using this equation. (n=1)
