>>859
an=Σ(k)(n-k)Ck
f(x)=Σ(n)anx^n
=Σ(n)Σ(k)(n-k)Ckx^n
=Σ(k)Σ(n)(n-k)Ckx^n
=Σ(k)Σ(m)mCkx^(m+k)
=Σ(m)Σ(k)mCkx^(m+k)
=Σ(m)x^mΣ(k)mCkx^k
=Σ(m)x^m(1+x)^m
etc.