ちなみに
Σ[k=1,n]a[k]
=(1/2)*[{n(n+1)(2n+1)/6}+{n(n+1)/2}]
=(1/2)*{n(n+1)/6}*{(2n+1)+3}
=(1/2)*{n(n+1)/6}*{2(n+2)}
={n(n+1)(n+2)}/6