Sn=[t^(n+1)-t]/(t-1) ,t≠1
Tn=S1+2S2+…nSn
(t-1)Tn=Hn-n(n+1)t/2
这里Hn=t^2+2t^3+…nt^(n+1)
tHn= t^3+2t^4+…+(n-1)t^(n+1)+nt^(n+2)
(t-1)Hn=nt^(n+2)-[t^(n+2)-t^2]/(t-1)
Hn=nt^(n+2)/(t-1)-[t^(n+2)-t^2]/(t-1)^2
Tn=nt^(n+2)/(t-1)^2-[t^(n+2)-t^2]/(t-1)^3 -n(n+1)t/2