_{k}be the sequence of simple sums, that is S

_{1}=1, S

_{2}=1+2, S

_{k}=1+2+...+k then

S_{1}+ S_{2}+ ... + S_{k}= k.1+(k-1).2+(k-2).3+ ... + 2.(k-1)+1.k = the convolution of the sequence {1, ...,k}.

In your spare time you can show that sum of sums equals (n)(n+1)(n+2)/(1.2.3) and sum of sum of sums equals n(n+1)(n+2)(n+3)/(1.2.3.4) and so on.

1.2.3 = 6.

1.2.3.4 = 24.

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