Jasper's sum of subset products

Algebra Level 4

For each non-empty subset of integers {1,2,n} \{1,2\cdots,n\} , consider the reciprocal of the product of the elements. Let SnS_n denote the sum of these products. For example, S3=11+12+13+112+113+123+1123. S_3=\frac{1}1+\frac{1}2+\frac{1}3+\frac{1}{1\cdot 2}+\frac{1}{1\cdot 3}+\frac{1}{2\cdot 3}+\frac{1}{1\cdot 2\cdot 3}.

Find the sum of digits of S2013 S_{2013} .

This problem is shared by Jasper S.

×

Problem Loading...

Note Loading...

Set Loading...