SpecialSequence
Exeter
2015
Define a sequence of positive integers s1,s2,...,s10 to be terrible if the following conditions are satisfied for any pair of positive integers i and j satisfying 1≤i<j≤10:
- si>sj
- j−i+1 divides the quantity si+si+1+⋯+sj
Determine the minimum possible value of s1+s2+⋯+s10 over all terrible sequences.