As long as you observe carefully, you will find that many animals are "proficient" in mathematics

Animal mathematicians in nature

Observation rule: 1 = 12; 1 + 3 = 22; 1 + 3 + 5 = 32; 1 + 3 + 5 + 7 = 42 Then 1 + 3 + 5 + +What is the value of 2013______ ．

∵1=12；1+3=22；1+3+5=32；1+3+5+7=42；… ，∴1+3+5+… +2013 = (2013 + 12) 2 = 10072 = 1014049

It is known that s = 1 + 2-1 + 2-1 + 2-3 +... + 2-2005. Please calculate the formula on the right to find the value of S. thank you,

S=2005

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