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S(1) = 1 = 12

S(2) = 1 + 3 = 4 = 22

S(3) = 4 + 5 = 9 = 32

S(4) = 9 + 7 = 16 = 42

etc

So S(2000) = 20002 = 4,000,000

I owe the insight to this answer to another contributor who, because of Wiki rules, cannot be named. How about *cienceguy22?

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13y ago
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Q: What is the sum of the first 2000 odd numbers?
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