Why does np3 give 4S but np2 doesn't give 3S?

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For np3, there is a term symbol: 4S
I think it is because l are -1,0 and 1
So, L value=-1+0+1=0

However, for np2 , there is not a term symbol: 3S (I assume l are -1 and 1)

I know I misunderstand something, but what are they?
 

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Chemistry news on Phys.org
http://www.chem.utah.edu/faculty/morse/Courses_files/Atomic%20Term%20Symbols.pdf
 
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