Solve for s_n
s_{n}=n^{2}-n-478999
Solve for n
n=\frac{\sqrt{4s_{n}+1915997}+1}{2}
n=\frac{-\sqrt{4s_{n}+1915997}+1}{2}\text{, }s_{n}\geq -\frac{1915997}{4}
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s_{n}=-478999-n+1n^{2}
Subtract 479000 from 1 to get -478999.
s_{n}=n^{2}-n-478999
Reorder the terms.
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