Ramanujan's Polynomial.

7x2+5x+17297x^2 + 5x + 1729

The quadratic polynomial mentioned above has roots α\alpha and β\beta.

Let , Sn=αn1+βn1S_n = \alpha^{n-1} +\beta^{n-1}

Then evaluate :

n=1(Sn)2\sum_{n=1}^{\infty} (S_n)^2

Note by A Former Brilliant Member
3 years, 7 months ago

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