Resol a_{1}=1a_{n}=2n^2+1pis_{n}

$$a _ { 1 } = 1 a _ { n } = 2 n ^ { 2 } + 1 \pi s _ { n }$$

Calcula (complex solution)

$$a_{1}=a_{n}\text{ and }a_{n}=2n^{2}+\pi s_{n}$$

Resoleu s_n

$$s_{n}=\frac{a_{n}-2n^{2}}{\pi }$$

$$a_{1}=a_{n}$$

Resoleu n

$$n=-\frac{\sqrt{2\left(a_{n}-\pi s_{n}\right)}}{2}$$

$$n=\frac{\sqrt{2\left(a_{n}-\pi s_{n}\right)}}{2}\text{, }a_{n}\geq \pi s_{n}\text{ and }a_{1}=a_{n}$$