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\(\left(n+1\right)a_n = 2a_{n-1}+\left(n-1\right)\)

\(\Rightarrow \left(n+1\right)a_n = 2\left(a_{n-1}-1\right)+\left(n+1\right)\)

\(\Rightarrow \left(n+1\right)\left(a_n -1\right) = 2\left(a_{n-1}-1\right)\)

後面用「累乘法」~

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