Let \(S_n\) be the sum of the sequence \(\{a_n\}\) from \(a_1\) to \(a_n.\) If the following holds: \[a_1 =1 \ , \ a_{n+1}=S_n + n+ 1 \text{ for } n=1,2,3,\cdots, \] what is \(a_{10}?\)

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