Find the coefficient of \(t^n\) in the expansion of \[ \displaystyle \underbrace{\int\int\int... ... \int \int}_\text{ n integrals } \underbrace{\text{d}t\text{ }\ldots\text{ }\ldots\text dt}_{\text{n}\text{ } dt's}\]

Assume all constants are equal to \(1.\)

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