Find the Pattern/Sequence

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(1+2)

(1+2)(4+2)

(1+2)(4+2)(7+2)

(1+2)(4+2)(7+2)(10+2)

I can see that each term in the sequence is multiplied by an additional term that is 3 greater than the previous 2 terms.

How can I represent this as a sequence? (e.g. a_n= f(n) )

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$$a_n=\Pi_{k=0}^{n} (1+2)\cdot (4+2) \cdot (7+2) \cdot \cdot\cdot\cdot\cdot ((3k+1)+2) $$