What is the next number in the series 3, 5, 15, 45, 113?

What is the next number in the series 3, 5, 15, 45, 113?

Sub-series formed by the difference between consecutive terms is 2, 10, 30 and 68.
This sub-series follows the below pattern.
13 + 1, 23 + 2, 33 + 3 and 43 + 4.

So the next term of the difference sub-series will be 53 + 5 = 130. Final answer will be 113 + (53 + 5) = 113 + 130 = 243.

Hence answer is 243.