
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Calculate the sum of the first $n$ terms of the following series:

$$
0 \cdot 1^{2}+1 \cdot 2^{2}+2 \cdot 3^{2}+3 \cdot 4^{2}+4 \cdot 5^{2}+\ldots=0+4+18+48+100+\ldots
$$

Present the answer in LaTex format: \boxed{Your answer}
user