
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
Consider a similar triangular array where the nth row starts with n, and each subsequent number is derived by adding the two adjacent numbers from the previous row, but with an added twist: add an extra 1 to every number except the first and the last in each row. Find the sum of the numbers in the 20th row.

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