
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

The fragment of a table shown is called the Leibniz triangle. Its properties are "analogous in the opposite sense" to the properties of Pascal's triangle. The numbers at the boundary of the triangle are the reciprocals of successive natural numbers. Each number inside equals the sum of the two numbers below it. Find the formula that relates the numbers from Pascal's and Leibniz's triangles.

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