Nth Decagonal Number

A decagonal number is a figurate number that represents a decagon. The formula to calculate the nth decagonal number is given by:

\[
D_n = 4n^2 - 3n
\]

Write a Python function `nth_decagonal_number(n)` that takes an integer `n` as input and returns the nth decagonal number.

#### Example Usage
```python [main.nopy]
print(nth_decagonal_number(1))  # Output: 1
print(nth_decagonal_number(3))  # Output: 27
print(nth_decagonal_number(7))  # Output: 175
```

#### Constraints
- The input `n` will be a positive integer.
- The function should return an integer.
def nth_decagonal_number(n):
    """
    Calculate the nth decagonal number.

    Args:
        n (int): The position of the decagonal number to calculate.

    Returns:
        int: The nth decagonal number.
    """
    # Implement the formula for the nth decagonal number
    pass
Intermediate mathfunctions
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