What are the numbers (calculated by the given expression) called?

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The numbers calculated by the expression:

$$ T(n) = \frac{n(n + 1)}{2} $$

are called Triangular numbers.

What are the numbers (calculated by the expression below) called?

$$ T(n) = \frac{n(n - 1)}{2} $$

Do they have any name at all?

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They're still triangular numbers. Shift by $1$ like so: $n\mapsto n-1$.