# A nice generalization

$\large \sum_{k=0}^{\left\lfloor \frac{n-b}{3} \right\rfloor} \binom{n}{3k+b}$

Let $$n, b \in \mathbb{Z},$$ where $$n \geq 1$$ and $$0 \leq b < 3$$. Find the closed form of the sum above.

×

Problem Loading...

Note Loading...

Set Loading...