# $(a_{1}+ a_{2} + …+a_{k})^{n}$ where $k >2$, what does it generate?

Binomial expansion generates the Pascal triangle but what does it generate when you have different amount of terms there?

You can see here the geometric generation with only 2 terms. I am interested to know if you have many terms.

-
Do you mean Pascal's triangle? What is up with z and h? How many terms are inside parentheses? Do you mean something like $(a_1+a_2+\cdots+a_k)^n$ where $k$ is an integer greater than $2$? You get multinomial coefficients: en.wikipedia.org/wiki/Multinomial_theorem. Is that what you're looking for? – Jonas Meyer Jul 9 '11 at 0:20
@Jonas Meyer: yes, thanks. – hhh Jul 9 '11 at 1:07
@hhh: feel free to edit the question! – The Chaz 2.0 Jul 9 '11 at 4:21