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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.

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    @hhh: feel free to edit the question!2011-07-09

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See: multinomial theorem
http://en.wikipedia.org/wiki/Multinomial_theorem

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    In particular, see the section [Generalized Pascal's triangle](http://en.wikipedia.org/wiki/Multinomial_theorem#Generalized_Pascal.27s_triangle) and the articles linked there, [Pascal's pyramid](http://en.wikipedia.org/wiki/Pascal%27s_pyramid) and [Pascal's simplex](http://en.wikipedia.org/wiki/Pascal%27s_simplex)2011-07-09