Re: coefficients for a low pass binomial filter

[Spencer Graves <spencer.graves@PDF.COM>]

Have you considered:

          choose(k, 0:k)

hope this helps.  spencer graves

Stefano Sofia wrote:
> Dear Splus users,
> given the integer k, I need to calculate the coefficients that come from the
> expansion of (a+b)^(k)
>
> Examples:
> for k=2
> a^(2) + 2ab + b^(2)
> gives as coefficients 
> 1, 2, 1
> for k=4
> a^(4) + 4a^(3)b + 6a^(2)b^(2) + 4ab^(3) + b^(4)
> gives as coefficients 
> 1, 4, 6, 4, 1
>
> Which is the easiest way?  Is there any predefined command for that? (I am
> using Splus4)
>
> Thank you 
> Stefano
>
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