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how do you define a function or make a list with n elements, where n is any? More precisely there is a function in mathematica, BellY

[itex]BellY[n,k,\{x_{1},...x_{n-k+1}\}][/itex]

which gives the partial Bell polynomial. I would like to define in mathematica the complete Bell polynomial defined as

[itex]CBellY[n,\{x_{1},...x_{n}\}]=\sum_{k=1}^{n}BellY[n,k,\{x_{1},...x_{n-k+1}\}][/itex]

How can I do that?

Thank you.

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# Mathematica variable arguments

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