math - Multinomial Generation of Degree n -

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I am basically looking for a conference function which will calculate multi-dimensional numbers by one degree and digits.

Example 

  2 variables; 2 degrees: x ^ 2 + y ^ 2 + x * y + x + y + 1

thanks.

see Knuth the art of computer programming , Volume 4, one in Fiscal 3 For the wider answers.

Brief answer: It is enough that in all multilateral expressions with degrees n with the variable exactly d. Then, for your problem, you can either add the answer with the degree, or add a dummy variable "1".

The problem of making all the expressions with the degree is D, so that's just one of the generating commands all ordered split (i.e., x 1 + ... + All non-integer integer solutions for x n = d), and this can be done with a simple back tracking algorithm. ("Depth-First Search")


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