pascal

pascal(size: integer) : any[]

param size - the size of the pascal matrix, an integer, namely positive and not zero.

returns: any[] - the pascal matrix corresponding to the size (dimension-wise) wwgiven for the square matrix.

A pascal matrix has binomial coefficients as its entries. The binomial coefficients are the numbers in front of the variables for the expansion (a+b)^x, where x is variable. So for x = 2, (a+b)^2 = (a+b)(a+b) = a^2+2ab+b^2 = (1)a^2 + (2)ab + (1)b^2. Thus the coefficients for the case x = 2 is 1,2,1. This function takes in a number as its size, and returns the pascal matrix corresponding to that size.