Computers and Technology, 12.03.2021 15:20 StrawberryCake24
Pascal’s triangle is a useful recursive definition that tells us the coefficients in the expansion of the polynomial (x + a)^n. Each element in the triangle has a coordinate, given by the row it is on and its position in the row (which you could call its column). Every number in Pascal’s triangle is defined as the sum of the item above it and the item that is directly to the upper left of it. If there is a position that does not have an entry, we treat it as if we had a 0 there. Below are the first few rows of the triangle:
Item: 0 1 2 3 4 5
Row 0: 1
Row 1: 1 1
Row 2: 1 2 1
Row 3: 1 3 3 1
Row 4: 1 4 6 4 1
Row 5: 1 5 10 10 5 1
Define the procedure pascal(row, column) which takes a row and a column, and finds the value at that position in the triangle. Don’t use the closed-form solution, if you know it.
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Pascal’s triangle is a useful recursive definition that tells us the coefficients in the expansion o...
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