2 I have implemented the Pascal's triangle in Python, it is pretty efficient, but it isn't efficient enough and there are a few things I don't like. The Pascal's triangle is like the following: I have read this useless tutorial and this question, and the solutions are extremely inefficient, involving factorials and don't use caching.
The most efficient way to calculate a row in pascal's triangle is through convolution. First we chose the second row (1,1) to be a kernel and then in order to get the next row we only need to convolve curent row with the kernel.
As a learning experience for Python, I am trying to code my own version of Pascal's triangle. It took me a few hours (as I am just starting), but I came out with this code: pascals_triangle = [] ...
Your first, obvious problem is of course that you should be printing Pascal (i,j). Your second is more subtle: Recursion The whole point of Pascal's Triangle is that it gives a way of computing binomial coefficients without needing to compute the factorials. The problem is factorials grow really quickly and a coefficient such as Pascal (1,120) = 120!/ (1!*119!}, is equal only to 120, but its ...
I have coded a Pascal's triangle program in Python, but the triangle is printing as a right angled triangle.
I have written a method to evaluate a Pascal's triangle of n rows. However when I test the method I receive the error: Exception in thread "main" java.lang.ArrayIndexOutOfBoundsException:...
In the function long paskal( int n , int i ), the n is representing the row whereas the i represent the column in that particular row and pascal() function is supposed to calculate the element at a particular location. A couple of points, in Pascal triangle: The leftmost and rightmost element of every row is 1.