Programming Assignment 1: (You may use any programming tool. A Javascript program for output (1) is given below.)

input: integers n, r (m, k; or m, n) where 0<=r<=n (0<=k<=m-1; or 1<=n<=m, respectively )

output:

(1) results of P(n, r), C(n, r), n^r, C(r+n-1, r) with respect to n, r;

(2) the first n Catalan, triangular, harmonic, Fibonacci, Lucas with respect to n;

(3) Eulerian numbers with respect to m, k for 0<=k<=m-1 (i.e., a_sub(m,0), a_sub(m,1), ... , a_sub(m,m-1) ) and

(4) Stirling number of the second kind with respect to m, n for 1<=n<=m (i.e., S_sub(m,1), S_sub(m,2), ... , a_sub(m,m) )

/* For those who are interested in coding in Javascript, which I suggest you to learn, please refer to the following ~.html. Please download the file via the link below and run it on your PC, NB, cell phone, etc.

https://drive.google.com/file/d/1CbIXqGgJJCFhRY2mjR9-_wTbJRRDnYwz/view?usp=sharing

(Open the file using Notepad++, Sublime or Notepad to get an easy reading format of well indented codes.)

*/