Problem 55980. Generate Pascal's Triangle Matrix
Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row:
The values can also be calculated directly. The
value of the
row is
. For example, the fifth row is 1, 4, 6, 4, 1:
nchoosek(4,0)
ans =
1
nchoosek(4,1)
ans =
4
nchoosek(4,2)
ans =
6
nchoosek(4,3)
ans =
4
nchoosek(4,4)
ans =
1
Given a positive integer n, return an n-by-n matrix that represents the values of the first n rows of Pascal's triangle. The first k values of the kth row of the matrix will be the values from Pascal's triangle; the remaining n-k values should be 0.
For example, for n = 6, the output should be
1 0 0 0 0 0
1 1 0 0 0 0
1 2 1 0 0 0
1 3 3 1 0 0
1 4 6 4 1 0
1 5 10 10 5 1
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers88
Suggested Problems
-
13272 Solvers
-
Convert a numerical matrix into a cell array of strings
1745 Solvers
-
Mersenne Primes vs. All Primes
587 Solvers
-
1115 Solvers
-
Angle Between Analog Clock Hands
97 Solvers
More from this Author12
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!